diff --git "a/data/dm_maths/full_data_2/11112_11255.jsonl" "b/data/dm_maths/full_data_2/11112_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11112_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand -3*g + 2*g + 0*g + (-3*g + 2*g - g)*(1 + 4 - 3) - 2*g - 4*g + 5*g + (-318 + 318 - 12*g)*(1 - 2 - 1).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 163 + -78. Suppose 0 = -2*p + q + 233. What are the prime factors of p?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7193.\nAnswer: 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 31*u**2 - 3. Let i(g) = -1270*g. Give i(h(l)).\nAnswer: -39370*l**2 + 3810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-28)\/217)\/((-2)\/3). Let x = 49\/93 - s. Factor x - i**3 - 1\/3*i**2 + i.\nAnswer: -(i - 1)*(i + 1)*(3*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/9*-9 + -1 + 2. Suppose 0 = -o*b + 369 + 219. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.57.\nAnswer: -1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylhk when four letters picked without replacement from {l: 1, x: 6, y: 5, k: 1, h: 2}.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ococcokkkoskkcoc. Give prob of picking 1 c and 1 o.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13583799 divided by 5667\nAnswer: 2397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 - 3*a**2 + 3*a**3 - 4 + 2*a - 4*a**3 to d*a + l + h*a**2 + m*a**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-3)\/(-9))\/(420\/(-1512))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(3 + 52 + 24) - 1 + 3 + 1 + (0 + 2 + 0)*(-3 - 1 + 5) + 3 + 4 - 6)*(-2*j - 1 + 1 + (-j - 5*j + 5*j)*(2 + 4 - 4) + 0 + 0 + j).\nAnswer: 219*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) 0.09 (c) 165.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1638.19017ms?\nAnswer: 0.000018960534375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 + -61. Is 1\/(33\/t) + 6969\/33 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 315 + -519. Suppose 4*a = -2*i + 12, 4 = 4*a - 2*a. Let k be ((-4)\/l)\/((-1)\/i). Are k and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2331210 (base 4) to base 16\nAnswer: 2f64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 0*n - 7 + 8 - 3 + 3*n**2 - 2*n + n**3. Let q(d) = 6*d + 21. Let f(c) = -6*c**3 + 3*c**2 - 1. Let w be f(1). Let k be q(w). Calculate z(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-2\/7)*i)\/i*i)\/i)**(-7\/3)\/(i**(2\/5))**(-11\/5)*(i*i\/(i*i*i**(-5))*i\/((i**(1\/7)\/i)\/i))**(-2\/5) assuming i is positive.\nAnswer: i**(-2063\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -96 - (-218 - -72).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*14\/(-21).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + t - 32. What is the greatest common divisor of t and 254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (0 - -4) - 6. Let g(z) = -76*z - 4 + 3*z**2 + 229*z - 156*z. Let u(s) = 2*s**2 - s - 2. Determine i*g(t) + 5*u(t).\nAnswer: t**2 + 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4023, -5163, -30115, -78717, -158853, -278407, -445263, -667305?\nAnswer: -952417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-247*f**2 + 0*f**2 - 278*f**2)*(2 + 1 - 1).\nAnswer: -1050*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3688 and 268.\nAnswer: -988384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 49414\/39141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5234 is divided by 1705?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 3*n + 9. Let w = -14 - -10. Let t be g(w). Solve 5*q + 15 = -t*u, 4*u - q + 1 = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14230178 is divided by 664?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/9 - -1 - (-2120)\/159?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkl when three letters picked without replacement from lkkleekk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 6:24 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 246, 1009, 2274, 4035, 6286, 9021?\n\"Answer: -r**3 + 257*r**2 - r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*z = 47. Let f(v) = v**3 + 5*v**2 + 6*v + 2. Let c be f(-5). Let n = c + z. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n*o**4 - 2*n*o - 103*n + 2*o**3 wrt o?\nAnswer: 36*n*o**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124191663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -43*d - 2. Is x(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28057439317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80 + -9 + -37 - -19?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -135, -281, -441, -615?\n\"Answer: -7*y**2 - 125*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 322428*p. Let y(j) = -19*j**2. Determine v(y(l)).\nAnswer: -6126132*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 4, j: 7, s: 7}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u = 22*u + 128. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 54. Suppose -4*a + 69 = 4*g - s, -4*g + 4*a + 112 = 0. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -818*o + 1 - o**3 + 818*o + 0 + 12*o**3.\nAnswer: 11*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -19*u**2 + 99\/4*u**4 + 49 + 2*u + 0*u**3. Find the second derivative of a(d) wrt d.\nAnswer: 594*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*q**2*v*x**3 - 6*q**2*v*x + 7*q*v*x**3 + 2*q*v*x - 12*v*x**3 - 1934*v*x**2 wrt x.\nAnswer: -84*q**2*v + 42*q*v - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1944 and 2664?\nAnswer: 71928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -534 * -168.\nAnswer: 89712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -0.2, 6\/13, -15, 0.7, -1\/3?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1121252 divided by -16489.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 11 - (-3 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, 4, 78, 204, 400, 684, 1074?\nAnswer: 1588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 151840 and 3050816.\nAnswer: 198303040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51896844 to the nearest integer?\nAnswer: 7204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(7) + -6*sqrt(7)*-4 - (-2 + sqrt(7) + -4))**2.\nAnswer: 288*sqrt(7) + 4069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*b**4 - 39*b**2 + 2*b**3 - 8 + 17*b**4 - 36*b - 29*b - 31*b + 100*b as i*b**3 + l*b**2 + s*b + h*b**4 + q and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073?\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1*4*-1)\/((-92)\/(-46))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/6 - 3\/2. What is the units digit of (-3)\/((-12)\/152 - z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p - 8 - 148 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 3 = -8*i. Let q(y) = y + 7. Let x be q(-7). Let z = x - i. What is the biggest value in z, 1, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 16*o. Let z be l(2). Let m(a) = -a**3 + 10*a**2 - 25*a - 18. Let r be m(6). Let p be 122\/r - (40\/z)\/(-5). Which is bigger: p or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 7:02 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a72630 + 47?\nAnswer: -1a72594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-128)\/12)\/(-8) + (-8)\/6. Let f = 3 - -2. Put -2, f, -5, a in decreasing order.\nAnswer: f, a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.26 - -1.44. Let g = -1.70000013 + r. Round g to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 789 + 775 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 127748.\nAnswer: -638740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13192 is divided by 246?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4316.\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3\/5 - 388*s**2\/5 - 3840*s - 36864\/5 = 0.\nAnswer: -96, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136 + -67. Let p = f - 65. Which is the second smallest value? (a) 0 (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 2 - 13. Let r(z) = 11*z + 5. Let j(d) = 5*d + 2. What is a*j(q) - 2*r(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 3*g = -6, -2*q - 5*g = -g - 51 + 67 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 274, 2.\nAnswer: 4\/3, 2, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 86 + 15?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648*f**2 - 3171 - 2591 + 5760.\nAnswer: -648*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -143765*l**3 - 11*l**2 + 70*l wrt l.\nAnswer: -862590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 0 + 1\/8*b**4 + 2*b**2 + 1\/60*b**5 + 0*b - 1\/2*b**3. List the prime factors of n(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 25101461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2217414 is divided by 74.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n - 3952*n**2 + 2*n + 4562*n**2 to the form h + u*n**2 + s*n and give u.\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -831, -830, -829, -828, -827, -826?\nAnswer: -825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.9 + -1.1. Let p = g - 1.8. Which is the closest to -2\/5? (a) p (b) -0.03 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 0*z**2 + 0 + 1\/6*z**4 - 1\/5*z**5 - 1\/15*z**6 + 2\/3*z**3 + 13*z. Factor v(x).\nAnswer: -2*x*(x - 1)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 14723*a + 7508630. Give w(-529).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.14 - 0.04. Suppose -g = 3, 0*j = -j - 2*g - 2. Sort 2\/5, j, r in ascending order.\nAnswer: r, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*c**5 - 28921314*c**3 - 3*c**2 - 149419*c - 97 wrt c?\nAnswer: -360*c**2 - 173527884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in -0.4, 0.5, 2\/51?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.2 (b) 1403 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -37207598?\nAnswer: 37207593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -493701.3 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or 813.53?\nAnswer: 813.53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/53983452 and -115\/11916.\nAnswer: 161950356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -8\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 47*u - 442. Let f(q) = 33*q - 295. Calculate 5*d(k) - 7*f(k).\nAnswer: 4*k - 145","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.1927342 grams?\nAnswer: 192734200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 722155552 and -21?\nAnswer: 722155573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -11010221?\nAnswer: -11010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 73, 1\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/10 - 0)\/(5\/25)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 352 and 1991.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.015 in -0.2, 6, 0.5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**6\/420 + u**4\/84 + 3*u**2\/2 - 2. Let s(k) be the second derivative of j(k). Factor s(h).\nAnswer: -2*h*(h - 1)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((6 - 5) + 10 - 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3d0 (base 16) to base 14\nAnswer: -4da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6)*r)\/(r*(r\/(r*r*(r\/(r**(2\/17)\/r*r))\/r))\/r))**49 assuming r is positive.\nAnswer: r**(-3430\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1cac63b (base 13) to base 15.\nAnswer: c9810d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 24.96. What is the nearest to d in -0.3, -4, 3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93071382.\nAnswer: 2, 3, 29, 107, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 896451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/27565561 or 0?\nAnswer: 21\/27565561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 divided by -13.\nAnswer: -122\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 6*b**2 - 5*b + 6. Let v(s) = -s**3 + 7*s**2 - 6*s + 7. Let c(h) = 6*m(h) - 5*v(h). Let d be c(0). Let r be 1\/d*(2 - 1). Sort r, -1, 4.\nAnswer: -1, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfccllllaltatfjaalt. Give prob of picking 1 c and 1 f.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3032 is divided by 1479.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*q - 2*i - 0*i, 2*i + 14 = 4*q. Let z(x) = x + 8. Let u be z(-6). Let g = u + q. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-364)\/(-70))\/(20\/(-50)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(2\/19))**(-2\/31))**(-12\/5) assuming z is positive.\nAnswer: z**(408\/2945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 345*x.\nAnswer: 5*x*(x + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -21. Sort 0, 0.4, i.\nAnswer: i, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 9. Let p be v(3). Let q be 1*(-3)\/7 - p\/28. Solve 4*n - 5*a + 2 = q, 6*n + 6 = 5*n + 4*a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2914 less than 2917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.8, -2, 3165?\nAnswer: 3165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19176 - -306?\nAnswer: -18c70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -876 + 912. Let j be (-1)\/3*(-71 + -49). Solve j*l - c*l - 20 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4*u - 15 - 13, -5*u - 33 = -4*x. Differentiate 22 - x*h + 73*h**4 + 2*h + 0*h with respect to h.\nAnswer: 292*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 115435*w + 692664. Determine f(-6).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-294)\/98 - (2*-34 - -1). What is the highest common divisor of 128 and n?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 14*l - 6. What is u(12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 9 = 3*f + 3*t, -t - 6 = -2*f. Let b(l) = -97*l**2 - 4 + 98*l**2 + l + f. Let o(i) = 7*i**2 + 9*i - 4. Determine -6*b(d) + o(d).\nAnswer: d**2 + 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 12 - 22 + u)*(4*u**4 + 2*u**4 + 0*u**4).\nAnswer: 6*u**5 + 24*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11209426 - 0.1.\nAnswer: 11209425.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -8192488.2 to the nearest 100000.\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1277508?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 26*u + 17. Is d(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -369, -740, -1113, -1488, -1865?\n\"Answer: -w**2 - 368*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggziixxjzggzkjxzzxjj. Give prob of sequence xxgg.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1 (c) 5\/303\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3769 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b*s**4 + b*s**3 - 18*b*s + 8*s**4 - 218*s**3 - 190*s**2 - 12*s + 1 wrt s?\nAnswer: -24*b*s + 6*b + 192*s - 1308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5085 and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 6*i**2 - 2*i - 26. Let r be n(7). Solve r*y - 6*y = 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/360)\/(-2*(-3)\/(-30)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 792878366 and 427?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2020)\/(-220) + (-1 - -2)*-9.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n**3 + 8*n**2 - 33*n - 15. Let s = 13 + -22. Is m(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.94069 rounded to two dps?\nAnswer: -1.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, v: 4}. What is prob of sequence vdd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**28)\/((r*r\/(r**(3\/19)\/r))\/r))\/(r*r*r**30*(r\/r**(-34))\/r))**(1\/32) assuming r is positive.\nAnswer: r**(-901\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 55080000 to the nearest one million.\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/113 and -5?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 10. Let y = -9 - s. Let i = -2700 + 2699.9. Put i, 0.2, y in decreasing order.\nAnswer: y, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25170479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 2*w**2 + 3*w**2)*(2264 + 484 + 3371 - 13034).\nAnswer: 6915*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -39411*t**2 + 4*t + t**3 - 6*t + 39420*t**2 - 21 in the form n*t + v*t**2 + g + h*t**3 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 11*z + 8. What is d(13)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457459248.\nAnswer: 2, 3, 71, 269, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 252, 509, 766, 1023?\n\"Answer: 257*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 71*y + 1786. Calculate i(-26).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005972359804 to seven dps.\nAnswer: 0.0000597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67503.3345ns in weeks?\nAnswer: 0.00000000011161265625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574077 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - 2*sqrt(99))*-6 + (-5*(sqrt(99) + 0) + sqrt(99))**2 + (0 + sqrt(99))**2*3 + 2.\nAnswer: 18*sqrt(11) + 1883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -30. Suppose -80*t + 2204 = 118 + 166. Calculate the greatest common factor of g and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 - 2)*(-3*f + f - 2*f)*(-2 + 5 + 0) as w*f + k and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a. Let w(c) be the first derivative of -8*c**3\/3 - 5*c**2\/2 - 250. Determine x(w(p)).\nAnswer: 8*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 37084 (base 10) to base 4\nAnswer: 21003130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*x + x - 28, -5*x + 30 = 2*u. Let z be -13 + 16 + (-90)\/(-2). Let p = z + -31. What is the least common multiple of p and u?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*((-18)\/4 - -2). Let i = x + 7. Suppose 266 = i*s - 0*s + 4*w, 511 = 4*s + w. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53449?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51080839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/36*(6830\/(-980) + 7). Is -1 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - 381?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215763?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -7 + (-55 - -64).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 e when three letters picked without replacement from etqtqe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1259104214 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -7) + -2 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 - 4*n**2 + 3*n - 1. Let a(o) = 4*o**3 + 7*o**2 - 5*o + 2. Let f(h) = -4*h**2 - h. Let y = 70 - 71. Let b be f(y). What is b*a(t) - 5*c(t)?\nAnswer: -2*t**3 - t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 9*g - 9. Let y be o(-7). Suppose 5*k - 2*m + y*m + 13 = 0, m - 19 = 3*k. Let r = k + 8. Which is the nearest to 1\/2? (a) r (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*o + 151, 0*t - 14 = t + 5*o. Let q = -24 - t. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgxgixggxig. What is prob of picking 2 g, 1 x, and 1 i?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 36*n**2 - 41*n + 162. Determine u(3).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 362*k**3*l**3 - 4*k**3*l*m + 31*k**2*l**3*m + k**2*l**2*m + 2*k**2*l*m - 2*k*l*m wrt k?\nAnswer: 2172*l**3 - 24*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/6))**36)**(17\/5)\/((q\/q**(1\/6)*q**(-2\/17))\/((q\/((q\/q**(-1\/3)*q)\/q))\/q*q\/(q**5\/q*q))) assuming q is positive.\nAnswer: q**(-13489\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 17*f - 32. Give d(-18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5762718615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4117886.\nAnswer: 2, 167, 12329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpk when three letters picked without replacement from kpakpkppekapepekak?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m - 24*m - 18 = 0. What is the derivative of -56*c**3 - 86 + 219*c**m + 113*c**3 - 59*c**3 wrt c?\nAnswer: -6*c**2 + 438*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5167 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/60 - 38*z**2 + 1. Let o(p) = -3*p**2. What is o(n(a))?\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + -15124?\nAnswer: -15142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 243 = -z, -3*w - 63 - 451 = 2*z. Let j = -142 - z. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -102 (b) -5 (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -201 - 2587c?\nAnswer: -25a7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29570*t - 3 + 14766*t + 3 + 7*t**2 + 14804*t.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) -4 (c) -3605 (d) -0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.31 + -0.01. Let q = -6.8 - -7. Let v = 0 + -0.1. What is the closest to q in h, -4, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 - (0 + -3 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 - 10*w**3 + 13*w**2 + 60*w + 36.\nAnswer: (w - 6)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 264, 1067, 2408, 4287, 6704, 9659?\n\"Answer: 269*k**2 - 4*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4435\/8 + -40511\/72. Find the common denominator of r and 51\/16 + 2 + 0.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -12641?\nAnswer: 12640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1.35, -2\/15, -0.609, 1\/9 in decreasing order.\nAnswer: 1\/9, -2\/15, -0.609, -1.35, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 7*n**2 - 16*n - 23. Let y be f(9). Let u = -1266 + 1265.5. Which is the second smallest value? (a) u (b) y (c) -2.76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4243\/168 + -199\/8. Factor y*b - 2\/7 - 2\/21*b**2.\nAnswer: -2*(b - 3)*(b - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10862628 divided by 6\nAnswer: -1810438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 3:44 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 = -8. Let q(c) = -c**3 - 4*c**2 + 1. What is the remainder when q(a) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05 and -5038227127.\nAnswer: -5038227126.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(152)*2*2 - (sqrt(152) + 4*2*sqrt(152)))\/(sqrt(88)\/(sqrt(11)*2 + sqrt(11))*5).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/40 and -57\/524?\nAnswer: 5240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - m. Let c be b(3). Let h be c*(8\/6 - 1). Suppose -2*k + 3*k = -h*v + 92, 92 = 2*v + 4*k. Does 19 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010001001 - -100000011?\nAnswer: -1001110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 1:25 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2839 and 182869.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 84797*w**2 + 12*w - 20. Let m be k(14). Let c = m + -10420360. What is c rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12204, -24751, -37698, -51051, -64816, -78999?\nAnswer: -93606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 10. Solve 0 = -c*x + 3*x - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 50 = 2120*b - 2124*b, -b + a = -12. Solve 2*f + 5 = -3*t, 0 = 2*f + 3*f + 3*t - b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*q - 15*q**3 + 33*q + 13*q**3 - 92*q**3 + 24*q in the form s*q + g*q**2 + i + n*q**3 and give n.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5319, 5320, 5321, 5322?\n\"Answer: i + 5318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2301 (base 4) to base 5\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7886 or 7883?\nAnswer: 7886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -5 - 7) + -69 + -3 - (56 - 45).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n = -11 + 119 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4748*r**3 + 4989731 - 4989731)*(-1 + 6 - 3).\nAnswer: -9496*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -57, -276, -625, -1092, -1665, -2332?\n\"Answer: 2*v**3 - 77*v**2 - 2*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11 and 36876068955.62.\nAnswer: 36876068966.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -661\/160 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 61 - 14)*(4 - 1 - 1)*(-3 + 0 - 2)*(3 - 3 - 2)*(-8*w**2 - 2*w**2 - w**2).\nAnswer: -6820*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -37*v**2 + 10*v - 7. Let c be 159 + -153 + 4*-2*1. Let y(n) = -12*n**2 + 3*n - 2. What is c*b(p) + 7*y(p)?\nAnswer: -10*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1000599130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, m: 6, y: 5}. What is prob of picking 3 y?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 475165967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 less than 954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -186*j + 2. Is 70 a factor of t(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*h - 5*b, -3*b = 4*h - 8 - 2. Suppose -2*p - p + 87 = -3*w, 5*w - 134 = -h*p. Solve -5*r + 4*u = p, 0*u + 5*u - 26 = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*k - 11. Suppose -51 = -k*w - 7. What is the remainder when 54 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3006553699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*i - 5, 2*i + 0*q + 8 = 4*q. Suppose 0 = -i*s + 3*s - 4. Solve -a = -2*n - s, 2*a + 5*n + 28 = -0*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -30. Let c(w) = w**2 - 10*w + 32. Let j be c(l). Let n be 2 + j + 4 + -4. Solve 7*r = n*r - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w - 5 + 5. Let o(l) = 6*l**2 - 11*l + 11. Let q(x) = 0*x**2 - 2*x**2 - 4*x + 4*x**2 + 4. Let y(i) = -4*o(i) + 11*q(i). Give t(y(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 131983\nAnswer: -3\/131983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 169744 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: Suppose 0 = -5*b + 5*h - 40, 3*b + 2*b + 30 = 3*h. Let i(t) = -t**3 - t**2 + 3*t + 3. Determine i(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*l + l. Suppose -5*k - l + 27 = 0. Let c be 6\/(-27)*(k + 1). What is the third biggest value in 0.2, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197927573?\nAnswer: 197927573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106.1 + 17.9. Let b = r - 123.9999902. What is b rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.106979744 to 4 dps.\nAnswer: -0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n**2 + 22*n - 32. Let r be o(8). What is the greatest common divisor of r and 410?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-3152)\/880 + (2\/5 - 0))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-168)\/(-9) - (-2)\/12*2. Suppose 15*b = r*b - 20. Suppose -b*z + 100 = 15. Is z at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-8)*6\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 21, 13 in descending order.\nAnswer: 21, 13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 7*n**2 + 9*n + 7. Let k be o(8). Let z be (-6)\/8 - 55\/(-20). Suppose k = 3*g - z*g. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 697489409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49590039 is divided by 122.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23\/3060 + -3\/85. Does 0 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9504)\/(-1760)*2\/54)\/(1*4\/(-1420))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 19 = -l, l - 31 = -954*n + 959*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 + 7516*p - 1163058\/5.\nAnswer: -2*(p - 18759)*(p - 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 43*f**2 - 2*f + 1. Suppose 28*w = 21*w + 7. Is 22 a factor of p(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -29, -32, -7.\nAnswer: -32, -29, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 6, -t - 3*t = 2*i - 74. Let o = -100 + 104. Solve 0*f + o*f = -t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00244 to four dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w = -708 - 348. Let d(n) = 9*n + 93. Let s be d(w). What is the greatest common factor of 65 and s?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222000 + -1?\nAnswer: -1222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61\/(-122)*43*(-4)\/(-2)*1*-1.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7506*g**2 + 2*g + 1. Let y(d) = 2*d. Calculate n(y(b)).\nAnswer: -30024*b**2 + 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 783*n**3 + 2519?\nAnswer: 2349*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*v + 9. What is the greatest common divisor of v and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (148\/(-30))\/(386\/(-5790)). Solve 3*v - 15 = 0, -3*w - a + 79 = v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -777*o**3*p**3 + 2525*o**3*p**2 + o*p**2 - 87*p**5 wrt p?\nAnswer: -4662*o**3 - 5220*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1167220293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 + 0.05. Which is the second biggest value? (a) x (b) 3 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b + b)*(-24 - 8*b + 66 + 2)*(5 + 0 - 2).\nAnswer: -48*b**2 + 264*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - (-3 + sqrt(1008)))**2*6 - sqrt(1008).\nAnswer: -12*sqrt(7) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -232 - -239. Solve 2*x + 19 = -3*p, 3*p - 12 = q*p - 4*x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375964276 is divided by 6451?\nAnswer: 6447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37544 is divided by 671?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 590806?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w - 6 + 5 + 0*w - 15. Let a be u(-6). Suppose 5*g + 4*q - 70 = 0, 2*q - 56 + 12 = -3*g. What is the highest common divisor of g and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 + 1 + 150 + -69.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*x + 42768 = -118*x + 506*x for x.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 8:57 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-45)\/4 + 55\/44)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 276.0999996638 - 276.1. Round q to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/30 - 1\/10. What is the biggest value in -2\/35, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3. Let j = -26 + 8. Let p(d) = -15*d**3. Give j*l(w) + p(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 12:26 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -4 - (0 + 2). Let w be (-1)\/g + (-104)\/(-12). Suppose 6*o - w = 3*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f + 9*f - 9*f**2 + 54*f**2. What is the tens digit of a(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 2) + 4 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*n. Let g be (2 + n - 3) + 5. Let t(o) = 5*o**2 - 113*o + 110. Let s be t(1). Solve g*p + 8 = -s*i, 0*i - i - 8 = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21297.19 weeks in minutes?\nAnswer: 214675675.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1248\/(-2016) - 2\/(-6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 10*y - 15. Is g(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/7 (b) -0.3 (c) 5\/4 (d) 80\/27 (e) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 20 (c) -0.4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a6670 (base 12) in base 8?\nAnswer: -1621064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -421 divided by -30512\nAnswer: 421\/30512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 + 11*c**2 - 3*c - 8. Let w be d(5). Solve 12 = -2*x - w*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 17*a**2 + 16*a - 6. Let n be q(-16). Let m(x) = -x**3 - 6*x**2 + 8. Let j be m(n). Sort j, -0.1, 2 in descending order.\nAnswer: j, 2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**2\/2 + 2. Let d(c) = -c + 2. What is d(v(q))?\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/3)*l**(1\/3))\/(l\/(((((l\/l**(-2\/7)*l)\/l)\/l*l)\/l)\/l)*(l*l\/(l*(l*l*l**4)\/l))\/l))\/(l*l\/(l**(-9)*l)*l\/(l\/l**6))**6 assuming l is positive.\nAnswer: l**(-649\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-495)\/(-2880)*-32*(-112)\/(-44)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by -88.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8634 - -13206. Which is smaller: q or 4571?\nAnswer: 4571","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 259938654 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -2. Let m = 0 - -0.1. Let b = -1.1 + m. Sort b, 0.5, p.\nAnswer: p, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 8. What is p(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 13*t**2 + 7*t + 88. Give f(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -786*m - 350569. Calculate r(-446).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600718 divided by -2.\nAnswer: -300359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -5*l + 35 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g**4 - 1 + 2*g**3 - 7*g**4 + 2*g**2 + 2 - 3 in the form k + s*g + r*g**3 + v*g**2 + m*g**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -9 (b) 0 (c) 675\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2913.981 to 1 dp.\nAnswer: 2914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - -4)*(-4)\/(-14). Suppose -32 = -2*n - 0*n. Let g be 22\/11 - 38\/n. Which is the second biggest value? (a) g (b) -2\/9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14552 - 10642 = -26*d. What are the prime factors of d?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + 2*(sqrt(405) - sqrt(405)*2)**2 - 5*(-1 + sqrt(405))*-5)*-2.\nAnswer: -1571 - 450*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15941 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 405 and 416 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -687108102 + 430738102. What is q rounded to the nearest one million?\nAnswer: -256000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 3:39 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-5*w + 3*w + 0*w)*(8*w**3 + 0*w**3 - 4*w**3).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 886 and 1903364562.\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -913 - -1102. What is the highest common factor of 63 and n?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwuuwuwuuwuww. Give prob of picking 2 w and 2 u.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((1*sqrt(1008) + 2)**2 - sqrt(1008)) + (4 + sqrt(1008)*-1 - sqrt(1008)))*-2*5.\nAnswer: -20320 - 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -6757\nAnswer: 6757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, -24, -64, -120, -192, -280?\n\"Answer: -8*w**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + k = -21, -k - 10 = -4*q + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 21*j - 79. Calculate the remainder when 32 is divided by r(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, e: 3, s: 9, t: 5}. What is prob of sequence ees?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 9:16 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from oxaoooooooaoooooa?\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjokosymm. What is prob of picking 1 k and 2 s?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1924, 7693, 17308, 30769, 48076?\n\"Answer: 1923*a**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - u)*(5*u**2 - 2*u**2 + 0*u**2)*(-2*u + 2*u - 2*u) + u**4 - 1 + 1.\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 6)\/(0 - -1). Let y be (3\/15 + 0)\/(4\/(-10)). Which is the closest to y? (a) -2\/21 (b) l (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddwv when four letters picked without replacement from tvdtsdwvu.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*1)**2 + -2 + (0 + sqrt(3) - sqrt(3)) + sqrt(300) + -1 + 4.\nAnswer: 10*sqrt(3) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, 5, -162 in increasing order.\nAnswer: -162, -51, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 243*b**3 + b**2 - 56*b - 10. Let y(i) = 1216*i**3 + 5*i**2 - 278*i - 55. Let q(p) = -11*x(p) + 2*y(p). What is the second derivative of q(t) wrt t?\nAnswer: -1446*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4270 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 197, 398, 599, 800, 1001, 1202?\n\"Answer: 201*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26 - 2 - 78980*u**2 + 2101*u**3 + 78996*u**2 wrt u.\nAnswer: 12606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-12) - (-1)\/6. Let w = 25 + b. Calculate the greatest common factor of w and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 64. Determine c(20).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6*z + 3*q - 373 = 0, -z + 82 = -3*q. What is the remainder when 908 is divided by z?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 375*c + 3820. Determine k(-10).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of (-1741684)\/(-68) + 54\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*y**3 + 86*y**2 + 736*y + 280.\nAnswer: -2*(y - 14)*(y + 5)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0689664 to 3 dps.\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -9 - 2*t + 6 + 1 + 4. Calculate s(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 34 = 5*x, -3*x + 10*o + 74 = 3*o - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49297\/248585 + 84\/49717. Find y, given that 6 + q*y**2 + 31\/5*y = 0.\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 16*l**2 + 19*l + 25. Let c be w(-17). Calculate the common denominator of 109\/30 and (12\/(-4))\/c - (-163)\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 6*s**2 + 6*s + 8. Let h be b(7). Let z(f) = f**3 - f**2 + 1. Let n(v) = 3*v**3 - v**2 + 1. Let d(q) = -3*n(q) + 2*z(q). Determine d(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222760*n = -6*u - 222764*n + 20, -u = -76*n - 80 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 + g**2 - 8*g - 1 + 20*g - 10*g to x + w*g + t*g**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -321641699, -643283400, -964925101, -1286566802?\nAnswer: -1608208503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(7) + sqrt(7)*-1 + 4)*3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from {n: 4, t: 1, u: 2, f: 8, o: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-45)*12)\/((-39)\/390).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 > 355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 4*l**2 + 3*l. Let o = -6 + 4. Let j be z(o). Which is the third biggest value? (a) -2\/3 (b) -21 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -180 - -258. Suppose -26*t - l = -28*t. List the prime factors of t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-1)*2\/(-4). Suppose -s = m*f - 4 - 17, -3*s + 5*f = -8. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2267014*i**4 - 3805868*i**2 wrt i.\nAnswer: 54408336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*x - 15 = -60*x, j = -x + 202664. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*x - 7, -3*d + 2 = -2*x - 3. Let m(a) = -a - 1. Let r be m(0). Sort d, -5, r.\nAnswer: -5, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 9*m - 17. Let b = -9587 + 9580. Determine w(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1207 - 22*q + q**2 + 411 - q**2 - 637 - 22*q**4 wrt q?\nAnswer: -88*q**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304454 (base 6) to base 12.\nAnswer: -1212a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*a - 131347 + 707 = 177500. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*a**2 - 325*a + 34*a**2 + 649*a + 41*a**2 - 324*a.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 2*j - 3*j + 7*j - 5*j + 7*j + 5*j - 2*j - j + (-1 - 2 + 2)*(-5 + 5 - 2*j) - 5*j + 2*j + 4*j)*(5*j - j - 2*j).\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9678 + -1322. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 0 + (0 - 2 + 1)*(4 - 2 + 0))*(1677 - 3699 + 1302)*(2*a - a - 3*a) as u + l*a and give l.\nAnswer: -7200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*-2*sqrt(192)*-6)**2.\nAnswer: -5971968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 6. Let x be i(-6). Suppose -2*r + 243 - 83 = u, x = 3*u - 5*r - 425. Suppose b - u = -4*b. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/1442 and 61\/14.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10*c + 5. Let p(v) = -4*v + 2. Let i(d) = 3*g(d) - 7*p(d). Let j be i(-1). Put -6, -3, 2, j in ascending order.\nAnswer: -6, -3, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 2. Let v = h + -19. Put -1\/4, -4, v in decreasing order.\nAnswer: v, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18613 - -40603. List the prime factors of f.\nAnswer: 2, 3, 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 17 - 23*s.\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*r - 15, -2*y + 10 = y - 2*r. Solve -z + 3 = 0, -5*n - z - 3 = y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351366.2*0.36.\nAnswer: 126491.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 10:43 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - d**2 - 2*d + 2. Let f(h) = 9*h**3 - 2*h**2 + 15*h + 3. Let p(u) = f(u) + 5*m(u). What is the tens digit of p(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51481 - 51480.99976573. What is a rounded to six dps?\nAnswer: 0.000234","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - -1002112?\nAnswer: 1002124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 997390601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.22 + 34.78. Let t = b + -35.15. Let a = -0.35 - t. Which is smaller: a or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/246 and -26\/147?\nAnswer: 12054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/363273 and 137\/150?\nAnswer: 18163650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 d, and 1 j when four letters picked without replacement from yppjjnyjjyjpd?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8 and 0.0166.\nAnswer: -0.02988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00167031 to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 7*j**2 + 18*j - 12. Let d be u(-9). Let t be ((-18)\/d)\/(6\/28). Which is bigger: 5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -155.7 and -0.2.\nAnswer: 31.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 375722627 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 225780*a*s*v**3 - 2*a*s - 4*s*v**2 + 2*s*v + 4*s - 766*v wrt v.\nAnswer: 1354680*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3164 + -3125. Solve -x + 44 = -5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50 + (-880)\/15)*(-3)\/2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 8) + (5 - 1) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z + 1. Let g(i) = -7*i - 3. Let f(d) = -2*g(d) - 9*o(d). Let s(n) = -7*n - 5. Let a(q) = 10*f(q) - 6*s(q). Let k(l) = 3*l. Calculate a(k(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*h**2 + 12*h**2 + 18*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13\/6 + -191\/90. What is the common denominator of (-8)\/(-28) + (-61)\/385 and h?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3095050 rounded to the nearest one hundred thousand?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*s = -5*d + 47*s + 33, 0 = -2*d + 2*d + 28*s + 196 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**4 - 2*h**3 - h + 1. Let x(a) = -1228*a**4 - 2*a**3 - a + 658. Let w(t) = -n(t) + x(t). Find the first derivative of w(z) wrt z.\nAnswer: -4920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f**2 - 45*f + 170. What is r(4)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 28*p**2 + 120*p - 1. What is d(4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 34*j + 330. Give a(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -94795864429.03.\nAnswer: -94795864431.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.3 (b) 4984 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 4)*(5*a + 0*a - a)*(12 + 4 + 1)*(6 - 6 + 3*a).\nAnswer: -816*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 8:16 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**1)\/n)**(-2\/93)*n\/(n\/(n**(2\/13)\/n))*n*n\/n**(-2\/13))\/((n**(2\/3))**(5\/6))**40 assuming n is positive.\nAnswer: n**(-76013\/3627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.78 + 48.22. Let z = -0.0254 + -56.9746. Let r = a + z. What is the closest to r in -4, -0.4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-18)*15*((-19)\/(-4))\/(-19)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0 - 5 = 0. Let h be 1\/(-4) - (-21)\/4. Suppose h*v - 6 - 19 = 0. Put u, 4, v in decreasing order.\nAnswer: v, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-289)\/561*1 - (-79)\/158*(-8)\/6\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 180 - 197. Which is the second biggest value? (a) -2\/5 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 32 - 35 = 0. Let p(i) be the third derivative of i**5\/60 - i**4\/24 + 2*i**3\/3 - i**2. List the prime factors of p(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r. Suppose 4*x + t - 99 + 18 = 0, -3*x + 5*t + 55 = 0. Suppose 0*n + 60 = 5*n. Let l(h) = 2*h**2 - n*h**2 + 7*h**2 - x*h**2. Determine p(l(s)).\nAnswer: -46*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -6*z**4 - 57*z**3 + 36*z**2 + 567*z = 0.\nAnswer: -9, -7\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75401 is divided by 2080.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c\/c**(-1\/8))\/c)*c*c)**(-1\/25)\/(c*c**(-10)*c*c**(2\/15)) assuming c is positive.\nAnswer: c**(187\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -52 - 16) + 1 + (-1 - 1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000101237 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 6. Let z = r - -11. Suppose -99 = -2*j - z*u, -2*u + 177 = 4*j + u. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -477629 = -578*o + 125803. Which is smaller: 8343\/8 or o?\nAnswer: 8343\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 33. Solve 3 = 4*h - f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3450798631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(-3 + (1 + sqrt(3645) - sqrt(3645))))**2 + 0.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h - 5. Let y be z(2). Let o = -25 + y. Let a be o\/(-4)*(-12)\/(-105). What is the nearest to 0 in 4, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 239378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -70839 divided by -7871\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(93576\/(-5013)*(-9)\/8)?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/83220 and 52\/1059.\nAnswer: 29376660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 17*w + 2*g = -94, w - 2*g = 30. Sort -2, -3, w in ascending order.\nAnswer: -3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1805503.\nAnswer: 7, 36847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7600 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -100 - -3?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/4 (b) 2\/15 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3513943, 3513947, 3513951?\nAnswer: 3513955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 39*g + 47. Let j be l(-20). Let d(q) = 58 - 32 + 3*q - j. Calculate d(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/6*(-4221)\/(-737).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 + 119. Suppose 0*q - 4*q + v = 4*a, 2*a - 29 = -5*q. Suppose 0 = a*p - 4*h + 30396, 0 = -p - 2*p + 2*h - 45598. Round p to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-4))\/((-6)\/40). Calculate the remainder when (-124)\/(-12) - (-2)\/3 is divided by (-58)\/p + 4\/20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 0)\/(1 + -2). Let r = -53 + 50. Does 14 divide (r - d)\/(3\/(-294) - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 4*n + 3. Let s(h) = 3*h**2 + 6*h + 7. Calculate 3*s(x) - 7*w(x).\nAnswer: -5*x**2 - 10*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*w = -2*q - 14, 0 = -2*q + 5*w - 11. Is q <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 11:07 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = 1615*g - 1640*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 45 = 2*m. Let k(g) = -g**3 + 4*g**2. Let p be k(3). Let w(u) = u - 4. Let y be w(p). What is the greatest common factor of m and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 22, 1, 4 in increasing order.\nAnswer: -3, 1, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4106601281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 1120*m - 1124.\nAnswer: 4*(m - 281)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7766820 is divided by 189432.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -16*i + 1. Let m be f(1). Let c be ((-18)\/m)\/((-2)\/(-15)). Let g be 6\/c*33\/2. What is the greatest common divisor of g and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/34 and 3\/180844.\nAnswer: 3074348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 483994324 to the nearest integer?\nAnswer: 22000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 0 + 1\/6*t**4 - 1\/3*t**3 - 2*t**2 + 0*t. What is the derivative of w(v) wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-1 + -6 - (10 + -7)) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a century in decades?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 231 - 150. Let v = -64 + y. What is the remainder when 45 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yysqxuyqyqydd. Give prob of picking 2 q and 1 y.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 0 + 7. Let c = h - -12. Calculate the remainder when c is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*a - 713 + 1889, 0 = -2*a + 8. Calculate the greatest common factor of 27 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 422 divide 881384558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d - 5*d + 2*d**2 + (-2 - 7 - 4)*(2*d**2 + d**2 - 2*d**2).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61144 and 76430.\nAnswer: 305720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, i: 6, n: 2}. Give prob of picking 1 b and 2 n.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.33 + -5.83. What is the second smallest value in -20, p, -1\/29, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ca4 (base 15) to base 4.\nAnswer: 230212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2849603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6857.339l?\nAnswer: 6857339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-4 + (0 + -2 - -12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 - 6)*(-6*s**3 + 0*s**3 + 4*s**3)*(-96 - 12*s + 53 + 45) to the form r*s**3 + z*s**4 + h*s**2 + y + p*s and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a - 17. Let q be k(5). Suppose 0 = -2*g + x - 9, 0 = -g - x + 9 - 6. Sort g, -47, q.\nAnswer: -47, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -104, 11, 5.\nAnswer: -104, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 896\/(-6)*6\/(-4). Suppose 3*q - 88 + 79 = 0. Does 3 divide d\/20 - q\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*i + 3*i. Suppose 2*u - 45 = -i*f - 0*f, -25 = -5*f. Suppose 4*d = -5*h + 99, 3*d - u - 41 = 4*h. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 71504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -25493176?\nAnswer: -229438584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*w = 430*w - 42 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5170, 3, 124, -55 in decreasing order.\nAnswer: 5170, 124, 3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*n - 3*c = 46*n - 10, 4*n - 5*c = -14. Which is smaller: -61\/34 or n?\nAnswer: -61\/34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 times -1.47?\nAnswer: -0.1764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -26*j + 1349. Let y be c(14). What is the highest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5\/2 - 29*j**4\/6 + 5*j**3\/3.\nAnswer: -j**3*(j + 10)*(3*j - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -101001 (base 2) to base 6\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/12 (b) -1902.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46984674, 46984683, 46984692, 46984701, 46984710?\nAnswer: 46984719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.186 - 1.186. What is the third smallest value in 3, u, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*d**2 - 2*d**3 - 41*d - 3 + 6*d**2 + 24*d + 18*d - 12*d**2 in the form l*d + u*d**3 + b + m*d**2 and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/24*-10*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 85?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5145 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 + 3*p**3 - 5*p**3 + 27*p**3 + 1452*p**2 - 1452*p**2 - 4*p**3 - p**3 + 4*p**3 + (3 - 3 + 2*p)*(-2*p**2 + p**2 - p**2) + p**3 + 0*p + 0*p.\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13549355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 949391180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(96) + sqrt(96)*2)\/sqrt(12))\/(3*sqrt(16)) + (2 + (sqrt(162) + 3*sqrt(162) + sqrt(162) - sqrt(162)))*6)**2.\nAnswer: 5196*sqrt(2) + 187777\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uttmtuuu. What is prob of picking 1 u and 1 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 minus 600?\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 1605*g**2 - 8006*g - 9600.\nAnswer: -(g + 2)*(g + 3)*(g + 1600)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 234*c - 1404. Suppose 0 = -3*z + 2*z + 2. Calculate the least common multiple of z and o(-123).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*v - k, -v - 2*v = 4*k - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2. Let q(i) = 70*i**2 - 3. Determine q(u(o)).\nAnswer: 70*o**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/3 (b) 0.7 (c) 71 (d) -2.4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11628 (base 12) in base 3?\nAnswer: -1012001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 9:17 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1868 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + r - 7 = 0, -12*y + 30 = -16*y + 5*r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 53, 79, 115, 167, 241, 343?\n\"Answer: h**3 - h**2 + 22*h + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 465450.\nAnswer: 1861800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1242740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - 1. Let j = n - -5. Is j at least -14\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/84 - 7\/(-6). Let r = -2.1115 - -0.1115. What is the nearest to r in -1, 5, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 17 - 6 - 3*o + 11. What is the remainder when 2 is divided by y(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 15091, -17\/5 in increasing order.\nAnswer: -17\/5, 7, 15091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18703*j**3 + 870*j**2 - 1739*j**2 + 869*j**2 + 18705*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1373704405.\nAnswer: 5, 274740881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 14*y + 8. Let k be m(-6). Let z = -51 - k. Suppose d - z = -4*d. Calculate the greatest common divisor of 45 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*w - 3064 = 3*w, -3*u - 3*w + 2307 = 0. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4946535304.\nAnswer: 2, 47, 13155679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 2)*(-24 + 16 + 26)*(4*s + 0*s - 2*s)*(6 - 8 - 13)*(-30 - 2*s + 30 - 33) to the form y + k*s**2 + f*s and give f.\nAnswer: -17820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1881899.7032 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13294811821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 3.4?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 4:01 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1224*h**3 + 1938818*h**2 - 1938818*h**2.\nAnswer: -1224*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -361 or 5\/53122?\nAnswer: -361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-73444)\/9394)\/((-2)\/11)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1814*u**2 + 2*u + 12. Let d(t) = 5444*t**2 + 6*t + 38. Calculate -6*d(i) + 19*l(i).\nAnswer: 1802*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 2*o + 2*o)*(4*o**3 - o**3 - 5*o**3)*(1 - 4 + 4)*(-5 + 2 - 3).\nAnswer: -12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*h + 4*h - 62*h**2 - h - 11*h wrt h?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 6*y**2 + 5*y - 299. Let n(u) = 4*u**3 - 23*u**2 + 19*u - 1197. Determine -19*k(f) + 5*n(f).\nAnswer: f**3 - f**2 - 304","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -16*p**2 + 20958*p - 125167. Determine s(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -7074\/11413 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*j - 3. Let h be (65\/15)\/(j\/3). What is the greatest common factor of 65 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -0.107, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2. Let v(t) be the third derivative of -98*t**5\/15 + 239*t**2. Determine v(w(p)).\nAnswer: -1568*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((12 - 20) + (-18 - 1)) - (-61 + 73)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2 - 56624*v - 400784672 = 0.\nAnswer: -14156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-108)\/30*62\/(-837). Factor -x*r - 2\/5 + 2\/3*r**2.\nAnswer: 2*(r - 1)*(5*r + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/9 and 32\/315.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 smaller than 748\/178975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/19308 and -67\/24.\nAnswer: 38616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 4:24 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1018 = 2*y + y - 2*q, q = 2. Let v be 10\/(-4) + 2 - y\/52. Solve -2*b = 2*l + 6, v = -2*b + 5*l + 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83867*b**3 - b**2 + 0*b**2 + b**2 - 83854*b**3 + 167714*b**3.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*1 + 4819 + 32. Suppose 0 = p - 9*p + i. List the prime factors of p.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53844 is divided by 17829.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 15, -8*y - 220 + 203 = 5*z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12420131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -30561 from -4.\nAnswer: 30557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421614.\nAnswer: 2, 3, 59, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*q + 774 = 152*q - 85*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 309*u**2*x - 4*u**2 + 49 with respect to x.\nAnswer: 309*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (276\/9)\/((-100)\/(-16950))?\nAnswer: 2, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 686\/(-30) + (1250 - 1227).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 6811. Let u(q) = -8*q - 1. Determine u(y(x)).\nAnswer: 8*x + 54487","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29596 is divided by 25061?\nAnswer: 4535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 13. Let u(q) = 2*q. Determine u(p(m)).\nAnswer: -4*m + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.035 (b) 1\/5 (c) -0.21 (d) 1\/87 (e) 3 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 252, 1288, 3042, 5532, 8776, 12792?\n\"Answer: 3*h**3 + 341*h**2 - 8*h - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 953 less than 6134681?\nAnswer: 6133728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*g**3*j**2 - 2*g**3 - 99*g**2*j**2 + 53*g wrt j.\nAnswer: -8*g**3*j - 198*g**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - 2*k**2 - 5*k - 2*k**3 - 2*k**2 - 3. Is u(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {y: 2, m: 2, g: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45505 = -144*n + 139*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -175, -441, -837, -1369?\nAnswer: -2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5341 + 15323. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*f = z - 108, 25 = 5*f. Let b(n) = -3 + 105*n + 65*n - z*n. Is b(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -1 + (-85)\/9. Which is greater: -9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83028652 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -127*q + 122*q - n, 4 - 13 = -q + n for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 60. Suppose -d + 6 = -u. Let j = d - 13. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*m - 344, 5*m - 4*g = -47 + 456. Solve 50 = 7*n + m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1528 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 7. Let n be 38\/8 - 12\/16. Suppose -n*w = -2*w. Are w and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 105*g**2 - 9*g - 85. What is the tens digit of k(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 7:42 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 5.08 (b) 0.2 (c) -9 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(75) + 1 + 3 + sqrt(12)\/sqrt(4)))**2 + ((-1 + (sqrt(30)\/sqrt(2))\/sqrt(5))*-1)**2.\nAnswer: 46*sqrt(3) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 9*r**5\/20 - 2*r**3\/3 + 4*r**2 - r - 1. What is the second derivative of k(s) wrt s?\nAnswer: 54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 207\/2535443 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-10))\/(1\/5). Let s = 7 - h. Let w be (-10)\/(-3)*((-272)\/40 - -8). Solve g - 13 = -2*r, r + w = s*g - 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27287.\nAnswer: 13, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14261 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 11:09 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppjjpppjj. Give prob of sequence jpjj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 98 = -5*x - 30, 100*s - 105*s - 5*x - 125 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o = 818 + 521 - 331 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 64049718 and -1.1509.\nAnswer: 64049716.8491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1 + 1 - 3 + 0 + (-4 + 0 + 2)*(2 + 0 - 1) + 4 - 6 + 3 - 3 - 2 + 4 - 5 + 3 - 2)*(v - 3*v + 0*v) - v - 2 + 2.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -887 + 161. Let w = x + 714.36. Let f = w + 14.4. Round f to one dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s - 10*s - 1 + 6*s. Let v be o(5). Differentiate 7*l**4 + 0*l**v - 4*l**4 - 1 - 3 wrt l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001397 rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 59 = -5*h - 517, 4*p + 578 = -5*h. Let s = -100 - h. Calculate the remainder when 41 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 7 = 7. Calculate the remainder when 38 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2 + 6. Differentiate q - 2*h + 3 + h - 6 with respect to h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 99417890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 218*o**3 + 374814*o**2 = 0. Calculate o.\nAnswer: -187407\/109, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -0.5, -15, -0.20062, 3 in ascending order.\nAnswer: -15, -0.5, -0.20062, -0.06, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 151468\/7 + -21632. What is the common denominator of -6*(-51)\/(-60)*-2 and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l. Let t(o) = -71183724*o. Give j(t(q)).\nAnswer: -142367448*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 0*m**2 + m**2)*(-2*m - 1 + 1 + (-2 - 1 + 4)*(-4*m + 6*m - 3*m) + 3 - 2*m - 3).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 45?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**2 + 18. Let v(g) be the second derivative of g**4\/12 + g - 80. Calculate v(t(x)).\nAnswer: 36*x**4 - 216*x**2 + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25579 or -25577?\nAnswer: -25577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 3. Let n be d(-7). Suppose n*h = 2*h. Solve 0 = -h*t + t + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r - 3339 = 17*r. Calculate the remainder when r is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from {y: 1, q: 1, o: 1, r: 2, c: 2, j: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 + 2.6. Let l be 6\/8 + (-1)\/2. What is the nearest to l in s, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(2\/19)*b))\/(b**6\/b)*b*((((b**7*b)\/b)\/b*b)\/b)\/b*b*b\/(b*b*b**(3\/8)) assuming b is positive.\nAnswer: b**(79\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (6 + -7)\/(14075\/(-2345) - -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25163446.4000031 - -25163450. Let z = -26 - -29.6. Let i = z - s. What is i rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*p - 4, -5*c + 8 + 2 = -4*p. Suppose -3*g - 3*o + 60 = -0*g, c*g = 4*o + 34. Solve -1 - g = -5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/13)*(n**(-7)*n)\/n assuming n is positive.\nAnswer: n**(-94\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 + 68*j + 44. What is n(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.41896 times -0.263?\nAnswer: 1.16218648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-y - 2*y + y)*(-y + y - y) - 359*y**2 + 280*y + 352*y**2 - 100*y)*(1 - 1 - y).\nAnswer: 5*y**3 - 180*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**2 - 264*p + 3269. Give n(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 13. Suppose -2*r + 7 = -3. Suppose 5*x - 2*x = -r*u + 28, -2*u + 8 = -2*x. Solve i = -4*j - x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) + 126\/(-4). What is the remainder when n\/(-5)*(-30)\/(-4) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/5 (b) 0.12 (c) 7 (d) 5\/4 (e) -2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -23, -0.1, 13, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 3*k + k)*(-74*k - 10*k - 19*k)*(2*k + k - 2*k).\nAnswer: -103*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -532 - -535. Calculate the least common multiple of n and 1728.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from {f: 1, s: 3, d: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28636501 is divided by 76?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 7*d**2 + 4*d - 7. Let j be (-2 + (-3)\/(-3))*6. What are the prime factors of f(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79521543?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3827406 divided by 11.\nAnswer: -347946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 76006, 152014, 228022, 304030, 380038?\n\"Answer: 76008*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57380*h**4*p**2 - 4*h*p**2 + 2297*p**2 wrt h.\nAnswer: -688560*h**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1744?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 219, 218, 217, 216, 215, 214?\n\"Answer: -f + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10940*a + 27360*a = -19834*a - 2066478 for a.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -219 (base 14) to base 16.\nAnswer: -19f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8636.494 to the nearest ten.\nAnswer: -8640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2256 is divided by 42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 129937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 j, 1 r, and 1 h when four letters picked without replacement from jqrzqihhr.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*t**2\/11 + 1926*t\/11 + 51900\/11 = 0. Calculate t.\nAnswer: -25, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25348870 divided by 5.\nAnswer: 5069774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5232*o + 779568. Give b(-149).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 10) to base 4.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2894 + -2894.02774. Round s to three dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z - 24*z = -97 - 5 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.045508 and -0.2.\nAnswer: 0.0091016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**3\/3 + i**2\/2 - 8*i - 2. Let u be b(-4). Let y be (4 + 6)*9\/6. Solve 0 = -7*v + u*v - y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7\/3)*(u\/(u*u*u**10))\/u*u\/u**(2\/13)*u**(-15) assuming u is positive.\nAnswer: u**(-1111\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*z - 5091 + 9343 - 5374 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3\/(-12)*(-6)\/5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 10:47 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (-27)\/(-3) + -11. Suppose 3*q = -2*n + q + 2440, 2460 = j*n - 2*q. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36*(-55)\/(-33))\/(((-2)\/(-5))\/(20\/(-50)))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 8. Suppose -z*m + 7*m - 80 = 0. Suppose 4*f - m = -4*f. Solve 4*p - f = 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4555001 and 3668.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from {w: 6, b: 1, t: 3, c: 2, r: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 12, s: 7}. Give prob of picking 1 s and 2 y.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -153 and 111824.\nAnswer: -17109072","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2. Let y(p) = -8*p**3 - 2*p**2. Give -2*l(n) - y(n).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*o**4 - o**5 - 63*o**4 + 20*o**4 + (3*o**3 - 2*o**4 - 3*o**3)*(4*o - 6 + 6).\nAnswer: -9*o**5 - 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1061707, 2123843, 3185979?\nAnswer: 4248115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*c**2*n**3*o*y**2 + 6*c**2*n*o*y - 5*c**2*n*y**2 - 2*c**2 - 7*c*n**3*y**2 with respect to o.\nAnswer: 27*c**2*n**3*y**2 + 6*c**2*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {e: 1, x: 1, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4816.7 - 4817. What is the closest to 0 in -2\/3, -917, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 12 = -5*d - 5, -4*d = q - 2. Solve 2*x + 4*h - q = 0, 4*x + h = -h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in -3, 4\/3, -0.3, 12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54? (a) -47944 (b) 1\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 130*t**4 - 7*t**2 + 88. Let b(h) = -65*h**4 + 4*h**2 - 44. Let n be -1 + -5 + 12 + -13. Let d(r) = n*b(r) - 4*o(r). Differentiate d(c) wrt c.\nAnswer: -260*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 294618 in increasing order.\nAnswer: -2, 0, 294618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53705683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1512706 or 1512702?\nAnswer: 1512702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8979*-13.\nAnswer: 116727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -92*p + 44*p + 51*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -109*g - 125 + 561. Solve -4*t + g*y = 0, -2*y + 6 = 2*t - 7*y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by (-2 + 4)*(4 - 25\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*d**3 + 106*d**3 + 120*d**3 + 2*d - 2*d.\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/19)*s**(1\/4)\/s assuming s is positive.\nAnswer: s**(-69\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**3 - 2*t**2 - 2*t - 2. Let y(z) = -7*z**2 - 287 + z + 143 + 137 - 8*z - 9*z**3. Give -7*p(b) + 2*y(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00136124 to 5 decimal places.\nAnswer: 0.00136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6577804\/53 or 124110?\nAnswer: 124110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**5 - 25847*u**4 + u**2 + 27031*u - 1?\nAnswer: -20*u**3 - 310164*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 543*x - 10*x**2 + 6 - 4 + 3 - 542*x + 3*x**4 to g*x**3 + d*x + w + o*x**2 + n*x**4 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11755 - u**3 + 11759 + u**2 - u**2 to the form b*u + l*u**3 + h + c*u**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12171 by 4.\nAnswer: 12171\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**5\/60 + x**4\/12 + 7*x**3\/3 - x**2 + 18*x. Let j be 40\/(-3) - (-1)\/3. Is v(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*n - 18*n - 2*n**2 - 56*n + 41*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 5*l**4\/12 - 18*l. Let c(d) = -2*d + 2*d - d. Determine c(i(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1754, -2866, -3978, -5090, -6202, -7314?\nAnswer: -8426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 5*z - 5. Let n be f(4). Let p be 40\/4 - (17 + -7). Solve 3*w - 9 = -3*r, 5*r - 3*w - n = -p*w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 603761018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2952 + 576 = 0. Calculate the highest common divisor of f and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -2*f**6\/3 - 104*f**5\/5 - 68*f**3\/3 - 2*f + 433. What is the third derivative of o(i) wrt i?\nAnswer: -240*i**2 - 2496*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48.37 + -48. Let z = 0.370252 - m. Round z to five decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/15 and 43\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19\/20 + 6\/5. Let s = 0.11 + 2.59. Let v = s - 3. What is the closest to 1 in v, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -359 at least -359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -6. Let o = -2.7 + k. Sort o, -5, 2 in increasing order.\nAnswer: -5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -713628 divided by 178407\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + (-25 - (21 + -19 + -3))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -1 - (7 - 13). Suppose 0 = 3*i + 1 + 8. Let j be 38\/4 - i\/(-6). Solve j = 4*s - l, 4*s + n = -l - l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1684399 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10471183169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 52*i**2 - 216*i**2 - i + 223*i**2.\nAnswer: 59*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**3 - 2*y**2 - 3*y - 2. Let t be z(-1). Suppose t*x = i - 8 - 16, 0 = -5*i + 5*x + 135. Calculate the remainder when 84 is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, 11, -291 in ascending order.\nAnswer: -291, 11, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllccllllllccllllll. Give prob of sequence cllc.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -112223021321 (base 4) to base 3\nAnswer: -102011222112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 82*y - 55. Let c be a(-3). Calculate the remainder when (-2)\/2 - (c - -2)\/13 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 444, 357, 284, 231, 204, 209?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0)**(-50)\/(i**(2\/9)\/i)**9)**(-10\/11) assuming i is positive.\nAnswer: i**(430\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 57*t + 289. Give h(17).\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 10*m**2 - 15*m - 11. Let i(p) = p**2 + 4*p - 1. Let f(w) = -d(w) - 4*i(w). Determine f(-14).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 23784*r + 23775*r - 3.\nAnswer: -9*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14 - 6*(-96)\/1134.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8070 is divided by 505?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*l - 17 = 0, h - 4*l = 5*h - 4. Let x = 9 - h. Which is the second smallest value? (a) 0 (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-800 - -794) + (20 - 0) + 2\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y - 2*y)*(0*y - 473 - 3*y + 498) + 8*y**2 + 16*y**2 + y**2 + 54*y**2.\nAnswer: 91*y**2 - 100*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 456926?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11571.73 - 11577. Sort 1\/2, -2, n.\nAnswer: n, -2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*((-15)\/(-567))\/((-13)\/(-390)*25).\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 613438 = 114*x - 28*x. Does 95 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 20 = 2*d, -40*d + 2 = -p - 45*d for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20477 times -1?\nAnswer: -20477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.0695012.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -146 - -171. Which is smaller: -0.1 or g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p**3 - p**3 + 16*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 28398, -3, -8, 3, 1, -1\/2 in decreasing order.\nAnswer: 28398, 3, 1, -1\/2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 1856*i + 20535. Calculate v(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -570878.435 to the nearest 10.\nAnswer: -570880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 31512 = 117*n + 290*n for n.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 10*v**2 - 8964*v + 89633. Determine d(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/((-1190)\/882)*-55. What is the highest common factor of 21 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 39\/2012, 0.11, -0.4.\nAnswer: -0.4, -0.3, 39\/2012, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1643 - 843 + 51*l - 800 + 80*l.\nAnswer: 131*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = 3*p + 305. Let v = 27 - 19. Suppose -3*c + 12 = p, 5*a - v - 4 = 2*c. Solve -4*d = a - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t + 819 = 663 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(175)) + sqrt(175) + -1 + sqrt(175) + -1 - ((1*(sqrt(175) + 1) - sqrt(175)) + 3*(1 + sqrt(175))))**2*-6.\nAnswer: -9834 - 1440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3 + 18*o - 9*o + 37*o. What is the remainder when s(1) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 321400093 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 16949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 1. Let z = -2639 + 2638. Let v be -3 - (-2 - -1)*6. Let w(b) = 4*b**2 + v*b + 3*b**2 - 3 - 4*b**2 - 4*b**2. Give z*w(d) - 3*x(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7002 - -6997.9. Which is the closest to v? (a) -3 (b) -2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6128, -6189, -6290, -6431, -6612, -6833, -7094?\nAnswer: -7395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118\/29 + 3641\/232. Find the common denominator of r and 6\/(-16)*5660\/(-4935) + (-19)\/133.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((w\/(((w*w**(2\/9))\/w)\/w)*w)\/w)\/w)\/w)\/w)**42)**(-11)*(w*w**8*w\/w**(-10))**(-3\/10) assuming w is positive.\nAnswer: w**(1676\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*k + 110*k - 4 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10001210210 (base 3) to base 14\nAnswer: 17ddc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 - 75. What is the closest to 0.2 in p, -0.1, 1.415?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319969*o + 319965*o = m + 17, -m + 23 = -4*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h*h**4\/h)*h\/(h**(1\/15)\/h)*(h**(-2\/11))**(-32) assuming h is positive.\nAnswer: h**(619\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28380236*g - 56760469*g + 28380229*g - 78*g**3.\nAnswer: -78*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -854.\nAnswer: -5\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*r + 237 = 0, 0*l + 4*r = 4*l - 1008. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (858\/44)\/((63\/(-6))\/7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.51 - 4.57. Suppose i = 5*i + 4. Is i less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192771 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -1*(sqrt(117) - 2*sqrt(117)) - 3*-1*sqrt(117))*6)\/(1*(3*sqrt(90)*-2)\/sqrt(10)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(76)*1*-1)**2 - (((sqrt(114) + sqrt(114)*-2)*-2 - sqrt(114)) + sqrt(114))\/(sqrt(72)\/(sqrt(48)\/sqrt(4))).\nAnswer: -2*sqrt(19) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**3 + 31*h**2 + 8*h + 4. Let y be v(8). Solve -5*b = 2*t + 2*t - 24, 0 = y*b + 2*t - 18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/5 - (-6)\/30. Let g(p) = -3*p**2 + 3 - 3*p**l - 2*p**3 + 17*p**2. Does 7 divide g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4892 is divided by 1084248\/(-3330)*(1 - 6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = s + 1, -10*s + 12*s - 5*d + 11 = 0. Let b(p) = p**2 - 2*p + 2. Determine b(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9 and 269?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-140 + 311 - 69 + (0 + 4 - 3)*(-3 + 0 + 5) + 5 - 2 - 5)*(-10*v**2 - 4*v**2 + 3*v**2).\nAnswer: -1122*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (96\/14)\/((-2)\/(-28)). Let y = -11 + z. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1418 - 1258 + 2490 + 662)*(-11*g + 48 - 48).\nAnswer: -36432*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -146 + 1020\/7. Which is the third smallest value? (a) -0.1 (b) t (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4 + 54*w**3 - 781*w**2 + 1404*w - 676 = 0. What is w?\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 572, 4526, 15258, 36158, 70616, 122022, 193766, 289238?\n\"Answer: 565*k**3 - k**2 + 2*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -32, -23, -18, -17, -20?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 608691 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25457*n**4 + 20*n**3 + 17*n**2 - 10*n - 952?\nAnswer: -610968*n + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 187 = 3*x, i - 6 + 2 = 0. What are the prime factors of x?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -100012?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 15 = -3*k, 2*c + c - 3*k = 27. What is the smallest common multiple of 10 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/37680 and -101\/32656.\nAnswer: 489840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + -6. Let d(j) = 97 + 2*j - 6*j + 0*j - 93. List the prime factors of d(w).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**2 + 1. Let m be s(1). Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1394 is divided by 666.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -2*u**5\/15 + u**4\/3 + 2*u**3\/3 - 8*u**2\/3 + 8*u\/3 - 25. Find q, given that d(q) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7348, -27, -62, 1\/2 in decreasing order.\nAnswer: 7348, 1\/2, -27, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 172 - 170. Let o(u) = u**3 + 1276*u**d + 0*u + 0*u - 1282*u**2 - 7 + 4*u. Give o(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x - 8652*x**2 + 6*x + 17351*x**2 - 8695*x**2.\nAnswer: 4*x**2 - 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 7:48 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76739 by 3.\nAnswer: -76739\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72308, -289501, -651492, -1158287, -1809892?\nAnswer: -2606313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -20. Suppose -a*n = -6*n. Suppose n = 2*r + 4*u - 1052 + 158, 2213 = 5*r - u. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4998491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 1. Let v(u) = 467*u**2 - u + 2. Determine -2*n(r) - v(r).\nAnswer: -467*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55004108?\nAnswer: 2, 907, 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1652*i - 202455 = -967*i + 1667*i + 1329*i for i.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*t - 499*t - 491*t + 1481*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -576 - 61?\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43448716*p**2*w**2 + 253121*p**2 + 41*p*w wrt w?\nAnswer: 86897432*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 14*d**2 - 14*d - 2. Give h(-15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 286943 a multiple of 893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6777007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53422, 53412, 53402, 53392, 53382?\nAnswer: 53372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 234 + -81c33?\nAnswer: -819ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.31 - 0.31. Let k = 1540 - 1538. Which is the second smallest value? (a) k (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000037 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -12, -3, 11, 86, -2 in increasing order.\nAnswer: -12, -3, -2, 3, 11, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -5.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 7*d - 4. Let n be o(7). Is n bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-140)\/(-420)*(-4)\/((-16)\/30). Let s(r) be the first derivative of b*r**2 - 9 + 3*r. What is s(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 71*m + 148. Let x be q(12). Let h = x - -1927. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 767*v - 307*v - 385*v as o + x*v and give x.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 4*b + 3*b - 1 + 1 - 2*b + (-3 + 2 - 2)*(-3*b + 0*b + 5*b) + (b - 2*b + 0*b)*(-42 - 33 + 61).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**2. Let l(q) = 210 + 2*q**2 + 8*q - 105 - 105 + 8*q. Determine l(g(n)).\nAnswer: 72*n**4 + 96*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 10*j - 91. Let y(v) = 2*v + 3. Give t(o) - 4*y(o).\nAnswer: 2*o - 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -105*b**4 - 361*b**3\/3 - 312. What is the third derivative of o(i) wrt i?\nAnswer: -2520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80694691 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) 0 (b) 67 (c) 0.202 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -109\/3160 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145387 is divided by 310.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10257847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 6. Suppose 8 = 3*u - u. Suppose -37 = -0*a + u*a - 3*n, -4*a = -4*n + 40. Calculate q(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7.366495 tonnes?\nAnswer: 7366495000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00775587 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Suppose -5*q = -o*k - 614, -k + 0*k = -4*q + 493. Suppose 0 = 2*y - q - 44. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 8.92, 2852\/5 in decreasing order.\nAnswer: 2852\/5, 8.92, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 129, 256, 383, 510, 637, 764?\n\"Answer: 127*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6516 = 3*i. Suppose -i - 495 = -3*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -127*(-31 + 9 - -11).\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -15*t. Let c(m) be the third derivative of -83*m**4\/24 - 30*m**2 + 36*m. Determine q(c(f)).\nAnswer: 1245*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 17316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/3 - (-61 - -3 - 0). Let s = 197 - w. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4218 and 407797.\nAnswer: 90530934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 148790*s**2*v**2 - 2*s**2*v - 771*s**2 - v wrt v.\nAnswer: 297580*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, 72, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 7*x**2 - 13*x - 2. Let t be (-54)\/(-4)*32\/24. Let u be (-3)\/t*120\/(-4) + 4. Determine c(u).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*r**3 - 8*r**3 + 10*r**3)*(4 - 5 - 1)*(5*r - 4*r + r) to the form k + a*r**3 + l*r + o*r**4 + m*r**2 and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414187?\nAnswer: 239, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (3\/(-5))\/(1\/(-65)). Let i = a + -43. Let p be (1\/(-7))\/((-1)\/(-3)). Which is greater: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -7*j**6\/120 + 5*j**3\/6 - 2*j**2. Find the first derivative of t(p) wrt p.\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 20189*b**2. Let k(o) = 67*o**2 + 3. Give k(a(s)).\nAnswer: 27308913307*s**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 - 8*i**2 - 8*i**2.\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.252 - 145.748. Let z = 287869119.5 + -287869265.5000063. Let d = z - u. Round d to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 187 + -64. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, p: 4, c: 4, i: 1}. Give prob of sequence pcic.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (-1 + (sqrt(539)*-1)**2 + sqrt(539)) - ((0 + sqrt(539))*4 + sqrt(539))) + 0 + -1 + 1 + sqrt(539) + 5 + sqrt(539).\nAnswer: -533 - 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -7 (b) 609\/2 (c) 14.9 (d) 0.2 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101221000 (base 3) in base 15?\nAnswer: 40a30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (174 - 181 - 62 - 462 - 507)*(z**2 - 2*z**2 + 0*z**2).\nAnswer: 1038*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 991 = -5*k, -2*k - 575 - 395 = -4*p. Is p a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**2 - 7*h - 30 = 0.\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1337 - 485 = 6*d. Suppose -5*i + 5*p + 0*p + 160 = 0, 5*i + 4*p = d. What is the greatest common divisor of 90 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 134808*v**2 + 1353*v + 451. Let c(o) = 1193*o**2 + 12*o + 4. What is 451*c(i) - 4*l(i)?\nAnswer: -1189*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-42)\/5*-1)\/((-2)\/(-25)). Suppose 14*j - 91 = p. Solve -l + j = 3*b, -2*l + 8 + 2 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 2 + 2 - 5*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 - 60. Suppose -h + f - 25 = 99, f = d*h + 620. Let k be (h\/(-56) - 2)*(-4)\/2. Put 0.2, k, 0.3 in decreasing order.\nAnswer: 0.3, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 + 22*z + 6*z**2 - 8*z.\nAnswer: 2*z**2 + 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-480)*-10)\/(-6)*2\/(-13).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -l + 5*u - 0, 2*l + 6 = 5*u. Let p = l + 6. Let m be (0\/1)\/(1 - -1). Solve -p*j - 3 = -m*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 10:18 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**3\/7 - 92*u**2\/7 + 576*u\/7 + 16848\/7 = 0.\nAnswer: -18, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*v**2 - 33*v + 33*v)*(-2*v - 4 + 4*v + 6).\nAnswer: -22*v**3 - 22*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-405)\/(-2) - (-5)\/10. Let d = -128 + n. Suppose -5*u + d = -30. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 463 + -413. Calculate the smallest common multiple of u and 40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 38\/24151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/21 and (-585724)\/(-92456) + 2\/((-2)\/7).\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 10*y - 6. Let q be g(-10). What is the nearest to 0 in 3, 3\/5, q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 722584174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 5 + -1 + -2. Let r be 4\/8*4\/v. Suppose -4*k + 2*f = -56, 2*k = 4*f - r + 29. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 3:49 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43838?\nAnswer: 2, 23, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 69024, 138007, 206908, 275685, 344296, 412699?\n\"Answer: -7*p**3 + p**2 + 69029*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.7 - 1.3. Let a = 26.1 - 26. What is the closest to a in -4\/7, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5 + 6\/18*13). Suppose 0 = -2*r + 2*p + 68, -2*r - y*p + 42 = -26. Calculate the remainder when r is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 + 29 - 78 - 102*b + 4 - 694 - 3*b**2 = 0.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 29 + 6 = -3*p, -4*g - 16 = 0. Suppose 2*y + 12 = 3*s, -4 = p*y - 2*s + 4. Let f = 4.7 + -4.8. What is the second biggest value in f, -0.3, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m - 22 = 0. Let s(w) = w**3 - 7*w**2 + 6*w - 2. Let i be s(6). Let d be (-222)\/m - i\/11. Round d to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-96)\/(-20))\/((-1)\/25). Suppose -4*q + 1 = -5*q. Is (-1 + 2)*(q - k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49.9 + -3.9. Let j = 69454 - 69407.953. Let r = j - x. What is r rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 5*f**2 - 7*f + 5. Let s = 24 - 44. Let d be 6\/10*2*s\/8. Let a be -1 + (5\/10)\/(d\/(-42)). Give q(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 3*m - 144 = 0, -21*m - 14*m = 5*u - 52*m + 15*m - 123 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 8*g = 0. Let k(z) be the third derivative of 0*z**4 + g*z**5 + 1\/6*z**3 - 1\/60*z**6 + 3*z**2 + 0*z + 0. Differentiate k(l) with respect to l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149 - 136. Let w(y) = 74*y + 34. What is the units digit of w(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 + 51 - 6*z**3 + (-3*z - 3*z + 3*z)*(7 + 4 - 3)*(-24 - 7*z**2 + 27 - 8*z**2) in the form q*z + x + k*z**2 + r*z**3 and give q.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-326)\/3)\/(5\/(-3) - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**7\/1260 - f**6\/360 - f**5\/30 - 3*f**2. Let a(h) be the third derivative of x(h). What is the derivative of a(n) wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 m, and 1 g when four letters picked without replacement from {q: 3, m: 2, k: 2, y: 3, g: 1, e: 1}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6552468280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d**2 + 2*d**2 + 0*d**2)*(2*d - 2 + 2)*(2 - 1 - 2)*(0 + 2 - 1)*(80 + 66 - 36) in the form l + a*d**3 + u*d**2 + k*d and give a.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -11. Let l = 3 - o. Put 0.4, l, -1 in ascending order.\nAnswer: l, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 3:48 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -135 and -97.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v**2 - 24*v. Let z(u) = 3*u**2 + 10*u. Let j be (-3)\/15 - (-2)\/((-40)\/236). Let k(c) = j*z(c) - 5*s(c). Let a(r) = 8*r**2. Determine a(k(q)).\nAnswer: 128*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 12:55 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 777890 divided by 3635.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**5\/90 + c**4\/36 - 10*c**3\/3 - 23*c**2. Find g, given that k(g) = 0.\nAnswer: -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 13*o**7\/2 + 115*o**3\/3 - 101*o. What is the second derivative of b(i) wrt i?\nAnswer: 5460*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/525 and 46\/11?\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -14, 3, 6 in ascending order.\nAnswer: -14, -5, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001689554 to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*x**4 + 3*x - 123*x**2 + 118*x**2 - 4*x + (13 - 13 + 10*x**2)*(-2*x**2 + 4*x**2 - 4*x**2) in the form p*x**4 + z*x**3 + y*x**2 + q*x + h and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/66 and (-82)\/10*70\/(-252).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -3\/4 (b) -3\/5 (c) 2\/9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-3 - 14\/(-4)). Let z be (2 - (-4 - l))*(2 + -3). Let w be 5 - (-3 - z) - 0. Solve -12 = 2*t - w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -440 + 455. Let z be 413\/(-49) + 4\/(140\/u). Let f(g) = -g - 10. Calculate f(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/1425 + 8263\/2850. Let r be (-2)\/10 - 72363\/60. Let s = r + 1220. Find the common denominator of w and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-80)*10)\/((-9)\/(-12)*54\/(-3321)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - b = 0. Solve b*s = -s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3255\/(-6)*72\/(-90). Let y = -467 + b. Is y at least as big as -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 527 - 105 = 0. Solve -3*q - r + 161 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 226 - 223. Solve -s*y - 2*n - n = -21, 5*y - 27 = -3*n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*x - 7 = 0, -5*a + 466*x - 489*x = 13 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 16 = 3*r. Let n(d) = -5*d. What is the least common multiple of n(-4) and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100210 + 12?\nAnswer: -100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 - 17 + 20)*(-v + 0*v + 3*v) - 1 + 1 + v + 3*v - 2*v + 0*v + (2 - 2 - 2*v)*(-1 + 0 - 1).\nAnswer: -100*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7699?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 310464 and 792?\nAnswer: 310464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -422.7 + 19679.7. Let y = q + -19256.699936. Let a = 0.3 - y. What is a rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -8 (c) 0.2 (d) 0.7 (e) -90.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3 - 9. Let c(m) = m + 4. Let x be c(f). Let k(z) = x - z**2 + 0*z**2 + 0 - z. Give k(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3693*f - 18461. What is t(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 + 0*i**2 - i**2 + 9*i**2 + 3*i**2 - 5*i**2 + (2*i**2 - 23*i**2 - 3*i**2)*(-2 - 5 + 5) + (4*i - 4 + 4)*(2*i - 3*i - i).\nAnswer: 46*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-60))\/((-46)\/(-115)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*k = 8, u = -0*u + 3*k + 10. Let g be 0 + 5\/u - 2. Find n, given that 2\/9 + 4\/9*n**g - 4\/9*n - 2\/9*n**4 + 0*n**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 83*o - 1 = 72*o - 163*o, -i + 2*o + 31 = 26 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**2\/7 - 4933210*m\/7 + 352372 = 0. Calculate m.\nAnswer: 1\/2, 1233302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 4:56 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2 - 42*x + 1170. Give t(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(-1 + -1)*(-791 + -10407).\nAnswer: 2, 3, 11, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x. Let t(z) = -3*z + 2. Let s(y) = 6*y - 5. Let f(c) = -c**2 + 5*c + 12. Let u be f(6). Let i(j) = u*s(j) + 15*t(j). Determine p(i(m)).\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 112*q**3 - 115*q**3 + q.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 16. Let h be t(13). Solve h*x + 3 = 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2824614046 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4*w + 11 = 0, q + 4 - 1 = w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 347189*z**4 - z**3 - 2143210 wrt z?\nAnswer: 1388756*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 - -231.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 95*j - 1110. Let p be x(21). Solve 4*q + 2*b - 2 = 6*q, 19 = q + p*b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 1 - 1)*(-58 - 118 - 16 - 8).\nAnswer: -200*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - 20*i. Let v = -6516 - -6519. Let j(b) = b**2 - 7*b. Determine v*w(z) - 8*j(z).\nAnswer: -2*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + b**2 + 26 + 39 - 40 as s*b**2 + i + t*b and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 + (-108)\/14. Let j(n) = n**3 + 8*n**2 - 2*n - 10. Let c be j(o). Suppose u = -u + c. Solve 5*m = -u*w + 10 + 19, -3*w + 2*m + 1 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.13 - -4.8. Let n = g + -1.67. Which is the third smallest value? (a) 3 (b) n (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 16. Suppose -2*n = 3*s - n - 17, -r*n - 2 = -3*s. Solve 0 = -2*i + i - s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + v**2 + 1)*(-2*v - 3*v + 3*v) + 363*v**2 - 18*v**3 - 363*v**2.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/167 and 22\/5.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 88594701 a multiple of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**2 - 112*b + 10. Let z(y) = 9*y**2 - 224*y + 22. Let g(q) = 7*u(q) - 3*z(q). Let s be g(14). Put 5, s, -2 in ascending order.\nAnswer: -2, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(4 + (-22)\/(-10)). Let y be k\/6 + 4\/(-24). Suppose 4*f - y*p - 340 = -f, -5*f + 295 = 4*p. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.5 (c) 2 (d) -5 (e) -436\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18393517, 36787033, 55180549, 73574065, 91967581?\n\"Answer: 18393516*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5045350 + 2?\nAnswer: -5045344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*a - 5. Suppose 0*k - k = -a*r - 22, r - 4 = 3*k. Let i(h) = 5*h**2 + 4*h + 16. Is 26 a factor of i(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7673, -215211 in descending order.\nAnswer: 7673, 5, -215211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3305 by -148526.\nAnswer: -3305\/148526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 32. Let d(b) = b + 25. Let u be d(i). Solve u = -a + 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*15\/21)\/(((-171)\/(-63))\/(-19)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-69)\/(-6) + -11)\/(3\/(-10)). Which is the third smallest value? (a) -0.1 (b) n (c) -1.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Suppose c = -h*u - 2*u + 126, 0 = 2*u - 4*c - 126. Suppose -339*k + 49 = -332*k. What is the greatest common divisor of k and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 82 + 10 + (0 - 2). Suppose 97*p - x*p = 721. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.63, -1\/5, 0.3, 5, -1\/4, 22.\nAnswer: -1\/4, -1\/5, 0.3, 1.63, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 u, and 1 b when three letters picked without replacement from tvuwtbs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i**2 + i - 2 - 4*i + 3*i)*(-10*i**2 - 53*i**2 - 17*i**2).\nAnswer: 560*i**4 + 160*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/270687589 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29527881 - 9?\nAnswer: 29527872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -51*l + 222999. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10949297*f**2 - 902*f - 1080?\nAnswer: 21898594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75769555?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 18225886?\nAnswer: 164032974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21100752*s**4*t - s**3*t - 13641*s*t + 4293 wrt s.\nAnswer: 253209024*s**2*t - 6*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -939 - -668. Let l = m - -829. Suppose l = 14*g - 5*g. List the prime factors of g.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 239, 1136, 2615, 4676, 7319, 10544, 14351?\n\"Answer: 291*r**2 + 24*r - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1082530294 and 4052?\nAnswer: 2026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.56203 - -0.43797. Let g = 5.3 + -0.3. Which is the nearest to 2\/7? (a) h (b) g (c) 0.016\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -179 + 256. Suppose 73*k = g*k - 628. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j - 184. Let i be o(-31). Let a(k) be the first derivative of -10 + 9\/2*k**i - 10*k. Find the first derivative of a(x) wrt x.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f - 12 = 0. Let w = 4644 + -4607. Find the second derivative of 8*s + 11*s**f - w*s - 12*s wrt s.\nAnswer: 66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j - 7. Let m(f) = 7*f + 13. What is 4*m(h) + 9*w(h)?\nAnswer: -17*h - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(6) - sqrt(54)))\/(sqrt(3) + sqrt(300)*1) + (sqrt(2) - (sqrt(18) - sqrt(2))*2) + -2 + sqrt(242))**2.\nAnswer: -320*sqrt(2)\/11 + 13284\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -911*f**2 + 19*f + 19. Let p be z(-1). Are p and -912 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-73)\/(-16) + 17\/((-102)\/(-12)). Let y = j - 477\/80. Determine t, given that -1\/5*t**4 - y*t**2 - 3\/5*t**3 + 0 - 1\/5*t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*l - 9317 = 1831 - 2208 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 17 = j, -294*s - 3*j + 15 = -291*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 17 = -2*t + 7*x, -13*t + 30 = -17*t - 6*x for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3*h = -7, -8*k = -7*k - h + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961618?\nAnswer: 2, 7, 68687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 13*a**2 + 7*a - 29. Suppose -361*l + 7 = -360*l + c, l - 5*c - 19 = 0. Let u(r) = -3*r**2 - 2*r + 7. Determine l*u(n) + 2*y(n).\nAnswer: -n**2 - 4*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21049110 + -1342072?\nAnswer: 19707038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -198\/67 or -3?\nAnswer: -198\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - 20*j**2 + 2*j**3 + 21*j**2 + 2*j - 8 as d*j**2 + a*j**3 + s*j + g and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 13*n + 23. Let f be q(-5). Let z be -2 - 2 - (-3 - f\/(-33)). Let w be ((0\/1)\/(-2))\/(-1). Is w less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -2. Suppose f*u + 5*k - 435 = 0, k = u - 4*k - 63. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85394 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 97 = 4*b + 509, -5*m = 908*b - 907*b + 285 for m.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i. Let j(x) = -2*x**3 + 2*x**2 - x. Let r be j(1). Give w(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5143897178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -40. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-13) + 105\/91 - -4. Solve -5*x - 1 = 2*g, -2*x - 2*x - 3*g = u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010110010000 (base 2) to base 14.\nAnswer: 9692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/9)\/(a\/(a\/(a*(a*a**(-11))\/a)))*a\/((a*a**(3\/13))\/a)*a**(2\/19)*a*a assuming a is positive.\nAnswer: a**(28373\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44*j**2 - 70*j - 17537 wrt j?\nAnswer: -88*j - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3*n - 9 = 0, -u = -253*n + 252*n - 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 p when two letters picked without replacement from ppwneenwennne.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -17*x**7\/7 + 5*x**3\/3 - 18. Find the third derivative of p(o) wrt o.\nAnswer: -2040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r + 52. Let q be u(10). Sort 1, -7, q in decreasing order.\nAnswer: q, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 19*q**3\/6 - 26*q. Let w(s) = 3*s**2. Give z(w(v)).\nAnswer: 57*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 69*w + 60. Let s be v(-40). Suppose 2*o = 5*q + 80, 12*o + 4*q - 200 = 7*o. Calculate the highest common factor of o and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31816.\nAnswer: 2, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) 1071 (c) 4\/9 (d) -5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7)\/h*(h*h**3\/h)\/h*((h*h\/(h\/(h*h\/(h\/(h**0\/h))))*h*h*h)\/h)**(31\/2))\/(h**(1\/4)*h*h\/(h*h**(2\/3))*h)**(15\/4) assuming h is positive.\nAnswer: h**(4623\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.4 - -6. Let o = 4.2 + g. What is o rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17528941\/4, -2\/9, -2 in ascending order.\nAnswer: -17528941\/4, -2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**5\/9 + 56*h**4\/9 + 176*h**3\/9 + 160*h**2\/9 = 0. What is h?\nAnswer: -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 11:33 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15715 and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83651\/24 + 13965\/4. Find the common denominator of z and 19\/516.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5491)\/(-1) - 20\/5. Let r be v + (12\/(-4) + 4 - -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: Suppose 5*n - 20*c + 25*c = 95, -5*c + 75 = 4*n. What is the remainder when 51 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2 - 2*v + 6. Let j(s) = s. Let b(l) = 3*j(l) - t(l). Is b(3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - (2 - 4))*-5. Let g = v - 2. Suppose 6510 = g*o + 51. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, 34, 67, 114, 175, 250?\n\"Answer: 7*m**2 - 2*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttbbtbcbttbtibitbt. What is prob of picking 2 t and 1 b?\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**5\/60 - 7*s**4\/12 - 35*s**3\/6 - 6*s**2. Let l be g(16). Put l, 2, 1 in descending order.\nAnswer: 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-5)\/((-10)\/28). Suppose 0 = -6*d + d + 95. Suppose -4*a - d = -3*k, -v = -2*k - 4*a + 13. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 120. Let n be a(0). What is the highest common divisor of n and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80*f**4*o**2 + 31*f**4*o - 5*f*o**2 + 8*f*o - 2*o**2 - 16 wrt f.\nAnswer: -960*f**2*o**2 + 372*f**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6730524591 to the power of 1\/6, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from ppwwww?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-66)\/9)\/(-11))\/(2\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/5068 and 87\/640.\nAnswer: 810880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.043307 to two dps.\nAnswer: 22.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 110889 divided by -999\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5367, 10837, 16307, 21777?\n\"Answer: 5470*g - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -12*u - 40. Let a be p(-4). Let w = 4 + a. What is the hundreds digit of (-2)\/w + 8855\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Let k = -7 + v. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1763 - 1763. Let t(f) be the third derivative of 7\/20*f**5 + 0*f**4 + 3\/2*f**3 + b + 0*f - 24*f**2. Find the first derivative of t(v) wrt v.\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1465175985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6820798 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*a**3 + 8 - 8\/3*a - 10\/9*a**2.\nAnswer: 2*(a - 6)*(a - 2)*(a + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.1 (b) 3\/2 (c) -1602\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, t: 3, h: 3, f: 3}. Give prob of picking 1 c and 2 t.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 161*x + 638*x - 18349 - 27194 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-74)\/(-8) + 6\/(-24). Let i = 17 + v. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361347204?\nAnswer: 2, 3, 23, 56923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, 4\/3, -40 in decreasing order.\nAnswer: 11, 4\/3, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9600366?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -14 (b) -0.2 (c) -3 (d) -0.63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 3*h**2 + 2*h. Calculate the remainder when 12 is divided by x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011514 rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7887 + -157641\/20. Let g be 22\/11 + (-2)\/(-1). Calculate the common denominator of s and g\/(160\/(-54)) - -3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 137400 and 467160?\nAnswer: 2335800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25917.42 and -2.\nAnswer: -51834.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 3) in base 12?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3.042. Round m to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 7:00 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 325.294 - 325. Let t = -0.445 + o. What is t rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + -3*(2 + -3 + (sqrt(1300) + -2*sqrt(1300) - sqrt(1300))))**2.\nAnswer: 46803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3528 and 891261?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -2\/15*d**5 - 20*d**2 + 0*d**4 + 1\/60*d**6 - 2*d + 0 + 0*d**3. Find s, given that b(s) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 2*z**4 + 2*z**4 + 0 + 0 + (-z - 2*z + 4*z)*(2*z**3 - 3*z + 3*z) + z**3 - 3*z**4 - z**3 - 516*z**3 + 468*z**4 + 652*z**4 + 514*z**3.\nAnswer: 1123*z**4 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 869 + -865. Let m(r) = 20*r**3 - 5*r**2 + 7*r - 4. Let k be m(4). Suppose -k = -4*h - i*h. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*d**4 + 5604*d**3 - 69771*d**2\/2 - 242001*d\/2 + 337095 = 0. What is d?\nAnswer: -15\/4, 2, 33\/4, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 4*n - 5*g = 7, 4*n - 4*g - 20 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**4\/24 + v**2. Let l = 6 - 4. Let g(w) = w**2 + 2*w**l + 0*w**2. Calculate g(r(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 9, 5*y - 15 = -4*k - 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**5 - i**4 - 26*i**3 + 5511*i**2.\nAnswer: -120*i**2 - 24*i - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -37\/3*n**2 - 5\/3*n**3 - 68\/3*n + 0 = 0.\nAnswer: -4, -17\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 5*h. Solve 4*g - 3*d + h*d + 6 = 0, 0 = -4*g + 4*d - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40005867.\nAnswer: 3, 11, 43, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -6 - (2 + (-2 - 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5078*a**4 - 9134.\nAnswer: -20312*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-131)\/(-3) + 12\/9. Let a be (-27)\/(-2)*48\/36. Calculate the highest common factor of a and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 10, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -52 + 41. Suppose -a*l + 74 = -25. Solve 5*j - 2*i = 5, 7*j - 3*j + i + l = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17 - -0.015.\nAnswer: 0.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 2 + (0 - -3). Suppose -3*a = -k*a + 2, 3*a = 4*z - 29. What is the highest common factor of z and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159360 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + ((4 - -1) + 2 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4.53 (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5831\/10 - -40777\/70. Let k = -4 - -9. What is the closest to g in -2, 2\/3, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7096200 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6866*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 134594.79 months in centuries?\nAnswer: 112.162325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120376 + -120364. Suppose -5*p = -63 - 207. What is the highest common factor of p and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-12))\/((-2)\/12). Which is the nearest to 2? (a) l (b) 2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -412861?\nAnswer: 5\/412861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**4\/4 + j**3\/3 - j**2\/2 - 9*j + 2. Let v = 845 - 845. Calculate q(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - 1. Let l = a - -13. Suppose l*m - 8*m + 270 = 0. What is the greatest common divisor of 36 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42\/317 + 1245\/2219. Which is the smallest value? (a) 3\/2 (b) 533 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05888 times -0.444\nAnswer: 0.02614272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 6*j**2 - 2*j - 9. Let l be t(-6). Suppose -l*s = s - 4. Let q be (-12 + 0 - (-1)\/1)*s. Are q and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10, 23, 44, 73, 110, 155, 208?\n\"Answer: 4*q**2 + q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 457704\/270 - (-9)\/5. Solve 1687 - s = 5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 71*s**4 + 261 - 284 - 52*s**4. Suppose 0 = 5*c + 7 - 2. Let k(h) = -1. Let l(m) = c*n(m) + 2*k(m). Differentiate l(w) wrt w.\nAnswer: -76*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of x*y + 30*x - 46*y wrt x?\nAnswer: y + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 3, q: 3, b: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 1717 + 6818 = 0. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x - 218*x + 4743391 + 4777439 = 0. Does 33 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k. Let r be a(7). Suppose 0 = -3*n + 4*y - y + 9, 3*n - 4*y - 10 = 0. Suppose -v = 2*s - 2, -n*v - 4*s = -2*s - r. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1005)\/4221)\/(35\/42*-5).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2021.9999551 - 2022. What is p rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/6*461800000\/(-30). What is x rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 - 114. Let d(m) = 49*m**2. What is z(d(g))?\nAnswer: -7203*g**4 - 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20744 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -32, -87, -194, -371, -636, -1007?\n\"Answer: -3*o**3 + o**2 - 3*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j**4 + 485*j**3 + 840*j**2 + 340*j = 0.\nAnswer: -1, -2\/3, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 2:40 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43297 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + 143\/12*-1 and (-235)\/36 - 4\/(-16).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + -3 + sqrt(5) - (sqrt(245) + sqrt(245) + 3) - (((sqrt(180) - -5*((sqrt(180) - (-1 + sqrt(180))) + sqrt(180))) + sqrt(180) - sqrt(180))*4)**2).\nAnswer: -104088 - 5773*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3926278?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2*v**3 + 11 - 2*v**3 - 6861626*v**2 + 6861626*v**2.\nAnswer: -4*v**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*q + 22. Suppose -5 = -5*w - 4*p - p, q*w + 3 = -p. Calculate the lowest common multiple of -1 - (w + 0 + (1 - 12)) and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8467 - 5570. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 12 = -5*u, 1223*u = 3*z + 1220*u - 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8148385 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*j**2 + 4\/3*j**3 - 8 - 20\/3*j.\nAnswer: 4*(j - 2)*(j + 1)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, e: 1, r: 1, p: 3}. What is prob of sequence reii?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7312.21 and 0.5.\nAnswer: -3656.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38643177.254 + 0.144.\nAnswer: -38643177.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -9*w + 20. Suppose y - 11 = 3*i, 3*y + w = -2*i - 17. Let j = -0.096 - -0.596. Put -15, j, 1\/3, i in increasing order.\nAnswer: -15, i, 1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 261 + -252. Let t be (1\/2)\/(b\/(-72)) + 11. Solve t - 12 = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6260*w + 6249*w + 2436 = 12593*w for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (-6 - (33 - 20)) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*z - 135 - 133 + 268.\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, i: 1, u: 2, p: 2, k: 1}. Give prob of picking 1 p and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 2:02 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -851*z + 668*z = 3111 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 345463 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 55 (c) 0.5 (d) 1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-588*i**3 + 3259*i**3 + 1709*i**3)*(0*i - 3*i - i).\nAnswer: -17520*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-36)\/10*(-10)\/4 + 3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -30. Calculate the greatest common divisor of 18 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10516?\nAnswer: 2, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 460.8358us to seconds.\nAnswer: 0.0004608358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f**2 + 5. Let o(c) = -6*c**2 - 4. Let v(u) = 5*o(u) + 4*p(u). Let m(d) be the second derivative of d**3\/3 - 2*d. What is v(m(n))?\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6084068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7127000 rounded to the nearest one hundred thousand?\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/56 + -1\/7. Which is the second smallest value? (a) p (b) 0.3 (c) 0.2 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-3*f**5 - 4*f**5 - 18*f**5)*(-19 - 39 + 27).\nAnswer: -1550*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**2 - 2*h + 3. Determine f(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.7 + 4.5. Is b equal to -2.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 157, 169, 195, 241, 313?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 6*k**2 - 6*k - 2. Let i be j(7). Suppose -11 = 5*c + 3*z - z, -5*c - i = 5*z. What is the remainder when 2\/c*(-93)\/2 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2885727?\nAnswer: 3, 13, 61, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 2 - 6*t + 5*t**2 + 3 + 15*t. Let u be 816\/27 - 2\/9. Suppose -6*k + k - u = 0. Let r(c) = -5*c**2 - 10*c - 6. Determine k*i(m) - 5*r(m).\nAnswer: m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 8 - (4 + (-5 - 0))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 - (5 - (-17 - -26 - -2) - -16)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37\/3 or 13?\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/668 - 2763\/60788. Let t = -344\/455 + c. What is the third smallest value in 0.4, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/558 and -39\/310.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 5:23 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9846 is divided by 1394.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 132*v**2. Let x(g) be the third derivative of g**6\/360 - 101*g**3\/6 + 30*g**2. Let z(h) be the first derivative of x(h). Determine m(z(o)).\nAnswer: 132*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -520.63? (a) -131 (b) 13 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -37016*n**2. Let b(m) = -19*m. Calculate b(w(c)).\nAnswer: 703304*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 10, -4*s - 6 = -32*o + 33*o. Sort 3\/4, o, 2\/5, 54, -1 in increasing order.\nAnswer: -1, 2\/5, 3\/4, o, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -281 - 48. Which is greater: l or -330?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/235 and -77\/282?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 16) in base 7?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b3 + a4752?\nAnswer: a4b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 265115 and 583253?\nAnswer: 2916265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.892872km to centimeters.\nAnswer: 789287.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 83*v - 18. Let y be w(39). Is y bigger than -212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1092\/3900*4*(-5)\/(560\/(-12))?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**5\/3 - 16*x**4\/3 - 30*x**3 - 80*x**2\/3 + 88*x\/3 + 32 = 0.\nAnswer: -2, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36*u**2*x**2 + 39194*u**2*x - 7*u**2 - 36*x**2 - 1154963 wrt u?\nAnswer: -72*u*x**2 + 78388*u*x - 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3561002 is divided by 234.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -42*1\/((-1)\/(-1)). Let t be 168\/q - 12\/(-2). Solve 12 = 4*x, -t*u - 3*x - 6 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -29*a**4\/3 + a**2 - 5*a - 137. Let d(o) = -9*o**2. Determine m(d(n)).\nAnswer: -9396*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w + 1. Let c(y) = -3*y - 1. Let v(z) = -3*c(z) - 5*q(z). Let f be v(-5). Let g = f + 0. What is the smallest common multiple of g and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dppp when four letters picked without replacement from {d: 11, p: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (52\/8 - 7)*-10. Suppose 5*h + 459025 = 6*h + u*a, -3*a - 458985 = -h. Round h to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -975695\/6 - -162616. Let t be -2 + 2 + 2\/(-1). Let g be 1 + (1 - 2) - t. What is the closest to g in -2\/11, m, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (4 + -4 - (1 - 2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -o, -2*o + 54 - 65 = 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5217 and 2256.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - -9d88?\nAnswer: 9d7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 240 = 5*y, -5*y = a + 71 + 1. Let n be 165*(-2 - a\/6). Round n to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 195096889?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95786 = -12*b + 41362. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -150, 2\/7 in descending order.\nAnswer: 2\/7, 0, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.22 - 10.52. Let j = 10 + d. Which is the closest to -0.1? (a) j (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -181985189, -363970375, -545955561, -727940747?\n\"Answer: -181985186*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -305 + (-5 - -2*(-9)\/(-2)). What are the prime factors of (-258)\/i*-4*(-1722)\/4?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, 48, 314, 688?\nAnswer: 1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-3591)\/(-483) - (-20 + -2 + 18)?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(19) - sqrt(19)*1) + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/((-50)\/(-10))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 238906, 238926, 238936, 238930, 238902, 238846, 238756, 238626?\n\"Answer: -h**3 + h**2 + 24*h + 238882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(74 - 211 + 21392*a - 21337*a).\nAnswer: -110*a + 274","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5426, 14991, 24556, 34121, 43686, 53251?\n\"Answer: 9565*h - 4139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 966 and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 233 + 164. Let v = -229 + t. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v + 8 = 0, 4*d + 12 = v. Sort d, -1, 4 in ascending order.\nAnswer: d, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeeeeeexeeeeeexeeeee. Give prob of picking 2 e.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 0*z**3 + 0*z**2 + 7 + 0*z - z**4 - 2\/5*z**5. Factor j(h).\nAnswer: -2*h**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -50 (b) -2\/79 (c) -0.4 (d) 0.1 (e) -37 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -724\/17 - -19807\/408. What is the common denominator of q and -115\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*d + 48*d - 4*x + 792 = 0, -4*d - d = -4*x - 237 for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**8\/1344 - 73*v**7\/840 + 719*v**6\/240 - 1943*v**5\/120 + 3745*v**4\/96 - 1225*v**3\/24 + 178*v**2. Solve g(z) = 0.\nAnswer: 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19200 divided by 1920.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -32. Let f be 2*1 + (l - 15\/(-5)). Suppose -2*y - 182 = -5*m, 6 = 3*m - f*y - 105. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.5 (c) 1\/8 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362666.\nAnswer: 2, 149, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1716*v = 4*z + 1718*v + 24, -4*z - 28 = 3*v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1.3. Let f = 0 - 0. Let y = f - o. Which is the second biggest value? (a) -2\/3 (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21621 + 79399.\nAnswer: 101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15 - 6) + -1 - 18. Is 18\/i*6650\/(-42) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9445998 - 5?\nAnswer: -94459a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -43?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25208119 to the power of 1\/2, to the nearest integer?\nAnswer: 5021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8315300?\nAnswer: 2, 5, 7, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -44, 1, -18?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**3 - 2. Let f(z) = z**3 - 1. Calculate -2*f(g) + p(g).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8710 divided by -4355\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in 2\/9, 2\/3, 0.04, -2\/55?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2556 = -10699*p + 10841*p for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**12\/o**(-14) assuming o is positive.\nAnswer: o**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*s + 2*j - 373, -4*s - j + 299 = 0. Suppose -7*n - 30 = s. Which is smaller: n or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 41*p - 29*p + 35. Let c(o) be the second derivative of 0 + 4\/13*o**2 + 1\/78*o**p - o + 4\/39*o**3. Let c(v) = 0. What is v?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-27)\/15 + 546\/(-2730).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 8. Let d(s) = 88750*s**2 - s - 4. Let n be d(z). What is n rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 3*v + 27*v**2)*(21 - 4 + 5 + 9).\nAnswer: 837*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 10*y = -50. Let l be ((-6)\/(-15))\/(y\/2450). Let g = l - 8. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 2*q**2 + 88*q + 4330. What is the lowest common multiple of w(0) and 2165?\nAnswer: 4330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.1 (c) -12 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 3 - (-37 - -23)) + -6 + -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(((-33)\/(-5))\/(330\/550))?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -3. Suppose -5*s - 270 = -5*t, -2*s + 105 = 2*t - s. Suppose 0 = 2*h - q*h - 3*r + t, r - 27 = -h. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 m when four letters picked without replacement from rmmrormrol?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 - 251 = 6*t - 2*t + 3*l, -2 = t + 4*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*p + 224*p - 261 = 107*p for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 11*b + 9. Let q be t(13). Let n be (0\/(-1))\/(q + 16) - -3. Solve n*f - f - 5*c + 6 = 0, -2*f + 6 = c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 38*i - 1. Let d be l(1). Suppose 4*f + 12 = -2*h, 2*f + d = 3*h - 3*f. Suppose -3 - 17 = -h*s. Calculate the remainder when 13 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -1.8 (b) -0.1 (c) -11 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -43464 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51575 * -114.4.\nAnswer: -5900180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 2*t - 18. Let j(i) = -i - 1. Let b(o) = a(o) + 4*j(o). Let x(q) be the first derivative of b(q). Determine x(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.07416 and 235.8768.\nAnswer: 235.95096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1773192 and 0.5.\nAnswer: 886596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -398746.002 to the nearest 100.\nAnswer: -398700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**2. Let p(r) = 5852*r**2. What is p(f(u))?\nAnswer: 286748*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*o**4 + 16*o**3 + 35*o**2 - 7220*o - 2.\nAnswer: 264*o**2 + 96*o + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 1. Let f(j) = 1. Let h(d) = c(d) - f(d). Let v(m) = 5*m + 2. Let u(p) = -5*p - 3. Let i(x) = -2*u(x) - 3*v(x). Determine -4*h(b) - i(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-595)\/(229075\/(-924)))\/((-18)\/(-285)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -8.2, -6, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*c + 363, 3*c + 10 = 5*c. Suppose 7*z = 4*z + a. Let j = 156 - z. List the prime factors of j.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(143)*-1)\/((-1*sqrt(88))\/sqrt(8)) + 4*sqrt(78)\/(sqrt(864)*-2)*-3.\nAnswer: -11*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0 (b) 0.2 (c) 0.019\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (185 - 49) + -56 - (-11 + (1 - 1) - -4)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*u + 52*u - 105*u + 149*u - 75*u - 79*u + (0 + 0 - 2*u)*(-4 + 1 + 4) in the form a*u + o and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -9*k**4\/2 + 47*k**3 - k**2\/2 - 4934*k + 7259. What is the second derivative of s(v) wrt v?\nAnswer: -108*v + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 159213, 159217, 159219, 159219, 159217, 159213?\n\"Answer: -k**2 + 7*k + 159207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3461636*u**3 - 97*u**2 + 9506947*u - 13 wrt u?\nAnswer: -20769816*u - 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/72 and 67\/126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - l + 6 = 0, k + 3*k + l + 14 = 0. Let q(m) = m**3 + 6*m**2 + 6*m + 6. Give q(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v - v - 10*v**2 - 3*v + 5*v**3. Suppose -3*f = -2*b + 32, 9*b - 4*b - 2*f - 58 = 0. Let x(h) = -2*h**3 + 3*h**2 + 3*h. Give b*x(l) + 3*y(l).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*405912\/144*6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v - 1. Let m be y(3). Let i = -12 + 20. Calculate the greatest common divisor of i and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - ((-41 + 24 - -25) + -45).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 14. Let z = 8 - c. Solve 6*w - z*w = -3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 2598 = -48*l + 4182 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -17*w**6\/120 + w**3\/6 + 5*w**2. Find the first derivative of m(c) wrt c.\nAnswer: -51*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-6)\/l))\/(l*l\/(l*l**(-5)))*l\/(l\/l**(-3\/5))*l*l*l**(-1\/2)*l assuming l is positive.\nAnswer: l**(39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3965 (b) -1 (c) -2\/25 (d) -1\/4 (e) 1\/5 (f) 0.1 (g) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*h*w**2 - h*w + 137*h - 452*w**2 + 27*w wrt w?\nAnswer: 52*h - 904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1302906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1224651 is divided by 244655.\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/u**(-15)))\/u*u*(u**(-9\/2)\/u)\/u)\/(u*(u*u**(2\/107))\/u)**38 assuming u is positive.\nAnswer: u**(-13099\/214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2314 + 2318. Solve 5*p + 14 = c*z + 19, p - z - 1 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 770*f**2 + 6852*f + 32. What is s(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195796, -391573, -587350?\nAnswer: -783127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14610*h = 14600*h + 170 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012412811 to six decimal places.\nAnswer: 0.012413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1780.903 - 1780. Let l = 0.127 + k. Let c = -0.03 + l. What is the smallest value in -0.5, c, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i + 42*i + 43*i + 21*i - 1 + 7*i - 26*i.\nAnswer: 99*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -68456.\nAnswer: -7\/34228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*h - 499*h - 3780 = 0 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 10*x - 98 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/16, -1.79, -0.0494 in decreasing order.\nAnswer: 3\/16, -0.0494, -1.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 36 = -4*y, 2*y - 33 = -3*y + f. Let j(q) = -26*q + 4*q**2 - 5*q**2 + y - 4 + 5. Is j(-19) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 + -63. Suppose 0 = -5*h + 9*h - f. Suppose h*d = 2*k - 92, 7*k - 184 = 3*k - d. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 6:23 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19\/(-6) - (-2)\/3. Suppose 3*g - 4*g - 11 = 3*k, -3*g - 5*k - 21 = 0. Let o = -2\/87 - 9\/29. What is the closest to o in g, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*h = -37*h + 73*h. Suppose -v = z + 8, z + 13 = -h*z - 2*v. Let q(b) = b**2 - b. Let y = -2 + 3. Let x(u) = 4*u**2 - 3*u. Give y*x(p) + z*q(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.86322 to 2 dps.\nAnswer: -1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 10) to base 2\nAnswer: 1000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 5 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 9 - 2. Let l(a) = a**2 + 7*a - 4. Let t be l(g). Let i(o) = 10*o + 34. Let k(q) = 2*q + 7. Let v(u) = 3*i(u) - 14*k(u). Calculate v(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1402208523?\nAnswer: 3, 31, 1675279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (16\/56 - (-7544)\/7). Let l = f + 2702. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1 + 13 = 0. Let a = -172 - -171.827. Let g = -0.173 - a. What is the nearest to k in g, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -20922?\nAnswer: 5\/20922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/3*32\/((-768)\/(-72))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2 + -2.1. What is the closest to w in 3\/5, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from {k: 3, l: 4, u: 4, w: 1, a: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2926052, 2926088, 2926124, 2926160, 2926196, 2926232?\n\"Answer: 36*g + 2926016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - w + 35, 4*x - 51*w - 28 = -53*w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 32c7d (base 15) to base 16\nAnswer: 276a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 116 - 1699 = 0. Let l be (-8)\/3*6\/(-4). Suppose i + 0*i + 75 = 2*d, l*d - 5*i = c. What is the highest common factor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 1210*r - 13 - 2 - 2 - 335*r.\nAnswer: 875*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 2*g - 3. Let x be 1*(-4 - -1 - -5). Suppose x*u - 5*f - 5 = -u, -2*u = -f + 6. Let a(o) = -3*o**2 - 4*o - 7. Calculate u*k(p) + 2*a(p).\nAnswer: -p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 14. Suppose 57*y + 58*y - 460 = 0. Solve m + k = y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -2 (b) 0.067229 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - 7*s + 10 = 2*b, -5*s - 20 = 5*b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1195505608?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 381088.1mm to meters.\nAnswer: 381.0881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 times 0.12\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0080296 rounded to four decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -8735\/8 >= -1091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -800 - -803. Put 0.01, w, -2\/9, -1 in increasing order.\nAnswer: -1, -2\/9, 0.01, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t. Let o(m) = 3*m + 11. Let f be o(-3). Let d(q) = -2*q. Determine f*j(g) + d(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 39 + 2*s + 49 - 88. Suppose -4*l - 19 = 5*u, -7 = l + 3*u + 3. Give g(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.13 + -0.13. Let r = -11 - -10.6. Let g = -0.03 - -4.03. Sort u, g, r in descending order.\nAnswer: u, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 3102.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17979113 is divided by 22874?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (504\/(-51) - (-16)\/(-136)). Let i be y\/((-108)\/102) + -9. Put 0, 0.05, i, -1 in increasing order.\nAnswer: -1, i, 0, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431129 is divided by 852.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 330 and 264?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4)*4)\/sqrt(2).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 2*w + 2 - 3*w**3 + 4 - 3. Let l(s) = 39*s**3 - 27*s**2 - 27*s - 39. Let t(c) = 2*l(c) + 27*v(c). What is the first derivative of t(m) wrt m?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 720.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 7:39 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.2 - -1.3. Let q = z - 18. What is the nearest to q in -5, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 z when four letters picked without replacement from mmzmmmmmmzmmmmmmmm?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 22*j**3\/3 + 1. Let n(o) = -358*o. Let u(p) = -1147*p. Let f(s) = 16*n(s) - 5*u(s). Give f(g(x)).\nAnswer: 154*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 806 - 818. Sort -0.4, -9, b.\nAnswer: b, -9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 11849.\nAnswer: 11873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3.1. Let p = -28 - -39. Let z = -7 + p. Which is the third biggest value? (a) -6 (b) g (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-t**2 + t**2 + t**3 - 3*t**3 + 3*t**3 - 4*t**3 + (1 + 0 - 2)*(-t**2 - 2*t**3 + t**2) - 2*t**3 - 2*t**3 + t**3).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g. Let a(p) be the second derivative of -p**6\/720 + 5*p**4\/2 - 29*p. Let s(c) be the third derivative of a(c). What is s(m(h))?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11916\/(-8))\/((-2)\/(-4)). Let h = 329 - u. Let r = h - 2341. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2146 rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -1571*m**4\/12 - 20*m + 181. Let c(a) = -a. Determine c(o(l)).\nAnswer: 1571*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 105 - 6277?\nAnswer: -6172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -1\/14*i**4 + 0*i**3 + 1\/784*i**8 + 48*i**2 + 3\/280*i**6 + 2\/245*i**7 - 1\/35*i**5 + 0*i + 0. What is o in g(o) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 3:59 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2767\/32130 + 2\/945. Let d = 38 + -54.4. Let y = d + 17.4. Is a smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1957 is divided by 388?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -12*a + 234. Let r(f) = -2*f**3 - 7*f**2 + 8*f - 8. What is the smallest common multiple of r(-5) and z(12)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -1\/2*b**2 - 1\/4*b**4 - 183 - 12*b + 1\/3*b**3. Determine t(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 288*a**2.\nAnswer: 3*a**2*(a - 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13*-34385550\nAnswer: 447012150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(-2\/3)*s)*s\/((s*s\/s**(-2\/11))\/s) assuming s is positive.\nAnswer: s**(16\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + -10 + (-4 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*p + 9 + 451*p + 1332*p - 10.\nAnswer: 1486*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 9*n**2 + 17*n + 59. Let h be z(-10). Which is the fifth biggest value? (a) 2 (b) 2\/7 (c) h (d) 2\/9 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8210330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 3*x - 22. Let a be q(3). Let w be (-2)\/3 + (-40)\/(-6). Which is greater: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 2*q - 25 = 0. Solve 5*n = z - 2 - 16, q*z + 18 = -2*n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -0.2. Let z = 32 - 36.2. Let f = k + z. What is the nearest to 1 in f, -0.5, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87.73544l?\nAnswer: 87735.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 4618848.\nAnswer: -5\/1154712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 3*y**2\/2 + 1. Let l(m) be the second derivative of 0*m**2 + 0 + m + 1\/3*m**3. Calculate b(l(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257546 = 1611*h + 742*h - 387*h for h.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, -98.2, 5 in ascending order.\nAnswer: -98.2, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0, -4, 0.2, -0.6675?\nAnswer: -0.6675","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a + 27 = 4*l, -5*l - a + 18 = 0. Let c be (0 - -40)*26\/52. Solve d - 3*i - 2 - l = 0, -4*d = -i - c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3075)\/123*561\/(-255).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 l when three letters picked without replacement from {l: 6, w: 2, a: 2, p: 5, b: 1}.\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7*p + 3*f = 6, f = 4*p - 3. What is the remainder when (1*-2 + -32)\/(-2) is divided by p\/2*(20 + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -298 (base 13) in base 14?\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1177 - 1191. Let l(k) = -10*k + 14. Let q(j) = 2*j - 3. Suppose -4*z = -2*y - 32, 5*z - y - 35 = 4*y. Let b = 6 - z. Calculate b*l(a) + u*q(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2502 + -1?\nAnswer: -2503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -270 + -28. Let a be o\/(-10) + 4\/20. What is the highest common factor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n + 2*n**2 - 2*n**2 - 6*n**3.\nAnswer: -6*n**3 - 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(sqrt(7) - (sqrt(7) - ((sqrt(63)*-1 - sqrt(63)) + sqrt(7))))*1 + 3*(0 + sqrt(1008) + 2))**2.\nAnswer: 312*sqrt(7) + 4763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 3*g**2 - 2*g**2 + g)*(-14 + 14 + 9*g).\nAnswer: -9*g**3 + 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j + 4. Let u(l) = l**2 + 10*l - 13. Let h = -18 - -20. Calculate h*u(f) + 7*v(f).\nAnswer: 2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5028721799 and -2.\nAnswer: -5028721801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -646, -1284, -1922, -2560?\nAnswer: -3198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -2*((-26)\/4 - -1) and (-2)\/(4\/(-24)*4).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129735 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 33*f**2 + 42*f + 354. Calculate the lowest common multiple of 1989 and a(-32).\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351766129 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95\/4 - -193\/8. Let o be -12*(-4)\/(-8)*1\/(-4). Let j = 51 - 203\/4. Which is the smallest value? (a) s (b) j (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*y - 5 + 42*y + 3 + 120*y + 114*y.\nAnswer: 215*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 + 19*z + 8. Calculate s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (7 - 1) + -2 + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -19, -45, -71, -91?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 5*r + 4. Suppose 2*u = -47 + 123. Suppose 0 = -2*k + u - 26. Determine n(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 - 4*a**2 - 372*a. Let t(m) = -4*m**3 - 9*m**2 - 740*m. Calculate -9*b(o) + 4*t(o).\nAnswer: 2*o**3 + 388*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71069603 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + (-17 - -16)*-6. What is the closest to 0 in -11, m, 321?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-99)\/27)\/((-198)\/54) + 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -324140413 (base 5) to base 4\nAnswer: -11110322012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 86.29454 nanograms?\nAnswer: 0.00008629454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 11, w: 2}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 136*j - 135*j - 4. Solve -3*h + 11*c - 7*c = -14, -4*c = -j*h + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggjgggggggggg. What is prob of sequence gg?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -7.25. Let s = y + 0.15. Let p = 1.60056 + s. What is p rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from {k: 1, v: 1, c: 1, j: 1, r: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -24.64. Let a = z - -1.35999937. What is a rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111111100100 (base 2) to base 7.\nAnswer: -32542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1133036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -17666.6374 to the nearest integer.\nAnswer: -17667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*v = -5, -2*a + v + 1281 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14943734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -18.3606?\nAnswer: 18.6606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 11*k**2 + 13*k - 17. Let h be q(10). Calculate the highest common factor of 13 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 7:29 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/36*(-86)\/(-602)*(-14)\/(-10).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - 2*d**3 + 3*d**3)*(-4*d**2 + d**2 - 4*d**2) + (0*d - d - d)*(d**4 + 4*d - 4*d) + 0*d**5 + 3*d**5 - 4*d**5 - 2*d**5 - 2*d**2 + 2*d**2.\nAnswer: -19*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -i - 14. Suppose -3*l = 5*v - 15, -4*v - 5 = i. Let x be (-12)\/8*4\/(-3). Solve -x*g = -0*g + l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 2:31 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -700202031*q**5 + 483*q**2 + 1577*q + 8?\nAnswer: -42012121860*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -d164 (base 14) to base 6\nAnswer: -434244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/23))\/k*k**6*k**1\/(k*k**(3\/4))*(k\/k**(1\/3)*k)**(-33)*(k**(2\/7))**(-27) assuming k is positive.\nAnswer: k**(-37063\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.28 + 2.55. Round a to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2737\/(-245) + 11)\/((-15)\/(-35)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*k + 5*k**2 + 85*k - 185*k.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from {z: 1, u: 7, l: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09741768217 rounded to three decimal places?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and ((-40)\/(-50))\/(2\/15 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*g - 100*g**2 + 35*g - 83*g + 2*g**2 + 18*g.\nAnswer: -98*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 10*n**2 - 29*n + 134. Calculate y(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608394 is divided by 4946?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -626 - -5636\/9. Which is the closest to t? (a) -2\/11 (b) -0.1 (c) -4 (d) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -65, -74, -59, -14, 67, 190, 361?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58908144853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225720 is divided by 1123.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -401 (base 6) in base 15?\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 4*z**2 - 6*z + 4. Give h(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186854, 186858, 186874, 186908, 186966, 187054, 187178, 187344?\nAnswer: 187558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (16 - (-3 - -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/5 + 8*q**4\/5 + 18*q**3\/5 - 27*q\/5.\nAnswer: q*(q - 1)*(q + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 + 23*z + 57. Let g be u(-4). What is the closest to g in -0.5, -1\/3, 2\/15, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103650 or 1522?\nAnswer: -103650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*k**3*p*s - 16*k**3*p - 42*k**3*s - 11*k**3 + 2*k**2*p*s + 3217*k**2*p - 54*k**2*s - k**2 wrt k?\nAnswer: 24*p*s - 96*p - 252*s - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 814\/10 + (-10)\/25. Let s be 6\/4*(-3)\/y. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3793 times 0.2?\nAnswer: 0.07586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 34 = 3*q + 5, -25 = -d - 3*q. Let p be -1*(2 - d\/9). Sort 1, 0, p.\nAnswer: p, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3.5 (b) -5 (c) -0.1 (d) 0.4 (e) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*r - 1, -3*r = 3*z - 3 - 3. Suppose -4*u - u = 10. Is (z\/(-15)*743)\/(u\/10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13916 and 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*n = 128388 - 39208 + 36052. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 17 = 11*f. Let s(k) = k**2 - 2. Let b be s(0). Sort f, b, -2\/15 in ascending order.\nAnswer: b, f, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Suppose -o + q = 0, b*o - 3*o + 4*q = 0. Solve m + 3*m + 5*h - 8 = o, -4*m = h - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 7\/((-14)\/(-8)). What are the prime factors of ((-82)\/4)\/(t\/(-20))?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28646023?\nAnswer: 7, 53, 77213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 807.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-3*(-5)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -7. Let l = 19 - 8. Let a = 27 - l. What is the remainder when r is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 u when three letters picked without replacement from {n: 2, m: 3, u: 3, c: 2, q: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 620179482 divided by -4.\nAnswer: -310089741\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 315 and 1365.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45685 is divided by 835?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 - 29*k + 11. Let m be o(10). Let c be (6\/(-5))\/(2\/(-70)). Calculate the greatest common divisor of c and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 19. Suppose u*v - v - 101 = -a, -v - 4*a = -29. Is v equal to 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, 1162, 3, -1, -4, -5, 0 in descending order.\nAnswer: 1162, 3, 0, -1, -4, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -1*10) + -3. Suppose 4*k = c - 197, -z*k + k = 2*c - 384. Find the first derivative of -c*w - 4*w**2 + 9 + 193*w wrt w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3431\/61 or 57?\nAnswer: 3431\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(132)\/sqrt(4) + (sqrt(165) + (sqrt(165) - (1*sqrt(165) - sqrt(165))))\/sqrt(5))\/(-1*2*sqrt(147)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 86 = -50*x - 318 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 plus -86638519134?\nAnswer: -86638519410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6643 + -1687325\/254. Is -1 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 30. Suppose -3*z + 8*z - 15 = 0. Suppose -z*n + 5*b + 356 = -48, 0 = -n + 4*b + 123. What is the highest common divisor of j and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r**2 + 7*r. Let d = -13 - -7. Let y(z) = 117 - 6*z - 117 - 7*z**2. Let w = -16 + 9. Calculate d*o(s) + w*y(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2263 and 5913.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 695005911 to the nearest integer?\nAnswer: 26363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21979838501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 287 + -226. Suppose 0 = i*g - 53*g. Solve 11*d - 9*d + 8 = g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -584, -4586, -15442, -36578, -71420, -123394, -195926?\n\"Answer: -571*g**3 - g**2 - 2*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10680\/(-75)*1230\/(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 886359.7us to milliseconds.\nAnswer: 886.3597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444581037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 15*j - 3. Let k be u(1). Calculate the highest common divisor of k and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxqmqpt. Give prob of picking 1 m, 1 c, and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - u**2 - 2*u - 3. Let c(l) = -l - 1. What is -3*c(i) + y(i)?\nAnswer: -i**3 - i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 39 - -27 - 25?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*q - 60 = 0, 0 = 5*l - 3*q + 42 + 34. Let k = 35 + l. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30023 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: List the prime factors of 535959.\nAnswer: 3, 17, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -6*m + 4. Let r(q) = 2 - 2 + 2*q**m. Let c(h) = -h**2. Let p(z) = z**2. Let j(l) = 6*c(l) + 7*p(l). Determine j(r(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kck when three letters picked without replacement from ccppkzckzpp.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**3 + 2*b**2 + 4*b**3 + b**3 + 1 in the form x*b + m*b**3 + c + s*b**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 316022083*j**2 + 533714395?\nAnswer: 632044166*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-84))\/((-3)\/(-21)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/12)\/((-5)\/(-45)*3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h + h**2 - 4*h + 24*h**2 - 42 + 42 + (-h + 2 - 2)*(-2*h + 2*h - h) + 0*h**2 - h**2 + 2*h**2 to the form u*h**2 + n + a*h and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = -2*x - x + 2*s, -5*x - 207 = -3*s. Let f = x - -43. Let z be ((-2)\/f)\/((-1)\/2). Which is greater: z or 2\/49?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15247136?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, l: 3, v: 9, i: 5}. What is prob of picking 2 l and 2 v?\nAnswer: 36\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.42 (b) -4 (c) 2\/5 (d) 20 (e) 0.3 (f) -0.55 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5. Let g = 164 + -160. Suppose -g*v = v + 3*b - 39, 5*v = y*b + 55. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332798489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 585848064 and 2304?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(-5*(-2)\/5 + -1). Solve 5*s - 19 - 6 = a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Suppose -4*a = n - 325 - 82, -o*a + 2*n = -196. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/225 and -145\/198.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**5\/5 + 58*j**4\/5 - 172*j**3\/5 - 1488*j**2\/5 = 0. What is j?\nAnswer: -31, -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1185*l**3 - 1491 wrt l?\nAnswer: -3555*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 0*u - 5\/6*u**3 + 0*u**4 + 0 + 0*u**5 + 4*u**2 + 7\/120*u**6. Differentiate i(n) with respect to n.\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1066 and 1685346.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6153 and 53619?\nAnswer: 375333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from xnndc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (14 - 7) + -21\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2669660 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5 + 2 - 3*q**2 + 5*q**2 - 5*q**2 wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 - 31*a**2 + 77*a - 568. What is w(10)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*h - 3 - 2, 2*h + 8 = 4*w. Let t(r) = -21*r + 1354. Let y be t(64). Solve o + 20 = 4*v, -w*o + v + v - y = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155608458 divided by -2\nAnswer: 77804229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/14)\/((-1809)\/(-25326))*-20.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Let x = -4.3 + -0.7. Which is the third biggest value? (a) 1\/10 (b) x (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.026 + 21.574. Let p = b + -21.9. Let j = 0.2 + -0.2. What is the closest to p in 5, -2\/7, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/20 and 2*1\/2 + (1 - (-1095125)\/(-549450)).\nAnswer: 219780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 11*v + 36. Determine q(-10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 22\/7*g - 3 - 1\/7*g**2 = 0.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + (-59)\/(-5))\/((-2)\/(-5)). Suppose -5*v - l = -5*t + 13, 2*t - 4*v = 18. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 10, d: 1, o: 1}. 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: What is the remainder when 924 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -11. Let y be 15\/n - (-1)\/3. Is 7 a factor of (1\/y)\/((-1)\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2 - 12079*v - 12080 = 0.\nAnswer: -1, 12080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78922 is divided by 7873.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 minus 1.110858?\nAnswer: 24.889142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 29 = 79. Let v be (-3)\/(k\/(-12))*3\/(-2). Is v at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1280 = 15*j + 66*j - 824 - 3534 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.324 - 0.504. Let p = 0.18 + g. What is the third smallest value in 2\/13, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -4 + 874 + -6. Suppose -5*s - 5*g + c = -s, g - 1055 = -5*s. Is s a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*s + 25. Calculate the highest common divisor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230075 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*b = 284, 5*c - 2*b - 1420 = -b. Suppose 2*v + 4*y = c, v + 15 = 4*y + 175. What are the prime factors of v?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1186 (base 9) to base 12.\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*y = -103*y - 3. Let v(r) = -r**3 + 2*r**2 + 2*r - 4. Let n(w) = -2*w**3 + 5*w**2 + 5*w - 8. Let p(j) = 6*n(j) - 13*v(j). Determine p(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2284)\/(-6)*3\/2. Let n = -353 + a. Suppose 4*w + 2*j = -51 + 289, -2*j - n = -4*w. Is w a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 62 - (-549)\/(-15)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -10*g - 1. Let a be x(-1). Let f = 1793\/45 - 197\/5. What is the common denominator of f and (-7)\/a*(-3)\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7822 take away -0.2?\nAnswer: -2.5822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - 3*o**2 - 3*o. Let c(f) = -f**3 + f**2 + f. Let q(m) = m + 7. Let n be q(-5). Suppose -3*w + 7 = -n. What is w*c(y) + u(y)?\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/21)\/(((-9)\/(-5))\/(4704\/(-320)))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64422572 to the nearest integer?\nAnswer: 8026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*x - 163*x - 91*x.\nAnswer: -289*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 6 + 26 = u, 0 = 3*p + 2*u - 22. Let c(y) = 1 - p + y + 0. Let m be c(4). Is m less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16223 - -93265949.\nAnswer: 93282172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 540 = 3*c. Let d = 310 - 160. Let r be (-182)\/(-15) + (-20)\/d. Calculate the greatest common factor of c and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -101, -5, -496 in increasing order.\nAnswer: -496, -101, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2310.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5870 by -2935.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 124 + -618\/5. Let l = -14 - -13.7. What is the third smallest value in l, -1\/10, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1 (b) -5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 10:45 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**3\/6 + 7*l**2\/2 - 22*l. Let i be u(5). Solve i*m = -m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**4\/4 + 141*c**3 + 59643*c**2\/2 - 267*c. Factor u(l).\nAnswer: 3*(l + 141)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o - 6. What is g(-32)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 38 = 66. Let c = v + 44. Calculate the remainder when (-4)\/(-36)*-2 - (-8622)\/162 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 28 = 2*b + 3*a, -2*b + 5*a = -25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 283 - 278. Suppose k*d = -4*y + 438, 3*d - y - 4*y = 285. Which is bigger: d or 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 4*c + 3*d - 3627, 0 = 2*c + 4*d - 1826. List the prime factors of c.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -74*x**3 - 3*x**2 + 3*x + 42. Let z(u) = 74*u**3 + 3*u**2 - 3*u - 28. What is -2*w(h) - 3*z(h)?\nAnswer: -74*h**3 - 3*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 157 + 149 = -5*f, -6 = 3*g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*d**3 - 3*d**2 + 0 - 18*d**3 + 4 - 5 in the form v*d**3 + p*d**2 + s*d + n and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.416 + 0.726. Let i = 0.645 + k. Sort 0, i, 1, -5 in decreasing order.\nAnswer: 1, 0, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 116, 223, 362, 539, 760, 1031, 1358, 1747?\n\"Answer: b**3 + 10*b**2 + 70*b + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 3*h - 8. Let v be z(7). Suppose -4*g - 2*f - 158 = 0, 26 + 3 = -g + 3*f. Let i = v - g. Solve -w = i*w - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59089 and 7363?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*f - 708 = -718, 25 = 6*q - 5*f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28534185 is divided by 151.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 0.04?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148066056 and 1020.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 6 (c) -1\/4 (d) -7\/8 (e) 16\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -13*t**2 - t - 3. Let p(b) = -b**3 - 26*b**2 - 3*b - 7. Give -5*c(s) + 2*p(s).\nAnswer: -2*s**3 + 13*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010111100 - 100?\nAnswer: 110010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 968.\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9))**41 assuming r is positive.\nAnswer: r**(-82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*q**2 + 94*q**3 - 162*q**2 - 76*q**3 - 19*q**3.\nAnswer: -q**3 - 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - a + 3)*(-44 - 73 - 11)*(2*a + a - a) to the form h*a + z + y*a**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 17 - -4) + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -237\/13, -0.8, 1\/4 in increasing order.\nAnswer: -237\/13, -0.8, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 - 5*f**2. Let k(r) = -12*r**3 - 24*r**2 + 291*r. Give 5*a(d) - k(d).\nAnswer: 2*d**3 - d**2 - 291*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + (-50 - -47 - (1 + -9)) + (-2 - 1)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nfabc. Give prob of sequence nabc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 1. Let p = q - -2. Let 0*h**4 + h**4 + 1 + p*h**2 - 2*h**2 - 2*h**3 + h**5 + h = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 18 = 4*q - 16, -t - 10 = -4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 396.8 + -385. Let v = -14.525 - -26.402. Let d = f - v. Round d to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.919 - 50.619. Let m = p + 60. Round m to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 825.6493 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -453?\nAnswer: -5\/453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29715, 29697, 29691, 29697, 29715, 29745?\nAnswer: 29787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 3:33 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c + 2*c**2 - 7*c + 4*c - 3*c + 0*c**2.\nAnswer: 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 978, 0.1, 2\/3, 4\/3, -0.5 in ascending order.\nAnswer: -0.5, 0.1, 2\/3, 4\/3, 978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4476, -35777, -120734, -286179, -558944, -965861, -1533762, -2289479?\nAnswer: -3259844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91207*f - 53492*f + 25865*f.\nAnswer: -118834*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-22))\/((-1)\/(-2)). Let y = 11\/70 + 1\/105. What is the nearest to -1 in p, y, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -25*r**2 + 5*r. Let q(m) = 87*m**2 - 18*m. Give -18*p(b) - 5*q(b).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. What is the fourth smallest value in v, 2, -2\/5, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29.5875ns?\nAnswer: 0.000000000493125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 391*s**2. Let b(v) = -v**2. Calculate b(o(g)).\nAnswer: -152881*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyflyihihiyi. What is prob of picking 1 l and 1 i?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6857\/120 + 288\/5. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*r - 131*r + 2 + 221*r - 42*r.\nAnswer: 10*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24763428 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.6623 + -0.3623. Put o, 3, -6\/7, 1 in descending order.\nAnswer: 3, o, 1, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*x = x - 3, -h - 3 = x. Suppose h = -0*p - p + 39. Calculate the highest common factor of 26 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-162)\/(-30) - (2 + 0)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9268 is divided by 244?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/(-14)*1\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 2:37 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.248052514 to three dps.\nAnswer: -1.248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/22 and -91\/55836.\nAnswer: 55836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2 - 6. Suppose 0 = -d + 3*d. Let r be -7 - (-2 - d) - -2. Put f, -5, r in ascending order.\nAnswer: -5, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -271*p - 67753. What is h(-250)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -112111 (base 3) in base 10?\nAnswer: -391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 57*m. Let s(g) = 1019998*g**2. Calculate n(s(z)).\nAnswer: 58139886*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2. Let j(l) be the third derivative of 0*l**4 - 37\/60*l**5 + 0 - 30*l**2 + 0*l**3 + 0*l. Determine j(b(a)).\nAnswer: -37*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**3 - h**2 - h - 1. Let o be s(-2). Let y = -215\/6 - o. Sort 2\/3, 1\/4, y in decreasing order.\nAnswer: 2\/3, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 8:18 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/10 (b) 3\/5 (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -29*g + 5. Let s be c(-7). Suppose -s = -w + i + 16, 5*w - 3*i = 1122. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*3*4\/30. Let n be 0 - -1 - h - 1. Suppose 5*f - 2 = -n*v, -2*f - 5*v - 6 = 10. Solve j + 3*m = -f*m - 18, -4*j - 2*m = 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3549, 13862, 30995, 54924, 85625, 123074, 167247, 218120?\nAnswer: 275669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 341.6? (a) -1\/7 (b) 1\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7560644 and 1078?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*k + 309*k - 477 = 150*k + 1915 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.17 or -1.2424?\nAnswer: -1.2424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + 6*1*sqrt(152) + sqrt(152) + sqrt(152))*-4)\/(4*(sqrt(32) - sqrt(8)) - sqrt(128)*-5).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/1258 and 1\/11985.\nAnswer: 886890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1013212 (base 4) to base 3\nAnswer: -20021201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxxffwtb. What is prob of sequence tw?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppyypyypy. Give prob of sequence yyy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 14900502 = 21*u. Let z = u - -26200502. Round z to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1396022, -1395977, -1395932, -1395887, -1395842, -1395797?\n\"Answer: 45*h - 1396067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**6\/40 - o**5\/20 + o**4\/4 - o**2 - 4. Factor g(i).\nAnswer: -3*i*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -94\/3 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (212 + 240 - 149 + p)*(0 - 1 + 3*p + 5*p).\nAnswer: 8*p**2 + 2423*p - 303","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -265 - -263. Let c be (2 - 2)\/((-1)\/(n\/4)). Solve -x - 4*x + 15 = c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130.6 + -131. Let m = -2 + 3. Which is the second smallest value? (a) n (b) 9 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 17*q**2 - 3086*q - 4586. Determine d(183).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 11. Let d(s) = 1. Let f(g) = 40*d(g) - 5*n(g). Suppose 23 + 43 = -11*x. What is the least common multiple of 2 and f(x)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 3\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -862152, -1724810, -2587468, -3450126?\n\"Answer: -862658*v + 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-33)*q\/(q\/(q*q**(-22)*q*q)*q))\/((q\/(q\/q**(-2)))\/(q**(-36)\/q)) assuming q is positive.\nAnswer: q**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -1 (b) -3 (c) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116 - 110. Let q be (-1372)\/(-42) - 3*a\/27. Is 7 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 14*n - 30. Let o be t(16). Let g = 0 + 2. Factor 3*l**o + 9*l - 8*l**2 + l**g - 2.\nAnswer: -(l - 2)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 2*l**2 - 2*l - 3. Suppose 5*m + 11 - 36 = 0. Is a(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55330 (base 13) to base 6.\nAnswer: 3150304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1875*k + 292472. What is t(-156)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from {x: 5, w: 8, q: 1, i: 4}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 62 = 78. Suppose 0*y - 2*b + 16 = 3*y, k*y - 5*b = 6. Let p = 6 + -1. Solve l - y*i = 11, l = 2*i - i + p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.2. Let g = f + 0.2. Let d = 2605 + -2603. Which is the third biggest value? (a) -4\/7 (b) d (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 2*d - 2*d)*(-2*d + 0*d + 4*d) + d**2 + 5*d - 5*d.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3242726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -5*r**6\/2 - 2*r**5 + 5*r**4\/4 + 60. Factor b(y).\nAnswer: -5*y**3*(y + 1)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -6*p + 1120. Suppose p = -5*j + 137. Solve j*h + 10 = 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72014.22kg to grams.\nAnswer: 72014220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**2\/19 + 237396*l\/19 - 7044607602\/19 = 0.\nAnswer: 59349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 65 = -8*s - y, -4*s + 62 = 2*y. Let k = -8 - -13. Calculate the smallest common multiple of k and s.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i. Let q(p) = 23*p**3 - 4*p**2 - 4*p - 3. Let l(g) = -q(g) + 2*u(g). Is l(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 - 49 - 60)*(3*y - 4*y + 0*y) to j*y + r and give j.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15368cc6 + -3?\nAnswer: 15368cc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 562 and 3.37?\nAnswer: 1893.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1141*a**3*f**3 + 33*a**3 + 15*a**2*f**2 - a*f**3 wrt f?\nAnswer: 6846*a**3 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3138302572.99999897 - -3138302464. Let h = -17.6 - 91.4. Let o = h - z. Round o to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 715 - 716. Which is bigger: d or 6\/757?\nAnswer: 6\/757","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2628*q**2 - 7774*q**2 + 2517*q**2 + 2633*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100221210102 + 2?\nAnswer: 100221210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3)*q)**(-48)*(((q\/((q\/(q**(1\/5)*q))\/q))\/q)\/q)\/q**6 assuming q is positive.\nAnswer: q**(-429\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a + -16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -37945, -76849, -115753, -154657?\n\"Answer: -38904*p + 959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -n + 5. Let c = -19 - n. Suppose -u + 0 = -c. Calculate the remainder when 29 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4684 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 1. Let a(b) = b + 4. Calculate a(u) - 6*t(u).\nAnswer: 6*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2309, -4629, -6959, -9299, -11649?\n\"Answer: -5*y**2 - 2305*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 14*b + 2. Let p be n(14). Suppose -2*u + 47 - 11 = 0. Solve 3*h + p = -5*s, 3*s - u = h + 2*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1551932 divided by -4?\nAnswer: -387983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**7\/1960 - 3*t**6\/280 - 3*t**5\/56 - t**4\/8 + 8*t**3 - 124*t**2. Let k(q) be the first derivative of i(q). Factor k(l).\nAnswer: -3*(l + 1)**2*(l + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.12147, 4 in ascending order.\nAnswer: -0.12147, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -1\/12 (b) 3\/4 (c) 3 (d) 946 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*u + 2*u. Suppose -u*z - z + 9 = 3*a, -4*z + 4*a = -4. Solve 3*y + z = -7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*r**2 + 5*r + 11 + 5*r**2 - 5*r wrt r?\nAnswer: 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 0.4 (c) 2 (d) 93 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**4\/42 + 5*v**3\/21 - 6*v + 43. Let t(w) be the first derivative of q(w). Factor t(b).\nAnswer: 2*b*(b + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31191631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 45 = -5*w, -4*w + 5*l = -37 + 1. What is the highest common factor of 45 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n - 22. Give w(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -120*(65\/20 - 3)*-6?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = i - 5*v + 7, 8 = 4*i - 4*v. Suppose 4*h + i*h = 24. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 1:25 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -25*j**3 + 3*j - 2. Calculate r(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.18 and 52?\nAnswer: -61.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -b5a5 (base 14) to base 10\nAnswer: -31309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-20)\/z)\/(z*z\/(z**(-29)\/z)) assuming z is positive.\nAnswer: z**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6*(-6)\/(-8))\/((-25)\/(-450)). Let k = h + 125. Is k a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 13*b - 5. Let w(x) = 5 + 4*x - 18 + 28*x + 1. Let v = 23 + -11. Calculate v*a(g) - 5*w(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 213786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + 4 + sqrt(17)*-1) - (3*(-2*sqrt(68) + 1))**2.\nAnswer: -2412 + 67*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80948*h**6 - 6*h**2 - 13523.\nAnswer: 9713760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008504 to six dps.\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333 = m + 122. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6 - 4*u - 1 + 0*u**2 + 6*u**2 - u**3. Let n be g(5). Suppose -3*q = -2*q - n. Calculate the lowest common multiple of 2 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2.9. Let c = 8.34 - 8.2778. Let q = c - 4.0622. What is the nearest to -2\/5 in q, 0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 7*v = -396. Let l be (-8)\/10*90\/(-4). Let i be (0 - l)\/(9\/(-6)). What is the greatest common divisor of i and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -11*q**3 + 45*q**2 - 46*q + 415. What is c(5)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = 0, -5*u = 2*r - 0*r + 32. Let l be 4 + r + 750\/115. Are l and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + ((sqrt(1008) - sqrt(1008)*2)*5 - ((2*sqrt(1008) - sqrt(1008))*-4 - sqrt(1008)) - ((0 + sqrt(1008) - sqrt(1008)) + 1 + 1))**2 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 4*j**2 - 2*j - 6. Let n be b(-4). Let f(d) = -1. Let m(s) = -9*s - 1. Let i(l) = n*f(l) - m(l). What is the units digit of i(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from {f: 5, h: 1, d: 7, p: 6}.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -25 + 71 + -14.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1618 or 0?\nAnswer: -3\/1618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26941 - -26941.005425. What is v rounded to 5 dps?\nAnswer: 0.00543","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**4 + v**4 - 2*v**4)*(-3*v + 4*v + v) - 2*v**5 + 5*v**5 - 2*v**5 - 2*v**5 - 4*v**5 + 4*v**5.\nAnswer: 3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108\/13, -2, -5782 in descending order.\nAnswer: -2, -108\/13, -5782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 568740427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19440 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -29 - (-19 + 33 + -24).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 31. Let x be l\/13 - 1792\/(-182). Solve -2*v - 3*v - x = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from eeesessseeseee?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 16\/3*33\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/6)\/((-1)\/(-59076)). Let f(u) = 39384 - d - 6*u**2. Let n(s) be the third derivative of -s**5\/60 + 3*s**2. Determine -2*f(t) + 14*n(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 - 457 = -56*l - 49 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-18)\/(-6) - ((-2928)\/(-168) - 13)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 38104703 and 1055599.\nAnswer: 39160302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (75\/6 - 2)*(-16)\/(-12). Let q = 4 - p. Let d(v) = v**3 + 9*v**2 - 12*v - 6. What is the tens digit of d(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -16*t**2. Let f be 8\/40*35 + 6. Let d(i) = -f*i**2 - 14*i + i**2 - 13*i + 27*i. Give d(h(q)).\nAnswer: -3072*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3038 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by 7186\nAnswer: -37\/7186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 35*t**4\/24 + 11*t**3\/6 + 9*t**2\/2 + 17. Let k(j) be the second derivative of m(j). What is the tens digit of k(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 1. Let p = -16.7 + 16. Let v = -0.8 - p. Which is greater: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -181 and -1218213.\nAnswer: 220496553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h + 5*f + 32, -5*f + 32 = -2*h. Let a = -11 - h. Let k(z) = 6*z + 4. Let g(v) = 4*v + 3. What is a*k(s) - 7*g(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 468?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**8*i**8*i\/(i**(-1\/3)*i*i*i)*i*i*i**7 assuming i is positive.\nAnswer: i**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 - -0.7. Let w = -2187 + 2186.88. What is the nearest to -2 in -1, t, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -579 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -931.43 and 2.3.\nAnswer: -2142.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17192881 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*r - r**3 + 1 + 13*r + 3*r**3 - 9*r in the form x*r**2 + p + w*r**3 + l*r and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/((-418)\/(-22)))\/(-14)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1579 divided by 31?\nAnswer: -1579\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 - -9 - 1\/3. Let h = -19.9 - -20. Let s = 0 - h. Which is the closest to -1? (a) 0.5 (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2098382)\/(-320892) + (-4)\/102?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - ((-6)\/8 + 217\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.25 - -2.25. What is the third smallest value in -1, l, 3, -3\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/4059 - -4067\/16236. Which is the nearest to 9? (a) 0 (b) k (c) -5 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413 (base 7) in base 11?\nAnswer: 45a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4609018 divided by 12\nAnswer: -2304509\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2121*g**2 - 12721*g - 30.\nAnswer: (g - 6)*(2121*g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**7\/35 - w**4\/4 - w**2. What is the second derivative of m(j) wrt j?\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 53246601*l + 53246601*l - 7573*l**2 as d*l**2 + h + g*l and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -15?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 13*p**2 - 13*p + 14. Let g be m(8). Suppose 16*o - g = 2*o. List the prime factors of o.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/30 - 4455\/450\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (29 + 1)*-1*(-2434686)\/9. Suppose 30*c + 53115620 = z. Round c to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3273550 and 5922?\nAnswer: 29461950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 14*c + 1126. Let k be w(-80). Solve -k*a - 66 = -84 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*w + 147 = 0, 2*r = w + 133 + 10. Let y be (r\/12)\/((-6)\/(-4)). Which is the third smallest value? (a) 2 (b) y (c) -0.1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from cnlic?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 6. Let r = 3.2 - 0.2. Let a = -2 + r. What is the closest to -0.2 in a, c, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/40 and -55\/16255604.\nAnswer: 162556040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 266 and -18.34?\nAnswer: -4878.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 2. Let f = 0 + -3. Let y be v(f). Let h be (2\/8)\/((-3)\/y). Is -0.2 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (6 - 94) + 3 + 30.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((13 - 13 - 3*y)*(-3*y**2 + 37*y**2 + 85*y**2) - y**2 + y**2 - 2*y**3)*(3*y - 3*y - y) as z*y**4 + i*y + n*y**3 + k*y**2 + b and give z.\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14044 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 5) + (4 - -1). Suppose -5*i = -4*h + 227, k*h + 0*i - 176 = -2*i. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m - 7. Let z(s) = 4*s + 8. Calculate -3*x(l) - 2*z(l).\nAnswer: l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 e when three letters picked without replacement from {w: 3, e: 2, g: 1, r: 4, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-15)*-10*9\/18*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/165 - 1\/(11\/(-57)). Let a(l) be the first derivative of -1\/4*l**4 + 2\/9*l**3 + 0*l + 0*l**2 + 3 + 1\/15*l**d. Factor a(i).\nAnswer: i**2*(i - 2)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150880 and 15320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/107940 and -133\/6168?\nAnswer: 215880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26400 + 26400.00058016. Round g to 5 decimal places.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/7))**(7\/2)*q**(-2\/7)*q**(5\/4)\/q*q*q assuming q is positive.\nAnswer: q**(83\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.8 - -22.2. What is the third smallest value in w, -2\/9, 1\/6, 7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqcwvaa. What is prob of sequence vaww?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.88467 milligrams to nanograms.\nAnswer: 6884670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.7 - -7. Let i = 0.005 - -24.995. Let u = 22 - i. Which is the closest to -1\/2? (a) m (b) u (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 117*d + 1. Let o(j) = -117*j - 1. Calculate 6*o(w) + 5*v(w).\nAnswer: -117*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9244, 0.3, -0.36?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - 712. Let i = f + 814. What is the highest common factor of i and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3 + 1 - f + 2. Suppose 2*g + 3*g = 25. Suppose -3*u - 1 + 20 = 5*x, -g*x + 3*u + 31 = 0. What is z(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1782*d - 1503*d - 5022 = 0 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6444 = -95*a + 83*a. Suppose 8*n - 4*n - a = -3*x, -5*n + 5*x + 715 = 0. Calculate the least common multiple of 15 and n.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 15*u + 139. Let h be v(-9). Let k be -7 - h\/(180\/(-313)). Sort 1\/7, k, 1 in descending order.\nAnswer: 1, 1\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -53*f**3 - 58*f**3 + 5*f + 106*f**3 - 2*f**2 + 2.\nAnswer: -(f - 1)*(f + 1)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 7*r**2 - 18*r - 16. Give u(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/2*(-8 - 8 - -2). Let b = z - -110. Solve 3*w - 4 - b = -c, 2*w + 1 = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 - 538*z\/5 + 108.\nAnswer: -2*(z - 1)*(z + 270)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/29 (b) -1\/2 (c) -0.03 (d) -3\/5 (e) -5 (f) 10\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - sqrt(252)*-1)\/(sqrt(256) + sqrt(256)*2)*-3.\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 8) + (1\/(-6))\/((-40)\/(-312)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 76, 77, 88, 115, 164, 241?\n\"Answer: c**3 - c**2 - 3*c + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 5. Suppose 2*b + 5 - 13 = u. Solve 4*x - o = -20, -b = -2*x - 3*o - 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -346 - -4500\/13. Is 1 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 0) + 11 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = -54*q + 58*q - 17*u, -16*q - 60 = 4*u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(675\/(-36))*15\/24?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 154 + 0\/((-4)\/1). Suppose -t + 3*t = -j. What is t rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**3 - 2*d**2 - 2*d - 6. Let t be -4*((-14)\/4 + 3) + -6. What are the prime factors of j(t)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 987707784 to the nearest 1000000.\nAnswer: 988000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 19*z**2 - 39*z - 7. Determine u(17).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2996, 5821, 8480, 10979, 13324, 15521, 17576?\n\"Answer: i**3 - 89*i**2 + 3085*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8109 * 39785.\nAnswer: -322616565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 279090*n + 3894561405.\nAnswer: 5*(n - 27909)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -147, -119, -67, 15, 133, 293, 501, 763?\n\"Answer: i**3 + 6*i**2 + 3*i - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n - 430. Suppose 2*q = n + 118. Is 25 a factor of 0\/1 + (q - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + q = 3*s + 1, -s + 21 = -3*q. Let n(x) = -x + 2. Calculate the smallest common multiple of s and n(-12).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5945.3 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**2 - 9*w - 8. Let i(b) = b**2 - 2*b - 1. What is -5*i(q) + j(q)?\nAnswer: 2*q**2 + q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 6. Suppose -27 + 9 = -6*q. Suppose i - q*c + 6 = -0*i, 0 = -3*i - 5*c + n. Solve 10 + i = 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4971b (base 15) to base 3.\nAnswer: -102220122022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 12:53 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.968528t?\nAnswer: 1968528000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52998677 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**4 - 26745*f**3 + 1021930*f**2 - 8623200*f - 21548000 = 0. What is f?\nAnswer: -5387, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 215 + -201. Round n to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 - 51*h - 22. Determine l(19).\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 23 = 4*h. Let w be h*(-4)\/110 + (-6)\/33. Suppose -5*p + n + 297 = w, p - 2*p + 69 = -5*n. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 3*o - 5*o)*(6 + 5*o - 6 - 4*o + 7 - 7 + (-3 + 5 - 3)*(-2*o + 1 - 1))*(-1 + o + 1) to the form f*o + u*o**2 + q*o**3 + h and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4531276 and 326251872.\nAnswer: 326251872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 0)*(-y**2 + 2*y**2 - 2*y**2) + y**2 + 2*y**2 + y**2)*(-146 - 138 + 287)*(2*y**3 - 5*y**3 + y**3) - 2*y**5 - y**5 + 2*y**5.\nAnswer: -19*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 787.1319 micrometers to nanometers.\nAnswer: 787131.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*q + 42865140 - 42865140.\nAnswer: -91*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1682, -1705, -1728, -1751, -1774?\nAnswer: -1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*m + 6. Suppose y = 5*t - 55 - m, 24 = 2*t + 2*y. Calculate the lowest common multiple of t and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3725 and 141.1.\nAnswer: -52.55975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 7 = -4*l, -12*p = -l - 13*p + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8084216g to nanograms.\nAnswer: 808421600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 5231*r**2 - 5614*r**2 + 3 to p + h*r**2 + z*r and give h.\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v + 10 = 0. Suppose -4*o + 16 = v*y, -5*y + 3*o - 8 = o. Let b = 5 - 7. Put 5, b, y in decreasing order.\nAnswer: 5, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1619*a. Let g(n) be the third derivative of n**4\/12 + 1009*n**2. Give g(f(h)).\nAnswer: 3238*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/20 - 0)\/((-5)\/1400). Let j = x - -116. Solve 0 = -j*i + 6*i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1, 0.13, 5 in increasing order.\nAnswer: -1, 0.13, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*j - 12. Let s be 6\/(-5)*(-20)\/6. Let c = j - s. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 8*r**2. Let k be f(8). Let u(p) be the first derivative of -1\/24*p**6 + 0*p**3 + k*p**2 + 1 + 0*p - 1\/20*p**5 + 0*p**4. Factor u(h).\nAnswer: -h**4*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmlmmmlmmmmmmmmlmmm. What is prob of picking 2 l?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3717705?\nAnswer: 3, 5, 247847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**6\/105 - 117*c**5\/35 + 4563*c**4\/14 + 901*c - 1. Factor l(z).\nAnswer: 2*z**2*(z - 117)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 14*h + 46. Let b be w(-17). Let s be (2 + -2 + 1)*2. Suppose 4*x - s = 2. Sort x, 4, b in increasing order.\nAnswer: b, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: (12488\/(-51513))\/((-228)\/11)\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 3)*-2 - -2. Suppose 28 = -p*f + 4*f. Suppose 0 = 3*b - 14*b + 121. Calculate the least common multiple of f and b.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 71 (b) 151 (c) 3 (d) -40 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24748, 49483, 74232, 99001, 123796, 148623?\nAnswer: 173488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 6. Let t(z) = z + 11. Let r(j) = -5*m(j) + 3*t(j). Let q be r(7). Let b = 15 + q. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 177 and 767?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*u = -0*a + 41947, -3*u + 41949 = 4*a. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, l: 1, w: 3, q: 2, k: 1}. Give prob of sequence wyyy.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Put -2, k, -5 in descending order.\nAnswer: k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*v**3 + 48*v**2 - 68*v - 80.\nAnswer: 4*(v + 1)*(3*v - 4)*(3*v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 12 - 39 - 3435*f + 12.\nAnswer: -3435*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**3 - 5*s**2 - 4*s + 2. Let n(f) = -13*f**3 - 11*f**2 - 9*f + 4. What is 3*n(x) - 7*u(x)?\nAnswer: 3*x**3 + 2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4 - 3) + 3 + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 0*o**2 + 5\/3*o**4 + 0 + 5\/6*o**3 + 2\/3*o**6 + 5\/42*o**7 - 4*o + 3\/2*o**5. Suppose b(l) = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 - -0.1. Let z = -0.5 - -0.4. Sort z, u, -1\/2 in increasing order.\nAnswer: u, -1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -1 (c) -4 (d) 0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (5 - (5 - -4 - 4) - -5)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*r**2 - 6 - 2*r - 5 - 5 - 4 + 16 in the form h*r + z + w*r**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 109044 and 3725670?\nAnswer: 22354020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (14 - 6) + 4 + (4 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.0655 - -0.0655. What is the fourth smallest value in t, -2\/7, 1\/4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 + 203*r**2 + 156*r - 5472. What is x(102)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (9 - 4) + -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t = 8. Suppose 0*v = -t*v + 4. Solve -5*m - 6 = -v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13886 and 76373.\nAnswer: 152746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 1, x: 1, o: 1, g: 1, a: 2}. Give prob of picking 1 u and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v. Let f(q) = q + 2. Let a(l) be the third derivative of -l**4\/6 - 7*l**3\/6 + 3*l**2. Let o(u) = 2*a(u) + 7*f(u). Determine o(z(p)).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7833008?\nAnswer: 2, 79, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4867 + 4865. Put 5, p, 10, -32 in decreasing order.\nAnswer: 10, 5, p, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 115869476?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o - 33. Let t be k(3). List the prime factors of (t\/((-12)\/(-206)))\/(10\/(-100)).\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120007 at least 1560076\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 17*g**2 + 2*g - 3*g**2 + 2*g + 10*g**4 - 12*g. Let t(l) = l**2 - l. Let j(u) = -a(u) + 8*t(u). Find the third derivative of j(f) wrt f.\nAnswer: -240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40781?\nAnswer: 13, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - (0 + -4)) + 1 + 2. Let d = 4 - -1. Let p = d - k. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - -20. Let d be (6\/7)\/((-7)\/n). Let i(x) = -2*x - 5. Determine i(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -25. Let b be (-19)\/r + (-8)\/10. Find the third derivative of -a**2 - 54*a**3 + 6*a**5 + 24*a**b + 30*a**3 wrt a.\nAnswer: 360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*h - 19, 4*p + 1 = -h + 11. Let f(d) = 10 - h*d - d**2 + 6*d**2 - 17 - 3*d**2. What is f(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s. Let h(n) = 31741192*n. What is v(h(w))?\nAnswer: 126964768*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-4)\/24)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33226, 66449, 99664, 132871?\nAnswer: 166070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.31, -151, -0.2, 1\/4, -4, -2 in increasing order.\nAnswer: -151, -4, -2, -0.31, -0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 16) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - 52. Suppose -d + 34799996 = 4*j + 3*d, -d - s = 0. What is j rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, r: 6, t: 1, u: 2, g: 7}. What is prob of picking 2 g and 1 t?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/2 + (-8448)\/(-1312). Which is greater: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-2)*4\/5. Let w be (1 + -1)*(-2)\/(-2). Solve n = -m - w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 325 + 183?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 975 - 970. Suppose h*q - 14 - 3 = 4*v, 4*v + 12 = 4*q. Solve v + 4 = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4))**26\/(s**2*s*s\/(((s*s**(-7)*s*s)\/s)\/s*s*s)) assuming s is positive.\nAnswer: s**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1160, -3648, -7442, -12542, -18948, -26660?\n\"Answer: -653*k**2 - 529*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3930*b - 112004 - 49126 = 0 for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q**2 - 9*q - 53. Let m(k) = -2*k**2 - 4*k - 27. What is -9*m(d) + 4*o(d)?\nAnswer: -2*d**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.04796*66.\nAnswer: -135.16536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r - 42. Let m be s(11). Let x(z) = 100*z + 20. Let h be x(m). Let l = h - -1731. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4.5. Let g = -0.6 - q. What is the closest to g in 3, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3. Let g(b) be the second derivative of -b**5\/4 + 2*b. Suppose 3*k - 9 = 4*k - i, -5*k - 37 = 3*i. What is k*u(q) + 3*g(q)?\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {x: 1, q: 8, g: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = -13*b + 10*b. Let l(g) = g**2 + 9*g + 8. Let q be l(-8). Suppose q = 9*o - 243 - 81. What is the greatest common divisor of o and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2 + 3*l + 4. Suppose -2*i - 5*u = 1, 2*i = 3*i + 5*u + 3. Suppose 3 = 3*o + i*j - 0*j, o + 3*j = -6. Is v(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1.8 (b) 5813.2 (c) 16 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 3*c - 2*c)*(-2 + 8 + 0) + 2 - 2 - c + 2*c - 4*c + c + (2*c - c + c)*(-3 + 3 - 2) - 2*c - 2 + 2.\nAnswer: -62*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 329139163, 329139147, 329139119, 329139073, 329139003, 329138903, 329138767, 329138589?\nAnswer: 329138363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/110)\/(((-72)\/(-9))\/(-40)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -38\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -513.71 and 0.4?\nAnswer: 514.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(180)*1)**2 + ((0 + (sqrt(100)\/sqrt(2))\/sqrt(10))*-6)**2.\nAnswer: -12*sqrt(5) + 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -202032 (base 4) to base 8\nAnswer: -4216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 6:32 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4, -20 = g - a - 3*a. Let d = -5 - g. Does 6 divide 2 + ((-4)\/d - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 15*h + 7. Let i be s(14). Suppose -32 = 5*m + 43. Let g = i + m. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -639.17 and -51.321.\nAnswer: -690.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = l - 4*v - 13, -5*v = 3*l + 14. Suppose -19 = d - 4*j, 2*d = -l*j + 10 + 2. Is (d\/(-2))\/(4\/(-296)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -a56187?\nAnswer: a56184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sps when three letters picked without replacement from {s: 9, p: 3}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8\/13 (b) 4\/9 (c) -5 (d) 3 (e) 89 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)*k\/(k\/(k\/((k\/k**10*k)\/k)))*(((k\/((k**33*k*k)\/k))\/k)\/k)\/k**(-30) assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i - 5*i + 5*i + 9 + 2*i. Calculate the remainder when 46 is divided by g(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(27\/4)\/(i**(-1))**9 assuming i is positive.\nAnswer: i**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 6 + 7*q**2 - 9.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 46. Suppose 3*c = 15, 4*c - i = -5*x - 0*x. Suppose -6*k + 18 = -x*k. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3695.\nAnswer: 5, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -6432.456 greater than or equal to -1\/127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -481 - -478. Which is the fourth smallest value? (a) i (b) 5 (c) -4 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (-3451)\/(-187) - 298\/22?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -197\/5, 1\/14?\nAnswer: -197\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 14*g**3 + 4*g**2 - 54*g + 8. Let k(x) = -4*x**3 - x**2 - x - 2. Give 12*k(n) + 3*q(n).\nAnswer: -6*n**3 - 174*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98d82 (base 14) in base 15?\nAnswer: 74b08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*a + 3 + 16, 5*s = 5*a + 70. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 0 + 0*w**4 + 0*w - 2*w**2 + 0*w**5 + 1\/40*w**6 + 1\/2*w**3. Differentiate b(z) wrt z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -g + 36. Let t = 17 - g. Suppose -79 = -5*p + 3*v, 16 = 2*p + t*v - v. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -695*x - 3312 + 969*x + 1659*x + 369 + 1765*x with respect to x.\nAnswer: 3698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2847 + 2)\/((-10)\/(-160)*-4). What is u rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6526 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 50 + 50)*(1 + 0 + 2)*((-8*d + 0*d + 0*d)*(0 + 0 + 1) + 3*d - 5*d + d + (-d + 0*d + 0*d)*(-2 + 3 + 0)).\nAnswer: -90*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 19 = 4*m - 4*h, 22 = 5*m + 3*h. Which is the third smallest value? (a) 0.3 (b) m (c) 1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129230 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 10*u + 5. Let q be v(-9). Let d be (q\/22)\/(1\/(-2)). Let g = d + 22. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 12*v = 8228. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 965.\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 - 14 = 15*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 742989.4 centuries to decades.\nAnswer: 7429894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n + 18. Give h(17).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**2 - 339720*i + 50046885 = 0.\nAnswer: -68091, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -5*l + 3*l. Let w = 40 - l. Is w less than or equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 7*v**2 - 6*v - 13. What is the first derivative of o(h) wrt h?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 15) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3*b + 5*b - 4*b)*(-3 + 3 + 13) to the form v*b + x and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -503 and -438.2?\nAnswer: 64.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 91368 times 26\nAnswer: 2375568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**5\/20 + a**4\/2 + a**3\/2 - 4*a**2 - 9*a + 2. Determine s(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2)*(-41427)\/(-12). Let w = v - 1724. Find the common denominator of w and -12\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0.11247220918553\nAnswer: 3.11247220918553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14430, -14503, -14576, -14649?\nAnswer: -14722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + g**3 - 2*g**2 + g**3 + 2. Suppose -25 = -2*s - u, 6*u + 15 = 3*s + 3*u. Let m(b) = -7*b**3 + 5*b**2 - 5. Give s*o(t) + 4*m(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/3 - 6\/1*-1. Let b(u) be the second derivative of u**3\/6 + u**2\/2 + 2*u. Let x be b(2). Solve -5*j + 3 = -x*t - j, -4*j - k = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 12 = w - 4*o, 4*w + 26 = -3*o. Let i be (7\/(-4) - -1)*w. Let q be (-1 - (-15)\/25)*-5. Solve 20 = -q*z + i*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 90*o + 1 - 3.\nAnswer: 90*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 r when two letters picked without replacement from yyyrfrrrqryrr?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 c when three letters picked without replacement from sccossc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*p + 24064 = 2310*p - 1010*p + 1315*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136288960 divided by 4259030?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 + 65 = 4*m. Suppose 4*k - m = -5*r, -38 = -5*k + r - 3*r. Calculate the smallest common multiple of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*y - 30, -l + 4 - 7 = 0. What is the least common multiple of 28 and y?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j. Let x = 8 + j. Let w = 2 + x. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 249838592 divided by -3628\nAnswer: -68864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 138857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/22 - 217\/77) + (-1222)\/(-376). Let d be (-16)\/(-12) - (-1)\/(-3). Solve d + b*v**2 - v = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2333 - -4525. List the prime factors of h.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 3. Let p be d(3). Suppose -7 = -5*g + t + 11, -3*g - t + p = 0. Solve -5 - 10 = g*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3)\/o)**(-9\/7)*(o\/(o**(-2\/19)\/o*o*o))\/o**1)**(-33) assuming o is positive.\nAnswer: o**(165\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3083 = j + g, -j + 2*j + 5*g = 3063. Let z = j - 2090. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -2838, -3, 2 in decreasing order.\nAnswer: 5, 2, -3, -5, -2838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13244664 + -13?\nAnswer: 13244651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert c19231 (base 16) to base 8.\nAnswer: 60311061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 8*j + 24 = 0. Which is the third smallest value? (a) -0.5 (b) 70 (c) 0.2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/649522329 or 1?\nAnswer: 2\/649522329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -38012 (base 15) in base 14?\nAnswer: -492a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert a3 (base 11) to base 12.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 353571446 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 - 271*r + 336. Let m be y(-53). Calculate the highest common divisor of 256 and m.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 722 - 721.703. Let y = v - -0.003. Which is the third biggest value? (a) -3\/8 (b) y (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/7, 2974\/7, -2, -0.1 in increasing order.\nAnswer: -2, -1\/7, -0.1, 5, 2974\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.5 and 1.651?\nAnswer: 7.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*u - 33 - 2, u - 16 = -4*x. Suppose y - 5*o - 71 = 0, 0*o = 5*y + x*o - 243. Let h = -54 + y. Let i(t) = -t**3 - 4*t**2 - 3*t. Determine i(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z + 100. Let u be (-13)\/(-117) + (-37)\/9 - 29. Let w be k(u). Put -5, w, 19 in decreasing order.\nAnswer: 19, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80.131 + 0.131. Let o = 80.3 + i. Which is the nearest to -1? (a) o (b) 59 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0 + (-3 + 8 - 2)*(2 - 6 + 2))*(2916*f - 1212*f - 1230*f - 1305*f).\nAnswer: 3324*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 2, g: 1, m: 3, r: 5, d: 1}. What is prob of sequence gg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310 (base 4) in base 9?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from suosssoousu?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(33) + (sqrt(165)\/sqrt(5)*5 - sqrt(33)))\/sqrt(11).\nAnswer: 1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 6*p**2 - 7*p + 4. Let h be c(4). Suppose h + 5 = i. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (115 - 9) + -73.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 13*r**3 + 4*r**2 + r - 9. Calculate the remainder when d(3) is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzooybsbbbbbzbobzb. Give prob of sequence bs.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 246362277 + 16?\nAnswer: 246362315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*a + 276*a + 54 = 10*i, 2*i - 115 = -a - 97 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + -118*(-10)\/380. Which is the nearest to 1\/7? (a) u (b) 0.1 (c) -1\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -606759871*v**2 - 476702488 with respect to v.\nAnswer: -1213519742*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.619897 and 0.5?\nAnswer: 2.3099485","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -560*m*s**3 - m*s**2 - 3*m*s - 4*m + 153*s**3 + 80*s + 22 wrt s.\nAnswer: -3360*m + 918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by -50085\nAnswer: 38\/50085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/35 bigger than 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 - 216*d**2 + 8*d + 871. Calculate u(-108).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 200983 + -137352. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 10) to base 13.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -13, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = 5418*k - 5438*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 9. Let v be b(0). What is the units digit of 2 + 3*v\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + -1b24?\nAnswer: -1b2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15402 + -8827. Does 135 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8960454?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 + -87. Suppose -97 = -n*y + g, -y - 3*g + 5*g + 44 = 0. What is the remainder when y is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (143 + -176 - -44) + (1 - -90)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16854*c**2 - 68216*c - 52968.\nAnswer: 2*(3*c + 2)*(2809*c - 13242)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 - z**3 + z**3 + (-4*z**3 - 13*z**3 + 0*z**3)*(3 - 2 - 2).\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5327 divided by 6\nAnswer: -5327\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -9*x - 4*x + 8*x - x**2 + 2 + 0. Let t be g(-6). Let f(b) = b**3 + 2*b**2 - 3*b + 4. Calculate f(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*j - 2919, -j + 753 + 704 = 2*x. Calculate the highest common factor of 108 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4028\/(-10070))\/((24\/10)\/3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1\/v)**29\/(v*v**(1\/2)*v)**35*v*v**4*(v*v**5)\/v*(v\/(v**(-1\/4)*v))**(-3\/7) assuming v is positive.\nAnswer: v**(-2173\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/3 - 2920*m**4\/3 - 64342*m**3 - 3107368*m**2\/3 - 16343776*m\/3 - 9087104 = 0. What is m?\nAnswer: -43, -13, -4, 1524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 5943204023.\nAnswer: 5943204018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -12 + (-81 - -80) + 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24753 = 973*o - 1425*o - 2819 for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 10*v. Let r be i(-5). Suppose r*b - 48 = 19*b. Let h be 6\/(b\/6*3\/2). Solve h*d = 6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 10:48 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 346.9 - 347. Suppose 2 + 0 = -2*t. Sort 1, 1\/13, f, t in decreasing order.\nAnswer: 1, 1\/13, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -41*u - 17 + 45 + 40*u. Suppose -3*c + 3*t + 78 = 0, -7 = 2*c + 2*t - 43. Calculate the remainder when c is divided by q(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 339147 and 62568?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(10\/(-5)) + 42. Let z = -30 + i. What is the smallest common multiple of 3 and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107 * 1323\nAnswer: -141561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**0)**(-17)*z**(4\/9)\/(z**(3\/2)*z) assuming z is positive.\nAnswer: z**(-343\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1320 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19317*q**6 - 2*q**5 - 54*q**3 - 2*q**2 - 4*q - 3616 wrt q?\nAnswer: 2318040*q**3 - 120*q**2 - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 480, 475, 460, 429, 376, 295?\n\"Answer: -n**3 + n**2 - n + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*11\/(-231)*-6*2 - 42?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 611\/24 + -155\/6. Which is the nearest to 0.2? (a) -4\/9 (b) -2\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -27*p**2 + p. Let o(b) = -4*b**2. What is r(o(j))?\nAnswer: -432*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57189635.\nAnswer: 5, 61, 187507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (83\/166)\/(1\/38). Solve r*d + 292 = 330 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2788, 5, 2 in increasing order.\nAnswer: -2788, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 605320 - 4689.955?\nAnswer: 600630.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 15*m**2 - 11*m - 17. Let j be r(14). Let f = 28 - j. Solve -9 = -2*s - f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 17*v = -14*v + 15, 5*f = 8*v + 40 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1610*q + 71. Let a(x) = -x**2 + 20*x - 90. Let i be a(6). Is g(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-8)*(-3)\/33*-22?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495672 is divided by 3840?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k. Let a be w(9). Let r be (a\/(-18))\/(2\/(-12)). Solve 2 + r = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -9*v - 12*v. Solve v = -p + a - 2*a - 2, 0 = -2*p + 2*a + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**2. Let b(p) = -73*p**2 + 21. Let c(t) = -73*t**2 + 18. Let d(f) = 6*b(f) - 7*c(f). Give d(v(m)).\nAnswer: 657*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11aa2 + 6?\nAnswer: -11a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - ((5 - 0) + 4). Let f(g) = -1557328*g + 57. Let k be f(j). Suppose 5*l - k = 383991. Round l to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6\/11)\/(z**(-26\/3)*z)*(z*z**(-2\/129)\/z*z)**(-1\/37))**(5\/11) assuming z is positive.\nAnswer: z**(1862440\/577533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -84 in -3, -0.3, -5, -0.12, 0.04?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2 + 22*k - 20*k - 280*k**3 - 389*k**3 to r + g*k + h*k**2 + s*k**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 23*v - 13. Let y(n) = 6*n - 3. What is 6*g(j) - 26*y(j)?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 0, -4*l - 5*q = l - 105. Suppose 6*a + 5*f = 2*a + 32, -3*a - 3*f + l = 0. Solve -3*s + 16 = -5*t + s, 5*t + a*s + 23 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 10*a + 4 = 5*a, j + 5*a = 4. Let f be 1\/(j\/(-40)*-4). Factor -5\/2*s**3 + s**2 - 1 + f*s.\nAnswer: -(s - 1)*(s + 1)*(5*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127778 - 1150001\/9. Solve 0 + 0*b - 5\/9*b**3 - q*b**5 - 2\/9*b**2 - 4\/9*b**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**5*j)\/(j\/j**(-7)*j))**(-22)\/(j*j**(-6\/13)*j*(j*((j\/(j*j**(-8)\/j))\/j*j)\/j)\/j*j)**(-3\/19) assuming j is positive.\nAnswer: j**(65619\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 183*d + 184*d - 1 + 185*d + 177*d - 730*d. Let y(p) = 2*p + 1. Give 4*j(l) + 6*y(l).\nAnswer: 8*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2731 = 50. Suppose q + 144 = -17*w. Let u(g) = g**3 - 3*g**2 - 6*g + 3. What is the common denominator of w and u(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 649*h**2 - 656*h**2 + 3*h + (1 - 3 + 1)*(-h**2 - 4*h**2 + 2*h**2).\nAnswer: -4*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/49011120 and -75\/4?\nAnswer: 49011120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 7. Let m(y) = -y**2 - 2*y + 3. Suppose -n + 13 = 4*j, 2*j - 5*n + 19 = -j. Let h be m(j). Determine k(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.63206 years to decades.\nAnswer: 2.963206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20701 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 26. Suppose 60 = 2*w + h*v, -5*w + 8*v = 3*v - 200. Let r be (-984)\/(-14) + (-12)\/42. What is the highest common factor of r and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28565\/2 + 14283. Which is the second biggest value? (a) i (b) -329 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 484 + -489. Which is the third biggest value? (a) z (b) 1\/8 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 36*c + 57. Let k be x(-5). Solve 4*o + 28*t - k = 23*t, 2*t = -4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104.019 - -1.219. Let s = -102.7479 - a. Round s to 3 decimal places.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-2) + (-5 - 1 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.318 times 9?\nAnswer: -2.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(20\/(-32)) + 2. Suppose -12 = -4*x - 5*p - 3, 4*x + 3*p = -1. Let k = x - n. Is -2\/7 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 - 5*z**2 + 5*z - 9. Suppose 10*f - 4 = 9*f. Let y be w(f). Suppose -5*p = -3*g + 106, g - 3*g = -p - y. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 195 + -352. Let a = -3725 - -3547.3. Let p = a - l. What is p rounded to zero dps?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -54.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169260.\nAnswer: 2, 3, 5, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.7 - 10. Let t = -0.7 + g. Let o = t + -0.1. Which is bigger: 2\/3 or o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -119945*d + 20. Suppose -3*j = -2*a + 75, -4*a + 4*j - 91 = -239. Let z be t(a). What is z rounded to the nearest 100000?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**4\/12 - q**3\/2 + q**2 - q + 11. Let k(z) = z**2 + z - 1. What is 3*k(h) + s(h)?\nAnswer: 4*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 45.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-513)\/(-18))\/(1\/2). Suppose 0 = -j - 2*j + t. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.6 (b) 20 (c) 0.13 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -827 - -1608. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155605.8 centimeters to millimeters.\nAnswer: 1556058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 28\/(4 + -6). Suppose -3 = -i + 2. Calculate the greatest common factor of i and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -441 divided by -7.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7943*o + b + 21 = 7947*o, o = -b - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4863739525 to the nearest integer?\nAnswer: 69741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3059 is divided by 736.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2365 and -10860547149?\nAnswer: 10860549514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7942 and 488583898?\nAnswer: 7942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 305 * 0.2\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62200644 is divided by 154344?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/(u*u**(-5)))*u**(1\/9))\/(u**(-1)*u)**(-2\/9))**(-23) assuming u is positive.\nAnswer: u**(598\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4799, 0.6, 0, 1\/3, -70 in descending order.\nAnswer: 0.6, 1\/3, 0, -70, -4799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34d3b + 0?\nAnswer: -34d3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6 - (-4 + 14 + -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 330 or 3639\/11?\nAnswer: 3639\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by -12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -87, -279, -575, -975, -1479?\n\"Answer: -52*g**2 - 36*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -95*p**4\/3 - 2*p**3\/3 - 2*p**2 + 4*p. Let k be s(4). Round k to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, n: 3}. Give prob of picking 2 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, e: 6, b: 4}. Give prob of picking 1 q and 2 e.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -249*h - 253 wrt h.\nAnswer: -249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -624, -1319, -2076, -2895, -3776, -4719, -5724?\n\"Answer: -31*t**2 - 602*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.196754*12.\nAnswer: -2.361048","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Put -352, 0, -1 in decreasing order.\nAnswer: 0, -1, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 5*i**2 + 5*i + 8. Let c be b(-4). Solve c*r - 7 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 16277355.\nAnswer: 325547100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 682753457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s - s. Solve s = 5*b + w, -3*b - 3*w + 16 = -4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9944, -9952, -9960, -9968, -9976?\n\"Answer: -8*j - 9936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4125 is divided by 272.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3708 - 3679. Solve -h = 12*p + 31 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1059)\/(-21) - (-8)\/14?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + j - 1201 = 0, 0*c - 3*c - 1796 = 4*j. Round c to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 4) in base 2?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-5))\/((-8)\/(-20)). Let t be (-1)\/((-2)\/w) + -1. Is t\/(-4) - 45\/(-2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.6356601 rounded to 1 dp?\nAnswer: -70.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6*-3*-2. Let p be q\/10 - (-36)\/20. What is the remainder when 119 is divided by p + 56\/(4 - 2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1))**37\/(l**(-5)*l**(4\/3)*l*l)*(l**(-3\/5)*l*l*l**(2\/3)*l*l)\/(l**(-3\/7)\/l*l*l\/((l*l**(-5))\/l)) assuming l is positive.\nAnswer: l**(17\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*f = 5 - 4, 0 = -s - 4*f - 7. Let l(r) = r - 9. Let u be l(s). Let v be (0 + -3 + u)*-1. Solve -3*g + v*o - 3 = -6*g, g - 9 = 3*o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + t + 115 = 0, -4*n - 4*t - 5 = -97. Suppose 2*l + 7 = -n. Let j = l - -35. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25852311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21717, -21712, -21707, -21702?\nAnswer: -21697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -30*r**2. Let s(p) = p - 25. Calculate s(o(q)).\nAnswer: -30*q**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 4*h**2 - 2*h + 5. Suppose w = -w - 10. Let q(f) = 1 - 1 + f. Let r be q(w). What is t(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjrjjjjjjrjjjrjj. What is prob of sequence jjjj?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, -12, -62, -130, -222, -344?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 174 = 3*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 10:45 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 - 15*z + 15. Let w(u) = u**2 + 6*u - 6. Let o(i) = 2*t(i) + 5*w(i). Let k(l) = -8007*l. Calculate k(o(n)).\nAnswer: -8007*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0541 + 0.1241. Suppose -2*d - 13 + 1 = -5*j, -d - 3*j + 5 = 0. Let w = d + -2. What is the biggest value in f, w, 3, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 318.8 + -292. Let l = z - 26. Is l equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33424050 a multiple of 2350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88 - 80. Suppose 3*i - 281 = -z, 0 = i - d*z + 6*z - 96. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -40?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2. Let t(u) = 47654*u. What is k(t(i))?\nAnswer: -4541807432*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2.953 - 33454.74994\nAnswer: -33457.70294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 133\/3 - 44. Let q(z) be the first derivative of -1\/3*z**2 - r*z + 1\/6*z**4 + 0*z**3 - 2 + 1\/15*z**5. Solve q(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -14*j**2 + 6*j + 2. Let n(f) = 5*f**2 - 2*f - 1. Suppose 0 = -3*i + 2*i + 2*p - 11, -2*i = 5*p + 22. Calculate i*n(h) - 4*x(h).\nAnswer: h**2 - 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 11:52 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-72)\/(-11))\/(-3))\/(28035\/411180)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-110)\/200) + 4\/22. Suppose 5*t - 7 = -3*o, 0*t - 8 = -3*t + w*o. Let x = 0.1 + 0.4. What is the second biggest value in t, 6, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -44*y**2 - 5*y - 1. Let d(q) = -11*q**2 - q. Give -2*b(m) + 9*d(m).\nAnswer: -11*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/36)\/(-8)*2*6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 + 0*y**2 + 748*y - 35 + 4*y**2 - 748*y + 4*y**2.\nAnswer: 4*y**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 + 2*m - 6. Suppose -3*u + 0*u - 5*v = 7, 6 = -3*v. Let b = 966 - 962. Let t(n) = -n**2 + 1. Calculate b*t(z) + u*g(z).\nAnswer: -z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a**3 - 6*a**3 - 9*a**3 - 7*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 169643953 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 37 + 7 = 0. Let x = -20 - v. What is the lowest common multiple of x and 38?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1921 less than -868758?\nAnswer: -866837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 29, 2, 3\/22, -0.5, 0.171?\nAnswer: 0.171","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**2 - 4*x + 4. Let l(a) = 4*a**2 - 3*a + 3. Let d(s) = 3*j(s) - 4*l(s). Let g(t) be the first derivative of -t**2\/2 - 2*t + 1022. Give g(d(k)).\nAnswer: 4*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.83032 hours to milliseconds.\nAnswer: 2989152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 364182 and -2.914?\nAnswer: -1061226.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a47 - -2bda?\nAnswer: 2193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 3, -8, -5, 5\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*m**5 - 1750*m**4 + 8914*m**3\/3 + 5238*m**2 - 3968*m - 14336\/3 = 0. Calculate m.\nAnswer: -7, -1, 32\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 359c?\nAnswer: 3596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3003 by -91.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.653 + -0.323. Let l = j + -0.33. Let m = 0 - -0.1. Which is the nearest to 0.1? (a) m (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 559 divided by -43\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(18*q + 35*q - 8*q) + 5 - 5 - q + (-1 + 2 + 1)*(-3 + 3 - 2*q) + 1 - 2*q - 1.\nAnswer: 83*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t + 9. Let w(v) = 5*v**2 + 2*v + 4. What is w(n(y))?\nAnswer: 180*y**2 + 552*y + 427","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4935.\nAnswer: 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*s + 9, 0 = 2*v + 3*s - 1 + 3. Let r be (-54)\/(-36)*(-28)\/(-6). Let o(a) = -a**2 + a + 2. Let d be o(0). Solve d - r = -v*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + (2 + sqrt(76))*4 + 0 + 1*sqrt(76)*3 + sqrt(76)) + -1)*6.\nAnswer: -288*sqrt(19) - 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (6 + -2 - 0)) + 6 - 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -0.4, -4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 220665435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than -641\/161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 10:12 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {e: 3, k: 9, l: 4}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4313723943 to two dps.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -104 + -9 - (-8 - 77).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j = 16*j + 261. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5176 - 3288. Let z = b - 1072. Is 48 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -2*v**2 + 1\/6*v**3 - 1\/60*v**5 - 7 + 0*v - 5\/24*v**4. Let a(l) be the second derivative of s(l). Give a(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edeeeqqqeqeqvvqeee. What is prob of sequence veq?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1036 + 7222\/7. Let r = 169\/28 + x. Let 1\/2 - r*m**2 - 5\/4*m = 0. Calculate m.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/1*-1 + 6. Differentiate -242*g**l + 76*g**4 + 131*g**4 - 16 wrt g.\nAnswer: -140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s + 5 + 2*s + 1 + 2*s. Let z be d(-2). Let p be -5*((-2)\/(-5) + z + -3). Solve -4*i = -23 + p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64577.\nAnswer: 64577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 3*b + 10, o - 4*o - 3*b = 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 + -d66?\nAnswer: -d4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 7. Let d = -91\/40 - -15\/8. What is the closest to d in -0.3, 3\/5, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/((-198)\/55)*(-84)\/(-70)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1069, -1011, -961, -925, -909?\n\"Answer: -w**3 + 2*w**2 + 59*w - 1129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10667230 to the power of 1\/2, to the nearest integer?\nAnswer: 3266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z + 1. Let i be l(2). Let d be (4 - (14 + -5)) + 13. What are the prime factors of 1 - (-4 - i - d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1909 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**3 + 351*l**2 + 354*l + 3. Let d be y(118). Let v(j) = j**3 + j**2 - 3*j - 1. Calculate v(d).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.30431 times -0.1\nAnswer: 0.030431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 17. Let t(o) = -o**3 + 5*o**2. Let b be t(f). Let m(k) = -k**3 - k**2 - k + 1. Give m(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 4. Let r(k) = -2*k**3 + f*k**2 + 166*k + 164*k - 333*k + 2. Determine r(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65080331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 979*t**2 + 2799*t**2 + 2785*t**2 + 633*t**2.\nAnswer: 7196*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1681595.06900078 - -1681595. Let b = g - -0.069. Round b to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 11*f**2 - 9*f - 11. Suppose 125 - 205 = -8*r. Determine a(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, y: 4, f: 3, m: 2, w: 1}. What is prob of sequence wmv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-42)\/(-14))\/(0 - 1). Let v be 4\/10*(2 - h). Suppose 121 - 551*q + 529*q + q**v + 0 = 0. Calculate q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 7 = -3*p, 2*h + 50 = -3*p + 37. Put 619, 3, h in increasing order.\nAnswer: h, 3, 619","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2*12*(-3)\/(-576).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 1:11 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from ororororrrrrrroooroo.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 105*5\/(-5)*67. Let o = -4790 - u. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + -7. Let j = 15 + i. Let g = 15 - 12. Solve g*l + 2*f - f = -10, -10 = -j*f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 159363.70718.\nAnswer: 159364.20718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -26*a + 83. Let p(x) = 28*x - 87. Calculate -4*h(m) - 3*p(m).\nAnswer: 20*m - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500742 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1. What is the remainder when (t - -1)*(1 - -43) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9\/166 + 139\/498. What is the biggest value in x, -1\/4, 1\/763?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146102428*o**3 + 116930716*o wrt o.\nAnswer: 876614568*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/28407 and -68\/15.\nAnswer: 142035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-12) - -3 - (-6)\/24. Suppose -3*o + g*p + 2*p = -78, 0 = 4*o + 4*p - 132. Calculate the greatest common divisor of 70 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/26 and 19\/13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + (-6 - (-20 + 3) - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -3*p + 5*y + 378, 0 = 3*p - y - 461. Let r = 4 + -34. Let u = r + 49. What is the highest common divisor of u and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q + 4. Let r(i) = -6*i**q + 5*i**2 + 4*i**2 - 6*i**2. Let n(c) = -c**2. What is n(r(f))?\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6317319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + (sqrt(304) - (sqrt(304) + -1))*-3.\nAnswer: -3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**3\/3 - 5*r**2\/2 + 3*r - 2. Let t be y(-4). Let b = t + 28. What are the prime factors of b?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -306 (b) 3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450940.\nAnswer: 2, 5, 7, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - (3 - 6))*1. Calculate the common denominator of -81\/8 and -3 - (4\/t - (0 - -2)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 63*i**2 + 683*i - 15. Determine m(-49).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396345?\nAnswer: 3, 5, 26423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 184 + -160. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -0.5, 0.5, -0.3, 6\/25.\nAnswer: -19, -0.5, -0.3, 6\/25, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**7\/1260 - v**5\/30 - v**4\/8 - v**2. Let y(p) be the second derivative of o(p). Give y(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 16*g**3 - 11*g**2 - 24*g + 99. Let b(u) = -3*u**3 + 2*u**2 + 5*u - 19. Let a(t) = -11*b(t) - 2*d(t). What is a(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 2, 5, 6 in ascending order.\nAnswer: -5, -1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/15 + 4 + (-4)\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.7 - -7. Let w = -2266 + 2271. Sort -3, 4, w, c.\nAnswer: -3, c, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6015 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5 = 5*o, 0 = -17*o + 15*o + 5*k - 2. Suppose -2*v = -2*d + 33 + 391, 4*d - 816 = -4*v. Is o greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6690995 centimeters?\nAnswer: 6690995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d**3)\/d*d*d*d)\/(d*d**8))**(-22\/5) assuming d is positive.\nAnswer: d**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 u when three letters picked without replacement from vbvebeeuebae?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 37*d + 106. Let l be b(-34). Let g(t) = 0 + 20*t - 27 - 2*t. List the prime factors of g(l).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 14*u**3 + u. Let k be b(1). Suppose -2 = 2*h - 6. Suppose 3*r = -h + 8. Solve 3*l + k = -r*m - m, 4*m = l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 67812*h**2 - 135608*h.\nAnswer: -4*h*(h - 16951)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -3. Let b = h + 1.999998. What is b rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, 1, 2388 in descending order.\nAnswer: 2388, 107, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102123 + 2?\nAnswer: 102130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4765*f - 14467. Calculate z(-3).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 16. Suppose k - o = 4. Suppose 8 = 2*c - 4*t + 6*t, -5*t - k = 0. What is the remainder when c is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133 + -132. Let n = -2.6 - 3.9. Let k = 7 + n. Which is the nearest to 0.2? (a) k (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51598337*b**3*g - 79*b**3*w + 7*b**3 - 1162266*b**2*g*w wrt w?\nAnswer: -79*b**3 - 1162266*b**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 748*j**2 + 194126717 - 194126717.\nAnswer: 748*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 6*q**2 + 5. What is o(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:34 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-3)\/(-9) - 392\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 0*x**3 + 11*x**2 + 0*x + 1\/60*x**6 + 0*x**4 + 0 - 1\/6*x**5. What is the third derivative of q(w) wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-1) - (10 - 13). Suppose y*h = h - 40. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1500010*i**2 - 1. Let c be r(1). Suppose -5*l - 7975574 = -5*u - 475559, -u = -3*l - c. Round u to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9701616 a multiple of 563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126 + 233. What is the remainder when u is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10542.2368 - -10541. Round n to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1126*p - 14 = 1119*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**4\/6 - w. Let t(o) be the second derivative of -7*o**3\/3 + 15*o. Determine r(t(k)).\nAnswer: -392*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 6 + (-1 - 0). Solve -a*m + 6 = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/6 + 26*h**4\/3 - 112*h**3\/3.\nAnswer: h**3*(h - 4)*(h + 56)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.8 + -3.751. Let t = u - 0.086. Round t to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + 25. Suppose 0 = x + 4*d - 8 + 31, -2*x + 4*d = -14. Let s(o) = -o + 1. Let g be s(x). Calculate the highest common factor of g and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-268)\/1206 - (-2)\/(-18)*-2. Solve u = -5*k - 5 - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 788, 786, 784?\nAnswer: 782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43647\/13780 - -12\/689. Let r = 2139 + -21273\/10. What is the common denominator of r and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 43*s**2 + 1459*s - 83. Calculate j(-34).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 184505 = 727471. Suppose -5*u + 122255 = -2*k - 257751, 0 = 3*u + 2*k - f. What is u rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2115407 to the power of 1\/2, to the nearest integer?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 5:46 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*a**2 + 396837*a**4 - 3*a**3 - 26*a - 396859*a**4 - 46*a**3 wrt a.\nAnswer: -528*a - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**3\/3 - 3*t**2\/2 - 7*t + 5. Let m be y(5). Suppose 5*u + m = 33. 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 remainder when 7667303 is divided by 41222.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**3 + 5*k**2 + 2. Let j(s) = s**3 - s**2 - s - 1. Let p(u) = 10*j(u) + 5*q(u). Factor p(z).\nAnswer: -5*z*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -k - 23*c + 21*c, 3*c + 4 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*c + 1565 = 0, 2*v = -36*c + 35*c + 779. What is the remainder when v is divided by 129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 2*g - 1. Let l(c) = c**2 - c. Let a(z) = -3*k(z) - 5*l(z). Let r be a(0). What is the units digit of (2\/(-8))\/(r\/(-1572))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 183*r**5 - 2*r + 190.\nAnswer: 3660*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 438607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + y + 0*y + (2*y + 0*y + 0*y)*(-1 + 2 - 3) - 2*y - y + 4*y + y + 2*y - 4*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(-2)\/(-4) + 1. Let u be 1\/(j*(-5)\/(-60)). Let p be (u\/(-6))\/((-20)\/15). Which is bigger: p or 0.04?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o + 45*o - 113372 = 41*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 49?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4054*f = 45154 + 573171 - 79143 for f.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5100\/(-680) - (-16)\/2. Let r(d) be the first derivative of k*d**3 + 6*d + 9 - 15\/4*d**2. Solve r(o) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + o - o)*(-2*o - 5*o + 4*o) + 51*o**2 + 23*o**2 + 19*o**2.\nAnswer: 102*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115672, -231311, -346974, -462655, -578348?\nAnswer: -694047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(12)\/(sqrt(30)\/sqrt(5)))**2 + (sqrt(12)\/sqrt(6) - sqrt(2))*2)*6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 2 (b) 16.2 (c) 7 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8*j**3 - 7*j**2 + 10*j - 36. What is the remainder when 724 is divided by l(3)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 87. Suppose 23*k = 11*k + w. Calculate the remainder when 12 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1008 and 144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r + 23. Let w(v) = -3*v - 24. Let a(m) = 6*n(m) + 7*w(m). Let i be a(-10). Suppose -q - 11 + 13 = i. Solve q*s - 2 = 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - t = -12*a + 196, 5*t + a = 365 - 322 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -462038 to the nearest 100.\nAnswer: -462000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*h - 2*a - 8 = 424*h, 0 = -h + 3*a + 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4632, 4508, 4384, 4260?\n\"Answer: -124*o + 4756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-16) + 11\/30. Let n = 1\/60 - q. Let l = -7 - -7. Which is smaller: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -123 - -129. Suppose 4*c = -j*c. Solve r - 3*r + 10 = c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 8:44 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -22*c - 2. Let b(o) = -2*o + 15005 - 15005. What is y(b(l))?\nAnswer: 44*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2924 is divided by 117.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u**2 + 8716 + 0*u**2 - 26171 + 8734 + 8722.\nAnswer: 12*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1282, 1275, 1264, 1249, 1230?\nAnswer: 1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = -14*y + 14. Suppose 2*t + y = -0*q - 4*q, 4*t = -20. Which is bigger: -0.1 or q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 0\/(-1)) + 1 + 2. Suppose -j + 20 = 4*j. Find the first derivative of 3 + 2*f**3 - 2*f**3 - f**m + 4*f**j wrt f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(-f + 0*f + 2*f) + f + 0*f - 3*f + (-4*f + 3*f + 3*f)*(-1 + 0 - 1) - 4*f + 5*f - 2*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1779314 times -5?\nAnswer: 8896570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*p - 34902 = 49997. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 19, m: 1}. What is prob of sequence rrrm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29859673.\nAnswer: 43, 157, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 209*u + 84. What is the tens digit of z(27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 divided by 26106?\nAnswer: 91\/8702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*f**2 - 47202*f + 11042174 wrt f.\nAnswer: 76*f - 47202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + p - 1. Let f(a) = 2*a**2 - a + 9. Let c(d) = f(d) + h(d). Let x be c(0). Suppose x = -4*w + 88. Solve w = -7*u + 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppegegepp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158 + -177 - ((2 - -16) + -4).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11767977653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + (sqrt(468) + -2)**2)*3 + (sqrt(468) + sqrt(468) + 2*sqrt(468) + sqrt(468) + -4)**2 + 5*(1 + sqrt(468))) + -2.\nAnswer: -564*sqrt(13) + 26272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26067109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.96 + -0.04. Let r = -1.5 + 2. Let k be (-22)\/(-28) + 2\/(-4). Which is the nearest to y? (a) k (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbeubbduduudreey. Give prob of sequence ru.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**3 - 288*b**2 + 2*b - 24. Let l(v) = -2*v**3 - 146*v**2 + v - 13. What is -11*l(k) + 6*y(k)?\nAnswer: -2*k**3 - 122*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*h + 44706 - 44927 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/26)*c**2*(c*(c*(c*c**(14\/3)*c)\/c)\/c*c*c*c)\/((c*c\/(c**(-17)*c)*c*c*c)\/c))**(-34) assuming c is positive.\nAnswer: c**(11101\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifths of a day in minutes?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -182 or 9269?\nAnswer: 9269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = -2*k. What is the derivative of 5 - 7*u**3 + 6*u**k + 3*u**3 wrt u?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -283 - -8195\/29. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 12*h**2 - 2 - 6*h**3 - 3*h + 5*h**3 + 4*h. Calculate the remainder when c(12) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10b (base 15) to base 3.\nAnswer: 22202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -2*f**3\/3 + f**2\/2 - 6*f. Let n be b(-1). Let d(k) = k**3 - 4*k**2 - 6*k + 2. Give d(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2108 and 496.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 157511719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-25)\/(-10))\/((-1)\/(-34)). Suppose 10*r = z + 2315. Is 40 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274192264 to the nearest integer?\nAnswer: 16559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 921*g**3 + 32*g**2 - 10*g + 25. Is u(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 15, -2, -1 in decreasing order.\nAnswer: 15, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 6*w - 21. Let a be y(-9). Let m(k) = k**2 - 10*k + 30. What are the prime factors of m(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (428 - 414) + 2 + -30?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1.8 (b) -0.4 (c) 1\/2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 9*s + 5. Determine i(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 3*u + 92 - 225 = 0, -9*u + 7*u - 36 = -4*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11c (base 16) to base 4.\nAnswer: 10130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6626 and 365947354?\nAnswer: 6626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 46\/3. Which is the third biggest value? (a) -5 (b) -3 (c) n (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000189896 to six dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(76) + -3 + sqrt(76)\/sqrt(4) - (2 + sqrt(57)\/sqrt(3) + -5))**2.\nAnswer: -400 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4640241*o**3 - 4*o**2 + 1316796*o - 182.\nAnswer: -27841446*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 7*s**2 + 10. Let q be i(-7). Let h = q + -5. Suppose -24 = -4*d + 5*c, 0 = -h*d + 2*c + 2*c + 30. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 11*d**2 - 12*d + 2. Suppose m + 15 - 3 = 0. Let q be j(m). Solve -2*n = -4*y + 14, -2 = 5*y + q*n - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236092.\nAnswer: 2, 59023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-y**2 - 23 + 2*y**2 + 0*y**2).\nAnswer: -y**2 + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66*o**6 - 457*o**2?\nAnswer: 7920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 84?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -436 + 5?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 9 + 3. Suppose -1797 = -q*o - 3. Suppose 2*d + 87 = o. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 6*m**2 + 11*m - 12. Let d be h(9). Let u = -107 - d. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h**2 - 8671*h + 26033. Calculate p(3).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 19 = 2*h - 4, h - 26 = -p. Suppose -3*i + n = p, -i + 3*i + 1 = -3*n. List the prime factors of -1 - -35 - (i + 9).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 0 (c) -2\/7 (d) 0.02 (e) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 13*m - 34. What is l(-8)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -10. Suppose -5*v = -p*v - 66. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -1226*d + 174032. Calculate s(142).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -524.3 + 524.8. Suppose 0 = -f - 3 + 1. Let m = 0 + f. What is the third smallest value in m, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 4) + (-1 - (-5 + 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6 = 5*i, 3*b + i = 3. Is 15\/8 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 4) in base 6?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38419858.\nAnswer: 2, 19209929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 45, -2, -10, -4 in decreasing order.\nAnswer: 45, 1, -2, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15*12\/(-150))\/((-6)\/45)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5355 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (-18)\/12 + (-2)\/12. Let d(z) = -z**2 + 2*z + 4. Suppose o = 3 - 0. Let m be d(o). Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/10)\/(q**1\/q*q)*(q\/(q\/q**(-7)))**25 assuming q is positive.\nAnswer: q**(-1757\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -488.462 + 488. Let b = 0.17 + 0.25. Let i = l + b. What is i rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213278417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1724 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/2*61\/(41846\/(-588))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10\/11, 7\/3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((4\/(-9))\/(-2)). Suppose -n*h - 1401 = -5226. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 1 = 1. Let y = 10 + -15. Sort y, 4, c in decreasing order.\nAnswer: 4, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + s**2 - 2*s - 8. Give y(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/7 - (11 - 6300158\/14). What is z rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 51 = 8*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8314.068 millennia?\nAnswer: 99768816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 + 32*r**2 + 405*r. Let v(m) = 3*m**3 - 65*m**2 - 812*m. Let f(b) = -7*u(b) - 4*v(b). Find the second derivative of f(w) wrt w.\nAnswer: 12*w + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3497425, -3497427, -3497429, -3497431, -3497433, -3497435?\nAnswer: -3497437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4306101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 42 = z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 9*h**6\/40 + 5*h**4\/24 - 11*h**3\/6 + 4*h**2 + 38. What is the second derivative of o(r) wrt r?\nAnswer: 162*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2716 - 2730. Put 1, -8, h, -0.1 in decreasing order.\nAnswer: 1, -0.1, -8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 561079?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/446031 and -167\/90.\nAnswer: 4460310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 29 = -z, -r + 7*z - 38 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w + 4. Let s(t) = 11*t + 7. Let z(o) = -4*s(o) + 7*y(o). Let n(j) = -11*j. Determine n(z(q)).\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**3 + 5260 - 1014*f**2 + 2*f + 100*f**2 - 1027*f**2 - 341*f**2 with respect to f.\nAnswer: -3*f**2 - 4564*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b + 0*b)*(-3 + 7 + 1)*(-4*b + 2*b - b).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8159421 and 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*p + 5, -5*v + 10 = -4*p + 7*p. Let k(j) = -j**2 + j + 4. Let b be k(0). Let h = -2982 + 2985. Solve r - 6 + 36 = -v*s, b*r = h*s - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 9*b**2 - 10*b + 4. Let m be k(10). Let t be (-1)\/1*(m - 9). Solve 4*w + 11 = -t, v = 5*w + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*l**2 + 2*l**2 - 12*l**2)*(0*l**3 + 4*l**3 - 3*l**3) - 6715 + 6715 - 331*l**5 + 5*l + l**5 - 5*l.\nAnswer: -354*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402*q = 351*q + 102. Let m(s) be the first derivative of -576*s + 20 - 48*s**q - 4\/3*s**3. Factor m(p).\nAnswer: -4*(p + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llleeellee. Give prob of picking 3 e and 1 l.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/(-12)*112\/(-3). Suppose h = 7*z - 4*z. Suppose -44 = -4*p - 4*w + 3*w, -5*p + z = w. Solve -4*a + 7*a = p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -14*b - 2. Let s(j) = -14*j - 2. Determine -6*l(t) + 7*s(t).\nAnswer: -14*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69760 + 25154 + 6908 = 1887*a - 45364 for a.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) 50 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 15) to base 9.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 2. Let n be ((-2)\/g)\/(2\/(-18)). Let p = n - 8. Is -2 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-1972)\/(-145) - 2\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6\/11 - 8\/55. Let k = -2 + 3. Which is the nearest to -1\/3? (a) t (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**2 - 10*a**4 + 2*a**4 - 3*a**4 + (-4*a - a**2 + 4*a)*(-2*a**2 - 4*a + 4*a).\nAnswer: -9*a**4 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + -34. Let k = -83 - j. Calculate the highest common factor of 6 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 2*n - 186. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4070 = q, -9*q - c = -7*q - 8176. What are the prime factors of q?\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1161.0910112 to two dps.\nAnswer: 1161.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 1357902.\nAnswer: 2715804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/2266 and -13\/11.\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 56 - 88. What is the remainder when q is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 37. Solve -13 = -2*u + 3*u + v*n, -6 = 3*u - 2*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 8*o**2 - 10*o - 1. Let c be n(-9). Let u = c - 5. Find the third derivative of -2*i**6 + 5*i**6 + 5*i**2 - u*i**2 - 4*i**6 wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 9:05 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5664 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18396902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 14*s**2 + 14*s + 5. Let q be g(13). Solve 3*i - 3*l = 6 + q, -3*l = 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10 + 11 - (25\/15)\/5)*73473?\nAnswer: 2, 19, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 214 + -130. Suppose m = 4*t + 3*t. Calculate the remainder when 5 - -17 - (-2 - -1) is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 5.1.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 10 = -c, -5*q - 4*c + 19 = -2*c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.36 + -0.06. Let d = -0.05 + -3.95. Let s = 3.9 + d. Which is the third biggest value? (a) h (b) s (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + -0.8. Let a = 0.2994 - j. Round a to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/1 + 13)*37\/8325*60\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 29.07 times 147\nAnswer: 4273.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3696 and 16?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-645794)\/(-2828) - 227) + (-9)\/(-2)*(-8)\/21?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 2*l + 69 = 78*l. What is the nearest to -2 in l, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -3 - (5904\/(-234) - 6\/(-26)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 7*p = 76. Suppose 6*m + 7 - p = 0. What is the third derivative of -28*b**m + 14*b**6 - 18*b**2 + 28*b**2 wrt b?\nAnswer: 1680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -3*g - 6, q + 4*q - 6 = 3*g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -11*i**2 - 13*i - 32. Let o(v) = 8*v**2 + 14*v + 32. Let d(k) = -4*n(k) - 6*o(k). Let d(j) = 0. What is j?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6140426786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/12*(-22)\/(-1089).\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r + 20 = 0. Let u(t) = t**2 - 11*t + 8. Let z be u(9). Is (-2)\/z - (-64)\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2*z - 3*u - 215, -2*z + u + 105 = 0. Suppose 4*i + 5*b = -7 + z, -2*b = 2*i - 24. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -9*i - 1. Suppose -3*f = -3 + 21. Suppose 3*p = 3*r + 19 - 4, -2*p - 5*r - 11 = 0. Let s(z) = -4 + 1 + p - 8*z. Give f*l(x) + 7*s(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g - 2. Let i(m) = 3*m + 1. Let k(l) = 9*i(l) + 4*q(l). Let a be -4*4\/(-16) - -1. Give k(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - sqrt(84)\/(sqrt(12)*2))**2 - sqrt(7)) + ((sqrt(7) - sqrt(21)\/(sqrt(3)*-2)) + sqrt(7))**2 + -5 + (-4 + sqrt(42)\/sqrt(6) + sqrt(7))**2.\nAnswer: -17*sqrt(7) + 169\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 4*q - q)*(2 - 2 - 2)*(-4*q + 7*q + 0*q + (0 - 1 + 3)*(3*q - 4*q - q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-276)\/140 + 4 - 2). Let a(d) = d - 10. Let w be a(7). Let v = w - -8. What is the greatest common divisor of p and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4a + -471b?\nAnswer: -46b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3550 divided by -50.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66609 = -69*o - 62745. Let i(g) = 12*g**2 - g + 1. Calculate the remainder when i(3) is divided by o.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 7*n**2 + 5*n - 5. Calculate i(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**3\/6 + 5*z**2 - z. Let d be u(-9). Let a be 6*d\/4*-2. Sort a, -1, 6 in descending order.\nAnswer: 6, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from {e: 3, c: 8, m: 5}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -1) + 5 + -6. Let f be (-13)\/15 + 1 + g. Let c(h) = -h**2. Let y be c(0). Is y not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2280 and 360.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39300 and 50610.\nAnswer: 66299100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1853 times -12128?\nAnswer: 22473184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(77) + -1*sqrt(77)*2)\/((-1*sqrt(44))\/sqrt(4) + (sqrt(77)\/(sqrt(21)\/sqrt(3)) - sqrt(11))) + -4)*-1.\nAnswer: -14*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*n + 3*w + 89, 2*n - 2*w - 56 = 0. Let b = n + 207. Is b\/2 - -4*(-12)\/16 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -22, -180098 in increasing order.\nAnswer: -180098, -22, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -388c01 (base 14) to base 4\nAnswer: -13122320101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + 3*-3*(-1*sqrt(17)*-4 - (sqrt(425) + 2)) + 4).\nAnswer: -54*sqrt(17) - 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173 divided by -4.\nAnswer: 173\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*n + 29*n - 80*n in the form i + m*n and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**5\/5 - 2999*f**4\/4 - 4774*f + 2588. What is the derivative of r(b) wrt b?\nAnswer: 4*b**3 - 8997*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-1)\/3*1). Suppose 3*s - 4*b = 11 + 6, -3*s - 3*b = -h. Suppose 6 = 5*t - 4, -58 = -s*x - 2*t. Calculate the greatest common divisor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -506.24 rounded to the nearest 10?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/5 of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501844 - 501817 + 1003661 - 10*r**2.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + (5 - 34 - (10 - 141)) - -5\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 17*v = -221 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 109 = -3*q, 3*u - 57 = q - 2*q. Suppose 5*z = 10*z - u. Suppose v - 13 = -z*w + 3, v + 5*w = 18. What is the least common multiple of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/307 + 3335\/2149. Which is the second smallest value? (a) q (b) -3 (c) -2\/3 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-45)*(v**1)**(2\/3) assuming v is positive.\nAnswer: v**(137\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68*p**2*v + 2*p**2 - 82*p*v - 5*p + 102532*v wrt p.\nAnswer: -136*p*v + 4*p - 82*v - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 - 28*j**2 - 23*j + 38. Calculate i(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t = 46*t + 54. Let z be -2*((-42)\/(-12) - 3)*t. Which is smaller: -1\/16 or z?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/2 + (-5 - -11). Suppose v = -2*z + 3*g, -5*z - 3*g = -0*g - 6. Which is bigger: z or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11038 or -275949\/25?\nAnswer: -11038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 13, -92, -2\/5, 5, 54 in ascending order.\nAnswer: -92, -2\/5, 0.01, 5, 13, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1346838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-10)*1*-2. Let z = 54 - 53.43. Let f = -0.66 + z. What is the biggest value in -0.2, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 134976, 134988, 135004, 135024, 135048, 135076?\n\"Answer: 2*f**2 + 6*f + 134968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -13*a + 1. Let j be r(3). Let s = 63 + j. What is the remainder when s is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 at most -146.4187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (5072\/12 + 3)*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/5 (b) -0.5 (c) -12 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 - 66. Differentiate 28 + l + 31*s**2 - 88 with respect to s.\nAnswer: 62*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuuuuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3 + (-240)\/(-36). Let m(z) = -2*z**2 + 15*z + 10. What is the remainder when m(s) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 119 - 99 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 247.9501l in millilitres?\nAnswer: 247950.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from sfnwwfnwzwzsnfffwzwf?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by 1744\nAnswer: -73\/1744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9*h**2 + 9*h + 19. Let u(m) be the first derivative of 13*m**3\/3 + 13*m**2\/2 + 28*m - 3716. Determine -7*k(b) + 5*u(b).\nAnswer: 2*b**2 + 2*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.067\nAnswer: 0.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 781360 divided by -5.\nAnswer: -156272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**3 - 776*u**2 + 153*u - 502. Calculate t(155).\nAnswer: -812","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwmmww. What is prob of sequence mm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/18 - 3487\/6. Let z = 5434 + u. Suppose l + 4*d - z = 0, -d + 4*d + 14589 = 3*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1786536.045 to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**2 + 379*l - 126 = 0. Calculate l.\nAnswer: 1\/3, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2 - 9*n - 14. Let k be m(6). Calculate the highest common divisor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-6))\/((-1)\/(-15)). Put p, -2, -3 in decreasing order.\nAnswer: p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*y + 44*y = -51*y + 71. Solve 2*x = -57 + y for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-18)*14 + -3. Let q = -0.33 + 0.13. What is the nearest to q in 2, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11\/(-13))\/(-1) + -1. Let d = j - 7\/39. What is the fourth biggest value in d, 4\/3, -0.3, -17\/2?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16945722?\nAnswer: 2, 3, 941429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/4 - 749*v**3 - 96931*v**2\/4 + 52957*v\/2 + 49962 = 0. Calculate v.\nAnswer: -33, -1, 2, 3028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - z + 0 = 1, f - z + 8 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -291 - -296. Solve 7*m = f + 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.9978 + -24. What is h rounded to four dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2792207741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14855487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 190587992 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 55\/3 + (-8)\/6 + 2. Solve 5*i = c - f, -2*i + 4*c - 28 + 6 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/q**(-3))\/q*q))**(-3\/4) assuming q is positive.\nAnswer: q**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1861000 rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*s - 135*s = 65026. Is 41 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l + 4*s + 52 = 30*l, 2*l - 30 = -2*s. What is the remainder when 35 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/(-5*sqrt(2)*1))\/((5*sqrt(24) - sqrt(6))\/sqrt(2)))**2.\nAnswer: 11\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643*w - 31780 - 29424 = -100427 for w.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1134) - sqrt(1134)*1)*4)\/((sqrt(378)*2 - sqrt(378))\/sqrt(6)*3))**2*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 5. Let x be d(-5). Let z(f) = f**2 - 3*f + 0*f + 2*f + 1. Let l(b) = -2*b**2 + 2*b - 1. Let p(v) = l(v) + z(v). Determine p(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from {z: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 bigger than 190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o + 2. Let l be z(1). Suppose 0*p = 5*p - 15. Suppose 3 - 8 = -2*j + q, j - 4*q + 1 = 0. Solve j*u + 18 = -p*k, l*u - 3*k + k = -18 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158850 by 3177.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -16*t - 1. Let m be q(-1). Let n be 134\/(-90) + (-6)\/m. Let d = n - 29\/18. Sort 5, d, 1 in decreasing order.\nAnswer: 5, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 91*q**3 + q - 15. Suppose 12*b - 61 + 1 = 0. Is f(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o - 6. Let g = -8 - -6. Let n be (1 + -2)*(g + 1). Suppose -a + 2*j = 9, 3*a - j - n = -8. Let l(s) = -s + 1. Calculate a*z(p) - 6*l(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6\/13))**(10\/7)\/(b\/(b*b\/b**18)*b\/b**(-32)) assuming b is positive.\nAnswer: b**(-4610\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1416045688?\nAnswer: 2, 1657, 106823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105.796 + 0.204. Let b = -108.75 + g. What is b rounded to one decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -13*k**2. Let r(s) = 5*s**2 + 1. Let d(c) = -2*n(c) - 5*r(c). Let l be -1 + -2 + 2 + 1. Calculate d(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334056873 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 2*x + 24. Suppose -2*v + 6*i = 4*i - 1210, 615 = v + x*i. Does 32 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*y + 2 + 4 - 6 in the form i + h*y and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3*u + 228, -3*d - u - 55 = -789. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-7))**19*(s*s\/(s*s**22*s))\/s**(-5\/4))**2 assuming s is positive.\nAnswer: s**(-463\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = q + 2*q + 7, 1 = k + 3*q. Let a be (60\/25)\/(k\/(-75)). Calculate the highest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/18 + (-303)\/(-909)\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 - 8\/68).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 + -25. Suppose -v = -3*n - n. Solve 3*y - 2*i + 6 - n = 0, 0 = -3*i + 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27911*b = 27920*b - 90. Put -53, -4, b in decreasing order.\nAnswer: b, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**3 + 6811*c**2 - 6811*c**2.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + 1*sqrt(1125)) + -3.\nAnswer: -6 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i + 3*i - i)*(3 - 3*i**2 - 3) + 1174*i**3 + 489*i**3 - 1729 + 1729.\nAnswer: 1642*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 101 = y, -302 = -5*a + 2*a - 2*y. Suppose 0*t = 4*t - a. Suppose 2*q = t + 1. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7018 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*r + 2*p, 4*r + 6 = -5*p + 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3041, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -9*f**2 + 4 + 3 + 912*f**2 + 32*f + 654*f**2. Let c be j(12). Round c to the nearest one thousand.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r = 168*r + 849 - 2673. Calculate the least common multiple of r and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 + -9)*1\/(-7). What is the closest to h in -0.07, 5\/4, -3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 149 = 3*i, 3*d - 83 - 141 = -4*i. Suppose -n - d = -5*n. Suppose -5*o + 2*y + n = 0, 0*o - 3*o + y + 12 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.88434249 to 2 decimal places.\nAnswer: -2.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 2*c + 6 = 0, -9*f - 2*c - 6 = -6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Is 64 <= -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41437 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114)*-1*-6 - 6*sqrt(114)*1)*1)\/(sqrt(6) + -5*sqrt(48)\/sqrt(8) - (sqrt(6) - sqrt(60)\/sqrt(10))*5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 268815*h - 268810.\nAnswer: -5*(h + 1)*(h + 53762)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40 - -4635?\nAnswer: 4575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*s + 2*s - 104 = 0, 0 = d - s + 62. Let i be 2*2 + 76\/d*-3. Solve -i = 8*z + 32 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64935 = -50718*p + 50163*p for p.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 28364652.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*q - 8 + 2 = 0, 10 = -5*q. Let z be (24\/84)\/(g + -4). What is the closest to 2\/3 in z, 6\/7, 3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 + 98. Suppose -10*i + 5*i + 10 = s. Suppose -2*j - 263 = -5*j - i*y, -4*y + 4 = 0. What is the remainder when j is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - r - r)*(7*r**3 + 19*r**3 - 34 + 35).\nAnswer: 52*r**4 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*n - 89 - 13 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18304 divided by -13.\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/((-2816)\/2486) + -13?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22065768 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64656 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1681 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, 4, 9012 in ascending order.\nAnswer: -6\/7, 4, 9012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*q - 132 - 57*q + 127*q as o + h*q and give o.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8200 and 400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 79655573.5 rounded to the nearest 100000?\nAnswer: 79700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -216 (base 7) to base 12.\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = b + 1, -24 = -5*l - 2*b. Let f be 59*-2*(-2)\/l. Suppose -f + 11 = -3*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 458 + -425. What is the nearest to 0 in 4\/5, 3, z?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a - 3*j = 4, -2*a + 4*j + 20 = 0. Let h(f) = -5*f + 7. What is h(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 43.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 196535362 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**7\/140 + g**6\/40 - g**5\/40 - g**4\/8 - 22*g**2. Factor d(i).\nAnswer: 3*i*(i - 1)*(i + 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*o = 48*o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 10) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -144*q. Let v(z) = 13*z. Let l(n) = -45*v(n) - 4*y(n). Let b(x) = 14*x**2. Give l(b(i)).\nAnswer: -126*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 155 - 150. Suppose x = 2*k + 3*x - 1802, n*k - 2*x = 4533. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -2, -3, -22 in decreasing order.\nAnswer: 7, 2, -2, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 58.39794 millilitres?\nAnswer: 0.05839794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1833, 1838, 1849, 1866, 1889, 1918?\nAnswer: 1953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -256626 times 1490?\nAnswer: -382372740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a - 426 = -13*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 7*z**3 + 42 - 9*z**3 + 6.\nAnswer: -3*z**3 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1334 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2389 - 9689 + 2530 + 2387 - 44*q**2 + 2383.\nAnswer: -44*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-24) - (-472)\/(-256)*-4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*z = 2*l, l + 4*z - 17 = 0. Suppose -2*u + 215 = 3*u + 2*v, 3*u = l*v + 98. What is the smallest common multiple of u and 3?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71402.9 rounded to the nearest one hundred?\nAnswer: -71400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63 or -67?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 p when three letters picked without replacement from sapsppasss?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 787.71 - 832.737. Let c = f - -0.027. Let j = c - -44.9915. Round j to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2299 greater than or equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/(-28))\/((-12)\/14). Let k = -4 + 3.7. Let v(n) = -n**3 - 4*n**2 - 3*n - 1. Let y be v(-3). What is the smallest value in o, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 34859207.\nAnswer: 34859207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(144) + sqrt(144))\/(1*sqrt(400)))\/(-1*sqrt(98)*2 + (sqrt(98)*-1 - sqrt(98))*-2).\nAnswer: 9*sqrt(2)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 320 and 15232?\nAnswer: 76160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.6 - 0.4. Suppose s - 3*p + 6*p - 2 = 0, 4*s = 3*p - 7. Let b(r) = -r**3 - 2*r**2 + 3*r + 2. Let w be b(-3). Sort z, s, w.\nAnswer: z, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139 + 115. Let t = -0.049 - 18.251. Let j = k - t. Round j to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 6:46 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*o**2 + 37*o**2 - 125*o**2 + 50*o**2 + 354*o to the form g + k*o + t*o**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -23. Solve 0*a = -5*a - i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167418 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 1\/(-8)*2. Let g = -2 + 4. Let j = -1.8 + g. What is the third smallest value in -2, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*(k\/(k*k*k*k\/k**(1\/9)))\/k)*k*k*(k\/k**5)\/k*(k**(-1\/10)\/k)\/k**(2\/13))**(-45) assuming k is positive.\nAnswer: k**(427\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*z - 51 - 2560*z + 51.\nAnswer: -2353*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d**3 - 5764*d**2 + d - 320839?\nAnswer: -6*d**2 - 11528*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5764656374 to the nearest integer?\nAnswer: 1793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5937 a factor of 1317242190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2. Let h(f) = 2*f + 27. Give h(s(m)).\nAnswer: 4*m**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8.83 or -0.013?\nAnswer: -8.83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -3, 40, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141547 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 291980 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 28*o + 2943. What is k(-51)?\nAnswer: -1086","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Express 132*w**2 - 8*w + 8*w - 22*w**2 + 2 as c*w + d*w**2 + o and give d.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + (-3)\/((-6)\/(-4)). Suppose -2 = 4*a + 2*x, t*a - 4*x - 21 = -x. Let r(q) = a*q - q + q + 3 - 6. Let u(h) = 3*h - 5. Calculate 7*r(z) - 4*u(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28ea + -1ff?\nAnswer: -2ae9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + 11. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 8:29 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3 - 3421164*v**2 + 27369120*v = 0. What is v?\nAnswer: 0, 8, 1140380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2852\/217)\/(-23))\/(-3*8\/4704)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 at least as big as -8\/149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251694 is divided by 1894.\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1218 and 84436226.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5263?\nAnswer: 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3927.4ml?\nAnswer: 3.9274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 231761539 a multiple of 791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -141, -262, -421, -612, -829, -1066?\nAnswer: -1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -64770, -129650, -194642, -259746, -324962, -390290?\n\"Answer: -56*f**2 - 64712*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75944801?\nAnswer: 2591, 29311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6520 - 6490 = -2*u + 4*s, 11*u + 4*s - 95 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gygtit. What is prob of picking 1 y and 1 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 0.1244.\nAnswer: -3.1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*-1*sqrt(1584))**2.\nAnswer: 39604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 202000?\nAnswer: -201999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 270.6258 minus 10?\nAnswer: 260.6258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5008 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 5 (c) -13 (d) 4 (e) -2494\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 327*c**5\/80 + 215*c**4\/48 - c**3\/12 + 6490*c. Factor f(g).\nAnswer: g*(3*g + 2)*(109*g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/10)\/(2\/(-12)). Let v be (a\/(-2))\/(3\/(-14)). Suppose 4*f - p - 25 = 0, -5 = -2*p + 1. Calculate the highest common factor of f and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 94890 and 11.\nAnswer: 1043790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 1. Let t(h) = -9*h - 281. Let q be t(-31). Let z(j) be the first derivative of -j**2\/2 + 4*j - 1. Give q*o(k) - z(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*6\/(-18) - 6*-5. Solve 5*o = 2*g - p, 18 = 3*g - 4*o - 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 86421975.1 to the nearest 1000000.\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722 is divided by 150.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111011 (base 2) in base 3?\nAnswer: 100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from {s: 4, n: 2, y: 6, p: 1, h: 1, i: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41051142 is divided by 1689?\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 - n**2 - 10*n**3 + 10*n**3.\nAnswer: -n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 10*j + 17*j + 15 = 6*j, -5*a + 5*j = 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 3*y - 55, 2*y = b + 6*y - 30. Let v be (-17)\/(-3) - (-1)\/3. Let n = b - v. Solve 2*k + 6 = n*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yooy when four letters picked without replacement from ooyoyoooooooo?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17844*y + 17840*y - 18 = 3*t, 0 = 4*y - 3*t - 42 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -17*l + 26. Let u be m(-5). Suppose u = -5*q + 6*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -181 + 183. Let j(o) = o**3 + 4*o**2 - 7*o - 5. Let g be j(-5). Suppose 4*d = -2*p - 18, 2*d - d - 3 = p. Sort w, 3, g, p in decreasing order.\nAnswer: g, 3, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59336 and 1024.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.132, 1, 1354\/7 in descending order.\nAnswer: 1354\/7, 1, 0.3, -0.132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49689 less than 0.30092?\nAnswer: -0.19597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -794680, -1589343, -2384006, -3178669?\n\"Answer: -794663*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ynms when four letters picked without replacement from {w: 1, s: 8, n: 1, o: 2, m: 1, y: 2}?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 414\/12*(0 + -2). Let h = x - -484\/7. Sort 0.4, h, -2\/13 in descending order.\nAnswer: 0.4, h, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1 - 3 + 1. Let u(o) = -o**3 + 5*o**2 + 7*o - 10. Let y(l) = -3*r(l) + u(l). Calculate y(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 59 + 175. Suppose -4*r - 22 = -3*q, k = 5*q - 5*r + r. Solve 3*w + q = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2 (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -52414145 (base 6) to base 3\nAnswer: -2212112201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (365745\/105440)\/((12\/32)\/(-1))?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.96 + 2.9600241. Round q to 6 dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1956645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-2) + (-170)\/20. Which is smaller: n or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 159.26 + -163.26. Suppose 4*y = -y. Sort h, y, 4, -11.\nAnswer: -11, h, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 6*r - 6*r)*(4*r - 1 + 1) + (-3*r**2 + r**2 - 4*r**2)*(5*r + 2*r - 2*r) + 2*r**3 - 4*r**3 + 0*r**3.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*z - 25*z - 15*z.\nAnswer: -96*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8059409\/163748 + 43\/6298. Let i = -191\/4 - f. Let h = -115\/52 + i. Which is the third smallest value? (a) -0.4 (b) h (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*s**3 - 14*s**3 - 13*s + 18*s**3 wrt s.\nAnswer: 78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 11*s - 1 + s + 1 - 6*s**2 + 6. Let a(j) = -j - 1. Let o(y) = 12*a(y) + k(y). What is the derivative of o(p) wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-86*l**3 - 1079 + 141*l**3 - 57*l**3)*(2*l + 4*l - 3*l) to r*l**3 + p*l**2 + t*l + w + j*l**4 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 818 = 3*r. Let m = r - -647. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -631525 times -3.39\nAnswer: 2140869.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + -5 + 3*sqrt(425))*-2.\nAnswer: -30*sqrt(17) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94 - 67. Suppose 2*a - 26 = -2*s, 5*s + 4 = 2*a - 1. Calculate the remainder when o is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422100 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2206*h**3 + 1461*h**3 - 938*h**3.\nAnswer: 2729*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*n - 43832 = 287*n + 3*t, -4*n + 43768 = 5*t. What is the thousands digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2))**(-47)*((q**(4\/7)\/q)\/q)\/((q*q*q**(2\/5)*q*q*q)\/q*q*q))**(-1\/3) assuming q is positive.\nAnswer: q**(-3016\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5002032834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 16*l**2 - 5*l - 16. Let d be n(-16). Let o = d - 61. Suppose 3*i = 3, z - 2*i = 6 - o. What is the highest common divisor of z and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7*0.2.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 84220 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, p: 2, s: 7, o: 1, e: 2}. Give prob of sequence ew.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -11*c + 243. Determine h(21).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25380, -3, -69 in decreasing order.\nAnswer: -3, -69, -25380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 6*f**2 + f - 25. Let d be s(-6). Let v = d - -32. Put v, 1\/5, 5, -1 in decreasing order.\nAnswer: 5, v, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*x + 6683 = 0, -5*n + 8*n - 6708 = 3*x. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -459 - -104. Let y = -351 - a. What is the third biggest value in -1, -5\/4, y?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*2\/(-6)*5. Suppose 0 = -44*u + 43*u + 4. Suppose q*h - 154 = -u*b, 5*h = 4*b - b - 98. Calculate the highest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a meter in millimeters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61493427 + 2?\nAnswer: -61493425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000487669 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20\/(-60) + 370678\/21.\nAnswer: 19, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42.7 + -0.4\nAnswer: 42.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-168)\/(-196)*(-14)\/(-3). Solve -2*b = -5*a - 3*b - 19, q*a + 24 = -3*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 139*p**2 + 60*p + 5. Let s(k) = -4*k. What is s(x(o))?\nAnswer: -556*o**2 - 240*o - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.08 (b) 4 (c) -7 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323*f**2 - f**3 - 642*f**2 + 319*f**2.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 11. Let x(d) = d**2 + 3*d - 20. Let w be x(-7). What is the units digit of j(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o - 4*o + 52*o. Suppose -3312 = -45*h + 36*h. Let b(f) = -368*f + f**2 + h*f. Give z(b(p)).\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6541, -6526, -6499, -6454, -6385?\n\"Answer: s**3 + 8*s - 6550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113 + -78. Calculate the common denominator of -38\/7 and 2\/(5\/((-625)\/g)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 258 = 5*b, b + 2*b + 138 = 21*y - 24*y + 6*y for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*p - 4*i + 366, p + i = 124. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-23))\/(12\/(-16))*271\/(-1084).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 847, -4, -9 in descending order.\nAnswer: 847, 2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -43 - (-3 + 1)\/(-1). Let q be (-15)\/((y\/6)\/5). Solve -q = -4*u + 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 1)*(44*216\/1584 + 30\/(-9))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22*-11.\nAnswer: -2.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 9*a**2 + 65*a - 586. Determine r(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 1:36 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6\/(m*m**1*m)*m**(-2\/19)*m*m*m**(-4))\/(m\/(m*m*m**(1\/6))*m\/(m\/m**(2\/3)))**10 assuming m is positive.\nAnswer: m**(112\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.4 + 0.6. Let h = -271691 + 271781. Sort -5, i, -2, h.\nAnswer: -5, -2, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66164 and 1529?\nAnswer: 727804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*w - 245 = 3*r, 5*r + 3*w = -628. Let k = r + 183. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 71*w + 21. Let k(t) = -14*t - 2. Let c(m) = -d(m) - 5*k(m). Let p(z) be the first derivative of 4*z**3\/3 + 1. Calculate c(p(o)).\nAnswer: -4*o**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5658 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2 - 16. Let m = -9 + v. Solve 0*k + 2*z = -3*k + 5, -4*k + 2*z - 12 = m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*z - 0. Let j be (z - -2)*(-36)\/(-3). Suppose 5*t - j = -3*y, -y + 4 = -0*y + 3*t. Calculate the greatest common divisor of 10 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + 1*sqrt(833)*6*-5))**2.\nAnswer: -1680*sqrt(17) + 2998804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 10, 0.35, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 3:52 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3300 and 3630.\nAnswer: 36300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1616*y - 4 + 1621*y + 4.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4391719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 8*c**2 + 5*c - 9. Let u be j(-7). Let l(x) = -x**3 + 8*x**2 + 6. Let z be l(7). Calculate the highest common divisor of u and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -259480 - 19?\nAnswer: -259499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -61413010 to the nearest one million.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-136)\/(-68)*(-9)\/(-6). Solve 3*j = r*u + 2*u - 20, -2*u = -4*j - 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530650275?\nAnswer: 3, 5, 7075337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 820000 - 0*(-5)\/15. What is c rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 637907 or 3189538\/5?\nAnswer: 637907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6731*v + 255783. Calculate a(-38).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-743145)\/309)\/185)\/((-1)\/((-4)\/(-1)))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (33\/5)\/(256\/(-32)) and -1\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3) - (-58)\/6. Suppose 0 = 2*d - 2*j, -5*j + u + 5 = -2*d. Let i be -1 + -1 - ((-90)\/(20 + -10) + 3). Solve -5*a = n + i*n - d, 2 = a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q. Let p(r) = 4*r. Let m(j) = 5*p(j) + 6*u(j). Let y be (-3)\/(-2) + 52\/8. Let h(d) = 10*d**2 - 13*d**2 + y*d**2. Calculate m(h(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -103298 divided by -6.\nAnswer: 51649\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 363*n**5 + 84*n**5 + 309*n**5 - n**3 + n**3 - n**5 + (n - n**2 - n)*(n**3 + 3*n**3 - 5*n**3) + 6*n**5 - 3*n**5 - 2*n**5 + 2*n**5 - 3*n**4 + 3*n**4.\nAnswer: 759*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d - 6. Determine b(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 7. Suppose -k*a - 16 = -6*a. Solve -a = 4*r - 6*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/3 + 28502*t**2\/3 + 129798928*t\/3 + 184208434528\/3.\nAnswer: 2*(t + 2819)*(t + 5716)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m**2 + m + 1. Let l be d(-1). Suppose -13*c + 95 = -256. Calculate the remainder when (-1)\/3 - (-320)\/l is divided by c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -978*w + 52. Let s be v(1). What is s rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**2 + 24458*a + 4923765 = 0.\nAnswer: -24255, -203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - r + 8 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (156306 + 155834 - 316109 - 2*b)*(0 - 5 + 3).\nAnswer: 4*b + 7938","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -3 + (-46)\/(-6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -491, 1 in increasing order.\nAnswer: -491, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/10)\/(198\/40 - 5). Let j be 2\/(1\/1 + a\/(-24)). Let t = 0.4 + -2.4. Which is smaller: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-700)\/(-180) - 1\/(-9). Solve 3*b = 3*j - 15, y*j + b + 2*b + 15 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + 1 + sqrt(11)) + -2)**2*-3 + 1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*z - 212 = -184, -5*y = 3*z + 8. Suppose 83 + 61 = -4*r. Let i = y - r. What is the greatest common factor of 24 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -2, 122 in decreasing order.\nAnswer: 122, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 11*h - 46 = y, -4*h - 3*y = -52. Suppose -4*i = -30 + h. Suppose -i*t - 385 = -5*k, 4*t + 69 - 265 = -3*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 13*v = -79 - 63, 4*r - 4*v = 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 175\/3*g**3 + 262 + 0*g**2 + 13*g. Differentiate v(k) wrt k.\nAnswer: 350*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8167129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.35 - 10.35. Suppose -4 + 0 = -4*q. What is the nearest to -2\/5 in v, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -3*v + 77 - 68, -2*w + 0*w + v = 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66211 take away -2022.3071?\nAnswer: 68233.3071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v + 15*v - 17*v - 7 + v**2. Let i be m(10). Determine n so that -13*n - 3*n**2 + 0*n**2 + 13*n - 1 + n**3 + i*n = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/3 - 2624*h\/3 - 860672\/3 = 0. What is h?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 584500 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57504 = -294*r - 1503*r for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 + 3*w**3 - 2*w**3)*(1 + 2 - 4 + (-2 + 3 - 2)*(-4 + 4 + 2) - 2 - 3 + 3)*(3 - 1 - 1).\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -462 divided by 154\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51132581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8)*c*c)**(-49)\/(c**5)**(-31) assuming c is positive.\nAnswer: c**449","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1.6925 * 1025\nAnswer: -1734.8125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127 + 127 + 19*w**3.\nAnswer: 19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -81, -192, -347, -546?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + 27. What is the lowest common multiple of y and 16?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19221 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212, -518, -978, -1670, -2672, -4062?\nAnswer: -5918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 1355 = -3*h. Suppose 0 = 3*q + z - 1314, -398 = -4*q - z + h. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*f**2*i**3 + 22133*f*i**3 - 392139*i**3 wrt f?\nAnswer: 18*f*i**3 + 22133*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -175*r**6\/2 + r**3\/3 + 4329*r**2\/2 + 26*r - 82. What is the second derivative of g(d) wrt d?\nAnswer: -31500*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**5*v - 14237*i**2*v - i*v + 2*i + 14750 wrt i?\nAnswer: 40*i**3*v - 28474*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*f - 18, 3*t + 6 = 2*t - 5*f. Let w be -11*(-4)\/t*-4. Let k be (w\/33)\/((-1)\/9). Solve 3*n + 0 = k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h - h + 3*h)*(1 - 1 - 4) - 26*h + 4*h - 4*h)*(-3 + 0 + 4).\nAnswer: -34*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 5*b**4\/24 + 5*b**3\/6 + b**2. Let v(a) = -2*a**3 - 17*a**2 + 35*a + 46. Let l be v(-10). Give y(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 2*t**2 + 9*t - 2. Give k(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122121 (base 3) in base 2?\nAnswer: 11110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 5, 2, -5, 13 in descending order.\nAnswer: 13, 5, 2, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7263 + 7285. Solve -5*l + 4*t = y, -t = l - 10 + 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 294979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143545.14235 + 3.14235. Let h = b - -143932.598. Let u = -391 + h. Round u to 2 dps.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52427 (base 9) to base 14\nAnswer: c884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Suppose 3*n - 5 = x*o, -2*n + 4*o - 13 = -3. Suppose -51 = -3*q + 2*k, n*q - q - 88 = -4*k. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28961121 at least 28961121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1657962 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6131090.\nAnswer: 2, 5, 7, 87587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**4*y**2 - 83967*i**2*y**2 + 41*i*y**2 + 3*i - 25*y**2 + 2*y - 2 wrt i?\nAnswer: 36*i**2*y**2 - 167934*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 24 = -4*m. Suppose -5*h + 4 = 2*t, -2*t + 12*h = 15*h - 8. What is the remainder when m is divided by (t\/(-3))\/(55\/15 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y + 2*y**4 - 3*y**4 - y + (-2 + 2*y**4 + 2)*(4 - 2 + 0) + 22*y**4 + 30 - 30 + (6*y**2 - 3*y**2 + 0*y**2)*(2*y**2 + y**2 - y**2).\nAnswer: 31*y**4 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*s - 27 = -84 + 101 + 748 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504983 is divided by 310.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 4*i**5 - 42*i**4 - 39*i**3 + 40*i**2 + 9*i + 4790. Find n such that h(n) = 0.\nAnswer: -1, -1\/10, 1\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3360 + -349. Is x >= 3012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 121*y**2 - 3*y - 3. Calculate r(-1).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q + 5 - 1 - 5. Let k be w(-2). Let i = 0.3 - 0. Which is the nearest to -1? (a) k (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*q - 3*o, -q + 16*o - 14*o - 5 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2726 divide 47653206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*n - 28*n + 14 - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31357*f**5 + 1427*f + 3?\nAnswer: -627140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1048 - 390. Let b = 1 + 4. Suppose 0 = 6*o - 3*o + b*j - v, -3*o + 640 = -4*j. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(1\/3)*w))\/w*w*w*w*w**(-2\/11)*w\/(w*w**5)*w*(w\/w**(5\/4))\/w)\/(((w\/w**0)\/w)**8)**(2\/103) assuming w is positive.\nAnswer: w**(-497\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 10*u**3\/3 + 87*u**2\/2 + 17*u + 1. Find the first derivative of v(g) wrt g.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**27\/b**(-3\/19))\/(((b\/b**(-1\/13))\/b)\/(b**(13\/4)\/b)))**(24\/5) assuming b is positive.\nAnswer: b**(173874\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 326328 and 3524?\nAnswer: 287494968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l + 13. Let c(p) = p + 3. Let r(h) = -26*c(h) + 6*x(h). Let s(t) be the third derivative of -t**5\/15 - 14*t**2. Give s(r(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 20 = -y. Let f(j) = -j**3 - 4*j**2 + 3*j. Let d(l) = 3153*l + 36. Calculate the lowest common multiple of f(y) and d(0).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5 (b) 91 (c) 1\/2 (d) -0.2271 (e) -1\/12 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 9.92, -0.1, 5\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**3 - o**2 + 29*o - 4. Give b(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/14856 and -19\/18?\nAnswer: 44568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32 and 5.1.\nAnswer: -163.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 608 - 46*q - 302 - 306.\nAnswer: -46*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 0 - 1 + 9*b - 3 + 1. Let p be t(2). Solve -6*a + p = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22730 - -22726. Let y(h) = -h**3 - 6*h**2 - 9*h - 4. Give y(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5904 + -5901. Let f = 0.3 - 0.8. Let x = 7 - 3. Which is the nearest to -1\/4? (a) x (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w + 362. Calculate the remainder when 246 is divided by m(-30).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*u - 5*d - 126, 129 = 6*u + 3*d. Solve u = -15*k - 96 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + t = 10, 4*w + 4*t + 8 = 6*t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 13 + 3 = 2*o, 0 = 4*o - 4. Let f = 25 + -15. Let v = t + f. What is the highest common divisor of 6 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (6 - 2) - -8. Suppose -2*d = -q*d + 20. Let j be (-2)\/((16\/6)\/d). What is the second smallest value in 1\/5, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**3 + 4*p**3 - p**3)*(-74 - 535 - 240 - 170 + 166) in the form u*p**2 + n + x*p + i*p**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1085851us in minutes?\nAnswer: 0.000000035143085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26792*q - 3 + 27693*q + 30106*q - 6290*q - 17390*q.\nAnswer: 60911*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-3))\/((-33)\/(-9)). Let o be (-3 - -3) + (-2 - -21). Let u = 20 - o. Which is smaller: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 0 + (0 - 4 + 2)*(-2 + 2 + 1))*(78*p**2 + 16*p**2 + 15*p**2) - 4*p**2 - p + p to g*p**2 + x + i*p and give g.\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 7:21 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14507 divided by 163?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 2 + 0)\/(-1). Let w = 6 - j. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:43 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49972189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2238 - 2.2238. Which is the nearest to u? (a) 4 (b) -0.3 (c) 2\/15 (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2832*b**5 - 3*b**2 + 128732*b wrt b?\nAnswer: 56640*b**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*b - 34. Let g(p) = -2*p**3 + 17*p**2 - 22*p + 9. Let x be g(9). Let j = -200 - x. Calculate the remainder when j is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10332.15 to the nearest 10.\nAnswer: -10330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 9*a**2 - 30*a - 30. Let d be z(-1). Suppose 0 = 4*g - d*q + 8*q - 1216, 304 = g - 3*q. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*h - x, 2*h + 2 = h - 4*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3385 (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-two fifths of a milligram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2 + 6*n + 3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -0.44 (b) 0.1 (c) -958\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 101, 190, 279?\n\"Answer: 89*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 7:15 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 532 + -10?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30618780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -426?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -279 less than 662?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-689)\/(-212) + (-1)\/4. Let d(z) = 3*z - 2. Let w be d(2). Solve -5*x + w*x = -4*m - 14, m + 9 = a*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, c: 4, m: 8}. What is prob of sequence cc?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-8)\/(-77) + (-4)\/14?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220569148?\nAnswer: 2, 55142287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.31.\nAnswer: -1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -824.99 and 0.26.\nAnswer: -214.4974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**2 - 4*x + 5. Let y(r) be the first derivative of 2*r**3\/3 - r**2 + 2*r - 27. Give -3*v(s) + 7*y(s).\nAnswer: -s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -7. Let s(r) = 3*r. Let i(d) = -d**2 - 2*d + 1. Let v(m) = -4*i(m) - 3*s(m). Is v(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133404 - -10?\nAnswer: -133344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 747*t - 2300. What is the tens digit of r(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10124689.\nAnswer: 10124689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + 4. Let x = 157 + -155. Suppose -u - x*u = 2*o - 170, 4*u = 5*o + 265. What is the smallest common multiple of k and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, 1\/3, 1\/6, 0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 446 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10313)\/(-3) - 1 - (-15)\/45?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7 + 1 + n - 2 - 31*n wrt n?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2520.\nAnswer: 10080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35524.\nAnswer: 2, 83, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/6)\/(l**(5\/7)\/l)*l**(-4\/5)\/l*l*l\/(l\/l**(1\/3)) assuming l is positive.\nAnswer: l**(-73\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 45 = 9*v - 5*w, -3*w - 21 = 0. What is the nearest to v in -2, 4, -42?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 50 = -8*a, 8013*b = 2*a + 8016*b - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 128*v**2 + 62*v**2 + 64*v**2 + 0.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -v**2 - 8841995*v + 371102163?\nAnswer: -2*v - 8841995","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (0 - (-1 + 4 + (5 - 7))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 19*o + 11. Let m be (-2 - -3)\/2*14. Let j(b) = -b**2 + 10*b - 5. Let a(l) = m*j(l) + 4*v(l). Let a(z) = 0. Calculate z.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/880194602 and 23\/14.\nAnswer: 880194602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4112124 (base 5) to base 7\nAnswer: 364664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -23. Suppose 4*f + f + 12 = 3*y, 3*y - 4*f - r = 0. Let b be 1 + 0 + y + 2. Solve 0 = -b*g - o - 3 - 6, 5*g = 4*o - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from xxgggggtgtggtxtggg?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 18*u - 8. Let q be m(-15). Let z = -64 + q. What is the tens digit of -105*((-3)\/1)\/(z\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 139 - 4*y**2 + 72.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -511624691\/957121 + 1\/87011. Let r = 534 + j. Let k = 482.2 + -481.2. What is the smallest value in k, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/54*58 - 5 and (-40)\/(-14)*((-6174)\/(-891) + -7)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 + 7 = 2*n. Let y = 10 + -5. Suppose -y*k + n = 5*f, f - 5 - 7 = -4*k. Calculate the highest common factor of f and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**5\/60 + n**4\/4 + n**3\/2 - 2*n**2. Suppose 11*w - 19 - 41 = -5*d, 3*d - 23 = -4*w. Calculate c(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20*b + 8 - 19 + 12)*(22*b + 77 - 37 - 41) to the form g + s*b**2 + y*b and give s.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 12*s**2 + s + 18. Is o(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 38*u + 200 = 0, 113*z + 0*u - 18 = 117*z - 2*u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*x - 14*x + 10 + 32*x)*(-304 + 275 - 351 - 162).\nAnswer: -1084*x - 5420","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 13*k + 2. Let i be z(-13). Solve 2*q = -2*w + i, w - 25 = 2*q + 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*h + 36 + 9, -n - 3*h = -19. Solve 3*u = -n*s - 11, -2*u + 9 - 3 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - -9. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -9*i. Let v(b) = 479*b**2 + b. Determine v(l(c)).\nAnswer: 38799*c**2 - 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -1 (c) 0.5 (d) -3\/2243 (e) -0.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -v - 11 - 3, 0 = -4*v + q - 56. Let r be (-2 + 1 + 0)*v. Let f(g) = -25*g - 123. Let j be f(-5). Solve 4*h + r = -j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 3\/5, -1562, 29?\nAnswer: -1562","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4 - 12532050*o**3 + 52350759067500*o**2 - 72895814463540375000*o = 0. Calculate o.\nAnswer: 0, 4177350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*p + 19 - 82. Which is smaller: 752 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -147466, -147462, -147458, -147454, -147450, -147446?\n\"Answer: 4*w - 147470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -200?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8985*g**2*j**2*m - 3*g*j**2 + 12*g*j - g + 2*j**2*m - 6 wrt g.\nAnswer: -17970*j**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 30\/11, 0.4, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + -37. What is the common denominator of 107\/12 + s\/36 and (-6)\/40*300\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 12:20 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2 + 1606374*a = 0. What is a?\nAnswer: -803187, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1414130 and -3860.008?\nAnswer: 1410269.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(637))*-6)**2 - sqrt(637)*-3*-1)*-2.\nAnswer: -45936 + 1050*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 9 + 3 = 0. Let w(s) = s**3 + 4. Is w(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 11*m**2 - 17*m - 17. Let w(g) = 3*g + 6 - 7*g**2 + 3*g + 3*g**2. Suppose 4*k + 4*u = -80, -u = -0*u + 3. Determine k*w(l) - 6*x(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -653*s = -5*f - 657*s + 65, 6*s = -3*f + 75 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r - 28*r**2 - 23*r**2 - 3 + 59*r**2 - 29*r**2.\nAnswer: -21*r**2 - 8*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 120 - 131. Let y = u + 10.989. Let r = 0.011059 + y. Round r to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5677*p**3*y**2 + 23*p**2*y + 25*p**2 - 2*y**2 wrt p.\nAnswer: -34062*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**3\/3 - 4*r**2 - 3*r. Let t be o(-6). What is the first derivative of 4*a**t + a**4 - 3 - 7*a**4 wrt a?\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 213*u - 107*u - u**2 - 20 - 2*u**3 - 108*u in the form n + f*u**2 + q*u + k*u**3 and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-4\/9))\/m*m\/((m**4\/m)\/m))\/(m**(-3)\/(m**(-4)*m))*((m**8*m)\/m**(-1\/6))**(4\/5) assuming m is positive.\nAnswer: m**(61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-34\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10011011000 (base 2) to base 8\nAnswer: -2330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 275371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 834\/475 or -592\/11?\nAnswer: -592\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*w = 34, 0 = 2*x + x + 2*w - 62. Round x to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2870412 or 3?\nAnswer: -2870412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2\/49 (c) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/90828 and 89\/1380.\nAnswer: 10445220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2 + 51*q - 35*q to z + t*q and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4455 smaller than -4455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.1 - -5.1. Let c = -10 - o. Let w = c + -7. Put w, -3, -2\/9 in decreasing order.\nAnswer: w, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 7. Let f be n(13). Suppose v - 2 = f. Calculate the least common multiple of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 251 - 250.567. Round o to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 - 8*m - 10 + 1836*m**2 - 1838*m**2 + 26 + 2*m**3 + 7 to z + r*m**3 + h*m + d*m**2 and give z.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 5*o + 76. Suppose n = -o*v + 1376, n + 0*n - 1397 = 5*v. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 73*u + 3. Determine g(1).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71158681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6002275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/33 + 4\/11. Let q = -0.2 + -0.3. Let k = q - -1. Which is the third smallest value? (a) k (b) p (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 3*r + 3. Let z be y(3). Let s be (-100)\/80 + 4263\/588. Sort 0, z, 1, s in increasing order.\nAnswer: 0, 1, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -3 (c) 1\/5 (d) -146 (e) 10362\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 5*u**4\/6 + 4796*u. Let r(m) = -5*m**2. What is r(p(o))?\nAnswer: -500*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**4 + 112823*c**2 + 147791 wrt c.\nAnswer: -8*c**3 + 225646*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.89 + -0.09. Let r = a - -0.2. Let g = 0 - 0.3. What is the third smallest value in g, -1\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -3 (b) 3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163022, 652504, 1468302, 2610410, 4078822, 5873532, 7994534?\nAnswer: 10441822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -15. What is the closest to z in 2, 24, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000259 rounded to six dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6175032 divided by -2058344.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, c: 2, u: 6, m: 4, b: 4, w: 3}. Give prob of picking 1 b and 1 c.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/4)\/(((-4443850)\/564)\/305)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 7, 1, -7, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, o: 3, u: 1, q: 3, w: 1}. What is prob of sequence ooq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69323112 divided by -130552.\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-132)*-6 - (-12)\/33.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s\/(s**(2\/7)*s)*s*s))\/s)**(2\/49)\/(s\/(s\/s**(-2\/5))*s)**(-2\/99) assuming s is positive.\nAnswer: s**(-7894\/56595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2 - 4 + z + 3 + 0. Let s be d(-1). Solve -4 = -4*a - s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 - 4*l + 8. What is v(3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 5*c - 21, 3*c = 3*w - 5*w + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1671831 and 4029?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*m**2 - 7*m**2 - 58*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48.32 * -0.49.\nAnswer: 23.6768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/7))\/(k*k**(1\/26)*k) assuming k is positive.\nAnswer: k**(-137\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-1 + 8 - 15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (0 + -3))\/(107\/17976). What is the greatest common divisor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -1\/40*a**5 + 0*a + 0 + 1\/2*a**3 + a**2 + 1\/16*a**4. Find n, given that i(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/4, 22151, -0.2, -0.1 in descending order.\nAnswer: 22151, -0.1, -0.2, -9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from -18.5832.\nAnswer: -26.5832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 358147 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*j**3 + 34*j**3 - 10*j**3 - 16*j**3.\nAnswer: 52*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/5))**48)**(-3\/25))**(-16\/7) assuming o is positive.\nAnswer: o**(2304\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -223696*k**5 - 3*k**3 + 5*k**2 + 60*k - 755 wrt k.\nAnswer: -13421760*k**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2. Let v(x) = x + 516. Determine r(v(c)).\nAnswer: -2*c**2 - 2064*c - 532512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 190 + 2847. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/7))**(15\/2)*(q\/q**(-4\/3))\/(q**(1\/5)*q) assuming q is positive.\nAnswer: q**(2263\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 18 = -0*w. Let m(p) = p - 7. Let v(y) = -1. Let t(z) = 3*m(z) - 12*v(z). What is the least common multiple of 18 and t(w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4 - -0.4. Let d = 0.7 + 2.3. Let q be ((-70)\/(-44))\/5 + 3\/(-6). What is the second biggest value in q, d, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.212169 to three decimal places.\nAnswer: -0.212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 731\/102 + (1 + 0)\/(-6). Suppose 15 = y*q - 6. Differentiate 23*i**2 + 2*i**q - 84 + 45 + 50 - 4*i**3 wrt i.\nAnswer: -6*i**2 + 46*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -61 - (77 - 162)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0. Let y = -2\/10039 + -10031\/40156. Which is the biggest value? (a) -4 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9241*s**5 + 8557*s**2 - 555785052*s wrt s?\nAnswer: 184820*s**3 + 17114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-15)\/(-3))*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(20)*4 + (1*sqrt(20)\/sqrt(4) - sqrt(5)))**2.\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 20*h**2 + 128*h - 95. Give b(25).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 13.4, -1003 in descending order.\nAnswer: 13.4, -0.05, -1003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 622195?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-20) - 237342\/(-140). Calculate the least common multiple of ((-6)\/15)\/(-1 - (-1692)\/m) and 6.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/13)\/x**10*((x\/x**0)\/x)**(2\/51) assuming x is positive.\nAnswer: x**(-132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**4 + 62434*f**3 + 67056804*f**2 + 23826832344*f + 2816800916544 = 0.\nAnswer: -354, 63496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -263396*q**2 + 2*q + 198227?\nAnswer: -526792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**3 + 6*k**3 - 7*k**3 + k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3564, -7132, -10700?\nAnswer: -14268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, u: 9}. What is prob of picking 4 v?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12343934 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 21*g**2 + 25*g + 93. Calculate the remainder when m(-19) is divided by 91.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**4 - 10*a**3\/3 + 260*a**2\/3 + 680*a\/3 + 112 = 0?\nAnswer: -6, -2, -2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 4*g + 18 = -10*o, 3*g = -2*o + 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 + 123?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0373627987 to three dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -23 and 12.7.\nAnswer: -10.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -267 + 267.0147. What is k rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**3\/3 - 5*s**2 + 7*s. Find the first derivative of q(a) wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 56 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + -30 + 45 + 2 + -14 + -11.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztttzttttzzttz. What is prob of picking 2 z?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxdxdx. What is prob of sequence ddx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22908, -22857, -22796, -22719, -22620, -22493, -22332?\n\"Answer: k**3 - k**2 + 47*k - 22955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*m + 51*m - 21 = -3*y, 3*y = -5*m + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = s - 29, 5*g + 7 = 32. What is the remainder when 67 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256534.7709 rounded to the nearest one hundred?\nAnswer: 256500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118304822?\nAnswer: 2, 73, 810307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2644976, 5289951, 7934926?\nAnswer: 10579901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -21528155 and -21528161 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(-1 + 2 + 1)*((-b + 6*b - 3*b)*(-1 + 4 - 1) + (1 - 2 + 2)*(-1 - b + 1) - 2*b + b - b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1858 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 127*l**3 - 2*l**2 + 2*l - 1. Is 21 a factor of g(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o + 3. Let g be l(4). Let z be ((-6)\/g)\/(9\/(-30)). Let m = 0 - z. What is the smallest common multiple of 2 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((((z**(-37)\/z)\/z)\/z*z)\/z*z))\/z)**(-3\/11) assuming z is positive.\nAnswer: z**(-117\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28293281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5231417 - -5.3?\nAnswer: -5231411.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -269, -615, -963, -1313, -1665, -2019?\n\"Answer: -u**2 - 343*u + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 3*r**3 - 26*r. Let z(y) = -y**2. Determine l(z(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9916\/(-14874))\/(1\/8).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 41*y**2 - 130. Let h(b) = 3*b + 3*b - 4*b. What is o(h(l))?\nAnswer: 164*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d - 696. Let r = 348 + d. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23502 is divided by 23283.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194*w**2 - 295*w + 295*w + (w + 3*w + 0*w)*(-3*w + 3*w - w) to m*w**2 + s + b*w and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 446124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 3978 = 11*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 629.79 + -138.596018.\nAnswer: 491.193982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 6 + (10 - 24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14072546 (base 8) in base 4?\nAnswer: -30013111212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2626200 (base 11) in base 12?\nAnswer: -16333b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -565*c**6*u + 35*c**3*u**2 - 43*c**2*u**2 + c**2 - 185*c*u**2 - 3*c wrt c?\nAnswer: -67800*c**3*u + 210*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8463, 8496, 8529, 8562, 8595, 8628?\n\"Answer: 33*x + 8430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 9782478?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-126))\/((-84)\/(-7448))*((-11607)\/146)\/(-53)?\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -11045.48 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (-112 - -57 - 33).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 59*c. Let t be u(1). Let x(w) = 25*w - 48 - w**3 - 10*w + t - 6*w**2. Is x(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0.1. Let k = 0.2 + b. Suppose 7*z + 35*z = -4*z. What is the closest to z in 4\/7, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 385*x**2 - 1475*x - 1095.\nAnswer: -5*(x + 1)*(x + 3)*(x + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 - -53. Let u = a + 1. Let y = 0.09 + 0.01. Sort u, y, -2\/7 in increasing order.\nAnswer: -2\/7, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 5, -0.26, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1205430 (base 6) to base 16\nAnswer: f7da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439608?\nAnswer: 2, 3, 13, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12153128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 20. Let u be j\/(-4) - (-3)\/(-12). Solve -f = -3*f - u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42023\/3 + -13847. Which is greater: f or 160?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 at least -1\/14011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (3 + (7 - 7))) + 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5236717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 78357791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 1. Let n(r) = -4*r + 3. Let y(w) = -3*h(w) + n(w). Let p be 1\/(5*(-1)\/(-10)). Let g(c) = -c**2 + 3*c**2 + 2*c**2 + 4*c**p. Give g(y(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 513*z - 6004 = 509*z. List the prime factors of z.\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(847) + sqrt(847) + sqrt(847) + 0)*5 + sqrt(847) - sqrt(847))*6 + (1 + sqrt(847))*5 + 2)**2 + -4)*-4.\nAnswer: -30576880 - 58520*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 + 315\/4. Let l = 32.947 - 33. Let n = l - 0.047. What is the nearest to -2 in k, n, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 106476*i**2 + 55*i + 57. Is c(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(sqrt(891) + -3*sqrt(891)))\/((sqrt(20)\/sqrt(160) - sqrt(2)) + sqrt(4)\/(sqrt(6)\/sqrt(3))).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 379, 574, 777, 994, 1231?\nAnswer: 1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16394*b - 5310*b - 2783064 - 382518 = 6310*b for b.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*x - 340, -8*j = -4*j + 2*x - 272. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133 + -92. Let f = n + -37. Let w = -0.83 - 0.17. Sort f, 0.5, w in descending order.\nAnswer: f, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(104) + sqrt(104))*6 + sqrt(104))\/sqrt(8).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792 + 83 + 181 = 32*k. Calculate the lowest common multiple of (7 - -2)*(-2)\/(-3) and k.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94243 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 15405?\nAnswer: 15397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1008) - 4*(sqrt(252) + sqrt(28)))\/(sqrt(28)\/(sqrt(7) + (sqrt(112) - sqrt(112)*-1))).\nAnswer: -90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92.2 - 10.2. Which is the third biggest value? (a) -4 (b) -0.01 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 272903812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h = 3*h. Suppose 0 = 2*o + 3*y - 10, o + 2*y - 6 = -0*o. Suppose -12 = 2*i + 2*j, 2*i + h*j - o*j = 8. Is i <= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11, 1.9, -2, -0.14, -3\/5, -0.5, -0.05?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 330.235 to the nearest integer.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.940097 times 0.094?\nAnswer: -0.370369118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 199690 to the nearest 1000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 8 = 4*i, v + 11 = 6*i - 2*i. Suppose -5*g = p - 11, p + 2*p = -5*g + i. Solve 6 = -0*d + g*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -32 and 0.088096.\nAnswer: -31.911904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 1:48 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -3. Let o(q) be the second derivative of -56*q**5\/5 + q**3\/6 + 3203*q. Is o(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -65*c**2 + 234*c + 102. Give f(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0424 - 308.9576. Let f = y + 306. Put 0.5, 0, f, 3 in increasing order.\nAnswer: f, 0, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15885513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4187*a**2 - 150733*a + 9. Give w(36).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 6 = 3*g, -2*w = 860*g - 855*g + 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -269.55 and -0.16822.\nAnswer: -269.71822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48303746*b**4 + 582478293 with respect to b.\nAnswer: 193214984*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 d when three letters picked without replacement from {q: 6, d: 13}.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278 (base 15) in base 6?\nAnswer: 30122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 times 51?\nAnswer: 17187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3 - 2. Let o(f) = 3*f + 17. Let b(l) = -l - 2. Let p(h) = -2*b(h) - o(h). Let q be p(-8). Put r, q, 3, -2 in decreasing order.\nAnswer: r, 3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3 (b) -5 (c) -1 (d) 1047936\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2 - 5 + 227*v**3 + 2 - 1021*v**3 to g*v**2 + a*v**3 + q*v + p and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m = 4. Let d(p) = -1 - 2 + 3 + p**m. Let o(n) = -2*n**2. Calculate o(d(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054641 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 10:14 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qquq when four letters picked without replacement from quuqquq?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -84 + (2 - 3). Let w = m + -18. Let g = -74 - w. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 9*p + 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (35 - (-13 - -29))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 2*y - 5*n, -6*y + 10*y = -3*n - 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1231186 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.763, 1\/4, -6\/13, 38?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (360\/(-32))\/((-3)\/32). Let s = -117 + d. Solve -s*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 greater than or equal to -1262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 438 minutes before 7:00 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 3 + 4)*(1 + 1 - 3) - 1 + 1 - 2)*(-34*x**2 + x + 7*x + 38*x**2) as s*x + o*x**2 + l and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-830)\/7304*4\/(-5).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23224.372 from -235.\nAnswer: 22989.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - c0909?\nAnswer: -c090b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/27)\/(7\/(-63))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n**(-3\/5)*n*n)*n)\/n)\/n)\/n*n*n**0\/n*n**(-4)*n\/n**(-3))**(-2\/47) assuming n is positive.\nAnswer: n**(24\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 + 1371*n**2 + 4817*n + 4139. What is c(689)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5991, -23383, -52183, -92391, -144007?\n\"Answer: -5704*s**2 - 280*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 3*s - 13, 4*b + 47*s = 49*s + 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 796648*q - 5576532. Determine t(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-10)*(-2)\/3. Let v be (-19)\/(-6) + k\/(-6). Let f = 4 - 9. Put -2, v, f in decreasing order.\nAnswer: v, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + 3*v**2 - 4*v**2)*(-1 + 3*v + 1)*(3*v - v + v - v - 2*v + v + (-4*v + 4*v - 2*v)*(-4 + 6 + 0) - v - 4 + 4 - 3*v - v + 6*v)*(v + 4*v - 3*v).\nAnswer: 60*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*r + 2. Suppose 5*j - 3 = -3*f, -f - j - 3 = -4*f. Solve 4*w - r = -5*u + f, -3 = w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, w: 1, o: 4, j: 1, g: 5}. Give prob of sequence ogj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-7)*p**(-5\/11) assuming p is positive.\nAnswer: p**(-82\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*u + 12 = 0, t = 6*t + u - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*h + 7*h + 132. Which is the closest to 0? (a) 1\/8 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 1094, -546, -5, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -838387 (base 13) to base 7.\nAnswer: -35062513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t. Let h(i) = -377*i**2 - 2. Calculate w(h(x)).\nAnswer: 1508*x**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(-5\/8))\/k)\/k*k)\/(k*(k*k**(-4\/5))\/k))\/(k\/((k**(-10)\/k)\/k))**(-15) assuming k is positive.\nAnswer: k**(7817\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 l, and 1 d when three letters picked without replacement from lolkoldouukdd.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -482 - -490. What is the lowest common multiple of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -268*v + 30. Let m(d) = d - 6. Determine g(o) + 5*m(o).\nAnswer: -263*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (5 + -7 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-25) - (18 - (-10)\/5200*-9112)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -319*q - 488. What is the remainder when u(-8) is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 3*w**2 - w**2)*(4*w - 3*w - 8*w).\nAnswer: -35*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17082, -34067, -50962, -67767, -84482, -101107, -117642?\n\"Answer: 45*m**2 - 17120*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -1\/23 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/432 and 91\/267244.\nAnswer: 28862352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137049 + -30973127\/226. Find the common denominator of w and -9\/50.\nAnswer: 5650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 268 + 258. Let n = 28 - 30. Let l be (-45)\/(-9)*(-1 - n). Solve 2*o = -x, -x = x + l*o - s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 = 184. List the prime factors of g.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 23*s - 1755. Let u be w(-32). Solve -16*j + 59 = -u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2408 and 711951?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5846, -5850, -5856, -5864, -5874, -5886, -5900?\nAnswer: -5916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.0549782 milligrams?\nAnswer: 0.0000549782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 621544?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15671795, 15671796, 15671797, 15671798, 15671799?\n\"Answer: d + 15671794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 19, -254, -5, 0 in increasing order.\nAnswer: -254, -5, 0, 1, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 <= 1943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-6)*24\/(-2). Suppose 0 = -2*p + c*p - 52. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1415 and 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from vvvsssvjvssvvs.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1253268 and 60?\nAnswer: 6266340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2607)\/(-198) - 2\/12. Let y(x) = x**2 - 20*x + 91. Let f be y(a). Suppose 0 = -4*p - 10 - 10. Sort 5, p, f in increasing order.\nAnswer: p, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 0, -11041 in ascending order.\nAnswer: -11041, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 6:18 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 986 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2 + 2*t + 1362. Let w be o(0). Let m = w + -931. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99443 is divided by 775.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/3405888 and -179\/63510.\nAnswer: 493853760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*h + h = 16800, h = 4*z - 16791. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/418 and 33\/80.\nAnswer: 16720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10*k = -14*k + 5127, 5*k + 5091 = v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3872) + (sqrt(3872) - 1*sqrt(3872)) + sqrt(3872))**2*-2 - sqrt(3872)) + sqrt(3872)*2 + 0.\nAnswer: -30976 + 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -d + 213, 267 = 212522*o - 212527*o + 2*d for o.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -25\/2, 139, 1, -24, -0.11 in decreasing order.\nAnswer: 139, 1, -0.11, -1, -25\/2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-2 + -1)**2 + (sqrt(153)\/sqrt(9))**2*-5.\nAnswer: -16 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40109 or -40112?\nAnswer: -40112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-1)*(-21)\/42*(-1)\/7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1622\/(-4))\/((-1)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 n when three letters picked without replacement from ixnccxncicxxnxcicccr.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7994 at most as big as 22.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -16*l**3\/3 - l**2 + l + 4. Let y be h(-2). Let c = 83 + y. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**3\/3 - 3*v**2\/2 + 3*v + 6. Let g(x) = -2*x**2 + 8*x - 8. Let j(d) = -3*g(d) - 8*s(d). Let p(u) = 2*u. What is j(p(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2 - 260*x - 5610. Give z(-42).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145?\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 54 + 1 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*d**4 - 1082800*d**3 - 166584*d**2 = 0. What is d?\nAnswer: -41646, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-15))\/(18\/(-120))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express m - 10*m**3 + 37*m**3 - 2*m**3 + 118*m**2 + 2*m**3 + 29*m**3 in the form b*m + d + v*m**2 + y*m**3 and give y.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5327 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7 = -1. Suppose p - 2 = -5*k + 4, 0 = z*k + 2*p. Differentiate -13*d**3 + k - 9 + 8*d**3 with respect to d.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680021753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 12*x = 240. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-100)\/55 + (-2)\/11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379 + 18*w - 152 - 118 - 112 + 0*w.\nAnswer: 18*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104867\/1210 - -1\/3630. Let b = -86 - k. Let a(t) = t + 1. Let n be a(-6). Put b, n, -3\/5 in decreasing order.\nAnswer: b, -3\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x - 2. Suppose 3*u = z - 3, 3*z - 3*u = z + 6. Suppose -d = 5*i - z + 16, 0 = -i - 4. Let g(a) = 10*a - 5. Calculate d*s(q) - 3*g(q).\nAnswer: 5*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 4*u**2 + 170*u + 77. What is l(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1446317?\nAnswer: 29, 53, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 6*j**2 - j + 30.\nAnswer: (j - 5)*(j - 3)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 71. Let q be 1 + 2 + (-2)\/2. What is the third derivative of 4*v**q - u*v**3 + 48*v**3 - 2*v**4 wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14650, -14913, -15352, -15967, -16758, -17725?\nAnswer: -18868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 32013300210 (base 4) to base 2\nAnswer: 1110000111110000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.101258681 to five dps.\nAnswer: 0.10126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 5*s + 4*s)*(-3*s + 3*s - 4*s**2 + (2*s + 1 - 1)*(-s + 3*s - 3*s)).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + b + 1. Let s(x) = -30*x - 2 + 0*x**2 + 26*x + 4*x**2 - 6. Let d be 2 + 2*6\/(-4). Calculate d*s(u) - 6*l(u).\nAnswer: 2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 195 + 421. Let y = -15297\/2552 - -188\/29. What is the common denominator of y and ((-33)\/l)\/((-27)\/(-500))?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 8691*s + 8687*s - 58 = 0, 5*d = 5*s + 60 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-75)\/3)\/(-1) - 4. Suppose r = -n - 2*n. Is -7 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 645436581 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 - 148 + 789 - 241 - 400.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 46 = 3*g. Solve -2*p - 19 = -g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o + 2. Let q = -7 - -3. Let d = -6 + 17. Let r(l) = -25*l + 71 - 66 + 42*l. Give d*j(c) + q*r(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -17*p**2. Let t = -2061 - -2061. Let j(u) be the first derivative of t*u + 8 - 2\/3*u**3 + 0*u**2. Give f(j(b)).\nAnswer: -68*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmmo when four letters picked without replacement from osodssdssomdszdzrosz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 6:06 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -5. Let h be (-1*1)\/(x\/(-99)). Let y be (-1756)\/(-22) + (-2)\/h. What is the greatest common factor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(80))\/sqrt(8) - sqrt(10)) + 1*sqrt(40))\/((sqrt(875) - sqrt(35) - sqrt(35))\/sqrt(7) - (sqrt(5) + sqrt(25)\/sqrt(5)*4 + sqrt(5))).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**20*p**22\/p)**13)**(-47) assuming p is positive.\nAnswer: p**(-25051)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2 - 11. Let c = s - 4. Let g be c\/(-9) - (-1)\/3. Sort 2, g, 0.1.\nAnswer: 0.1, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -60, -109, -158, -207, -256?\n\"Answer: -49*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1c43 (base 13) to base 12\nAnswer: 2588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 152*z**2 - 20*z - 322. Let g(h) = -51*h**2 + 6*h + 107. Let d(i) = 10*g(i) + 3*v(i). What is the derivative of d(x) wrt x?\nAnswer: -108*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*z + 85*z - 170*z + 1575 = 0. Suppose -v - 3*d + 76 = 0, 0*v - v - 5*d = -80. What is the greatest common factor of z and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 6 - 3\/2*a**2 - 1\/12*a**3 - 9*a. What is t in j(t) = 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/565306 and 19\/10430.\nAnswer: 2826530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 419, -0.3, 2\/3, -0.2, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 2. Suppose -3*j = -8*j + 5. Let o be i(j). Which is greater: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 241, 3 in increasing order.\nAnswer: -2, 3, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + j = -8. Suppose -78 + 12*y**3 + 88 + 8*y**3 - 15*y - 5*y**5 - 10*y**j = 0. What is y?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1\/5, 4, -9\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 5*o - 2. Let c be i(-4). Let b be 8\/(-28) + (-46)\/c. Solve b*v = 2*v - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005595 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -2*l + 3*l - 6, 5*l + 2*v = -9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -4 + (-1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 754*t + 2249. Give o(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 2196?\nAnswer: 6588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*s + x + 16, 5*s - 3*x = 34. Suppose 228 = -4*v - 5*b, s*v = 4*v - 3*b - 64. Let n = v + 104. What is the remainder when n is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 3. List the prime factors of p(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 23490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1134, -1102, -1064, -1026, -994?\nAnswer: -974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -217*n - 26. Let p(x) = 433*x + 45. What is 7*c(r) + 4*p(r)?\nAnswer: 213*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9174.64776 rounded to 0 dps?\nAnswer: -9175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2308 and 192718?\nAnswer: 385436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3973014*y**2 + 905*y + 9987 wrt y.\nAnswer: -7946028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 3*t**5\/25 + 6*t**4\/5 + 6*t**3\/5 - 12*t**2 + 15*t + 132. Factor d(u).\nAnswer: 3*(u - 1)**2*(u + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46 and 414?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.5335 - -16.61. Let m = 15.9099 + h. Let y = m - 13. Round y to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 10*t**2 + 6*t + 28. Let m be o(9). Let d be m\/(-9)*3*6 + 12. Let p(j) = -j**3 + 11*j**2 - 9*j - 13. Determine p(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -23. What are the prime factors of (5\/2)\/(d\/132)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 16. Let f be g(-4). Solve -2 + f = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212405 is divided by 6637?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 10346*g**3 + 9004*g**2 + 9. Let b(c) = -2587*c**3 - 2251*c**2 - 2. Let s(y) = -9*b(y) - 2*r(y). What is the third derivative of s(d) wrt d?\nAnswer: 15546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 - -13.92. Let u = m - 14.3. What is the second smallest value in 2\/9, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19559\/400 - 1374\/25. Let p = -3706437\/68 - -54508. What is the common denominator of j and p?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i = 20*i - 55 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1846164 divided by 4?\nAnswer: 461541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = l - 4*l - j, -2*l = 2*j - 12. Let i be (-3)\/(l*(-2)\/4). Suppose s + 17 = 3*h - 2*h, -5*h - i*s = -71. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000015746 to seven dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from nngnngnnnng.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3373 is divided by 308.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2013 + 134?\nAnswer: -1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8199 is divided by 1956?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78913, 83276, 90547, 100726, 113813, 129808, 148711?\nAnswer: 170522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184780 rounded to the nearest 1000?\nAnswer: 1185000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {t: 1, o: 2, e: 4, x: 1, z: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2590299 is divided by 863137?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 216, 364, 580, 870, 1240, 1696, 2244?\nAnswer: 2890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2. Let m(u) = -1965094*u. What is l(m(f))?\nAnswer: 19307972144180*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-21)*9\/(-81)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6255)\/(-117) - (-15953)\/(-301)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 8:17 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 26766 = -641*q + 637*q, -2*q - 4*o + 13390 = 0. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 69 + -14 - 62?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 6*x**2 - 6*x + 2. Let z(s) = -6*s - 1. Let l be z(-1). Calculate m(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133\/49 - (-8)\/28\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 657 and 66.\nAnswer: 14454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eeeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6 = 0, 4*a - 2*a + 2*m = 230. What is a rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tydy when four letters picked without replacement from tddtydtdtyttt.\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1419\/47 + 63153\/658. Let h = -131\/2 + c. Sort 2, -46, h in descending order.\nAnswer: 2, h, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 = 1. Suppose 28*p + 18 = 26*p. Let g be (0\/p + 1\/x)\/(-1). Sort -3, 4, 6, g in descending order.\nAnswer: 6, 4, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30984?\nAnswer: 2, 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 2*x - 1. Let p(n) = -5201*n**2 - 2 + 2603*n**2 + 2601*n**2 + 6*n. Determine 8*c(u) - 3*p(u).\nAnswer: -u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-45)\/6*8\/(-10). Suppose -u*m - 8 = -5*m. Calculate the common denominator of (-188)\/m + (-2)\/3 and -37\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 61*o**3 - 6*o. Let a(t) = -t. What is 6*a(l) - y(l)?\nAnswer: -61*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.133409 millimeters?\nAnswer: 0.000004133409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kik when three letters picked without replacement from kkkiikikkkkkikkkkkkk.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from emdyeuvd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(240\/(-420) - 9\/(-28)). Let i = 0.03 + 0.07. Which is the nearest to t? (a) -10 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*f - 156*f = -430. Calculate the smallest common multiple of 7 and f.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184932 a multiple of 467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 779, 210.47, -0.2, 0.5 in decreasing order.\nAnswer: 779, 210.47, 0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-342)\/(-96))\/19*(-8)\/(-6). Let t(l) be the first derivative of d*l**3 + 0*l + 3\/16*l**4 - 11 - 3\/4*l**2. Factor t(i).\nAnswer: 3*i*(i - 1)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o. Let b(i) = -669750774*i. Determine b(l(u)).\nAnswer: 2009252322*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(16\/7)\/b*(b\/b**(-2\/67)*b)\/b*((b*b*(b\/(b*b**(2\/19)*b))\/b*b)\/b)**(1\/7) assuming b is positive.\nAnswer: b**(20500\/8911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 18 = -3*h, 0 = 5*h - h + 3*r - 7. Let l(y) = 2*y**2 + 2*y - 2. Let k be l(-2). Let f = -59\/3 - -21. What is the closest to -1 in h, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.978 times -6107\nAnswer: -5972.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1. Let i(m) = 9*m**2 + 2*m + 7. Let p(h) = 6*c(h) - i(h). Let n be p(-1). Let x = -2 - n. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 2\/7, -234, -8, 19, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 23*i**2 - 5*i - 2. Suppose 0 = -y - 5*k + 13, 0 = y - 3*k + 7*k - 11. What is the least common multiple of v(y) and 114?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 5*k - 4. Let a be w(0). Let p(y) = -2*y + 4. Let m(t) = 3*t - 3. Give a*m(v) - 3*p(v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1728700.\nAnswer: 2, 5, 59, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 33\/9 - 2\/(-6). Suppose -6*z + 12 = -z - d*c, 4*z - 5*c = 6. Let h = z + -3. Sort h, -2, -0.3.\nAnswer: -2, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from {p: 2, f: 1, r: 2, l: 1, j: 1, v: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8929866 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453*b = -462*b + 18. Suppose 2*r - 1161 = -5*c, -b*c = -4*r - c + 2355. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((180\/96)\/((-8)\/16 - -2))\/(-1)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnonondononnoodo. Give prob of sequence do.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13313233 (base 4) to base 11.\nAnswer: 22249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -30. Suppose -4*f - 4*a + 19 = 7, -d = -f - 4*a. Solve 0 = f*i - 3 - 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 632 = -4*d + 626, -5*d = -r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 5, 19 = 8*t - 2*z - 3*z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*k + 5*p - 23 = 0, 2*p = -5*k + 20. Let v(x) = -80*x. Let z(m) = 3*m. Let a(l) = k*v(l) + 55*z(l). Let n(s) = -5*s**2. Give a(n(q)).\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 67 - 3*l - 67 as j + z*l and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 357 and 213738?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from lzbzztlzyssbbyy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/9 + 50*r**3\/9 - 86*r**2\/3 - 674*r\/9 - 364\/9 = 0 for r.\nAnswer: -1, 13, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/3))**(-27)*(t**(17\/3)\/t)\/(t*t**(-1\/3)*t*t) assuming t is positive.\nAnswer: t**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 3, v: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 4*x - 93 = 0. Let a = -30 - x. Solve s - 4*v - 6 = a, -2*v - 9 = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(5)*-5 + (sqrt(5) - (sqrt(5) + -1)**2)*-2.\nAnswer: -sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**3 - 2. Let z(y) = y**3. Suppose -c + q = -5, 3*q + 8 = -c + 5. Determine c*z(w) - h(w).\nAnswer: -2*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n**3 - 2*n**2 + n. Let v(h) = h**3 + 3*h**2 - 2*h - 5. Suppose -6*d + 7 = 19. Let y be v(d). Suppose -2*q = q - y. What is r(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**5\/6 + m**4\/24 + 2*m**3\/3 + 23*m**2. What are the prime factors of j(-2)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + p - 1. Let i(g) be the second derivative of 1\/12*g**4 + 1\/2*g**3 + 0 - 1\/2*g**2 - 11*g. Calculate -3*d(k) + i(k).\nAnswer: -2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.25221? (a) 2\/13 (b) -1.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**3 + 7*d**2 - d - 6. Let n be b(6). Suppose 0 = -4*o - 4*o + n. Calculate the highest common factor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 45463032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(19))*-4)**2 - (5 + sqrt(114)\/sqrt(6)).\nAnswer: -sqrt(19) + 299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1723310 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -5*d + 9 - 26, 4*d - b = -1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173492660?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.03 (b) 4\/9 (c) -438.4 (d) 2\/11 (e) 0 (f) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*w + 307, 306 = a - 8*w + 3*w. Suppose -1122 = -3*g + 4*i - a, 4*g = 5*i + 1083. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47686211 to the power of 1\/2, to the nearest integer?\nAnswer: 6906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571567353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -27.8. What is the smallest value in -1\/7, l, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 131*f**2 - 129*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**3\/6 + 2*s**2 - 6*s. Let z be o(2). Suppose z*d + 0*d - 24 = 0. Solve 3*f - 4*u + 9 = 0, 2*f + 3*u = -2*f - d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51453464*t**2 - 28905816*t wrt t.\nAnswer: 102906928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 232*n**7\/3 - 65*n**4\/12 + 9*n**2\/2 - 2587*n. Find the third derivative of g(u) wrt u.\nAnswer: 194880*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*r - 5. Let y(b) = -b**2 + b. Let d(o) = 2*o**2 - 8*o + 3. Let g(s) = r*d(s) - 3*y(s). Let h = -1 + -2. Calculate g(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 3. Let f be n(2). Suppose 3*d - 4*g - 20 = 0, -f = -3*d - 0*d + g. Suppose -u = -d*u - 93. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:56 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 34*i**3 + 7*i**2 - 13*i - 3. Let y(s) = -8*s**3 - 2*s**2 + 3*s + 1. Let t(r) = -2*a(r) - 9*y(r). What is t(2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2879 + 477*r + 2879)*(0*r + 0*r + r).\nAnswer: 477*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5048 (b) 1 (c) 2701\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39558527, -79117053, -118675579?\nAnswer: -158234105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199718144.\nAnswer: 2, 43, 18143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2263 - 2260. Sort 2\/7, 4\/7, w, -1\/2 in ascending order.\nAnswer: -1\/2, 2\/7, 4\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 506 + -191. Suppose 0 = -4*q + 353 + j. Suppose -5*r - 5*w = -615, r + 50 = 2*w + q. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 63\/57 + 1 + -2. Let w = -28 + 33. What is the biggest value in w, y, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllyy. What is prob of sequence lyyl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 3. Suppose -m + 4*m + 4 = -c, -m + 5*c + 20 = 0. Let y be 2\/(-6)*(0 + m). Solve -10 = 5*t - 3*t - a*z, -2*t + 3*z - 11 = y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/8 and (-2)\/2*1956\/(-792).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.902 + 2.74823.\nAnswer: 8.65023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*m**3 - 38*m - 29*m + 67*m + 69*m**2 - 69*m**2.\nAnswer: -49*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1875 - 150 - 145)*(-3*c**4 - 2*c**4 + 3*c**4) to the form q*c**2 + w*c**4 + z + p*c**3 + a*c and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95.04 + 111.162. Let n = 0.022 - o. Let k = 16 + n. Which is greater: k or -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000020888989 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 212309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/34 - (-49)\/(-833). Which is bigger: -27\/197 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d = -21*d + 4*q - 266 + 69, -2*d - 2*q = -10 - 78 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652813?\nAnswer: 7, 179, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 221.38, -1, -0.1, -2 in descending order.\nAnswer: 221.38, 6, -0.1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8996 and 191684.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30045, -30186, -30339, -30510, -30705, -30930?\n\"Answer: -s**3 - 134*s - 29910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vggnxx. What is prob of picking 1 v and 1 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrslqllsrlygllrqlg. Give prob of sequence rqgl.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -5, 3, -5\/79, -1.32, -4?\nAnswer: -1.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.659229415 to two dps.\nAnswer: 2.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 = -5*i - 104 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*a*y**2 + 2*a*y - a + 20858*y**2 + 8*y - 92 wrt y?\nAnswer: -86*a + 41716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5388 - 2368. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5\/5 - 5540*a**4 - 110844*a**3\/5 + 33248*a**2 + 110842*a\/5 - 27708 = 0. Calculate a.\nAnswer: -5, -1, 1, 13854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26\/5 (b) -2 (c) 2\/5 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 4:54 AM?\nAnswer: 261","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 182202*b**5\/11 + 14576164*b**4\/11 + 383717732*b**3\/11 + 3187814616*b**2\/11 - 3586211982*b\/11 - 78732\/11 = 0.\nAnswer: -27, -2\/91101, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 - k**2 + 13*k - 8. Let a be u(-5). Let l = a - -1718. What are the prime factors of l?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 850095 or 850096?\nAnswer: 850096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m**2 - 7*m**2 - 2*m**2)*(17*m**2 + 43*m**2 - 24*m**2) + 2*m**3 + m**4 - 2*m**3 as o*m**2 + f + p*m**3 + k*m**4 + q*m and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -37674 divided by 414\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 457 = -9*b + 1447. What are the prime factors of b?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 2 = -2, -2 = -2*u + 5*d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -391, 5, 1\/2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -208565?\nAnswer: 208564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 309446 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/17)\/((-10)\/(-90)*-9).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7879*a - 24 = -7887*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 9*x + 18.\nAnswer: (x - 6)*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-5 + (-1 - -7) + 2 + -7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 114452 + 3622?\nAnswer: 120274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*w, 165*p = 167*p - w - 910. Calculate the lowest common multiple of 405 and p.\nAnswer: 61155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/30 and 161\/510.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f + 12 - 36. Solve -4*k = 4*a + 28, a - 3*a - f*k = 24 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 2*c - 33 = 14*z, 0 = -27*c + 30*c + 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -25.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 26 - 11 - 131*b)*(4 - 1 - 1).\nAnswer: -262*b - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 753776.6 litres?\nAnswer: 753776600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3623?\nAnswer: 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j - 0*j. Let h(m) = -m**3 - 8*m**2 - 53*m - 563. Let p be h(-9). Sort j, 0, p, 16 in decreasing order.\nAnswer: 16, j, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 30 + 6 = -4*p, 0 = 4*y + 2*p - 6. Suppose 0 = h + 2*h - 285. Suppose y*z - h = 21. What are the prime factors of z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -67 (c) 3739 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 + 45*l**2 + 92*l - 325. Let y(m) = 4*m**3 - 46*m**2 - 94*m + 322. Let w(p) = -6*s(p) - 5*y(p). Determine j so that w(j) = 0.\nAnswer: -17, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/44 + (-77016)\/88. Let q = s - -878. Solve -4 = q*m - 4*j, 2*j = m - 6*m + 28 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + 0)*4)**2 - (1 + sqrt(176) + -5).\nAnswer: -4*sqrt(11) + 21300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 33*z**7\/10 - z**4\/12 + 21*z**3 + 487*z**2. Find the second derivative of k(y) wrt y.\nAnswer: 8316*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 + 0.39. Let g = 678\/13 - 52. Let w = 134.87 - 131.87. What is the smallest value in w, -0.3, b, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 357 + -6781\/19. Let o = 23 + -22.77. Let f = o - -0.07. Which is the smallest value? (a) h (b) -2\/15 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - 0.26. Sort z, 3, 0, -0.5 in ascending order.\nAnswer: -0.5, z, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycye. What is prob of sequence yc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 171515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.28 in 3\/8, 16\/3, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17079945 is divided by 3415987.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -637, -638, -639, -640, -641?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in years?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g - 1 + 1 - 2*g. Let z(l) = l. Give z(h(o)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 1 - 0. Calculate the common denominator of (2\/3 + f)\/(-3) and 82*5\/(-40) - 1\/(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 147787474 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 30*z + 41. What is u(-31)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -773, -743, -671, -539, -329, -23, 397?\nAnswer: 949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*g - 5*c, 5*g = -c - 2 + 40. Solve 3*b + 1 = g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 = -5. Find the third derivative of 5*g**2 - 5 + 5 - 11*g**x wrt g.\nAnswer: -660*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 5.3. Let h = 1.77 + w. Let y = 0.23 + h. Which is the second smallest value? (a) 4 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2095508 to the power of 1\/2, to the nearest integer?\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*j = 115, j = n + 3*j - 109. Calculate the common denominator of 71\/42 and (730\/(-4))\/5*14\/n.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 10*v - 58. Suppose 197*s = 383*s - 195*s + 117. What is k(s)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4150 and 92890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 + 2*m**2 - 4*m**2)*(3 + 2*m - 3 + 2 - 3*m - 2 + (1 - 2 + 0)*(0*m + 0*m - 2*m)).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 405073 - 405073.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5624522148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/7)*z**(-1)*((z\/(z\/(z**(-1\/8)\/z)))\/z)\/(z**(-1)*z))\/((z**3\/z)\/(z*z**(-3\/10))*z**(1\/4)\/z*z\/(z*z\/(z**(-1\/8)*z))) assuming z is positive.\nAnswer: z**(-517\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 24*h = -21*h - 16, 3*v - 29 = 2*h. Let w(k) = 2*k + 9. Give w(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -7, -22, 3.\nAnswer: -22, -7, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/2*(5 + -3). Let n(m) = -5*m + 1 + 4*m + l*m. Let y(j) = -2*j**2 - 4*j - 2. Let d be y(-2). What is n(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/10)\/(-279*(-73)\/(-126728)*8\/(-30))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3704*t - 2*t**2 + 3704*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4 = -3*x. Let k(m) = 3*m**3 - 4*m**2 + 1. Let j(v) = v**3 + v. Let a(c) = x*j(c) + k(c). Give a(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -354, -991, -2278, -4431, -7666, -12199?\nAnswer: -18246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -228*i. Let c(k) = 1939*k. Give -5*c(m) - 42*t(m).\nAnswer: -119*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3725200 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 1. Let s be 65\/2 + 6\/4. Let k(c) = -20 - 19 + s. Calculate k(f) - 2*n(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4*144\/(-126)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405793793.\nAnswer: 405793793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(11) + -4 - sqrt(11) - (sqrt(55)\/sqrt(5)*-3 + sqrt(11) + sqrt(11))) + (6*-4*sqrt(539))**2 + 5)*5.\nAnswer: 5*sqrt(11) + 1552320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/224 + (-31)\/(-16). What is the second smallest value in a, 3\/7, -5\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11767556\/3 or -3922520?\nAnswer: -11767556\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-8) + -2*135\/(-24). Suppose -l + x = -2. Let s = -4 + l. Solve -5*p = -5*j + s, -5*j + 4 = 4*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5 = -2*g - g, 5*d - g - 19 = 0. Solve 0 = d*i + 5*r - 10, 5*i = -3*r + 7 + 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6095*y**4 + 53*y?\nAnswer: -73140*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**4\/2 + 13*o**3\/3 + 8*o**2 + 2. Give q(6).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n - 7. Let r be p(5). Let t = 1707 - 1595. Calculate the greatest common factor of t and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*x + 63807, -236*x + 3*o - 12765 = -237*x. List the prime factors of x.\nAnswer: 2, 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 24609 = -849. Is 33 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 987164542?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 303951 and 852.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1287 or 16736\/13?\nAnswer: 16736\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4005687129?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 3)\/(14\/70).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**3 - 8*i**2 + 24*i + 12. Let z be l(-8). Let r = 555 + z. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.914305ml to litres.\nAnswer: 0.004914305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 142*x**2 + 204*x + 15. Let p be w(-10). What is p rounded to the nearest one hundred?\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.6, -4, 2\/5453, -2\/37, -3 in ascending order.\nAnswer: -4, -3, -1.6, -2\/37, 2\/5453","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -t + 300, -1410*h - 425*t + 427*t + 150 = -1412*h for h.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 4237920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 z when four letters picked without replacement from {z: 10, t: 2, e: 2}?\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*z - 94965 = -66725 for z.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8 = -2*s - 3*z, -s = -2*z - 5. Let y be 81890\/(-18) - (s + 1). Let j = y - -4556. Find the common denominator of -19\/11 and j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 0*m + 4*q - 18, -5*q = 5*m - 70. Is 0 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 138 - -152. Let r = o + -282. Solve -4*g = -4*c - 12, 0 = -g + 2*c - 7 + r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -453*i + 3193. What is the remainder when m(6) is divided by 201?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9*l - 34. Calculate x(18).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -o + 2. Let t(n) be the second derivative of -3*n**5\/20 - n**4\/12 - n**3\/3 - n**2\/2 + 3*n. What is the units digit of t(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451789.\nAnswer: 13, 23, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -82083625 divided by 1\nAnswer: -82083625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -148 - -151. Sort j, 8, -2 in increasing order.\nAnswer: -2, j, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7971 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338728, 338760, 338790, 338818, 338844, 338868?\nAnswer: 338890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - w + 509. Suppose -2*y + 3*y = 0. Is q(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 17*b**2 - 21*b - 29. Let d be h(-18). Let f(j) = -j**2 + 25*j. Let r be f(d). Solve r = -6*x + 11*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 40. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*t - 117*t = 322*t - 5470 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -200*a - 219*a + 492*a - 210*a to the form j*a + p and give j.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*h**4 + 2*h**2*x**2 - 22*h**2 - 10*h*x - 2*h - 24*x**2 - 3 wrt h.\nAnswer: -480*h**2 + 4*x**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.16 - -0.34. Which is the third smallest value? (a) -1 (b) n (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2765 (base 9) in base 6?\nAnswer: -13352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000117096 rounded to six decimal places?\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1588810438 to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125422013 - 0.5.\nAnswer: -125422013.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 110*b**2 + 20 - 16 - 18 as l*b**2 + g + n*b and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143 + 50352?\nAnswer: 50205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 9:01 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 160\/35 - 12\/21. Solve 5*y + 19 = -3*f, -2*y - 16 = f - s*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001000010010011101 (base 2) in base 3?\nAnswer: -2000222221112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2036 divided by 43951?\nAnswer: -2036\/43951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429*d + 76*d + 115*d + 115*d + 115*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 55, 107?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 7:12 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 189 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12685 is divided by 12652.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -317\/97 - -3089\/3201. Find the common denominator of q and (143\/(-312))\/(-1)*-28.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 35. Suppose 2*n = -2*p + 14, 11*p = j*p + n + 23. Suppose -2*z = -3*z + 3. Calculate the greatest common divisor of z and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 8*i**2 - 6*i - 3 as l + u*i + q*i**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 5*z + 4. Suppose -5*p = -26 + 1. Let a(u) = 7*u - 7. Let r be a(3). Suppose -4*j + r = 2*k, -p*k + 14 + 7 = -4*j. Determine m(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.13, -2, 0.5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 - 120*m**2 - m - 22. Determine d(-60).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 13 - 1 = -4*a, -y - 5*a = 3. Solve -y*t = 2*t + 2*z + 24, -2*t = -z + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 257674264 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11232 and 33120?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 11*b - 30. Suppose -n + 83 = 2*j, b*n + 7*j = 2*j + 317. List the prime factors of n.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 3. Suppose 5 = -9*n + 4*n. Suppose 0 = c - 2*y + 1 - 7, -2*c - y = -2. Let b be (2 - 8\/c)*1. Let o(v) = -v + 1. What is b*o(t) + n*h(t)?\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 4 (c) 26 (d) -4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*b + 308 = 214*b. Which is smaller: b or 102\/169?\nAnswer: 102\/169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 10}. Give prob of sequence ppp.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**3*k*w**2 - 66*f**3*w**3 - 3*f**3*w - f**2*k - 7*f*k*w**3 + 10*f*k*w + 17 wrt f?\nAnswer: 12*k*w**2 - 396*w**3 - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -177 or -1235\/7?\nAnswer: -1235\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 642\/680 - (-4)\/(-16). Let v = z + -5\/17. Let x be 84\/(-140)*5\/(-21). What is the third biggest value in v, x, 10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 134 = 2*q - 140, -q - 3*j - 7 = 0. Solve 0 = 27*u - q*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 46?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -9. Let i be (1 + h)*(-28)\/(-8). Suppose 0*t - i = l + t, -5*l = -3*t + 19. Let b(o) = -o**3 - 5*o**2 - 4. What is b(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4761560003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4696977815 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.63744 to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (42 - 11)) + (-2 - -1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50464704 is divided by 727?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 42. Suppose -2*s = -k*a - 6*s + 72, -100 = -3*a - 4*s. Is 28 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24141067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -59, -25, 43, 157, 329, 571, 895?\nAnswer: 1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:58 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.21 + -1.71. Let p = -4.5 - d. Let c = 3.0002 + p. Round c to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32903749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 275, -737, -2423, -4783, -7817, -11525, -15907?\n\"Answer: -337*j**2 - j + 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 6. What is the tens digit of ((-32)\/5)\/(t\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 962970315?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 1111\/(-121) - 2\/(-110)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103.000115 - -103. Round p to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 74, 118, 196, 320, 502?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11144586?\nAnswer: 2, 3, 71, 26161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u + 35*u - 16*u = -13020. What is the greatest common divisor of u and 510?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.06\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/2)\/(15\/20). Suppose -4*m + 497 = 3*n, q*n = -n - 3. Let x be 8*-4300*(0 + m). What is x rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.9 times -22?\nAnswer: 173.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08 - -6.08. Let t = 6.12 - j. What is t rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188708212 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16, -23, -26, -25, -20, -11?\n\"Answer: 2*r**2 - 13*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - p - d + 18 = 5*p, 5*p - 3*d = 2*d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + 5*sqrt(114)\/sqrt(3))\/(-5*(sqrt(2) + sqrt(8))) + 4 + -5*sqrt(19) + 4 + 4*sqrt(19))*-5.\nAnswer: -40 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, 3, 2793 in decreasing order.\nAnswer: 2793, 8, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*21\/7 + 91*1. Let m = 104 - z. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + 2 + -3 + (sqrt(343) + 1)**2*-4)*6.\nAnswer: -8238 - 336*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 19eaea?\nAnswer: -19eae9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/((-2)\/1) + -3. Suppose 3*t + 2*m + m - 106199985 = 0, -i*m = -2*t + 70800020. What is t rounded to the nearest one million?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*z + 21 = 0, 47*c - 3*z = 380 + 100 + 234 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010237 rounded to seven dps?\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 3*m = 7*h + 19, -3*h + m = 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 14. Let f = 50.9857 + -52.985628. Let d = h + f. What is d rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) 3 (c) 1 (d) 3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12018014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 799126829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 144 - 2?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22777083 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 53, -11\/3, 0.09, -1, 0.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a millennium in centuries?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 4*p + 7 - 7 + (-4*p - p + 7*p)*(2*p + 4 - 4))*(-2911 + 277*p + 2911).\nAnswer: 1662*p**3 - 1108*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174433271.\nAnswer: 277, 629723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8895*d**4 - 4259?\nAnswer: 35580*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 19 + 26. Let k be g\/3 - (-3 + 3). Let h(f) = -4*f + 4. Calculate h(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20809392 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 1:00 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 15*u - 18. Let s be j(-16). Does 16 divide -7 + (s - -5) + 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1158623 is divided by 579305.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/2)\/(1 - -1). Suppose -m + 10 = -o. Calculate the remainder when 19 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 382, 670?\nAnswer: 958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203899.\nAnswer: 29, 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/84 and 117\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -400 in 1\/3, -0.7, 9.42?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(448) + 3) + 4*(sqrt(847) + 1)**2.\nAnswer: 136*sqrt(7) + 3410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/5, -13, -2\/9, 3\/283, 0.5 in descending order.\nAnswer: 0.5, 1\/5, 3\/283, -2\/9, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*u + 292 - 705 = -5237 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33426808 is divided by 11883?\nAnswer: 11812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/18)\/(7545\/(-18108))*(1701\/60)\/(-7)\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -0*l + 4*l. Suppose -3*z = -6*z + l. Solve z*h + 2*a = 5*h + 2, 15 = -3*a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + -1 - (-943 - -980)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 127, 172, 217?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -195*t + 605. Let d be x(4). Is -175 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.07 (b) -551 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 149653312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 52*i - 48*i - 4 = -6*a, -118 = 11*a + 2*i for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*x + 275 = 0, 2*f = 3*x + 546 - 381 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 14, 208 in ascending order.\nAnswer: -4, 0, 14, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -338.7 + 298. Let m = -16.6 + g. What is m rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1413857 + -2.\nAnswer: 1413855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 352?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11bc (base 15) in base 2?\nAnswer: 111011000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -7*z**3\/6 - 33*z + 13. Let h(t) = 17*t**2. Let k(g) = 341*g**2. Let x(i) = 121*h(i) - 6*k(i). Give f(x(s)).\nAnswer: -77*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**4 + 4*a**3 - 6*a**2 + 1. Let d(f) = -4*f**4 + 5*f**3 - 7*f**2 + 1. Let q(l) = 4*d(l) - 5*x(l). Find z such that q(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 79904343\nAnswer: -79904340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 72 * -4\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29714 - 29710. What is the smallest value in i, 2\/7, 0.2, 3\/4, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 3*l**2 - l + 2. Let c be 35\/14*(-72)\/20. Let d be -8 - (4 - (-1 - c)). Let a(j) = -4*j**3 + 10*j**2 + 4*j - 7. Determine d*a(b) - 14*x(b).\nAnswer: 2*b**3 + 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3122.1864 - -8.15493.\nAnswer: 3130.34133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2422241300 - 14?\nAnswer: 2422241231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 231262 to the power of 1\/2, to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44886 and 414?\nAnswer: 3097134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11202 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4371*s - 28934 = -3672*s + 7414*s for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxx when three letters picked without replacement from {x: 9, h: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 81?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a kilometer in meters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 + (-872)\/16)*4\/(-2). Suppose a = -3*w + 172, 3*a - m - 417 = 3*w. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 91*s**2 + 2*s - 1. Suppose -n = 3*n - 8. Is w(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10070 and 27064450?\nAnswer: 514224550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 38 = 2*m, -5*w + 50 = -5*m + 3*m. Which is bigger: m or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 1. Let w(q) = -q**2 + 2*q - 5. Let r(s) = 2*c(s) - w(s). Let j(h) be the first derivative of r(h). Let y(x) = 1 - 1 - x + 0*x. Calculate j(y(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 165.78628 from -82.\nAnswer: -247.78628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139576 + 207425 = 69*s. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2864830.66 rounded to the nearest ten thousand?\nAnswer: -2860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-29)*q*q\/(q**(1\/39)\/q))**38 assuming q is positive.\nAnswer: q**(-38570\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 601, 1911, 4461, 8665, 14937, 23691, 35341?\nAnswer: 50301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 13561, 0.01, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 less than or equal to 639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12 and 429659793.8.\nAnswer: 429659781.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 146947906 or -1?\nAnswer: 146947906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 h, and 1 a when four letters picked without replacement from {z: 2, a: 2, y: 2, h: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3 + 1062*o**2 + 97259*o + 190278 = 0. Calculate o.\nAnswer: -961, -99, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 + -2. Let a = -4.47 + 0.47. What is the closest to a in 4, 2\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 8*r**2 + 7*r + 9. Let z be g(-7). What is the greatest common factor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1058*u - 1939*u - 1840*u + 424*u + (u + 0*u + 0*u)*(-4 + 2 + 0).\nAnswer: -4415*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnnkkrnknzni. What is prob of picking 1 n and 1 z?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 26\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -2.24.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370603364 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81883*a = 81895*a - 3*k - 3, a = 3*k - 19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8)\/y)**(32\/7)*((y*y**(2\/69))\/y)\/((y**(2\/69)\/y)\/y) assuming y is positive.\nAnswer: y**(-274\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(4\/(-10)) + -17 + 20. Let i = -266 - -271. Which is the nearest to j? (a) i (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 6 - ((-21 - 5) + 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**3 - 4*f**2 + 4*f + 460. Let o be 4\/6*-3 + 9. Does 30 divide i(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 5090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 15. Let u be z(12). Let p(a) = -a - 1. Let i be p(-6). Suppose u*k - 638 = -i*m, -3*k + 384 = 3*m - 0*k. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 30768.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 415*l**4 + 442*l**3 + 1979898*l wrt l.\nAnswer: 4980*l**2 + 2652*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1373 is divided by 233?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -54, -104, -206, -378, -638, -1004, -1494, -2126?\n\"Answer: -3*r**3 - 8*r**2 - 5*r - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*n - 446*n - 1420 = 2444 for n.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2161 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 2*x - 1. Let w be d(2). Suppose 0 = -0*h + h - w*m - 6, m - 11 = -4*h. Suppose 7 = -h*a - 8. Is -3 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -209 (b) 1\/6 (c) 157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833776 is divided by 833681?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 0.5 (c) -106.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4))**38)**(3\/17)*(w*w\/(w\/(w**(-3)\/w)*w)*w**(-4)\/w)**(-32) assuming w is positive.\nAnswer: w**(9735\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -1209 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 6 - 88. Suppose c = -7*u + 9*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10146933?\nAnswer: 3, 23, 49019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -4, -1\/2, -981, 2\/11, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -104*a**2 - 17*a - 372. Let g(c) = 26*c**2 + 4*c + 93. Determine 17*g(w) + 4*z(w).\nAnswer: 26*w**2 + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -111210100 (base 3) in base 10?\nAnswer: -10053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 32 = -2*p, -266 = 5*p + x - 333 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 2\/13 (c) 0.44 (d) 5 (e) -0.1 (f) 4 (g) -2\/67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3686296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09 + -3.91. Let o = 1.8 - 6.1. Let f = o - u. Sort -4, f, 3.\nAnswer: -4, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -108, -219, -330, -441, -552?\n\"Answer: -111*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3504 + -3387. Calculate the least common multiple of 108 and t.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 1. Suppose 0 = z + 22 - 0. Let t(f) = -12*f**2 - 18*f + 10. Let p(d) = z*y(d) + 2*t(d). Suppose p(i) = 0. What is i?\nAnswer: -1\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/39 - ((-3402)\/(-1287) - 0).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1047082*c**2 - 2246399 with respect to c.\nAnswer: 2094164*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**2*z)\/z*z)**23)**(-31)\/((z*(z\/z**(-2\/7))\/z)**(-45)\/(z*(z\/(z\/(z\/(z*z*(z*z**(1\/6)\/z)\/z*z*z)))*z*z*z)\/z*z*z**7)) assuming z is positive.\nAnswer: z**(-116983\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1853818 + 3?\nAnswer: -1853815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.87 and -392435292246?\nAnswer: 392435292245.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b + 6*b**3 - 2*b**3 + 2*b**3 - b**3 wrt b?\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 635225 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-85)\/(-40) - ((-147)\/(-7448) + (-4)\/(-38)). Solve 3*w = k - v, -14 - 2 = -4*w + 6*k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108 > -7485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 809, 1687, 2563, 3437?\n\"Answer: -u**2 + 881*u - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475)*-2*-3)**2 + sqrt(475) + sqrt(190)\/((sqrt(40) + sqrt(10) - sqrt(10))*-3))*3.\nAnswer: 29*sqrt(19)\/2 + 51300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 13*u - 21. Let b(q) = q**2 + 15*q + 40. Let p be b(-12). Let o be r(p). Suppose -c + o = 3*n - 76, 4*n - 139 = -5*c. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -171\/88 + 17\/8. What is the second smallest value in 0.2, 0.5, 173, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 2:05 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.293103 millilitres in litres?\nAnswer: 0.002293103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - q - 2. Let p be o(4). Calculate the highest common divisor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -10*m + 6*m + 4*v, 2*v = 4*m - 82. Let u(b) = -2*b + 22. Let o be u(13). What is the remainder when o\/(-6) + -1 + (-1497)\/(-9) is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1.4. Let j(v) = 2*v**2 + v - 1. Let a be j(-2). Let x be (a + 3)\/(-2)*(-6)\/(-108). Sort x, p, 0.\nAnswer: x, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -3. Suppose -a + 0 = -2*s. What is the derivative of -7 + 31*i**2 - 10*i**3 - 31*i**s wrt i?\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 0.5, 125, -0.05 in increasing order.\nAnswer: -1, -0.05, 0.5, 3, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 302601552 a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26148943\/336 + 311295\/4. Calculate the common denominator of -19\/16 and h.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, 0.036, 16.3579?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, -80, -254, -580, -1106, -1880?\n\"Answer: -8*x**3 - 4*x**2 - 2*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-189))\/(3\/(-42))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (98\/(-7))\/(9*(-8)\/(-360)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 115 + -83. Let v = w + 11. Let c = 107 - v. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303478535 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 11. Let z(p) be the first derivative of -p**3\/3 + 4*p**2 - 4*p + 14. Let h be z(a). Solve 5*i + h = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6 = -0. What is the third derivative of 5*j**2 - y*j**2 + 2*j**3 + j**3 wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -1\/2, 0.56?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -584 - -583.8. Let q = 15.3 - 16. Which is the fourth biggest value? (a) -4 (b) q (c) 3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 18 = 6. Suppose -i*n + 21 - 6 = 0. Solve -2*u = 3*a - 7, -7 - 22 = -n*a + u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 22 - 2. Let k be (-40)\/g + (-2)\/6. Sort k, -4, 0 in descending order.\nAnswer: 0, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 434972 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 47781 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 34\/(-8))*(558 - 552)?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*p**5 - 20*p**5 + 0*p**5 + (0*p**2 - 3*p**2 + 2*p**2)*(4*p**2 + 2*p**3 - 4*p**2) - p**5 + 0*p**5 + 2*p**5 + p**5 + 4*p**5 - 6*p**5.\nAnswer: -29*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 1 + 5. Let n(f) = 1601*f**2 - 2*f - 3. Let r be n(y). Round r to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9608 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from ouqquuquuqo.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1467 - -0.1497. Put x, 0.4, 1 in increasing order.\nAnswer: x, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s. Let y(v) be the second derivative of v**4\/6 - 2*v**3 - 9*v. Give y(u(r)).\nAnswer: 8*r**2 + 24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((4\/30)\/((-112)\/140))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 26*b**3 - 22*b**2 + 22. Let w(t) = -20*t**2 + 16*t - 28. Let o be w(-5). Let n = 610 + o. Let k(p) = p**3 - p**2 + 1. Give n*g(d) - 44*k(d).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23633228 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -2*v**6\/3 + 8*v**5\/5 + v**4 - 8*v**3\/3 + 7. Solve j(u) = 0 for u.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1f (base 16) in base 8?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.4 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*b = 4*x + 62*b - 107, -5*x = b - 142. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(243)*-2 - sqrt(243)) + -3*(sqrt(243) + -1))**2 + 5.\nAnswer: 810*sqrt(3) + 54689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-2)\/10 - (-1)\/(-5). Solve i*t + 0 - 4\/7*t**3 - 2\/7*t**2 = 0 for t.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 94875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-161)\/46*4\/7. What is the nearest to -18 in f, 2\/13, 4\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/1049, -2385, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/24)\/(3\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1\/(-1) + -13)*(17588\/(-7) - 26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -78. Let x = -29 + m. Let v = -4.8 - -5.1. Which is the third biggest value? (a) 0.06 (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -10*t - 1. Determine p(-27).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2452, 2378, 2256, 2086, 1868, 1602, 1288?\n\"Answer: -24*m**2 - 2*m + 2478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9305*f - 3077 + 9059*f - f**2 + 2*f**3 - f**2 - f**3 wrt f.\nAnswer: 3*f**2 - 4*f - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 14 + 6 = 0. Suppose 16 = 4*l, -k*l - 12 = -4*t + 32. What is the third derivative of -4*o**6 - o + 16*o**6 - t*o**2 + o wrt o?\nAnswer: 1440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 1\/5, -18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u + 1204 - 81 + 0*u - u to the form k*u + l and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, z: 2, j: 14}. What is prob of picking 2 j?\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - (-61 + 40 - -29)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 - 599*p**2 + 927*p + 7298. Determine f(-301).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v - 13*v - 23*v + (-3 + 2 - 1)*(v - 2*v + 2*v) - v + 0*v + 2*v + 5 - 5 + 2*v.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w - w - w + (6 - 2 - 5)*(-9*w + 8*w + 0*w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 79)\/((-3)\/3). Let k = 133 + p. Calculate the remainder when k is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (244 + 136 - 48)*(-5*k + 2*k + 2*k)*(4*k + 1 - 1).\nAnswer: -1328*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -66+-859.354566\nAnswer: -925.354566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2448) - (sqrt(2448) + 1 + -1))**2 + 2*((4 + sqrt(2448) + 0 + sqrt(2448))**2 + sqrt(2448)).\nAnswer: 408*sqrt(17) + 19613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20472744 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 10*g**2 + 9*g + 8. Let j(i) = 2*i**2 - 2*i - 1. Calculate the remainder when j(-3) is divided by r(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 61480 - 17193. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-126)\/11)\/3 - -4. Let o be (2\/(-6))\/(28\/(-21)). Which is the third biggest value? (a) 1\/6 (b) o (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*f + 3, -6 = -4*p - 4*f - f. Let l(j) = -2*j + 9. Let d be l(p). Solve -5 - d = 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01223326 rounded to 5 decimal places?\nAnswer: 0.01223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/14*44\/(-2). Suppose 5*q + 5*f + 10 = 0, h + 2 = q - 4*f. Let o = 3068 + -3063. Sort q, o, 0 in increasing order.\nAnswer: 0, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from ffmggmomqoofgj.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*n**2 - 6224*n + 3650*n + 529*n**2 wrt n?\nAnswer: 1190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*o - 2, -2*o = -w - 3*o - 1. Let m be -1*(w - (6 - 2)). Find the third derivative of 4*i**2 - m*i**2 + 2*i**4 + 3*i**2 + 0*i**2 wrt i.\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17430\/(-5810) - (27\/1)\/(-6 - -2).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(20)*-5)\/(sqrt(20)\/(sqrt(288) - (sqrt(288) - (sqrt(288)*-1 + sqrt(288)) - sqrt(288)))) + 3.\nAnswer: 3 + 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/11)*p*(p*p**(-4\/5)\/p*p*p)\/p*p*p*p)\/(p**6*p**2) assuming p is positive.\nAnswer: p**(-144\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*n + 103 = 12, 3 = 3*n. Let w be ((-81)\/36)\/(((-30)\/s)\/5). Suppose -35*k - w = -39*k. Calculate the lowest common multiple of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a + 93. Let c be (-4)\/(-7)*19\/((-152)\/(-112)). Let l be h(c). Put l, -2\/7, -4\/7 in descending order.\nAnswer: l, -2\/7, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -495*j**4 + 195*j + 397267 with respect to j.\nAnswer: -1980*j**3 + 195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, g: 3, f: 2, o: 4, y: 8}. What is prob of sequence yyg?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1013620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174050151 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n**2 + 489*n - 2299. What is z(5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 143 - 4?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z = 5*z + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 74*r**2 - 4*r + 3. Let g(k) = -149*k**2 + 7*k - 7. Let o(u) = -3*g(u) - 7*j(u). What is the second derivative of o(v) wrt v?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/17, 5\/4, -3\/554, -1\/6, -2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/(-200)*(-1)\/((-15)\/50)*(-161)\/(-690).\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 7*x**2 - 3*x - 17. Determine l(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 17 = 3*h, 0*h + 11 = -h + 3*q. Let j be h*1*186\/10. What are the prime factors of (1 - 2)*(-6 + j)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -1286*k + 1272*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - -10.2. Let q = -3.1 + k. What is q rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (96\/(-20))\/((-9)\/30). Suppose 12*g = q*g - 512. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-3213)*7)\/(36\/27)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + x**2 + 6*x - 1. Let r be m(3). Let u(i) = i**3 + i**2 - 1. Let g(k) = 2*k**3 + 3*k**2 - 7. Calculate r*g(t) + 4*u(t).\nAnswer: 2*t**3 + t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 6*z**5 - 88*z**4 + 866*z**3\/3 - 92*z**2\/3 - 536*z - 240 = 0?\nAnswer: -2\/3, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-5 - 0) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4329 times 1306?\nAnswer: 7095.3674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2324*l**2 + 7233*l - 780. Determine b(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x + 15 - 2*x**5 + 104*x**3 - 104*x**3 + 7*x**4 wrt x.\nAnswer: -40*x**3 + 84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u - 768 = 51*u + 32*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, i: 1, v: 2}. Give prob of picking 1 v and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(11*(-8)\/(-396)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 - g + 20. Is w(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 1126585*k - 1126584*k + 3 = 0, -3*m - 8 = -14*k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(62\/(114948\/(-7931))).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57 and -0.8.\nAnswer: 45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -15296.87711 to the nearest ten.\nAnswer: -15300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a week in hours?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 6*c - 16. Find the second derivative of -2*i**c - 4*i**4 - 11*i + 4*i**4 - i**4 wrt i.\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(484))\/sqrt(11))\/sqrt(4) - ((sqrt(275) + -2)*2)**2.\nAnswer: -1116 + 78*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4253561821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2323333000 (base 4) to base 15\nAnswer: 103224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (3 + -4) - 20) + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 58*v + 2*v**2 - 23*v + 2*v**3 to the form k*v**2 + z*v + h*v**3 + p and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 282*i - 2666 - 9178. Solve 5*u - i = -47 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -576*b + 110597. What is t(192)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**4 + 303*l**3 - 9522*l**2 + 85428*l + 95256 = 0.\nAnswer: -1, 18, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 4 + 2. Let m(x) be the first derivative of 2*x**3 - x - 1. Does 2 divide m(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/12 - (-1)\/(-3). Let d = -8153\/19 + 429. Which is the nearest to 1? (a) d (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67 - -31) + -13 - 12?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*f**(4\/3)\/f)\/(f**(-2\/7))**(5\/3) assuming f is positive.\nAnswer: f**(17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -7.21. Let a = -0.61 - q. What is the nearest to 0 in 5, -1\/3, a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 + 3*u + 112. Let s(f) = 19*f**2 + 13*f + 450. Let q(a) = -18*o(a) + 4*s(a). Find the first derivative of q(y) wrt y.\nAnswer: 8*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 4 (b) -4 (c) 1\/3 (d) -82 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1278\/10 - (-7)\/35. Suppose p = c + 4*c - 585, c - h = -2*p. List the prime factors of c.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, -0.012, 0.3, 5?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 0. Let f be x\/10*(-5)\/(-14). What is the closest to -3 in -0.1, f, 3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdd when three letters picked without replacement from dedddeedlldeeteded?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*h - 19*h**2 + 102*h**3 + 74*h**3 + 16*h**2 - 53*h**3 wrt h?\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*y - 7, 0 = 7*q - 2*q - 25. Suppose -2 = -9*z + y. Solve 0 = g + 1 - z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2. Let j(z) be the second derivative of -z**6\/360 + z**4\/6 - 3*z. Let o(h) be the third derivative of j(h). Calculate o(x(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**2 + 945*f + 10005?\nAnswer: -4*f + 945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m - 2*m**2 + 25*m**4 + 19*m**4 + 2 - 42*m**4 + 0 in the form y*m + o + p*m**2 + j*m**3 + b*m**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1683 divided by -51.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-22) + (-436)\/22. What is the smallest common multiple of ((-21)\/(-15))\/((-4)\/h) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 24 - 24 - 466*d + 71 to c*d + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 0 + 0 + 4*o - 3. Let v be c(2). What are the prime factors of 10\/v - (-9 + -1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3499740 and 990.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*p + 22*p + 12. Suppose p*b + 24 = 117. Solve 2*q = 3*g - 1, -5*q - 5*g + b = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.07 - 14. Let c = -0.13 - f. Let a be 1 - (3 + 1 - 2). What is the second biggest value in c, a, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 4:56 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126779 and 32675?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-396)\/9)\/(618\/515)*12\/(-11).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250226808 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 5)*(-3 + 0 + 4)*(8978 - 8978 - 82*r).\nAnswer: -246*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h + 4*h - 4*h + 13*h.\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 21. Let i be v(-23). Suppose -3 = -3*q - 3*a, 1 = q - a - i. Is -28 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6254\/17 + 368. Which is smaller: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, 81, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 2*g. Give y(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(48\/80)*-5. Let b = -4 - 4. Let r = b + 13. Solve -r*t - y = -0*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(304) + -2 - (5 + sqrt(171)\/sqrt(144)).\nAnswer: -7 + 15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - l. Suppose 4*b - 7 = 29. Solve l = 4*z + b + 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a**2 + a + 2. Let j be f(-2). Suppose -5*k = 2*i - 30, -i + j - 7 = 2*k. What is the remainder when k is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8224\/7 - -1176. Factor 8\/7*g**2 + 4\/7 + 12\/7*g - 4\/7*g**5 - 12\/7*g**4 - l*g**3.\nAnswer: -4*(g - 1)*(g + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 2. Let f = 119 - d. What are the prime factors of f?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1406563507 - -1?\nAnswer: -1406563506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109613 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*k**3 + 3*k**2 + 7448*k - 7448*k - 23*k**3.\nAnswer: -44*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnw when three letters picked without replacement from {n: 3, t: 4, o: 1, w: 6}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 5:23 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = -3*s - 35*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 + l**3 - 5*l**4 + 4*l - l**4 to the form o*l + b + z*l**2 + s*l**4 + v*l**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 520977026 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 + 129 - 1460 = 25*l. Are l and -633\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279, -297, -313, -327, -339, -349, -357?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(78) + sqrt(78) - 5*(sqrt(78) - (1*sqrt(78) + sqrt(78))))\/(sqrt(60)\/(sqrt(120)\/sqrt(3))).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -11*w**4\/4 + w**2 + 2*w - 17654. Let r(x) = 34*x**3 - 7*x - 7. Suppose -18 = 5*g + 17. Determine g*v(h) - 2*r(h).\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26*33\/(-33462))\/(((-2)\/10)\/((-6)\/(-5)))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 6 (c) 0.3 (d) -1 (e) 2\/5 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*f - 84 = 0, 0 = -2*u - u + 2*f + 44. Suppose 2*h = -x - 3*h + u, -h = 5*x - 8. Do x and 1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 3147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-6)\/4*(-40)\/300?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 573, 1080, 1571, 2040, 2481, 2888, 3255, 3576?\n\"Answer: -z**3 - 2*z**2 + 520*z + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -35. Suppose -v + 1 = -1. Solve 3 = -5*r + f*n, -v + 1 = -3*r + n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b. Let u(i) = i. Let r(c) = -2*a(c) - 2*u(c). Determine r(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 5)*(-34 - 36 + 141 - 32 + 1575*p - 39) to the form f*p + a and give f.\nAnswer: -1575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 402 divided by -510\nAnswer: -67\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3245305 (base 6) to base 14.\nAnswer: 43001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.086*-70\nAnswer: 6.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5527193 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 y when three letters picked without replacement from {u: 3, y: 3, d: 4, a: 1, m: 3, x: 2}?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -28, 1, -3, 0.2, 0.1482, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*n**2 - 28*n**2 + 24*n**2.\nAnswer: 37*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*w**2 - 4270*w + 4270*w.\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3\/9 - 1670*y**2\/9 + 1152274*y\/9 + 1157266\/3 = 0. Calculate y.\nAnswer: -1283, -3, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*z)*(-6*z**3 + 20*z**3 + 61*z**3) - z**4 + 0*z**4 + 4*z**4 in the form u*z**3 + t*z**4 + a*z + s*z**2 + g and give t.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f - 8. Suppose -5*x = -3*p, -p - 3 = 4*x + 14. Let a(c) = -2 + 2*c - 2 + 1. Let y(r) = x*m(r) + 8*a(r). Let w(n) = 2*n. Calculate w(y(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (230\/368)\/(17\/(-3128)).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.254 and -4.109.\nAnswer: -3.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/(-2))\/(2\/(-1)))\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 13 = -8. Solve -6 = j*a + 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5363150?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 12:24 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*b = 997*b - 2470 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/68*(-100)\/(-125).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 10 = -z + 2*b + 12, 6*b = 2*z + 10*b + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 + 9*w**2 - 32*w + 16. What is the remainder when s(4) is divided by 68?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1903285296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and 1012?\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 252769029 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(2\/(-20)) + 13272\/(-2632)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -741 = 81*k + 179*k - 1521 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imh when three letters picked without replacement from hmi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/9 and -39\/200.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 23*j + 12 + 17 + 26.\nAnswer: -23*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-262 - -627 - 424) + (-1 + 1 - -13)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 12:38 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19737\/(-180557)*(-130)\/15?\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1461 and -5.012?\nAnswer: 0.7322532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1296, 4185, 9000, 15741, 24408, 35001?\nAnswer: 47520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**4\/6 - 52*f**3 - 6084*f**2 + 3*f - 101. Determine p so that d(p) = 0.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 7. Do w and 10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 15*t - 22. Let c be b(15). Let f(g) = g**3 + 24*g**2 + 35*g + 59. What are the prime factors of f(c)?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*n - a + 244, -366 = -3*n + 4*a. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n = 4, -5*n = 2*p + 10. Let d(s) = 4 - p + s**2 + 0 + 3. Determine d(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 34*u - 333. Let m be r(10). Solve -m*y = 4*y - 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.3 and -2.235.\nAnswer: -4.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/2 + 2199*o**2 - 115869*o\/2 + 378222.\nAnswer: 3*(o - 13)**2*(o + 1492)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -21 + k**3 + 7*k**2 + 5*k + 9 + k**2. Let p = -11942 - -11935. Determine w(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1848 by -6.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-8)\/(-9))*((-1001)\/117 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 - 10*y + 430. Determine u(11).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 10767*p + 43076. What is j(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -55. 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: Calculate the greatest common factor of 50958 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.15615 * 0.1\nAnswer: 0.015615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z - 1. Let y be r(1). Suppose -n - 4*m + 2 = -7, -5*n = -y*m - 22. Let u(d) = d - 5. Let v(g) = g - 6. Let q(l) = n*u(l) - 4*v(l). Give q(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**4 + 3*s**4 + 0*s**4)*(2 - 3 + 3) + 1657*s**3 + 23*s**4 - 1657*s**3.\nAnswer: 19*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 53 = 196. Let p be (d\/4*6 - 1)*2. Solve -i - 28 = -4*y + i, 5*y - p = 3*i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 14*w**2 - 15*w - 6. Let b be d(-13). What is the greatest common factor of 200 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -177153 and 10.8.\nAnswer: -1913252.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2342 divide 1262886028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -853*a**3*j**3 + a**3*j**2 - a**3*j + 3854116*a*j - 641*j**3 wrt j?\nAnswer: -5118*a**3*j + 2*a**3 - 3846*j","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**3\/3 + 4*q**2 - 3*q + 1. Let y be s(5). Suppose -z - y = -5*z. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c = 45*c - 3*w - 63, 0 = -4*c + 2*w + 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-34)\/(-136) + (-2132)\/6320 and 34\/5.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 3*k - 1\/2*k**2 - 1\/4*k**4 + 3 + 0*k**3. Give d(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 155*k**3 + 3*k**2 - 5*k - 20?\nAnswer: 930*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-5)\/(-5)) + (-4)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 15 = 4*h. Let s(d) = d - 3. Let m be s(5). Suppose -4*f - 16 = 0, 7 = -5*l + m*f - 5*f. Sort l, -5, h.\nAnswer: -5, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*g + 0*g + 670 = 0, 5*u - 4*g = -839. Let s = 175 + u. Let a(o) = o - 2. Let m be a(4). Solve m*q = -2*q - s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 6*x + 5\/2*x**2 + 2. Let q(n) = -2*n - 2. Determine 8*q(j) + 3*w(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34651356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -122, 0.67, 16, 1\/4?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20346, -81302, -182850, -324990?\n\"Answer: -20296*h**2 - 68*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7)\/(u*u**(-1\/7)*u))\/(u*u**0)**(-16) assuming u is positive.\nAnswer: u**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -1. Find the second derivative of -q**5 + q - q**m - 4*q wrt q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*d - 62533 - 12126, -d = 4*a - 149351. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -15 (b) 0.1 (c) -0.1 (d) 2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*f**3 - 68*f**3 - 18*f**3 - 6*f**2 in the form w*f**2 + b*f + y + h*f**3 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000060777862 rounded to 6 decimal places?\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*i + 16, 19*i = -2*r + 15*i + 18. Solve -r*f + 2*b - 3*b = 1, 5*b + 5 = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -93 + 10*v + 93 + 10*v. Let n(u) = -u**2. What is q(n(k))?\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9050 is divided by (((-124)\/18)\/((-7)\/42))\/((-6)\/(-9))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**6\/360 - s**4\/8 + s**3 + 4*s**2. Let d(x) be the second derivative of j(x). Let w(v) = -v - 6*v - 6*v. Calculate w(d(c)).\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 5716*f**2 + 3500600*f - 861732048.\nAnswer: 2*(f - 186)*(f + 1522)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, -10.\nAnswer: -13, -10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 15 - (23 + -21 + -6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 120\/9*(180\/168)\/(60\/294)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -2 + 0 - 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((140\/(-147))\/10)\/((-8)\/12).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 20 = -2*r, -216*r + 3*n + 39 = -217*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143.029608 + -173.029. Let f = k - -30. Round f to 5 decimal places.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 5:07 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.5, -9, 13835, -54, 4 in increasing order.\nAnswer: -54, -9, -1, 0.5, 4, 13835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -55389, -55407, -55417, -55419, -55413, -55399, -55377?\n\"Answer: 4*a**2 - 30*a - 55363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4 = 2. Calculate the remainder when (160\/(-30))\/(k\/(-12)) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, v: 1, j: 3}. What is prob of picking 1 v and 3 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23095 and 1240?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7667 + 7667.2. Which is the fourth smallest value? (a) 25 (b) 3 (c) y (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 75460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -9*b + 1. Let a be r(-1). Suppose 2*v - 22 + a = 0. Let w(s) = s**2 - 2*s. Let p be w(v). Calculate the highest common divisor of p and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -k - 54 + 28, -34 = 3*v - 4*k. Let x(u) = -u**2 - 3*u + 3. Determine x(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 4*j + 26 - 17, -5*j = 5*l + 30 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 29 = 16*v - 17*w, 4*w = 5*v - 2*v - 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 7*b**2 - 6*b + 3. Let q be m(6). Let y be (-10)\/(-3*8\/(-36)*-3). Suppose y*z - 37 = q. What is the remainder when 29 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83*b*j**3 + 77*b*j**2 + 427*b*j - 86*b wrt j.\nAnswer: -498*b*j + 154*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -44000014 (base 5) to base 13\nAnswer: -1018cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 103*f + 56. Let p = -349 + 352. What is the tens digit of u(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -216 + 71. Let t = f + -21. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(76) + (-1*sqrt(76)*-3 - sqrt(76))) + (sqrt(76) - -6*(sqrt(76) + (sqrt(76) - (sqrt(76) + -2))) - sqrt(76))*-4)*-2)**2.\nAnswer: 25344*sqrt(19) + 340272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 63 from -1845783.56.\nAnswer: -1845846.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 221*w**2 - 2993*w + 28511. Let y(v) = 138*v**2 - 1996*v + 19007. Let d(f) = 5*g(f) - 8*y(f). Differentiate d(s) wrt s.\nAnswer: 2*s + 1003","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78988 is divided by 79?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 33.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 941*z + 942*z - 24 = 0, -3*k + 3*z = 18 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -20. Let i be (-3*(3 + (-8)\/3))\/1. Sort -0.07, 0.3, i, j in ascending order.\nAnswer: j, i, -0.07, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 2:14 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - r + 0*r = 13, -5*t + 5*r = -5. Solve -n + 6*n - 6 = -3*a, 0 = -4*a - 2*n - t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 15*u. Let n(v) = 2677*v**2. Calculate n(t(j)).\nAnswer: 602325*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-12)*-2*3*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3776487 divided by 343317\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1343758?\nAnswer: 2, 13, 51683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11434*l - 11195*l + 10755 = 0 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41\/69807 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4910.79757 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269205.\nAnswer: 3, 5, 131, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/37)\/((-849)\/849)?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143 + 206. Let l = p + -61. Solve l = 9*x - 10*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/6 - (-15)\/(-30) - -1. Solve l - 4 = 0, 5*i - 6*i = -g*l + 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, l: 4, u: 1, x: 1, o: 2}. Give prob of sequence llux.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + d. Let r be j(0). Let l(m) = m + 7. Let z be l(r). Let c = z + 8. Solve -3*b - 2*b = 3*t - 25, -3*b + c = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z**3 - 3*z**3 - 7*z**3 + 0*z**3 - 5*z**3 + 3*z**3.\nAnswer: -30*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(114)*-6*-2*1)\/(-6*(sqrt(6) - (sqrt(6) - (sqrt(6) + sqrt(12)\/sqrt(2)))*-4 - (-1*sqrt(18))\/sqrt(3))).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3*q = -12, 4*t = -q + 18 - 30 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/160?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331030304 (base 5) to base 9.\nAnswer: 2610112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + sqrt(85)*1*-6 - sqrt(85)) + sqrt(85)*-1*1)\/((sqrt(320) - 2*sqrt(320))*6 - sqrt(320)).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0 = -r - 1, -r = 4*g - 8. Suppose 5*j - 2*j - g*k = -6, 3*k - 14 = -j. Let i be 6\/j*4\/6. Solve 0 = i*m - 7 + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-120)\/25*(-75)\/6. Suppose h*k + 28760 = 68*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 10. Let t be x(11). What is the common denominator of -1 - ((-166)\/t)\/((-10)\/(-30)) and 91\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3367*r**2 - 3367*r**2 - 304*r**3 - 338*r**3.\nAnswer: -642*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -11*r**2 - 8579*r + 194890. Give h(-802).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 55*z + 8302. Let i be p(-151). Let w = 1 - 3. Sort 3, i, w in ascending order.\nAnswer: i, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = w + 4. Suppose -58 = -3*i - 4*n + w*n, 5*i - 84 = 3*n. What is the smallest common multiple of 12 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1490 + 204*p**2 + 669 + 64*p + 757 - 54*p**3.\nAnswer: -2*(p - 4)*(3*p + 2)*(9*p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 40*q - 3720. Let p be d(93). Let t(i) be the second derivative of 4\/9*i**3 - i - 2\/45*i**6 + p*i**2 - 1 + 4\/15*i**5 - 5\/9*i**4. Factor t(h).\nAnswer: -4*h*(h - 2)*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**2\/2 - 1. Let b(s) = 1. Let q(x) = 3*x + 4. Suppose -12*i = 11 + 13. Let r be q(i). What is r*b(g) - z(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1051061.4 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2623 = -10*n - 704 + 881. Calculate the least common multiple of 210 and n.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -46. Let y = 53 - 54. Which is the closest to 1? (a) y (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qyyllyyiq. What is prob of sequence lily?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 0*g**2 + 1\/10*g**5 - 1\/63*g**7 + 2\/15*g**6 + 4 - 8\/9*g**4 - 4\/3*g**3 - 2*g. What is o in h(o) = 0?\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 145*m. Let f(h) = -3*h**2. Determine y(f(n)).\nAnswer: -435*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 299\/3 + -295\/3. Let n(o) be the first derivative of -2*o - l*o**3 - 2 + 0*o**2. What is the derivative of n(f) wrt f?\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(204) - (sqrt(204) + sqrt(204)*-1)*1)\/sqrt(12))**2*4.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**5\/20 + 7*v**4\/12 + v**3 - 2*v**2 - 135*v. Let p be a(-5). What is the greatest common divisor of 56 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214754420 to the nearest integer?\nAnswer: 14655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 102455124 a multiple of 2859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**0)**(1\/28))**(2\/27))**(-2\/131) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/1699, 182, -0.3 in descending order.\nAnswer: 182, -5\/1699, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = a + 16, 4*a + 24*m - 26*m = 13*m + 76 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1730*n = 1732*n + 4*v - 8, 2*n - 3*v = -13 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62382 (base 9) to base 11.\nAnswer: 28a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 26*u**6\/15 - u**4\/12 - 43*u**2\/2 + 30*u. What is the third derivative of g(p) wrt p?\nAnswer: 1248*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413.955 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320474 (base 8) to base 11.\nAnswer: 73282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75117051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j - 30 = 0. Let r = 31 - 16. Find the third derivative of -2*n**2 - j*n + r*n + 2*n**3 wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**3 + 9*b**2 - 67*b - 4. Let m(r) = 5*r**3 - 9*r**2 + 68*r + 5. Let i(o) = 6*j(o) + 5*m(o). What is the second derivative of i(f) wrt f?\nAnswer: 6*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 2*b - 25, 66*b + 25 = 69*b - 2*z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56847*l**5 - 2*l + 6348 wrt l?\nAnswer: -1136940*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**3 - 134*h**2 + 395*h - 262 = 0. Calculate h.\nAnswer: 1, 2, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13958782*f**4 + 4993627 wrt f.\nAnswer: 55835128*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hsh when three letters picked without replacement from hhshshh.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4508996893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 219\/876 - 3900\/(-80)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -197 - -199. Suppose -a - 2 = 0, -t*f - f + 211 = -5*a. Calculate the remainder when f is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 108\/16 + ((-9)\/12 - 0). Suppose -2*y = 4*j + a, 5 + 5 = -2*y - 5*j. Suppose 4*c = y*c - 30. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166630 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3122235 to the nearest integer?\nAnswer: 1767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, o: 3, d: 6}. Give prob of picking 1 d and 1 k.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 8) to base 14\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21189434528.9 from -0.0487.\nAnswer: -21189434528.9487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 0*s**2 + 2\/3*s**3 - 27 + 0*s - 5\/6*s**4. What is d in c(d) = 0?\nAnswer: 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 3*v - 40, 5*y - 5*v - 16 = 14. Let s = 35\/3 - y. Factor s*z**2 - 4*z + 6.\nAnswer: 2*(z - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*p - 17 + 17 - 2064*p.\nAnswer: -2469*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-1*5\/125*-5. What is i in 8\/5*i**3 + 0 - i**4 - o*i**2 - 2\/5*i = 0?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(343) + -1 + -2) + 2 + ((-1 + 0 + sqrt(567))**2 - (-2*(sqrt(7) + -1) - sqrt(112)*1)**2).\nAnswer: 34*sqrt(7) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 20*h**3 - 47*h**3 - h**4 + 33*h**2 - 1 + 64*h**3 to t + l*h + r*h**3 + f*h**4 + d*h**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 1:32 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -3*z + r + 53, 205 = 4*z + r. Calculate the remainder when z is divided by 1\/((-9)\/(-78))*3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/23, 0, 86, -4\/755?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 b when three letters picked without replacement from {j: 5, b: 4, r: 1, t: 3, u: 6, h: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102651060 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -19349 to the nearest one hundred.\nAnswer: -19300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202947 is divided by 367.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, n: 6}. What is prob of sequence hnnn?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24*((-48)\/8)\/(-18). Suppose 5*g - 943 = -3*w + 1950, 0 = 2*g + d. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 475*b + 1 + 4 + 481*b + 7. Let p(f) = -f**3 - 8*f**2 - 8*f - 1. Let h be p(-7). What are the prime factors of c(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -1\/8*k**6 - 10*k**3 - 5\/3*k**4 + 0 - 83*k**2 + 13\/12*k**5 + 0*k. Solve i(b) = 0 for b.\nAnswer: -2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4*w - 36 = 0, 32*x - 35*x - w + 27 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -5 (c) 98 (d) -767.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00112319 rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 9\/5 (c) 3 (d) -0.134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -t, 3*t + 112 = 2*s + 36. Suppose -v - 5*p + s = -40, 0 = 3*p. Calculate the highest common divisor of 27 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2aee + f?\nAnswer: 2afd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13749 - 13757 - 29*r + 27506.\nAnswer: -29*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1189821.7 to the nearest 10000.\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 49*q + 176. Calculate the lowest common multiple of 1640 and y(4).\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3335*x - 3372*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 - 55. Let r be (n + 0)*(-200)\/3. Suppose 3*u = 8*u - r. What is u rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -40 + 38 - (-12 - 0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1250.397162s?\nAnswer: 0.002067455625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1046 - -425?\nAnswer: -b21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*o - 36*o = -8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 718952855 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.15 (b) -10 (c) 20 (d) 160\/21 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 greater than or equal to 418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from {b: 1, k: 1, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 + 60*k + 24. Is 32 a factor of n(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 + 0.01. Let g = 2.06 - l. Let w = -444.2 + 445.2. Put g, -5, 0.3, w in ascending order.\nAnswer: -5, 0.3, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110400 and 33120.\nAnswer: 331200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozon when four letters picked without replacement from {z: 1, s: 2, n: 1, l: 1, q: 2, o: 2}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 544, 1095, 1648, 2203, 2760, 3319?\nAnswer: 3880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**2 + 213638*s - 11410298761 = 0.\nAnswer: 106819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 18*j**2 - 48*j.\nAnswer: 3*j*(j - 8)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-3)\/42)\/1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -11616.237359 to 1 decimal place.\nAnswer: -11616.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 8*l - 4. Let c be k(7). Suppose -c*g = g - 28. Suppose -5*y + g*y + 4*t = 40, 0 = 4*y - 4*t - 80. Solve 0 = -5*o + y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -27.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + 0 - (3 + (-2 + sqrt(180))**2).\nAnswer: -187 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 930?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -147*d**3 + 81*d - 9. Let v(o) = 37*o**3 - 20*o + 2. Let w(g) = 2*t(g) + 9*v(g). Let z(k) = 11*k**3 - 5*k. Determine 5*w(y) - 18*z(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34303 is divided by 762.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7*j**3 + 0 - 2\/7*j**4 + 0*j - 4\/7*j**2.\nAnswer: -2*j**2*(j + 1)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -20, -313*p + 624*p + 3*j = 316*p + 90 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5125654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 116 = 6*k. Let h = k - -43. Suppose -3*g = -u - h, -3*g + u = 6*u - 38. Round g to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -76. Let r be 0 + (1 - (0 - 2)). What is the highest common divisor of r and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 0.13, -183, -4\/5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t - 939. Let h(n) = -2*n**2. Calculate l(h(a)).\nAnswer: -14*a**2 - 939","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/32633 and 92\/15.\nAnswer: 489495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 7*r - 1. Let c(i) = i**2 - 4*i - 2. Let s be c(3). Let p be f(s). Let v = p + -1. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 4, -4, 113, 14 in decreasing order.\nAnswer: 113, 14, 4, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*d = -142*d - 41020. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/8*-2 + (-6)\/(-4). Solve m + 2*i - 12 = -2*i, -2*m = -j*i + 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - (sqrt(931) + -5 + sqrt(931) + -2 - sqrt(931)) - sqrt(931) - (3 + sqrt(931) + 4 + sqrt(931))) + (sqrt(931) + 2)*2*5*-4)**2.\nAnswer: 48160*sqrt(19) + 1727819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1671716 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -147, -182, -209?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*a**2 + 19*a**2 - 21*a**2.\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2439, 1879, 557, -1845, -5645?\n\"Answer: -53*v**3 - 63*v**2 + 2555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p**2 - 22*p - 40. Let i(w) = 4*w**2 - 19*w - 33. Let r(z) = 5*g(z) - 6*i(z). Let q(t) = 2*t**2 + 4*t + 0*t - 3 + t. Calculate 3*q(n) - 4*r(n).\nAnswer: 2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9348, -18700, -28050, -37398, -46744, -56088, -65430?\n\"Answer: d**2 - 9355*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6318746 to four dps.\nAnswer: -1.6319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 10*h = 56*h + 252 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 12*u. Let o(h) = -h**2 - h + 1. Let x(i) = 11*i**2 - 6*i + 6. Let m(d) = 6*o(d) - x(d). Determine m(f(k)).\nAnswer: -2448*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g**2 - 13*g - 10. Determine y(6).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4\/11 + 158*f**3\/11 + 3840*f**2\/11 + 28000*f\/11 - 32000\/11 = 0.\nAnswer: -40, -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - 3*p**2 - 4*p**2 + p**2 - 2 + 2 + (-4 + 1 + 2)*(2*p**2 - 3*p**2 - p**2) - 2 + 5 + 0 + 4*p**2.\nAnswer: p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfn when three letters picked without replacement from nfnfnfnnnf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 56\/10*20\/8. Let k be (-24)\/15*(-140)\/(-728) - (-424)\/26. Solve k = w + r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178680 divided by 29780\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 + -74. Let n be 2\/(c - (-3 + -3 - -4)). Let -8\/5 - 8\/5*w - 2\/5*w**n = 0. Calculate w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13\/130)\/((-4)\/10). Which is the nearest to r? (a) -0.1 (b) -2\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2217 + -2218. Let v(u) = -u**3 - u**2 + u. Let d(f) = -4*f**3 + f**2 - f. Determine i*d(z) + v(z).\nAnswer: 3*z**3 - 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8080 (base 9) to base 11.\nAnswer: -4488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 206*v**5\/15 + v**4\/12 - 107*v**3 + 255*v**2. Find the first derivative of p(a) wrt a.\nAnswer: 1648*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28114813 is divided by 1726?\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v**3 - 12*v**3 + 4*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -544 + 564. List the prime factors of 3 - -6*i\/15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 8. What is the nearest to 0.1 in -4, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**5\/20 + 7*f**4\/6 + f**3\/3 - 13*f**2\/2 + 72*f. Let v be j(14). Calculate the greatest common factor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344 - 688 = 2*m + 2*w - 350, 157*w = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20451.034 rounded to the nearest one hundred?\nAnswer: 20500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3514 (base 6) in base 12?\nAnswer: 59a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 94*u**2 + 86*u - 16837. Calculate g(93).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 16*n - 1280.\nAnswer: 4*(n - 20)*(n + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhathhat. Give prob of picking 1 t and 1 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -s + 96, -20*s - 4*b - 116 = -21*s. Which is bigger: 99 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14456 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-7)\/(6\/((-12)\/14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267267350 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1592198218*0.1.\nAnswer: -0.01592198218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 3654\/270) + 1\/(-15) + 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4)*1 - 34515\/78. Let s = u + 743. Round s to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 11 = 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.25 - 7.35. Let j(f) = -f**2 + 9*f + 10. Let y be j(10). Let q = -2 + 1.9. What is the closest to q in y, 1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 9 - 6)*(-70*i**2 + 5*i**2 - 45*i**2).\nAnswer: -1210*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2547 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or -1654?\nAnswer: -1654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 s, and 2 v when four letters picked without replacement from lilsmvlvsv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -11)*(-2)\/7. Let g(l) = 91*l + 0*l**3 - 3*l**3 + 15*l**f - 93*l + 45 + 2*l**3. What is the hundreds digit of g(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2613266 (base 7) in base 9?\nAnswer: -567002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*s)*(-2 + 2 - 4*s**2) + 7*s**3 + 0*s**3 - 4*s**3 + (2*s**2 + 4*s**2 - 3*s**2)*(2 - 2 - s).\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -132557479 minus 488310?\nAnswer: -133045789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/410 and 20\/451?\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.1, 2686, -1\/3, -0.5, 3, 0.26?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a decade in months?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 - 11*m**2 - 2*m + 12. Give j(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 2*t**3 + 2*t**3 + 7*t**3.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/19 in 1\/4, -25\/19, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - p + 237 - 197 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1538, 5, 23, -1\/5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -418, 3\/7, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1523ad - b?\nAnswer: -1523b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/18760 and -103\/6708040.\nAnswer: 46956280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 19. Let c(u) = -u**3 + u + 12. Calculate the remainder when f(5) is divided by c(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -516515397*f**4 - 493537816*f**2 wrt f?\nAnswer: -12396369528*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23)\/6 + (-17)\/102. Let t be (554\/p)\/(3\/(-6)). Is (t*7)\/((-3)\/(-8 - -5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123 - -123. Let u = -2 + 3. What is the closest to u in x, -0.1, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 10:51 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.094 + 0.306. Let v be ((-4)\/115)\/((-188)\/(-470)). Which is the smallest value? (a) -1\/4 (b) v (c) i (d) -36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - s**2 - s + 1. Let k(g) = 8*g**3 - 12*g**2 - 12*g + 12. Suppose 4*j + 0 = 24. Suppose -4*p = -5*h + j, p - 3*p = 8. Calculate h*k(q) + 24*c(q).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12911384 and 88?\nAnswer: 142025224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 1:29 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-1) + 2 - -6. Let r = 11 - j. Solve 8 = -4*a - r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -76523 + -77.\nAnswer: -76600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -693, -3036, -6933, -12378, -19365?\nAnswer: -27888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6476 by -10.\nAnswer: 3238\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243544 is divided by 45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-8*(-6)\/216)\/(2\/12)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 4 + 19. Let w(a) = -2*a - 4. Let m(s) be the second derivative of s**3\/6 + s**2\/2 + s. Let d(n) = -6*m(n) - 2*w(n). Determine d(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 290 - 306. Calculate the common denominator of ((-642)\/t)\/(11 - (-3)\/12) and -40\/11.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 321 = 367. Let q be (21\/(-9))\/((-2)\/174). Let h = g + q. What are the prime factors of h?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*g = 5*c + 76*g + 31, 8 = -2*c - g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-3) + 3\/9. Suppose -11 = n*y - 67. Suppose 15*a - y*a = 4. Solve -3*k - 4*f - 13 = 0, a*k - 6 = f + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4522361122.\nAnswer: 2, 2261180561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2220658678 and 0.964.\nAnswer: -2220658677.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = z + 1. Suppose -2*p + 110 = 5*w, -w + z*w = 0. What are the prime factors of p?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5 (b) -2 (c) -1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2449 + -19595\/8. Sort 2\/15, 0.35, a, -1 in descending order.\nAnswer: 0.35, 2\/15, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000001353261 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -757.5534.\nAnswer: -757.7534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 - 20*l - 37. Let m be k(-7). Suppose 0 = -7*t - 26 - 9. Put 2, 0, t, m in decreasing order.\nAnswer: m, 2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(4\/3)*c*c*c**(2\/51)*(c*c*c**(1\/10)*c)\/(c*c*c**3*c*c))**47 assuming c is positive.\nAnswer: c**(11327\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39574*p - 22009*p - 20736*p)*(-p**4 + 2*p**4 - 3*p**4).\nAnswer: 6342*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(1 - 3 + 1)*(-17*c + 14*c - 30*c) as q*c + v and give q.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 72*a + 3. Let s(j) = 3*j - 26. Let i be s(10). Is x(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 11*j + 8. Let b be o(-7). Let f be (-7)\/((-35)\/(-25)) - ((-9)\/(-3) + 12). Is f smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 6*g**2 - 10*g + 12. Give a(-8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 25 + -20 + (26 - 1) + 4 + -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/9)\/1*3\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.7 rounded to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a minute in seconds?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342.665 tonnes to nanograms.\nAnswer: 342665000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122012 - -2022221?\nAnswer: 1200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5781*s**2 - 11536*s**2 + 5761*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -15 + -8 - (-3 + 7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -31, -107, -213, -349?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4722709, 4722753, 4722819, 4722901, 4722993?\nAnswer: 4723089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 222250 to the power of 1\/2, to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + 1 - (-7 + 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -113? (a) -3\/7 (b) -0.1 (c) 0.4 (d) -4 (e) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 9*m - 15. Let u be o(-5). Suppose -f = u*s - 22, -18 = -f + 4*s + 40. Let x = 211 - f. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*d = 5. Let u be (4\/38)\/((-470)\/(-4465)). Let n be 10 + (-5 + u)*d. Solve 4*i = -14 - n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -61 and -56 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/225 and -83\/21.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1901 + -83.1901. Which is the nearest to 2? (a) d (b) -0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9))**(-2\/31) assuming q is positive.\nAnswer: q**(18\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 830 and 1488850?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3 + (-52)\/(-12) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1233 and 9?\nAnswer: -11097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003395 rounded to five decimal places?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 2102?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -8*y**2 - y + 1. Let i(s) = -s + 10. Let m be i(6). Suppose 2*z - m = -2. Let r be 2 + -3 + (z - -1). Calculate q(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13640\/495)\/124*171\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -311560735?\nAnswer: -93468220.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11777, -11582, -11389, -11198, -11009, -10822, -10637?\n\"Answer: -r**2 + 198*r - 11974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2754147 bigger than -2754132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-7 - 0) + 2 + -4 + 43)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4931*c**2 - 4*c*i**2 - 2984*i**2 - 1 wrt c?\nAnswer: 9862*c - 4*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 74693370.\nAnswer: 74693369.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 348*b + 16708. Determine f(-48).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -74*j**3\/3 - 515*j. Let o(t) = -7*t. Calculate x(o(f)).\nAnswer: 1036*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309*i = -305*i - 2648. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 12:14 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -24*t**2 + 22*t - 8998. Let x(s) = 9*s**2 - 8*s + 3000. Determine 4*o(m) + 11*x(m).\nAnswer: 3*m**2 - 2992","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11820 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/(2*sqrt(768) - sqrt(768)) + 0 + sqrt(343)*2 + sqrt(343) + sqrt(343))*-5)**2.\nAnswer: 8859375\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2. Let v(b) = -11*b - 2. Let q(m) = -9 - 6*m - 4*m + 6. Let z(f) = -4*q(f) + 3*v(f). Let n(i) = i + 1. Let t(y) = 6*n(y) - z(y). Give r(t(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 834 = -43*w + 96 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/323 and 69\/1615?\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10507 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -29. Let s = 23 - k. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - (-4)\/(-6))\/((-44)\/198).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*f - 32 = -0*z, 2*f = 6. What is the least common multiple of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o. Suppose -782 - 1402 = 12*n. Let x = 184 + n. What is t(x)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmrjmmmmrmmrrmmj. What is prob of picking 1 j and 2 m?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10925.\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + p + 15. What is the units digit of l(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 46 - -5a7b?\nAnswer: 5ac2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87950 + 37202 = -215*a + 78252. What is the highest common factor of a and 1275?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13337073?\nAnswer: 3, 1481897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x. Let q(i) be the third derivative of 0*i + 0 + 5\/6*i**3 - 1\/3*i**4 + 4*i**2. Let u(d) = d - 1. Let l(f) = -2*q(f) - 10*u(f). Determine c(l(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + -2 + 15 + -8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkikikiikdikk. Give prob of sequence ik.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at most 30843\/650?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*(-5*(1 + sqrt(637)) + -3)*5)**2.\nAnswer: 341250*sqrt(13) + 9991150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 5 (c) 1\/4 (d) -2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 5*n**2 - 4*n + 4. Suppose 0 = -36*o + 30*o - 24. Determine i(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5517706717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 5*c - 1. Let t be ((-3 - 3) + 6)\/(c - -1). Solve -v = -5*n + 1, 4*v + t*n + n = 17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1673 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 2*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 22. Suppose -2*c + 3*q = -7, 3*c + 3*q + 15 = -q. What is the units digit of (x - (c + -2)) + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181.38231 to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 194157719557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - 10.4. Which is greater: 1\/3 or f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 11*z**2 - 26*z - 12. Let t be u(7). Suppose 0 = -4*g - w + 1 - 7, 0 = 4*g - t*w. Let i(c) = 18*c**2 + c. Determine i(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 0*a - 8 + 1\/2*a**2. Calculate n(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**2 - 2*l - 5. Let n(f) = 1. Determine -a(h) - 5*n(h).\nAnswer: -5*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3877 - 2633 = -344*a + 1274*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1404 is divided by (32 - 14)*(7 - 68\/12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -326?\nAnswer: -326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4*r - 3*u + 16, -3*u + 48 = 3*r. Suppose -5*x = -0*x - 3*p - 12, 5*x + 4*p + r = 0. Let i(f) = f**3 + f**2 + f - 6. Give i(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 21*d + 5*d - 900956. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/24 + 66\/8. Let s be ((-9)\/6)\/((-2)\/h). Solve -3*j = -2*o + s*o - 15, -2*o + 5*j - 25 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -752*z**4 + 3*z**3 + 73377*z**2.\nAnswer: -18048*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*y + 44*y - 29*y)*(0*y**3 - 2*y**3 + 4*y**3)*(-4 + 4 - 1) in the form i*y**2 + g*y**4 + v + k*y**3 + z*y and give g.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, p: 1, f: 8, b: 1, m: 2, t: 1}. What is prob of picking 1 p, 1 m, and 1 v?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5120*o**2 + 9902*o**2 + 10904*o**2)*(6*o - o - 3*o)*(3 - 4 + 4) to the form p*o**2 + z*o**3 + r + f*o and give z.\nAnswer: 94116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 782482709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 864795683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/345821 and 25\/5057?\nAnswer: 4495673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 5033081.\nAnswer: 20132324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -186923*x**2. Let s(k) = -k. Calculate o(s(j)).\nAnswer: -186923*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 526 + 5*c**2 - 73 + c**2 - 2*c**2 to k*c**2 + v + y*c and give v.\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 5*v + 1. Let t be n(-5). Let g(j) = -4 + 2 + 3 - 2. Let h(x) = 10*x**3 + x**2 + 2. Let c(y) = -2*g(y) - h(y). Determine c(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s + 13. Let i be u(-6). Suppose -i*l + 23*l = -56. What is the remainder when 106 is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -9\/560*u**8 + 0*u**3 + 0 + 6*u**2 + 0*u**4 + 9\/350*u**7 - 3\/200*u**6 + 0*u + 1\/300*u**5. Factor h(k).\nAnswer: -k**2*(3*k - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177044 = q + t, -739*q = -736*q - t - 531152. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from casaassqssqc.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19957 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5107, -6066, -7025, -7984?\nAnswer: -8943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 6)*(-2 + 2 - 3*w)*(-9 + 9 + 8*w**3)*(-2*w - 4 + 4).\nAnswer: -144*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a day in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -267? (a) 4\/5 (b) 1 (c) -2773\/2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1\/2 (c) -4\/279 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*v + 4207 = -733*v - 11506 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -603 + 371. Let b = l - -257. Solve 0 = y + 4*a + 20, 2*y + b = y - 5*a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - b + 1)*(5*b - b - 1 - 5*b).\nAnswer: b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(504))\/(sqrt(200) - -1*sqrt(200)).\nAnswer: 3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**5\/8 + 9*s**4\/2 + 174479*s**3\/8 + 348747*s**2\/4 + 217925*s\/2 + 43581 = 0. Calculate s.\nAnswer: -398, -2, -1, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (39244\/(-258))\/(24\/(-3564)). Let k = j - 22587. Calculate the common denominator of -15\/8 and k.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43849 = 103*a + 7230 - 47532. Calculate the greatest common divisor of 172 and a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-83)\/498)\/((-12)\/(-360))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/357 and 127\/84.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 62*y**2 - 62*y - 251. Determine z(61).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31518 and 16660?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -10*m + 1. Let a be l(1). Let o be a*(12\/(-24))\/((-2)\/4). Let s = -5\/22 - -79\/154. Is s greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65502876 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 14*w - 21 = 0. Solve w*a - 5*j = 2*a + 23, 2*j = -a - 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 27123*s**2 - 677*s - 195. Let u(o) = 6781*o**2 - 149*o - 49. Let k(z) = 2*c(z) - 9*u(z). What is the second derivative of k(v) wrt v?\nAnswer: -13566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8739247397 to the nearest integer?\nAnswer: 93484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 63\/15)\/(6\/20). Suppose q*c - 268 = 2*x + 264, 392 = 3*c + 2*x. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 48 = 12. Suppose -w = -9*n + 7*n. What is the greatest common divisor of n and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f - 2*f**3 + f**3 + 6*f**2 - 5*f**4 + 2 - 7*f + 3*f**3 to m + k*f + h*f**4 + o*f**3 + g*f**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122 + -130. Let p be ((-12)\/8)\/((-18)\/24). Which is the smallest value? (a) 2\/7 (b) s (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 7:21 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 2, v: 8, a: 6, m: 1, l: 2}. What is prob of picking 1 l and 1 v?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59a (base 11) in base 13?\nAnswer: 42c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1279048369, 1279048376, 1279048397, 1279048438, 1279048505, 1279048604, 1279048741, 1279048922?\nAnswer: 1279049153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/10 - (-2382)\/5. Suppose 3*f - 93 = a. Let v = f - 1332\/7. Is v bigger than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9283 + 57?\nAnswer: 9340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11764 is divided by 46?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2607 (base 8) to base 16.\nAnswer: -587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -428898 (base 13) to base 11\nAnswer: -977077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6738.4332us to days.\nAnswer: 0.000000077991125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 453 + -456. What is the second smallest value in h, 4, -4, 0.07?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7892 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 4, a: 2}. Give prob of picking 2 m.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iicigiiigigigif. Give prob of picking 1 i and 1 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -6 + (49 - 20).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 11:01 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2093 is divided by 521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 31 - 19 = 0. Suppose -6*m + 8 = -2*m. Let 0 + 1\/2*l**m - 1\/3*l + 7\/6*l**n + 2*l**3 = 0. What is l?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1667, -1680, -1703, -1742, -1803, -1892, -2015, -2178?\n\"Answer: -b**3 + b**2 - 9*b - 1658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 84 and -10098857.73?\nAnswer: 10098941.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -14 (c) -1\/8 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*((-39)\/(-2))\/(-3). Let m = 5 + -3. Suppose 3 + 2 = 5*d - m*b, 0 = 4*d + b - 17. Solve -a = 2*p - d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**7\/70 - p**4\/8 + 14*p**2. Find the second derivative of k(j) wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 882*a - 3583. Give j(4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 + 1 - (-2 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.028 (b) -21 (c) 0.3 (d) -0.11 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1646.6414 - -0.6414. Which is greater: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-7) + 5\/7. Let t be 3\/((-6)\/30*-5). Let n be t + (4\/d - 1). Solve n*w - w - 5 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*o + 1. Suppose o*f - f - 9899964 = 0. Suppose 2*d + 82665 + 577327 = -l, 0 = -5*l - 3*d - f. What is l rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.5457*2\nAnswer: 7.0914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 18391*r + 183911. Calculate q(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1420037\/185 - -52701\/74. Let f = x - -6977. Let l = f - 27\/2. Which is the third smallest value? (a) -0.5 (b) l (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6937 or -6939?\nAnswer: -6937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14821*i**6 + 3*i**2 - i + 52?\nAnswer: -1778520*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 548749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 9:17 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -5) + 2 - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((1 + 2)*(5 + -2))\/1 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1 = 9. Let p = 6 + z. Let n(m) = m + 12. Let d be n(-7). Solve p*g = -o - d, -2*o + 0*g - 8 = 3*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657844031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -2\/21, 0.5, -1.721216 in increasing order.\nAnswer: -1.721216, -2\/21, 0.5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-14) + 1\/2. Is 39 a factor of (-18 - w)\/((-4)\/26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z = 17*z + 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 1\/13 (c) 1\/102 (d) 1\/6 (e) -3 (f) -0.339 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28, 35, 58, 103, 176, 283?\n\"Answer: n**3 + 2*n**2 - 6*n + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*a - 2139 = -45*a for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6661 is divided by 530?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1857*v**4 + 109*v + 12*v**2 + 1834*v**4 - 12*v**2 wrt v?\nAnswer: -276*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-37)*h*h)*h**(-21)*h)**(-47) assuming h is positive.\nAnswer: h**(-705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 24*x + 9 - 10.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 375857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 1:24 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3145 - 2837 - 1882 = 983*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 838985923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 282.9075g in milligrams?\nAnswer: 282907.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*1\/2 - (-2088)\/16 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*((-6*2*sqrt(637))**2 + (2*(sqrt(637) + 0))**2 + -1 + -4)*6.\nAnswer: 565630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*k - 27*k + 38*k = 657 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -435455 - -435454. Let k = -6 + 1. What is the closest to l in -2\/7, 0.003, 2\/11, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*h - 8, 4*h - 4*s - 1 = 7. Suppose 930 = -h*u - 3*u. Let x = u + 325. What are the prime factors of x?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = y - 16, -6 = q - 5*y + 10. Let r(o) = 5*o**2 + 2*o. Let c(w) = -w**2 - w. Give q*c(l) + r(l).\nAnswer: l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1875754363410383.0000014 + -1875754514422799. Let z = 151012433 + n. Let r = z - 17. Round r to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 651590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1877148 and 364?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 13*g**2 - 4*g - 11. Let i(s) = 6*s**2 - 2*s - 5. Let r(n) = 9*i(n) - 4*v(n). Let t be r(2). Find the second derivative of f + t*f**3 + f - 4*f wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*n**2 + 7*n**2 + 15*n**2)*((2 + 1 - 1)*(-3 + 3 + 1) + 6 + 5 + 0).\nAnswer: 143*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + q = 216 - 194, 3*w = -3*q + 72 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*j - 41 = 18 + 59 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.027?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218068 is divided by 30981?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbcdsappcpscss. What is prob of sequence asbd?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b*t*y + 77099*b*t + 3422312*t*y with respect to b.\nAnswer: -3*t*y + 77099*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-45)\/10)\/(6\/(-8)). Let r be t\/18 + (-2698)\/(-6). Suppose 0*v + r = 3*v + i, 2*v + i = 301. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 100 = 2*h - 20, 4*x = -3*h + 195. Suppose 0 = m - 3*c - 4 - 31, m - 5*c - x = 0. Solve 18*f - 6 = m*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2)*(-4*r + 3*r + 0*r)*((-1 - 5 + 5)*(-2 + 0 + 0) - 3 + 4 + 1 + 1 + 0 - 15)*(-4 - 1 - 1) as u*r + h and give u.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3 = 15. Let g = c - 0. What is the units digit of 5 + g - (2 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 167\/6 - 2155\/78. Find the common denominator of z and -73\/351.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 654, -40, 10 in descending order.\nAnswer: 654, 10, -29, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 364 and 19292.\nAnswer: 19292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -634, -1140, -1626, -2086, -2514?\n\"Answer: q**3 + 4*q**2 - 525*q - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/2))**(-28))**(-14))**(-2) assuming y is positive.\nAnswer: y**392","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w - 36. Let u(g) = -4*g - 72. What is 5*s(l) - 2*u(l)?\nAnswer: -2*l - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (218\/327)\/((-6)\/(-117)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42606 + -25419. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46782 = 1350*i - 3897 + 58365 for i.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 12061640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 3*a + 0*a**2 - 11\/4*a**4 - 1\/90*a**6 - 9\/2*a**3 - 6 - 19\/60*a**5. What is s in x(s) = 0?\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-13)\/c*c**4*(c**(-8)\/c)\/(c\/c**(2\/27)) assuming c is positive.\nAnswer: c**(-538\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2536800 rounded to the nearest 10000?\nAnswer: -2540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 684.9095 weeks in days?\nAnswer: 4794.3665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.809618518 times -0.2\nAnswer: 0.1619237036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w. Let j(k) = 5*k - 1. Let z be (-6)\/8*(-60)\/15. Let i(x) = z*j(x) - 4*r(x). What is the derivative of i(t) wrt t?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3240 (base 6) to base 16\nAnswer: 2e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 70*i**3 + 2*i**2 + 2. What are the prime factors of m(2)?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + s - 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/11 - 6912*p\/11 + 13828\/11 = 0. What is p?\nAnswer: -6914, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -3*n + 5*k - 42, 2*n - 5*k = 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -3*h - v, 2*h - 84 = -0*h + 5*v. Suppose 0 = 32*l - h*l + 5. Let k be 228\/24 - l\/2. Solve k = -5*x + 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 12. Let c be 142\/(-497) + 12\/14*12. What is the derivative of -3*f**2 - n*f**2 + 9*f**2 + c wrt f?\nAnswer: -14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 7:06 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/24 and 1405\/(-3375) + 24\/72.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62598 by 10433.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24950 + -3*(-3)\/6*20\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 3\/26, 10 in decreasing order.\nAnswer: 10, 2\/9, 3\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 o when three letters picked without replacement from {o: 3, p: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/(-72) + (-4)\/(-16). Suppose -a - 1 + 2 = 0. Is a at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213536 (base 10) to base 11.\nAnswer: -136484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3*-13*(-42)\/91?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -49657*t + 5*t**2 + 49657*t. Let c(p) be the third derivative of -p**4\/24 - 21*p**2. What is c(z(a))?\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -10*a**2 + 4*a - 5. Calculate m(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2959290 divided by -84.\nAnswer: 493215\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110662 + 10956208\/99. Let c = n - 72\/11. Let t = -0.08 + -3.92. What is the third smallest value in 0.1, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4506 is divided by 361.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 - 1.2. Round v to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 680, 1353, 2026, 2699?\n\"Answer: 673*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1327 - 213?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.302*-4\nAnswer: -1.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 506*i + 14412. Give s(27).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 102114684?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**5\/7 - 74880*h**4\/7 - 74857*h**3\/7 + 1647294*h**2\/7 - 3294652*h\/7 + 256728 = 0.\nAnswer: -74879, -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 8:57 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1060 (b) -1\/8 (c) 10\/7 (d) -0.5 (e) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 less than -936?\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -57*g**2 - 94*g - 1. What is q(-2)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 695 divide 139501095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -404*i + 4052. Determine a(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02022761 rounded to five decimal places?\nAnswer: 0.02023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50707?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467787 is divided by 55?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 349984650?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 85 = -10*x. Sort -4, x, 2, -3 in ascending order.\nAnswer: x, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*f, 4*f + 3 = -3*v + 8*v. Suppose 2*a - 1 = v. Let u = 414 - 410. Solve -6 = -a*y - u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 979\/9 - 109. Let n = 34.162 - 42.162. Sort 4, i, n, -3 in descending order.\nAnswer: 4, i, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -7. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58178 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 290.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 - 3*s**3 + 4*s**3)*(-2*s**2 - 2*s**2 - s**2).\nAnswer: 10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14099579.\nAnswer: 13, 17, 63799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000502353736 to 5 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 11*p**2 - 22*p + 28. What is b(-13)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z**3 - 513450993 + 513450993.\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - k - 1. Let b be c(-1). List the prime factors of (-2 - b)*350\/(-10).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 + 3*f**2 + 5*f + 2. Calculate r(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 18. Let k = z - 2. Suppose 0 = 4*r + 12*j - 68 + 80, 0 = -4*j - 8. Solve k*l - 4 = r*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q**3 - 19*q**2 + 3*q - 3. Let a(p) = 14*p**3 - 29*p**2 + 4*p - 5. Let m(t) = 5*a(t) - 8*k(t). Let g be m(4). What is g rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from ffzfffz.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**2 + 355*j - 295. Determine i(-72).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-153)\/(-136))\/9*40?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 2*t**2 + 3*t + 5. Let l be -3 + (-2 - -2) + 3. Suppose -r = 3*g - 7*g + 19, l = -5*g - 2*r + 14. Is v(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 327656016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k + 3. Give q(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -364 + 364.066. Let s = i - -0.109. What is s rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -197\/3 or 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 798 and 182658?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Let k = p - 1. Let c be (-58)\/(-18) + (-6)\/27. Solve k*g = -c*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27879 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88571*x**5 - 32*x**4 + 444101*x**2 - 6?\nAnswer: 5314260*x**2 - 768*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(162)*1*1*-3.\nAnswer: 81*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 463518949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -353\/12 + 89\/3. Let y = 5 + 0. Let m = -8 - -5. Sort y, i, m in descending order.\nAnswer: y, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 326, 259, 156, 23, -134, -309?\n\"Answer: j**3 - 24*j**2 - 2*j + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 - 34 = 5*i + p, 14*i = -4*p + 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 152651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 1:36 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c**4 + c**4 + 2*c**4)*(22*c - 22 + 22) + (2*c**3 - 4*c**3 + 3*c**3)*(-53 - c + 52 - c**2 - 2*c).\nAnswer: -199*c**5 - 3*c**4 - c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 539137 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2357*r**3 + 184*r + 4712*r**3 - 2280*r**3 - 184*r.\nAnswer: 75*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (35\/14)\/((-1)\/14). Let l = a - -33. Put -0.2, 7, l in descending order.\nAnswer: 7, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l**(14\/3)*l)\/l)*l*l**11*((l**(-5)*l)\/l*l)\/((l\/(l*l**(-3\/5)\/l*l*l*l))\/l*l) assuming l is positive.\nAnswer: l**(86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a micrometer in nanometers?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298313054?\nAnswer: 2, 13, 67891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38134553.\nAnswer: 17, 2243209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2153 is divided by 2057?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 76 - 9?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 5. Let k be r(5). Let o = 617.5 - 612.5. Let n be -1 + (0 - -5) + -1. What is the nearest to k in n, -4, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 55 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88844.0042691 + -88844. Round r to four decimal places.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.094 times -0.1?\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 3*v - 6 - 4*v. Let h be o(-5). Does 2 divide -1 + h\/((-4)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1 + (56 - 49) - -8) + 7.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (702 - 659) + (-39 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5*j**2 + 0*j**2 - 3.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - i**3 + 2*i**2)*(-i + 4*i - 2*i) - 2*i + 2*i - i**4 + 6*i**4 + 30*i**2 - 30*i**2.\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and -87.\nAnswer: 52.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 854, 4455, 10780, 19829, 31602, 46099?\n\"Answer: 1362*y**2 - 485*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m. Let n(y) = -3*y. Suppose 0 = -o - 5 - 2. Let i(r) = 2*r. Let l(a) = o*i(a) - 5*n(a). What is c(l(x))?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 75254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -44560*q**2 + 43257*q. Let r(g) = 8912*g**2 - 8649*g. Let x(i) = 3*l(i) + 14*r(i). What is the second derivative of x(c) wrt c?\nAnswer: -17824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o + 2*q - 10 = 0, -25 = o - 5*q. Let p = -43\/33 + 18\/11. Sort o, -4, p in decreasing order.\nAnswer: p, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 5110?\nAnswer: 5102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -7*k - 92 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 285.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z - 4. Let d be b(-7). Let w be (0 - -1) + 0 - d. Let t = -23 - w. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-15)*1410\/1786.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2478468929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 - 7. Let y be (12\/z)\/(14\/(-21)). Let g = -0.181 + -0.119. Which is the fourth biggest value? (a) y (b) 0.5 (c) 5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 26*w + 700. Give s(47).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5197 + 10*u + 5197.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242.51 or 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 17*b**2 - b + 21. Let u be j(17). Let l(c) = -u*c + 3*c - 2*c. Let f(p) = -7*p**2. What is l(f(o))?\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*2 + -5)**2 + -5*(1*sqrt(208) - sqrt(208)) + (-2 + sqrt(208) + -1)*-6.\nAnswer: -104*sqrt(13) + 875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 16 = -60. What is the lowest common multiple of h and (-8)\/(-3) - 2\/(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 279 - 290. Let p be (-4)\/r*(-264)\/(-48). Calculate the greatest common divisor of 22 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42204 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 3*h - 10, -15 = 3*t - 0*t + 3*h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4689972*g**3*p**2 + 1036*g**2*p + 5*p**2 + 454 wrt g?\nAnswer: -28139832*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p - 1159 + 1159.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16, 16, 8, -14, -56, -124, -224?\n\"Answer: -g**3 + 2*g**2 + g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 16*j**3 - 63*j**2 + 5*j - 2. Calculate the remainder when m(5) is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 - 21325*f + 119 - 2*f**2 + 21325*f + 0*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 19 - (-9)\/(-3). Suppose -4*h - l + 55 = 0. Solve z + h = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**2 + 225*r + 226. Let m(b) = 150*b**2 + 4725*b + 4745. Let d(c) = -85*h(c) + 4*m(c). Factor d(o).\nAnswer: 5*(o - 46)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 517, 952, -1\/2, -2\/5, -1?\nAnswer: 952","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*c - 137*c - 84*c + 451*c - 86*c - 85*c.\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -0.1, -9, -3\/8 in descending order.\nAnswer: -0.1, -3\/8, -4\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18831, -37625, -56381, -75099, -93779?\n\"Answer: 19*l**2 - 18851*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100 (base 2) in base 5?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -280 + 82. Let c = 69 - u. Solve s - 7 = -c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1311, 5239, 11783, 20937, 32695, 47051, 63999?\n\"Answer: -g**3 + 1314*g**2 - 7*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2*(-4)\/2. Let q be 0 + y + (-4)\/3. Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579137241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j\/(j*j*j*j**7\/j*j))*j*j*j)**(2\/67) assuming j is positive.\nAnswer: j**(26\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -111*q + 106*q. Let o be q - -16 - (7 + 81\/(-9)). Solve 5*v + o = 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**5\/24 + f**4\/12 + f**3\/2 + 2*f. Let u(i) be the second derivative of b(i). What is u(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, x: 7}. What is prob of sequence xn?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-708)\/(-8) - 2\/4. What is the first derivative of 181*p**3 + 100 - 53 + w wrt p?\nAnswer: 543*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 r, and 1 i when four letters picked without replacement from aqraraoqqaioaao?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2)\/(1\/(-2)). Let v(d) = d**3 - 13*d**2 - d + 15. Let t be v(13). Let g(y) = 1 + y - 52*y**2 + y + 48*y**t. Calculate g(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -135511262044.\nAnswer: -135511262044.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-18)\/((y\/y**34*y)\/y) assuming y is positive.\nAnswer: y**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + (32 - 30) + 17 - -88?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152804963, -305609927, -458414891, -611219855, -764024819?\nAnswer: -916829783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 - (-72)\/(-34))\/((-34)\/391) and 10\/(-16) - 2\/(-2).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140000 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 v when three letters picked without replacement from yvvy?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34820?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 16*j**5\/5 + 8*j**4 + 6*j**3 + 2*j**2 - j. Suppose o(a) = 0. Calculate a.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**0\/r))**(-2\/47)\/(r*r\/(r**(-1)*r)*r*r)**(-7)*(((r**(-2\/7)*r)\/r)\/r)**(-4)\/(r**(-1\/4)\/r**(-3\/2)) assuming r is positive.\nAnswer: r**(41859\/1316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (496\/50)\/(4\/(-10))*375*171\/12825.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7300.011831 - 7300. What is j rounded to four decimal places?\nAnswer: 0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 15*c**2 - 49*c - 39. What is p(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgffgfbf. Give prob of picking 1 g and 2 f.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = c - 12*c. Let k be -16*(-1)\/6*3. What is the remainder when (3 - 1\/(-2))*k is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**3\/3 + 5*p**2\/2 + 2*p + 29. Give b(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-62 - (3 - 23) - 5).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*i. Let r be (5 - 2) + (i - 0). Let g(y) = 2*y**2 - 1 + 4*y**2 - y + y**3 - r + 1. Calculate g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 3988971*u - 3988968.\nAnswer: -3*(u + 1)*(u + 1329656)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 2761\/385)\/((-15)\/25). Which is the closest to -0.3? (a) -12 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*x - 202. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4054\/13 - -312. What is the closest to -3 in 3, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4331 and 45079?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1003 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 6*b**2 - 53*b - 142. Give g(7).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**6)\/(x**(-1\/9)*x)*(x\/(x\/(x\/(x*x\/x**16))))**(2\/63) assuming x is positive.\nAnswer: x**(-341\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5, -5, 7\/9?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-380)\/57)\/((-2)\/(2 + 4)). Let t(o) = -31*o + 12*o + r*o. Let m(g) = -21*g - 2. What is t(m(z))?\nAnswer: -21*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 95\/475 - 26\/(-20). Let u = -2 - -3. Let j = -1.1 - -1.1. What is the closest to u in 5, j, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/13 (b) 13099 (c) -1\/3 (d) 0 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**2 - 81796*q + 88412320 = 0. Calculate q.\nAnswer: 1145, 19304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -159 (b) -0.3 (c) -6 (d) -8\/6085\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 1\/21 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15211 and 19292.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Suppose g*z + 18 = -z. Let l(x) = x + 8. Let h be l(z). Solve 5*v - h + 22 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -24*u + 8. Let i be t(-1). Suppose -4*g + 68 = i. Let s(m) = 53330*m + 30. Let v be s(g). What is v rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.208591kg to milligrams.\nAnswer: 4208591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9647 + -9 - ((-1)\/(-3))\/(23\/(-414))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010110001011000010 (base 2) to base 14\nAnswer: 928b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1705680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - w = -0*w + 61, 0 = 2*r - 3*w - 29. Suppose 2*h - r + 2 = 0. Suppose -4*c + 26 + 10 = 0. Calculate the lowest common multiple of h and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 (base 7) in base 9?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 211 = -2*d - 232, -2*d - l = -9. Put d, -4, 3, -5, -200 in ascending order.\nAnswer: -200, -5, -4, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -33*m**3 - 4*m**2 - 3*m + 1. Let a be s(-2). Suppose -a = -h + 6*h. Sort -4, h, 3 in increasing order.\nAnswer: h, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50039 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: Put 7, -4, -1.6, 3.6, 1\/8 in descending order.\nAnswer: 7, 3.6, 1\/8, -1.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 720 (b) -11 (c) -33.64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - 33 - (0 + 2) - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 - 1863*s - 6*s**4 + 1863*s + 1 wrt s?\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**7\/42 + 13*b**4\/24 + 13*b**3\/6 + 16*b. Let h(x) be the second derivative of z(x). Differentiate h(g) with respect to g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -27*a**2 + 3. Let h(f) = -f**3 - 29*f**2 + 4. Calculate 3*h(u) - 4*r(u).\nAnswer: -3*u**3 + 21*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/11)*t\/t**(-9)*t**(3\/8)*t\/(t*(t\/t**3)\/t))**(-7\/4) assuming t is positive.\nAnswer: t**(-8015\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h + 19 = 11*h - 5*d + 2*d, 0 = 5*h + 2*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18305246 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4429830*m**2 + 271*m - 2 - 4429827*m**2 + 4 in the form a*m**2 + h + k*m and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1172 divided by -293\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54.9 less than -2111115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-68)\/286 + (-352)\/1144. Let u = g - -23\/22. Factor 2 + 3\/2*q - u*q**2.\nAnswer: -(q - 4)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 6*r - 5. Let y(j) = -j**2 + 1. Let s(t) = x(t) + 2*y(t). Give s(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2189 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*a + 5 = 1, 5*m = a + 8. Does 32 divide (-382)\/(-4) - (0 - 1\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-35)\/(-20) + 2. What is the smallest value in -1, -12, q?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*j + 1 + (4*j - j - j)*(2 - 3 - 4).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -18 (c) -859 (d) -12\/7 (e) 0 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8807.4592 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112 + 2317. Let g = s - 4197. Let l = g + 3329. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 1729*x - 8696. What is u(5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 11*b + 10. Let v be -18 + 3 + -1 + 5. Determine i(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -899*h*u - 5*h*x + 46*h + 7668624*u*x + 53*u - 2 wrt x.\nAnswer: -5*h + 7668624*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72.21453 + -68.114467. Let n = u + -4.1. Round n to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -263 - -277. Is v less than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3017646 (base 8) in base 10?\nAnswer: 794534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 30*a - 23. What are the prime factors of t(5)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**4\/4 - 4*q**3 - 2. Find the third derivative of r(z) wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -10. Suppose i*j + 15 + 5 = 0. Let v = -5 - -6. Which is the closest to v? (a) -0.2 (b) j (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/((n\/(n\/(n\/n**(-2\/13))))\/n))\/n))\/((n*n*n*n**(1\/2)*n)\/n))**25\/(((n\/n**6)\/n)\/n*(n*n**0)\/n*n**(-1)*n*n**(-3)\/n) assuming n is positive.\nAnswer: n**(-1239\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 less than -40791\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -1. Let k = z - -6. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32248 and 3016?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 185631615 a multiple of 855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 at most as big as -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (0 + (-2 - 1)). What is the first derivative of i*o - 7 + 0*o - 4*o + 19 wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 20 = -6*h. Let g(a) = 2*a**3 - 7*a**2 - 3*a - 5. Let o be g(4). Let k be (2*6\/(-24))\/(o\/10). What is the smallest value in -4\/3, k, h?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccn when three letters picked without replacement from olllcnnlnonnononnnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.037, -4, -4\/7 in descending order.\nAnswer: 0.037, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -1 + 1 - o. Let b(m) = m - 2. Let d be b(7). Let a(f) = -2*f - f + d*f. Calculate a(p(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 525 - 735. Round m to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5 = -n, -2*h + 435 = 4*n + 429 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -138911715 or -138911714?\nAnswer: -138911714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**3\/2 + 4*z**2 - z + 98. Let c(u) = u**2 + 7 - 7. Calculate q(c(y)).\nAnswer: -3*y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 less than -13596\/239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 4*o + o - 16, 5*h - o = -36 + 27 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 69*h - 2. Let x(t) = 3*t**2 - 2*t - 113849. Determine x(z(g)).\nAnswer: 14283*g**2 - 966*g - 113833","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/(k*k*k\/k**(-2)*k*k)))*k)\/(k\/(k**0\/k)*k))**44*(k*k**(-2\/7))**(-3\/2)*(k**(-2\/9))**(3\/7) assuming k is positive.\nAnswer: k**(-2119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/6468 and -1\/29568?\nAnswer: 206976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 595069 and 11.\nAnswer: 6545759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08531966 rounded to three dps?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14407965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqvoogey. Give prob of picking 1 e and 1 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.736163 weeks to nanoseconds.\nAnswer: 445231382400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1693*f**3 - 4*f - 820 + 4*f + 820 - 3*f**2.\nAnswer: -1693*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u + 16. Let v be y(-3). Let q = 17 + v. Suppose -h + 2 = -2*h - 3*d, 2*h + 2*d = 8. Calculate the least common multiple of h and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6074*k**3 + 3043*k**3 + 3033*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 119*u**2 + 714*u - 16456. Calculate q(114).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56569.\nAnswer: 56569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/((-11340)\/(-28)))\/(3\/(18\/8))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/88 - 0\/(-3). Let p = 189426\/101 + -116921443\/62216. Let j = p + c. Calculate the common denominator of j and -18\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*l - 428*l + 9883 = 1963 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-18) - 55\/(-6). Let n(h) = -17*h - 6 - 20*h + 61*h - 21*h. What is n(x)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2000) + sqrt(2000)*1 + sqrt(2000))\/(sqrt(12)\/(1*sqrt(3))).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-22)\/(-8) - 94\/(-8). Suppose -4*c = -5*v + 2660, -2*v = -6*c + p*c - 1064. Let h = -195 + v. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 851 = 4*r. Let s be -1 + 4 - r\/(-63). Let n = -8 - -12. Which is the third smallest value? (a) n (b) -1\/11 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 80 = 118. Let s be 22\/h*(-3)\/2. Suppose 7 = -3*f - 4*f. What is the nearest to f in -1, s, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 24.0055. What is k rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469621 is divided by 33539?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(3) - (2 + sqrt(147)) - sqrt(3)) + -5 + sqrt(3) + sqrt(3)*5)**2.\nAnswer: 14*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 67?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-9) - (104\/114)\/4.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200231221020 + 120?\nAnswer: -200231220300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/583 in -0.2, -10, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*2\/64*164240\/60. Let a = 1145\/6 - f. Calculate the common denominator of a and -139\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/2 - 234*c**2 + 6*c + 936.\nAnswer: -3*(c - 2)*(c + 2)*(c + 156)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/4 and -49\/2892?\nAnswer: 2892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6908971545.329 - 16\nAnswer: 6908971529.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 642, 1284, 1926, 2568, 3210, 3852?\n\"Answer: 642*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xee when three letters picked without replacement from xexeejeeexeeeexjejje?\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 39*p + 357. Give y(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 11:38 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4 - 428*g + 238*g + 192*g. Let l(n) = 3*n - 2. Let p be l(2). Give z(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/18 and 86\/189.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17154 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2785*h + 90 + 94 - 182 to the form a + n*h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s = 46*s + 112*s - 528. Let v(l) be the first derivative of -21 + 1\/6*l**s - 4\/9*l**2 - 1\/27*l**6 + 4\/45*l**5 + 0*l - 8\/27*l**3. Factor v(k).\nAnswer: -2*k*(k - 2)**2*(k + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/14 + 60\/14. Suppose -4*g = -23 - 9. Let p = g + -6. Put n, p, 3 in ascending order.\nAnswer: p, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 16 = 2*x, 26 - 44 = 5*d - 2*x. Let h(r) = -8*r**3 - 2*r**2 - 5*r - 3. Does 9 divide h(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 - 46*f\/5 - 48\/5.\nAnswer: 2*(f - 24)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - -751 - (50 - 44). List the prime factors of f\/15*165\/6.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -12*m**2 + 4*m - 7. Let f be i(2). Let r = -95 - f. Let w be (-2)\/(-4) + r\/(-32). Solve 0 = -2*a + w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012527275 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -12 - 24. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -232 in 918, 0, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -6, -235, -1917 in ascending order.\nAnswer: -1917, -235, -9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 9:50 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 463 and -269.36?\nAnswer: -124713.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 16 = -2*u, 4*u + 7 + 9 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/2 - 26956416*w + 121108060594176.\nAnswer: 3*(w - 8985472)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 504957, 2019842, 4544657, 8079402, 12624077, 18178682, 24743217?\n\"Answer: 504965*j**2 - 10*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -325 + 844. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -463 - -475. Calculate the common denominator of 89\/16 and (-135)\/24*5\/m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1189310*k**3*l**2 - 9424*k**3*l - 485*k**3 - 4*l**4 wrt l?\nAnswer: 2378620*k**3 - 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 2:58 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 408, -3, 4, -2, 0, -25 in ascending order.\nAnswer: -25, -3, -2, 0, 4, 408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3243263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.4 - -2.78. Let s = p - 0.5. Let q = -0.1199974 - s. Round q to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 42*m**3 + 12*m - 72. Let f(k) = -17*k**3 - 5*k + 29. Let t = -5 - -10. Let g(s) = t*z(s) + 12*f(s). What is the first derivative of g(x) wrt x?\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2. Let d(s) = 3379521*s**2. Calculate d(j(a)).\nAnswer: 3379521*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3 + 41. Let h(n) = -n + 9. Let d be h(-13). Let p = d + -15. What is the remainder when x is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/7 - 20\/35\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20100 (base 4) to base 11.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l + 9992 - 5008 - 4984. Let u(i) = -2*i**2 + 12*i. Give v(u(n)).\nAnswer: 6*n**2 - 36*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q + 16. What is d(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-3 + y**3 + 3) - 2*y**2 - 2*y**3 + 2*y**2 + (y**3 + y**3 + y**3)*(-8 + 0 + 0).\nAnswer: -25*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 21 = 5*l, -l = 358*n - 353*n + 15 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -737, -2949, -6635, -11795, -18429?\n\"Answer: -737*a**2 - a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(3) + sqrt(3) + 1 + sqrt(3)) + 5.\nAnswer: -12*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**3\/6 - g. Suppose -7*a = -2*a + 5*u + 10, 10 = 2*a - 5*u. Let f(d) = 2*d - 4*d + 0 + a. What is f(c(m))?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12484572 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31434, 62872, 94316, 125766, 157222, 188684, 220152?\nAnswer: 251626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 864 + -859. Solve x - l = -s, 3*s + 2*x - x = 13 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -3, -4.\nAnswer: -4, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 6*j**2 + 5*j + 9. What is the units digit of f(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, b: 3}. Give prob of sequence rb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = w + l + 2*l, 5*l = 2*w + 14. Suppose -22 = -4*o + 3*p, 25 + 14 = 5*o + 2*p. Let k = -4 + o. Solve -k*h + 3*z - 6 + 3 = 0, 0 = 3*z - w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 148*d**3\/3 - 72*d**2 - 4*d - 2456. Factor l(o).\nAnswer: 4*(o - 1)*(37*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124982952 divided by 3972?\nAnswer: -31466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14258793 and 2?\nAnswer: 28517586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8917\/68 - -508\/17. Let w = m - -102. Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 10:38 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 567671073, 567671072, 567671071, 567671070, 567671069, 567671068?\n\"Answer: -k + 567671074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31220302 (base 4) to base 14.\nAnswer: 164dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is e259c3 (base 15) in base 16?\nAnswer: a40e5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -42780 and -41?\nAnswer: 42739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 426, 791, 1108, 1383, 1622, 1831, 2016?\n\"Answer: t**3 - 30*t**2 + 448*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 - 4*y**2 + 408 - 406 + 13*y**2.\nAnswer: 13*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l**2 + 23*l**2 + 8*l**2 + 15*l**2.\nAnswer: 34*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -21864930\nAnswer: -1\/3644155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (12\/42)\/((-6)\/3)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*p + 59*p + 4324. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**4 - 7 - 13*f**2 + 13*f**2 with respect to f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**4 + 700037*o**3 - 108*o**2 + 16*o + 937 wrt o?\nAnswer: -72*o + 4200222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 8. Let p = -51.5 + 51. Which is the nearest to 0? (a) t (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f - 14*w - 8*w + 17*w = 42*f + 161, -f = -2*w - 64 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843 is divided by 233.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8583 a factor of 1421971359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**3 - 9*y**2 + 12*y + 6. Let t(h) = -7*h**3 + 17*h**2 - 20*h - 12. Let j(q) = -5*k(q) - 3*t(q). Let g = 12 + -6. Let b be j(g). Is 9 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -20. Sort -2, 3, d in ascending order.\nAnswer: -2, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-24))\/((-24)\/36).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 18\/5 of a minute?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539)*-1*5*4 - (2*(sqrt(304)*2 + sqrt(190)\/(sqrt(10) + sqrt(160) + sqrt(10))))**2.\nAnswer: -45619\/9 - 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*k = -84. Let r be ((-60)\/(-50))\/((-3)\/(-20)). Let p(t) = -1 + 12*t + t**2 + r*t - k*t. Give p(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9290 by 2.\nAnswer: 4645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -828 - -814. What is the nearest to 2 in -0.5, 1\/2, -2, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*j. Suppose 0 = -4*h - j*h + 64. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110010100 + 100000011010?\nAnswer: 10000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2665*a**2 + 1350*a**2 - 576*a**2.\nAnswer: 3439*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*h + 5*h. Let p = 94\/17 + -37\/102. What is the common denominator of h and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -2*n - 2 - 3\/2*n**2. Let b(j) = -4*j - 3. Let s(q) = -q - 7. Let i be s(-4). What is i*v(o) + 2*b(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -3. Let q = w - -3. Sort 2\/3, q, 3 in ascending order.\nAnswer: q, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*z + 132 = 130*z. Calculate the remainder when 193 is divided by z.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/64458479?\nAnswer: -3\/64458479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 512 divide 67798528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2, 1, 9.\nAnswer: -0.2, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b461b3 + -73?\nAnswer: b46140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*n, -5*v = -v - 3*n - 14. Let a = 7 - 4. Suppose v*y - 10 = a*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 0*z**4 + 0*z + 1\/42*z**7 - 1\/60*z**6 - 52 + z**2 + 0*z**3 + 0*z**5. Factor v(w).\nAnswer: w**3*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11\/18 + -1\/18. Let r = -27 + 28. Which is the closest to r? (a) 2\/17 (b) 2\/9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214878186.\nAnswer: 2, 3, 2699, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 126835, -2, -11 in descending order.\nAnswer: 126835, 2, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -5, 5 in increasing order.\nAnswer: -41, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + -34. Which is smaller: o or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5724 - -5730. Solve -l - l + 4*t + d = 0, -9 = -l - 4*t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = v + 15432*j - 15426*j, -4*v + 5*j + 11 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (4 + (-3 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**4\/11 + 3751102*r**3\/11 + 1875550*r**2\/11 = 0 for r.\nAnswer: -937775, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 i, 1 b, and 1 o when four letters picked without replacement from {i: 2, b: 2, p: 5, o: 4, s: 7}.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -10, 11, 1 in increasing order.\nAnswer: -10, 1, 11, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52169 - -73959. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 495 - 250 - 242 + 2*n**2.\nAnswer: 2*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*g + 373 = 411, 5*t - 104 = -4*g. What is the greatest common factor of 65 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5*z + 140, 0 = -2*s - 5*z + 30 + 60. Let c = 1392 - 1367. What is the highest common divisor of c and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2089, 2172, 2253, 2332, 2409, 2484?\n\"Answer: -c**2 + 86*c + 2004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**6\/120 - 7*x**5\/60 - 7*x**4\/24 - 2*x**3\/3 + 2*x**2. Calculate the remainder when 2 is divided by v(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - s = 0, -4*s + 22 = 3*z - 13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.1284?\nAnswer: 0.3852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**5\/2 + 5*y**3\/3 + 6*y. Find the second derivative of d(q) wrt q.\nAnswer: 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5731 is divided by 179.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 3:37 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3626463 + 36?\nAnswer: 3626510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10103 + 1?\nAnswer: 10104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 27. Suppose -p*s = s + 3*b - 38, 2*s - 18 = -4*b. What is the least common multiple of s and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 - -2)\/((-5)\/(-3) + 83\/249)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p - 15 = 0. Let t be ((-24)\/(-10))\/(9\/150). Suppose -p*r + j - 5*j + 50 = 0, -4*r + t = 3*j. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -11*x - 57. Determine g(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 3:10 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 3*v**2 + 2. Let q be l(3). Let k = 6 - q. Is 14 a factor of (252\/(-8))\/((-3)\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 12:35 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2004443 (base 5) to base 16\nAnswer: -7c81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 3*q + 2*m, -3*q - 5*m = -4*q + 35. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1903 and 102188678?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62 - -44?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -348*q - 4526. Let g be x(-13). Let m(h) = -2*h**2 - 13*h - 30. What is m(g)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -3.85. Let s = 0.05 - t. Put s, 2\/7, -2\/3 in descending order.\nAnswer: 2\/7, s, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -104 + 148. Suppose 54 = 3*j + 3*x, 6*x - x - g = -3*j. Suppose 0 = 3*d - 2*o - j, d - 3*d = 3*o - 24. Solve 5*v - 2*v = d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1819112766?\nAnswer: 2, 3, 1531, 198031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14 - (1 - (6 - 2)). Let x = -17 + y. Suppose 6*r - 2*r - 12 = 0. Solve r*u + x*u = 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/((sqrt(7) - (4*-3*sqrt(7) - sqrt(7))) + sqrt(7)))\/((sqrt(60)*-1)\/sqrt(12)*2))**2.\nAnswer: 1\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(3) + -1)*1)**2 + 3.\nAnswer: 4*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 93213 rounded to the nearest one hundred?\nAnswer: 93200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1371187.\nAnswer: 1371187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 4698 = 2*p - 4718, -21*p + 96 = -3*z - 114 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26, -29, 1\/8, 0.07, 12, -1?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 9*m**3 - 9*m**2 - 2*m. Let p(v) = -49077*v**3 - v + 0*v + 0*v**2 - 4*v**2 + 49081*v**3. Calculate 2*c(g) - 5*p(g).\nAnswer: -2*g**3 + 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v**4 - 28235*v**3 - 798145*v**2 - 132240*v = 0. Calculate v.\nAnswer: -912, -29, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2907, 0.18, 19\/4, -2\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -38*y**3 + 212*y**2 - 120*y + 21. Give p(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 154?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61771 is divided by 4237?\nAnswer: 2453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 a factor of 23072398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -20. Let l = -0.39 + 0.29. Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.404 * -0.112.\nAnswer: -0.045248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 206 in decreasing order.\nAnswer: 206, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 17 - 32 - 24)*(0*d + 5*d + 2*d) to u + n*d and give n.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49893*k = 47166*k + 299970 for k.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(((-4)\/10)\/((-9)\/45))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**3 - 11*z**2 + z - 5. Let c = 10 - 14. Let a(w) = w**3 + w**2 + w. Let p(s) = c*a(s) - k(s). Let g = 40 - 34. What is p(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/56*(35\/(-180))\/(-1).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832\/(-936) - (-494860)\/45?\nAnswer: 2, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/30)\/(50*76\/(-19000)))\/((-55)\/(-3))?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wss when three letters picked without replacement from {b: 8, c: 2, w: 1, s: 2, u: 5}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from wrrlqwxqqrxxl.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 k, and 1 x when three letters picked without replacement from {o: 1, x: 2, k: 2, g: 1, y: 1, r: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 + (-74)\/(-9))\/(-1) - 136\/36. What is the nearest to 31\/3 in y, 0, -3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1093067300 to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 413, 5, -2, -5 in decreasing order.\nAnswer: 413, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/19 (b) -2\/5 (c) 8\/21 (d) 2\/7 (e) 1.7 (f) 757\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**3*g**2 - 4*a**3*g - 94*a**3 - 5838459*a**2*g**2 - 2*a*g**2 + 4624*a*g - a wrt g?\nAnswer: -4*a**3 - 11676918*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 558442 to the power of 1\/2, to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c - 105*c**2 + 3 + 106*c**2 - 2*c to the form u + f*c**2 + l*c and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 7 = -18, -2*x + 3*o = -7985. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -198.3 + 198.4. What is the third smallest value in w, 289, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60680 divided by 370\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20853888 from 284.\nAnswer: 20854172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149 + -508. Let n = -359.4 - d. Put 23, 0, n in decreasing order.\nAnswer: 23, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 7*o**2 + 9*o - 10. Let u be p(8). Let b be (-11)\/(-2) - (-3)\/u. Solve -2*z = 2*z + b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -495725, 1\/156, 0.1, -0.2?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 20 (c) 4\/5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2616256*a**3 + 8496168 with respect to a.\nAnswer: 7848768*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**2 + 164*t - 165 = 0.\nAnswer: -165, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**5\/20 - t**3\/2 + t**2 - t - 3. Let a(q) be the first derivative of d(q). Let a(z) = 0. What is z?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 + 57. Let h be (6 - c)*7 - -7. Solve 3*i + 0*i - 15 = h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3851, -3852, -3853, -3854, -3855?\n\"Answer: -o - 3850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -31*d + 7. What is a(1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 68*h + 851. Calculate l(-27).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7017 is divided by 531?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 5 - 27*c + 1 - 6 - 19 + 8.\nAnswer: -27*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmcmcc. What is prob of picking 1 m and 3 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5610926ug in tonnes?\nAnswer: 0.0000000000005610926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**9)**(1\/7))**(3\/16) assuming x is positive.\nAnswer: x**(27\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/r**(-2\/111)*r*(r**(2\/61)\/r*r)\/r assuming r is positive.\nAnswer: r**(13886\/6771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 131784 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -11422900 to the nearest 100000.\nAnswer: -11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98 - -105. Let q(z) = z**3 - 3*z**2 - 4*z - 7. Let j be q(6). What is the highest common divisor of j and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - ((-2 - -5) + -2 + 6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6180429 rounded to two decimal places?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30858979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 233276 by 58319.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 641 = 79. Let q be 136\/7 - (-40)\/70. What is the greatest common divisor of q and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 124821197772?\nAnswer: 124821197772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-60)\/(-10))\/18)\/(1\/(-39))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 34800?\nAnswer: 34800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 1. Let i(r) = 3*r**3 + 94 - 90 - 6*r**3 - r. What is -5*c(d) - i(d)?\nAnswer: -2*d**3 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2178?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1330 and 6?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k, -a + 4*k = 6 - 0. What is the tens digit of -22*((-3)\/a + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 3) to base 10\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -73, -235, -491, -835, -1261, -1763?\n\"Answer: n**3 - 53*n**2 - 10*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 290 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 6, -2*v + 18 = 3*h - 0*v. Let w = -29.6 + 27. Let j = w - 0.4. Is h at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 2*c - 14, -o - 38 + 61 = -3*c for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8530.01mg?\nAnswer: 8530010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {m: 6, h: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55 + 74 - 124) + (-2 - -89).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227945 divided by -1005.\nAnswer: -45589\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 4. Let v(t) = 11*t**2 + 21*t + 7. Let l(b) = -5*b**2 - 10*b - 3. Let p(h) = -13*l(h) - 6*v(h). Let y be p(3). Give x(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*h*y**2 + 679*h*y - 37*h - y**2 - 30*y + 3886895 wrt y.\nAnswer: -48*h*y + 679*h - 2*y - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**4\/12 - 687*z. Let l(y) = -20*y**2 + 2*y. Let o(v) = -21*v**2 + 3*v - 1. Let m(c) = -3*l(c) + 2*o(c). Determine s(m(g)).\nAnswer: 324*g**4 - 72*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - 1110110100101110?\nAnswer: -1110110100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**3 - 19*o**3 + 14*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 15 - (-3 - -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -40 + 21 - 15*f + 19. Let r(u) = u**2 + 5. Let b be r(0). Let w(i) = i**2 - 8*i + 2. Let o be w(b). Let s(m) = 7*m. What is o*s(j) - 6*t(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdhabhfxx. Give prob of picking 1 d and 1 f.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 30.01454us?\nAnswer: 0.03001454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 572 = -68*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*3*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*0.0291555\nAnswer: 0.002623995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**3 - u**2 - u. Let o(a) = -a**2 + 15*a - 19. Let n be o(13). Let i = n + -8. Calculate m(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 891078942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244682 = -556*a - 931*a - 1116*a for a.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*b + 5*v, 28 = 4*b - v + 5*v. Let d(j) = j**2 - 6*j + 2. Calculate d(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3430*q - 3363*q + 1279 - 201 = 8716 for q.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 + 69 = 15*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1518*f - 15. Let z be x(-1). Suppose g - 1900 = z. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 z when three letters picked without replacement from fffffhfzzzkfff.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 106 - 409683?\nAnswer: -40957a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 2078.9215.\nAnswer: -415.7843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 171 - 16?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4*n - 24, 4*n + 0 = 4. Suppose -f = h + 2. Find the common denominator of ((-4)\/(-24))\/(h\/291) and -42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*j = -39*j - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93 and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**2 - 14*n**3 - 2*n**2 - 5*n**2.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -5\/6*r**3 + 0 + 0*r - 3\/20*r**5 - 1\/120*r**6 - 1\/12*r**4 + 12*r**2. What is the tens digit of w(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-3)\/(-6) + 0 + 1). Suppose 0 = q*y + 5*y - 679. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19950 - 100273\/5. Let b = y - -105. Put b, -2\/9, -0.01 in decreasing order.\nAnswer: b, -0.01, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**5 - 110*x**4 - 884*x**3 + 79448*x**2 - 486480*x - 1296000 = 0?\nAnswer: -27, -2, 10, 24, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/7 (b) 0.3 (c) 730 (d) -106 (e) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 139429 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 12:22 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaga when four letters picked without replacement from aeaaeaqegaeaqyaaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 4*t**2 + 21*t - 4. Let a be m(-7). Let k be 0\/((-1)\/a*4). Solve k = o + 2*o + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(5))**2*1 - (sqrt(175) + 4).\nAnswer: -5*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10947 - 10152. Calculate the lowest common multiple of 18 and i.\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, -4, -14, -28, -46, -68?\n\"Answer: -2*b**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.31.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -25, -4*s = -2*j - 2*j - 36. Suppose -5*q - 3*m = -493, -q + 4*q = 3*m + 291. Calculate the highest common factor of s and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1160 + -1195 + 56 + 0\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 15*r = -24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 98. Let p be r + 3 + -2 + -4. Find the first derivative of -46*o**2 - 6 + p*o**2 + 2*o**4 wrt o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.968? (a) 1 (b) -5 (c) 1\/2 (d) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -45, -55, -71?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 + 25*z**3 - 5*z**2 - 13*z**3.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 8:26 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 116100 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (-5 + 15)) + (-5 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 5:44 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x**3 - 19*x**2 - 9*x + 25. Suppose 9*y = 6*y - 21. Let c(r) = -3*r**3 + 6*r**2 + 3*r - 8. Let v(d) = y*c(d) - 2*w(d). Give v(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6584*h - 6585*h + 87, -z = -2*h - 56. Calculate the remainder when 2142 is divided by z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/224032 and 31\/508?\nAnswer: 28452064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3331032 decades?\nAnswer: 39.972384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30912 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2a3b (base 16) to base 11\nAnswer: -8139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*o**3*s**2 + 34*o**3*s + 3*o**3 - 57*o**2*s**2 + 36*s**2 wrt o?\nAnswer: -72*s**2 + 204*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 12:40 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180164 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 48*x**2 - 53*x**3 + 55*x**3 + 35.\nAnswer: 2*x**3 - 48*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155927 and 241.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.1. Which is the third biggest value? (a) -1\/5 (b) m (c) -3\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 9:50 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/27 + 94\/18. Suppose g - 6 - n = 0. What is the smallest common multiple of g and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-2))\/5*12. Let u = p - 6. Let g be -1 + 105\/33 + -2. Which is smaller: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/1360*(2 + -1)\/(9\/5)?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 3*y**2 + 3*y**2)*((3 - 5 + 4)*(-10 + 0 + 1) - 6 - 11 + 4)*(0*y + 6*y - 4*y).\nAnswer: -62*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = -2*c + 5, 2*c - 10 = f. Calculate the remainder when 8 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - k = -2*a + 6414, 0 = -2*a - 3*k + 6414. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4490 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22031237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 270 = 4*i + 254, 0 = r + 2*i - 1 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664*b - 2 + 2953*b - 85*b.\nAnswer: 3532*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 - 13*b + 9. Give w(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -2948, -7\/6, 1\/10?\nAnswer: -2948","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*t + 6, 3*t - 4*m = 5 + 4. Let p = t - 0. Let q = -292 - -874\/3. Which is bigger: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**3 - 4*a**2 - 4*a - 2. Let f be b(-2). Let y(j) = 10*j - 58. Let p be y(6). Let q = f + p. Calculate the remainder when 30 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 57, 67 in ascending order.\nAnswer: -5, 57, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 557750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 51, 31, 9, -15, -41?\n\"Answer: -g**2 - 17*g + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m - 10130 - 1047 - 919 = 0. What is the lowest common multiple of m and 216?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 423, 425, 425, 423, 419?\n\"Answer: -b**2 + 5*b + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 164283 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 5*d**2 + 10*d - 11. What is the remainder when 38 is divided by j(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 5 - 3 + 5 - 1 - 2 + (3 - 4 + 0)*(-3 + 1 + 3) - 6 + 4 + 0)*(-3*b**2 - b**2 + b**2) in the form x + v*b**2 + r*b and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6)*d**(-4\/9)*d*d\/(d*d**(-2))*d**0*(d*d*d*d**(-4\/5)*d*d*d**(-2\/11)*d)**4 assuming d is positive.\nAnswer: d**(8231\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.676228l?\nAnswer: 2676.228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1267 (base 10) to base 4.\nAnswer: -103303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-6))\/(3\/6). Let t(q) = -6*q**2 + 6*q - 3. Let p(i) = i**2 - i + 1. Let u(v) = m*t(v) + 3*p(v). Find the second derivative of u(g) wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y - 2 = 4*w, 0 = -3*y + 2*w - 26. Let s = -4 - y. Suppose c + 4 = k + 3*c, -5*k - s*c + 52 = 0. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 35, 32, 17, -16, -73, -160, -283, -448?\n\"Answer: -a**3 + 4*a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 8:50 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*q - 2, 3*t - t = -3*q + 7. Suppose -t*j = -11*j. Which is the closest to -3? (a) j (b) 2\/9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7264.3 in 5, -19, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-15)*((-175)\/(-10))\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*g = 4*r - 11, -12 = 4*g. Let i = 15 - r. Determine m, given that 7*m**2 + m**2 + 6*m + 2*m**i - 5*m**3 - 11*m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101\/744 or 1?\nAnswer: -101\/744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -6 + (-2 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 10 - 0. Suppose 16 = 2*w - v. What is the least common multiple of 1 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -54*k + 53*k + 1, 4*k - 1 = -5*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 0 - 18*p - 2*p**3 - 1\/12*p**4 - p**2. Calculate s(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/136 and -41\/776.\nAnswer: 13192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1435 - 2018. Let u = g + 585. Solve 36 = -5*s - 2*r - u*r, r = 4*s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -953 by 18.\nAnswer: -953\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.29 and 94.008?\nAnswer: -27.26232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357487 bigger than 1357573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) -1\/4 (c) -12677 (d) 3 (e) 1\/3 (f) -3 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p + 2*p - 5*p + (-5287 + 1869 - 1615)*(-5*p + 0*p + 3*p) to u*p + g and give u.\nAnswer: 10067","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11551866.3963 minus -0.61?\nAnswer: -11551865.7863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1357 and 6141?\nAnswer: 362319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 119974246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2404829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1741 + 1761. Solve -c - 5*s = 17 + 3, -c + 5*s + b = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4319562*o - 2159795*o - 2159764*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0, -818?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1d12155 (base 14) to base 16\nAnswer: -de402f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**2\/2 - 98*f - 5. Let x(j) be the first derivative of j**2\/2 + j - 2. What is w(p) - x(p)?\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 - 5. Let p be z(0). Let u = p - -2. Let c be -3*(u - -2)*1. Solve 4*t = 5*h - 29, -2*t - 4 + 17 = c*h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 - -424354364972.\nAnswer: 424354364972.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/8)\/(8\/240) and 103\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252366 divided by 6?\nAnswer: 42061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8727575399 - 145.\nAnswer: -145.8727575399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10589940.4 - 0.015?\nAnswer: -10589940.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**3 + 3*a**3 + 3*a**3 - 3*a**3 + 5*a**3 + 0*a**3 + (a + a - a)*(-4*a + 4*a + a**2) + a**3 + 0*a + 0*a - a**3 - 18*a + 18*a)*(-20*a - 449*a + 56*a).\nAnswer: -2065*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.26, 1, 0.01, 4, -2\/119.\nAnswer: -2\/119, 0.01, 0.26, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + f**2 + f - 3*f)*(967*f - 120*f - 88286*f**2 + 88284*f**2).\nAnswer: 2*f**4 - 843*f**3 - 1694*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - t**2 - t - 1. Let l be j(3). What is the tens digit of 4124\/l + 2 + 100\/(-175)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*o**2 + 72084 - 72266 + 2*o**2 in the form r + p*o + c*o**2 and give r.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -5, -1\/5, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 y when four letters picked without replacement from wyuywyuywww?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160 - 88. Suppose -2*r - f = -6*r. Round r to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 7*w**4\/2 + 11*w**3\/3 + 5*w**2 + 992. Let c(i) = 3*i**3 + 2*i**2 + 2*i. Determine -11*c(n) + 2*z(n).\nAnswer: -5*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 2. What is r(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-8)\/(-20))*2. Suppose 3*o - m*y + 23 = 2*o, 3*y = -3*o + 21. Solve 0 = t - 3*t - 4*d + 24, -o*d = -2*t - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 3:03 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - g - 31, -10*g = b - 5*g - 21. Factor -b + 15*r - 12*r - 39 - 38*r - 5*r**2.\nAnswer: -5*(r + 2)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 10*x**2 + 19*x - 76. What is o(-12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.793501 or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p**5 + 4*p**4 - p**3 + 4*p**2 - p - 2. Let o(d) = 9*d**5 + 6*d**4 - 3*d**3 + 8*d**2 - d - 4. Let h(j) = -10*m(j) + 6*o(j). Factor h(x).\nAnswer: 4*(x - 1)**3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*s + 93*s - 95*s.\nAnswer: 163*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(18) + 2 + sqrt(98)*-1*3)**2.\nAnswer: -144*sqrt(2) + 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2. Let a(x) = -4*x - 8 + 0 + 8. Let r(m) = -7*m. Let o(c) = -11*a(c) + 6*r(c). Calculate l(o(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1969 + -36181\/18. Let h = m - -406\/9. What is the common denominator of 43\/22 and h?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298397659?\nAnswer: 7, 42628237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1967, -7866, -17703, -31478?\nAnswer: -49191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 - 62. Suppose 54 = h*x + 14. Suppose p + x*n = n + 6, -3*n + 81 = 5*p. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (486\/(-864))\/(1*12\/16).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 11909264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3470 = -430*t + 405*t + 10505. What is the highest common divisor of t and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31098\/65 or 478?\nAnswer: 31098\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**1)\/b)**(-10\/9)\/((b*b**(2\/3))\/b)**4)\/((b*(b\/b**4*b)\/b)\/b**(-2\/11))**(-22) assuming b is positive.\nAnswer: b**(-394\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 329 and 2585?\nAnswer: 18095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -1\/9128205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -809, -3222, -7243, -12872?\nAnswer: -20109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 52 + 100 = 0. Let o(x) = -4*x + 6. Calculate o(b).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 350803?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/7 + 4520*i\/7 - 561208\/7.\nAnswer: 2*(i - 118)*(i + 2378)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 58256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*n + 520 = 836 + 1324 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 - 34*j. Let w be v(-17). Suppose -11*a = -0 - 22. Let l(i) = -i**3 - i**a + 3 - 2*i + 13*i - 10*i. What is l(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4455428 + 4330676753\/972. Let u = -2\/243 + g. Let f = -3 + 3.5. What is the second smallest value in f, u, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/94449 (b) 4 (c) 0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184782104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, y: 3, t: 4, l: 4, v: 1}. Give prob of picking 1 y and 1 f.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 177716 and 644.\nAnswer: 4087468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 + 729142054*x - 729142054*x.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9131 - -9172. Solve w = 22*h + 19 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (1\/((-3)\/(-36)*10))\/((-72)\/(-323160))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3756879 and 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -40*r**2 + 25*r - 12. Let h(j) = -197*j**2 + 121*j - 58. Let p(c) = 6*h(c) - 29*l(c). Let a(o) = 15*o - 41*o + 20*o. Give a(p(i)).\nAnswer: 132*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 579655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:13 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/((-1)\/(100\/8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x**2 + 25 - 127 + 15 + 87.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3492?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**3 - 3. Suppose -22*l + 64 = -20*l. Let b(t) = 27*t + 0 - 2 + 2 - l*t. Give n(b(r)).\nAnswer: 75*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.8089761 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, l: 1, p: 1, z: 4, y: 2, j: 1}. What is prob of sequence zpl?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d. Let h(n) = -3*n**2 - n + 4. Let f be h(-2). Let y be (-4)\/(-18) + -1148*f\/108. Let v(q) = -y*q - 12*q + 5*q. Give v(c(r)).\nAnswer: 142*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -44, -103, -186, -293?\n\"Answer: -12*s**2 + s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211808.\nAnswer: 2, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 343798, 687593, 1031388, 1375183, 1718978?\n\"Answer: 343795*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 42089*z + 580 = 42060*z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -0.03 (b) -0.181 (c) -5 (d) 468\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4027590945?\nAnswer: 3, 5, 7, 1420667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 67.00254mm?\nAnswer: 67002.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 22122?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*k - 12 = -109*k - 3*n + 20, 0 = -2*k - 3*n - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73.79456l?\nAnswer: 73794.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9830.529 nanometers in micrometers?\nAnswer: 9.830529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.184829204263 and -11.2.\nAnswer: -11.384829204263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*2*-1 - sqrt(204))\/(1*sqrt(768) + sqrt(768)).\nAnswer: -3*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 850?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -221\/6. Which is greater: -1\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3374, -3623, -1\/2 in descending order.\nAnswer: -1\/2, -3374, -3623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 88 + 12. Let p be (-1*(-2)\/3)\/(y\/45). Solve 0 = -4*i - p*j + 7 + 1, -8 = -2*j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 159, -3 in decreasing order.\nAnswer: 159, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -663*y. Let n(q) = -1983*q. Determine -2*n(z) + 7*r(z).\nAnswer: -675*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/104, -1\/5, -0.6, 3\/4.\nAnswer: -0.6, -1\/5, -7\/104, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 292*o**5*q - 79218*o**5 - 169*o**2*q + 12*o**2 - 5*o*q - 32*o - 2*q - 2 wrt o.\nAnswer: 17520*o**2*q - 4753080*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4730 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -4)\/(-1) - -1. Let a(p) = -p**3 - 3*p**2 + 3. Let d be a(-3). Suppose -d = -2*i + 17. Solve n + 4*g = i, 0*g + 16 = -5*n + z*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l = 4*y + 102, 0 = 5*l + y + 187. Let k(r) = r**3 + r**2 - r - 1. Let x be k(4). Let a = l + x. Is a 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 613019055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*2 + -2 + -4*sqrt(5))**2.\nAnswer: -32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**4 - 1594150*v**3 + 127067305265*v**2 - 254129828100*v + 127064116980 = 0.\nAnswer: 1, 159414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 750 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.033 - 0.033. Let f = -4.92 + -0.08. Let b = y + f. What is the third biggest value in -4, 2\/9, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-2 + (-5 - -6) + -1 + -2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p - 122 = -4*z, 2*z = -5*p + 126. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 322 - -1121?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 2:05 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15753 is divided by 202.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3) + 3 + sqrt(3) + -1*sqrt(12)\/sqrt(4))**2.\nAnswer: 6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 21962082 in increasing order.\nAnswer: -4, 3, 21962082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/a**(-27)*a*a)*a)**(-22\/7)*(a**0*a*a)\/a**26 assuming a is positive.\nAnswer: a**(426\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -66.724*0.4\nAnswer: -26.6896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 2ab3c3?\nAnswer: -2ab3c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43879 or -43770?\nAnswer: -43770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/6 and 47\/97?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42452104193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 970, 1914, 2858, 3802, 4746, 5690?\n\"Answer: 944*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 3, -0.5, -1, 0, -22652 in ascending order.\nAnswer: -22652, -1, -0.5, 0, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.713 and -6?\nAnswer: 4.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 20 = 0, -2*k - 2097 = -7*k - 2*g. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3 + 7. Suppose j*l = -0*l. What is the second derivative of 2*b + l + b**4 + 0 wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+323201\nAnswer: 323201.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40594.6 and -1264.\nAnswer: -41858.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z - 10. Let u be ((-60)\/88 + (-6)\/(-33))*4. Let q be x(u). Solve -v + 0*l = -q*l + 8, v = 2*l - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-1 + (-39)\/(-36)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of y**5 - 7*y**4 + 52*y**2 - 317*y wrt y?\nAnswer: 20*y**3 - 84*y**2 + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 10:47 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-27)\/135) + 36\/50?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6309 = 124*q - 23669. What is the remainder when 1683 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*f**3\/5 + 39994*f**2\/5 - 28577136*f\/5 + 4078368.\nAnswer: -2*(f - 1428)**2*(7*f - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, v: 3, z: 12}. Give prob of picking 1 v, 1 z, and 2 r.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.1 (b) -2\/15 (c) 0.5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 36 + 35 + 20 - 20 - m**2.\nAnswer: -m**2 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**2*s**3*t + 2*j**2*s*t + 2*j*n**2*s**2*t - j*n**2*t + 6*j*n*s**3*t - 9*n**2*s**3 - 4*n**2*s**2 - 3*s*t wrt s?\nAnswer: 24*j**2*t + 36*j*n*t - 54*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 322, -13, 1.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-408)\/(-187))\/((-4)\/(-22)). Solve -9 + k = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**5 - 20*c**4 - 32*c**3 + 4*c**2 + 34*c + 16.\nAnswer: -2*(c - 1)*(c + 1)**3*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 180, 250, 304, 336, 340, 310?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 - 6*t**3 + 2*t**3 - 2*t**3 - 2*t**3 + 5*t**3 + (6*t**2 + 0*t**2 - 5*t**2)*(-2*t + 0*t + 4*t) + 3 - t**3 - 3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4*t + 487 = -0*q + 507, t - 28 = -5*q + 4*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**2 + g**3 - 4 + 0*g + g - 7*g. Let r be p(-6). Let m = -4 - -6. Put m, r, -3 in ascending order.\nAnswer: r, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*a - 25*a = 28*a + 252 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*a - 6*a. Let s(g) = -g**2 + 5*g + 4. Let j be s(5). Suppose c + a = j*q, 1 - 3 = -3*c - 2*q. Is c less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8197489841?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6694 - -6694. Solve x = -16*p + 61 + 35 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -172 - -172.355. Let m = j + -0.354489. Round m to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4495195+-20772\nAnswer: 4474423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991 is divided by 199.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Suppose -z*f - f = -72. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 576\/90 + -1 + (-1)\/2 and 8\/20 + 166\/260.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 58*n + 1010. Calculate h(20).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a + 37. Let p be t(-5). Calculate the common denominator of 3 - 186\/16 - 0\/p and 65\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(153))*5)**2 - (3 + sqrt(153) + -2)) + (-5 + 1*sqrt(2057) - 1*sqrt(425)*1)**2.\nAnswer: -513*sqrt(17) + 4686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2331.8142411 to two decimal places.\nAnswer: 2331.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 4 (c) 12 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**6*h**(-4))\/(h**1)**(-23) assuming h is positive.\nAnswer: h**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -73, -84, -67, -16?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 5810958.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 4*q**2 + 6*q + 5. Let o be l(6). Let v = o - 211. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, i: 6}. Give prob of picking 4 i.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2481.351 months?\nAnswer: 0.20677925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5342?\nAnswer: 2, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1101111000100011101110011?\nAnswer: -1101111000100011101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/216 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119744.\nAnswer: 2, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 16. Let n = -5 - x. Suppose n = 5*u - 25, -3*o - 2*o = -3*u - 120. Solve -4*h + 2*r - 29 = -1, 3*h + o = 3*r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000232433 rounded to six dps?\nAnswer: 0.000232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 10:59 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111 (base 2) in base 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 84.88289 centimeters?\nAnswer: 848828900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -107 - -107.014. Is 2 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*2\/(-4)*-1 + 16. Let q(l) = -5*l**2 + 2 - 16*l + 13 + 6*l**2. Let p be q(f). Solve -2*j + p*j + 8 = 0, 3*j = -2*a + 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-99) - 2\/11)\/(326\/8313).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2996, 2979, 2960, 2939, 2916, 2891?\n\"Answer: -l**2 - 14*l + 3011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -57*w + 2416. Give p(1).\nAnswer: 2359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1709, 4, -15, 5 in decreasing order.\nAnswer: 5, 4, -15, -1709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-39)\/26)\/(9\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p = -11*p - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 2227828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.109257l to millilitres.\nAnswer: 5109.257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/32396 in 0.4, 1, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -15, -84, -223, -456, -807, -1300?\nAnswer: -1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9558 + -9522 + (-1 - 0) + -8\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52950545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + y - 1. Let p(w) = -2*w**2 + 6*w - 2. Give -3*j(a) + p(a).\nAnswer: a**2 + 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -7, -25, 3001 in ascending order.\nAnswer: -55, -25, -7, 3001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(-1*sqrt(243) + -2) - (2 + (sqrt(3) + 1 + -5 - 2*sqrt(192))**2)).\nAnswer: -705 - 156*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 31\/2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, l: 2, o: 1, e: 1, g: 1, c: 1}. Give prob of sequence og.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9612, -19266, -35356, -57882, -86844, -122242, -164076?\n\"Answer: -3218*t**2 - 6394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-90)\/120)*(-5 + -71)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, w: 3}. Give prob of picking 2 a.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + 823a9?\nAnswer: 823b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 723090 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.8. Let l = 154.387 + -10.817. Let r = l - 143.5. What is the second smallest value in -4, r, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 44*h**2 + 19*h - 17. What is the remainder when q(1) is divided by 33?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*j - 12884 = 1445 + 2723 for j.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 13*r**2 - 106*r + 484. Let t(z) = -6*z**2 + 52*z - 242. Let f(u) = -4*i(u) - 9*t(u). Determine n so that f(n) = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p = 13*p + 401205. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 171 - 169 = -96 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 5*v**4\/6 - 3*v**3\/2 + 25*v**2. What are the prime factors of t(10)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 15*i**2 - i + 1. Calculate the remainder when ((-7)\/2 - -5)\/((-2)\/(-36)) is divided by l(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13217801 + 13217801 - 2576*w**2 to i + p*w + k*w**2 and give k.\nAnswer: -2576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3263435657.\nAnswer: 3263435657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2272 + 3977. Suppose 0 = -o*h + 1708*h - 6. Solve -h*c + 16 = 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -39 + 15. Let o(z) = -8 + 7 + 6*z**2 - 2*z + 0*z**2. Calculate o(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, x: 9}. Give prob of picking 1 e and 3 x.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 626105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 6:23 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159887826?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/21 (b) -1 (c) -1\/11 (d) 33 (e) 297\/2 (f) 6\/5 (g) 2\/11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15284306?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -229047.8196+5\nAnswer: -229042.8196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 174 - -26277361783\nAnswer: 26277361957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 120, 151, 180, 207?\n\"Answer: -a**2 + 34*a + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 218779307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 3*s**4\/8 + 31*s**2. Let b(u) = u**2. Give b(r(z)).\nAnswer: 81*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -8*u - 60. Let s be q(-7). Let i = 12 - 4. Which is the second biggest value? (a) s (b) i (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**4 - 2*m*w**2 - 1397184*m + 2932840*w**2 wrt m.\nAnswer: -4*m**3 - 2*w**2 - 1397184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61968443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - 5 - -2 - ((18 - 19) + -3 + -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 847 - 4233\/5. Sort -4, -0.08, l, -2\/7 in ascending order.\nAnswer: -4, -2\/7, -0.08, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 28 = -12. Let s = r - 37. What is the units digit of (-2)\/10 + s\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/245*7*(-28)\/(-88)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 45*32\/4. Let n = -40 - u. Is n a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 + 74. Let o(c) = -10*c**3 + 3*c**2 + 8*c - 6. Let s(k) = 7*k**3 - 2*k**2 - 5*k + 4. Let x(f) = -5*o(f) - 7*s(f). Calculate x(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + -0.2. Let o be (66\/30 + -5)*10\/(-4). Suppose 44 = -4*u - o*u. Which is the second biggest value? (a) -8 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 11*t**2 - t + 12. Let l(o) = o**3 + 84*o**2 + 86*o + 260. Let q be l(-83). Give z(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -715 - -509. Let t = v + 206. Solve -u + 4*c + 20 = 3*u, t = 2*u + c - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*x - 321*x + 4*k + 68 = 0, 16 = -4*k for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 19137*z + 0*z**2 - 19110*z + z**2 + 73. Let t be n(-23). Is -15 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from vvvvvnvbkvvvllvvv?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48141 and 972.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 922 a factor of 922922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**30*u)*(((u*u\/u**(-1\/8))\/u)\/u)\/u*u**2\/u**(-2\/3) assuming u is positive.\nAnswer: u**(-701\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + h - 13 = 0, t + 3*h + 18 = 5*h. What is the second smallest value in -0.1, -4\/3, t?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*k - 53*i = -50*i + 113, 0*k + i + 16 + 3 = -0*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50 + 5681*b**3 - 3440*b - 24565*b**5 + 354*b**3 - 9442*b**2 - 337 + 31790*b**4 - 58*b**2 - 33.\nAnswer: -5*(b - 1)**2*(17*b + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r**2 - 4*r - 5. Suppose -36 = -3*p + 5*v, p + 5 = -8*v + 4*v. Let o(g) = -11*g**2 - 7*g - 9. Calculate p*u(a) - 4*o(a).\nAnswer: 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-276*c + 149*c - 296*c)*(1 - 3 + 3) to the form f + y*c and give y.\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/2205*-6*(-10 - 0).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by (-11)\/(616\/63)*(-16)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 70?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4220 - 2049. What are the prime factors of q?\nAnswer: 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14854 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60971651 to the power of 1\/2, to the nearest integer?\nAnswer: 7808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 5*b + 3. Let z be x(-5). Suppose -z*p + 20 = -2*y, 7 + 8 = 2*p - y. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 4 = -b, 0 = 7*b - 3*b + 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -83 times -0.29228\nAnswer: 24.25924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzxccf. Give prob of sequence fz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 5*l - 30, -3*l = c + 13 + 1. Let s(q) = -4*q + 2 - 5*q + 4*q + 4*q**2 + 0. Let g be s(2). Calculate the highest common divisor of c and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51104 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/7, 3, 37635?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23807c3c - -4?\nAnswer: -23807c38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*n - 2493, -n - v + 365 + 880 = 0. What are the prime factors of n?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x\/(x\/(x*((((x\/(x*x\/((x\/(x\/(x*x**(2\/3))))\/x)*x))\/x)\/x)\/x)\/x))*x*x)\/x)**22)**(-2\/31))**8 assuming x is positive.\nAnswer: x**(2464\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 49*d - 5. Let z(r) = r + 6. Let s(p) = -h(p) - z(p). Suppose -4*i - 16 = 0, 0 = 5*o + 8*i - 3*i + 25. List the prime factors of s(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + k**2 - k + 2. Give q(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 104*d - 2 - 865*d)*(4*d**2 - d**2 + d**2).\nAnswer: -3044*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2*6 - 17. Let h(j) = 14*j**2 + 5*j + 6. Suppose 0*m + 5*m = -15. Let b(s) = -5*s**2 - 2*s - 2. Give m*h(k) + n*b(k).\nAnswer: -2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of -3*16*265*22\/(-165)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*1966.\nAnswer: -9830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/49987 and -19\/85692.\nAnswer: 599844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(288) + sqrt(288) + 1*sqrt(288))**2 + -1.\nAnswer: 2593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -357.62 + 97.93. Let r = 248.8 + m. What is r rounded to 1 decimal place?\nAnswer: -10.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + (-9 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*j - 600 = 0, 5*b - 5*j = -2*j + 594. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85 + 44460917\nAnswer: 44460832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -32, -57, -72, -65, -24, 63, 208?\n\"Answer: 2*s**3 - 13*s**2 + 2*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2 = 22. Let a(b) = b**2 + 3 - b**3 + 0*b**2 - 2. Let x(c) = -5*c**3 + 7*c**2 + 4*c + 7. Let l(u) = w*a(u) - x(u). Calculate l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 3520?\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2426 - 24371\/10. What is the common denominator of 89\/80 and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34913911399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) 0 (c) 2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/3)\/(5\/(-30)*2). Calculate the least common multiple of 1*(-5)\/(5\/(-12)) and 1\/((5\/(-15))\/(-5 + m)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**2. Let n(i) be the third derivative of i**7\/5040 + 13*i**5\/60 - 19*i**2. Let g(r) be the third derivative of n(r). Determine g(z(f)).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 18*d**2 - 22*d - 87. Let s be x(-17). What is the closest to -3 in s, -5, -0.5, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**4\/24 - z**3\/3 + z**2. Let x be 28\/(-168) + (1 - (-139)\/6). Let d be (-3)\/(36\/57) + 18\/x. Give h(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40459 - 87970 = -10*o + 8881. Is 199 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 77\/66)*(-7 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12377855 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 368739 and 2961.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 525.1426ng?\nAnswer: 0.0000000000005251426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -85925*c**4 - 5*c**2 - 106108*c**4 - 36471*c**4 + 67316*c**4 + 5*c**2 + (-2*c**3 + c**3 + 2*c**3)*(-2*c + 1 - 1).\nAnswer: -161190*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*x + 8*x + 40 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 2*y - 3. Let l = -6 - -3. Let b be w(l). Suppose -2*z + 3*z - 4*n + 16 = b, 5*z = 3*n + 5. Solve -z*x + 3*m = -15 + 2, 3*m = 5*x - 17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 15 + 2*y - 3*y.\nAnswer: y - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(136) - -2*sqrt(136))*-6 + sqrt(136) - sqrt(136)) + sqrt(136))\/sqrt(8))**2 - (-3*(-1 + sqrt(1700)) + sqrt(1700) - sqrt(1700))**2.\nAnswer: -10396 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-8\/11)*n**(-36)*n*n*n**(-37)*n**(-15)\/n assuming n is positive.\nAnswer: n**(-965\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 735784 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: Factor 2*g**5 + 26*g**4 + 114*g**3 + 198*g**2 + 108*g.\nAnswer: 2*g*(g + 1)*(g + 3)**2*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164537774?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2266166106 + -7071965068.2266166106. Let s = i - -7071964982.99999814. Let l = s - -84. What is l rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 145908*k - 11653. Is m(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 3*n**3 - 3*n**3)*(3*n - 15*n**2 - 23*n**2 + 33*n**2).\nAnswer: 5*n**5 - 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 437, 8, -5, -1 in decreasing order.\nAnswer: 437, 8, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1. Let z(v) be the first derivative of -v**2\/2 + 5*v - 39. Give z(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**5 - 2*l**4 + 2*l**2 + 8*l. Let g(p) = 4*p**5 - 3*p**4 + 3*p**2 + 7*p. Let h(t) = 2*g(t) - 3*v(t). What is the second derivative of h(k) wrt k?\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822467276 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 27.03875 times 0.5\nAnswer: 13.519375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -741 + 142*p + 742 - 131*p.\nAnswer: 11*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -4*j - 132. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1461023418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 4:40 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5) + (-957)\/(-231)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*y**4 - 2*y**3 + 2*y**3)*(-6 + 1 + 4) + y**4 + 5*y**4 - 4*y**4)*(-3 - 2 + 3)*(y - 2 + 2)*(-7 + 3 + 1).\nAnswer: 30*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**5\/60 - q**4\/8 - q**3\/2 + 21*q**2 + 4. Calculate w(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**2 - 7*o - 4. Let l(c) = -3*c**2 - 6*c - 4. Let r(d) = -4*f(d) + 5*l(d). Let w(q) = -q**2 + 2*q + 4. Let v(b) = 7*r(b) + 6*w(b). Calculate v(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 161936 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 7. Let i = 31 - o. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37661 or 37657?\nAnswer: 37661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.19 - -0.2. Let x = -5.01 + n. Let v = -24.8 - -25. Sort v, -3, x in descending order.\nAnswer: v, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 8*g - 5, 0 = 3*k + 5*g - 32. Let v(m) = -13 + 10*m + 146*m**2 + 117*m**2 - 264*m**2. What is v(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/295393 or -1?\nAnswer: 6\/295393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -14*i - 55. Let x be k(-13). Let b = x - 61. Calculate the lowest common multiple of b and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 2, 4, -160, 1976.\nAnswer: -160, -5, 2, 4, 5, 1976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.06\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 1\/3*y**2 + 1\/3 + 2\/3*y = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-4) - (5 + (-10242)\/24)?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0.01, 2\/7, 3.09, 2\/15, -1\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*x**3 - 4*x**2 + 4*x**2 - 50*x**3 - 3*x**2 + 3*x**2.\nAnswer: 106*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by -4.\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-1 + -2 + 9 + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 + 31*j + 96. Let v be h(-7). Suppose -v*r = -44*r + 25668. Is r a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z**2 + z + 1. Let u = -8 + 6. Let r be 10\/(10\/2) + 6\/u. Calculate g(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4046195\/7 + -578027. Find c such that 0 + 2\/7*c**5 + 12\/7*c + 2*c**2 - p*c**3 - 6\/7*c**4 = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -109*s + 647. Let t be o(6). Let u(n) = -n**3 - 6*n**2. Let z(j) = 2*j**3 + 11*j**2 + 1. Give t*u(a) - 4*z(a).\nAnswer: -a**3 - 2*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -18*y**2. Let z(t) = -27 + 2 + 238*t**2 - 2 + 27. Calculate z(o(k)).\nAnswer: 77112*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (0 - -1) + 0 + 226358. Round c to the nearest one thousand.\nAnswer: 226000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(9\/(-9)) - 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 0*g + 5\/8*g**4 + 20\/3*g**3 - 1\/2*g**5 + 49 - 15*g**2. Factor m(j).\nAnswer: -5*j*(j - 2)**2*(j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4897.2 - 4897. Let y = -2 - -4. Which is the second smallest value? (a) -1 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28c - -13?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from nydnynnyynnninnynnnn?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, x: 1, t: 4, w: 1, j: 4, v: 1}. Give prob of picking 2 j.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1777032 and 30834.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1733839?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((120\/(-18))\/(-10))\/(2*(-3)\/(-6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 13*x**2 - 2*x + 1. Let n be f(13). Let p(t) = t**2 + 19*t + 54. List the prime factors of p(n).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 1)*(-3 - 1 + 8)*(6 - 3 - 4)*(-a**4 - 2*a**4 + 2*a**4).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*n + 17. Let g(z) = -n*z + 2 + 3*z**3 + 5 - 8 + z**2 + 2. Let c be g(1). Solve -c*x = f - 7, 20 = -4*f - 0*f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/19 (b) 166 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367591315.\nAnswer: 5, 7, 13, 227, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -2*b**3\/3 - 3*b. Let r be 0\/(-1) + 1*-3. Calculate q(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2923496830 to the nearest 1000000.\nAnswer: -2923000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -112*(-1 - (-1 - (-14)\/60)) + (-1932)\/14490?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/9 and (-12)\/(-3) - (7 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16229 - -23461. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33234\/2610 - (12 + 1)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3 + 4 + 11*g**2 + 13*g - 17 + 1 + 0. Let b(a) = 5*a**2 + 6*a - 4. Determine -9*b(y) + 4*w(y).\nAnswer: -y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (31314\/(-20876))\/((-46)\/(-4))?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6518*i + 338932. What is w(52)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2835 and 77175.\nAnswer: 694575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/125)\/((-3)\/5)*225\/(-18).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, -4\/3, -3, 37, -5, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -22. Let s = -2.4 + z. Round s to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2. Let r(o) = 21830*o**2. Determine a(r(d)).\nAnswer: 476548900*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.1, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1249 is divided by 612?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43850778365.69939 + -43851080310. Let b = r + 301905.3. Let z = -39 - b. Round z to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*v - 4*a, -3*a - 6 = -v - a. Suppose -3*l + 15 = -v*l. Let f = 4 + l. 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 -2b (base 13) in base 16?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 353855*v**2 - 6297131360*v - 1288388207340.\nAnswer: -5*(v + 207)*(v + 35282)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*l + 63 = -55*l. Suppose 6*s - 615 + l = 0. Is s a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3515 and 310.\nAnswer: 217930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 14 + 5. Solve -3*d + n*f = -2*d, -8 = d + 5*f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b - 14*b + 624. Suppose -u = w + u - b, u - 1542 = -5*w. Is 6*(1 + 0 - w\/(-12)) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100001100110000 (base 2) to base 5.\nAnswer: -3044333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -19*k + 11. Let f(t) = -4*t + 2. Suppose 3*v = -4*r - 53, -4*v + 0*r = -2*r + 34. What is v*f(y) + 2*z(y)?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/5 - 58690974*p**2\/5 + 287052711828564*p\/5 - 1722314158096968\/5.\nAnswer: 3*(p - 9781826)**2*(p - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000100626 to seven decimal places.\nAnswer: -0.0001006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3903271 is divided by 393?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -146742004*m + 60681180.\nAnswer: -146742004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/1001 and -137\/62501010.\nAnswer: 437507070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 11:26 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 9*p - 120. Let q be p\/3*(3 + 2 + -1). What is the greatest common factor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -3*a - 13, 10*a - 3*k + 4 = 12*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-3))\/((-2)\/24). Solve -12*h**5 + 6*h**3 + 16*h**2 + 2*h**4 + 22*h**3 + 3*h**4 - 21*h**n - 16*h = 0.\nAnswer: -2, -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Suppose 0*b = v*b - 158. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 3 = 5*r, 51 = -4*v + 59 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 < 2634\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(16\/3)\/(u*u**(-11))*u**(3\/19)\/(((u\/(u\/((u*u*u**2\/u*u)\/u*u)))\/u)\/u) assuming u is positive.\nAnswer: u**(769\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 20\/9, -5.7, 2\/7, 135, 1\/3, 1\/2?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 531450 and 850320?\nAnswer: 4251600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5)\/d**12)\/(d\/(d*d*d**(1\/10)\/d*d)*d**(-3)*d) assuming d is positive.\nAnswer: d**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 55*x + 33 - 2 = 59*x, 6*x = 24 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 16646849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c + 2 - 4*c**2 + 0*c**3 - 5 + c**3 - 2. What are the prime factors of g(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaqaqaaaaaaaqaaq. What is prob of sequence qqq?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 376532067.9999795 - 376532154. Let j = b + 86. Round j to six decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 10283562*b**2 - 20567133*b + 10283568.\nAnswer: 3*(b - 1)**2*(b + 3427856)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -15*i + 389. Let j be l(19). Calculate the highest common divisor of j and 910.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 274777363 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-5) - 2\/5. Suppose -3*s + 29 = -2*f + f, h*s = -4*f - 46. What is the tens digit of 96\/7 - 4\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-5)\/15*15. Let p(o) be the second derivative of 0*o**f + o**2 + 0 + 3*o + 5\/12*o**4. Find the first derivative of p(l) wrt l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**2 + 3228684*x - 868700030988 = 0.\nAnswer: 538114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115138 = 8*r - 35758. Round r to the nearest 100.\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 20510514*d**2 + 35056785889188*d - 70113489736344.\nAnswer: 3*(d - 3418418)**2*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/4 + 531*h\/4 - 418818.\nAnswer: 3*(h - 664)*(h + 841)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 33 + 5)*(0*k - 5*k + 4*k)*(20 - 3*k - 20)*(-50*k**2 - 12*k**3 + 50*k**2).\nAnswer: 1080*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 8 = -2. Let p be (-4)\/3*15\/l. Calculate the greatest common factor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 13. Let n(t) = -4*t + 561. Let d(z) = 89. Let q(c) = 6*d(c) - n(c). What is 5*p(h) + 3*q(h)?\nAnswer: 2*h - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 249991000 rounded to the nearest 1000000?\nAnswer: 250000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2557978 and 346.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.21, -1\/14, -60, 15?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/3 + 5)*4. Suppose -11*v + u*v - 15 = 0. What is the remainder when 20\/((v + (-10)\/2)*-1) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 3*s - 17, -i = -0*i + 3*s + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 17*m**2 + m. Let x(i) = -8*i + 36. Let s(f) = -6*f + 24. Let v(y) = 3*s(y) - 2*x(y). Give g(v(o)).\nAnswer: 68*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -4*t**2 - 151660*t = 0.\nAnswer: -37915, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 8*d**4\/9 + 40282*d**3\/9 + 1162486*d**2\/9 - 44645752*d\/9 - 3744488\/3 = 0.\nAnswer: -5006, -51, -1\/4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -133659 divided by 1?\nAnswer: -133659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9796*h*l**4 - 4*h*l**2 - 5*h + 734 wrt l?\nAnswer: 39184*h*l**3 - 8*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167.063 kilometers in micrometers?\nAnswer: 167063000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15328)\/3640 + 4 - 64\/(-416).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/31028 and 71\/44?\nAnswer: 341308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009627144 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**3\/5 + 52253320*t**2 - 522533194*t\/5 + 261266596\/5 = 0.\nAnswer: 1, 130633298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**3 - 3*g**3 - 3*g**3)*(-2*g**2 - 5 + 10 - 2).\nAnswer: 2*g**5 - 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -44.21, 0, -1\/2, 0.2, 2\/9, 58\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 6:48 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027574472 to five dps.\nAnswer: -0.02757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 6) + -2 + -1 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202021 (base 4) to base 8.\nAnswer: 4211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0 = 11*a + 6. Sort 0, 41, -1\/2, a, -2 in decreasing order.\nAnswer: 41, 0, -1\/2, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 22*j + 18. What is the remainder when r(14) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*2)\/((sqrt(7) + sqrt(7)*-4 + sqrt(7))*-3).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1236.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12757 is divided by 290.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 8216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 681424, 681260, 681094, 680926, 680756, 680584?\nAnswer: 680410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 37*l**3 + 0.\nAnswer: 37*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - u**2. Determine j(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 13\/6*z**3 - 10*z**2 + 0*z**5 + 0*z**4 + 1\/210*z**7 + 0 + 0*z**6 + 0*z. Differentiate q(t) with respect to t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 3*s + 11 = -2*r, 0 = -3*r + s. Let v(m) = 115*m - 21*m - 2 - 1 - 82*m - 22*m. Calculate v(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + o + 2. Let j = -41 - -44. Let k be y(j). Is -2*((-183)\/2 + k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a decade?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 676655*a - 676655*a + 9 + 5*a**2 + 1779*a**3 wrt a?\nAnswer: 10674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20094\/(-1576) - 13*-1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**3 + 16*h**3 + 7 - 22*h**2 - 7*h**3 + 3 - 3*h**3. What is the smallest common multiple of ((-2)\/3)\/(4\/(-30)) and b(22)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223020321 + 10?\nAnswer: 223020331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/(-17) + 2\/1. Solve z = 5*j - 5, c = -4*c - 2*j + 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y + 20*y - 14 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -300*v**6 - 12*v**2 - 12*v?\nAnswer: -36000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2471 != -2474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/35 in 0.1, -2\/7, 48, 74?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 4:10 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1061?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 73*i**2 + 2*i + 31598. Let s(j) = 35*j**2. Determine t(s(b)).\nAnswer: 89425*b**4 + 70*b**2 + 31598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3776\/320*528\/15576?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2558625 by 5.\nAnswer: -511725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (254\/6 + -3)\/(4\/102) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204844 is divided by 102367.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 506 and 1166.\nAnswer: 26818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/11359?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 311 and 916517.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28857 + -10091. List the prime factors of c.\nAnswer: 2, 11, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4670*o - 13989. Let n be u(-3). Let d = 95 + 262. Calculate the highest common divisor of d and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 186021 or 10603234\/57?\nAnswer: 186021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3667751751 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(-48)*6 - 2. Let l = a - 17\/40. What is the third smallest value in l, -0.2, 1\/10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 23090?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.5, 0.4, -10, -5.\nAnswer: -10, -9, -5, -0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 7. Let n be c(2). Suppose 5*u - 5*g - 20 + 0 = 0, -5 = 5*g. Let j(m) = -m**3 - 3*m**2. Let l be j(-3). Solve -n + l = u*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.586 - 0.086. Put y, -3, 4 in descending order.\nAnswer: y, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 194 + -129. Calculate the highest common divisor of 26 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 10. Let v be t(6). Suppose v*u = u + 195. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18, -78, -152, -246, -366, -518?\n\"Answer: -i**3 - i**2 - 50*i + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d = -3*d + 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -88, -160, -246, -352, -484, -648, -850, -1096?\n\"Answer: -o**3 - o**2 - 62*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256 and 544?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 16*q**2 + 14*q - 6. Let f be (121\/7 + 34\/(-119))\/1. Is y(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13602, -20571, -32180, -48429, -69318, -94847, -125016?\nAnswer: -159825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1027*o - 1029*o + 2061*o. Let s(h) = -18*h. Let v(m) = m. Let t(a) = -s(a) - 15*v(a). Calculate t(n(d)).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a day?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-8775)*-26)\/((-16)\/(-12))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7*f**3 - 2)*(-6 + 2 - 10 + (-1 - 2 + 2)*(1 + 2 - 5) + 4 + 2 - 1).\nAnswer: 49*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4*v + 0*v - 33 = 0, 4*v - 19 = -w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 486*h + 7201. Let g be r(257). Suppose 14 = 2*j - 4. Solve -3 = 2*v - k, g*k - 6*k + j = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**5\/120 + 5*p**4\/8 + 7*p**3 + 37*p**2. Let v(o) be the first derivative of i(o). Give v(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*d**3 - 17*d**3 + 27*d**3.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 - -350. Suppose 0 = -21*p + 6*p + u. Solve -p = 3*r + y, -r + 15 = r - 5*y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 293 + 1a?\nAnswer: 2ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a centimeter in micrometers?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 432 and 792?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -5, 8\/21, 1?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.91 - -0.09. Let q = 109.141 - 0.141. Let f = q - 106. What is the second smallest value in o, f, -6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-840) - (-202369)\/(-7980)) + 25\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, -28, -113, -232, -385, -572, -793?\nAnswer: -1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 114?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.114 - 78086\nAnswer: -78086.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 2, q: 6, e: 1, y: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyouaudoduduoo. Give prob of sequence au.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -3023*z**5\/10 - 621*z**3\/2 + z**2\/2 - 136*z. What is the second derivative of c(h) wrt h?\nAnswer: -36276*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 2*x - 1. Let o be q(1). Suppose 5*n + 3*p = -3, p + o*p + 1 = 3*n. Solve 3*g + 5 + 1 = n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p - 17. Let f be y(-12). Suppose -f = -2*z + 25. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9163243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 8*p**2 + 15*p - 2. Let u be l(-4). Which is the fourth biggest value? (a) -0.5 (b) -1.2 (c) u (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 47. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10455 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(20\/1400*-10). Let f(s) = -81*s - 4. Let l(j) = -40*j - 2. Determine w*l(o) + 3*f(o).\nAnswer: 37*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2878 is divided by 2673.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/5293, -2, -4, -11 in decreasing order.\nAnswer: 2\/5293, -0.5, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q**2 - 26*q**2 - 6 - 14*q**2.\nAnswer: -13*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -551, 5, -0.105, -4, 2\/129?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 18*m**2 - 67*m - 89. Calculate j(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20577409993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -123, -128, -137, -150?\n\"Answer: -2*z**2 + z - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002101 (base 3) to base 2.\nAnswer: -1100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/7 (b) -1.9 (c) 1 (d) -4\/5 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q - 109 = -4*u, 0 = -3*u + q + 73. Let x be 212\/u + (-10)\/65. What is the second derivative of -352*m**2 + 332*m**2 + x*m + 8*m wrt m?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3556 + 7959. Suppose 3997 = -4*s - o. Round s to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -416853 (base 9) to base 7.\nAnswer: -2051346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 13 - 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**3 - 80*q**2 - 252*q + 74. Let y be t(-24). Round y to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4837557, -4837551, -4837541, -4837527, -4837509?\nAnswer: -4837487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4736.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 400 + -372. Suppose r = -y + 5*r, -2*y - 5*r + 13 = 0. Calculate the highest common divisor of o and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 h when four letters picked without replacement from {w: 2, h: 8}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 8, -38, -22, -102, -2 in increasing order.\nAnswer: -102, -38, -22, -5, -2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -q - 2. Is 12*(-1)\/q*11 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20818\/57993*(-52)\/(-70).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -6*y + 35, 806*y - 811*y - 3*l = -28 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 51 + (20 - -7) + 0 + -12\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 17, 62, 129, 218, 329, 462?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9454, 9370, 9230, 9034?\nAnswer: 8782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 - 1234*l**2 + 6076189*l\/4 + 18317523\/2.\nAnswer: (l - 2471)**2*(l + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-1*(-1)\/(-5))\/(4737\/7895))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9129945283723637.99999938 - -9129944753055620. Let i = 530668026 + p. Let s = i + -8. Round s to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13721 or 1374?\nAnswer: 1374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 17 (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 349590 and 774.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-12)*4*1\/32?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f + 3*v, 3*v - 15 = 0. Suppose 4*p - 49 - 19 = -a, f*a + 4 = p. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 107137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -22. Suppose r*j + 792 = 11*j. What is the highest common factor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 36*p**2 + 5*p - 100. Let w be h(-36). Is -280 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35683 divided by 2461?\nAnswer: 35683\/2461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116 + -111. Let z(w) = -w**2 + 5*w - 4. Determine z(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 362949470 times -0.5\nAnswer: -181474735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 256093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20367.6 + 20266.521. Let p = l - -101.6. What is p rounded to 2 decimal places?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -9, -2, 5\/141, -3, -0.05?\nAnswer: 5\/141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*y - 3*i + 17, -3*i + 6 = 0 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 353053884 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/17 + 83466*o**2\/17 + 500742*o\/17 + 751086\/17.\nAnswer: 2*(o + 3)**2*(o + 41727)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1612, -5\/4, 37?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*t + 237*t = 37303. Are 510 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 824 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -147 and -0.141?\nAnswer: 20.727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**5\/11 + 259404*l**4\/11 - 1815730*l**3\/11 - 72*l**2\/11 + 9338040*l\/11 = 0.\nAnswer: -2, 0, 3, 6, 129695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -5 - 3) + 1 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 34*w**2 + 38*w - 552. What is the units digit of r(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2, 0 = -i - 16*b + 17*b - 2. Solve 0 = -z + 3*t - 2, -2*z - 4*t - 38 + 24 = i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 903 = -d + 834, -2*x + 1741 = d. Let a = 6989\/4 - d. Is 8 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 717 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -6*y**4 + 557890*y**3\/7 - 47173520*y**2\/7 + 51050200*y\/7 - 633504 = 0.\nAnswer: 2\/21, 1, 84, 13198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 186*i**2 - 6*i + 8. Let h(d) = -124*d**2 + 4*d - 5. Let x(r) = -8*h(r) - 5*n(r). Let q(w) = 2*w. Calculate q(x(p)).\nAnswer: 124*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*12\/(-153)*(-1)\/2. What is the smallest value in 2\/5, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19634 - 19649. Let b(x) = 6*x**3 + 5*x**2 + 6. Let y(q) = -q**3 - q**2 - 1. Determine j*y(z) - 3*b(z).\nAnswer: -3*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + 4 + (-1*sqrt(1377))**2.\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14224 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37461*u - 195*u**2 - 37461*u to a*u + l*u**2 + i and give l.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**2 + 1\/24*r**4 + 0 + 0*r + 7\/3*r**3. Calculate the least common multiple of d(6) and 9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -301, -3, 4085, 1, 12 in increasing order.\nAnswer: -301, -3, 1, 12, 4085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3124183, 3124180, 3124177, 3124174, 3124171?\n\"Answer: -3*c + 3124186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816545.\nAnswer: 5, 163309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5849*n**2 + 41*n. Let k(f) = -16*f. What is k(z(m))?\nAnswer: 93584*m**2 - 656*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*w + 2*i, -4*w - 3*i = w - 35 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(10\/7)*n*(n**(2\/73)\/n)\/n*((((n**(2\/57)\/n*n)\/n*n*n)\/n)\/n)\/(n*(n*n**35)\/n) assuming n is positive.\nAnswer: n**(-1063396\/29127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w - 3. Let t be v(-5). Solve 0*h + 2*h - 2*a - 6 = 0, -h - t = 5*a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 - -0.09. Let b = 0.97 + o. What is the nearest to 0 in b, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w + 29. Let z be j(4). Suppose -n = -0*n + 1, -2*p + z*n + 31 = 0. Let q = 29 + -25. Solve 3*a + a + 5*u - p = 0, q*a - u - 7 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(156)*-3)\/((sqrt(36)*3)\/sqrt(3)) + -1.\nAnswer: -1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*t - 15, 0 = t + 4*t + 2*i - 21. Suppose -3*v = -2*h + 41, 3*h - t*v + v = 74. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (0 - (-3 - (1 - 1))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242479.\nAnswer: 242479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.4 + 7. Let t = -0.4 - d. Let j = 4.79 - -0.21. Which is the closest to t? (a) 0.1 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*o + n - 5, -25 = -o + 4*n. Suppose -11 = -h + 2*q, -h - 8 = -o*h - q. Suppose b + 4 = -h*x + 11, -2*b + 2 = 2*x. Solve x*z = -1 - 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m**3 - 3*m - 2*m + m + 5. Let f(n) = n**3 - n + 1. Suppose -s + 4 = 9. Let l be -1 + (-6)\/(-9)*3. What is l*r(a) + s*f(a)?\nAnswer: 2*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 9*x + 13. Let b be k(-8). What is the second derivative of -10*s - 2*s**b - 458*s**4 + 458*s**4 wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 200 = 4*b + u, 5*b = 2*u + 259. Suppose 7*d = b + 38. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19512?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21222191.\nAnswer: 109, 113, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*n = -270, -16*n + 21*n = -w + 38. What is the remainder when w is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**3\/6 - s**2\/2 + s. Suppose 10*v - 648 = 212. Let a = 83 - v. Let i(t) = -2*t + 2. What is a*i(p) - 4*l(p)?\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1001*g**2 + 3982*g**2 - 986*g**2 + 122 - 986*g**2 - 122 - 993*g**2.\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -19. Let a(c) = c**5 - 8*c**4 + 7*c**3 + 6. Let d(p) = -3*p**5 + 23*p**4 - 20*p**3 - 17. Let i(f) = h*d(f) + 17*a(f). Find k, given that i(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69268847?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*v - 32*v + 16*v)*(-19 + 19 + 25*v) + (-7*v + 2*v + 3*v)*(28 - 28 - 8*v) in the form y*v**2 + a*v + l and give y.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 8:30 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 4*b - 43, 6*b = 4*q + 2*b - 76. Suppose 15 = -5*m, 4*m - 85 = -5*k - q. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -3.6. Let x = y - 2. Let l = -0.1 - x. What is the closest to -1\/3 in -1, 0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w**3 - 25*w**2 + 6*w - 6. Let v(a) = -15*a**3 + 51*a**2 - 13*a + 13. Suppose -3*d = 20*l - 17*l - 39, 3*d - 4*l + 10 = 0. What is d*v(o) + 13*z(o)?\nAnswer: o**3 - 19*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 162 and 96115713966?\nAnswer: 96115713804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + 6?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2821*s = 2820*s - 5639*s - 110 for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(4\/9)\/d*d\/d**(-1\/3)*(d*d*d**(-2\/5))**(2\/11)*((d\/d**(-2\/9))\/d)\/d**(3\/5)*((d\/d**(-1))\/d)\/d*d**(1\/4)\/d assuming d is positive.\nAnswer: d**(-13\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*h - 28 = 0, 5*y - 25 + 33 = 3*h. What is the nearest to 1 in 4, -5, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3508 - -3522. Solve 0 = -2*k + 24 - i, 3*k = -t + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 42 = -3*l, -14 = -j - 9*l + 58. Solve -22*o = -j*o - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4677 = -13*n + 3292. Let t = -578 + n. What is the remainder when t is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229505535 to the power of 1\/3, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 2)*(-8)\/(-16). Let f be (-12 + 12)\/(5 + k). Which is smaller: -5\/4 or f?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/362912 and 103\/10384.\nAnswer: 21411808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7 = -3*p. Suppose p*z + 4*k - 41 = 2*z, -k = 1. Suppose 0 = -z*u + 8*u. Solve 0 = -g - u - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 2102691700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d + 11 + 61. What is the remainder when -6*2*46\/(-12) is divided by d + (-132)\/(-15) + 162\/10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4, -5*q = a - 2*q - 2. Let x be a\/3*(-22)\/55*3. Is -1.77 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + -0.2. Let z = 1.8 + -1.4. Let a = h + z. What is the biggest value in 0.5, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*z - 19 + 93, z + 2 = 0. Let j = -37 - l. Suppose 3*k - s - 41 = k, j*s - 56 = -3*k. Solve 6*w + k = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 32. Let a be (-1 - -4)*m\/12. Let q be a\/9 + (-110)\/(-18). Solve 2*d = -4 - q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*c - 2 + 9, -5*w + 3*c + 9 = 0. Suppose -5*n + 3*i = -689 + 137, -w*i = -3. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3249*h**2 - 3272*h**2 - 3238*h**2 + 12998*h**2 - 3219*h**2.\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((18 + -396)\/18 - (-218)\/10)*85\/2\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -12012.\nAnswer: 5\/12012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 4*y - 371 + 349 = 0, -9*m + y = -82 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/2*3\/(-6). Suppose -3*w = -s*w + 12. What is the tens digit of (125\/(-10))\/5*w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 times 3163699?\nAnswer: 727650.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9129 + 9129.004129. Round i to four decimal places.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/2 + 11634\/35118. Let j = 83845\/23412 - i. Let t = 61\/60 - 14\/15. What is the common denominator of j and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -3ab10a1?\nAnswer: 3ab10a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -26 (b) -2\/437 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from {t: 3, u: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(1\/4))\/l*l*l**(6\/5))\/((l\/l**(-2\/3))\/l)**(-7) assuming l is positive.\nAnswer: l**(397\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d + 54 = 0. Let f be (-8)\/36 + (-22)\/d. Calculate the remainder when 1*(23 - 3)*f is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*q + 43*q + 7 + 2*q**2 - 3*q**2)*(3 - 1 + 1)*(4 - 3 + 1)*(0*q**2 + q**2 - 2*q**2) to the form o*q**3 + h*q**4 + c + w*q + g*q**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -2\/21, 1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.019 (b) 5 (c) 309 (d) 0 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-175)\/(-335)) + (-64)\/(-160)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.9 + 17.9. Let z(q) = q**2 + 8*q - 8. Let v be z(-9). Let y be (12\/16)\/(v\/(-2)). Which is the second biggest value? (a) y (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in 1\/8, 3\/7, 38, 0, 1\/4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 5:28 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 349060, 698399, 1047738, 1397077, 1746416?\n\"Answer: 349339*j - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/10*(-7784)\/6811?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78.03 + -79. Let k = j + 1.27. Sort -0.3, k, 3, -1 in descending order.\nAnswer: 3, k, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - s**2 + 0 + (s**2 + 0*s**2 + s**2)*(133 + 111 - 316))*(s + 2*s - 4*s).\nAnswer: 145*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1066 divided by -26.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 4\/12 - 2\/(-3). Factor 2\/3*a + 0 + 2\/3*a**3 - g*a**2.\nAnswer: 2*a*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - l + 98377 = 0, 56 = l + 53. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -10*w + 17. What is x(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + r**2 + r + 15. Let g be p(0). Let f = g + -9. Let h be 3\/f + (-1)\/(-14). Which is the third smallest value? (a) 5\/6 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 9*q = -270. Calculate the remainder when 205 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 5*r + 16 = 0, 5*a - 4*a + 3*r = -4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9562.577 - 9508.8. What is l rounded to 0 dps?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (127 - 113) + (1 - 2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -29. Which is the closest to 0.1? (a) f (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, k: 3}. What is prob of picking 2 r and 1 k?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3228 + -2588. Calculate the remainder when y is divided by 107.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*f - 869, -n = -2 - 1. Suppose -q + f = 4*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**7\/6300 - a**5\/300 - a**4\/12 + 7*a. Let j(d) be the third derivative of m(d). Determine i, given that j(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-5) + (-2679)\/(-195) + -16?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 92, 134, 174, 200, 200, 162?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 443.1*48\nAnswer: 21268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c35 (base 14) in base 10?\nAnswer: 5143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720\/96*(-3)\/(3\/(-2)) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*n - 6 = -0*f, -4*f + 5*n + 7 = 0. Let u(k) = -f*k**3 - k + k**2 + k**3 + 4*k**3. Let h(d) = -2*d - 1. Let b be h(-1). What is u(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 70, 106, 156, 220?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 6 - 4 = -2*j, 5*a - 4*j = -41. Let o(x) be the third derivative of x**5\/30 + x**4\/4 + x**3\/3 + 3*x**2. Does 11 divide o(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 27*w**2 - 3*w. Let g(r) = -r**2 + r. What is 3*g(p) + l(p)?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.043 and -2935?\nAnswer: 2934.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4525315 (base 8) in base 16?\nAnswer: -12aacd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2496.72 - 2496.6573964. Let m = 0.10261 - i. Let v = 0.04 - m. What is v rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23)\/(-5) + (-2)\/(-5). Suppose -k*i - 3 = 7. Is 7 a factor of (-3)\/((-22)\/(-14) + i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129039532 to the nearest integer?\nAnswer: 11360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001032 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 2. Let g be t(3). Solve 5*d - g = 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-2 - -1)*113. Is 38 a factor of 16\/12*a\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10895 - -1274?\nAnswer: -9621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjgjqpwwdpjdwq. Give prob of picking 1 d and 1 j.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 511859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.9 - -25. Let i = 0.04 - 0.14. Let w = i + -0.1. Which is the nearest to f? (a) -0.3 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 less than 9.9?\nAnswer: -237.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1039597*s**2 + 2 - 1 + 1039589*s**2 - 2*s**3 + 1895*s + 23*s**5 wrt s?\nAnswer: 460*s**3 - 12*s - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -1384.7189?\nAnswer: -415.41567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2. Let f(g) = 2*g**2 - 4*g**2 + 710 + 326163*g - 326163*g. Calculate f(a(d)).\nAnswer: -8*d**4 + 710","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -11. Let y be (-2)\/(-6) - (-20)\/f. Sort y, -4, 1\/2 in decreasing order.\nAnswer: y, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1693755248 to the nearest integer?\nAnswer: 41155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -205*v - 915*v - 19040 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -6731.\nAnswer: -4\/6731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.8 - -22. Which is the biggest value? (a) o (b) 6 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) - (1*(sqrt(2057) + 1 + sqrt(2057)))**2.\nAnswer: -8229 - 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2292, -2777, -3366, -4059?\nAnswer: -4856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/9 (b) 3\/10 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55004483 to the nearest integer?\nAnswer: 7417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4\/3 - 95*s**3\/3 - 457*s**2\/3 - 211*s - 90 = 0. What is s?\nAnswer: -90, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)\/(n**(-4)\/n)*n\/((((n*n*n**(3\/5)*n*n*n)\/n)\/n)\/n)*n**3)\/(n**5\/(n*n**(1\/6)\/n*n*n))**(-1\/32) assuming n is positive.\nAnswer: n**(6037\/960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 12, p: 1}. Give prob of picking 2 e.\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -165 + 161. Which is the closest to g? (a) 0.5 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1522 is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20108053 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 748065508 to the power of 1\/3, to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*w = -7 + 3, 3*c + 5*w = -14. Suppose c*b + i = 234, b - 4*i + 0*i = 126. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -35*n - 2. Let s(x) = 185*x + 3. Let p(d) = -5*c(d) - s(d). Let t(b) = -37*b. Determine p(t(w)).\nAnswer: 370*w + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yykyyyayfawyyyyfayky. What is prob of picking 2 y, 1 f, and 1 a?\nAnswer: 132\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 5*p**2 + 7*p**2 + 2*p**2 - 8*p**2. Let r(u) = -74*u**2. Give y(r(o)).\nAnswer: -16428*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1105\/18, 2, -2\/35, 0.3, -7, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17219672?\nAnswer: 2, 41, 47, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 94583.89 nanometers?\nAnswer: 0.009458389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3963 + 1260 + 2471)*(-2*p**2 + 2*p - 2*p)*((-2*p - 3*p + 3*p)*(0 + 0 - 3*p) - 1 + 2*p**2 + 1) to x + v*p + n*p**2 + l*p**4 + u*p**3 and give l.\nAnswer: -123104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24243 + -2143123?\nAnswer: -2113330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3))**15\/(s**(-2\/17))**(-15\/2) assuming s is positive.\nAnswer: s**(-100\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 7 = 3*d, -4*k + 478*d = 230*d + 233*d - 67 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 - 4 + 2 + l**3 + 2*l**3.\nAnswer: 2*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -6915.8133 to the nearest 10.\nAnswer: -6920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28113 is divided by 4242?\nAnswer: 2661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 30. Let i be s(13). Suppose -2*a + 3*z + 112 = 0, -4*a + 252 = -3*z + i*z. What is the highest common factor of a and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 231*i**2 - 416*i + 113934 with respect to i.\nAnswer: 462*i - 416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9584.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 0 (b) 4 (c) -26\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -162*h**4 + 3474*h**3 - 21464*h**2 + 51040*h - 41600 = 0. What is h?\nAnswer: 20\/9, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - (sqrt(637) + 1*sqrt(637)))**2 + -5 + sqrt(13) + 2.\nAnswer: sqrt(13) + 634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnnj when four letters picked without replacement from jjnnjenn?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-3)\/(-27) + 8\/(-126)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16102.\nAnswer: 2, 83, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*x - 7*x + 503, -x + 253 = c. Solve 0 = -2*o + 2*k - 12, 2*o + 247*k - x*k = -12 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/6 of a week in minutes?\nAnswer: 72240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, -7, -10?\n\"Answer: -3*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glgqlggq. Give prob of sequence qll.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.9719641 rounded to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**5\/3 - 213239*r**4\/3 + 1066309*r**3 + 24950903*r**2\/3 + 39452074*r\/3 + 5971112 = 0.\nAnswer: -213254, -4, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -9\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40856112 divided by -154758.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.15411*1734.\nAnswer: -2001.22674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 249186305?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/92*(0 - 7).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 divided by -202?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4\/3 + 64372*s**3\/3 + 579591*s**2 = 0?\nAnswer: -27, 0, 64399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -7*w**2 - 6*w - 98. Give y(0).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/15*3*15. Let z be (-132)\/(-16) - 6\/(-8). Let k = z + h. Solve -k = 3*u + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h + 7021842 = 7021296 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -212*k + 13. Let q be l(14). Let b = q + 20648\/7. Calculate the common denominator of b and -65\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, e: 5, y: 2}. Give prob of picking 2 y and 1 s.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1736, 3465, 5194?\nAnswer: 6923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -19. Suppose 0 = b - r - 4. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/8 + 0)\/(-6). What is the smallest value in p, 0.2, 9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -39*i**3 - 2*i**2 + 2. What is g(-1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 11 = m, m = 5*g - 19 - 2. Let t = 7 - g. What is the second derivative of -3*j - 2*j + 3*j + 2*j**t wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, v: 2, y: 2, s: 4, l: 7, a: 1}. What is prob of sequence vly?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 11, m: 2}. What is prob of picking 1 o and 1 m?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1197\/(-9975))\/((-6)\/20)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 = -2*h, -1 = -s + h + 4. Suppose 3*r - 55 + 58 = 0. Let t = -1 - 4. Put t, s, r in descending order.\nAnswer: s, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3845 + -3a?\nAnswer: -3883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100 - -106. Let u = -209.5 + r. Is 3 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 25 = -2*h, -3*r = -6*r + 15. Suppose 37*x + 170 = 42*x. Solve -h*i = -14 + x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccejtctdtj. Give prob of sequence ttj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68)\/sqrt(16))**2 - sqrt(204)\/(sqrt(48) - sqrt(12))) + 5)*-6.\nAnswer: -111\/2 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 948610 and 12.\nAnswer: 5691660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/29 (b) 13\/3 (c) -6\/11 (d) 7\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.7808 or -9\/4?\nAnswer: 1.7808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30414032 is divided by 59.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 1)\/((-3)\/(-21)). Let p = -4 - b. Suppose -p*t + 9 = -18. Calculate the lowest common multiple of 4 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 7*y + 0*y)*(-32*y + 11*y - 3*y) as x*y + r + v*y**2 and give v.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + (sqrt(320)*-2 + sqrt(320))**2)*2 - (-2 + sqrt(320)*1)**2.\nAnswer: 48*sqrt(5) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -33187254\nAnswer: -5\/33187254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*v - 20. Let b be 39420\/(-68328)*(-9 + 1). Is v at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s + 2*s**2)*(315 + 13*s**2 - 315)*(-4*s - s + 3*s).\nAnswer: -52*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34140 and 1.116.\nAnswer: -38100.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 360081291*k**3*s*v - k**2*s*v + 2*k**2*s - 34373008*k*s*v + 2*s*v - 2 wrt k?\nAnswer: 2160487746*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122102112 - 1?\nAnswer: -122102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 14127?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*c, l - 6*l + 74 = 4*c. Does 19 divide 188 + (-4 - l\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.27389344746 and 3.3?\nAnswer: 3.02610655254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -298108, -596286, -894534, -1192852, -1491240, -1789698, -2088226?\n\"Answer: -35*v**2 - 298073*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 5:10 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.480018 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 27*f**3 + 2*f**2 - 2*f + 1. Let z be l(1). Let b = 56 - z. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1708735 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 13 = -4*a. Suppose -45 = -a*f - 5*f. Find the second derivative of -9*l**4 - f*l**4 + l**4 + 13*l + 13*l wrt l.\nAnswer: -204*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-14)\/280)\/(3\/(-5)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 - 64 = 14*w. Which is smaller: -57\/5 or w?\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9805040 and 3360.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3754 is divided by 359?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**6\/60 - y**5\/4 + 5*y**4\/24 - 5*y**3\/6 - 3*y**2 - 97. Let u(d) = d**3 + 8*d**2 - 3*d + 3. Give -3*a(g) - 5*u(g).\nAnswer: g**3 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 190*v - 6*v**4 - 2 + 3*v**3 + 2*v**2 - 393*v + 199*v - 5*v**3 to b*v + p*v**4 + t*v**2 + o*v**3 + u and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n + 107*n = 6*n + 602 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14273 + 16172. List the prime factors of u.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/(-9) - 1\/3. Suppose -3*a = -15, 2*t - 3*a - 61 = -h*a. Calculate the remainder when 164 is divided by t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = 3*y + 2*y - 75 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*p**5 + 2*p**4 + 2*p**2 - 3*p**3 - 1\/2*p + 0.\nAnswer: -p*(p - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*p + 2 = 41*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 23. Let y = -12 - q. Suppose -4*j - g = -9, -y*g = -2*j - 2*g + 2. Sort 4, -1, j.\nAnswer: -1, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 12:49 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122 - 3*w + 122)*(-13 + 3 - 6)*((-2 + 4 - 1)*(3*w - 2*w - 3*w) + 0 - w + 0) + 4*w**2 + 0*w**2 - 5*w**2.\nAnswer: -145*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5)*u**(-3\/4)\/u)\/(u**(-2\/7)\/u)**(-3\/23) assuming u is positive.\nAnswer: u**(-4887\/3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 24, 93, 240, 495, 888, 1449?\nAnswer: 2208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 56\/(-42)*69\/2. Let v = -32 - r. Calculate the remainder when 97 is divided by (-2124)\/(-84) - 4\/v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87348 divided by 6.\nAnswer: 14558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 39 = -l, -3*l + 2*r + 2*r = -78. Let f be (7 - 3) + -1 + 3\/(-3). What is the remainder when -16 + 133 + f*1 is divided by l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311948 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 372 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 953715.5 decades to millennia.\nAnswer: 9537.155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qz when two letters picked without replacement from {z: 13, q: 3}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**2 - 3*f + 2. Let o(w) = 1. Let y(p) = h(p) - 5*o(p). Is y(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325239 is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -81217, -325907, -733725, -1304665, -2038721, -2935887, -3996157, -5219525?\n\"Answer: n**3 - 81570*n**2 + 13*n + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 3. Suppose -2 - 19 = -w*f. What is the units digit of 4*-2*(6 - f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from bfneexfbenexfp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 3*(4\/(-3) + (-24)\/(-12))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 104*k - 42 = -105*k, 3*r - 5*k - 89 = 0. Calculate the remainder when (2 + -9)*216\/(-14) is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(228)\/((sqrt(48) - -4*sqrt(48))\/sqrt(4)).\nAnswer: -6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -32*m**2 - 21 - 35 + 56. Give o(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016056 take away -0.02?\nAnswer: -1016055.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -18) + 9 - 31.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-100))\/(1072\/(-320))?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -23*l - 8. Let a be 6\/(1 - (-7)\/(-4)). Let j be f(a). Suppose 0 = -5*p + 25, 2*n - 3*p = 6*n - 79. What is the highest common divisor of j and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-606)\/324 + 5\/2 + 1 and -43*2*(-3)\/216.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9834 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 35*y - 228, 16*p - 13*p + 22 = 6*y + 4 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8658.782 weeks in nanoseconds?\nAnswer: 5236831353600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139504094 to the nearest integer?\nAnswer: 11811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**2 + 2. Let n(m) = 4*m - 5. Let y(p) = -45*p + 54. Let i(h) = -54*n(h) - 5*y(h). Calculate i(s(t)).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*a + 82*a - 40*a = 4*h + 31, h - 5*a + 19 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 14.8, -11, -3\/5, 0.2, -1\/8 in descending order.\nAnswer: 14.8, 1, 0.2, -1\/8, -3\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x - 7*x + 9*x)*(-60 - 2*x + 60).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3110360 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/47929 and -48\/865715.\nAnswer: 1012020835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**1)**(-11\/5)*(c\/c**1)\/c*c*c*c**(-2\/9)\/c*c)**45 assuming c is positive.\nAnswer: c**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115501403*a**3*m**3 - 951*a**2*m + 686*a*m**3 + 3*a wrt a?\nAnswer: -693008418*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (-50 - -38) - -56) + 21?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1 - (-1 - ((-6 - -9) + 1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 5064?\nAnswer: -5057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49818?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -444*d**2. Let c(w) = -12*w + 27622 - 13813 - 13809. What is c(t(s))?\nAnswer: 5328*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 54 and 55 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a**2 + 6*a + 4. Let f(k) be the third derivative of -7*k**5\/60 - 7*k**4\/24 - 5*k**3\/6 - 78*k**2. Determine 5*f(w) + 6*o(w).\nAnswer: w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 555, 1882, 4467, 8730, 15091?\nAnswer: 23970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13233 (base 5) to base 13.\nAnswer: -642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/276 and 33\/28244?\nAnswer: 84732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -6. Let y(q) = q + 8. Let p be y(h). Let d(m) = 6*m + 14. Let l be d(-2). Sort p, l, -2 in increasing order.\nAnswer: -2, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/68, -5 in increasing order.\nAnswer: -5, 1\/68, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**2 - 8*u + 4. Let t(i) = i**2 - 2*i + 1. Let v(h) = 2*c(h) - 9*t(h). Calculate the smallest common multiple of v(2) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -1\/12*o**4 + 0*o - 7\/45*o**5 + 2\/9*o**3 - 1\/45*o**6 + 1\/72*o**8 + 0 + 4\/105*o**7 - 5*o**2. Suppose d(g) = 0. Calculate g.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 171736, 1373594, 4635770, 10988422, 21461708, 37085786?\n\"Answer: 171693*i**3 + i**2 + 4*i + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/7, 4\/5, -3\/5, 2\/15?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 134130 (base 6) to base 12\nAnswer: 7346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i**3 - 8*i**2 + 8*i - 401. Let x(q) = 2*q**3 + 2*q**2 - 2*q. What is w(s) + 4*x(s)?\nAnswer: 2*s**3 - 401","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 29.5. Let h = -107 - -104. Let p be (-1)\/(h*(-1 - 2\/(-3))). What is the closest to p in 0.4, -0.3, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -125*q. Let i(x) = 731*x. Calculate i(w(p)).\nAnswer: -91375*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a + 0*a)*(2 - 2 - 1)*(-3*a**2 + 2*a**2 + 0*a**2).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-56)*(510\/(-75))\/(8\/10)\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 + 10 = -3*s. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*m + 128*m - 44*m - 42*m - 154)*(-2 + 2*m + 2).\nAnswer: -4*m**2 - 308*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 82085227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11632805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 0*l + 37 - 5*l + 4*l - 46. Let c(b) = -2*b - 17. Let i(w) = -3*c(w) + 5*t(w). Let z be i(-1). Is z smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0752 + 46.\nAnswer: 45.9248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 h when four letters picked without replacement from {h: 2, b: 11, m: 1, n: 5}.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 34. Let i(l) = l**2. Determine i(h(b)).\nAnswer: 4*b**4 - 136*b**2 + 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfw when three letters picked without replacement from {k: 2, d: 3, w: 5, i: 1, f: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3080 = 5*w - 4775. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 2*r + 8. Let y be -2*(-2 + 2 + -1). Let x be (-3 + 7 + -4)\/y. Let s be g(x). Which is bigger: s or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2882 and 20698.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 757976.2 centuries to millennia.\nAnswer: 75797.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2268, -2372, -2476, -2580?\n\"Answer: -104*v - 2164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 14\/8093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 26, -2, -2\/11, -5?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkjkjkkpjjk. What is prob of sequence jjpk?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6442200967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102)*-3 + (sqrt(102) - sqrt(102)*1*-3))\/((sqrt(42) - sqrt(126)\/sqrt(3))\/sqrt(7) + 2*sqrt(150) + sqrt(150)).\nAnswer: sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 14*v**2 + 14*v + 19. Suppose 1 = -2*n + 31. Let g be s(n). Solve 0 = -4*u + 8 - g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**8\/42 - 7*q**5\/60 + 12*q**2. Find the third derivative of u(k) wrt k.\nAnswer: -480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 3*n, n - 11 = -5*i + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 3, 14, 33, 60, 95?\n\"Answer: 4*m**2 - 9*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p + 1. Let h(r) = 11*r + 9*r - 26*r + 3*r + r + 1. What is -3*f(g) + 4*h(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-4) - (-16017)\/76 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 276\/19 or 14?\nAnswer: 276\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**2 + 20*v - 1138.\nAnswer: 4*v + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.066, 3\/17, -0.5 in descending order.\nAnswer: 3\/17, -0.066, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -93783, -3, 4 in decreasing order.\nAnswer: 4, -3, -10, -93783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45996 + -13799. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.49 - -17.54. Sort 0.1, 88, a in decreasing order.\nAnswer: 88, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**4\/12 - z**2\/2 + 2*z. Let t be s(1). Solve -3*u - u + 12 = t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-2)*(7371\/45 + -5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*v + 5. Suppose 0 = v*i - 2*i - 6. Suppose -c + 0 = -3. Solve i*q - c*q - 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175 divided by -2.\nAnswer: 175\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s = -20. Suppose -4*z - 25 = z, 0 = -3*y - 5*z - s. Find the second derivative of -j**y - 2*j**5 - j**5 - 2*j wrt j.\nAnswer: -80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 798\/9*2*3. Let h = s - 321. Let f = 838 + h. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390 = -104*b + 134*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4598105 by 919621.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 247414933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(3\/4))\/(g\/((g\/g**(-4\/7))\/g))*(g**(-3\/5))**(1\/6))**(1\/49) assuming g is positive.\nAnswer: g**(171\/6860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: cb047 (base 13) to base 3\nAnswer: 200122101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26457636 and 15433621?\nAnswer: 185203452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -1, 1545 in descending order.\nAnswer: 1545, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -369820 + 6466*j**2 + 764693 - 380812 wrt j?\nAnswer: 12932*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -142*l - 2366. Give p(-16).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**3 + 17*p**2 - 33*p. Let h(q) = 2*q**3 + 6*q**2 - 11*q. Let d(c) = -17*h(c) + 6*u(c). What is the second derivative of d(t) wrt t?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2911160 divided by -2072.\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.039 - -26.039. Let v = 25 - j. Is v bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1118\/(-22919) - (-136)\/(-574)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7640 divided by -5?\nAnswer: -1528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 2*p - 13*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 276 in 0.01, -10, -104?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 558 = -12243. What is r rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, l: 6, q: 2, n: 3, i: 1, w: 5}. What is prob of picking 1 n, 1 l, and 1 w?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/11 in 1, 5, 42?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) 1\/2 (c) -2 (d) 17.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/3*0\/(-423).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-1)\/(-194)*-2) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u**2 - u**2)*(2 - 10 + 0) + u + 3*u**2 - u + (6*u - 5*u + 4*u)*(-1382 + 121*u + 1382).\nAnswer: 616*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9*-8)\/(-2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crll when four letters picked without replacement from {u: 1, w: 3, l: 3, c: 2, d: 1, r: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14746 to three decimal places.\nAnswer: 0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 1316742*h**2 - 1316742*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 310725 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 third derivative of -6953590*c**4 - c**3 - 77280*c**2 - 48*c wrt c?\nAnswer: -166886160*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 28. Suppose 3*y = -4*j - y + 44, 0 = j - u*y - 3. Suppose -j*c = -7*c - 34. Solve -5*o - 42 + c = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*g + 40617 = -543*g - 10689 for g.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/123085 or 1?\nAnswer: -2\/123085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1486 + 754?\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 11124208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 405425\nAnswer: -1\/81085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4730053 is divided by 1019?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - -16626217?\nAnswer: 16626234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*z + 30*z + 30*z + 35*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76990 and 523532?\nAnswer: 2617660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (25*(-18)\/(-45))\/1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 810 and 3510.\nAnswer: 10530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*(10 + 2 + -782)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -6*n + n. Let c be (-53 - (n - -3))*-2. Round c to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = -6*z. Suppose -z*q + 73 = -3*b, 3*q + 167 = 7*q + b. Suppose 0 = 5*v - 24 - q. What is the remainder when 103 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -250 (b) 0.8 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p*p*(p\/(p*p**2\/p))\/p*p)\/p))\/p*p**(-2\/5)*(p*p\/p**(2\/3)*p)**48 assuming p is positive.\nAnswer: p**(553\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*f**3 - 49*f**2 + 35 + 88*f + 227*f**2 + 342*f**2 - 363*f.\nAnswer: 5*(f + 7)*(4*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*o = -2410991292 - 2092183377. Let t = 1436301 + o. What is t rounded to the nearest 1000000?\nAnswer: 147000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/(-3))*(-64)\/(-288).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 9. Let w be x(-13). List the prime factors of (w - -1) + 123 + (3 - 9).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 2 - 2)*(w + 4*w + 0*w)*(5677*w + 0 - 5991*w + 0).\nAnswer: 4710*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230, 1066, 2724, 5420, 9370?\nAnswer: 14790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2*x = 2, 5*x = 35 - 40 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1402871151.\nAnswer: 3, 11, 53, 179, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1130176 and -39\/128.\nAnswer: 2260352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 8*p + 2. Let m be x(-8). Suppose 3*y - 12 = 3. Put y, -2, m in ascending order.\nAnswer: -2, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 8. Let z(x) = 6*x - 3*x + h*x. Let u(d) = d. Let c(b) = -5*b. Let q(l) = -c(l) - 6*u(l). Calculate q(z(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1362.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -14. Let l = -3.502 + 0.142. Let p = 0.64 - l. Which is the fourth smallest value? (a) -3\/11 (b) p (c) i (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2983.1 to the nearest 10.\nAnswer: -2980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h**2 - 7. Let p(z) = z**2 + 1. Let m = -13 + 11. Let b(a) = m*n(a) - 14*p(a). Let y(k) = 3*k. What is b(y(l))?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 124271.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k**2. Let w(r) be the first derivative of -4 + 0*r**2 + 2\/3*r**3 + 0*r. Give a(w(x)).\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**3 + 5*s**2 - 4*s - 9. Let h(t) = t**3 + 2*t**2 - 2*t - 4. Let z = -999 + 990. Give z*h(y) + 4*g(y).\nAnswer: 3*y**3 + 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607868 is divided by 55256.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6593356?\nAnswer: 2, 7, 11, 21407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)\/(f\/(f*f**(-2\/21)*f*f))*f**(-8)\/f**(3\/10) assuming f is positive.\nAnswer: f**(-2183\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-33)*(-3)\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604330403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - 21\/35*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 5, 8, 0, 3, 134.\nAnswer: -4, 0, 2, 3, 5, 8, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 40462898?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8\/(x\/x**(-5\/4)))**(1\/7) assuming x is positive.\nAnswer: x**(23\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*y = -28 - 7, 3*y + 9 = -3*z. Let s(l) = -l**2 - 8 + 2*l**2 - 2*l**z + 7. Give s(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 6:05 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 4*q**2 - 17*q + 12. Let h be k(-6). Let b = 182 - h. Let z(a) = -a**2 - a + 2. Determine z(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*g - 434 = 0, 2*g - g = -2. Let v = l + 223. Let p = 28 - 20. Solve r + p = 2*n, -v*r + 5*r - 24 = -4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29271 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1132? (a) 0.1 (b) -0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*z + 293, -7*z + 3*z - 8 = 0. Let r = q + -99. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/4 of a week?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125678427 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -43. Suppose -i*u = -8*u + 3148. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98474927 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.2, -2\/19, 4, 1\/4 in descending order.\nAnswer: 4, 1\/4, 0.1, -2\/19, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4329 = y, -4*y - 2*z - 1308 = -18624. Suppose -1152 = 9*a - y. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**6\/120 - f**5\/20 + f**4\/6 + f**3\/2 - 7*f**2. Let n be k(-2). Let y be ((-2)\/n)\/((-4)\/24). Are -0.2 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddv when three letters picked without replacement from owcovcvoacccodcdcdow.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 253 + 285 = 8*v, 3 = -v - 2*w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52715.39 take away -174.3172?\nAnswer: 52889.7072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*b - 298831449 = 12304551. Round b to the nearest 100000.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363124226 to the power of 1\/2, to the nearest integer?\nAnswer: 19056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Suppose -o*w + 9 = -1, 5*w - 55 = -5*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/105 and -4\/889.\nAnswer: 13335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-488)\/(-2318)*(-1)\/2\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(2 - 0 - (-88)\/(-48)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12524916 * -1.2.\nAnswer: 15029899.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 435 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: Simplify (sqrt(99)\/sqrt(3)*-3)\/(-1*sqrt(11)*3).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6*(-5)\/(-20)*-6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 + -1.5. Which is the smallest value? (a) s (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6500080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 43 + -17 - (-1)\/1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 61 = -173. Let f(x) = -11*x + 4. Let v be f(2). Let r = -2 - v. Calculate the lowest common multiple of r and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a**16*a)\/a)\/(a\/a**(-6\/13)))**(2\/7)\/((a*a*(a**(-9)\/a*a)\/a)\/(a\/a**2)*((a\/(a**(-2\/3)*a))\/a)**27) assuming a is positive.\nAnswer: a**(1860\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6 times -1?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (386\/(-84) - -5) + 5\/(-10)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-51)*(692\/(-2422))\/((-6)\/(-7)).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8*t**2 + 11*t + 11. Let a(h) = -3*h**2 + 4*h + 4. Let l = -147 - -211. Let q = l + -68. Determine q*z(s) + 11*a(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 1\/4 (c) -1\/2 (d) -2\/13 (e) -7\/3 (f) 0.077\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*c - 23, 0 = 3*c - 4*r - 0*r - 25. Suppose -c*d - 6 = -5*d, -2*m = -2*d - 1202. Is m a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-5)\/(-1))*(-2)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1522857*k. Let m(u) = 7*u**2. Calculate g(m(z)).\nAnswer: 10659999*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -295, -711, -1293, -2041, -2955, -4035?\nAnswer: -5281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, f: 2}. What is prob of sequence uuu?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2270553 is divided by 756814.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0023285461 to 5 decimal places.\nAnswer: -0.00233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (13 - (59 + -9))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1820, -1383, -656, 361, 1668, 3265, 5152?\nAnswer: 7329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 24. Let x = 421 + -432. What is s(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z + 2*z)*(1 + 0 + 1)*(-2 + 2 + 3 + (3 - 2 + 1)*(-3 + 1 + 0)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 1:16 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -10. Let o be ((-6)\/(-18))\/(3\/z). Let w be (-4)\/(-2)*(1 + 1). Calculate the greatest common divisor of w and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 1)*-3 + 1 - 0. Suppose -2*n = 4*w - 2, -w - n - c*n = -5. Let w + 0*r**2 + 21\/4*r**5 + 0*r - 27\/4*r**4 + 3\/2*r**3 = 0. What is r?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 1:27 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 1393961780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 - 5*q**2 + 8*q + 12.\nAnswer: -(q - 2)*(q + 1)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-8))\/(1\/(-3)). Let v = l - 0. Is 2 a factor of (-1)\/v*(-81)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1356 + 5\/(-1))\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*a**3 - 10\/3*a + 2\/3*a**5 + 8\/3*a**4 - 4\/3*a**2 - 4\/3.\nAnswer: 2*(a - 1)*(a + 1)**3*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-45))\/((-8)\/36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 10)\/(-5 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 2\/3 (b) 13 (c) 2\/59 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*q - 9, 61 - 55 = 2*q + 2*g. Solve 2*a - q*f + 20 = 28, 0 = -5*a - 5*f + 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5751470*h**4 - 48*h - 6463 wrt h.\nAnswer: 69017640*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.2 (c) -2 (d) -4 (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p + 0*p + 0*p - 5*p in the form g + u*p and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 30. Let j be 24\/8 + 35\/d. Sort -0.2, j, 2\/3.\nAnswer: -0.2, j, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8265 or 8153?\nAnswer: 8153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from zzdzzd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4794)\/14 - (-6)\/6. Let d = -342 - l. Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - -0.1. Let t = d + 0.4. Let n = t - 0.0999999. Round n to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 79*l - 15. Let c(s) = 43*s - 8. Let r(w) = -11*c(w) + 6*d(w). Let p(m) = -m**3 + m**2 + m + 2. Let y be p(2). Suppose 8 = -2*f - y*f. Give r(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206.04279 months to millennia.\nAnswer: 0.0171702325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqj when three letters picked without replacement from qvjvjvvjq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20562 divided by 1\nAnswer: 20562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 708*b - 97. Is o(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (-5)\/(-1))\/(15\/(-10)). Suppose -4*m = 16 - h. Is (-834)\/(-6) + (-12)\/m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjqmmzqqmqmzmmqm. What is prob of picking 1 m and 2 z?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3872?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110 - -1110001011?\nAnswer: 1101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2. List the prime factors of (-1)\/(n\/30*-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/4502088 and -47\/6156.\nAnswer: 13506264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -753*n + 90090 = 2712*n for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - 3. Let i = p + -2. Let t be 1\/((2 - i)*-1). Does 0 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -610\/3 - -182. Calculate the common denominator of j and 19\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 7*i + 1. Calculate v(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14175 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13857 = l + 4*a, -594*l + 41483 = -591*l + a. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2 + 595*f - 233550 = 0 for f.\nAnswer: -865, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.085 - -47.734. Round h to 1 dp.\nAnswer: 26.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 - 7*j - 3*j**2 - 3*j.\nAnswer: -j**2 - 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y + 3. Let m be h(4). Suppose 52*j - 23086 = 66*j. Let c = 1664 + j. What is the greatest common factor of c and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371047 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: Let a = -8764 + 8768. Solve 8*u = a*u - 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.058 - 294.080841\nAnswer: -294.022841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*z**2 + 32*z**2 - 6*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 - -453111?\nAnswer: 453044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 311775.2g?\nAnswer: 0.3117752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-11)\/(-5) + -3)*(46\/6 - 6). Which is the fourth smallest value? (a) -2\/7 (b) l (c) 8 (d) -3\/2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5\/3 - 10*g**4\/3 + 10*g**3\/3 + 10*g**2\/3 - 4*g = 0 for g.\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/5)\/((-26)\/65). Solve -y = p*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -3*i + 22. Suppose -2*g = g - i. What are the prime factors of (2 - g\/2)*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r**(-2\/23)*r)\/r*r**(-1))**(-8)\/((r**(-1))**(8\/3)\/((r**4\/r)\/r**(-3))) assuming r is positive.\nAnswer: r**(94\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + (7 + -2 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 23*k = 20*k + 3, 9*c - 4*k - 29 = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -524815202*k**2 - 64796*k - 2.\nAnswer: -2*(16199*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.4 + 10. Let v = i + -18.6. Let c = -14.93 - v. Which is smaller: -0.2 or c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -67, -63, -59, -55?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 6*u - 78. Suppose -2 = -z - 0. Let o = z + 2. Calculate the smallest common multiple of o and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299806417?\nAnswer: 299806417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0152139 and -4.440151.\nAnswer: -4.4553649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.724124 rounded to one dp?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 225 = -2*l. What is the greatest common factor of 360 and l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2611)\/(-1119) + (-7)\/3. Put o, -2, -3, 5, 12 in decreasing order.\nAnswer: 12, 5, o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -634068.931+5\nAnswer: -634063.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/43390 and 29\/53.\nAnswer: 2299670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1381316794?\nAnswer: 2, 11, 13, 4829779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8490 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81421 is divided by 67?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 2\/9, 13.\nAnswer: -0.6, 2\/9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*q = -142*q + 116*q + 6153 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1))**(1\/30))**(-16))**(10\/17) assuming i is positive.\nAnswer: i**(16\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3 + 4 - 4*n + 3 + 2 wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -14*o**4\/3 - 11*o**3 + 25*o**2 + 2. Find the first derivative of r(l) wrt l.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228954 is divided by 18620?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/11)\/s**(3\/5))**(1\/5)\/((s**(2\/5)\/s*s*s)**(-10))**(-15) assuming s is positive.\nAnswer: s**(-57773\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**2 + j + 2. Let x(p) = -p**2 - 6*p + 6. Suppose 28 = 13*o - 17*o. Let q be x(o). Let c be u(q). Put 0.2, c, 0.06 in increasing order.\nAnswer: 0.06, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120642 and 60.\nAnswer: 1206420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 17\/(51\/396) - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -7 (c) -4\/7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 4)*(-34*j - 51 + 51)*(-12 + 0 + 6).\nAnswer: 612*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29668191.\nAnswer: 3, 7, 37, 38183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -13. Suppose 0 = -5*k - q - 10. Which is smaller: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -63*j - 3. Is 20 a factor of u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/10)\/(15\/(-6)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -9. What is the remainder when 83 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/15736 and -33\/19108?\nAnswer: 267512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 7*t + 10. Solve l + g - 8 = 6*g, 4*l + t = -g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 99134080?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1. Let f(r) = r. Let k(n) = 6*f(n) + 6*o(n). Let t(c) = -7*c - 6. Let z(h) = 4*k(h) + 3*t(h). Let d(y) = -6*y - 13. Calculate 4*d(b) + 9*z(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -22. Suppose x = -x + a. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/126*375\/(-50).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i - 14*i + 16*i = -16*i. Let m(s) be the third derivative of i - 1\/24*s**6 + 0*s + 4*s**2 + 1\/42*s**7 + 0*s**4 + 0*s**3 + 0*s**5. Factor m(k).\nAnswer: 5*k**3*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 236 - 3*z**2 - 236. Let q(r) = 81*r**2. Give q(n(d)).\nAnswer: 729*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*t**3 - 175 - 139 + 313 - 2*t**2 - 2908*t**3.\nAnswer: -2941*t**3 - 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + 2. Suppose -4*q = -j + x, -2*j = -j + 2*q - 14. What is the greatest common factor of j and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 10 - 7 = 0. Let r = -104 + 107. Let m(g) = 1099*g - 2*g**3 - r - 3*g**2 - 1096*g + 3*g**3. Determine m(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**5\/2 - 405*g**4\/2 - 153205*g**3\/2 - 457175*g**2\/2 - 228180*g - 75992 = 0.\nAnswer: -236, -1, 644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.119131 * -0.1.\nAnswer: -0.5119131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*q**3 - 128*q**3 + 135*q**3 - 160*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 226 in -0.013, -2\/3, -5, -3?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 7:27 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 28*s + 79. Let w be x(-3). Let z(d) = -16*d**3 - 7*d**2 + 3*d + 40. What is the tens digit of z(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 + -45. Let f be ((-33)\/r)\/(21\/(-105)). Suppose f*d - 31*d = 254. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -68 (b) 0.1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 4*z**4 + 3*z**4 - 2 + 5. Let j(l) = l - 6. Let c be j(5). Let g(u) = 1. Let m(o) = c*r(o) + 3*g(o). What is the second derivative of m(t) wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3468, 3472, 3474, 3480, 3496?\n\"Answer: r**3 - 7*r**2 + 18*r + 3456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-1776)\/(-117)) + (-1368)\/8892\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-78)\/(-30) + 6\/15. Solve -4*q + i*y - 20 = 0, -3*q - 4*y = 2 - 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51.22 + 45.22. Which is the closest to 1? (a) 3\/5 (b) j (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 0*d + 11 = 4*d, 197*a - 199*a + 5309 = 469*d + 122*d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 188 + -137. Suppose -y*v = -49*v - 144. Suppose 7*j = -2*k + 5*j + v, 4*j - 184 = -5*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 37*x + 159. Determine z(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*t**4 + 17 - 17 + (-9*t**3 + 3 - 3)*((0 + 3 - 4)*(3*t + 2*t - t) - 2*t - 2*t + 3*t).\nAnswer: 38*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/51 + 20\/408. Let l be ((-20)\/12 - -2)*-2. Which is the third biggest value? (a) 1 (b) t (c) -2\/17 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1178 is divided by 195?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n + 71. Let z = -2545 + 2552. Determine x(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18361760.\nAnswer: 2, 5, 114761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**2\/2 + 5*t + 7. Let o be r(6). Which is the closest to o? (a) 3 (b) 3\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(20\/9)*w)\/(w*w*w*w**(4\/9)*w*w*w)*(w\/(w*w\/w**(7\/5)*w*w*w*w)*w)**4 assuming w is positive.\nAnswer: w**(-613\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 226800 and 3024.\nAnswer: 226800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 6.88286 and 9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 4*f + 2. Let x be m(-2). Let o be 50\/30 - (-3)\/9. What is the greatest common divisor of o and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.64 - 0.679. Let t = 0.115 - u. Round t to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -71*j**2 + 141*j**2 - 64*j**2 - 6*j - 8. Let b be y(4). What is the highest common divisor of b and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 7*z - 3*z - 26, -2*w - 3*z = -8. Let h be (5\/w)\/(2\/4). Let b(i) be the first derivative of -i**4\/4 - 2*i**3 - 2*i**2 + 6*i - 378. Calculate b(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118456 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 8:58 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) 58 (c) -2.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -162*u + 112. Let y(q) = -53*q + 38. Let i(f) = 6*c(f) - 17*y(f). List the prime factors of i(-6).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 505 + -500. Suppose b*j + r = 50, 21 = 4*j - 2*r - r. Calculate the highest common divisor of j and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 5*t**2 + 5*t + 6. Let z be u(-4). Solve 0 = -0*o + z*o - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/(-12)*60\/50. Suppose -5*h = -d*z - 60 + 2, 19 = 2*h - 3*z. What is the remainder when 41 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/61 greater than -0.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -14. Let y be (-246)\/(-9)*3\/l. Calculate the greatest common divisor of y and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (2 + 0) - (129 - (-83 - -205)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + ((0 + sqrt(931) + -2)*-3)**2)*-2.\nAnswer: -16838 + 504*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -481, -862, -1141, -1318, -1393?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 9\/(162\/93) - (-2)\/(-12). Solve r = 4*w + 4*p - 12, 3 = 5*w + p + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2054)\/237*(-38)\/14820?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - 0.4. Let r = 0.019 - 0.519. Sort k, -3, -0.3, r.\nAnswer: -3, r, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 11*i**2 - 27*i - 3. Let g be h(7). What is the third biggest value in g, -0.044, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -106, -741 in descending order.\nAnswer: -21, -106, -741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -10, 262, 848, 1844?\nAnswer: 3346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**3\/2 - 201*z**2\/4 - 102*z + 1591. Find a, given that h(a) = 0.\nAnswer: -1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 8*w**2 - w**2 + (2 + 2 - 1)*(-10*w + 10*w + 8*w**2) as l + g*w**2 + h*w and give g.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 364322?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1\/6, -3\/7, 1\/4, 2274, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324 divided by 5.\nAnswer: -324\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f = 0. Let v(g) be the first derivative of g**4\/4 - g**2\/2 + g + 1. What is the units digit of v(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -116*q - 138?\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 3:29 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.828 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2267760 and 137440.\nAnswer: 4535520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895.91 less than -4?\nAnswer: -1899.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 867*l**2 - 473*l**2 - 395*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 7*o**3\/3 + 5*o**2\/2 + 2*o - 86. Let a be s(-1). Solve -5*y = -0*h - 3*h + a, -4*y + 19 = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 + -3 - -95) + -26.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3\/4, -985.2, 6, 2, -2\/7 in decreasing order.\nAnswer: 6, 2, -2\/7, -3\/4, -2, -985.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -7*h**6\/120 - h**5\/30 + h**4\/4 - 5*h**3\/6 + 51*h**2. Let s(o) = -15*o**3 - 4*o**2 + 13*o - 11. What is -13*f(g) + 6*s(g)?\nAnswer: g**3 + 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a18442 + -2?\nAnswer: -a18444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 + 0.44. Let b = -10 - -7. Let m = 580 - 580.2. Sort y, m, b in decreasing order.\nAnswer: y, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = 18. Let u = -6 + v. Let w(y) = y**3 - 5*y**2 + y. Let a be w(5). Solve 4 + a = -u*x - 3*h, -15 = 5*h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 158476 or 158474?\nAnswer: 158474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -388, 5, -20?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510 a factor of 132460117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhw when three letters picked without replacement from {h: 2, w: 2, l: 1, b: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 22222.3 times 3\nAnswer: 66666.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 38990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q = 15*q + 30. Suppose 1 - 11 = -3*k + q*p, 0 = k + 3*p - 7. What is the closest to 0.015 in 1, k, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 28 = -16. Suppose t*g - 2*b + 26 = 114, 4*b = -2*g + 80. Calculate the greatest common divisor of 416 and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*n + 228*n - 91145*n**3 + 91147*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 162, 317, 462, 591, 698, 777, 822, 827?\n\"Answer: -h**3 + h**2 + 159*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 3. Let f(s) = -3*s + 8. Let j(k) = -2*f(k) + 7*r(k). Let h be j(0). Let c = 17 - h. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1176 and -83\/17027010.\nAnswer: 68108040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**2 + 4*o. Let f = -20 + 17. Let s(w) = -4*w**2 - 3*w. Let d(v) = f*r(v) - 2*s(v). Find the second derivative of d(j) wrt j.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**4 - 1 + 1 + (4*i**2 - 5*i**2 + 3*i**2)*(-87*i**2 - i**2 + 9*i**2))*(-4*i + 0*i + i).\nAnswer: 468*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -879 - 468 - 542*c + 1082*c - 541*c to s + w*c and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(15\/(-6) + 2) - 0. Which is the second biggest value? (a) 2 (b) -3\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 173853 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from qqqqqqqqjqqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-4.11868.\nAnswer: 4.11868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 - 8*u**2 + 45 - 2*u + 5*u**4 + 8*u**2 - 30 - 3*u**4 in the form m*u**3 + n + j*u + c*u**4 + h*u**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1232*g - 8 = 1236*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -850*c - 14. Let u(n) = -284*n - 5. Give 14*u(t) - 5*w(t).\nAnswer: 274*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 3519\/166873 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 30309*h**2 + 4*h + 30311*h**2 - h)*(-2 - 2 + 2) to w + d*h**2 + b*h and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25303355 and 4305.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17055, -34110, -51165?\n\"Answer: -17055*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -4 - ((-128511)\/4 + 200\/(-160))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2912452 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001304 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**7\/42 + 7*y**6\/24 - 2*y**5\/3 - 10*y**4\/3 - y**2\/2 - 4*y - 83. Let m(v) be the second derivative of q(v). Factor m(d).\nAnswer: -5*d*(d - 4)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 5*j**2 + 4*j + 3. Suppose 0 = -3*s - 2*o + 10 + 8, -2 = -2*s + 2*o. Let a be m(s). Let y(r) = -6 - 5 + r + 1 + a. Determine y(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28.252779s?\nAnswer: 0.47087965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -12*j**2 + 1104*j - 556*j - 548*j. Let l(i) be the third derivative of 0*i**4 - 1\/20*i**5 + 0 + 2*i**2 + 0*i + 0*i**3. What is -9*l(u) + 2*q(u)?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -2 - (-4 + -4). Let r be (-142)\/w - 6\/27. What are the prime factors of 8\/2*(-76)\/r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24\/37 (b) -0.6 (c) -16\/3 (d) 5\/4 (e) -8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - g + 6*g - 18 = 0, 2*x + 2*g = 12. Suppose 0 = -z - x*z - 24. What is the remainder when 356\/(-10)*20\/z is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -19. What is the second derivative of -101*b**4 + 101*b**a + b**5 - 3*b wrt b?\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 186180281?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1394, 1396, 1400, 1406, 1414, 1424, 1436?\nAnswer: 1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/337946152 and 73\/40.\nAnswer: 1689730760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/3, 5\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130332100211 (base 4) to base 5.\nAnswer: 3421020140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22184589106 - 8?\nAnswer: -22184589114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, -23, 4, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5480463100 rounded to the nearest one million?\nAnswer: -5480000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.21501 + 0.2024. What is x rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1741 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + w + 128 - 30 = 0, 0 = 2*w + 4. Let k be v*(-1 - 3\/(-2)). What is the remainder when 10 is divided by 3 - 0*(-3)\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1391\/52 + (42\/(-24))\/(-7) and 99?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -27, -671, -2417, -5817, -11423, -19787, -31461?\n\"Answer: -92*g**3 + g**2 - 3*g + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/13))**(-5\/9) assuming l is positive.\nAnswer: l**(-10\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.433 - 0.033. Let w = 21 - u. Which is the smallest value? (a) -2\/3 (b) -0.1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let a be 27\/(-15)*60\/(-9). Let m(y) = 2*y**2 - 12*y - 2. Give a*t(d) - m(d).\nAnswer: -2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3477)\/(-646))\/183)\/((-2)\/8)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (31\/(-3) + 2)*((-672)\/60 + 10). Solve w*z = -0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8.3 and -6.7?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 6*i - 27. Suppose i*t + 12 = -2*j + 6*t, 4*t = -16. Let v be 4\/6*(-30)\/(-4). Solve -5*s = -3*k + 11, 0 = -3*k - j*s - s + v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 74*w + 4. Let g be l(1). Suppose 3*i = -g + 102. What is the least common multiple of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = -f. Let q(p) be the first derivative of -p**6\/90 + 2*p**3\/3 + 16*p - 93. Let v(t) be the third derivative of q(t). Determine v(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 31*m**2 - 11*m + 151. Is c(29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10618, 10597, 10574, 10549, 10522, 10493?\nAnswer: 10462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 548*o + 24468. What is s(-49)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -415 + 430. Suppose -14*w + 3837 = q. List the prime factors of w.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z + 5503 - 552 = 742 + 1212 for z.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2*o**4 - 27 + 27)*(-5 - 2*o + 5).\nAnswer: 4*o**5 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.8632 - 11.93. What is o rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-7 - (-5)\/1). Suppose -3*d + 5*m + 767 + 239 = x, -3*m + 1620 = 5*d. List the prime factors of d.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(21)\/sqrt(7)) - 1*(sqrt(27)*-3 + sqrt(27) + sqrt(27)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/10)\/(2\/10). Let y(h) = h**2 - h - 4. Let i be y(p). Suppose 2*v + 3*v = -3*a + 30, 0 = 5*v - 15. Solve -41 = a*s - i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/4)\/((45\/6)\/(138\/920))\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - ((-102)\/33 - -2)) + 9889503\/(-137181)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**5\/3 - q**4 - 5*q**3 - 17*q**2\/3 - 2*q = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2482.854 minutes to hours.\nAnswer: 41.3809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127 or 1039631?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*d = -79*d - 7*b - 1, 2*d + 4*b = -4. Let v(x) = 2*x**2 + 5*x - 7. Let t(s) = -2*s**2 - 4*s + 6. What is d*t(f) + 3*v(f)?\nAnswer: -2*f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2108 - 0.207338. Round q to 4 dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 58, 229, 0.4?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 3*o + 0*o)*(-3 + 2 + 3) + (1 - 4 + 2)*(-1 + 1 - o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - h - 6*h + (-3*h + 3*h + 2*h + (-4 + 4 + 2)*(1 + h - 1) + 2*h + 0*h - 3*h)*(2 + 1 - 1)*(-2 + 12 + 1).\nAnswer: 61*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2413545076?\nAnswer: 2, 37, 89, 97, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-20) - ((-946)\/(-9504)*212 - 22)?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngaw when four letters picked without replacement from {g: 2, w: 1, n: 4, a: 8}?\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 8. Let j = -6 + v. Put 1, j, -4\/7 in ascending order.\nAnswer: j, -4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4073 or -4074?\nAnswer: -4073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 68288*v + 582906368.\nAnswer: 2*(v - 17072)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2\/17, 0.3, -0.0524, 2, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -3\/53, 5, 0.14 in descending order.\nAnswer: 5, 0.14, -3\/53, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/13 - 5886*d\/13 - 94688\/13.\nAnswer: 2*(d - 2959)*(d + 16)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01052152 to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**3 + 3*g**3 - 7*g**3 + 5*g**3 - g**3.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-10)*(-495)\/594?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7258687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-42) - (-1 + 8\/12). Let s = -1 + 3. Suppose z + 4 = -s*j, -3*j - 2*z + 5 = 13. Which is bigger: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2630496 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -17 - (3 + (2 - 4)). What is the units digit of (-3)\/f + (-380)\/(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/5 + (-4)\/(-40))*(643940\/(-30660) - -21)?\nAnswer: -2\/219","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (4 - (-3 + 6) - (3 - 18))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 210.7459 weeks?\nAnswer: 127459120.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 9. Let q be d(6). Let o(s) = -6*s - 3. Let z(m) = -3*m - 2. Let g(j) = -6*o(j) + 10*z(j). What is the tens digit of g(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2032729619?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Suppose -b = f - 4*b - 8, 5*f = -3*b + 4. Let t(v) = -7 + 5 + 4 - 4 - 3*v**f + 2*v. Give t(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*g + 63*g - 30. Let s be 40\/35*g\/(-24). What is r in -6\/7*r**4 + s*r**5 + 4\/7*r**3 + 2\/7 + 4\/7*r**2 - 6\/7*r = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r. Let u(k) = -7*k**2 + 11*k. Let l(b) = 2*b**2 - 4*b. Let j(c) = -11*l(c) - 4*u(c). What is j(f(i))?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*1*(sqrt(950)*1)\/(3*sqrt(2)*2).\nAnswer: -5*sqrt(19)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 2*z**2 + 4*z - 3. Let w be p(2). Let b(n) be the third derivative of n**4\/3 + 4*n**3 - 61*n**2. Does 16 divide b(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17903\/24 + -747. Calculate the common denominator of d and -97\/20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 7*j + 124. Let b be y(15). Solve r - 2 = -3*p + 2, b*p + 20 = 5*r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 9 + -2 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 17240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-33900)\/(-102) + 24\/(-68) is divided by 40.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 153.4 + -153. Let z be (-4)\/(-9) - (-44)\/(-18). Let t = 0.2 + 0.3. What is the closest to z in 1, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**4 - 7768590*k**3 - 17377791*k**2.\nAnswer: -72*k - 46611540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1778 and 667996?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24871 and 418?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -1 (c) -102 (d) 5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-58024)\/(-28) - (-3 - (-23)\/7). Calculate the highest common factor of 148 and v.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by 56524.\nAnswer: -22\/14131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 124 and 22.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -5 + 29 + 4 - -30?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 51.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 4*g**2 + 11*g + 3. Give p(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 34. Let a be ((-3)\/m)\/((-2)\/(-4)). What are the prime factors of 198 + (-1 - -2) + a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**5\/20 - j**4\/6 + j**3\/3 + 11*j. Let x be i(2). Let p(l) = 2*l - x*l + l. Determine p(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-5 - -10) + 0 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 42*m**2 - 2*m + 2. Let b be o(1). Let f = 21 + -15. What is the remainder when 19 is divided by b\/(-4)*(-4)\/f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*q**2 - 11 - 37*q**2 - 5 in the form u*q**2 + g*q + r and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17 - 1)\/((-24)\/(-16)). Let x be (-1)\/1 - (-17 + h). Let k = x - 33. Which is greater: -6 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23373\/26 - -899. Let m(r) be the first derivative of -9 - 2\/13*r - u*r**4 + 2\/39*r**3 + 1\/13*r**2. Factor m(z).\nAnswer: -2*(z - 1)**2*(z + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -312 + -15?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 34. Calculate the least common multiple of v and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 9. Let l be (-6)\/6 - 6*b. Suppose -l = 5*d - 154. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)*2 + 4 - (0 + sqrt(245) + -1)) + 0 + (5*(-2 + sqrt(245)) - 4*(sqrt(245) - (sqrt(245) + 2 + sqrt(245)))))**2.\nAnswer: 420*sqrt(5) + 24509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 4*j + 4*j - 3)*(-4 + 2 + 4 - 2*j) - 26*j**3 - 13*j**3 - 17*j**3.\nAnswer: -60*j**3 + 4*j**2 + 6*j - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.07 - 0.11?\nAnswer: 2.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -27, -7 in descending order.\nAnswer: -7, -8, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2346551506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -172, -170, -154, -118, -56, 38, 170?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -95*n**4\/4 - n**3\/3 - 93*n**2\/2 - 2*n + 276. What is the second derivative of g(a) wrt a?\nAnswer: -570*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21895121 or -43790239\/2?\nAnswer: -43790239\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*u - 0*u. Let a = 3 - -1. Solve 0 = -u*v + a*v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35.5 + -21.4. Let n = 15 - k. Let q = 1.9 - n. Which is the nearest to -0.6? (a) q (b) -0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 71 = 5*s, 2*n - 8909 + 8860 = -7*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10209814 - 10209814 + 3*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 10 + 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-672)\/(-98))\/((-2)\/(-7)). Is 128\/a - 5 - (-33244)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40054641 and 513?\nAnswer: 360491769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 671074?\nAnswer: -11\/335537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 81*m**8\/28 + 41*m**4\/4 - 179*m - 103. Let c(g) be the first derivative of s(g). What is the third derivative of c(w) wrt w?\nAnswer: 19440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -4 - 19) + (3 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from upqnqxm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 7. Let j be z(4). Suppose 26 + 1 = j*n. Suppose -l + n = -5*w + 126, 63 = 2*w + 5*l. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39942312 is divided by 105?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2464 and 179872.\nAnswer: 179872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in -0.6, 1, 0.3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15745779 is divided by 47427.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) 2\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*d**4 + 888*d**3 - 256*d**2.\nAnswer: 4*d**2*(d + 32)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5982631?\nAnswer: 67, 89293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/2233)\/((-11)\/(-77))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + (15 - 12) + -1 + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-44 + 0 - (80 + -70 - 10))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 713765 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*f**5 - 828504*f**4 + 967965*f**3 + 1513950*f**2 - 270573*f + 11514 = 0 for f.\nAnswer: -1919, -1, 1\/12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003237121 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249891743.\nAnswer: 19, 2339, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 510797 (base 11) in base 15?\nAnswer: 113334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbb when three letters picked without replacement from jggjjjgbgbbbbgggbgg.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 21294993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26, 7, -38, -121, -254, -449, -718?\n\"Answer: -2*a**3 - a**2 - 2*a + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6307, -6288, -6247, -6160, -6003, -5752?\n\"Answer: 4*j**3 - 13*j**2 + 30*j - 6328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = -17*g + 2624. Suppose 0 = -f + 2 - 0, -f + 248 = 2*h. Calculate the greatest common factor of g and h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*-1.232452.\nAnswer: 1.6021876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266385306?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**3 - g + 1. Let a(r) = -r**3 + 7*r**2 + 9*r - 7. Let u be a(8). Is d(u) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v + 2*v + 2*v + (-3*v + 2*v + 3*v)*(1 + 0 + 1) + 0*v - 2*v + 3*v - v - 2*v + 2*v + 31*v - 1 + 5 - 35*v as r + y*v and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 2. Let x(f) = -2*f**2 - 5*f - 607. Determine 5*i(q) - x(q).\nAnswer: 2*q**2 + 597","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11*(-36)\/(-264))\/((-66)\/8).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 567866324 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**6 + q**4 + q**2 - q. Let x(f) = f**6 + 5*f**4 + 6*f**2 - 5*f. Let s = 9 - 4. Let l(d) = s*p(d) - x(d). What is the third derivative of l(a) wrt a?\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 - 6446 = 717*o - 10*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i\/((i*i*i*i**(-3\/5)*i*i)\/i)*i))\/(i**2\/i))**(2\/13) assuming i is positive.\nAnswer: i**(-6\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 0)\/(-2)*-3. Let i(g) = -2*g + 25. Let h be i(10). Suppose -u*c - 46 = -h*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 17, f: 1}. Give prob of sequence uu.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 2. Let u be r(7). Calculate the common denominator of -2 - ((-34)\/(-18) + 10\/u) and -103\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-1)\/(-6)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-21)*t**(1\/8) assuming t is positive.\nAnswer: t**(-159\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by -4*((-12075)\/30)\/23?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530824 is divided by 4615?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6700 and 187600.\nAnswer: 187600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344264*w**2 + 344264*w**2 + 4543*w**3 + 1761*w**3.\nAnswer: 6304*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -456\/11 - 450\/11*m + 6\/11*m**2 = 0.\nAnswer: -1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*b - d, -2*b - 4*d = -7*b + 40. Suppose -3*t = -b*t. Is t equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**6\/120 - b**5\/60 - 7*b**3\/6 - 10*b**2 - 1. Suppose 4*g = 3*g. Determine u(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -14*v + 15*v. Let g be -3*1 + v + 21\/(-7). Solve 2*q - 8 = g*f, -4*q - 28 = f + 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.248*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001101 - -10001?\nAnswer: 10011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/308 in 2, 23\/21, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19\/24 - -1\/8. Let y = -26 + 36. Let h be (24\/90)\/((-4)\/y). What is the closest to h in -1, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s + 16 - 72 = 45*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 2 - 4\/2. Let i be g*1*2\/22. Let y = 5133 - 5132. Which is greater: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 18, 20, 20, 18, 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 10 + (47 - 47) + (1 - -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 divided by 27?\nAnswer: -127\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z + 9*i - 4*i - 25 = 20*z, -3*i = -8*z - 12*i + 71 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 3*v**2 - v + 1. Let f be a(2). Suppose 0 = 13*d - 14*d + 4. Suppose -24 = f*x - d*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.78184 + -3512559580.\nAnswer: -3512559578.21816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -0.0555466966.\nAnswer: -0.4555466966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (7 - 9) - 25\/(-23).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfevh. What is prob of sequence ev?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 121703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 15, g: 5}. What is prob of picking 3 g and 1 v?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0073 plus -72.5?\nAnswer: -73.5073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 0.2, -1.3, 0, 9 in descending order.\nAnswer: 9, 0.2, 0.05, 0, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16920\/2*1\/46. Let f = r + -184. Let j be (-9)\/(-4) - 2\/8. Sort j, f, -5 in decreasing order.\nAnswer: j, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*t**2 + 0*t**3 + 3*t**3 - 5*t**3 to f + q*t + r*t**3 + n*t**2 and give n.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3, -2\/3, 0.57?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 19 = -3*c, -4*c + 4 + 14 = 3*n. Suppose 2*z + 3*b - 24 = 0, -z = -0*z - n*b + 2. What is the tens digit of 10\/30 - (-106)\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8968)\/(7 + 69))\/(1 + 1).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 46, -50649?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18370044 to the nearest integer?\nAnswer: 4286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7216 is divided by 1408?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**5\/12 + 15*v**4\/8 - 2*v**2 - 35. Let m(q) = 0. Calculate q.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m**3 + m**2 + 2*m + 2. Suppose 6*p - 5*p + 3*i = -2, 2*i = p - 8. Is a(p) 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 -32214, -32302, -32390, -32478, -32566?\n\"Answer: -88*v - 32126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -53*z**2 - 3*z - 3. Let n be j(-2). Let m = n - -355. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-1))\/((-5)\/(-7)))\/((-6)\/10)\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86543038049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z - 630 = -33*z. Is ((-164)\/6)\/((-20)\/z*-3) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2 - 2. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -313.32 times -48?\nAnswer: 15039.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 1088*j**3 - 6*j**2 + 6*j + 24. Let a(f) = -1863745*f**3 + 10279*f**2 - 10279*f - 41116. Give -6*a(q) - 10279*y(q).\nAnswer: -1082*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + l + 8, 5*b = -l + 4*l + 3. Let a(o) = 3 - 1 + 14*o - b. List the prime factors of a(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 13*n + 16. Let u(w) = 4*w - 5. Calculate -7*u(k) - 2*x(k).\nAnswer: -2*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (208*r**2 - 97*r**2 - 41*r**2)*(-4 + 4 + 1).\nAnswer: 70*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*t - 61 = q, 2*q + 3*t = 45. Let m be ((-6)\/2)\/(q\/4). Which is the nearest to 1? (a) -1\/2 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 15 + 2*f**3 - 3*f**3 + 2*f**3 + 3*f**3 + f**3 + 2*f - 2*f - 4 + 4 - f**3 + f - f + f**3 + (-4*f**2 - 2*f**2 + 5*f**2)*(1 - 2*f - 1).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 2*x - 6, 2*x - 9238*u - 6 = -9236*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 2)\/(0 + 1). Let o be -3 - -3*(-1 + u). Suppose o*n = n - 11. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56566495 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 13 = -2*r, 0*j - 79 = 12*j - r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-1 + -14 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1bb31 - -2?\nAnswer: 1bb33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/4 + 2\/(-8). Solve s = j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1214215998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (51 - -24)\/(1\/3). Suppose -17*m + 2*m + q = 0. Calculate the remainder when -1 - 29\/(-1)*2 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.88 + 3.08. Which is the nearest to s? (a) -4 (b) 0 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10138968 divided by -80468?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (416*p**2 - 235*p**2 - 278*p**2)*(0*p + p + 0*p)*(-3 - 4 + 10) + (-2*p**2 - p + p)*(-2*p - 5*p + 2*p) as i + x*p + l*p**3 + t*p**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 311\/5 + -62. Let f = 2.3 + 0.7. Which is the second smallest value? (a) r (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 765\/(-405) - (-2)\/(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 3*r**2 + 2. Let t be v(-3). Let w be (t\/10)\/(42\/10). Let g = w + -5\/7. Which is the closest to 0? (a) 3 (b) g (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -13*j**3\/6 + 1779*j**2\/2 - 60*j. What is the derivative of h(m) wrt m?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 41. Suppose 3*c = 3*x - 4*x - l, -4*c = 4. List the prime factors of x\/4*2*-9.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3\/3 - 6334*p**2 + 8*p\/3 + 25336 = 0. Calculate p.\nAnswer: -9501, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 3*p**5\/10 + 3*p**3 + 81*p**2. What is the first derivative of o(j) wrt j?\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 34\/5*(-30)\/(-36). Let v be (-1)\/6 + (-344)\/(-16) + -20. Factor -3\/2*k**2 + v + h*k.\nAnswer: -(k - 4)*(9*k + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 588 = -5*k + 292, -173 = -k + 4*x. What is the highest common factor of 118 and k?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/228 and 2\/9.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -5. Let k = t - -32. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, r: 4, w: 6}. What is prob of picking 1 w and 1 u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21887 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(18)\/sqrt(3)))\/sqrt(3).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 74*g - 2 - 75*g - 7 - g - 2*g - 3*g + (-1 + 4 - 4)*(7*g - 9*g + 12*g).\nAnswer: -17*g - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -164 + 159. Sort 4, -1, p in decreasing order.\nAnswer: 4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010100 + -11100?\nAnswer: 1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 0.2, 17.\nAnswer: -3, -2, 0.2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -0.6 (c) 2\/187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h - 30. Suppose 0 = -6*r - 50 - 28. List the prime factors of l(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3117397988 to the power of 1\/3, to the nearest integer?\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1. Let f(l) = -l - 5. Let o(q) = -f(q) + 4*p(q). Let k be o(3). Let w be 2\/k + (-81)\/(-6). What is the greatest common divisor of 112 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*g**2 + 125*g**3 + 1 - 70*g**3 - 1 + 4*g - 2*g**2 wrt g?\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4, 4, 1146, -0.773?\nAnswer: -0.773","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*r - 12 = 0, 7*i - 2*i + r - 11 = 0. Solve -11 = -f - 3*s - 3, 22 = 4*f + i*s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from rrrmremrrmrmeerrere.\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*x - 3*x - x to l + b*x and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3063410 is divided by 180?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 8*t**2 - 6*t + 10. Let p(d) = d**2 - 5*d - 3. Let r be p(4). Let k be i(r). Solve -k*y + 4*z = -0*y - 26, -y = 2*z + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 393 + -1.22\nAnswer: 391.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 4 - (-1 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 360, 1007, 2236, 4233, 7184, 11275?\nAnswer: 16692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 59 + 136 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r - 104 - 40 = 0. Let o be (r\/(-14))\/(14\/98). Solve 3*p = -o - 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7057 to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 6:33 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8794 and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 295 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -204211*n**6 - 7*n**2 + 2*n - 5128 wrt n?\nAnswer: -24505320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21657989 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 12:54 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -14. Let n = 6 + 11. Solve 4*d = -o - 11, -n = 4*d - x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3250351 (base 6) to base 5\nAnswer: 20142024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**4 + 2*a**4 - a**2 + 0*a**4)*(-5572*a + 5542*a - 5086*a - 3979*a - 23181*a).\nAnswer: 64552*a**5 + 32276*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1319*z + 521*z + 403*z + (0 - 3 + 4)*(-2*z + 4*z - 3*z) to the form l*z + x and give l.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + f**3 - f**3)*(-3*f + 3*f + f) + 2 - 6 + 4*f**4 + 5.\nAnswer: 3*f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001006430278 to 5 dps.\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) -4 (c) 0.4 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -3, 71.\nAnswer: -3, 3, 4, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107 - -62. Calculate the remainder when v is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136549 is divided by 864?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269618?\nAnswer: 2, 113, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 49*t**2 - t - 53. Suppose 67 = 7*k + 410. Let d be v(k). Let n(b) = 4*b**2. Let p(a) = 3*a**2. Calculate d*p(w) + 5*n(w).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 25 = -5*f, -j + 5*f + 0*f - 1 = 0. Let w be (-2)\/j - 38\/(-4). Let m(o) = o**2 + 2. Let h be m(-5). What is the highest common divisor of h and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 12*y**2 - 780*y + 4856. What is k(58)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2. Let c(f) = 2*f + 1961. Calculate q(c(k)).\nAnswer: -4*k**2 - 7844*k - 3845521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/25*(-120)\/(-12)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaijaaajaajiia. Give prob of picking 1 a and 1 i.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 9 - (-8 - -27)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-3)\/6)\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6077 + 4010. Let r = 2907 + d. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 - 0.11?\nAnswer: -81.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*d - 26 + 2, 4*k - 2*d = 20. What is the smallest common multiple of k and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2 - 32*u + 80 = 0. Calculate u.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 2:37 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 3) to base 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b + 4. What is o(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y - y)*(0 - 1 + 4) + (-3*y - 5*y + 6*y)*(5 - 3 + 0) - 3*y + y + 0*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 8*m**2 - 3*m - 3. Let t be p(8). Let j = -3 - t. Suppose -l + 3*l - j = 0. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2547 is divided by 181?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 802*d = 3966*d - 329056 for d.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*q = 12, 3*l - 3*q - 22 - 2 = 0. Suppose n = -2*n - l. What is the common denominator of -73\/9 and n*((-15)\/(-36))\/1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - s**2 + 6. What is the least common multiple of -2 - (4 + -10) - -14 and h(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166007, -166006, -166005?\nAnswer: -166004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -22*g - 8. Give u(-4).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.72 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826080.\nAnswer: 2, 3, 5, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/10)\/((-2)\/40). Let c be a*2 + -3 + 3. Suppose -3*z + c = z. Solve 3*r + 7 = -4*b + 6*r, -z*r = -4*b - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from yvc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**2 + 4*j - 4. Suppose 4*n - 8*n = -16. Let h(a) = -7*a**2 - 5*a + 5. Determine n*h(i) + 5*o(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*k = 411*k + 248 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(2\/3)))\/w*w\/(w**9\/w))\/((w*w\/w**1)\/(w\/((w*w**(-2\/7))\/w))) assuming w is positive.\nAnswer: w**(-176\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -129 + 146. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3003*x + 132362 - 132362.\nAnswer: 3003*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - -1)*1 - 0\/5. Suppose s - 9 = -d, b*s = 3*d - 0*d + 13. Let v(y) = -y - 7. What is v(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2*y = -14, -5*y + 2561 - 2563 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 12:16 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22548050263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 7:31 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 193891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**14\/n*n**(1\/9)*n assuming n is positive.\nAnswer: n**(127\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 84270.61 millennia?\nAnswer: 842706.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19388 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20160 and 137088.\nAnswer: 685440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s + 3 - 4 - 4. Let n be u(-4). Calculate the greatest common factor of n and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(1815) - (sqrt(1815) - (sqrt(1815) - (sqrt(1815)*-1 - sqrt(1815)) - sqrt(1815)))*2)\/(sqrt(192)*1 - sqrt(48)*-1).\nAnswer: -11*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2473?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4290216, 8580433, 12870650?\n\"Answer: 4290217*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and 4.55.\nAnswer: 118.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.24, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1053 - -516. Let p = z + 541. Let v(y) = -y**3 + 9*y**2 + 9. Let j(n) = n**3 - 10*n**2 - n - 10. Let l(a) = 4*j(a) + 5*v(a). What is l(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-12) + -3)\/((-1)\/(10\/5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 43386.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/12 + ((-958)\/12 - 0). Let h = -70 - z. Suppose -5*u = -13 - 12. Calculate the highest common factor of h and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*a + 15, 2*a - 20 = -4*r + 4*a. Suppose -5*c - 14 = -3*s, -r*s + 4 - 22 = 2*c. Put 1, c, -3 in decreasing order.\nAnswer: 1, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-8)*1\/(-5).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 10*t + 27*t + 5 - 5 - t + (2 + 0 - 1)*(-t + 4*t - 4*t) - 3 - 2*t + 3)*(-3 + 6 - 2)*(4 + 0 - 3).\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -418.8 + 415.8. Which is the nearest to j? (a) 6 (b) -1\/7 (c) -3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 19. Let a(b) = -1. Let t(u) = -a(u) + n(u). Let i be (-34)\/8*(5 - 6)*4. Let p be t(i). Do p and -2\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 11*l**2 + 26*l - 12. What is b(13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -7. Let t(k) = -k + 1. Let o(r) = -1. Let w(j) = o(j) + t(j). Let n(b) = -b**2 - 5*b. Determine z*w(q) + n(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 40. Let h be d(0). Let c = 4 + -42. Let p = c + h. Is 1\/6 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 298 (b) 2 (c) -0.5 (d) -5 (e) -2 (f) 7\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 12*x + 2. Determine k(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41472?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -1176785\nAnswer: -6\/1176785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2 + 896968*t + 8969880 = 0. Calculate t.\nAnswer: -10, 448494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/205*(-4)\/(-1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*t + 32, 0 = -3*v - 2*v - 4*t + 66. Let p be v\/98 + 7418\/14. What is p rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 310573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 - 1)*(0*q + 3*q - 2*q + (-4 + 5 + 1)*(4*q + 0*q - 2*q) + 3*q + 0*q - 4*q - 1 + 1 - q + q - 2*q + 2*q - 3*q + 6*q - 4*q) as l*q + p and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3714 + -3669. Solve 0 = 4*b - 13*b - p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3 - (-2 - -1)) + 13\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 4:47 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2247\/1804 + -2\/451. Let p(l) = -4*l + 15. Let h be p(5). Which is the second smallest value? (a) y (b) h (c) 2\/19 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from immiii. What is prob of sequence iim?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q. Let m(s) = 7*s + 10. Determine z(m(j)).\nAnswer: 35*j + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 28, 9522 in decreasing order.\nAnswer: 9522, 28, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**4\/6 - 11*d. Let j(q) = -2*q**2. Calculate j(f(i)).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -37, 3\/10, -1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = v - 3*m + 123, -2*v - 3*m + 85 = 0. What is the lowest common multiple of 88\/14 - (-26)\/(-91) and v?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46102448 divided by 1498?\nAnswer: 30776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -605*m**3 - 1401?\nAnswer: -1815*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 484886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-8))\/o*o*(o**20*o)\/o*(o\/((o**(9\/2)\/o)\/o))\/(((o\/(o**(3\/2)\/o))\/o*o)\/o) assuming o is positive.\nAnswer: o**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80881?\nAnswer: 29, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*g = 87, -4*g = 4*p + 9 + 307. Let q be 2\/(-4) - p\/126. Suppose 2*l - 1 = -3. Is q at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2 + 9 - o + 0*o. Let r(p) = 2*p**3 - 18*p**2 - 34*p - 91. Let i be r(11). Determine k(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16296 is divided by 16241.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnogognngggnsg. What is prob of picking 1 g and 1 o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.37 + -210.37. Let o = -0.0087601 - 206.7902399. Let h = o - z. Round h to two dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -14 and -1065\/79 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124 + -128. Let u(y) = 4*y**4 - 4*y**3 - 41*y**2 - 11*y - 11. Let s(b) = b**4 - b**3 - 14*b**2 - 4*b - 4. Let t(v) = q*u(v) + 11*s(v). Factor t(m).\nAnswer: -5*m**2*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 5*h + 43. List the prime factors of c(-14).\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5*y = 10, 0*n - 2*y + 23 = -3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 3*z - 6*z + (-4 - 1 + 2)*(0 - z + 0))*(-2 + 0 + 1).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 13*i - 15. Let z be 4*((-4)\/(-2) + -3). Is i\/z - (-9)\/(36\/4223) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7637 and 2182?\nAnswer: 15274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*n + 31 - 103, 0 = 4*n + j - 101. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 14*d**2 + 12*d - 6. Let s(k) = 5*k**2 - k - 1. Calculate the lowest common multiple of m(-13) and s(4).\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/4401780 and -101\/240?\nAnswer: 17607120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 24*t**2 + 57*t + 143. Determine l(-26).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/21 - (-368)\/(-14). Suppose 2*y + 84 = -3*n, 2*n + 3*n + 215 = -5*y. Let z = v - y. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-162)\/8)\/((-12)\/32) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(((-312)\/39)\/16)*(-10)\/(-6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -4, -3\/7.\nAnswer: -7, -4, -3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*r = -16, 0*r - 32 = -2*s - 2*r. Let t(a) = 3*a**2 - 18*a + 5. Calculate the smallest common multiple of s and t(6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = -21500 - 4804. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = -4*r - 44*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(0*f - 2*f + 4*f) + 297*f - 1519*f - 1443*f + (0 - f + 0)*(-4 + 1 + 1) + (-1 + 4 - 1)*(-f - 2*f - 2*f) as v + t*f and give t.\nAnswer: -2677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 563, 579, 603, 635, 675, 723?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*2\/(-11)*(-374)\/34.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(-4)\/c)*c**(-3)*((c**3\/c)\/c)\/c**(-3))\/(c**(3\/10)\/(((c**(-1\/2)\/c)\/c)\/c)*c**(-4)\/(c*(c\/(c*c*c\/c**4)*c)\/c)) assuming c is positive.\nAnswer: c**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21, 142, 487, 1170, 2305?\n\"Answer: 19*d**3 - 2*d**2 - 6*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110 - 108.5. Let h = u + -1.6. Which is the biggest value? (a) 1\/5 (b) -4 (c) h (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-42))\/((-126)\/(-588))*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.8 + -3.5. Let z = f - -5.7. Let o = z + -7. Which is the nearest to -0.1? (a) 5 (b) 4\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84745849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 3, -1\/8, 4994?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(99)\/(sqrt(9) + sqrt(9)*1 + sqrt(9))).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 2:05 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**3*h**2 - 2*c**3*h + 1462*c**3 - 7117*c**2*h**2 + 45*c**2 - 158*c*h - 2035*h**2 wrt h?\nAnswer: -10*c**3 - 14234*c**2 - 4070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1126*f - 22. Let r(y) = -1126*y - 19. Calculate 6*a(t) - 7*r(t).\nAnswer: 1126*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**3\/6 + 45*o**2\/2 + 3*o - 439. Calculate j(19).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 23*k**5\/60 - 3*k**3\/2 + 7*k**2. Find the first derivative of m(r) wrt r.\nAnswer: 46*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 9*r = 33*r - 256360. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 2*z + 0 + 0*z**2 - 7\/6*z**3. Let l(k) = -9*k - k + 4*k + 7*k. Give l(j(r)).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -417867791 * 0.1.\nAnswer: -41786779.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 3790998*s + 3790996.\nAnswer: 2*(s - 1895498)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -91*t**3 - 3*t. Let x(f) = f. Calculate -u(j) - 3*x(j).\nAnswer: 91*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 6:04 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55448096 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - sqrt(18))\/sqrt(9) + (sqrt(8)\/(1*sqrt(4)) - sqrt(2)) - (sqrt(32) - (sqrt(32)*2*6 + sqrt(32)))**2)*3.\nAnswer: -13824 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t**2 + 3*t**2 - 4*t**3 + 2 - 2*t**3 - t**3 to d*t**3 + l + u*t**2 + j*t and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5396675 less than or equal to 21586695\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9128 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 33\/5 of a millennium?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -13591\/4142?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -438119\/18844 - 1\/4711. Calculate the common denominator of 5\/2 + 152\/(-760) and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*2\/(-8) + (17 - 16). Let q(s) = 8*s**2 + 2*s - 2. Let b(p) = p. Give w*q(l) - 2*b(l).\nAnswer: 8*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**3*b**(-2\/17)\/b assuming b is positive.\nAnswer: b**(-53\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34422 + -22730. Is y a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 6:43 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.49 plus 0.0282261?\nAnswer: 9.5182261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/1*(1 - 8). Let o be (-5 - z) + -1 + 1. Suppose -b - 3*g = -4, -2*g + o + 1 = b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-33))\/((-3)\/(-6)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -200544008571 and -4.\nAnswer: -200544008575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 49161, 99792, 150423, 201054, 251685?\n\"Answer: 50631*b - 1470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-8)*2)\/(10\/(440\/(-11)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 10636852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 323201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13658 + -13658. Solve 4*q - h - 47 + 72 = y, 0 = -3*h + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/10)\/(1\/(-5))*75\/(-1725)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -450 - -446. Let c be ((-4)\/(-24))\/(4\/(-8)). Put 2, c, 0.037, y in ascending order.\nAnswer: y, c, 0.037, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-21)*(-1694)\/770*-15?\nAnswer: -66\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 40 = -5*u. Suppose u*j - 671 - 97 = 0. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 3, g: 3, e: 2, z: 7, d: 2}. Give prob of picking 1 e and 1 d.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37683 - 3521 = -827*v - 275*v for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/8*-2)\/(2*(-45)\/20)*34?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b**2*i*t + 28*b*i**3*t - b*i**2*t - 46*i**3*t + 12*t wrt b.\nAnswer: -6*b*i*t + 28*i**3*t - i**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -26. Let b = 14 + n. Solve b = i - 6*i - 3*z + 5, 0 = i + 4*z + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111011 + -100111001100?\nAnswer: -100100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 3, b: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 7*g - 5. Let t be p(6). Is 224*(t\/6)\/((-3)\/(-9)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*sqrt(112)*2.\nAnswer: -120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -65, 111, -0.3, -3?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 2:35 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 15*w**2 + 10. Is z(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756) + sqrt(21))\/sqrt(7) + ((2*sqrt(33) - sqrt(33)) + sqrt(33))\/sqrt(11) + -4*sqrt(675)*1 + -4.\nAnswer: -51*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4008 divided by 501.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -74328.97, 0.06, -1?\nAnswer: -74328.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 8:35 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -619 in ascending order.\nAnswer: -619, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4 + 63\/18. Suppose -5*c = -n + 11, 3*n + n + 3*c = -25. Let b(m) = m**3 - m + 3. Let q be b(0). Sort q, f, n in descending order.\nAnswer: f, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3752 and 3750 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, -16, -2\/15, -7, -28?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -156 - -169. Let a(h) = q*h + 13*h - 38*h. Let f(n) = 4*n. What is f(a(z))?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 25 = -4*m + 2*m, 0 = 4*m - 4*w. Let s be -2*((-4)\/1)\/(-1). Let d = m - s. Solve i + 2 = d*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 1. Let p be 4\/(-3)*(-9)\/6. Let c be g(p). Let j(z) = 19*z**2 - z + 1. Calculate the remainder when j(c) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1222 = 18*y - 5852. Calculate the remainder when y is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5*w = -1274672 + 1274597, -15 = 5*w for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25, 70, 195, 442, 853, 1470, 2335?\n\"Answer: 7*c**3 - 2*c**2 + 2*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27304 + -26240. Calculate the smallest common multiple of a and 266.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -9 - -29) + 1 - (7 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4137966 divided by -3?\nAnswer: 1379322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(4) - (sqrt(4) - sqrt(64)*3)).\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 12 = 0, -3*s - 2*s - 7*z + 27 = 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353786849.\nAnswer: 13, 31, 877883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 196051\/150 - 1307. Let i(v) be the third derivative of d*v**5 - 1\/30*v**4 + 0 + v**2 + 0*v + 1\/15*v**3. Factor i(p).\nAnswer: 2*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22284 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 31 = 3*w - 73, 4*t = 12. Which is the smallest value? (a) -0.024 (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/(-84))\/(-1))\/((-26)\/(-104)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5944*q**3 - 2971*q**3 + 4 + 2*q - 2971*q**3)*(-4*q**2 + q**2 + 4*q**2 + (-q**2 - 5*q + 5*q)*(-1 - 2 + 1) - 2*q**2 + q**2 + 0*q**2).\nAnswer: 4*q**5 + 4*q**3 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -602 or -604?\nAnswer: -604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 739 = 12*f + 643 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/47 (b) 1\/2 (c) 0 (d) -0.4 (e) -0.71 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*4\/(-66) + 2780\/44. Calculate the greatest common divisor of 21 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - i = 14, 3*s - 5*i + 77610 = 77644 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 298203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138*z**5 - 90*z wrt z?\nAnswer: -2760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/21*(-8540)\/2440?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1856\/(-72))\/(-4) - (9 - (6 - 3)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, -8, -16, -26, -38, -52, -68?\n\"Answer: -i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -46. Put r, -3, 17 in increasing order.\nAnswer: -3, r, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24916.\nAnswer: 2, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 196, -5 in increasing order.\nAnswer: -5, 5, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 + j + 1. Let g = -79 + 78. What is x(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -146 and 61190.\nAnswer: -8933740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1835 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 1288\/9*i + 2\/9*i**2 + 207368\/9 = 0. What is i?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*j + 5 = 0, -2*y + 3 = -3*j - 10. Suppose 0 = y*d - 11 - 15. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3386533 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.001748 and 6.\nAnswer: 0.010488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -0.11 (c) 1\/7 (d) -1\/196\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/33)\/h)\/(h*h\/(h**(-1\/5)*h*h*h*h)*h))\/(h\/h**(2\/5))**23)\/(h**(-5)*h*h*(h*h**(-1\/7))\/h*(h**(-1\/5)*h)**(3\/23)) assuming h is positive.\nAnswer: h**(-289582\/26565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 356174.1l in millilitres?\nAnswer: 356174100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4480589934 and 12?\nAnswer: 8961179868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - -0.2. Let q be ((-3)\/(-54))\/(6\/24). Let d be (3 - 5 - -1)*(30 + -33). What is the closest to d in q, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.731 + 0.179. Let z = 0.51 - q. Which is the smallest value? (a) z (b) 0.2 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0187 >= -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1642*l**3 + 40110149*l**2 - 1443*l**3 - 40110149*l**2.\nAnswer: -3085*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**3 + 5*u**2 - 10*u + 42. Let o be p(6). Let k be 31\/3*o\/405. Factor -612\/5*h + k*h**2 - 3*h**3 + 216\/5.\nAnswer: -3*(h - 6)**2*(5*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1776 - 349. Let c = m + -1438.11. What is c rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 36, 3, -3, -1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 723*w + 3774*w - 9943*w to l*w + y and give l.\nAnswer: -5446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-11 - -7) - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-14) - ((-29923)\/5313 + 3)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 + 99 = 2*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1785*w**4 + w**3 - 1859*w**4 + 0*w**3 - 4*w**4 + 2*w**4 - 2*w**4 + (w**3 - w**3 - 2*w**3)*(-3*w - 4*w - 3*w).\nAnswer: -58*w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4271154*z. Let v(y) = 14*y. Calculate a(v(p)).\nAnswer: -59796156*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 888554479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/5 + 33*k\/5.\nAnswer: -k*(k - 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2169821767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 1, c: 4, q: 2, z: 1, g: 6}. Give prob of picking 2 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.6, 0.5, -8\/3, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6832 is divided by 2274?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3655 less than -3.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 + -44. Let s = 26 - m. Let d(u) = u**2. Let v(j) = -j**2 + 0*j + 0*j. What is s*v(o) + 4*d(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24680, -49357, -74034, -98711, -123388?\nAnswer: -148065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**5\/20 + z**2. Let k(m) be the third derivative of -7*m**5\/60 - 2*m**2 + 7*m. What is f(k(i))?\nAnswer: 147*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*(2\/(-4) - 0). Suppose 3 = 3*s - q. Suppose -3*m = -3, -u = -4*u + 4*m + s. Solve -v + u*v + 3 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6505*j + 24. Let n(b) = -220038123*b + 811828. Let v(x) = 6*n(x) - 202957*q(x). Let k(a) = a. Calculate k(v(d)).\nAnswer: 6547*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 14, 2, -3, 8 in decreasing order.\nAnswer: 14, 8, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13291 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17099*p - 338*p + 18706*p + 1168*p + 13337*p.\nAnswer: 49972*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141 - 1 - 7)*(-99*s**5 - 408*s + 408*s + (-s**3 + s**3 + 2*s**3)*(-3*s**2 + s**2 + 3*s**2)).\nAnswer: 14453*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55 + -26 - 20) + (-1 - -6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 6, 16*j - 8*j - 4 = 2*d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 2 + 2)*(-9 - 3 + 7) + 7*j - 43*j + 8*j to the form a*j + r and give a.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/2804 and -83\/53432?\nAnswer: 37455832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eecebgmgggggegsem. What is prob of sequence gc?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1887 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4773.156 nanograms in grams?\nAnswer: 0.000004773156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - u - 2*u)*(2 + 0 - 4) + u - 2*u + 0*u + 54*u + 23*u - 70 + 71.\nAnswer: 74*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (3 - (5 + (-20 - 2))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52 - -7) + -402 + 288?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 4:21 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d**2 + 5*d - 12. Give y(5).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 599, 272 in decreasing order.\nAnswer: 599, 272, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 19*r + 18. Let a be l(13). Let o = a + 303. What is the highest common factor of o and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/20)\/((7\/(-1))\/196)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 649*w + 5932. Let i be h(-9). Suppose -1 = -t - 3, -s = -4*t - 14. Solve -m + s*m - i = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.62 + -0.38. Let q = 38110\/3 + -12703. Put -4, q, i, -10 in ascending order.\nAnswer: -10, -4, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -217*g + 2. Suppose 5*y + 4 = b, -b - 2 = -3*y - 4. Is z(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18 - (-2)\/(-3)*-6. Calculate the highest common factor of 110 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 8522?\nAnswer: 110786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 9:50 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 94814 divided by -2?\nAnswer: -47407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*t + 68*t - 48*t.\nAnswer: 136*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(1*sqrt(7)) - sqrt(11) - (0 + sqrt(11)*-2))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49483.03 - -49483. Let d = -11 - -16. What is the smallest value in d, v, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -y + 2*r, -151*r = -158*r - 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1536 + 16922\/11. Which is smaller: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 57 - 5 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -250 (c) 1148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5939\/128 or 46?\nAnswer: 5939\/128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/2*2616\/9. Let o = -8730 - -10865. Let x = k + o. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 271204, 0 in ascending order.\nAnswer: -2, 0, 271204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.777952 nanograms in milligrams?\nAnswer: 0.000003777952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -22949?\nAnswer: -22946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4*d = 5*x, 3*d - 21 = 3*x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42.984 + 41.3. What is g rounded to 2 dps?\nAnswer: -1.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 - 4*m**2 + 17)*(4*m**2 - 2*m - m - 3*m**2) as z*m**2 + n*m**4 + k*m + a + i*m**3 and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*p + 41 + 44 - 125 + 38.\nAnswer: -109*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (56\/16 + 1)*(-1 + 3). Solve 3*w - 3 = p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -17*n - 63. What is r(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g - q + 46, -2*g - 4*q = -94. Let j = 135 - g. What is the units digit of (-20)\/j + (-1048)\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -25, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4569 + 4206. Is -358 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 + 4 = 0. Let g be (-2)\/8 + (-50)\/(-8). What is the units digit of 58\/g + f\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 57 = -3*w - 0*w, 5*w = -c + 87. What is the remainder when 66 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 + 690*l**4 + 10*l**2 - l - 8*l**2 - 691*l**4 - 3 as w*l**4 + u*l + p*l**2 + c + h*l**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 0. Let w(f) = -f**2 - 24*f + 4. Let h be w(-24). Suppose 20 = h*i + 4*l, 20 = 4*i - 9*i + 4*l. What is the closest to 0 in i, r, -4\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3)*24\/4. Let z(l) = -l**2 - 6*l - 6. Let n be z(u). Let y be n\/(-10)*(-2)\/2. Put 0.1, -2, y in decreasing order.\nAnswer: y, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(3\/2 - (-13)\/(-8)))\/((-457)\/(-71292)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2321 + -2321. Which is the nearest to -39? (a) y (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k**4\/7 + 4*k**3\/7 - 18*k**2\/7 - 4*k\/7 = 0.\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29 or 22?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -5*i**7\/42 + 2*i**6\/3 - i**5 - 5*i**4\/6 + 25*i**3\/6 - 5*i**2 + 6*i. Factor p(a).\nAnswer: -5*(a - 2)*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7352 = -5*u - j, -u + j + 5882 = -5*u. Let k be u\/56 + (-1)\/(-4). Let i be 15\/(-12)*2*(-50)\/(-5). Which is smaller: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -41\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 12 = -3*c + 5*a, -2*c - 3*a - 6 = 0. Is -4 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 11*d**5\/5 + 6*d**2 + 17. What is the second derivative of x(s) wrt s?\nAnswer: 132*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/3)*w\/(((((w\/((w\/(w\/w**(-4\/11)))\/w))\/w)\/w)\/w)\/w)*(w\/w**(-1\/4))**29)**16 assuming w is positive.\nAnswer: w**(21412\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 - 77?\nAnswer: -77.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjoj when four letters picked without replacement from {o: 1, j: 3, f: 11}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -360 (b) 566\/11 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -186394 = -183228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2 - (6*(-11)\/33)\/(1 + -2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 125 and -6.914802?\nAnswer: 131.914802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 5*x - 1. Suppose 1 - 7 = -v. Let u be z(v). Let h(m) = 4*m - 3. Calculate the remainder when 50 is divided by h(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1363.9 - -1363. Let t = -0.2 + 0.6. Put -1\/3, u, t, 5 in decreasing order.\nAnswer: 5, t, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**3 + 10*i - 2*i**3 + 2*i**2 + 7*i**2. Let x be d(-7). Suppose 4*q - 4*c = x, 4*q + 0*c - 5*c - 28 = 0. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -983 + 1005. Put -2, b, 56\/9 in ascending order.\nAnswer: -2, 56\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -609546\nAnswer: 182863.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0 + 1\/60*i**5 + 1\/24*i**4 + 0*i + 0*i**3 + i**2. Let d(j) = j. Let h be (-24)\/15 + 4\/(-10). What is h*d(x) + 2*l(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 2. Let c be -55 + -1 - (-1 + z). Which is smaller: c or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 1. Calculate the remainder when 1\/(339\/(-114) - z) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 217 + 7. Suppose v = 13*r - 9*r. Calculate the smallest common multiple of r and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54081 is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let l(u) = -u**2 + 25*u - 53. Let t(g) = g + 20. Let m be t(-9). Does 52 divide l(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1160802 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 48?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3896 equal to -3896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 3*s**2 - 5*s - 2. Let a be z(4). Let u be -2*2\/(a\/3). Suppose 5*y - u*y - 21 = 0. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2666659 to the nearest integer?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -5 + 8 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 736.1 + -736. What is the smallest value in i, -53, -4, -0.5?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 512 + 5*k - 512. Let c(m) = -m**3 - 5*m**2 - 2*m - 7. Let f be c(-5). Let t be (f\/(-6))\/(1\/(-2)). Give w(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*d = 440*d - 2232 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 0 = -16, 4*b + 24 = 5*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (47 - -3))*15\/(-2). Let u = q - 388. Solve -u*y = -0*y + 4*j + 6, -4 = y + j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**0)\/(x\/x**(-4\/7)))**(-45)*(x*x\/x**(2\/9))**(-19)*x**(-2\/3)\/(x\/(x\/(x\/(x\/(x*x*x*x**(-1\/12)*x*x)*x)*x))) assuming x is positive.\nAnswer: x**(-3439\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-83)\/(-166) + 12286\/4 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 times 15.88\nAnswer: 206.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1563458?\nAnswer: 2, 13, 60133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least -25.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1732, -4356, -8766, -15856, -26520, -41652?\n\"Answer: -149*m**3 + m**2 - 1584*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 218*l**4 - 83842*l**2 - l + 12226681 wrt l.\nAnswer: 872*l**3 - 167684*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**3 + 4*p - 2*p**2 - p**3 + 3*p. Let y be q(6). Suppose 5*g - 2*g - y = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h = 18*h + 6. Let b be h\/(3 - 4\/2). What is the closest to -1\/4 in b, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 44. Suppose o*n - 6*n = -522. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**5\/60 - n**4\/24 + 5*n**3\/6 + n**2. Let q(g) = -g + 9. Let m be q(9). List the prime factors of b(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/53 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-1159)\/95)*-25*3\/(-6)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from uetisixituuest.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (30 - (3 - -36)) + -38 + -5 + (2 - -1)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -261\/5 (c) 3 (d) 1\/4 (e) 0.494 (f) 4 (g) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 8*l - 7. Suppose 7*f + 38 - 66 = 0. Suppose 35 = -5*z + f*j, 0 = -2*z - z + 2*j - 19. What is the units digit of u(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/15)\/x)**(-47)\/(x*x*x*(x*x**11)\/x*x*x*x*x*x\/(x*x*(x\/(((x*x**(2\/43))\/x)\/x))\/x)) assuming x is positive.\nAnswer: x**(24007\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -25*i**3 - 348*i**2 + 23*i - 30. Determine o(-14).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -z - 770. Suppose -48*g - 8834 = -z*g. What are the prime factors of g?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24*(-12)\/(-48)*44\/154\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4991487.\nAnswer: 3, 53, 31393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 112?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 5 + 1\/42*g**7 + 0*g**2 + 0*g**5 - 37\/12*g**4 - 1\/30*g**6 + 2*g + 0*g**3. Find the third derivative of k(y) wrt y.\nAnswer: 60*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r - 15. Suppose -5*s + 59 = 4*x + 5, 3*x - 53 = -r*s. Suppose 9*y - 76 = 14. What is the greatest common divisor of s and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2382 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + 2 + 6 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(12\/10))\/((-2)\/22). Let q = -50 + s. Suppose -47 = -q*u + 3. Solve -2*h + p - u = 5*p, h + p = -1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 10*x - 15. Let p be h(9). Let a(m) = -m - 1. Let l be a(p). Suppose 0 = -l*w + u + 800, -5*u + 3*u = -w + 151. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyyll.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 376 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -56*x**2 - 835*x + 80. Give t(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -612411 - -135?\nAnswer: -612243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 5 (b) -1 (c) 37 (d) 5\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -1, 4 = 5*y - 4*y - j. Suppose y*i - 9 = 24. Let d be (1 - 0) + (-599990 - i). Round d to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p - 17*p = -10*p + 285. Let x(o) = 689999*o + 7. Let u be x(7). Suppose -p*y + u = -4*y. Round y to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 1)*(-25*k + 22*k - 2 + 4) to y + a*k and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91836 + 5423. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 45*s**2 + 102*s - 139. Let r be p(47). Calculate the highest common divisor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 3283.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 8. What is the smallest common multiple of 20 and 1 + (43 - 4)*v?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-348*f**3 + 5 + 169*f**3 - 162*f + 161*f)*(-3*f + 0*f - 4 + 0*f) to the form k*f**2 + d*f**3 + j*f + n + c*f**4 and give c.\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*4\/16)\/(1\/26). Suppose w*y - 26 = 13. Solve 2*u = 4*d - 18, 4*u - y*u - 5 = -5*d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-12) + (-125)\/(-30). Suppose 5*l + 41 = 3*b + z*l, 0 = 4*b + 5*l - 23. Solve b = -4*d - 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/590 and -17\/1120.\nAnswer: 66080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 3)\/(1 + -7). Let d = -2 + 2.5. Which is the biggest value? (a) -2 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(21)\/sqrt(3) + sqrt(7)) - (sqrt(7) + (2*sqrt(84))\/sqrt(12))) + -3)**2.\nAnswer: -54*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15975 - 15976 - 542*i + 67*i + (-i - 5*i + 5*i)*(-6 + 2 - 2).\nAnswer: -469*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 140?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*n + 201*n - 24*n)*(8 - 8 - 24*n).\nAnswer: -5496*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 5:03 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 1129 + 1129 + 5*b**2)*(254*b**2 - 67*b**2 + 83*b**2).\nAnswer: 1350*b**4 + 1080*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11373*1\/(-6)*-2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 57868\/2737*(-525)\/(-2). Calculate the highest common divisor of 300 and j.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47823?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*p**2 + 19*p - 10*p - 9*p)*(-p + 0*p + 3*p)*(-32 + 21 - 38)*(2*p**2 + 2*p**2 + 2*p**2).\nAnswer: -25872*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1611, -1631, -1651, -1671, -1691, -1711?\nAnswer: -1731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -753 + 756.29. Let q = -1.1 - -4.7. Let a = t - q. Round a to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45497 divided by 3211\nAnswer: -45497\/3211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z = 12. Let a(f) = -4*f**2 - 4*f + 3. Let t(c) = -7*c**2 - 7*c + 5. Let b be -2 - ((-8120)\/(-29))\/(-40). What is b*a(y) + z*t(y)?\nAnswer: y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2253 is divided by 278?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -35, -2 in descending order.\nAnswer: 5, -2, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gfrufffgf. Give prob of picking 3 f and 1 g.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 254?\nAnswer: 1\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 760 - 731. What is the greatest common factor of 1421 and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a - 44 = 8*a. What is the third derivative of -d**5 - 3*d**5 - 6*d**2 + 7*d**2 + 0*d**a + 2*d**4 - 6*d wrt d?\nAnswer: -240*d**2 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6620 - 6624. Which is greater: 563 or t?\nAnswer: 563","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410878 is divided by 68?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 852393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 6*z**2 - 3*z + 2. Let p = 9 + -15. Let v be m(p). Let d = v - 11. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 327*m*s**4 + 119*m - s**4 + s**2 wrt s?\nAnswer: 7848*m*s - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-2 - -6)) + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 6)*((1 - 1 - 1)*(1 - 4 + 1) + 4 + 4 - 6)*(0*t + 3*t - 5*t + (-88 + 149 + 308)*(-4 - 2*t + 4)) to the form k*t + m and give k.\nAnswer: 5920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2430.919 decades to millennia.\nAnswer: 24.30919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6694 - -6699. Let d(k) = k**2 - k - 24. Determine d(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41*47.\nAnswer: -19.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2 - -2)\/((-15)\/90)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 413 and 665048?\nAnswer: 4655336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88190819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3941)\/(-2793) + (11\/11 - 255\/105)\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55620421\/10 - 5550083. Let y = v + -11969. Calculate the common denominator of 31\/18 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4 = 3*r, -2*o - 5*r + 14 = 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -123125 (base 6) in base 9?\nAnswer: -16158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10440)\/6090*28\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1227 + -185. Is 59 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11124663, 22249325, 33373987, 44498649, 55623311?\n\"Answer: 11124662*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-d + d - d + (-4 + 3 + 0)*(0*d + 3*d - 2*d) - 2*d + d - d - d + 0*d - d + 2*d + 0*d - 3*d) - 1 + d + 4*d - 3*d - 46*d + 514 - 514.\nAnswer: -58*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 22*i + 22*i - 38*i + 3*i**2 + 0*i**2 - 45 = 0.\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 348381 (base 9) to base 12\nAnswer: a1317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*x - 16, -3 = x + 5*w + 15. Suppose -5*p + 4*p = 3, -2*t + 5*p = -9. Put t, -2, x in descending order.\nAnswer: x, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 7*h - 10. Let l be y(8). Let t be (1\/(-4))\/(l\/(-8)). Let k(w) = w**2 - 3*w + 1. Let i be k(2). Do t and i have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 32982 = -5*o, 86*o = 85*o + 3*p + 6582. Is o a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 3:04 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/24*21*4. Let j(o) = o**2 - 5*o - 12. Let w be j(s). Suppose 4*l = -w + 74. What is the greatest common factor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 996551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50383466 and 3430.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-88)\/(-14) - (-2)\/(-7). Let v(c) = -15*c + 7 + 5*c - c**2 + t*c. Calculate v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -5, -6, 95.\nAnswer: -6, -5, 2, 3, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(144) - sqrt(36))\/sqrt(12))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 1986 + -5 - -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111854387149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 86307, 172367, 258427, 344487, 430547?\n\"Answer: 86060*f + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -189738 divided by 2?\nAnswer: -94869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 1. Let m(j) = -3*j**3 - 8*j**2 + 5*j + 5. Let x(g) = -m(g) - 4*u(g). What is the tens digit of x(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2 + 2. Let t(r) = r**3 - r**2 - 2*r + 1. Determine t(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, d: 2, r: 4, b: 7}. Give prob of sequence bbr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3*i + 5 + 16*i.\nAnswer: 13*i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 104908?\nAnswer: 944172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**2 - 20*n - 7. Let g be a(-3). Let r = g + 53. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/74985372 and 11\/10437.\nAnswer: 524897604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-2 - -3) - 3. Let o(d) = -6*d**2 - 3*d. Let u = -30 - -35. Let g(f) = 5*f + u*f**2 - 3*f - 2*f + 2*f. Determine y*g(h) - 2*o(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u**2 - u. Is 28 a factor of l(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7721339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 458505578 a multiple of 734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018272 to four dps.\nAnswer: 0.0183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 13*s**2 + 10*s - 6. Let p be n(-2). Solve 1 = 5*t + v + 20, -2*t - 5*v = p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 0 + 2 + 162\/87. Is 1 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*-0.16.\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 276 + -272. Suppose -3*v = -q*k - 0*k - 22, -17 = -2*v + 5*k. Solve -3*l + v = -5*l - 2*r, -6 = 2*l + 4*r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41222 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 4\/9 (b) -6 (c) -0.2 (d) -3362 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*f**2 - 11 + 10 - f + 9*f**2)*(2 + 0 + 0).\nAnswer: -8*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (7843\/(-124) + 40)) + 0\/2.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -12. Let s(x) = -5*x**3 + 40*x**2 + 15*x - 14. Let t(o) = o**3 - 8*o**2 - 3*o + 3. Let u(j) = -2*s(j) - 11*t(j). Is u(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (924\/110 - (3 + 6)) + (-128)\/(-5). Solve -9*o + 5 = -5*o + g, -5*g = 2*o - k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*f**2 - 39*f**2 + 6*f**2 - 2*f**2 + 3*f**2 + 4*f**2 + (f - f - f)*(-1 - 2*f + 1) to the form b + r*f**2 + h*f and give r.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 + 4*h**5 - h**5 + 2*h**5 + h**5 - 4*h**5 + 0*h**5 - 3*h**5 + h**5 + (-3*h**4 + 4*h**4 - 3*h**4)*(3*h - 3*h + h) + 277 - 277 + 14*h**5.\nAnswer: 10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16805312*7\nAnswer: 117637184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 2.\nAnswer: 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*b = 9, -22 = -2*w + 5*b - 1. Let r be -2*1 - (-4 - w). Suppose -797716 = r*m + 202284. What is m rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -m + 4*b + 4, 2*b = -5*m + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726955?\nAnswer: 5, 145391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -844, -1659, -2474?\n\"Answer: -815*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-180) + (0 - 0))*-33?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38065843 to the power of 1\/2, to the nearest integer?\nAnswer: 6170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*y**3 + 152*y**3 - 59*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95654 is divided by 894?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmqr when four letters picked without replacement from qqrrfqm.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -2. Let h = -1 - a. Suppose -412*o = -405*o. Solve y + 1 + 19 = h*g, o = -5*y + 3*g - 32 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*a**3 + 15345525*a**2 - 530371723992*a - 14334382128 = 0.\nAnswer: -1\/37, 69124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzi when three letters picked without replacement from uzdiuuuuzuududnud?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*r - 1 + (2*r - 4 + 4 - 1)*(2 + 9 - 5).\nAnswer: 10*r - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 times -9053\nAnswer: -1176.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1593.367174 and -23952?\nAnswer: 22358.632826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 54828, 109057, 163282, 217503, 271720, 325933, 380142?\n\"Answer: -2*v**2 + 54235*v + 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -610017*t**2. Let r(j) = 2*j**2. Give r(z(g)).\nAnswer: 744241480578*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.6167 millimeters to kilometers.\nAnswer: 0.0000126167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 23769*p + 14136*p - 19722*p in the form o*p + q and give o.\nAnswer: 18183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 8:43 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -98296 divided by -367\nAnswer: 98296\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/289 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/269326 and -51\/4330.\nAnswer: 1346630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16314156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, r: 7, m: 1}. Give prob of picking 1 r, 1 o, and 1 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113 + 104.88. Let v = -0.12 - p. Let u = -10 + v. Is u less than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22e (base 15) in base 8?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 2*k**5\/3 - 5*k**4\/6 + 6*k**2. Find the second derivative of v(n) wrt n.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*k**2 - k + 0*k - 449*k**2 + k.\nAnswer: -243*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 395 - 247. Let j = m - 142. What is the remainder when 64 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2039810 and 42675404.\nAnswer: 40635594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 611 = -4*t, -34 = i - 39. Calculate the greatest common factor of 902 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 6 = 3*n + d, 22 = n + 5*d. Find u, given that 38\/11*u**n - 8\/11 + 16\/11*u + 14\/11*u**3 = 0.\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -365, -1082, -1797, -2510, -3221, -3930?\n\"Answer: d**2 - 720*d + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25, 45, 63, 79, 93, 105, 115?\n\"Answer: -w**2 + 23*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 41300 divided by 8260\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16316)\/(-12))\/(1\/3). Let a = -36751\/9 + y. Find the common denominator of a and -109\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2024)\/(-3542))\/((-78)\/63)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/88 and -25\/36?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -10. Is (0 + 1)*367*t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -59\/5, -0.4, 158\/5, 1\/4 in descending order.\nAnswer: 158\/5, 1\/4, -0.1, -0.4, -59\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 3. Let q(h) = h**2 + 5. Let u(s) = 5*f(s) + 4*q(s). Let a(y) = -y**2 + 3. What is 7*a(j) - 4*u(j)?\nAnswer: -3*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*0.03.\nAnswer: -0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 221, 1, -33154, -1, -5, -2.\nAnswer: -33154, -5, -2, -1, 1, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 13 = 2*u - 58, -153 = -4*u - j. Let v = 92 - u. Let s = v - 29. Solve -s = -2*x + 7*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1245554, 0, -3, -1.\nAnswer: -1245554, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 818314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173*-0.2873268.\nAnswer: 49.7075364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 7*m + 32. Let f be n(10). Suppose f*x = -3*x + 75. Suppose -4*a + 3*a + 89 = -5*y, 3*y = -x. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 123304510?\nAnswer: 123304514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*h - h = 2251, 3*o = 2*h + 1351. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208599.\nAnswer: 3, 31, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**2 - 240 - 2*s**2 + 288 + 0*s**2 to the form y + k*s**2 + f*s and give y.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**9*h)*h**12)\/(h\/h**(-12)*h)**(2\/5))**37 assuming h is positive.\nAnswer: h**(2664\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b - 16. Let q be z(5). Let l(r) = -r**3 + 5*r**2 - r + 7. Is l(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-3))\/(v**(2\/7)\/v)*v**(2\/11)\/(v*v\/(v\/(v*(v**(-6)\/v)\/v))) assuming v is positive.\nAnswer: v**(839\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*r - 128 - 80, -u - 156 = 4*r. Let m = r - -202\/5. Factor 1\/5*i**3 - m*i**2 + 2\/5*i**4 - 1\/5*i + 0.\nAnswer: i*(i - 1)*(i + 1)*(2*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, u: 4}. Give prob of sequence fu.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**5\/60 + x**4\/8 - x**3\/3 - 36*x**2 + x + 1. Suppose 2*z + 39 = -z. What is the hundreds digit of h(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 4*u**2 - 6*u - 3. Let g be b(-4). Suppose 4*v - g = -3*v. Suppose 0 = -t - 4*x + 9, v*x + 6 = -3. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*t + 1786 = -9222 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(3\/9) - 2. Let d(p) = 124*p. Let q(g) = g. Let l(z) = b*d(z) - 186*q(z). Let r(j) = j - 249 + 249. Calculate r(l(x)).\nAnswer: -62*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16312448 + 0.2\nAnswer: -16312447.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 306*a**3 - 377*a + 6. Let t(b) = 102*b**3 - 125*b + 2. Let l(m) = 8*t(m) - 3*z(m). Find the second derivative of l(k) wrt k.\nAnswer: -612*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/15*(4 + 21). Suppose b = -4*d + 5*x, -4*d + 4*x - 10 = -2. Suppose -5*j = 5*z - 90, -5*z + 2*j + 27 + 42 = d. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:53 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 604997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -649372 + 3986393\/6. Let l = -15084 + o. Let b = l + 57. What is the biggest value in b, 3, -3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88171 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -224 - -251. Calculate the greatest common divisor of 432 and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z + 2*z)*(-5 - 2 - 49).\nAnswer: -112*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-522)\/(-60) - 9\/30.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -37 + -2.8\nAnswer: -39.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17909 is divided by 234.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 394840?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4 - 1166*d**3 + 168186*d**2 + 512750*d + 343396 = 0.\nAnswer: -2, -1, 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(128) - sqrt(4)\/(-1*sqrt(2))) + -3 + 0)**2.\nAnswer: -72*sqrt(2) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -368, -750, -3 in increasing order.\nAnswer: -750, -368, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82 and 1886.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(2\/((-4)\/(-3))). Suppose v*o + 11 = -5. Let h(q) be the first derivative of q**2\/2 - 2*q + 818. Determine h(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49*l + 22*l + 60*l - 62 + 74*l wrt l.\nAnswer: 107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 51*o + 1. Let u = 36 + -25. What is the remainder when h(1) is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -135*j - 68. Let a(o) = 27*o + 15. Let l(m) = 11*a(m) + 2*p(m). Let y be l(-1). Determine x, given that 2\/3*x - 1\/3 - 1\/3*x**y = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10327 + 10326. Let a be (-1)\/(3\/6) + 10. Sort a, z, 3 in decreasing order.\nAnswer: a, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1417692, -1417691, -1417690, -1417689, -1417688, -1417687?\nAnswer: -1417686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(112)*2 + sqrt(112) + -1.\nAnswer: -1 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*n = -4*n + 7, -4*b - 3*n + 17 = 0. Let t = -265 - -268. Factor -q**b + q - 2*q - q**2 - t*q.\nAnswer: -2*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-9)\/(234\/(-156))*110\/44.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 453751 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**4\/12 + 4*n**2 + 11*n. Suppose -3*a = 2*a - 15. Suppose 3*g - 3 = 3*f, -3*g + 2 = f + a. Give v(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtqtqqqqqtqqqq. What is prob of sequence qttt?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, c: 2, p: 2, e: 4}. Give prob of picking 2 x and 1 c.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 9*s - 3. Let b be p(3). Suppose 2*d - b - 8 = 0. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**20*g)**0 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10 - 38\/(-5))\/((-4704)\/32928)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1008.99999186 + -1009. Round v to seven dps.\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 9*u - 5. Let n be -11 + 4\/(16\/12) + 0. Let k be c(n). Factor -138*w + 2*w**2 + 45 + k*w**2 + 168*w.\nAnswer: 5*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36.8 + -36.5. What is the closest to 0.1 in -5, l, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -2 - (3 + (-5 - -5)) - 5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7791\/(-28)*(-1428)\/7497?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -8 - -3) + (4 - -5) + (-60 - 0)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 2:28 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6 - (-28)\/(-21)*(-8076)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 2. Let u(c) = -c**2 + 11*c + 8. Let o be u(7). Suppose l - o = -2*l. Calculate the remainder when l is divided by f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 - -1 - (-6 + 10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/1166 and 11\/1908.\nAnswer: 20988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 71?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 373 + -2?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3619 + 15648?\nAnswer: 12029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from otthaotaaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6}. What is prob of sequence cc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46766 is divided by 4365?\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 4, j + 12 + 21 = -9*o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 4*q**2 + 13*q + 7. Let o be b(-6). Let s(t) = -4*t**2 + 2*t - 2. Let d(i) = i**2 - i + 1. Let m = 0 - -2. Give m*d(k) + o*s(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3774 and 1632?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p - 4. Suppose -2*k + 3*h = -13 + 1, -5*h = -k + 13. Determine g(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (377 - 310) + 38 + -18.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a decade?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110664007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + sqrt(660)\/(sqrt(12)*-1))\/(sqrt(5) + -2*(sqrt(5) - (sqrt(5) - sqrt(5)*2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -21. What is the third smallest value in d, -11, -12?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/3023601?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*u = 74312, -2*b + 5*u + 87783 + 60802 = 0. Round b to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -213\/244115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Express -40*f**4 - 3*f**2 + 2*f**3 - 4*f**2 - 4 + 5*f**2 - 55*f**4 + 0*f**3 as b*f**3 + y*f + u*f**2 + x + r*f**4 and give r.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -104432 (base 7) to base 14\nAnswer: -69c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/5)*v\/v**1)\/((v\/(v**7\/v))\/(v*v\/v**(-2)))*((v\/(v*v**(-1)))**2)**(-3\/10) assuming v is positive.\nAnswer: v**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 3*l**2 + 21*l**2.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10626874 or 10626853?\nAnswer: 10626874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 26*c**2 + 25354*c - 200533. Calculate r(-983).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.009 - -0.219. Let h = i - 5.21. Let j = 2705\/17 - 159. Which is the nearest to 1? (a) h (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-10)\/(-60)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409328903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(14\/3)\/m)**(-39)*m**(-3\/17)*m*m**(-4\/19) assuming m is positive.\nAnswer: m**(-45991\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 200*t + 12260. Calculate h(-62).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(416) - sqrt(416)*-2)*1)\/(sqrt(72)*2)*2.\nAnswer: 5 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s - 1. Let r(w) = -w. Let o(q) = -m(q) - 5*r(q). Let y be 4\/4 - (1 - -2). Let h(u) = u**3 + 4*u**2 + 3*u + 1. Let v be h(y). Determine o(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 155*j**3\/3 + 513*j**2\/2 + 133*j. What is the derivative of p(t) wrt t?\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrbb when four letters picked without replacement from rbbrrbr?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6146005026 - -1?\nAnswer: -6146005025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -12, -14?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3337 - 3330. Solve -3*m = -6, 4*v = g*m - 5*m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7625, -30573, -68841, -122429, -191337?\n\"Answer: -7660*r**2 + 32*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 660 = -3*k, -k = 3 - 5. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 x, and 2 i when four letters picked without replacement from {z: 1, d: 3, i: 1, o: 5, x: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/((-9)\/24). Let x(j) = 22*j + 2. Let d be x(k). What is the units digit of d\/(-2)*(-2)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 17 + 6*n**3)*(2 - 4 + 1)*(-2*n**2 - 2*n**2 + 3*n**2).\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -3 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 347578900 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - (-23565)\/(-570) - (1 - 12\/8).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2634075 and 2875575?\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 95965680 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x**4\/5 + 38*x**3\/5 + 2*x**2 = 0. What is x?\nAnswer: -1\/4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 106390, 106400, 106416, 106438, 106466, 106500, 106540?\n\"Answer: 3*h**2 + h + 106386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1346724, -2693460, -4040212, -5386986, -6733788, -8080624, -9427500, -10774422?\nAnswer: -12121396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + -4 + (sqrt(1088) - sqrt(1088)*2) + 1 + -3*(3 + sqrt(272)*2))**2.\nAnswer: 576*sqrt(17) + 9936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 1402785?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 7. Let u be (-1)\/(((-6)\/n)\/(-6)). Suppose -u*c + 79 = 25. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2103108712 to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 n when four letters picked without replacement from enenenteentnneneet.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oodd. Give prob of sequence ood.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -689 + 2*a**2 + 332 - 425.\nAnswer: 2*a**2 - 782","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 198377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1547 = 40*p - 114053. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 27*i**4\/8 + 1012*i**2 - 2. Let r(u) = 15*u**2. Determine r(p(d)).\nAnswer: 98415*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - m + 27, -z - 7*z - 4*m = -60 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/15)\/(11\/(-110))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1983*b**4 + 2*b - 133187 with respect to b.\nAnswer: -7932*b**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34157 - y - 34157 + 3*y - 5*y + 13*y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52436613 (base 7) in base 8?\nAnswer: 20713756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.15 - 17.75. Let m = -19.1 - -19. Which is smaller: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s**2 + 174*s - 1034. Give p(-40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 704 - 699. Solve -58*h + s = -343 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6811*j - 1259. Is u(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*m - 19 = -0*m, -3*j - 5*m = -34. Suppose -j*h - 24 = -84. What is the greatest common divisor of 220 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/11 + 0 - (-217)\/77. Let l be 4 + x + 15\/5. Let h be (l\/4)\/((-2)\/(-4)). Solve h*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o = 27*o - 12. Suppose -12 = -2*b - 3*x, b - 4*b - 2*x = -18. Solve b = o*s - 0*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 1 + 1 - o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 38*z + 63. Let d be u(36). Let m be d + 14 - (-818)\/2. Calculate the greatest common factor of 46 and m.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88802 (base 9) in base 13?\nAnswer: -20ac2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14a - 1?\nAnswer: -14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3 + 676*u**2 - 48834*u + 227520 = 0.\nAnswer: 5, 96, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 9:13 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**2 - 6*c**2 - c**2 + 2 - 3*c**2. Let a(t) = -49*t**2 + 21. Let p(w) = -2*a(w) + 21*d(w). Let q(v) = 6*v**2. Give p(q(k)).\nAnswer: -252*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -8.3, 7\/27, 40 in descending order.\nAnswer: 40, 7\/27, -8.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.9 - -16. Let n = 1 - s. Let l = -2\/535 + 539\/1070. Which is the nearest to n? (a) l (b) -4\/3 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4164411289 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + 34*n**4 - 4*n**2 - 33*n**4 - 2*n - 1 as o*n**3 + i*n + f + r*n**4 + j*n**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 41 - 632*q**2 + 627*q**2 + q - 37. Determine s(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 14012 - 75564 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/270 and -74\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)*3)\/sqrt(7)*-1)\/(sqrt(108)\/sqrt(300)*2).\nAnswer: -15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-1052))\/((-4)\/23937). Let k = -2\/263 - n. Find the common denominator of k and -36\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.192 * 8\nAnswer: 1.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 252 and 3540278.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -156*m + 332*m - 9 - 169*m - 3 + 3*m + 3 + (m - m - 2*m)*(-5 + 1 + 0) to z + d*m and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -168, 0.3, -2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3774 = -14*y + 12*y, -4*y - 18870 = -5*b. Suppose -5*v + b + 76 = 0. Does 22 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52294 by 19.\nAnswer: -52294\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1832 and 5784?\nAnswer: 1324536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3273 divided by -5.\nAnswer: -3273\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1480\/24 - 1\/(-3).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 3631950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from moobn. Give prob of sequence nb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o**3 - 57*o**2 + 101*o - 59. Let m(g) = -5*g**3 + 29*g**2 - 51*g + 30. Let p(y) = -4*i(y) - 7*m(y). Let v be p(23). Solve -v*h = 2*h - 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -117*i + 84*i - 54*i as x*i + j and give x.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(125) + -5 + sqrt(125).\nAnswer: -4 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*b + 13 = -107*b + 160 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l + 2*l + 5 + 3*l - 2*l**2. Let a(t) = t**3 - 23*t**2 + 12*t + 50. Let f be a(23). Let w = 330 - f. Calculate s(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 784 and 224.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3301 divided by -3904\nAnswer: -3301\/3904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -k - 5*d + 2*d, 2*k + 4*d - 20 = 0. Determine t so that -2*t**2 + 0*t**k - t**2 + 6*t**2 - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*g - 14083, -18*g - 23389 = -5*n - 16*g. Calculate the greatest common divisor of n and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2, -3*c + 5*m + 115 = -0*c. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*q + y - 0*y, -5*y + 35 = 3*q. Let h(v) = 8*v**2 + 4*v + 3. Is h(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptp when three letters picked without replacement from ttptpnh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*k - 7*a + 8*a, -109 = 3*k + 8*a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 143?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87121, -87125, -87131, -87139, -87149, -87161, -87175?\nAnswer: -87191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3 = -0*f. Let q(b) = b + 6. Let n be q(-8). Let u be (n + 1 + 1)\/((-9)\/3). Put 2, f, u in descending order.\nAnswer: 2, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/1659?\nAnswer: -1\/1659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 40, 85, 150, 241, 364, 525, 730?\nAnswer: 985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26142353?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b - 4. Let m(p) = 29*p - 12. Let u(j) = 11*h(j) - 4*m(j). Determine u(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0*i + i)*((3*i**2 + 2*i**2 - 6*i**2)*(3*i**2 - i**2 + 0*i**2) - 1754*i**4 - 442*i**4 - 698*i**4).\nAnswer: -5792*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 6*l + 3. Let z be t(-7). Suppose -z = -p + 3*f, -4*p - 13 = 4*f - 37. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12\/67, -3\/23, 2?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 h, 1 l, and 1 u when four letters picked without replacement from {h: 4, x: 1, k: 4, l: 2, u: 3}?\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from oqbb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, 0.3, 0, 14, -0.06 in decreasing order.\nAnswer: 14, 0.3, 0, -0.06, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 + -9 - 93\/(1 + -4). Suppose 5*t + b = 3*b + s, 11 = 4*t + 3*b. Solve 2*o + 10 = t*m - 3*o, 0 = m + 5*o - 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/q)\/(q**0\/q*q)*q**(-1\/2)\/q*q**(-2)*q assuming q is positive.\nAnswer: q**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 equal to 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -2\/17, -5, -1\/2, 0.2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/11 + 1 + (332 - 328)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 2:42 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 3*s + 11 + 16, -3 = -3*s. What is the second derivative of 20*a**2 + l*a + 3*a - 5*a - 13*a**2 wrt a?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -3\/5, -0.009, 3\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*k. Which is the nearest to 0.1? (a) -3 (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 84, 4, 1 in decreasing order.\nAnswer: 84, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 541590, 1083159, 1624728, 2166297, 2707866?\nAnswer: 3249435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 895, 5139, 16675, 39169, 76287, 131695, 209059?\nAnswer: 312045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/19, -30, -2\/3, 1\/1450, -0.3?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 6. Let b(q) = -3*q**2 - 2*q - 2. Let j(t) = 10*t**2 + 7*t + 7. Let d(y) = m*j(y) - 7*b(y). Give d(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 0 - 4\/3*u**3 - 2\/3*u**4 + 2\/3*u**5 + 0*u + 0*u**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10 = -q, -5*q = -2*q + 3*s - 18. Let a = 0 + q. What is the remainder when a is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 924\/340 + (-4)\/(-10)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 327974*f*i*r - 12*f*i + 2*f*r - f - 3*r + 84411 with respect to i.\nAnswer: 327974*f*r - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 265953671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 20*v**2 - 18*v - 12. Let o be l(-16). Suppose -5*q - 3*u + o = -4*u, -4*q + 1040 = 5*u. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2118\/(-48) + (-2)\/(-16). Let g = 59 + x. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**4 - 13 + r + 0*r + 12 as b*r**2 + j*r**4 + p*r + n*r**3 + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*r**3 - 40*r**2 + 38*r + 66*r**3 + 40*r**2 - 1 to the form k*r**2 + y + v*r + p*r**3 and give v.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 12:43 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0028542709 to 6 dps.\nAnswer: -0.002854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*f - 5, -5*f + 50 = 4*d - 5. Let x(k) = -3*k + 24. What is x(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005253027144 rounded to 4 decimal places?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 54401*y + 2 - 2 - 1. Let n be q(-1). Let v = n + 22402. Round v to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x - 49 + 0*x - x**2.\nAnswer: -x**2 - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 74*z**2 + 7838*z - 250. Calculate i(59).\nAnswer: -781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.5 - -9. Suppose -2*c - 4 = -6. What is the nearest to c in 2\/3, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 1. Let s(i) = 2 - 493*i + 483*i - 6. Let v(q) = 5*r(q) + s(q). Let c(n) = -5*n. What is 5*c(p) - 2*v(p)?\nAnswer: -5*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*z**3 - 19*z**3 - 21*z**3 - 23*z**3 - 22*z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 3. Let q be m(-3). Let h = -5 + 9. Suppose q = 2*c + 2*a - 34, h*c - 4*a - 33 = -a. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3 + 4*f - 3*f - 4 - 6. Let w be a(7). Solve w = u + 2*u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from {m: 3, w: 2, v: 1, c: 6, h: 1, b: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/(-26) - 129\/21\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 7724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**6\/12 + n**5\/10 + 3*n**2. Find the third derivative of w(u) wrt u.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 13*c - 8*c)*(0 + 0 - 1) + (9 - 9 - 6*c)*(4 - 6 + 4).\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.97 and 0.3?\nAnswer: -2.991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44739*w**3 + 38*w**2 - 14726392.\nAnswer: -134217*w**2 + 76*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001009 rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.2 (b) -2640 (c) -3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-1736)\/(-168))\/((-9)\/(-162))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.8 + 0.2. Let z = -1.8 + q. Let t = 34 - 33.9. Which is the second smallest value? (a) 1\/3 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + ((sqrt(63) - ((1*sqrt(252) + sqrt(252))\/sqrt(4))**2) + (4 + sqrt(63))**2*-4 + sqrt(63))*-2).\nAnswer: -1139 - 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j + 6. Let o be l(6). Suppose -3*a + o + 0 = 0. Suppose x - a + 8 = 0. Solve -y - 9 = x*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2988 - -2988.00016416. Round j to 6 decimal places.\nAnswer: 0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - 9132730404?\nAnswer: -9132730373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 353874 divided by 5.\nAnswer: 353874\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1097, -909, -595, -155?\n\"Answer: 63*r**2 - r - 1159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**3\/3 + 15*s**2\/2 + 56*s - 1433. What is p(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001111101 (base 2) to base 4.\nAnswer: -101331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 1. Let a(o) be the first derivative of -3*o**2 + 17*o - 5949. Calculate a(n) + 4*b(n).\nAnswer: -2*n + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 142 - 14 = 0. Let n(g) = 4*g**2 + 3*g + 4. Let w be n(-6). Let m = w - p. Calculate the highest common divisor of m and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.34*-1\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + 7*t**2 + 3*t**2 - 8*t**2 + 2 + 1 + t**2 - 1 + (2 + 2*t - 2)*(-1 - t + 1) as l*t**2 + s*t + d and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -11. Suppose 0 = 4*f - b*f + 235. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ey when two letters picked without replacement from heye?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3282 + -2754. Let f be 9\/((-35)\/(-16) - 2). Calculate the greatest common factor of f and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 956203005?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -6, 111396 = 4*f - 322*k + 326*k. List the prime factors of f.\nAnswer: 3, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - -1) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117080444 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 11. Suppose 0 = -5*y - 18 - 27. Let n be l(y). What is the common denominator of -27\/20 and (-426)\/n*2\/(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -0.1. Suppose -5 = -3*o + 1. Suppose 5*d - 7 = 3*g, -3*d - 17 + o = 3*g. Which is the nearest to w? (a) 3 (b) g (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -9.982. Let y = s - 0.068. Which is the biggest value? (a) 4 (b) 4\/7 (c) y (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 2*g - 15. Let s be n(6). Suppose -182*j = -s*j + 357. What is the highest common divisor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 82?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 - 81. Suppose 0*i + 27 = 5*v + i, -3*i = -z*v + 14. Calculate the highest common factor of v and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -831, 1, 8 in ascending order.\nAnswer: -831, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -511332 divided by 42611?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 + 2*u - 2*u**4 + 2 + 0 wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.131193 minus 6582129?\nAnswer: -6582128.868807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218851?\nAnswer: 89, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-12)\/12*(-2)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 202 - 191. Suppose 3*y + 7 = 4*z - 12, g = 4*z + 5*y. Solve 5*j + 2*i - 20 = -0*j, 4*j + 12 = z*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-19)*h)**(-33\/4)*(h*h\/((h\/(h*h**(2\/5)))\/h))\/h**(-2\/9))**40 assuming h is positive.\nAnswer: h**(54764\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6793*j**2 + 6764*j**2 + 6757*j**2 - 27129*j**2 + 6750*j**2.\nAnswer: -65*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 13*f - 28. Let m be y(-10). Let o = 7 - -2. Suppose 3 = 4*g - o. Solve m*c - 4 = g*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312 and 10776.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16913, -33820, -50727, -67634?\n\"Answer: -16907*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 64*k - 480. Let i be v(-71). Solve 0 = 7*q + i*q + 120 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1166115 (base 7) to base 14.\nAnswer: 3d045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 1 - (3 - 6). Let u(j) = 6*j**2 + 2*j - 1. Is 7 a factor of u(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*z = -i - 34, 4*z = i - 37. Let w(x) = -11*x + 46. What is the remainder when i is divided by w(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 608221464*m - 82131580 with respect to m.\nAnswer: 608221464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 5. Let d = w + -13. Sort d, 1, -1.\nAnswer: d, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 3 + 0 - (-9 + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7458 + 12781. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 204 = -18*a - 42 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/10)*q\/q**(2\/19)*q)\/(q**(1\/5))**(-6\/11) assuming q is positive.\nAnswer: q**(3979\/2090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*c = -232*c - 21*c + 37610500. Round c to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4426*b**2*r**4 - 5*b**2*r**2 + 306988*b*r**2 + b - 83*r**4 wrt r.\nAnswer: -106224*b**2*r - 1992*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 8:33 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 225*q**4\/2 + q**3\/3 + 532*q**2 + 551. What is the second derivative of l(m) wrt m?\nAnswer: 2700*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110110011 (base 2) to base 5\nAnswer: -3220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 5. Let p = z + -27. Suppose -f + 936 = p*v, 2*v + 0*f = -f + 372. What is v rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by (-10*2\/(-12))\/((-5)\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**3 - 1501*r**2 - 1470*r**2 - 4*r**3 + 2974*r**2 - 7*r**3 + 5*r**3.\nAnswer: -12*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**2 + 4*z**2 - 6*z**2 + (-z - z + 4*z)*(2 - 2 - z) + (z - z - z)*(-9 + 9 - z))*(7 + 1 - 4) to l*z**2 + s*z + w and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.438513434 rounded to three dps?\nAnswer: -0.439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.18 and 128195.3506698.\nAnswer: 128195.1706698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110011001 - -111?\nAnswer: 10110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38395260 to the power of 1\/3, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.506 and 16165718.\nAnswer: 16165722.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 53444349977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*q**4 + 325*q**3 - 174*q**2.\nAnswer: -q**2*(q - 29)*(11*q - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*q - 4141103 = -1334411. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 973118 is divided by 1641.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47475 - -47474. Suppose 9*a = 4*a + 70. Which is greater: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 512 + 620 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -39. Suppose w = 5*x + 130 - 155. Suppose 4*u - 834 = 3*q - x*q, 638 = 3*u - q. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 1. Let i = 515 - 510. Suppose r = -i*w - 10, 11*r + 5*w = 6*r + 10. Solve o*f = -3*d - 0*d, r = -5*f - 2*d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 3*b - 11. Calculate the lowest common multiple of 3 and u(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from ucuuuuuu?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*g - 10, -3*n - 2*g + 24 = g. Let s(q) = -1 - 10 + q + 3 - n*q. What are the prime factors of s(-11)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 0*n - 6*n + n. Let q be 3*(2 - (-14)\/(-6)). Let s be m(q). Solve -s*a + 6 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 461*u**2 + 2926*u**2 - 15540*u + 15540*u to z + c*u**2 + p*u and give c.\nAnswer: 3387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2543495.\nAnswer: 5, 307, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1502, -3005, -4508?\nAnswer: -6011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -2*-1*27\/(-6). Let f(x) = -x**3 + 2*x**2 - 3*x - 2. Let k(h) = 2*h**3 - 4*h**2 + 7*h + 4. What is z*f(u) + 3*k(u)?\nAnswer: -u**3 + 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2737 and 368?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67648 and 489391?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26.00148 - -26. What is t rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 4*m + 4*m)*(-2*m - 4*m + 4*m)*(0 - 2*m + 0).\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46 - 462559?\nAnswer: -4625a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(13\/3))\/v*(v**(-2\/15)\/v)\/v*v**(1\/29)\/(v*(((v*v**(2\/19))\/v)\/v)\/v))**37 assuming v is positive.\nAnswer: v**(-1693379\/8265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 2:54 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 9:59 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 56. Let j be (-47757)\/(-20)*2\/w. Let q = j + 1593\/4. Find the common denominator of -19\/10 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v - 18 = 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17015055 divided by 3403011?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 174580613 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: Solve -16*n = -1733278*o + 1733274*o + 700, 0 = o + 4*n + 177 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 2:26 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1191866 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.348407 weeks?\nAnswer: 2025116.5536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-117)\/(-12) + (-2)\/(-8) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22197.1*0.5.\nAnswer: 11098.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/10 and ((-1)\/((-30)\/39))\/(6\/4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69053*i + 69053*i - 830*i**2)*(-4*i - 11*i + 0*i).\nAnswer: 12450*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 20. Suppose q - 33 = -w*v + 5*v, 0 = -v + 3. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.59*3.79\nAnswer: -28.7661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*x + 5*f + 49, 3*f = x - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 2715740?\nAnswer: 29873140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t + 12*t - 8*t**3 + 11*t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 2*s - 3*d, -118 - 64 = -2*s + 5*d. Suppose -s = -2*n + 135. Let z = -63 + n. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*v**2*x**5 + v**2*x - 3*v**2 + 6*v*x**2 + 19 wrt x?\nAnswer: 1220*v**2*x**3 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91600 by 40.\nAnswer: -2290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3612*j - 6*b = -3610*j - 0*b + 62, -5*j - 123 = -b for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -291.3946857 and 130.1.\nAnswer: -161.2946857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 28*a**2 - 27*a + 2. Let k be s(27). Suppose -k*y = 3*w - 2, 3*w + 0*y = 3*y + 27. Let d = 0 + 1. What is the nearest to 0 in w, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from {t: 3, v: 3, c: 1, p: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 720 + 33 = -2*r, 0 = 2*r - 4*k - 672. Differentiate -r*v**3 + 350*v**3 + 6 + 6 with respect to v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/((-45)\/(19440\/459)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 86383 to the power of 1\/2, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 5, -1\/3, 1\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.7365 + 0.1965. What is l rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3411.3 + -3411. Which is the third biggest value? (a) v (b) 3\/2 (c) -0.58 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = y + o, 111250123*y - 111250128*y = -7*o + 99 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 - 14*w**2 + 15*w - 226. Calculate c(10).\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 20 = -i, 0 = -5*h - 3*i + 1383. List the prime factors of h.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -17809 = -17810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 14209105*k**2. Let g(w) = 35*w. Give g(r(f)).\nAnswer: 497318675*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g, 14*g + 264 = 4*d + 12*g. Suppose 0 = -d*h + 6444 - 42. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22072308623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 21*a**2 - 20*a + 4. Let g be r(-20). Suppose -5*y - 2447 = -g*f, 2*y - 1720 - 121 = -3*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/10 (b) -13 (c) -0.3 (d) 3 (e) 5 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away 436.6?\nAnswer: -430.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -813048 divided by -456\nAnswer: 1783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n + 6. Let i be x(-5). Is (2 + 19)*i\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -132*i**2 - 124*i - 228. Let d(g) = -9*g. Give u(d(q)).\nAnswer: -10692*q**2 + 1116*q - 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -6*d + 2*d + 135, 0 = 2*j + 10. Calculate the remainder when d is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 18. Suppose 3*h - 56 = a. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**2 + 5*q + 18. Let d be l(-3). Let b = d - -44. Suppose b*j = 3*j + 340. What is the lowest common multiple of j and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 + 1 + -6 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177020*m - 176824*m + 392 = 0. Let v be (-33)\/(-7) + 4\/14. Sort v, m, 1, 8.\nAnswer: m, 1, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5222 + 5232. Let i(k) be the second derivative of d*k**2 + 1\/4*k**5 - 10\/3*k**3 + 0 - 5\/12*k**4 - 14*k. Suppose i(f) = 0. What is f?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53829000 rounded to the nearest 100000?\nAnswer: 53800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48431412 by -54.\nAnswer: 896878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/(-15) + 2)*-30. Let p = 0 - v. Let z be (p + 1)*-1*1. What is the greatest common factor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 80 = 16. Solve 13*x = l*x - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -112475 and -112474 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -865 + 865 - 8*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/8)\/((-5)\/(-40)). Suppose -11*m - 18 = b. Is (-1)\/(-5) + (m - (-24882)\/15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2638.\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/65603 + -145376228\/328015. Let i = 39233\/90 + a. What is the common denominator of i and -65\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccjljljljcllcc. What is prob of picking 1 l, 2 c, and 1 j?\nAnswer: 200\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -11*j**3 + 4*j**2 + 3*j + 1. Let t be b(-2). What is the greatest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.62776ng in tonnes?\nAnswer: 0.00000000000001762776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:25 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3412131 - -2?\nAnswer: 3412133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63108238 or -63108239?\nAnswer: -63108238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*x - 36 = -92*x. Solve 37 = x*m - 5*t, 30 = 8*m - 3*m - 2*t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241732*w**3 - 241604*w**3 + 723843*w**3 - 241277*w**3.\nAnswer: -770*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 + -0.35087?\nAnswer: 558.64913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**3 - 6*b**2 - 5*b - 10. Let v(g) = g**3 - g - 2. What is -s(j) + 5*v(j)?\nAnswer: -j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5191.878463 - 5191.9. What is h rounded to 4 decimal places?\nAnswer: -0.0215","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35953465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2417*o**2 + 4838*o**2 - 2420*o**2. Let q(t) be the third derivative of -19*t**4\/24 - t**2. Calculate u(q(r)).\nAnswer: 361*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6400204853?\nAnswer: 7, 19, 113, 425857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-12) - 6)\/(-7 + (-55)\/(-10))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 786*j - 9645. Give n(12).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = 0, 5*k + 5*r - 210 = 2*r. Suppose 4*j + 117 = 37. Let l = k + j. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + (1 + -1*sqrt(500) + sqrt(500) - (-4 + -1 + sqrt(500)) - -4*(-1 + -1*sqrt(500)))))**2.\nAnswer: 2500*sqrt(5) + 312525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 156*v + 11. What is the tens digit of b(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 291 = h - 91, -2*h - 424 = -4*q. List the prime factors of (-1)\/(-4) + h\/(-8).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veviemmexvmvmqi. Give prob of sequence mxv.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, n: 2, c: 2}. What is prob of picking 4 e?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 7530 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5069518 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - i + 4*i + 101 + 100 - 1584 + i + 1375.\nAnswer: 4*i - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 + 1.5. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = 3. Suppose 0 = y - q, -n + 5*y - 4*y + 10 = 0. What is the least common multiple of 0 + 16\/(-4)*-6 and n?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 658 + h - 1021 - 1598 - 2*h.\nAnswer: -h - 1961","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4098.925m in micrometers?\nAnswer: 4098925000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369320047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 9*u - 104. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 4*x, 3*x + 9 = -4*p. Let i = 4.5459 + 0.4541. Let k = 2.98 + 0.02. Which is the second smallest value? (a) k (b) p (c) -1 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.8824\nAnswer: -3.5296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 916287541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 637276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -633 (c) 0.5 (d) -2\/7 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/24 - (1 + (-761586)\/36). Suppose -48*t = -50*t + j. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3 - 5633*b**2\/2 - 704*b = 0. Calculate b.\nAnswer: -1408, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*2 - 30\/(-6). Find the common denominator of (4 + (-222)\/12)*4\/(-3) and (-7 + t)*285\/48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3\/5 - 4*k**2 - 52*k\/5 - 28\/5.\nAnswer: 4*(k - 7)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o = -15. Suppose 207 = o*n + 36. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 886906 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/59882 or 1?\nAnswer: -15\/59882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 159\/6 - ((-4)\/8)\/(-1). Suppose -15234 = -8*q - i. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -70, -103, -160, -247, -370, -535?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17201159?\nAnswer: 17201159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -845 less than 0.82?\nAnswer: 845.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118\/(-36) + 2 - (-4)\/3.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145195387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/8 - 51\/(-68). Suppose 0 = 3*b - m - 6, 2*b - 2 - 10 = -2*m. Solve y*i + 3 = -b*q, 2*i + q + 3 = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*m + 36. Suppose -4*k = 0, -3*t = -4*t - 5*k + m. Let f be (-2)\/(-1 - (-2)\/4). Calculate the greatest common factor of t and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**7\/5040 - l**6\/360 - l**5\/60 + 5*l**4\/12 - 5*l. Let s(h) be the third derivative of v(h). Solve s(g) = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-1 - -5)\/4*1). Let k(a) = a**3 - 5*a**2 + 5*a + 1. Let n(t) = t**2 - t - 1. Calculate p*n(r) + k(r).\nAnswer: r**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 + 66*y + 39. Calculate the smallest common multiple of (-44)\/(-3) + (-28)\/(-21) and p(-23).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from {a: 1, d: 1, j: 5, l: 1, r: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*t + 2448, 2*a - 1623 = -3*t + 4*t. Let x = a + -561. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 61*a**2 - 1340*a + 5367. Give u(4).\nAnswer: 983","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 87842547*u.\nAnswer: -3*u*(u - 29280849)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6624)\/5796*(-966)\/3*2\/16.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 78a84 (base 14) in base 2?\nAnswer: 1000111100001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 50332235897558 and 0.1.\nAnswer: 50332235897558.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 7 + 13 + 32*a**3.\nAnswer: 32*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1459\/26 + -736\/13. What is the closest to 282 in m, -3, -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193485061 a multiple of 1891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/9, -4.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 105, 209, 313, 417, 521?\n\"Answer: 104*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -433011 divided by -1739\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 687910983 + -687910942.9999983. Let b = -31.7 + -8.3. Let c = a + b. Round c to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**3\/3 + 4*r**2 + 9*r + 457. Give o(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 e, and 1 b when three letters picked without replacement from xbebshsbssbbxesxs?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -29570, -59145, -88724, -118307?\n\"Answer: -2*m**2 - 29569*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -17*q + 30. Let y(h) = h**3 - 5*h**2 + 4*h. Let b(m) = 2*m**3 - 9*m**2 + 7*m. Calculate q*b(l) - 5*y(l).\nAnswer: l**3 - 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 743233*h**3 - h**2 + 7159*h + 22 wrt h.\nAnswer: 4459398*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 5 (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 q, and 2 k when four letters picked without replacement from knmkqkpmbpnmmnm.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*x - 5 = 67, 2*d + 90 = -5*x. Let k = 11 - d. Let b(r) = -2*r - 18. Let v be b(-11). Sort v, k, -0.4 in ascending order.\nAnswer: -0.4, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1152)*2*5)\/(sqrt(3600) - (6*(sqrt(3600) - 1*sqrt(3600)) - sqrt(3600))))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y**2 + y + 1. Let k be o(-1). Let x be (1\/3)\/((-4)\/(-24)). Suppose -k*w = x*w - 99. Calculate the remainder when w is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-15)*(-3 - (-9)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 2. Suppose 20 = 5*r - 0. Let c be l(r). Let z be (-8)\/(c - (-2)\/2). What is the greatest common divisor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 + 118 = 3*o. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(192)))**2.\nAnswer: -512*sqrt(3) + 3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3}. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2332 = -392*c + 10172 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 1. Let d(p) = -5*p - 6. Let k(q) = -q. Let b(x) = -d(x) + 4*k(x). Let o be b(-5). Let y(g) = 6*g - 2. Let n = 1 - -3. What is n*t(w) + o*y(w)?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102653682 by -3.\nAnswer: -34217894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**3 - 5*i**2 - 139000*i + 2774000 = 0.\nAnswer: -380, 20, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 141665*g**3*y + 43719*g**3 + g**2*y + 162*g**2 - 2*g*y + 26*y wrt y?\nAnswer: 141665*g**3 + g**2 - 2*g + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101111 - 1010110101111001?\nAnswer: -1010110111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 2*v**2 + 2*v + 3. Let j be l(3). Let b = 3 - j. Does b = 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823410?\nAnswer: 2, 3, 5, 7, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9286 is divided by 1854.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 - 408 + 215 - 54470*n + 54471*n.\nAnswer: n + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3550649 is divided by 507229?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -5*q + 21, -d + 11 + 13 = 4*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-5)\/(-25)*(-4)\/2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/4*d**2 + 0*d + 3\/4*d**3 + d**4 + 0 = 0. Calculate d.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**3 - 22*k**2 - 20*k - 82. What is the tens digit of f(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 0)*(-12)\/(-2). Suppose 0 = -2*v + 26 + 106. Calculate the greatest common factor of m and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02+-88397076123\nAnswer: -88397076122.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246342, 246357, 246372, 246387?\nAnswer: 246402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-112)\/24*333\/6. Let q = h + 253. Let b(g) = -2*g - 9. What is b(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**10*w*w**(-15))\/(((w\/(w*((w*w*w\/(w*w\/w**(-2\/19)*w*w))\/w)\/w*w))\/w)\/(w\/(w*(w*w**(-22))\/w*w)*w)) assuming w is positive.\nAnswer: w**(321\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231.6729s to nanoseconds.\nAnswer: 231672900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(180\/(-63))*-8*1\/(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1391146.20999935 + 1391146. Let f = 46.79 + -47. Let d = f - z. Round d to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 758589 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 45349*n**2\/2 - 47*n + 127. Let u be k(3). What is u rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18728*a**3 + 7160*a?\nAnswer: -112368*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/10 of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 9) to base 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34400 + 3?\nAnswer: 34403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*q - 5*k, -11*q - 3 = -12*q + 5*k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - u**2 + 95*u**3 + 96*u**3 - 192*u**3 - u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y. Let u(c) be the third derivative of -c**4\/6 + 4*c**3\/3 - 2*c**2 + 33*c. Calculate u(i(b)).\nAnswer: 4*b + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1110022 (base 3) to base 15\nAnswer: -4ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16439054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5214, -5219, -5226, -5235, -5246, -5259, -5274?\nAnswer: -5291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, t: 7, m: 3, e: 1, x: 7}. What is prob of sequence zemt?\nAnswer: 7\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1918.0162 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/130602438 and -4\/1518633.\nAnswer: 130602438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 3)*(-x + x - 3*x)*(5*x**2 - 4*x**2 - 3*x**2).\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10010 or 1?\nAnswer: 10010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**4 - 2*v + 2*v + v**3 - v**3 + v**4 - 2 - 3*v**4 + 2 + (0*v**3 - 5*v**3 + 3*v**3)*(2*v + 2 - 2))*(-4 + 4 - 1).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 530\/21 or 24?\nAnswer: 530\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6484 + -6484.00074956. Round n to five dps.\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a**2\/7 + 35010*a - 245076\/7 = 0. Calculate a.\nAnswer: -40846, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-35)*(-5)\/15*(-15)\/2\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -322*l**5 - 2*l**3 + 1866*l wrt l?\nAnswer: -6440*l**3 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 0*m + 3*m + 3*m. Let n(a) = 2*a**2. What is n(v(s))?\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 739 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4050592 and 125279024.\nAnswer: 1753906336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-35)\/(-336)*(-4)\/(-10)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 749597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7371419?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 p, and 2 t when four letters picked without replacement from {s: 1, q: 2, p: 1, h: 5, c: 1, t: 7}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 688158560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -139 + -4*(-35)\/28. Let n = -129 - d. Solve 0*p - 5*p - 3*l = 40, -l = n*p + 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 53. Let t = -1727\/2 + 905. Find the common denominator of t and 129\/(-432)*38 - f\/45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258 = -4*b + 22*w, -b - 5*b + w = -10*b - 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/7, -2\/3, 20 in ascending order.\nAnswer: -8\/7, -2\/3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 275, 60, 2 in increasing order.\nAnswer: 2, 13, 60, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*u**3 - 32*u**3 + 170 - 29*u**4 + 137 + 62*u**3 wrt u.\nAnswer: -116*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 20. Let g = -5 + n. Let f(c) = -2*c**3 - 4*c**3 - 6 - c**3 + 2*c. Let u(x) = -6*x**3 + 2*x - 5. Determine g*f(k) - 6*u(k).\nAnswer: k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4\/3 + 28*q**3\/3 - 22*q**2\/3 - 52*q\/3 = 0.\nAnswer: -1, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*j + 4*j + 3, 0 = -4*j + 4. Solve 0 = -a + w, 3*w + k = -11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-25 + 42) - -41.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68121, -272500, -613131, -1090008, -1703125, -2452476, -3338055, -4359856?\nAnswer: -5517873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 52 = 7*n - 4*n, -20*n - j + 14 = -49 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + (1 - -1))*1. Suppose -3*f + 92 = -28. Suppose u = t - 6*t + f. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**4\/2 + 7*o**3\/3 - o**2\/2 - 2*o - 246. What is t(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2717500 rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (125*13660\/(-3))\/(2\/480). Round x to the nearest 1000000.\nAnswer: -137000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005998488212 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-10)*f*f**(2\/39) assuming f is positive.\nAnswer: f**(-349\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13.4 and -63.0809?\nAnswer: 76.4809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11202012021 - -12?\nAnswer: -11202012002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -528 (base 10) to base 12.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16338 - 16339.1. What is the second biggest value in -5\/7, -1, u, 0.9?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*v - 858015 - 756633 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59125324073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**2\/8 + 2568*t + 176358 = 0.\nAnswer: -68, 6916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/6 + (-1)\/3. Let y be 15\/2 + (-2)\/b. Solve -g + 5 = 0, -y*l + 45 = -2*l + 4*g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7874, 14824, 21772, 28718?\n\"Answer: -s**2 + 6953*s + 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**3 + l**2 - l + 12. Let b be i(-5). Let d = -190 - b. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (5 - (11 + -19)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -300, -930, -2124, -4062?\nAnswer: -6924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1050 is divided by 492.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-9 - (6 - 13)) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 248*z**2. Let u(k) = -28*k**2. Determine b(u(l)).\nAnswer: 194432*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 618568 = 7422809\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b - 3. Let f be -2 + (0 + -2 - -2). Let d be p(f). Which is greater: d or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*q + 501 = -85 - 224 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 - v**2 + 3*v**2 - 56*v + 4 + 54*v. Suppose -f + 3*o = 18, -3*o + 25 = 2*o. Calculate p(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/15)\/(r*r**(7\/2)*r))\/(r**7)**(2\/25) assuming r is positive.\nAnswer: r**(-899\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4481*p**2 + 7*p + 10. Let m be a(-5). Round m to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 times -296?\nAnswer: -97.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3 (b) 384 (c) 3 (d) 4.4 (e) -16 (f) 0.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-253)\/69*(-2)\/11*-36. Does 15 divide (1236\/l)\/((-2)\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 2)*(-5*q + 8*q + 4*q) + 3*q - 7*q - 6*q + (4 + 3 - 5)*(-3 - q + 3) to w*q + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*q - 1. Suppose -f + 40 = 5*d, 3*d - 9 - 43 = 5*f. Let m = q + d. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - 2*f)*(-26*f - 37*f + 10*f**3 - 3*f**2 + 63*f).\nAnswer: -20*f**4 + 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/18200*-26*16\/6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -29*4027898\nAnswer: -116809042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3 + 1 = 0. Suppose -2 = 2*a - 6. What is the third smallest value in 1\/2, a, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 245870, 491424, 736954, 982448, 1227894?\n\"Answer: -2*k**3 + 245568*k + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a - 20*a**2 + 20*a**2 + 48*a + 11*a**3 - 24*a.\nAnswer: 11*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-735)\/(-980) - 7\/12?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 0.897, 53368?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 - ((1 - 2) + -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-15)*(-6)\/(-4) - 21. Let p = g + 31. Suppose p*r - 145 = -13. What is the remainder when 30 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = 2*n. Let s be -1*n*(-5 + -2). Let z = 13 + s. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378138?\nAnswer: 2, 3, 19, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84603 is divided by 120.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a hour in minutes?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2569\/(-9) + (3 - 5). Let l = m - -287. Let w = -0.2 - 0.3. Which is the closest to 1? (a) l (b) w (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*m - 3*g + 102 = 99*m, 3*m - 4*g - 95 = 0. Suppose -2*z - z = -51. Calculate the remainder when m is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**4\/24 + 3*i**2. Let g(m) = -m**3 + 2*m**2 - 5*m. Calculate g(n) + 5*h(n).\nAnswer: -n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87486*t**3 + 3*t**2 + 87520*t**3 - 2*t**2 - 30*t to the form r*t + x + c*t**2 + z*t**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (5 + -2 - -30). Suppose -5*j + 0*d + 4*d = -y, -2*j = -2*d - 14. Calculate the remainder when (0 + (-19 - -3))*(-3)\/j is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 198 - 191.95. Let p = o - 0.15. Let u = p + -5.89999954. What is u rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18484743 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -54*r - 97. Calculate g(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xqxwoqii.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -400*x - 50. What is p(0)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/7875 and 59\/435.\nAnswer: 228375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*i**2*m - 89729*i*m - 1598619*m wrt i.\nAnswer: -70*i*m - 89729*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(152) - sqrt(152))\/sqrt(2) + (sqrt(1539) + 2*sqrt(1539) + 5)**2.\nAnswer: 274*sqrt(19) + 13876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 205, 218 in descending order.\nAnswer: 218, 205, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 * 27.6.\nAnswer: -52.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/6)\/((-856)\/(-4)). Let q = s - 1535\/214. Calculate the common denominator of q and -57\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -b + 84. Suppose 10*v = 330 - b. Solve -v = 12*z - 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -100*y + 1. Let c be l(1). Let w = 338 + c. What is w rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2 - 169*y - 693. Calculate f(-4).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2862 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1190, 2363, 3544, 4733?\n\"Answer: 4*o**2 + 1161*o + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 10 = 7*x. Let f(b) = 322*b - 4505. Let c be f(14). Solve -c*l - 9 = 2*l - 4*o, -l + x*o + 3 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 9 = 7. Suppose 5*w + 10 = -o, -a*o = o - 3*w - 34. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.5, -10332, 2\/3 in descending order.\nAnswer: 1, 2\/3, -0.5, -10332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 15 = m. Let y = m - -5. What is the units digit of 0 - (5 + y - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -13dcc?\nAnswer: 13dd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7966785555647541911\/1522300 + -5233387345233. Let c = g + -6\/15223. Let i = 32\/3 + -16\/3. What is the common denominator of i and c?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 3*p**5\/5 + 3*p**4\/4 - 9*p**2\/2 - 2*p - 186. Let n(w) = -3*w**3 - 2*w**2 + 2. Calculate 9*n(b) + 2*r(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/14, 3\/8, -0.029, 2, 4 in decreasing order.\nAnswer: 4, 2, 3\/8, 1\/14, -0.029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -191*c**2 + 17*c + 70?\nAnswer: -382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -6. Suppose 4*o = 4 - c. Let u(b) = 25*b**2 + 20*b. Let g(s) = -s**2 - s. Let h(m) = o*u(m) - 20*g(m). Let z(f) = -2*f. What is z(h(n))?\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n + 22*n - 43*n + 45 = -4*g, 2*n - 6 = 19*n - 3*g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 20*u**2 + 5679*u - 102647. Give t(-301).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 2 - 2 + 0*k. Let h(x) be the first derivative of -x**5\/20 - 8*x**3\/3 + 7. Let d(g) be the third derivative of h(g). Calculate l(d(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 56 (c) -0.1 (d) 1289\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) -4 (b) -1\/4 (c) -33 (d) 43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = h + 17*c - 21*c, -3*h - 4*c + 58 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -804 - -804. What is the third smallest value in 1.9, 4, n, -0.2?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + k = 0, 3 = -5*u - 3*k + k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**3 + 2*t**2 + t. Give w(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 76421.\nAnswer: -21\/76421","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from {p: 2, y: 1, l: 1, m: 1, b: 1, h: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 25*c + 162. Let h be z(-14). Solve s + h*y = 4*y, 5*y = s + 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -11. Suppose -2*y + 40 = 5*r, r + 2*r - 24 = -2*y. Suppose 2 = -3*c + r, 2*c - 30 = -2*g. Solve 0 = 3*q + 15, 4*q = -x - g - v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 - -1e?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 4*k**2 - 5. Let x be c(4). Calculate the smallest common multiple of (4\/10)\/(x\/(-400)) and (-3 - -2)\/(-2 + 57\/30).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/21*(-189)\/324*(-4)\/11.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/9, -2, 3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 2 - 1) + 37 + -33.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -5 (b) -33 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, d: 3, k: 5}. Give prob of sequence kdkq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 320, 630, 940?\nAnswer: 1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 327362 and 308736.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 2, i: 1, t: 1}. What is prob of sequence itz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -267482 (base 9) to base 14\nAnswer: -43565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 703 = 8*n - 1497. What is the greatest common factor of 110 and n?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 3. Let f be c(0). Let g be -1*5\/(-1) + f. Let g*o**3 + 3*o**3 + 3*o**2 - 5*o**3 - o**4 + 2*o = 0. What is o?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -174, -254, -334, -414?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 207423 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -3*w**5\/100 + 59*w**4\/10 - 336*w**3 - 2160*w**2 + 992*w. Solve b(u) = 0 for u.\nAnswer: -2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 11. Let g be 5*((-9)\/(-3))\/z. Sort g, 3, 2 in descending order.\nAnswer: g, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 6*i**3 + 3 + 5 - 7*i**3 + 2.\nAnswer: -i**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3047 - 6134 = -119*t - 3945 for t.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sstsgstgg. Give prob of picking 1 t and 1 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*b + 18*b = -22*b - 35 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178658 - 2*v**2 + 178658.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37517?\nAnswer: 37517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 4 - (2 + -1)) + (-28 - -9) + -50?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Let i(c) = c**2 - c - 48. Let u be i(8). Calculate the highest common factor of u and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 22*b + 45. Does 5 divide f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177156 is divided by 515.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 8:23 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -302, -598, -906, -1238, -1606, -2022, -2498, -3046?\nAnswer: -3678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -242 (b) -0.04 (c) 0.5 (d) -0.4 (e) 951\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, -2, -1, -3\/7, -5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4*o - 14 + 12.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -206, -2145?\nAnswer: -2145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15040 - 120335\/8. Sort w, -1\/4, 3.\nAnswer: w, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1849, 1842, 1835, 1828, 1821, 1814?\n\"Answer: -7*w + 1856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 213661, 427433, 641423, 855739, 1070489?\n\"Answer: 18*o**3 + o**2 + 213643*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*y + 2304 = 4064. What is the highest common divisor of 4384 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117102047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.48 + -0.68. Let h = -0.7 + -0.3. Which is the closest to h? (a) g (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i**2 - 7*i**2 + 7*i**2 - 12*i**2.\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/25 - ((-936)\/15)\/3. Let l be (-2)\/3 + 14\/s. Suppose 3*w = -4*i + 18, 3*i - 5*w - 3 + 4 = l. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*b - 5. Suppose -5*z = -3*j - 804, -565 = -b*z - j + 227. Suppose z = g - 254. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 852961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*f + 31*f - 28*f + 80. What is the greatest common divisor of f and 2105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 10)*10\/(-20). Let a = 5 + -3. What is the lowest common multiple of 8\/w*(-9)\/a and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 20.7605\nAnswer: 10.38025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1331)*-2 + 3 - -3*1*sqrt(1331) - ((sqrt(1331) - (sqrt(1331) + (sqrt(1331) - (sqrt(1331) + 0 + sqrt(1331) + -4)))) + 5))*-1 + -1)**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 484431126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -189 or -188?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((360\/21)\/4)\/(1\/7). Let o = 135 + -91. Suppose 0 = 4*d + 2*m - 230 + o, d = 5*m + 30. Calculate the greatest common divisor of r and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2. Let d = 21 + -15. Let x(n) = d*n - 4*n + 0*n. Calculate x(v(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 78\/10 + (-2)\/(-10). Let l be (-47)\/(-7) + h\/28. Let n(a) = 3 - 4 - 2 - l*a - a**2. What is n(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fszshfskyfshyshssyz. What is prob of picking 1 y, 1 f, and 1 h?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 324 + -315. Solve -11 + 38 = -b*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-2 - 7 - -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**2 - 6*c**2 + 4*c**2)*(-3*c + 2*c + 0*c + (-c + 4*c - 2*c)*(3 + 0 - 1) + 3*c - 3*c + 9*c) - 4*c**3 + 0*c**3 + 2*c**3.\nAnswer: 38*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzzzrrfizfzzis. What is prob of sequence if?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167410*o = 167387*o + 602 + 295 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 16*k - 13*k - 7962 = 0, 29209 = 11*c - 4*k. What is the smallest common multiple of 45 and c?\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 20*y - 22. Let c be u(-8). Let w = c + 366. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/23)\/((r\/(r\/r**(-23)))\/r))**40 assuming r is positive.\nAnswer: r**(22160\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -123 - -4 - (161 + -257 + 76).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 156, 317, 480, 645, 812, 981, 1152?\n\"Answer: j**2 + 158*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -7*l**4\/8 - l**3 + 2*l**2. Is r(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n + 2. Let d(y) = -y + 1. Let f(h) = -4*d(h) + x(h). Determine f(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**2 + 104*d - 294 = 0.\nAnswer: 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245 + 120 + 30*i + 125.\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26709 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 49 = 2*f + 73, -3*f = -5*h - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1499190 divided by 1155?\nAnswer: -1298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/6 - 122*b**2\/3 - 321*b\/2 - 120.\nAnswer: -(b + 1)*(b + 3)*(b + 240)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.02 (c) -3 (d) 1411\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -448, 15\/8, 3, 1 in descending order.\nAnswer: 3, 15\/8, 1, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 459 or 460?\nAnswer: 460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000689976543 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -40 + 112 + 9 + -31.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*m**6*t + 4677*m**5*t**3 - 2*m**2*t - 4*m*t**2 - 31*t**3 + 2 wrt m?\nAnswer: 600*m**3*t + 280620*m**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 0 - 1) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -85, -166, -249, -334, -421?\n\"Answer: -w**2 - 78*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78857934?\nAnswer: 2, 3, 17, 773117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 12601321*z**2 + 1 + z - 1 + 12601417*z**2.\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -465 + 32143?\nAnswer: 31cde","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 222 (b) 90 (c) 1\/4 (d) 0.3 (e) -58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29230 is divided by 1217?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.081 - 0.219. Let n = 1428.1 + -1428. Which is the closest to n? (a) -1\/3 (b) f (c) -4\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1048.6329 to the nearest ten.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 371, 2251, 7103, 16409, 31651, 54311, 85871, 127813?\n\"Answer: 247*a**3 + 4*a**2 + 139*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/70*(-96 - (-6490)\/59) + 486\/(-10)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 8*q + 3. Calculate the remainder when 41 is divided by m(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -3 + sqrt(117) + 1 - (sqrt(117) - (0 + sqrt(117)))*3)*1 - ((2*-2*sqrt(39))\/sqrt(3) - (5 + (sqrt(1573) - 2*sqrt(1573)))))**2.\nAnswer: -6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 977.7 - 943.7. Which is the nearest to -30? (a) -2\/13 (b) x (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -13832.5\nAnswer: 4149.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7028, -14041, -21042, -28031, -35008, -41973, -48926?\n\"Answer: 6*j**2 - 7031*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1671, -1668, -1663, -1656, -1647, -1636, -1623?\nAnswer: -1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91 + -97 + (1 - -17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5452943893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 14. Let j be w(-7). What is the highest common divisor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 27 - 1. Let i = -17 + 31. What is the remainder when y is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 87*f**6\/40 - f**5\/60 + 6143*f**4\/24 - f**2 - 7246*f. What is the second derivative of x(r) wrt r?\nAnswer: 1566*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*-2*(-2)\/44?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 2*j**3 - 6 + 30.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -13*w - 141. What is j(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2496, -4994, -7490, -9984?\nAnswer: -12476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-183 - -184 - (-2 - 0 - -2)) - 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39273353 to the power of 1\/2, to the nearest integer?\nAnswer: 6267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*x - p, -3*p - 39 = 9*x - 13*x. Calculate the greatest common factor of x and 606.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*c - 21 - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-98847)\/((-49)\/7) - (-190)\/(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13124 by -68.\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((-4807)\/(-105)) + 132\/242\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -12, -23, -38, -57, -80?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39100612.\nAnswer: 2, 17, 575009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (14 + -28)) + 10 + -5 + 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 5*z + 4. Suppose -11*k + 121 = -1804. Let o = -172 + k. Give v(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6779786?\nAnswer: 2, 13, 260761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2129 (base 10) to base 16\nAnswer: -851","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 178 - 186. Let c be 1 + -5 + (-6)\/(-6). What is the units digit of (284\/n)\/(c\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26216 and 7425682.\nAnswer: 29702728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 7 + 7)*(-1654 + 1654 + 395*o**2).\nAnswer: -395*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*l + 39 = 73 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11217 - -10.\nAnswer: -11207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.1 in 0, -9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -4\/7, 2\/7, 0.736072 in ascending order.\nAnswer: -4, -4\/7, 2\/7, 0.736072, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3276 and 1901718.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -386*l**2 + 386*l**2 + 2*l + 5*l**4 + 6*l**3 + 11*l**3 to the form u*l**3 + w*l + f*l**2 + z + d*l**4 and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 3*k**2 - 16*k - 8. Is 26 a factor of y(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 38*p + 5. What is the tens digit of d(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 12. Suppose -20*q + 25*q + 40 = 0. What is p(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(((-48)\/(-27))\/8). Solve -3*z + 3 = -r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*r - 12, -r + 0 + 2 = 0. What are the prime factors of (-1 + q - -5)*(78 + -6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 1729*a + 60956. Determine y(36).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zazdzziiaagdzzzzdi.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**8\/6720 + b**7\/840 + b**4\/12 - b**2. Let l(i) be the second derivative of o(i). Find the third derivative of l(s) wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9524923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 10*r + 25. Let c be t(5). Suppose -c*h + 264 = -72*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137.8 + 252. Let j = x + -114. What is the smallest value in -68, 1, j?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 41*s - 393. Let n(z) = 13*z + 286. Let m be n(-21). Let r be o(m). What is the greatest common factor of r and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**2 - 7*u + 5. Suppose 1 = -2*h + 15. Let y(c) = 2*c**2 + 3*c - 2. Let d(p) = h*y(p) + 3*o(p). Let n be d(-1). Solve -8 = n*i + i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p = -2*a - 16, -4*a = -3*p + 22. Let d(o) be the first derivative of 7 - 3 + o**p + 3 - 2 + 7*o. Determine d(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 5*i**2 - 499*i - 197. Determine k(20).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 1404 = -14*n. Let h be (-384)\/n + 2\/13. Sort 0, -0.9, h, 1\/7.\nAnswer: -0.9, h, 0, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 192 = -0*w. Suppose 36 + 30 = 2*j - 2*q, -2*q = -3*j + w. Let y be 0 + -1 + j\/34. Which is the second smallest value? (a) -2 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Suppose -36 = -2*y + 6*y. Let k = 10 + y. Which is the nearest to u? (a) k (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (-5 + -2*sqrt(396) - sqrt(396)) + sqrt(396) + -2 + 0)*5)**2.\nAnswer: 6000*sqrt(11) + 42100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -2526275?\nAnswer: -2526274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-3))\/(4\/6). Let n be (8\/(-12) - b)*291. Let n*q**2 + 16*q**4 + 4 + 5*q + 72*q**3 + 9*q + 22*q + 0*q = 0. Calculate q.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 24 + 3*l**2 - l**2.\nAnswer: 2*l**2 + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/156)\/(70\/(-140)*(-2)\/90)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 72 = 2*x - 3*u, -72 = -3*x - 3*u. Suppose -3*i + 3*s = -39, 4*i = 5*s + 46 + 9. Calculate the remainder when x is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 7*n - 3*n + 20 = 0, 3*b = -3*n - 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*f - f. Suppose 3*c = 36 + f. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3 + 21*b**2*q**2 - b**2*q + 2*q**2 - 17 wrt b.\nAnswer: 6*b**2 + 42*b*q**2 - 2*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/182940829?\nAnswer: 1\/182940829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Suppose -9 = -3*v, 0 = 2*a + 3*a - 4*v + 17. Let t be 4*(5 + -4) + -7. Let r(h) = 6*h + 2. Determine a*r(b) + t*l(b).\nAnswer: -3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27045, -54093, -81145, -108201?\nAnswer: -135261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567215 is divided by 702?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqxwbxjxmbmqqmmmmm. What is prob of sequence bb?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 11. Let c be o(7). Suppose -13*r + c = -7*r. Let h = 31 + -14. Solve r = -5*t - h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agaaaaaaaagaaaaaaa. What is prob of sequence gg?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*h - 19 = -17, 2*i - 10 = 2*h. Sort -13, i, -4, 4 in ascending order.\nAnswer: -13, -4, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/(x*x*x\/((x*x*x**(-5\/2))\/x)))))\/x)\/((x*x\/x**(-16))\/x*x)*((x*((x\/x**(6\/7))\/x)\/x)\/x)\/(x*(x\/(x**(10\/7)\/x))\/x) assuming x is positive.\nAnswer: x**(-349\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2596175 + 0.1.\nAnswer: 2596175.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -2. Let f be 1\/d*0 - 4. Let j(s) be the first derivative of -3*s**2\/2 - 2*s + 3637. What is j(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 3*d - 8. Calculate the smallest common multiple of r(4) and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-10))\/(216\/80).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -387812 (base 9) to base 7.\nAnswer: -2000201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**5\/3 + 12*u**4 - 196*u**3\/3 + 392*u**2\/3 - 110*u + 100\/3 = 0.\nAnswer: 1, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200652, 200698, 200744, 200790?\nAnswer: 200836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 3\/8, 0.2, -8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 58.06905 litres?\nAnswer: 58069.05","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5065136261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.12324 - 2.12324. Let p = 0 - -1. What is the closest to p in 0.06, o, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*g = -3*g - 2373, 2*g = 8. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*y - 171*y = -48 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -d + 23, 59*d + 219 = -3*v + 67*d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 145\/(15225\/(-98))*(-30)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -14*b**2 - 981*b + 20613. Calculate t(-87).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9b - 728585?\nAnswer: -728653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 33919 + 67572 = 3*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 1. Let w be h(2). Suppose -5*g = 5*s - 46 + 16, -60 = -5*s + w*g. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kskk when four letters picked without replacement from kkkkskkkskskskkkkk.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3422 divided by 17\nAnswer: -3422\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1536648?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v**2 + 6*v - 11. Let t(a) = -4*a**2 - 3*a + 6. Suppose 3*y = -0*y + 15. Let d(f) = y*t(f) + 3*c(f). Let k be (10\/4)\/((-3)\/6). Give d(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.3 - 17.3. What is the second smallest value in -3, 1\/5, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 2 (b) -0.3 (c) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-2)\/(-3)*-6. Let s(y) = -y + 14. Let i be s(v). Suppose -5*p + i*p - 2040 = 0. What is p rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293449?\nAnswer: 13, 22573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.62 - 2182437.\nAnswer: -2182438.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -98*(1134\/(-28))\/27 and 833?\nAnswer: 2499","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h. Let r(i) = 2494*i**2 + 1290. Let q(f) = -86*f**2 - 45. Let z(j) = -86*q(j) - 3*r(j). What is n(z(x))?\nAnswer: 774*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 20 + 36. Let i = d + 20. Let a(g) = 3*g**2 + 13*g - 4. Does 14 divide a(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (12 - 2) + 4 - 11\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 254*s + 3343. Calculate the remainder when x(61) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from nmnbvwvvmwwwggg?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*(h**(-24)\/h)\/h*h)\/(h*h**(7\/8)*h)*(h**(-29)*h*h)**18 assuming h is positive.\nAnswer: h**(-4095\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -663 - -671. Solve -x = 2*u - 10, -10*u + 6*u + x = -f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 5*t - 2 + 22, 2*d + 2*t - 10 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7)\/(r**(-4\/3)*r)*r\/(r*r\/r**(7\/2))*r*r*r*r**(-4)*r assuming r is positive.\nAnswer: r**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 21. Let l be (-5 - -3)*n*-1. Let k = -53\/2 + 269\/10. What is the second smallest value in 1\/4, k, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3522092.\nAnswer: 2, 7, 125789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + 0*x + 0*x + (2*x + 0*x - x)*(x + 4*x - 3*x) - 8*x**2 + 0*x**2 + 2*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**7\/48 + x**6\/24 + x**5\/48 - 23*x**3\/6 + 2*x**2. Let k(i) be the first derivative of r(i). Factor k(d).\nAnswer: -5*d*(d - 1)*(7*d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - j = -4, -2*i = -3*i + j - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from hyyykyddydyyyy.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - -2)\/(79\/(-474) - 9377\/(-56226)).\nAnswer: 2, 9371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46499 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 46*n + 4876. Let b be x(-106). Let p be (3 + -2*1)*4. Solve 3*k - 2*y + 6*y - p = 0, -5*k - 2*y + 2 = b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 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: Expand (-z - z + 12 - 10 + (-z + 0*z + 7*z)*(1 - 2 + 3))*(234 - 27*z**4 - 234).\nAnswer: -270*z**5 - 54*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 206\/87?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 64.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k*n**5 + 90*k*n**3 + 2*k - 2*n**5 - 6*n**2 wrt n?\nAnswer: 120*k*n**2 + 540*k - 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/11 in -1, 477, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/52710771 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-5))\/((-4)\/(-20)). Calculate the remainder when (-1)\/6 - (-278)\/g is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/3325 and -12\/323.\nAnswer: 56525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53\/(-212) - 318\/(-1368))*3.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + -65. What is the closest to -1\/5 in 0.1, z, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1078 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 13 + 0\/(1\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 4*g**2 - g - 4. Let h be w(3). Solve 0 = -h*r + r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.6? (a) 0 (b) 1\/61 (c) 1\/7 (d) 2\/3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -102c - 5?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2957*y**2 + 407*y - 2673*y - 2231*y**2 + 26*y + 3373*y**2 wrt y.\nAnswer: 8198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1769, -14050, -47371, -112250, -219205?\nAnswer: -378754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64327\/231 + 1965\/7. Find the common denominator of 37\/55 and u.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14881400 by -10.\nAnswer: -1488140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13044, 0.5, -1\/11 in ascending order.\nAnswer: -1\/11, 0.5, 13044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31854473 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158123 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 4*b - 7. Let h be q(-5). Let d(f) = -f**3 - f**2 - 2*f - 3. Let t be d(h). Solve t*y = -5*o + 30, -y - 1 = 2*o - 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*p + 144012 = 146196 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 7 = -11. Suppose -3*p - 3*r + 81 = 0, -f*r = -5*p - 2*r + 141. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 78621\/13 in -3\/4, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80 + 9*l**3 + 6*l**2 - l**2 - 85 to u + x*l**3 + g*l**2 + y*l and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**6\/360 - p**5\/30 - p**4\/24 - p**3\/2 - 5*p. Let u(w) be the second derivative of v(w). Is u(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -1)*92\/(-4). Let v = 149 - 64. Let n = i + v. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25378 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/2566 and -5\/26?\nAnswer: 33358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 287 + -255. Let z(q) = -q + 34. Suppose 4*c + 3 = 5*d - 28, -2*d - 5*c - 14 = 0. Calculate the remainder when d is divided by z(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -174 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l - 6. Let q be v(-5). Solve 2*m - 3 = 2*f + 1, -q*m + 5 = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 bigger than 743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**3 + 40*s**2 + 85*s + 50 = 0. What is s?\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4724233?\nAnswer: 4724233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49387?\nAnswer: 13, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 110 = 7*w. Let r(y) = 20*y + 61. Let p be r(-8). What is the remainder when w\/p - (-614)\/9 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 2*i = -14, -44*l + 50*l = -3*i - 33 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6208126 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12733.467 - -86.\nAnswer: -12647.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, s: 5, g: 11, b: 1}. Give prob of sequence pgg.\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-52))\/((-3)\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/6 + (-6)\/9. Let z be (5 - (2 + 4))\/(x\/9). Is z > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-804)\/(-7) - 5\/(-35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by (-86)\/(-4)*2 - 1.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 14*o - 12. Let u(d) = 4 - 3*d - 11*d - 2*d**2 - 16. Let i = -7284 + 7280. Let t(q) = i*u(q) + 3*p(q). Solve t(r) = 0 for r.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 5:55 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201, -203, -197, -183, -161?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1412949 or -1412997?\nAnswer: -1412949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1873*-0.5\nAnswer: -936.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1720 and 1505.\nAnswer: 12040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82774 is divided by 1150.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -4 (c) 0.34 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**12*d**1)**49*((d*d\/(d*d**(1\/4)))\/d*d\/((d**(-2\/13)\/d)\/d))**(-34) assuming d is positive.\nAnswer: d**(13995\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-39)\/(-72)*4. Let t = 0.3 + -0.6. What is the second smallest value in a, t, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unrpe. Give prob of sequence ru.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5499 and 564?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21 - 27) + 13\/2. Let p = -124 - -127. What is the nearest to -0.1 in c, -0.02, p?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*(-27)\/(-42)*10*(-70)\/2000?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2 - 15*o - 78. Let n be x(-8). Suppose q + 3*q = 12. Suppose -215 = -3*b - 5*m + 27, -3*b + q*m + n = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -109*k + 8. Suppose 0 = -2*q - 16 + 10. Is d(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10200111112 (base 3) to base 11.\nAnswer: 4a552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -169633, -5 in descending order.\nAnswer: -1, -5, -169633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-484)\/(-14) - 17440\/3815?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 9. Let b = -0.312 - -0.022. Let s = -0.01 + b. What is the smallest value in s, j, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1028, -2021, -3014, -4007, -5000, -5993?\n\"Answer: -993*w - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218557510 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 155654230411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-11 - 1) - (-181 + 166)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence biiy when four letters picked without replacement from ibyihdyb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.71? (a) 10191 (b) -4\/7 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 a when three letters picked without replacement from {d: 4, j: 3, a: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 4*u - 13. Let p be w(6). Let r be 7 + p + (-3 - -1). What is the units digit of r\/18 - (1148\/(-18) - -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18549312 to the nearest integer?\nAnswer: 4307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43705264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 240884798 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2563 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 542 + -4?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13091858 divided by -74\nAnswer: 176917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*y = -3, 8*c = 5*c - y - 3. Let q be 25\/9 + (-6)\/27*c. Solve q*b = -7 + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b**3 - 9*b**2 - 2*b. Suppose -f + 1 = -7. Let a = -4 + f. Suppose -a*u = 3 + 13. Let v(m) = -3*m**3 + 4*m**2 + m. Determine u*j(g) - 9*v(g).\nAnswer: -g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59771\/14644 + 24\/523. Find the common denominator of 115\/28 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1846624816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sat when three letters picked without replacement from {a: 1, s: 1, n: 2, t: 1, c: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Suppose 0 = -2*q + 8 - m. Solve -2*r + q = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-8)*((-714)\/126 + (-1)\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7 + 28*f**2 + 16*f**2 - 48*f**2. Let x(c) = -c**2. Calculate x(n(h)).\nAnswer: -16*h**4 - 56*h**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -2 (c) -3\/56 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-55)\/15))\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w**3 - 3*w**3 + w**3 + (2*w + w - 4*w)*(-3*w**2 + 3*w**2 - 9*w**2))*(-11 + 4*w + 11) to the form v*w**4 + q + a*w + n*w**3 + b*w**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 7, 121, 1, -1 in ascending order.\nAnswer: -1, 1, 2, 4, 7, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**3 - 29*m**2 + 54*m - 333. Give g(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**0\/b*b))\/b)\/(b*b**(1\/2)))\/(b\/((b\/b**1*b)\/b))**36 assuming b is positive.\nAnswer: b**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5197, -20866, -46981, -83536, -130525, -187942?\nAnswer: -255781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1243946 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + s + 8. Let b be 0*(-4 + 14\/4). Calculate c(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6.623 - -0.4\nAnswer: -6.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 4081.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010111 + -10101?\nAnswer: 11000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167101178, 334202357, 501303536, 668404715, 835505894, 1002607073?\nAnswer: 1169708252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -24, -17, -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in -2.78, 52, -5?\nAnswer: -2.78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b + 215 - 197 + b - 3*b. Let a be v(-6). Let q be (1 + a)\/(-1)*-2*-2. Is q smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76 (base 10) to base 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 558, 1143, 1728, 2313, 2898?\nAnswer: 3483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009837323567 rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1776362?\nAnswer: 2, 7, 31, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 11*o = -140. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52119017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and -119.\nAnswer: -2618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/7? (a) -1\/5 (b) -2\/35021 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.053842398 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**3 + 251956*i**2 + 3023184*i = 0.\nAnswer: -125966, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -465827739 divided by -6.\nAnswer: 155275913\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 40 = -3*l. Let h(m) = 6*m + 4. Let g be h(11). Suppose -l*x = -3*x - g. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2922.1 + 2922. What is the biggest value in -152, 25, -4, a?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -3\/20*c**5 + 2 + 1\/2*c**2 + 3*c + 0*c**3 + 0*c**4. Let b(z) be the first derivative of l(z). Differentiate b(a) wrt a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bumgk. What is prob of sequence km?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 17\/15*g**5 + 0 + 0*g - 1\/8*g**4 + 35*g**2 + 1\/2*g**3. List the prime factors of n(1).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*z = 15, -3*u - 27 = -4*z + 2. Suppose -4*p + 9 = -p. Put 5, u, p in increasing order.\nAnswer: u, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166223548?\nAnswer: 2, 971, 42797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -18\/5*z**4 + 42\/5*z + 34\/5*z**2 - 66\/5*z**3 + 8\/5 = 0.\nAnswer: -4, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927033 is divided by 1514.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(539)*4)**2 - -1*(sqrt(539) + sqrt(539) + 4 + sqrt(539)).\nAnswer: 21*sqrt(11) + 77620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*p = -3*g + 30, -5*g + 47 = 3*p. Let v(w) = -w**3 + 7*w**2 + 3*w - 10. Is 4 a factor of v(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -54. Let l = -2 + 14. What is the least common multiple of l and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(33)\/sqrt(44) - 1*(2*sqrt(3) - sqrt(3)) - -5*(-4*(sqrt(75) + -2 + sqrt(75)) - sqrt(75))**2) + 2.\nAnswer: -7199*sqrt(3)\/2 + 30697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {a: 2, p: 2, z: 2, o: 4, n: 3}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q - 33. Let j be p(5). Let k(c) = 235*c**j + 4*c + 4 + 13 - 236*c**2. Let o be k(-3). Is o less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/190 and 7\/2314.\nAnswer: 219830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91576552 to the power of 1\/2, to the nearest integer?\nAnswer: 9570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2134271135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auuu when four letters picked without replacement from uudduuda.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 83309679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 - 2*f**2 - f**2 - 128*f**3 + 87*f**3.\nAnswer: -41*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -2\/481, 4\/3.\nAnswer: -2\/481, 1\/4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 5:33 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 5*d - 5, -4*m - 994 = 4*d - 998 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 378 + -315. What is the remainder when z is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/399191 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n**3 - 713*n**2 - 100*n - 207. Determine v(102).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -20, 6*j - j = -2*r + 25. Suppose -1 = -u + 3*a, -u + j*a = u - 2. What is the least common multiple of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -18 + 3 - -3) + 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -424 (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 19*r**2 + 16*r - 64. What is the remainder when 76 is divided by k(-20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u - 10 = -x, -3*x + 21 = -3*u. Suppose x*n - 5 = 15. Suppose 3*j - n = 2*j. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 2:51 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23158*h + 23159*h - 46316*h + 9*h**2.\nAnswer: 9*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g = 8. Let t = -1 + g. Suppose -4*w + 8 = k - t, -w + 26 = 5*k. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j - 25. Give b(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -337, -1320, -2939, -5194?\nAnswer: -8085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 581 - 579. Solve 2\/11*x + 0 - 2\/11*x**t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(468))**2.\nAnswer: 36*sqrt(13) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1700258918?\nAnswer: 2, 850129459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454 - 158 = 34*n. What is the third biggest value in 3, -5, 2, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -51. Suppose 3*l - 5*k = s, 3*k = k. Solve o + l - 1 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117)*-2 + 5 - (6*sqrt(117)*-2 - sqrt(117))) + -5*(sqrt(117) - (-1 + sqrt(117) + 0)))*-6)**2.\nAnswer: 509652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2288 is divided by 2076.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1203203 != -1203204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0693*0.25.\nAnswer: -0.017325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+79560471\nAnswer: 79560471.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -162 - -146. Let b be (9 + -5)\/(2\/17). Let j = 18 - b. Are j and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32815\/(-114975) + 2\/7. Let n = 119357\/6570 - f. Find the common denominator of -17\/12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 8. Suppose -y = -m + v, 3*y - 3 = 4*m - 19. Is 10 a factor of (m + 0)*3 - -12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1911 and 100464.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o + 5*q - 24, 4*o = 4*q. Suppose -6575996 = -o*v - 2*u, 2*v - 1644952 = -5*u + 1643038. Round v to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -311 - -312. Let p be (-3 + z)*(-2 + 4). Sort p, 1, -2.\nAnswer: p, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7134 - -13419. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114756 = 3*l + 33126. What are the prime factors of l?\nAnswer: 2, 3, 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5046*4090\nAnswer: -20638140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5*(-4*sqrt(1872) - sqrt(1872)) + sqrt(1872)) + -4)**2 + 2.\nAnswer: 9216*sqrt(13) + 17252370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1508320, 8, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 9516803?\nAnswer: -14\/9516803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.3 (b) 3\/5 (c) 92 (d) 0.232\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767359.\nAnswer: 767359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27021 - 18456 = -813*b + 1677 for b.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17718.25 + 216.\nAnswer: -17502.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 27*s**2 - 27*s + 63. Let a be f(28). What is the greatest common divisor of 65 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, t: 11}. Give prob of picking 4 p.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -441, -347, -249, -147, -41?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -391\/324 - -118\/81. Let 0 + 3\/4*n**2 + 0*n - y*n**3 = 0. What is n?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37959447 to the power of 1\/2, to the nearest integer?\nAnswer: 6161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 154?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9219568 times -0.21\nAnswer: 1936109.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -7, -157, -82 in decreasing order.\nAnswer: 3, -3, -7, -82, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 25*k + 28*k - 60*k = -126, 3*a + 76 = -4*k for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25351*q**2 - 25*q**3 - 7*q**3 + 0*q**3 + 48 + 25351*q**2.\nAnswer: -32*q**3 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*s + 22 = 4*s, -4*n + 66 = -2*s. Let q(z) = z**2 - 16*z + 13. Let x be q(n). Let y(l) = -l**3 - 15*l**2 - 8*l - 5. Is y(x) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1633*46*66\/(-69828)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2516 and 124468407.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1254 and -125\/4686.\nAnswer: 89034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 354 (base 16) to base 7.\nAnswer: 2325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 15 = 5*r + 11*j, -2*j - 9 = -r. Solve -b + r - 2 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 + 150. Suppose -4*u = -0*u - s. Let g(a) = a**2 + 2*a**2 + 7*a**2 - u*a**2. Let n(r) = -14*r**2. Determine g(n(f)).\nAnswer: -392*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45886, -183541, -412966, -734161?\nAnswer: -1147126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 - 0.09. Let v = 0.03 + w. Let p = v - -0.000016. Round p to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31.918 - 32. Let a = x + 0.081929. Round a to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 1:41 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 6:55 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 2307*j**7\/7 - 226*j**3\/3 - 2*j + 2655. What is the third derivative of q(x) wrt x?\nAnswer: 276840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28527920 to the nearest ten thousand.\nAnswer: 28530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {o: 1, s: 2, q: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009642 rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-8))\/(4\/(-5)*9\/216).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 785521327?\nAnswer: 3407, 230561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16716510 + 1?\nAnswer: 16716511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 52, 114, 190, 274, 360?\n\"Answer: -d**3 + 16*d**2 + d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n + 8 = 19*n. Put 1, 3, 4, n in ascending order.\nAnswer: n, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*m - 8 + 2 = 0, -2*k + m + 3 = 0. Let h be 6\/126*(-2 - 1). Which is bigger: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(68)*1 - (sqrt(68)\/sqrt(4) + 5))**2 + 4 + ((1 + sqrt(34)\/sqrt(2) - sqrt(17)) + sqrt(17))**2*-6.\nAnswer: -188 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y + 5. Let c(h) = 5*h - 1064 - 1079 - 1076 + 3214. What is -5*c(p) - 6*r(p)?\nAnswer: -p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 34*i + 102 = -32*i, -4*o - i + 195 = 0. Calculate the remainder when 201 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 12.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33791\/14 - 2408. Let y = -448093\/18 - -24887. What is the common denominator of n and y?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7211382017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 621 and 21872.\nAnswer: 13582512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11991 - 21404*u**2 - 11991.\nAnswer: -21404*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5\/(t*t*t\/(t\/(((t*t*(t*t*t*(t**(-2\/13)\/t)\/t*t*t*t)\/t)\/t)\/t))*t))\/(t**0\/(t\/(t\/t**(-10))*t)) assuming t is positive.\nAnswer: t**(-128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -655.276432 and -0.073722?\nAnswer: 655.20271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-220)\/30*-9*-24*(-85)\/5 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/k**(-2\/5)))**32*(k*k\/(k\/k**0))**(-50))**(-6\/19) assuming k is positive.\nAnswer: k**(924\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/((33\/264)\/(7\/196)*(-12)\/56).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -22) + 33 - 37.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 5 + (-1 - 0) + -3 + -25?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-7)\/o**4 assuming o is positive.\nAnswer: o**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g - 2*g**2 + 3*g**2 + 76 + 3*g**2 + 0*g**2 - 93. Let p be c(3). Calculate the greatest common divisor of p and 782.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*j + 4*h - 26, 0 = -5*j + h - 22. Let l be 0\/1 - (j - -1). List the prime factors of (l\/(-4))\/((-2)\/32).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77141 is divided by 327.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a. Let u(c) = 2942*c**2 + 759. Calculate w(u(y)).\nAnswer: 5884*y**2 + 1518","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = l + 1, 2*l - 4*l = -5*p + 20. Find the second derivative of -77*j - 8*j**3 + 3*j**2 - 3*j**p + 52*j wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15773.\nAnswer: 15773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 7:11 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*b + 10. Let i be b\/8 - 36\/(-16). Let y be 1 - (-1 - -1 - i). Let j(h) = -h**3 + 2*h**2 + 4*h - 3. Give j(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from lwwwwlwwwww.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -5, 1\/8, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 54*w + 18. Let m(v) = v**2 - 230. Give h(m(r)).\nAnswer: 54*r**2 - 12402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 9*l**2 - 27*l + 11. Let i be c(6). Are i and 81 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -0.3, -0.08, 3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + 1. Let i = -3.2 - -3. Let x = v + i. What is the nearest to 0.1 in -0.2, x, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29953, -59886, -89819, -119752, -149685?\nAnswer: -179618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (0 - 0)) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -346382, -692824, -1039264, -1385702, -1732138, -2078572?\n\"Answer: d**2 - 346445*d + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + a**2 + a + 1. Let h(o) = 24*o**3 + 27*o**2 - 4*o - 4. Let x(t) = h(t) + 4*j(t). What is the third derivative of x(u) wrt u?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003896 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -76*q**2 - 634*q - 28. Give u(-9).\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.4 times -1.52042?\nAnswer: -131.364288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 22*u**2 - 6*u - 84. Is 28 a factor of j(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2513*v**2 + 442*v**2 + 1868*v**2 + 2*v - 2*v.\nAnswer: 4823*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 7*j**6\/60 - 5*j**3\/6 + 11*j**2. Find the first derivative of z(q) wrt q.\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l. Suppose 0*r - 2*r - m = -10, 2 = 2*r - 3*m. Let i(o) = -o + 2. Let t(s) = 2*s - 3. Let y(k) = r*t(k) + 6*i(k). Give q(y(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -17*x + 4*x. Let l(z) be the first derivative of z**2 - 6*z - 5. Let n(c) = -2*c + 5. What is x*l(y) + 6*n(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5587878.\nAnswer: 2, 3, 931313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/8))**(-46)\/(o*o**(4\/9))**(-6) assuming o is positive.\nAnswer: o**(311\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/124 + ((-7776)\/4278)\/12.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -323.0884\nAnswer: 969.2652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 172, 172, 182, 208, 256, 332, 442?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24880 and 380.\nAnswer: 472720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44961668 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.92 + 0.08. Let q = k - 5.5. Suppose 0 = 3*v + 14 - 29. Sort v, q, -1\/7 in increasing order.\nAnswer: -1\/7, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*n**3 + 25*n**3 - 7*n**3 + (-2 + 0 + 0)*(-n**2 + n**2 + 2*n**3) in the form h*n**3 + a + m*n + b*n**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*q - 24 = -2*v, 5*q - 35 = -5*v. What are the prime factors of (3 - 46\/v)*-4?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**2 + 813*i = 0.\nAnswer: -271, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.4, -8, -13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 20 = -3*d, -5*d + 38 = -5*z - 2. Calculate the greatest common factor of 18 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 9*h + 103 - 86, -13*r + 8*r = 5*h + 65 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32.58 + -33. Let r = -48.715 + 43.715. Which is the nearest to w? (a) -0.2 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 9:01 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-9) - (52\/(-3))\/4. Suppose 4*d - 4 = -t*y, 0 = 4*y - d - 4*d - 22. Solve 0 = -y*a - 1 + 10 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37440\/19 in -1\/3, 2\/5, 1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454 = -5*r - q + 116, -r + 125 = -2*q. Suppose 4*s - 145 = 5*x, 5*x = -2*s + 5*s - r. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38519.49cm to millimeters.\nAnswer: 385194.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11940 + -11935. Let r(t) = 42*t**3 + 4*t + 4. Let v(i) = 41*i**3 + 5*i + 5. Calculate h*r(s) - 4*v(s).\nAnswer: 46*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108, -344, -8, 247.\nAnswer: -344, -108, -8, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -245503835?\nAnswer: -245503835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 + 15 + 29 - -69.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -5*d + 7 - 0, z + 3 = 2*d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 + 3*b + 4. Suppose -5*g - 25 = 0, -4*z = -9*z + g. Let v be s(z). Let l be (-3)\/(-3)*v*(-1 - -2). Which is bigger: l or -1\/114?\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5920 - -5912 - (2 + (-1 - 1) + -6)) + 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-8)\/(-10)))\/((8\/(-6))\/((-6240)\/32175))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0 + 270*s - 10707*s**2 + 10704*s**2 = 0. Calculate s.\nAnswer: 0, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p + 2*p + 2*p + (1 - 3 + 7)*(3 + p - 3) + 8*p - 3*p + 3*p as d + m*p and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 357 and 11?\nAnswer: 3927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 + 1 - 22*m**4 + 24*m**4 - m + m**3 - m**3 in the form s*m + d + a*m**3 + z*m**2 + f*m**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of -1 - (-26)\/(-4)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - -4.07. Let f = 0.1 - y. Let s = -0.367 - -0.167. What is the nearest to 1\/4 in 1, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-252)\/(-896)*(-9)\/((-108)\/(-32))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90880601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1617))\/(-3*sqrt(539)).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -6. Let p = -2 + z. Solve 4*w - 2 = 2*n, -5*n + 4*n - 4*w - 7 = p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 14. Suppose 4*w - l = 3*w. Let f = w + -4. Solve -4*g + f = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.007 - -10.993. Let x = 35\/4 - 9. What is the third smallest value in -2\/11, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from znwncnnnwnvvwzcnwwn?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-0.09.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -224157316823 - -0.1\nAnswer: -224157316822.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -828 + 826. Let i be (-29 - -2)\/(5\/15). Is q less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 2\/5 (c) 255\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 11*j**2 + 7*j + 29. Determine w(-11).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -593319\/152302 + 1089\/271. Let m = w + -27237\/8992. What is the common denominator of m and 17\/10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/9 + (-2)\/3. Let v(f) = f**3 + f**2 - f - 1. Let w(m) = 4*m**3 + 3*m**2 - 3*m + 1. Let l(r) = b*w(r) - 6*v(r). Differentiate l(h) wrt h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 g when three letters picked without replacement from {g: 1, f: 12, v: 1}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17155794 divided by 123?\nAnswer: -139478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34\/3 - 67\/6. Which is bigger: -0.7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2.1. Let a = -6.02 + 0.02. Let g = a - -6. Put k, g, 5 in decreasing order.\nAnswer: 5, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o**3 + 9*o**2 + 3*o + 13. Let p be k(-7). Let f be (p\/6)\/(-9)*2. Let y = f - 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -18*i + 17*i. Suppose i*z = 4*z + 1456. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73794 + 36901 - 369*b**3 + 36893.\nAnswer: -369*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 18*h - 13375 = -22*h. What are the prime factors of h?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*w**3 - w**3 + w**3)*(7*w - 3*w - 2*w) + (-6*w**2 + 3*w**2 + 2*w**2)*(-14*w**2 + 31 - 31))*(w - 3*w + 6*w) - w**5 + 0*w**3 + 0*w**3.\nAnswer: 31*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + p + p)*(6*p + 13*p - 9*p)*(3*p**2 - 4*p**2 - 2*p**2).\nAnswer: 60*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*s = 57*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84312 by -6.\nAnswer: 14052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 times 0.299?\nAnswer: 13.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18883 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -70843 greater than or equal to -70843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/16*(-254)\/(-381)*(-174)\/209 and -77\/114.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306 and 672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*x - 176. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 1)*-4.\nAnswer: -48*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3226 or -3228?\nAnswer: -3228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92636335?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(((-609)\/35)\/29)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1681071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -1, 2, 14.\nAnswer: -5, -1, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 134*q**2 - 315*q - 4659. What is the thousands digit of m(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) - 9688\/(-5). Suppose 2*y - f - 2989 = 0, 3*y - 2552 - c = -5*f. Is 115 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1275, -1300, -1325, -1350, -1375?\nAnswer: -1400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 7*u + 312, -2*t - 245 + 79 = 7*t + 4*u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 299534306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1208123943.\nAnswer: 3, 13, 59, 525043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 12, r + 3*r - 4*k = -368. Let c be ((-8)\/(-5))\/(19\/r). Let t(j) = 10*j**2 - 8*j - 8. Let i(w) = -w**2 + w + 1. Calculate c*i(h) - t(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 13 + (-3780)\/180. Let p(l) = -5*l**2 + 8. Let u(f) be the second derivative of -f**4\/6 + 3*f**2\/2 + f. What is m*u(b) + 3*p(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141 + -136. Let j = 63 - q. What is the remainder when j is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**4\/4 + 46*h**3\/3 - 49*h**2\/2 + 188*h - 7417. Determine q(45).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*m**3 - 2*m**3 - 3*m**3 - 2*m**3 - 6*m**3 + 40*m**3.\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 1, d: 2, u: 3}. What is prob of picking 1 d and 1 u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 524 + 545. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1209, 0, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 190?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 690 by 5.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 - -38. Let g = -4 - q. Let o = -26 + 38. Calculate the remainder when g is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10186 is divided by 91.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 + 78888472*u\/3 + 777923876811848\/3.\nAnswer: 2*(u + 19722118)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3 = 0, 6*x = -u + 2*x + 6. Let a = 7 + -11. Let h = -3 - a. Solve h + u = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31017*u + 334 = -2*v + 31013*u, -3*v = -12*u - 993 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 9*s**2 + 13*s - 16. Let x be p(-7). Let j be -1 - (4\/(-3) + 33\/x). Calculate the remainder when 20 is divided by (7\/1 - j) + 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/42 and -86\/189.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1720)\/(-774) - (-4)\/(-54)*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85282795\/456 - 187024. Calculate the common denominator of n and -39\/10.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2. Suppose 21 + 7 = 4*n. Let r(s) = -n*s**2 + 4*s**2 - 10*s**2 + 3*s**2. Determine a(r(m)).\nAnswer: -100*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = k - 160, -2*k - 131 = 6980*m - 6983*m for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -22 + -29 + 36?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3)*l)\/l**4)**(-42) assuming l is positive.\nAnswer: l**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/70678, -1, 1, -12?\nAnswer: 1\/70678","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139*l**3*z**3 - 5*l**2*z**3 - l*z**3 - 25*l*z wrt l.\nAnswer: -834*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 - 113 = -4*t. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 205 or 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1\/n**(-10))\/((n\/n**(-1\/6)*n)\/n)**(-4\/27) assuming n is positive.\nAnswer: n**(905\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 1:26 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 0*d - 90*d + 51*d + 32*d + 6*d + 2*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1825805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, a: 1}. What is prob of sequence dad?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 16. Calculate the remainder when 70 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.01, -1\/4, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.53 - -0.33. What is the nearest to 0.1 in f, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9996 (base 10) to base 11\nAnswer: -7568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*j - 6. Suppose -j - 1 = -h. Suppose -5*g - 2*s = -77, -5*s = -7*g + 6*g + 37. What is the remainder when g is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6244645747?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03804 + -0.91036. What is k rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 27, -7, 0 in descending order.\nAnswer: 27, 6, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - x - 18 = 0, -6*d + 3*d = 5*x - 25. Let n = 36 - 20. Suppose 17*k = n*k + 2. Solve -c + 4 = -d*y, 0*c - 12 = -k*y - 3*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 12. Let o = 13 + -19. Let j(n) = -9*n - 5. Let d(u) = 10*u + 6. Let a(s) = o*d(s) + t*j(s). Find the first derivative of a(w) wrt w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**13\/i**(1\/8)*i\/(i\/(i\/(i**(-1\/3)*i)))*i**(-3\/2))**(-26\/7) assuming i is positive.\nAnswer: i**(-3653\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2 - (-11 + 14))*-8. Let n be (r\/(-18))\/((-1)\/3). Let x(g) = -22*g + 22*g**2 - n - 22*g + 44*g. Let i(s) = 2*s. Calculate i(x(h)).\nAnswer: 44*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-15))\/(3\/(-15)). What are the prime factors of (2\/(-6))\/(k\/78)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + r = 61 + 114, -320 = -5*j + 4*r. Let k = 21 - 19. Suppose -3*u - k*u + j = 0. Calculate the remainder when 35 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3465, 3461, 3445, 3411, 3353?\nAnswer: 3265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56495*y + 56495*y + 10*y**3.\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -29917 = -2632647\/88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5733 and 57.\nAnswer: 108927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-4 + 1 - (-19 + 16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 + -3.3. Which is the third smallest value? (a) m (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-5)*(-10)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1117*r**2 + 2*r - 221639.\nAnswer: -2234*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8076771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d - 2369*d**3 + 19*d + 2432*d**3.\nAnswer: 63*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1 - 5*q - q - 2. Let r be g(-1). Solve 10 = 2*k - p + r*p, 2*k + p = 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 40178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-2)\/8*-8. Let n be (4\/8)\/((-3)\/t). Suppose -17 = -m + n. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/132 and -82\/13089945.\nAnswer: 52359780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 19*h - 40. Let b be i(6). Suppose 3*x - 58 = -b*x + 4*o, 0 = -5*x - o + 73. What is the lowest common multiple of x and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 10. What is the remainder when 11 is divided by (1 + w)*(-21)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 = -3*k, 6 - 26 = -5*k. Let f = v - -4. Sort 3, f, 2 in descending order.\nAnswer: 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*a**3 + 42*a**3 + 36*a**3 + 39*a**3 + 32*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 - 8653\nAnswer: -8649.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 9 + 2)*(-p**2 - 2*p**2 - 2*p**2 + (0 + 0 + 2)*(5*p**2 - 3*p**2 - 3*p**2)).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 240 - 171. Suppose 6*p = f + 9. Let d(i) = -i + 18. Let c be d(p). Solve 3*k + 3*z + 29 + 1 = 0, -z + 20 = -c*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 5\/3, 4, -2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 25, 54, 87, 124?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p. Let d(v) = 3*v + 6*v - 4*v. Determine r(d(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 521 - (-21)\/(-9)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2 = -5*v, 5*q = -2*v + 4*q - 1. Let d = 23\/38 + -2\/19. What is the nearest to 1\/2 in d, v, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77.088 - -0.088. Let h = j + 76. Sort -2, h, -0.1, -1\/15 in descending order.\nAnswer: -1\/15, -0.1, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 15 - 6*j + 14 + 22 - 2. Let o be g(10). Which is the closest to 2\/3? (a) o (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 2 = -3*i - n, 3*i + 2*n = 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -689 + 691. Let i(u) be the first derivative of 1 + 9\/4*u**4 - u**3 + 0*u**p + 0*u. What is the third derivative of i(d) wrt d?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from godxxmgdmmxddodd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-2 - -1)*1. Let u(q) = 18*q. Let p be u(k). Let r = p + -11. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*l - 12 = 0. Let b = 42 - 42. Suppose -4*j + 31 + 25 = b. Solve -3*q = l*p - 2*q - j, p + 2*q = 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33383 + 286.7\nAnswer: 33669.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (25\/15)\/(15\/18). Let b(s) = s + 64. Is 66 a factor of b(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(14\/8))\/(9\/126).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 smaller than 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/9, 3\/8, 3, 3.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -8521.55?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7498 + 0.2502. What is the third smallest value in 2\/9, 5, 16, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.338068 + -502484.661932. Let j = i - -502485.1699865. Let a = -0.17 + j. Round a to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 57. Let k(i) = 35*i**3 - 5*i**2 + 25. Let d(a) = 34*a**3 - 4*a**2 + 25. Let l(y) = o*d(y) - 4*k(y). Differentiate l(u) wrt u.\nAnswer: 90*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -23*x**5 - 4*x**4 + 16*x**2 + 4. Let k(z) = -z**4 + z**2 + 1. Let s(q) = 4*k(q) - o(q). What is the third derivative of s(c) wrt c?\nAnswer: 1380*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72529 to the power of 1\/2, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 823*x**3 + 6.\nAnswer: 823*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**3 + 0*b**3 + 2*b**3 + (4*b**2 + 0*b**2 - b**2)*(b - 5*b + 2*b) - 13 + 13 + 22*b**3.\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*i + 76*i - 18*i + 2*i - 2*i - i - 3*i + 2*i - i + (0 - 2 + 3)*(3*i - 2*i - 2*i) + 4*i - 4*i - i + i + 0 + 0 + i + 2*i - 5*i - 3*i + 2*i + 3*i.\nAnswer: 37*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 29 = -17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2*j + j)*(0*j + 0*j - 2*j)*(-3 + 9 + 3).\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*6\/(-42)*1. Put -4, 1, d, 2 in ascending order.\nAnswer: -4, d, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**5 + 4*f**4 - 4*f**3 + 4*f**2 - f + 4. Let v(z) = -4*z**5 - 4*z**4 + 4*z**3 - 3*z**2 - 3. Let j(d) = 6*v(d) + 5*y(d). Let j(n) = 0. Calculate n.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-7 + 8 - (-2 - -9))) + -20.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = -1207 - 13013. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37*(-32 + 41)\/9?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624128 is divided by 74.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57563 - 11390 = 522*d + 779*d for d.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 14 + 243*s - 14)*(1 - 3 + 4) as d + u*s and give u.\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/8))**(-8\/5) assuming a is positive.\nAnswer: a**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -115, -446, -1105, -2200, -3839?\nAnswer: -6130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*g - 153 = 5*g, 0 = 5*z + 5*g - 210. Suppose 5*o - p - 65 = -6*p, z = 3*o + 2*p. Solve -h - 4*k + k + 10 = 0, o = h + 4*k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*(8\/(-12) + 179\/3)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -28. Let j = 32 + n. Suppose -4*g + j = -3*g. Is g 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 406 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**5\/60 + z**4\/6 + z**3\/3 - 18*z**2. What is w(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20752 is divided by 6914.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 2:07 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 61181.01 weeks in nanoseconds?\nAnswer: 37002274848000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8304660506 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.54 plus -128?\nAnswer: -141.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 9*a**2 + 0 + 2*a + 1\/12*a**4 + 1\/3*a**3. Let h be z(0). Solve -2 = -5*k + h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -96734 greater than or equal to -96748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(3\/19))**(24\/11) assuming s is positive.\nAnswer: s**(72\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2370*a - 2844. Let c(w) = 2*w - 2. Determine 1422*c(z) - k(z).\nAnswer: 474*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000059011604 rounded to 6 decimal places?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1537934 times -0.5?\nAnswer: 768967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 11:54 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26\/9 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1809 - 2*l**3 + 276*l**2 - 160495*l + 160495*l with respect to l.\nAnswer: -6*l**2 + 552*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**2 + 3*x - 2. Let c be y(2). Let b = 40 - 23. Let k = c - b. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**2 + 4*f**2 - 2*f**4 + (f - 4*f - 3*f)*(f - f - 3*f**3).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**2 + 3. Suppose 2*u - 2*p - 2 = 0, -3*u - 2*p + 14 = 1. Let v(d) = -d**3 + 4*d**2 + 2. What is u*v(s) - 2*l(s)?\nAnswer: -3*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7*o = 0. Suppose -j + 4 = -p, 2*p + 15 = 3*j - o*j. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29295 less than 29293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 16. Solve -7*c + c = a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from pppubupbuuu?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 1 + 4)*((1 - 1 - 2*f**2)*(-2*f + f + 0*f) - 18*f**3 - 16*f**3 + 0*f**3 + 11*f**3 + 5*f**3 + 18*f**3) to q*f**2 + a*f**3 + s + n*f and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59359263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38913*u = 38831*u + 738 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q**3 - 4*q**4 - 6*q**3 + (-3*q - q + 5*q)*(-q + q**3 + q) + (2*q**3 - 3*q**3 + 3*q**3)*(q - 2*q - 7*q).\nAnswer: -19*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 2*u - 120, 2*c - 4*u - 2940 = -2860 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 20. Let r(a) = -13 + 9*a**2 - 9*a**3 + 10*a**3 + 4. Let g be r(-9). Which is smaller: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-14)\/(-36)) + -21 + 24.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 3*a + 1. Let z be r(-2). Let p(l) = 7*l + 6. Let i be p(z). Is 13 a factor of 1*((-78)\/12)\/(i\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -27 + 19. Let x be 2\/(-2)*(-1 + 1). Put -4, y, x in decreasing order.\nAnswer: x, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 390.4 and -1.386?\nAnswer: -541.0944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3)*p**4\/p)\/((p\/p**0)\/p)**34 assuming p is positive.\nAnswer: p**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 8*j - 5*l = -6, 0 = -l + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 10800 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 20 = -z, 0 = -z + 6*z - 4*a - 5. Solve -3*t - 18 = 3*r, 4*t - z*r + 4 = 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 13734.\nAnswer: 151074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.95 - -0.05. Let d = i + -10. Sort d, -2, -1\/6.\nAnswer: d, -2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuiituiagoutiti. Give prob of picking 1 g, 1 i, and 1 t.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 235556*j**3*q**2 + j**3*q + 3*j**2*q + 4565*j*q**2 + 5*j - q wrt j?\nAnswer: 1413336*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*y + 4887 = 1257 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**2 + 61806*m + 318331803 = 0. Calculate m.\nAnswer: -10301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (63 - 40) + 19 - (3 + 18)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12012591, -12012572, -12012553?\n\"Answer: 19*t - 12012610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16106475?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p - 2*s = -13, -5*p = 2*s + 11. Let l be (-1 + p)*(-2)\/(-4). Sort l, 8, -16.\nAnswer: -16, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 4*q. Let m be 3*((-2 - 0) + 3). Suppose m*d - 7*d - 16 = 0. What is the tens digit of l(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 3256 - 1574 = 0. Suppose -w = 109*y - 111*y. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (174 - 78 + 123)*(-2*h**5 - 2*h**5 + 2*h**5 + 0*h**5 + h**5 + h**5 + (0 + 0 - h**2)*(0*h**3 + 0*h**3 - h**3) + 0*h**4 + 0*h**4 - 2*h**5).\nAnswer: -219*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 39\/(-104)*-16\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 22*v**2 + 23*v + 4. Let l be m(23). What is the second derivative of 17*u - 3*u + 4*u + 0*u - 10*u**l wrt u?\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -4, -5, 4, 8.3 in descending order.\nAnswer: 8.3, 4, 2\/13, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttqtq. What is prob of picking 2 t?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s = 106 + 134. Solve -12*p + 4 = -s*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 8*i**2 + 6*i - 5. Let v be r(-6). What is the second derivative of 16*t**3 + 3*t + 18*t**3 - v*t**3 wrt t?\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 - 1. Let h(n) = -9*n**2 + 1. Let x(t) = 38*t**2 - 4. Let d(y) = 26*h(y) + 6*x(y). What is -3*d(l) - 7*m(l)?\nAnswer: -3*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-45) + (-1418)\/(-18). Suppose u = -4*c + 419. Suppose 2*x + 0*w = -4*w + 38, 5*x - c = -5*w. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 270*f - 3*f**2 - f**4 + 5 + 9*f**3 + 2 - 11 + 271*f to q*f**4 + x + t*f + k*f**2 + z*f**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h - 4*z - 33 = 0, 2*z - 15 = -h. Find the common denominator of -39\/80 and (70\/20)\/(3\/h).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-30)*-3 - 2514\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/29 in 2\/23, 5\/19, 24, 0.23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 866\/6 + (4\/(-12))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a millisecond in microseconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 15*c**2 - 34*c + 3. Let p be (-183)\/(-27) + -7 + 465\/27. Let a be k(p). Solve 0 = -4*i - 2*v - 20, -i - 5 = 2*v + a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 167 - 167.1. Is 11.2 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -3*g**2 + 5*g**2 - 7*g**2 - 5 + 2*g**2. Let x(s) = -s + s - s**2. What is n(x(c))?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 + 557767*n - 3346606\/3.\nAnswer: (n - 2)*(n + 1673303)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 602, 0, -0.2, -0.34?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/9 (b) -0.4 (c) 1521 (d) 1\/74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zazzzzzazazzzz. Give prob of picking 2 a and 2 z.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2321331 (base 4) in base 16?\nAnswer: -2e7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n - 36*n + 24 + 16. Let y be b(-7). Suppose 2*k - y = -3*k. Does 24 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3756116 and 46132?\nAnswer: 2428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6896246 or 1?\nAnswer: -1\/6896246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.2. Let o = -3530 + 3556. Is o less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 1:11 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 32?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 602\/16789 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5202476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 11. Let g be 2\/15 + m\/3. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (7 + -1 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16.116, -8268, -0.4?\nAnswer: -8268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.089 * 24782.\nAnswer: 2205.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4555*g + 31815. Determine t(7).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 8 = 4*i + g, i + 4*g - 2 = 0. Suppose 0*k + 1497 = i*k - 5*w, -4*k + 3001 = -3*w. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -25*m**2 - 1623*m + 9787. What is u(6)?\nAnswer: -851","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62707 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 16035090 to the nearest one hundred thousand.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-93)\/12*(23 - 19). Let g = 33 + u. Solve -y - 25 = -5*i, -2*y - 2*y + g*i - 28 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223796 at most 223793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3874, 3822, 3748, 3640, 3486, 3274, 2992, 2628?\n\"Answer: -2*r**3 + r**2 - 41*r + 3916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -531 - -521. Suppose 0 = -2*s - 2*r, 5*s - 2*r + 0*r + 28 = 0. Put s, -3, c in ascending order.\nAnswer: c, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 + 48. Let a be (-17 - -17)\/(2 - i). Suppose -v + 28 = y, y + 104 = 3*v - a*v. What is the smallest common multiple of 18 and v?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 767 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ybvvrvvvybvvbavvv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 69332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411029836?\nAnswer: 2, 7, 2097091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 246\/14 + -18 + 802\/(-7). Are v and -125 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 4 + 6 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (6\/6)\/((-2)\/478). Let n = 31 + 31. Let x = y - n. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 529*a**3\/3 - 10603*a**2\/3 + 47432*a\/3 + 58564\/3 = 0?\nAnswer: -1, 242\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -104258561.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 646 + -646.00001006. What is k rounded to 7 decimal places?\nAnswer: -0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/97 and 21\/117079.\nAnswer: 117079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 - 6\/4. Let z = -20\/7 - -17\/7. Which is the closest to m? (a) z (b) -2\/5 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -49*u - 208. Let v(m) = -32*m - 138. Let h(p) = -7*n(p) + 11*v(p). What is h(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(0 + -6)\/2. Let q be (i - 13) + 1 + 0. Let l(a) = a**2 - 3*a + 2. Let f be l(q). Solve -f = -3*c - 2*c - 2*u, 5*c - 5*u = 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -209537, 3.\nAnswer: -209537, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2752 - -4216. What is the remainder when q is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -127 and 25359.\nAnswer: -3220593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/((-6)\/27 + 285\/1161).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -5. Differentiate -11*k**2 - n*k**2 + 16*k**2 - 8 with respect to k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*z + 5*z = 86, 0 = 5*w + 2*z - 365. What is the remainder when w is divided by (-6)\/(-15) + (-515)\/(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 - 383\/5. Which is the third biggest value? (a) -0.5 (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -20 + 8*f - 3*f**2 + 13 + 2*f**2. Determine n(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23215?\nAnswer: 5, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 6*y + 5. Suppose -2*b - 87 = -5*b - m, 5*b - 3*m = 145. What is the remainder when b is divided by s(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 7. Let t(m) = -6*m**2 - y*m**3 - 5*m + m**2 + 4*m**3. Let d(a) = a**3 + 3*a**2 + 3*a. Determine -5*d(v) - 3*t(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18929\/7 or 2703?\nAnswer: 18929\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppeepypep. Give prob of picking 3 p.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)*1*4 + sqrt(15))\/(sqrt(5) + sqrt(5)*-2*-3))**2 - ((sqrt(24) + sqrt(72)\/sqrt(3))*-1)\/(1*sqrt(128)).\nAnswer: sqrt(3)\/2 + 75\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3677341667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2 - 3*z + 2*z)*((-3*z + 6*z - 2*z)*(1 + 2*z**2 - 1) - 3*z**3 - 2*z**3 + 2*z**3).\nAnswer: 2*z**4 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*v + 113*v - 18 = 48 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/24 and -68\/1035?\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 5 + 1*8*10. Calculate the highest common divisor of p and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmeazew. What is prob of sequence mz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((5 - -2) + 2 + -10)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8228*w = 1104*w + 232375 + 572637 for w.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(108))**2 + -1*sqrt(3)*2 + sqrt(243) + sqrt(243) + -1 + 1.\nAnswer: 16*sqrt(3) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 2:23 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -3, 33, 91, 177, 297?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -124*(-3)\/12 - (-17 + 26)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1587, 1601, 1629, 1677, 1751, 1857, 2001?\nAnswer: 2189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33145 is divided by 331?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2393.412813 rounded to 1 decimal place?\nAnswer: -2393.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 14*w**2 - 36*w + 146. Let f be c(12). Let p(d) be the first derivative of 13\/2*d**f - 8*d - 20. What is the derivative of p(r) wrt r?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68162.24um to centimeters.\nAnswer: 6.816224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -242, -281, -300, -293, -254?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 3.95 and 25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07678, 28, 4\/5?\nAnswer: -0.07678","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 110863.\nAnswer: 55431.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f + 2*p + 11 = 6*f, 5*f - 4*p = 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(((m**6*m)\/m)\/m)\/m*m)\/(m\/((m*m**(-1))\/m))*m**(-1\/9)\/m**(-2\/5))\/((m*m**(1\/2))**50)**(3\/28) assuming m is positive.\nAnswer: m**(-4721\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by 5.\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -88*v. Let d(t) = -t - 1176 + 1176. Calculate k(d(y)).\nAnswer: 88*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a centimeter in millimeters?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 7*l**2 + 3*l**2)*(l**2 + 0*l**2 - 2*l**3 + 3*l**3).\nAnswer: -6*l**5 - 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3035689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)\/p)\/(p*p**(-1\/22)) assuming p is positive.\nAnswer: p**(-65\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 - 7*v + 4. Let a(x) = 4*x**2 - 8*x + 5. Let o(j) = 4*a(j) - 5*d(j). Let w be (-8)\/20 + (-18)\/5. Give o(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-171)*9)\/(2\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 21 + 34 - 10*l**2.\nAnswer: -10*l**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**4\/11 + 10413*r**3\/11 + 4782082*r**2\/11 + 539897340*r\/11 + 535125672\/11 = 0.\nAnswer: -222, -1, 10858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from amgqtttataqagttq. Give prob of sequence ttga.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 636280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54855685 to the nearest integer?\nAnswer: 7406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5373245.\nAnswer: 5, 1074649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (922\/(-300) - -4) + (-14)\/21 and -179\/450?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 281 or 293?\nAnswer: 281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -16. Suppose 0*b - 11*b - 6*b + 0*b = 0. Is 1353*(b - r\/(-15)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153)*4)**2 - sqrt(153)) + sqrt(272) + -3)*-3.\nAnswer: -7335 - 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313 = -16*o + 3*v, 626*o + 5*v - 22 - 31 = 628*o for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 4146a7?\nAnswer: -4146aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15646b7 - -9?\nAnswer: 1564704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11, -40, -111, -242, -451, -756, -1175?\n\"Answer: -3*a**3 - 3*a**2 + a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*j + 2 - 1 - 373539*j**3 + 373651*j**3 - 1 as q + r*j**3 + v*j**2 + c*j and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 2003231320221?\nAnswer: -2003231320221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -r - b, -3*r - 2*b - 332 = -372. Let t = 3 - 14. Let q(o) = -o**2 - 14*o + 12. Let l be q(t). Calculate the greatest common divisor of l and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 + -18 + 10 + -6?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -96*n + 198. Let q be k(26). Let r = q - -3310. What are the prime factors of r?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 648 and 74898?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -134.23 - -0.23. Let b = v - -266.3. Round b to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n**4 + 2199*n**3 + 6384*n**2 - 450381*n - 226512 = 0. What is n?\nAnswer: -363, -16, -1\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2 + 45\/10. Factor -2*a + 5*a + w*a - 4*a**3 + a + 4*a**2.\nAnswer: -4*a*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, 0, -241, -3, -151, -0.2 in decreasing order.\nAnswer: 6\/7, 0, -0.2, -3, -151, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 12986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(27)*2)**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 913597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149 + 144. Let r = -0.068 + 0.568. Which is the nearest to 4? (a) r (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 10 + 13)*(-4516*s + 36 + 4517*s + 5) - 2*s - 2*s + 3*s.\nAnswer: 29*s + 1230","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1154\/3, -772, -63 in descending order.\nAnswer: -63, -1154\/3, -772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10011001001110 (base 2) to base 16\nAnswer: -264e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/6)\/(5733\/34398).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 237*w + 13. Let o(n) = -237*n - 18. Give -4*b(z) - 3*o(z).\nAnswer: -237*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*12283.4\nAnswer: -4913.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1103132 (base 4) to base 14.\nAnswer: -1d38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4, 2*m + 2*n + 40717 - 170077 = 0. List the prime factors of m.\nAnswer: 2, 19, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-1))\/760*-2?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 30 = -2*l. What are the prime factors of 1\/((l\/(-4))\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-99)*108)\/((-26)\/1*1)?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 120820.\nAnswer: 1\/30205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 10:59 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**2 + 14*y**2 + 4*y**2 to b*y**2 + f + a*y and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*sqrt(5808))**2.\nAnswer: 116160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 49 + 132*h - 26*h - 55 - 4*h**2.\nAnswer: -2*(h - 52)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -13\/44?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 541824454 to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 (base 9) in base 6?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(50\/(-260)))\/(62\/93).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25, 285\/2, 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 0.4, 5, -8 in ascending order.\nAnswer: -8, -4\/5, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 10435?\nAnswer: -10442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuubbbubbuuuuubuuu. What is prob of picking 1 u and 2 b?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 80 = 3*c + 105, -x + 5*c + 23 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + h - 8*h**2 + 6 - h.\nAnswer: -8*h**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1320*w + 1348*w - 16683604. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51394072 to the power of 1\/2, to the nearest integer?\nAnswer: 7169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*x = 469 + 99 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -42.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**3 - 207*w**2 + 2430*w - 6600 = 0.\nAnswer: 4, 10, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -473 - -522. Let u(x) = x**2 - 4*x - 2. What is the remainder when q is divided by u(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -6a6?\nAnswer: 6ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 4\/5, 8 in decreasing order.\nAnswer: 8, 4\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 16*h**2 + 10*h - 13. Let m be u(-15). Find the common denominator of m\/10*1\/(-4) and (-1)\/4 + (-132)\/112.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1788 - -0.0212. What is the second biggest value in -6, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6205702 or -6205703?\nAnswer: -6205702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-2 - -1) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -197, -210, -231, -260, -297, -342, -395?\n\"Answer: -4*i**2 - i - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8798 + 14089. What are the prime factors of s?\nAnswer: 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 209336, 418894, 628452, 838010, 1047568, 1257126?\n\"Answer: 209558*b - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1190, 1077, 962, 845, 726?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -1 + (52 - 12) + -17 + 26?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*t - 29, 15 = -26*s + 21*s - t. Let b(m) = 133*m**2 + 7*m. List the prime factors of b(s).\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3162\/7 or 453?\nAnswer: 453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 71069 = -2*n, 2*a - 3*a - 2*n = -23695. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2712837 and 272100.\nAnswer: 2721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26521 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 858675*i**3\/4 - 203518815*i**2\/4 + 760782*i - 2844.\nAnswer: 3*(i - 237)*(535*i - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**2 - 7050*u + 4141875 = 0.\nAnswer: 1175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + k + 34, 4*k + 13 = t - 3. Suppose d = -2*c + 56, -5*d = c - 4*c - 215. What is the remainder when d is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.6839 and -0.04?\nAnswer: 2.6439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-7 - (-1)\/1). Let j be (4\/(-3))\/((-4)\/d). Let h be 69\/46 - (-3)\/6. Solve -h*o + 8 = -3*q, 5*o = j*o + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*q = 223, 3*q + 52 = -50*i + 51*i. Solve 3*v = -i + 58 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcflfllllllllcllll. What is prob of picking 1 f and 2 l?\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 101 = 3*l + 125, -4*l = -5*w + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-684)\/399 + (-9099)\/21. Let b = 323 + -567. Let f = b - h. List the prime factors of f.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 710428 and 4268.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1118606 to three dps.\nAnswer: -0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -22\/18249337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-4)\/8*(3 - -23). Solve -5*y - d = -0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d - 40*d = 72. Let v be (-2)\/(-8) + 2\/d. Factor v*s - 3\/4*s**3 + 0 + 3\/4*s**4 - 3\/2*s**2.\nAnswer: 3*s**2*(s - 2)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**25)**(22\/3)\/(v\/(v*v**8*v))**(2\/57) assuming v is positive.\nAnswer: v**(10468\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 21*s**2 + 22*s + 44. Let f be a(-20). Let b = 3.92 - -0.08. Let m = -3 + b. What is the second biggest value in -1\/3, f, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00315083432 rounded to seven dps?\nAnswer: -0.0031508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 2*q + q)*(-3 - 2*q + 3)*(-59*q**2 + 57*q**2 + 48 - 52*q + 57*q).\nAnswer: 16*q**4 - 40*q**3 - 384*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3 - 5*i**2 + 2 + 2 - 6*i. Let j = -9 - -19. Let v = j + -4. Let z(o) = -4*o**2 - 5*o + 1. Determine v*l(q) - 7*z(q).\nAnswer: -2*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 530*p**2 + 553*p**2 - 216*p**2 + (-2 + 0 + 3)*(2*p**2 - 2*p**2 - 2*p**2).\nAnswer: 865*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -23891.296 times -8\nAnswer: 191130.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -5*t + 4*t + 1, 5*i + 2 = -t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 18, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 145468*k**4 + 83*k**2 - 17664398 wrt k?\nAnswer: 581872*k**3 + 166*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((12\/4)\/(-3)). Let y(o) be the third derivative of 0*o - 1\/240*o**5 + b*o**3 + 6*o**2 + 0 + 1\/32*o**4. Find k, given that y(k) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 61 = -166. Let p = -229\/11 - w. Which is greater: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 752482861 to the power of 1\/2, to the nearest integer?\nAnswer: 27431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74)\/(-111)*(-63)\/6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 6*v - 3. Suppose 3*l = -2*z + 15, -v*z + 3 + 20 = 4*l. Let n be (-57)\/(-9) + (-3)\/z. Solve n = -5*b + 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -710 - -708. What is the fourth smallest value in 3\/8, x, -5\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = 2*s - 0*h, -4*s - 2 = 2*h. Let f be (41 - 7)*s\/(-2). Let q = f + -15. Solve -12 = -q*j - j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*d + 11*d**2 - 155 - 65*d - 9*d**2 + 30*d as p*d + k*d**2 + g and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 246 - 246. Let z = -0.1 - -4.1. Let x be 32\/(-8) - (-10)\/3. What is the nearest to g in z, x, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/56*(27\/(-54))\/(1\/(-8)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26258 divided by 12469.\nAnswer: -26258\/12469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-564)\/(-18) - 2\/6.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -357, 1\/2, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605 is divided by 576?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13535\/2232 + -49\/8. What is the common denominator of -31\/4 and o?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1807, -3615, -5423, -7231?\nAnswer: -9039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*w**3 + 3*w**2 - 2*w - 29 wrt w?\nAnswer: 48*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 26 = -11. Suppose z = -2*q + 5. Let r = 4 - q. Calculate the greatest common divisor of r and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-5) + (-20553)\/15. What is m rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -6. Let g = -835 + 837. Factor 2\/5*r**3 - 1\/5*r - 1\/5*r**p + 2\/5*r**g - 1\/5*r**4 - 1\/5.\nAnswer: -(r - 1)**2*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 4:05 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 44 = 2*c, c + 2*f = 2*c - 4. Suppose 0 = -4*x + 8, 2*v - c - 24 = -3*x. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60293, -120597, -180905, -241223, -301557, -361913?\nAnswer: -422297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, t: 3, p: 1, g: 2}. What is prob of sequence tpt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1260 in -1, -2\/19, -5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23485810*o + 1673*o**3 - 23485810*o.\nAnswer: 1673*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 234366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - 2*x + 2*x)*(-106 - 163 - 105)*(-1 - 4 + 1) in the form f + q*x and give q.\nAnswer: 2992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.046 + 0.954. What is the third biggest value in -0.3, -12, k?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/8)\/(-1) + (-2)\/20. Let v = -36 - -39.6. Let k = -4 + v. Which is the second biggest value? (a) k (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 13*l. Let b(v) = 195*v - 384*v + 188*v. Determine o(b(j)).\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*d, -k + 3*k + 2*d = -18. Let u = k - -9. Solve -10 = -u*r - 0*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55701.\nAnswer: 3, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 879*l - 880*l + 53, 4*l = -14*t - 282 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-15))\/((-2)\/24*2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 12*x**2 - 34*x - 5. Give s(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 1900.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v**3 + 8*v**2 + v - 8. Let k(i) = -i**3 + i**2 - 1. Suppose 10*m - 35 = 3*m. Let t(f) = m*k(f) - q(f). Let s = 7 + -4. Determine t(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 6*j + 7. Let b be l(-5). Let w(i) = 42*i - 3. Let y be w(b). Calculate the greatest common factor of y and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-3 - (-8 + 2 + 6)) - 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 5:14 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 - 11*x - 12. Calculate t(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 4 = 0, -4*b - 7*h + 2*h = 52 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/768*-8*3\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3736 (base 9) in base 12?\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61321087619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2350310 is divided by 138253?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/3243012 and 133\/408.\nAnswer: 110262408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -70, -113, -154, -193?\n\"Answer: r**2 - 46*r - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*s + 149*s - 95 = 0. What is the closest to -0.036 in s, 2\/7, 2\/3, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 9104 = -5*n. Let v = n + 13619\/6. Let l = v + 271\/42. Which is the second biggest value? (a) -0.03 (b) -1\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s + 44 + 68 = 0. What is the lowest common multiple of 45 + s - (-3 + -1) and 11?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 49\/234 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 263 and 2.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4384 + 4396. Solve 33*f = u*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.9 - -1.1. Let p = -4.5 + 4.4. What is the second biggest value in p, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 150, 235, 334, 453?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -459872381.\nAnswer: -459872381.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/2 - -1 - -35. Let r(j) = -3*j. Let m(c) = 4*c. Let x(f) = 4*m(f) + 5*r(f). Let t be x(4). Solve 4*h + 46 = -4*g + 14, 5*h = -t*g - q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -141, -0.11, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 151*l + 2137 - 174 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 755*p - 232. Is h(6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(91) - 2*sqrt(91) - sqrt(91)))\/(sqrt(7) - (sqrt(7) + sqrt(700) + 1*sqrt(700) + sqrt(7))).\nAnswer: 2*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, -2, 5.\nAnswer: -2, -1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z + 3*d = 13*z - 63, -5*z + 2*d = 167. Let k = -31 - z. Solve 0 = 3*c - 2*j + 8, 3*c = -0*j - k*j - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -62266\nAnswer: 1\/31133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 278128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472 = -2813*u + 2754*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 divided by -19?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*y - 4*y + y)*(11 - 14*y - 11)*(-2*y - 2 + 2) + 7404*y**2 + 22*y - 7405*y**2 - 3*y**3 + 2*y**3.\nAnswer: -29*y**3 - 29*y**2 + 22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 17*l - 20 = 0. Let s(t) = -5*t + l*t - 5*t. Let w(x) = 3*x. Determine s(w(g)).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/26 and -67\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -27*u. Let s be w(-1). Suppose -s - 93 = 5*c. Let r be (-8 - c)\/((-2)\/(-8)). Calculate the greatest common divisor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - 5*f + 5. Let c be u(-5). Suppose 3*a + 0*a + 3*d - 18 = 0, -3*d = -12. Calculate the remainder when (25\/c)\/((-1)\/4) is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*(-1*sqrt(2299) + 2 + -5)**2 + 5.\nAnswer: 264*sqrt(19) + 9237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1284 + -767. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, l: 2, k: 6, e: 1, d: 2}. Give prob of sequence kdk.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -331, -774, -1217, -1660, -2103?\n\"Answer: -443*m + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 23*h + 12. Let n(t) = 64*t + 34. Let a(m) = -17*d(m) + 6*n(m). Let i(s) = -13*s. Determine -14*a(f) + 6*i(f).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 2, -3, 0.2, 13, 1\/39?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 3:22 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*v - 15 + 0 + 8 + 9.\nAnswer: -25*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -39. Calculate the greatest common divisor of j and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-630)\/(-78) + 27\/(-351)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 36700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 + 2*w + 6. Calculate x(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(171)*-6 + sqrt(171))**2*-3.\nAnswer: -12825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 10:53 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -5020643, 8, -5 in increasing order.\nAnswer: -5020643, -5, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(0 + 0 + -1). Let s be (-4 - o)\/(2*1). What is the biggest value in -4, 3\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 102411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3838*b**4 - 14*b**3 + 2192*b**2 + b - 1 wrt b?\nAnswer: -92112*b - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 5561*p - 11567*p + 5545*p.\nAnswer: -461*p - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 8 = -2*t. Suppose -3*x + 6 = 3. Calculate the remainder when 1\/((1 + t)*-1) is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, l: 7}. What is prob of sequence lldd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 795 and 2023.27.\nAnswer: 1608499.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q + 10. Let u be b(7). Suppose -3*p + u = -5*y, p + 3*y + 16 = -2*y. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10515304?\nAnswer: 2, 487, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 671 divided by -61.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6142160138?\nAnswer: 2, 31, 99067099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 37*z**3 - 9*z - 31*z**2 + 25*z - 5 - 3 - 35*z**3. Let v be p(15). Is 2 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**6\/120 + s**5\/12 + 2*s**3\/3 + 2*s**2. Let z = -2 + 2. Let f(q) = q - 5. Let p be f(z). Calculate n(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3309b3 (base 12) in base 13?\nAnswer: -224991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -102161 rounded to the nearest 1000?\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6*c - 4. Let o(a) = 4*a + 2. Let v be o(-7). Let d = v + 22. Calculate the remainder when 37 is divided by r(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2181 - 2146. What is the remainder when 104 is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44112937 is divided by 135.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*y - 37*y - 27*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 227*o + 317 - 317 + 848*o to the form d + n*o and give n.\nAnswer: 1075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265991.\nAnswer: 11, 24181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1930 - 1929.98383. Round w to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, k: 3, b: 2}. Give prob of picking 1 b and 3 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.68 + 3.47. Let g = -4 + y. Let i = g + -0.05. What is the third biggest value in i, 5\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 24*k**2 - 101*k + 113. What is m(19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53577143*r**3 - 1624025*r wrt r.\nAnswer: -321462858*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*i + 3, -2*l - 3*l + 7 = 2*i. Suppose 2*m = -l*k + 160, 3*k = 2*m + 5*k - 158. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6*n + 120 = 0. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - (-4 + -1 + sqrt(180))) + sqrt(180).\nAnswer: 5 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -475078859*v**4 + 94293758 wrt v?\nAnswer: -1900315436*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48111648 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 13*q = 5*m + 186, -4*q - 60 = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -23*i**3 + 15*i**2 + 285. Let f(o) = 50*o**3 - 32*o**2 - 570. Determine 6*f(x) + 13*w(x).\nAnswer: x**3 + 3*x**2 + 285","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 9, 2, -2\/13, -266\/299, 1\/2, -0.1?\nAnswer: -266\/299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*l - 247*l + 55476 = 0. Solve -810*i - 6 = -l*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 293219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -32*j + 67. Let n be h(2). Find the third derivative of 211*i**n - 11*i + 6*i**2 - 86*i**2 + 5*i + 6*i wrt i.\nAnswer: 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.186222 millennia?\nAnswer: 18.6222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30a56 (base 16) to base 3.\nAnswer: -101010022210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/300 - (-1)\/15*1.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3524 + 3579. Calculate the remainder when 213 is divided by x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uudududddddaudddkdu. What is prob of sequence uak?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 4*g - 8*g + 26 = 0, -4*g = -2*d - 20 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -16*l - 9. Let d be u(-6). Let a = -39 + d. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(-1 + sqrt(162)).\nAnswer: -10 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 173117 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8*s. Let f(d) = -7905*d + 1. Determine f(v(l)).\nAnswer: 63240*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135 + 165. Calculate the highest common factor of 270 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 2)*(0 + 2*u**4 + 0) - 3498*u**2 + 3498*u**2 + 56*u**4 - 10*u**4 - 5*u**4 + 3*u**4 in the form l*u**3 + t + f*u**4 + r*u + j*u**2 and give f.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -28*k - 1. What is i(1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 407987 and 855323?\nAnswer: 2071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 h when two letters picked without replacement from {s: 11, a: 2, h: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is d65a (base 15) in base 13?\nAnswer: 17815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -672*j**6 + 72*j**2 - 4 wrt j?\nAnswer: -80640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + (129 - 116) - 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -979, -980, -1017, -1090, -1199, -1344, -1525?\n\"Answer: -18*u**2 + 53*u - 1014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -312 + -93?\nAnswer: -3a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 204?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 265 + -145. Let x be (-386)\/(-26) + 78\/507. What is the greatest common factor of x and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 12*k**2 + k - 3. Let j be r(12). Differentiate -18*h + j*h - 18*h + 175 - h**2 with respect to h.\nAnswer: -2*h - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2dd (base 15) in base 10?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 581 divide 782026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -p - 503, 7*y - 3*y - 5*p = 515. Calculate the highest common divisor of 25 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 4:00 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -3)*-1 + 0. Let c(h) = h + 2. Let a be c(s). Solve -b - 16 = -a*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 243\/(-3*(-8)\/16). Suppose 0 = -4*q + 5*t + 364, 3*q - 454 = -t - h. Is 32 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 5*g + 2. Let s be p(6). Let r = -1 - s. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 830 + -860. Suppose -k = -5*v - 76, -5*k + 2*k + 188 = -5*v. Let s = c + k. Calculate the remainder when s is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 5*x + 10, 4*h - x - 8 = 3*x. What is the first derivative of -17*v + 31 + 21 + 29*v**h + 17*v wrt v?\nAnswer: 58*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3447534 - 6085634. Round q to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 - 0.13. Let h(u) = 4*u**3 - 2*u**2 + 2*u - 1. Let m be h(1). Let l = 1\/21 - 10\/21. Which is the closest to j? (a) l (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3996 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 159, 335, 511, 687, 863, 1039?\n\"Answer: 176*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34929.9 - 35219. Which is the biggest value? (a) 1\/7 (b) -0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 16 = -16. Suppose 0 = -o*c + 693 + 539. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*r - 62 = 0, -r - 22 = 4*b + 22. Let i be ((-12)\/10)\/(4\/b). Solve -2*f**3 + 2*f + 3*f**3 - i*f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 336053.21 to the nearest 1000.\nAnswer: 336000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-849 - 559 + 1645)*(q + 0*q - 1 + 0*q).\nAnswer: 237*q - 237","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.87 - -0.13. Let w = 4 - t. Let g = w - 0. What is the second biggest value in -1\/5, g, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2))*-6 + 2 + 1 + sqrt(2).\nAnswer: -5*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from {z: 1, s: 1, q: 1, r: 1, w: 2, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, 0.19, 0.6 in increasing order.\nAnswer: -0.2, 0.19, 0.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 256262911\/7 or 36608987?\nAnswer: 256262911\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 2*y**2 + 2*y - 2. Suppose d + 6 + 6 = 0. Let i = -9 - d. Calculate k(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13463557 to the power of 1\/2, to the nearest integer?\nAnswer: 3669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 12. Suppose -g*f = -10*f + 20. List the prime factors of (-2)\/f*8*(-38)\/4.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 40*z + 419. List the prime factors of v(-8).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Suppose 0*w = -5*w - 0*w. Suppose -5*b + 8 = 3*u, -2*b - 3*u - 2*u + 7 = w. Solve x + b + 3 = o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1 times 0.2?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1637, 3796, 5955, 8114, 10273, 12432?\nAnswer: 14591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -277 + -22?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001579 rounded to 7 decimal places?\nAnswer: -0.0000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 12:11 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 1:02 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (-30 + 10 - -37) + -10 + (80 - -1)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 3*u - 5*u)*(1690*u + 1651*u - 3342*u - 7141).\nAnswer: u**2 + 7141*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a + 10 = 2*m, -2*m - 10 = 0. Suppose -34 = -4*l + 26. Suppose 2*h = -a*v - l, 2*h = 2*v - 0 + 6. Solve h*u - 12 = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 386604206 and 498?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1991441, 3982879, 5974315, 7965749, 9957181, 11948611, 13940039?\nAnswer: 15931465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 2, s: 1, w: 3, t: 7}. Give prob of sequence wtw.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1450 or -1439?\nAnswer: -1439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 1990 + 3453 = 1931 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1 (c) 10\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 33 - 9. Calculate the remainder when 37 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(539) + 0 + -5)**2 - (sqrt(110)\/(2*(sqrt(80)\/sqrt(8) + sqrt(10))) + 4).\nAnswer: -449*sqrt(11)\/4 + 599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 + 122. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/r**0))**(-33)*r\/r**4*r*r**1*r)\/((((r\/(r*(r*r**(-5\/3))\/r))\/r)\/(r\/((r\/(r*r**6))\/r*r)))\/(r*r\/(r**(-1)\/r)*r)**(-1\/35)) assuming r is positive.\nAnswer: r**(823\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 248*z = -4*z + 6525 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 4*s**5 + 4*s**2)*(-1 - 1 + 0) + 6 + 5 - 10 - 2*s**5 - 2*s**4 - 4*s.\nAnswer: -10*s**5 - 2*s**4 - 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 5:13 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 76?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 12*j + 11*j - 8, -21*j = -5*h - 148 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5))**(3\/7)*(c**1)**45 assuming c is positive.\nAnswer: c**(1581\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-999)\/(-108))\/(-37)*-36.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i. Let q(d) = -d**2 - 2*d - 2. Let c(j) = j + 1. Let w be 2 + 5 + (-1 - 1). Let k be -2 + w - 1*2. Let y(n) = k*q(n) + 2*c(n). Determine g(y(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -10231*l + 20 - 16600*l - 14 - 6 - 3629*l + (l - 5*l + 5*l)*(3 + 4 - 5) in the form b + a*l and give a.\nAnswer: -30458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 727442207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -116.77 * -0.2.\nAnswer: 23.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = -p + o + 983, 0 = -5*o - 25. Suppose -4*v + 455 = -p. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(10\/3)*h*h*h**(2\/41)*(h*h**(-1\/4)*h)**35 assuming h is positive.\nAnswer: h**(29995\/492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -44070, -44094, -44104, -44094, -44058?\n\"Answer: w**3 + w**2 - 34*w - 44038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -6. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 8265, -1.\nAnswer: -3, -1, 5, 8265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = -i, i - 4 = -1. Suppose -r + 40 = -p*r. Let y = -3 + r. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 11. Let v be w(15). Let z(h) = 17*h - 1. Is z(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 6*t + 126 = 0. Suppose 4*x + 4*s = 136, 3*x + 3*s - 71 = x. Let j = t + x. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/4 (b) 1\/4 (c) 3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -0.2, 0.1, 2, -268 in decreasing order.\nAnswer: 2, 4\/7, 0.1, -0.2, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jajjtzatjtdjvaaj. What is prob of picking 2 t and 1 a?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8534013 != 8534014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**3 - 128556*m**2 + 2186760*m + 4887712 = 0. What is m?\nAnswer: -32156, -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 2. Let f = 947 - 947.5. Which is the third smallest value? (a) f (b) o (c) 0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 73*m**3\/3 + 59*m - 36. Find the first derivative of o(z) wrt z.\nAnswer: 146*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21210240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 1:40 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 20 = -4*b. Let x = b - 9. Sort x, 1, 0.\nAnswer: x, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - 72. Let o = -947 - -950. Solve -10 = -2*l, 0*b = -w*b + o*l - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 12:58 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 + 3*v**2 - 3*v**2 + (-v + v - 2*v)*(0*v + v + 0*v) - 7*v**2 + 7*v**2 + 5*v**2 + (2 - 2*v - 2)*(-3*v + 5*v - 5*v).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161 - -160.99932. Round f to 5 dps.\nAnswer: -0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 9*t**2 - 4*t + 3. Let m be b(-9). Calculate the greatest common divisor of 52 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/2, 0, -4, 1865\/2 in descending order.\nAnswer: 1865\/2, 4, 1\/2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 2)*(2*w + 1 - 1) + 0*w - 2*w + 11*w)*(-2*w**4 + 3*w**4 + w**4).\nAnswer: 22*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaq when three letters picked without replacement from {q: 4, c: 6, a: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdh when three letters picked without replacement from {d: 3, x: 5, h: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2235 (base 6) in base 9?\nAnswer: -645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from zrrzyrrrryryy.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 785 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s**2 + 10*s - 4. Let g be a(4). Suppose 42*l = 40*l - g. Let c = l + 98. Calculate the least common multiple of c and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - k = 5*h + 20, 4*h - k = -25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*s + 26, 3*a - s - 16 = -a. Let l = -6 - a. Is l at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7194?\nAnswer: 2, 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/28)\/(13 + 2)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 751136 + -530?\nAnswer: 750406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i**3 - 3*i**2 + 4. Let r be m(3). Suppose 1158 - r = -5*w. Let l = -122 - w. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-231)\/(-297) + (-44785)\/23850?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((31 - 36) + 0 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3*k**3 + 4 - 6 + 3 to the form t + j*k**2 + q*k**3 + c*k and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -422 - 0?\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*(-4)\/8)\/1. Let y be (15\/25)\/(l\/(-5)). List the prime factors of y\/(45\/(-66))*-5.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**4 - 2427*q**3 - 42126*q**2 = 0. What is q?\nAnswer: -17, 0, 826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1923264, -1923265, -1923266?\nAnswer: -1923267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1378 = 170. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 10:53 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 4*b - 3*l + 6*l, -4*b + 4*l = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 316*p + 12006. Determine r(-38).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-89247)\/(-15) - 44\/55. Suppose -9681 = 15*s + q. What is s rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*k**2*m**3 - 2*k**2 + 61*k*m + m**5 + 2*m**3 wrt m?\nAnswer: -78*k**2*m + 20*m**3 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)*i)**(9\/8)\/(i\/i**(-4\/3)*i\/(i*i\/(i*(i\/((i**(3\/8)\/i)\/i))\/i))))**(23\/5) assuming i is positive.\nAnswer: i**(-3427\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1\/2 (b) -15 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -70, -132, -172, -178, -138, -40, 128, 378?\n\"Answer: 2*h**3 - h**2 - 73*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*l, -k - 32 = -3*l + 5*l. Let p = k + 33. Calculate the highest common divisor of 99 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5036*w**2 - 5038*w**2 + 305*w - 153*w - 152*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**4\/4 - 2*x**3\/3 + x**2\/2 + 7*x + 2. Is y(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4523 or 9194?\nAnswer: 4523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*s + 81, -27 = -2*y + 4*s + 5. Let n = y + -4. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*u**3\/5 - 3224*u**2\/5 - 288*u = 0. What is u?\nAnswer: -4\/9, 0, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t**2 + 3*t**3 + 4*t**3 - 5*t**3 - 15*t**2.\nAnswer: 2*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**2*q*x + 35*n**2*x**3 + 122*n*x**3 - 7425*q*x**3 - 2*x**3 wrt q.\nAnswer: 2*n**2*x - 7425*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 78\/84 + 440\/(-308). What is the smallest value in 0.4, 22.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjquu. Give prob of sequence uu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1 + sqrt(98) + 0 - -3*(-1 + sqrt(98))**2) + 4).\nAnswer: -70*sqrt(2) + 604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*x - 20 = 0, -3*u - 5*x + 41 = -u. What is the third smallest value in u, 3, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1403 divide 4054842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2538?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2464333.2 minutes?\nAnswer: 244.4775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -30, -0.22, -3\/2?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 2*c. Suppose -9*u + 5 = -8*u + 2*d, 4*d = 0. Let i(v) = -4*v**2 - 5*v. Let g(l) = u*q(l) + 2*i(l). Let g(f) = 0. What is f?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10192 and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.60004 - 2.6. Round y to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 172471955 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 753216 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 - -39. Let o be (-39)\/52 + (-86)\/h. Let c be 1 - (-2)\/(o\/(-5)). Solve 2 = -c*v - v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -i + q - 18, -5*i - 5*q = -280. Let u be -7 + 4 - (1 + 1). Let m be (-16)\/20 + i\/u. Put 2, 0, m in decreasing order.\nAnswer: 2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2527 * 0.4.\nAnswer: -1010.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1386533490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(11\/(-20 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*i = -138*i - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 10*n = -11*n + 12, -3*b + 3 = 2*n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53349, 53308, 53267, 53226, 53185, 53144?\nAnswer: 53103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133.658 - 124055.\nAnswer: -124188.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 27*s + 1. Give d(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56519 is divided by 852?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32 - 54163885?\nAnswer: -54163884.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1140822 divided by -9351.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b6 + 925?\nAnswer: 82b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-405))\/((3\/5)\/3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -5*i**4 + 5*i**3 + 15*i**2\/2 + 15*i + 5. Let r(c) = c**3 - c**2 - c - 1. Calculate -h(n) - 15*r(n).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Suppose 3*h = 8 - 2. Solve 4*x - 20 = 0, 0 = h*z + d*x - 5 + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -38.262570122462?\nAnswer: 38.662570122462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgpgyczcppppzcgdzdgp. Give prob of picking 2 c and 1 d.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - 5 - (-151 + -12)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 4*v + p + 2*p, 3*p = v - 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)*3)\/(sqrt(22)\/(sqrt(44)\/sqrt(4))).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and ((-5)\/10)\/((-3)\/120 - 0)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 - -1. Let l = 54.4 + -56.83. Let i = l + 0.43. What is the nearest to -2\/5 in 3, p, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 850.776 nanograms?\nAnswer: 0.000000850776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -67492 rounded to the nearest one thousand?\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from trtrrrtrrr?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = 4*r - 60 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*p - 2839 + 989 = 0. Calculate the greatest common divisor of 14530 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42844 and 214220?\nAnswer: 214220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = -2*y. Let g be y - (-10 - (2 + -1)). Solve -4*f = -2*f + g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 3 + 3 + (0*r + 5*r - 4*r)*(0 + 2 - 1) - 26*r + 0*r - 30*r)*(-r + 5*r - 2*r).\nAnswer: -104*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1062823577 to the nearest integer?\nAnswer: 32601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 43.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 0 - -4) + 13 + -53?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/(3*(-5)\/20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l = 0. Suppose -5*p + 10 = -c, 2*p + 5*c - 5 = -1. Suppose l*w - 58 = -p*w. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 260 = 4*y. Let j = 0 + y. What is the common denominator of (17\/(-51))\/((-1)\/j) and -5\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -63.152?\nAnswer: -63.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2610\/162 - 16 - (-7)\/((-1323)\/39).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z\/(z\/z**(-7)))\/z)*z\/(z\/z**(4\/9))*z\/z**(-18)*z**26 assuming z is positive.\nAnswer: z**(490\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 6.3. Let u = -0.18805 - 2.61195. Put u, b, 1\/5 in descending order.\nAnswer: 1\/5, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 615383.5ng to milligrams.\nAnswer: 0.6153835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 338968927 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33961549?\nAnswer: 1061, 32009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -5. Let z = h + -5. Suppose -2*l = -z*m - 28, l = 6*l + m - 81. What is the greatest common divisor of 128 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*c**19\/c*c)))\/(c*c**(2\/9)\/c))**(2\/25))**(-19) assuming c is positive.\nAnswer: c**(-6764\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15443885 to the nearest integer?\nAnswer: 3930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 740, 5931, 20016, 47441, 92652?\n\"Answer: 741*n**3 + n**2 + n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 152 + -175. Let x be ((-6)\/(-4))\/((-12)\/(-16)) - g. Solve 5*a = x - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 229010120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-2))\/((-3)\/6). Suppose -12 = 4*d + 4. Let o(x) = -3*x**2 - 4*x - 4. Let f(c) = -c**2 - c - 1. Calculate d*f(n) + y*o(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1578726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32 - (-3 - 0\/2). Let d = z + -25. Calculate the remainder when (74\/6)\/((-2)\/(-6)) is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 2012*x - 18625. What is r(-9)?\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 - 39*u - 40. Calculate the smallest common multiple of 40 and t(37).\nAnswer: 13120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1516*j**2 + 10*j + 760*j**2 + 2*j - 12*j + 758*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 9*p + 16. Let n be s(4). Let f(g) = g**2 + 4*g - 39. What are the prime factors of f(n)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-3 + (-14 - -2) + 11 + 22)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -392*y - 11. Let w(j) = 131*j + 4. Let m(n) = -4*u(n) - 11*w(n). Is m(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + 12*v = 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkv when three letters picked without replacement from {v: 3, k: 5, o: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**2\/8 + 8463*a\/8 - 8457\/4 = 0.\nAnswer: 2, 2819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + p + 806 = 0, -5*c + 0*p + 826 = 4*p. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 10 = 0, -2*g + g = 4*c + 18. Suppose -3*n + 5*n = 14. Let a = n + g. Calculate the remainder when 26 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 9)*1\/4. Suppose 2*k - 111 = -5*a - c*k, -5*k + 110 = 5*a. Let n = 10 + -4. What is the remainder when a is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 + 2*k**2 - k. Let p be b(1). Let w = 1\/1271 - -414341\/6355. Let g = -65 + w. Which is bigger: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5005209 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q. Let g(s) = 4*s - 3*s**2 - s - 3*s. Calculate g(c(r)).\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.08 + -2. Let u = 2.03 + -2.31. Let g = u + m. What is the closest to -2\/3 in g, -2\/5, 1\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563434.\nAnswer: 2, 281717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 146*h**3 + 6*h + 40006*h**4 + 39992*h**4 - 80001*h**4 in the form r*h + q*h**2 + c*h**4 + f*h**3 + x and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -113. Calculate the remainder when 10 is divided by 24\/c + 80\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/8 - 2\/((-12)\/45). Let l = s - 5. Solve b + g = l, 2*b + 0*b = -3*g + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2200 and 1056.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2262 - 1762. What is the remainder when c is divided by 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.92891107 to 3 decimal places.\nAnswer: -68.929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1763111296.\nAnswer: 2, 13774307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*p + 14 = -4*o, 0 = 3*p + 4*o + 2. Suppose v = p*k + 2*k + 69, -290 = -4*v + 2*k. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29, 100, 227, 416, 673, 1004, 1415?\n\"Answer: f**3 + 22*f**2 - 2*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -3*v**2 - 15 - 1\/3*v**3 + 7*v. Let u(s) = -s**2 - 7*s + 8. Let a be 0 - 1 - (-2 + -4). What is a*u(m) - 6*q(m)?\nAnswer: m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-620)\/(-50) - 4\/10. Let s be (12\/54)\/((-4)\/b). Which is smaller: -0.05 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 20583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13124.9 - -13124. Suppose -2*k = -k + p, -8 = k - 3*p. Which is the nearest to h? (a) k (b) 1\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 6*s**2 - 8*s + 2. Let r be i(-7). Is 1606\/18 + (-2)\/r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/11 + (-6)\/(-33). Suppose -5*d + 2*m + 13 = k, -4*d = -0*d - m - 8. Solve 2 = y - d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 238 + -126. Let l(n) = -230 + 122 + n - 4*n**2 + m + n**3. Calculate l(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 5*o**2 - 7*o + 5. Let n be l(2). Suppose -2*h = 3*g - 226, -238 = -n*g + 2*h - h. List the prime factors of g.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 771 and -0.079.\nAnswer: 770.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 76\/18) + 12\/135?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, z: 2, r: 6, e: 1}. What is prob of picking 1 r, 2 e, and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2357.0294 + 2357. Let o = 5919 + -5919.03339. Let h = o - m. Round h to 4 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 162*x - 164*x + 6. Let q(v) = -4*v. Let g be q(-1). Solve -f + g = x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -u + 10, -5*u = 2*c - 8 - 14. Let x be (-11)\/(-7) - (-18)\/42. Solve x*l = -l - u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 6 = 4*c, 2 - 3 = c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -852, -859, -868, -879, -892?\nAnswer: -907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/9 - (-4)\/(-3). Let y = 1 - a. What is the first derivative of -3*r**2 + 4*r**2 + r**y - 1 wrt r?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 282791 times -0.4\nAnswer: -113116.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51800 - -77799. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = f - 5*o, 5*f + 4*o - 6 = 4. Let c be (-13)\/39 + 26\/f. Find the first derivative of -3*a - c*a - 3 + 15 wrt a.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmmh when four letters picked without replacement from {a: 2, h: 2, m: 2, w: 1, l: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-2)\/8*(-3)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348 = 2*o + 2*t - 360, 3*t = 2*o + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*c - 64 - 6 = 0, 3*w - 4*c = -109. Let o(a) = -a + 135. What is the units digit of o(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 17\/(-3) - (-2)\/(-3). Suppose 3*b - 4*o = -b + 56, -t*b = -2*o - 52. Calculate the remainder when 35 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -27. Let o(k) = 1 - 2*k + 2 - 3 + v. What is o(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 2:36 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 38360304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + 4\/6*-6. Let z = -166 + 1825\/11. Is x less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 16. Let o(i) = 3*i - 25. Let u be 3\/18*(-5 + 2)*-10. Let n(c) = u*o(c) - 8*g(c). Let w(p) = -2*p + 5. Give -5*n(k) + 2*w(k).\nAnswer: k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*v - 61*v - 50*v + 189*v + 171*v.\nAnswer: 296*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, g: 9, w: 4, e: 2}. Give prob of picking 1 w and 2 g.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -5*i + 12. Let j(m) = 10 - i + 4*m**2 + 2*m + 0*m. Determine j(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.319362204 to 4 decimal places.\nAnswer: 3.3194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -62, -0.03, 2, -1 in decreasing order.\nAnswer: 2, 2\/5, -0.03, -1, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -351 (b) -40 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/2*8410\/(-15) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 27, 63, 99, 135?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d - 14. Determine r(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 5:58 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -19 (b) 2 (c) -0.2 (d) 0 (e) -25475\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.04 (c) 8\/17 (d) 26 (e) 0 (f) 13 (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 2*r**2 + r + 1. Let g be k(-2). Let n be 2 - (-2)\/g - 17. Does 8 divide n*(-7)\/(7\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 126677*i + 1013349. Give v(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/5)*u*u*u**(-2\/5)*(u*u**(2\/7)\/u*u)**(-38))**(-2\/57))**(-22) assuming u is positive.\nAnswer: u**(-74008\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 441 and 268722.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 1 - 2)*(33*p + 30*p + 195*p**2 - 63*p).\nAnswer: -2340*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 6 - 4. Is 13 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29226*r - 29221*r - 28*m - 140, 0 = r - 3*m - 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/8274, 2.\nAnswer: 1\/8274, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2. Let s = 137 + -97. Let j(h) = 29*h**2 + 19*h**2 - s*h**2. Give j(y(r)).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3233, -6178, -11079, -17930, -26725, -37458, -50123, -64714?\nAnswer: -81225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 8*h**2 + h - 1. Let t be w(8). Let c(u) = 14*u**2 - 3*u - 53. Is c(t) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) -0.4 (b) -1\/115 (c) -4 (d) 3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*i + 3*x - 7, -1 = x. Sort -3, i, -13 in increasing order.\nAnswer: -13, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149943 is divided by 490?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 5. Let t(y) = -185*y - 185. What is t(n) + 37*v(n)?\nAnswer: -222*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.62 + 1.62. Which is the nearest to 0? (a) 1\/5 (b) 15 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.8, 0.4, 22?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Let r = 53.9 - 50. Let h = r - -0.1. Which is the third smallest value? (a) -4 (b) x (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 7 + 1 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 1620?\nAnswer: 1619.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z - 8. Let l be t(9). Let j(u) = 2*u**2 - 10*u + 1. Let b be j(6). Let q be b\/(-20) - l\/(-25). What is the third smallest value in q, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*i = 16, 6*w - 10*w - 5*i = -22. Suppose 238 = -w*y + 8*y + 2*g, 2*y = -2*g + 100. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -243 + 246. Which is the third smallest value? (a) s (b) 0.2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**6\/24 - o**5\/30 - o**4\/12 - o**3\/6 - 2*o**2. Let h be n(-1). Solve 4*j + 0*j + 2*p = 24, -j = h*p - 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 43123232?\nAnswer: -43123242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, w: 6, e: 3, l: 3}. What is prob of picking 2 l and 1 e?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4520, 4513, 4500, 4481, 4456, 4425?\nAnswer: 4388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r + r - 3 - 4*r + 3*r. Let u(j) be the first derivative of j**2 - 300. What is l(u(c))?\nAnswer: -10*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1340917.\nAnswer: 37, 36241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/(-9) - -9)*19 + 8\/(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 4:58 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6721 is divided by 120.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004039 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/7 + (-33)\/(-252))\/((-195)\/585)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + 3*y. Let x be p(2). Let a be 20\/6 + 1*x. Let o = -1\/326 + -1297\/2282. Put a, 2\/9, o in descending order.\nAnswer: a, 2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31996216*s**5 + 52430861*s wrt s?\nAnswer: -639924320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.273 - 111.273. Let u = 2734808373.0000053 + -2734808484. Let g = d - u. Round g to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*i**5 - 42*i**5 + 2*i**3 - i**3 - 2*i**5 + 4*i**5 - 4*i**5 + (-1 - i**3 + 1)*(3 - 3 - i**2).\nAnswer: -9*i**5 + i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from {v: 5, w: 7}?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*b + 2*b. Are b and -6\/14435 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3955375 + -9?\nAnswer: -3955384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 491 and 0.19.\nAnswer: 93.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y = -2. Let s = y + 0. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at most as big as -11652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*s - 152 + 716, -5*s - q + 698 = 0. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5543531*i - 31965055 with respect to i.\nAnswer: 5543531","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13794 is divided by 13758?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 7 (c) 0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 0*a**2 + 0*a**2 + (a + 0*a + 0*a)*(4*a**2 + 5*a - 5*a) + a**3 + 3*a**3 + 4*a**3 - 5 + 5 - a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (4\/(-8))\/((-8)\/(-96))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v\/(v\/v**(-2\/13)*v))\/v)\/v*v*v**2)\/(v\/(v**1*v*v*v*v))**34 assuming v is positive.\nAnswer: v**(1792\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98674 is divided by 12051?\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10045 - -22145. Suppose -m = -6*d - 16*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8376.99916 + 8377. What is d rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 13*l - 31. Let m(y) = y + 27. Let u be m(-11). Let s be b(u). Let w(a) = a**2 - 17*a + 4. Let r be w(s). Is r <= 23\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1\/2 (b) 2 (c) 183 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (10 - (-47 - -22))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 551.19 + -554. Let r = -2.80999691 - m. Round r to 7 decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqdxp. Give prob of picking 1 p and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 67 (c) 5 (d) 1.03 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**2*r**2 + 802*m*r**2 - m - 9847*r**2 wrt m.\nAnswer: 2*m*r**2 + 802*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -280.690962 rounded to one decimal place?\nAnswer: -280.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/6838 and -61\/3682.\nAnswer: 47866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20300222 (base 4) to base 11\nAnswer: 24a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-724)\/8 - (6 - 5). Let b = 85 - k. Sort 0.5, b, 9.\nAnswer: b, 0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -1\/3*p**3 - 13*p**2 + 76\/3 - 12*p = 0?\nAnswer: -38, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227133, 227042, 226951, 226860?\nAnswer: 226769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -3, 0.5, -0.3, 0.2, -54?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d - 3. Let t(b) = -b**2 - b - 4. Let g be t(-2). What is the units digit of f(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069943209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 136 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4098 (b) 0.29 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + d - 24*f + 28*f = 118, 11*f = -5*d + 129 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2126 + -9?\nAnswer: -2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1458314 nanometers in millimeters?\nAnswer: 0.0000001458314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/17955*-57*(-1)\/13*-10\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35994 + 48270. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/(-4))\/((-12)\/(-18696))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8*r + 65. Let d(l) be the second derivative of -l**3\/2 - 11*l**2 - 12*l. Let m(w) = 4*b(w) + 11*d(w). Is 10 a factor of m(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1 = 14, q + 12 = 2*c. Is -1 + 182*(-1)\/q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7555*m + 629*m**2 - 7555*m - 1 + 1 - 623*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**2*i*i*i)**(-3\/4)*(i*i**(-6\/7))\/i*i**4)**(-11))**(-1\/21) assuming i is positive.\nAnswer: i**(253\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(180)*2 + (0 + sqrt(30)\/sqrt(6) + sqrt(5) + 0)**2.\nAnswer: 17 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*f = 1, 0 = -2*f - 2*f + 8. Let g = -7 + a. Calculate the smallest common multiple of g and -8 - -6 - (-4 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25605.3966 + 25613. Let g = s + -7.6. Round g to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 27\/2*o**2 - 31*o + 1\/12*o**4 + 0 + 1\/3*o**3. What is the hundreds digit of s(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -422 + 413. Let j(s) = -95*s - 74. Is j(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -296 in -1, 5, -1\/5, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**3 - 61*f**2 - 22 + 59*f**2 + 3*f**3 as t*f**2 + a*f**3 + i*f + m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -70. Let o(i) = m*i + 11*i - 18*i + 6. Let w be o(-4). Which is bigger: -11 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255925?\nAnswer: 5, 11, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b - 1. Let x(l) = -12*l + 117. Let g(n) = -4*a(n) - x(n). Let p be g(28). Sort -2, p, 9.\nAnswer: -2, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hplb when four letters picked without replacement from {h: 7, l: 1, r: 2, p: 5, b: 1}.\nAnswer: 1\/1248","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -133\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 196 - -1. Calculate the remainder when q is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*i - 267 = 3*i, -i = 4. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23\/120 + 1\/40. What is the fourth smallest value in -0.2, 0.4, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 13*u + 59. Determine g(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-54504)\/(-1518))\/(-12) - -3. What is the biggest value in 1, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 10*w**3 - 3088*w**2 - 604*w - 4321. Calculate g(309).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96963 is divided by 10659.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 438*a**3 + 37*a**2 - 1310*a**3 + 437*a**3 + 433*a**3 + 7*a**2.\nAnswer: -2*a**3 + 44*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 394536.\nAnswer: 394536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1204 + 1139 + 2389)*(11 - 11 - 4*u).\nAnswer: -18928*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 432961553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -93*c - 48 - 308 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 5:55 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 277*m + 1111. Let x be c(-4). Let r(s) be the first derivative of 17 + 0*s**x - 3\/20*s**4 + 0*s**2 + 1\/30*s**6 + 2\/25*s**5 + 0*s. Factor r(y).\nAnswer: y**3*(y - 1)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10190385 divided by -3396795\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-60)\/(-24)*(-1 - -3). Let f(s) be the first derivative of 28 + 35 + 3*s - 2*s**2 + s**3 - 48. Let b(y) = 3*y**2 - 5*y + 4. Give v*b(q) - 6*f(q).\nAnswer: -3*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22029858 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018 times 1138.88?\nAnswer: -20.49984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.7958 to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7879887.\nAnswer: 3, 875543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 19487 + 11744 = 4*o, -4*p - 31236 = -4*o. Is o a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i + 1. Let a(y) = -2*y + 1 + 2*y + y - 5*y. Let n(r) = -4*a(r) + 3*p(r). Differentiate n(s) wrt s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w + 5*w**2 - 4*w**2 - 27*w - 14 + 2*w**2. Let p be b(8). Let f be (1\/1)\/((-2)\/(-8)). Solve -3*s - 13 = l - 4, 0 = p*l - f*s - 22 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -972605, -972520, -972437, -972356?\n\"Answer: -h**2 + 88*h - 972692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 29*f - 781. Let g be u(27). What is the second smallest value in -4, 9, 1\/2, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66334 by 18.\nAnswer: 33167\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) -0.7 (c) -6 (d) 1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05483 times -0.9?\nAnswer: 0.049347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 407\/22 + 2\/(0 - 1). Let v = -131\/8 + s. Sort v, 5, 3\/8 in decreasing order.\nAnswer: 5, 3\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 12.9, -108?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12402332 (base 7) in base 13?\nAnswer: -305c27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-1275)*((-1)\/6)\/(((-195)\/50)\/(-39))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004970681 to six dps.\nAnswer: 0.004971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 1. Let m be s(-1). Suppose -14 = 5*j + 4*k + 18, -3*j + k - 9 = m. Let a be (-12)\/j + 22\/(-6). Is 4 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -272, -1070, -2406, -4286, -6716?\nAnswer: -9702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 1\/2*u**2 - 3 + 24*u. Does 12 divide d(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 11. Let u be t\/3 - 1*-25. Let i = u - 60. Round i to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.36284, 14 in decreasing order.\nAnswer: 14, 0.36284, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14675357*o**3 + 13631130 wrt o.\nAnswer: -44026071*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 39404 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1396447?\nAnswer: 13, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 412*l**2 - 429*l - 3758. What is t(-205)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 + 15*n + 8. What is u(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 9)\/((-1)\/8). Suppose -f = -3*o + 11, o = -3*f - 1 - 12. List the prime factors of h - 2\/2 - o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*w + 25*w - 63*w)*(3 + 2*w - 3)*(w - 18*w + 2*w).\nAnswer: 1980*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(12)\/(sqrt(4)*-1) + sqrt(3) - sqrt(27)\/sqrt(576))**2.\nAnswer: -3*sqrt(3)\/4 + 579\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090 divided by -109?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zil. What is prob of sequence li?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhddllhdldpdlddd. Give prob of picking 2 l.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**5 + 95*h**4 - 560*h**3 + 960*h**2 = 0. What is h?\nAnswer: 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**35\/y)\/(y*(y*y*y*y**(6\/13))\/y) assuming y is positive.\nAnswer: y**(397\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**8\/b)\/b**(2\/15)*b*b*b**(2\/17)*b\/(b**(-4)\/b*b))**(-1\/12) assuming b is positive.\nAnswer: b**(-1783\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, y: 7}. What is prob of sequence yyky?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + 4*sqrt(8)\/sqrt(4)) - (((4*1*sqrt(18))\/sqrt(9))**2 + -3).\nAnswer: -28 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*h - 144*h + 4256 = 97*h for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 12*u - 44 = 14*u, 7*g - 6*u + 3 - 27 = g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-72)\/(-45)*-5 - (-45)\/5. Sort x, -3, -202.\nAnswer: -202, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1656, 1720, 1894, 2232, 2788, 3616, 4770?\nAnswer: 6304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38335 + -2687?\nAnswer: -41022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*m - 84 - 36, -3*s = 4*m + 239. Let t = -61 - m. Let z be (t\/90)\/(35\/(-15)). Is 1 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + 4 - -2) + (0 - -1 - 5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.33, -2 in decreasing order.\nAnswer: -0.33, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 8:35 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 x when four letters picked without replacement from {r: 1, x: 6, p: 5, k: 1, a: 2, s: 5}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 5*t**2 + 47*t - 244. What is n(8)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 4:40 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 4 + 1. Let k = -113 - -89. Does 11 divide (s + -2 + -1)*198\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + g + 0*g + 1 + 11411505*g - 11419967*g - 1 + (0*g + 6*g - 4*g)*(0 + 1 + 2).\nAnswer: -8458*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11395*1026.\nAnswer: 116.9127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, p: 6, k: 2, c: 4, w: 7}. What is prob of sequence wkw?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 30. Is c(0) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13663*x + 13667*x = -2*s + 6, 0 = 5*s - 4*x + 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 + 50693409322.\nAnswer: 50693409424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnnaawanwwnn. Give prob of sequence wn.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21 (b) 14 (c) 2\/21 (d) -1 (e) -5 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-7)*z)\/z*z\/(z\/(z*z**(5\/2)))*z)**(-47) assuming z is positive.\nAnswer: z**(235\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -26*u**3 + 4*u**2 - 9*u + 3. Let v(z) = 54*z**3 - 9*z**2 + 20*z - 6. Determine -13*g(m) - 6*v(m).\nAnswer: 14*m**3 + 2*m**2 - 3*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*i - 53130 = -15606 for i.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**9\/j*j))\/j**(-7\/3))**(1\/4) assuming j is positive.\nAnswer: j**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 9:29 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9217403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 3}. Give prob of picking 2 q.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Let i(w) = -w**2 + w - 6. Let n be i(b). Let v(l) = -l**3 - 7*l**2 - 5*l + 3. Calculate v(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1618515.\nAnswer: 3, 5, 19, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 0*t - 2*t + 2*t - t + 0*t + 2*t - 2*t - t + (-1 - 3 + 6)*(0*t - t + 0*t) - 35*t - t - 37 + 30*t)*(5 - 3 + 7) to the form x*t + h and give h.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1\/6 (c) -229.6 (d) -14.47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 7:45 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 16 = 15*f - 112. Solve f*d - 2*b - 17 = d, 3*d - 3*b - 3 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 - 2*b**2 + 870 - 50393*b + 51126*b - 869 + (3*b**3 + 3*b**3 - 4*b**3)*(-5 + 4 + 3) + b - b + b**3 as j*b**3 + z*b**2 + x + v*b and give v.\nAnswer: 733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 863 = 5573. What are the prime factors of t?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.88 + -960.12. Let d = -980 - b. What is the fourth biggest value in -1, -0.5, -11, d?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = v + 16, -2*r + v = 3 - 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 8:32 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 33 = -9. Let a = -878 - -45571\/52. What is the common denominator of ((-3)\/n)\/(10\/84) and a?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkdd when four letters picked without replacement from kddpdkdddd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 51798876.8+81.9\nAnswer: 51798958.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyss when four letters picked without replacement from sssssssyysyysssssyss.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + 55?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91274 is divided by 159.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 13) in base 6?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/4530 and -115\/846204.\nAnswer: 4231020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13945 - -14079. Suppose -2*k + g + 139 = 0, 108 + 33 = 2*k - 3*g. Calculate the remainder when z is divided by k.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229407211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 1795 - 535. Is 14 a factor of ((-4)\/12)\/(3\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -419652817 times 1\nAnswer: -419652817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 2*u + 20, 2092 = 3*l + 2*u. Suppose 14*w - 1972 = 15*w - 35*w. Calculate the remainder when l is divided by w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -25. Suppose -c = 2*c + 3. Let z(q) = -4*q + 1. Let y be z(c). Solve r = y*n + 8 + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d**5 + 1156*d**4 + 27*d**3 - 198*d**2 = 0. What is d?\nAnswer: -33, -3\/7, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15127 by 142.\nAnswer: -15127\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*b + 3*t = -48*b - 15, -7*b + 35 = -2*t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 - 2*y**2 + 3*y**2 + (1 + 3 - 6)*(-2*y**2 + y**2 + 0*y**2).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72*l**3*n**3*s**2 + 4*l**3*n*s**2 + 3*l**2*n**2 - 2*l*s**2 - n**3*s**2 wrt n.\nAnswer: 432*l**3*s**2 - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.9 and -10.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 10\/3*r**4 + 0 + 8\/15*r**5 - 49*r**2 + 1\/30*r**6 + 0*r + 32\/3*r**3. Factor j(b).\nAnswer: 4*(b + 2)**2*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p. Let m(g) be the second derivative of -5*g**4\/12 + g**3\/2 + 6*g + 2. Determine m(w(y)).\nAnswer: -80*y**2 - 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 113007876 or 226015751\/2?\nAnswer: 113007876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = f + s + 1, 4*s - 8 = -2*f + 6 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/7 - 787156*d\/7 + 77451821042\/7.\nAnswer: 2*(d - 196789)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 + 5*a + 330. What is the tens digit of h(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 1. Let f be w(-5). Solve -f*s + 0*s + 12 = -2*g, 3*g = 3*s - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -375046, -750102, -1125158, -1500214, -1875270, -2250326?\n\"Answer: -375056*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Let y(q) = 210738*q**2. Give y(x(n)).\nAnswer: 210738*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4*f - 16, -2*f = -r + 3*f + 4. Suppose -r*d + 0*x + 46 = 3*x, 2*x = d - 6. Suppose d + 5 = 5*k. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9438794*k**4 + 99033232*k**2 - 3*k.\nAnswer: -226531056*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven halves of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.00877 - 12.00877. Let i = 28.4 - 28. What is the second smallest value in j, i, 1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 6*z**2 + 8. Suppose 0 = -526*n + 541*n - 90. Calculate m(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = o + 45, 62*j + 4*o = 61*j - 30. Let n(u) = u**2 + 4*u - 20. Calculate n(j).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 4*a**2 - 7*a - 6. Let z be o(8). Suppose 4*t + z = 2*g, 3*g = -2*g - 5*t + 515. Let i = -12 + g. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and -0.015.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006159 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 - (-230)\/4) + (-2)\/4 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -20, 18, 92, 214, 396, 650, 988?\nAnswer: 1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**5\/20 + 407*w**4\/2 + w**3\/3 + 3195*w**2\/2 - 5027*w. What is the derivative of t(f) wrt f?\nAnswer: 3*f**2 + 4884*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**5 + 219*y + 293*y**3 - 46*y + 218*y - 323*y**4 + 670*y**3 - 961*y**2 - 71*y = 0.\nAnswer: 0, 1, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmvvppvjcppm. What is prob of sequence pj?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110.4 + 111.6. Let p = -0.079 - 1.921. Is d greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*k = 2260, 0 = -g - k + 2*k - 564. Let i = -305 - g. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 1 + (-16)\/10. Let i = 9.8 + -14. Let c = 1.2 + i. Put a, 1, c in descending order.\nAnswer: 1, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14457, 57962, 130469, 231978, 362489, 522002?\nAnswer: 710517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -55?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33881478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4872)\/(-7308))\/(4\/150).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 2\/3 (c) -3 (d) 4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - t**2 + t + 2. Let x be w(0). Suppose x*g + 6 = -0*g, -4*b + 3*g + 13 = 0. Is b < 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 73 + 41. What is the remainder when 107 is divided by v?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*b + 178*b - 173513 = 216737. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 5:07 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 3. Let s be g(-4). Let j(h) = h + h + s - 3*h. Let f be j(-8). Solve -4*t - f = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*c - 119184 = 33*c - 2516796. Does 128 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/4 and (127\/(-15))\/(34\/(-85)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334892.\nAnswer: 2, 29, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/11 + 169388\/(-769296) and 37\/496.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - 48685?\nAnswer: -48675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1292 - -30859\/24. What is the common denominator of o and (23 + -5)*2\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 16) to base 14.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 761 divide 68892569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 15. What is the closest to -1\/5 in 2, 0.2, c, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**4\/11 + 29*k**3\/11 - 115*k**2\/11 - 525*k\/11 = 0.\nAnswer: -35\/3, -3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = a - 87*r + 90*r, -6*r = 2*a + 2*a + 246 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*b**4 + 251*b**4 - 2*b**2 - 91*b - 144*b - b**3 + 11*b**2 + 236*b to h*b**3 + v*b**2 + s*b + n*b**4 + m and give n.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 10*m**2 + 12*m - 12. Let b(f) = 4*f**2 + 5*f - 5. Let k(s) = -12*b(s) + 5*p(s). Let v(u) = 2*u**2. Determine v(k(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4650*d - 60442. Determine b(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i - 58. Let t be c(16). Suppose 0 = t*f - 14*f - 8. What is the lowest common multiple of 99 and f?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by -157426.\nAnswer: 83\/157426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)\/(f\/((f*f*f**(1\/9))\/f)))\/((f\/((f*f*f*(f\/(f*f**(-3\/5)))\/f*f)\/f)*f)\/((f*f**2)\/f)) assuming f is positive.\nAnswer: f**(152\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10 = 5*z, a - 3*z - 5 + 3 = 0. Suppose 0 = n + 5*i - 63, 118 = -0*n + a*n + 2*i. Suppose -2*b = -4*b + n. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxkr when four letters picked without replacement from {k: 4, v: 2, n: 4, q: 6, r: 1, x: 1}?\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3827709993 to the nearest integer?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 22*n + 22. Let p be v(-22). Suppose -o + p + 49*o**2 - 28 + 43*o + 15 = 0. Calculate o.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s**2 + 16*s + 100. Let q be c(-14). Let l = -778 + q. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*f + 5 = 47*f + 45*f + r, -3*f + 32*r - 160 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**4\/7 - 22392*m**3\/7 - 289104*m**2\/7 + 1049224*m - 4222260 = 0. What is m?\nAnswer: -5585, -27, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -f. Suppose 0*m - 5*m + 10 = f. Suppose -5*t + 2*l + 36 = 0, 0 = t - l - 1 - 5. Solve 4*n = 3*k - t, m*k + 4 = -2*n - 0*k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37695203 to the nearest one hundred thousand.\nAnswer: -37700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738 is divided by 227.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 201816 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*a**3 + 12*a**3 - 2*a - 16*a**3 to the form x*a + c + g*a**3 + t*a**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 6*p + 1. Let l be y(5). Let a be ((-52)\/56)\/(9\/l). Let q = 277\/63 + a. What is the common denominator of q and -63\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 61*j + 244. Give y(63).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6592885 or -6592993?\nAnswer: -6592885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = -8*j + 24. Let d = j - 31. Let o = 92 + d. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -10*h**2 - 2*h + 11. Let i be s(-10). Suppose 0 = -x - 2*x + i. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3191 is divided by 796.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**4 - 5*o + 7*o + 4*o + 2*o wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0249 - -361.0249. Let l = g + -361.1. Let m = 5 - 5.3. Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-4 + 4 + 3)*((3*u - 4*u - u)*(-17 - 8 - 9) - 2*u - 3 + 3)*(3*u + u**3 - 3*u).\nAnswer: 198*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + 18*g - 40*g.\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, 4, -6.\nAnswer: -119, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 s when three letters picked without replacement from {n: 1, s: 2, y: 2, e: 1, q: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -541*n**2. Let x(m) = 451*m. Give c(x(z)).\nAnswer: -110039941*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 935.3308 decades in years?\nAnswer: 9353.308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 3*f + 54. Let n(j) = -3*j + 20. Let t(a) = -2*n(a) + x(a). Suppose 0 = m - 7 - 3. Calculate t(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82 + 91. Calculate the highest common divisor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 1, -4, -3 in descending order.\nAnswer: 1, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 39281*y**2 + 4466*y - 39284*y**2 + 21 + (-y + 1 - 1)*(2*y + 2*y - 2*y) to the form g*y**2 + q + t*y and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = k - 36, -2*k + 43 = k - s. Suppose -t - 4*v + 7*v + k = 0, -4*t + 4 = 3*v. Which is bigger: t or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 + 12*l - 8 + 11)*(0*l**3 - 2*l**3 + 3*l**3) to y*l + v*l**4 + c*l**3 + g*l**2 + x and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.76 - 0.24. Let i(r) = 56*r - 333. Let l be i(6). What is the nearest to -6 in l, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 6 - 2*w**2 + 99*w - 4 + w**2 to k + s*w**2 + x*w and give x.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7092851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y - 87 + 13*y**2 - 19*y**2 + 5*y**2. Let d(b) = b**2 - 4*b - 6. Let t be d(5). What is s(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -36\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 306378, 1225477, 2757306, 4901859, 7659130?\n\"Answer: -d**3 + 306371*d**2 - 7*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**5\/140 - 45*z**4\/56 + 208*z**3\/7 + 167*z**2 - 18. Determine d, given that l(d) = 0.\nAnswer: 13, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1268, 1267, 1266, 1265, 1264, 1263?\n\"Answer: -r + 1269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*l - 6 = 0, 2*z - 17 + 9 = l. Let a(i) = 9*i**2 + 35*i - 11. Let x(v) = -5*v**2 - 18*v + 6. Calculate z*a(r) + 11*x(r).\nAnswer: -r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -4, 5, 4, 230 in ascending order.\nAnswer: -4, 0, 1, 4, 5, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2715*14\nAnswer: -38010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40232042, -40232043, -40232044, -40232045, -40232046?\nAnswer: -40232047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873318 is divided by 1051?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -10*u - 3. Let q be f(4). Let i be 3786\/(-36) + 2\/12. Let c = i - q. Round c to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2411*j*v**2*y - 2*j*v*y + 5*j*v + 5*j*y wrt v.\nAnswer: -4822*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 918637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4\/9, 0, -438, 1\/4 in decreasing order.\nAnswer: 4\/9, 1\/4, 0, -0.5, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 3:40 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-4 + 10))*(186\/(-12))\/1.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31451, -2\/5, -2\/7 in increasing order.\nAnswer: -31451, -2\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3*j + 5 = 0, 35 = -94*l + 104*l + 5*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188 and 78866.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1085140 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2, d - 5*p = -d - 8. Let r be 2 - 1 - (-2 + d). Suppose r*n + 8*m - 3*m + 19 = 0, 5*n - m = 20. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 941498.8ml?\nAnswer: 941.4988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 4*u + 3. Let v be l(-4). Suppose 157*m = 145*m + 12. Put -1, v, m in increasing order.\nAnswer: -1, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + sqrt(1216))**2 + (3*sqrt(19) + 1)*-2.\nAnswer: 26*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 213, 206, 199, 192?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 17. Let v be x(-9). Let u(q) = q**3 + 8*q**2 + 3. Let h be u(v). Suppose -5*b = 0, 4*b - 3 = -h*g - 0*b. Solve -g = 2*j - 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-175)\/10)\/7*10. Let l(f) = -f**3 + 8*f**2 - 6*f + 4. Let i be l(6). Let h = i + p. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52947667\/4 or 13236918?\nAnswer: 13236918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2. Let s = -4.92 - -4.832. Let a = 0.488 + s. What is the closest to u in -0.3, 5, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*i = -4*i + 1562 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 9) in base 7?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -11) + (8 - (43 - 29))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -600558\nAnswer: -2402232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 7*h + 7*h + h**2 + 2*h**4 + 2*h**3 - 15*h to the form p*h**3 + u*h**4 + m + j*h**2 + a*h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*x - 13*x - 7*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 223961 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: Suppose -2*z = -24 - 4. Suppose -11*g = -z*g - 9. List the prime factors of (-151)\/g + 6\/9.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 10*i**2 - 2*i + 330. Calculate the remainder when 3314 is divided by g(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29979 - -29979.01. Suppose p - 3 = 4*s - 2*s, 5*s + 4*p = -1. Sort s, f, -0.08 in descending order.\nAnswer: f, -0.08, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1193*j**2. Let s(g) = 1699*g. Give s(y(l)).\nAnswer: -2026907*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 14*n**2 + 12*n + 1. Let a be r(-10). Let h = 303 - a. Solve 0 = 5*b - h - 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/6*(-144)\/2176*17?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 6. Let m be o(5). Suppose 3*g + 26 = -5*v, 5*g + 9 + 5 = -v. What is the units digit of 10*g\/4*m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 100\/3*n**3 + 30*n**2 - 35\/12*n**4 - 4 + 47*n. Suppose o(a) = 0. What is a?\nAnswer: -2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 253181?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-42) - 728\/98.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 20\/3*b**3 - 10*b + 16 + 15\/4*b**4 - 25\/2*b**2. Solve t(a) = 0 for a.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 50865.1.\nAnswer: -152595.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 = 3*s + 3*x - 2618, 2*s - 2088 = 2*x. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1780270546 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-1) - 1) + 4*11\/28?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80655?\nAnswer: 3, 5, 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*g**3*u**2 + 7*g**3*u*w**2 - 5170*g**3*u - 3*g**2*u**2*w - 861*g**2 + 51*g*u**2*w**2 + u*w**2 + 10*w**2 wrt g.\nAnswer: 258*u**2 + 42*u*w**2 - 31020*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/3 (b) -5\/4 (c) 7\/55469\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 + 0)\/((-1055)\/(-422)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j - 16. Suppose 4*t + 7 = 3. Let o(p) = -1. Let q(h) = t*v(h) + 16*o(h). Let w(i) = 2*i**2. What is q(w(l))?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -5 - (3 - 3 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 + -26.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = -4*w, 2*w + 4*j = -3 + 1. Suppose 25 = w*q + 2*q. Suppose -3*s + q*g + 9 = -2*s, -3*g = -s + 7. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 - -66. Let j(a) = -3*a + 0*a + 7*a**2 - 15*a**2 + 9*a**2. Calculate j(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from wwff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 + -2)\/(0 - 1). Let x(k) = -k**3 + 5*k**2 + 2*k - 6. Let z be x(5). Suppose -2 = -3*l - z*r, -3*l + 2*l - 2*r = -2. Sort l, w, -4 in ascending order.\nAnswer: w, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 3:20 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 237*a + 1314.\nAnswer: 3*(a - 73)*(a - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -164896?\nAnswer: 164895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 2, i: 2}. What is prob of sequence di?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 6. Let g be h(2). Put g, 32, 1 in descending order.\nAnswer: 32, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*o + 75*o + 226 + 390, -5*o + 2*o - 24 = -3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -1\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -134264.1092 rounded to 0 decimal places?\nAnswer: -134264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from eeeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 w when four letters picked without replacement from bbwwwbwbbwwbbwwbbww.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4613 and -1.7.\nAnswer: 4611.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y**3 - 7*y**2 + 15*y + 12. Let l be u(6). Let m = -713 - l. List the prime factors of m.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 6*g + 10. Let q be o(3). Let l be q*-5 + (-30 - 10)\/(-8). Solve -c + 5 = -l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2507 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 + 17*i. Let y(d) = 2*d**2 - 10*d + 36*d + 3*d**2. Let l(n) = -8*b(n) + 5*y(n). Calculate l(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46980997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 180492217 to the power of 1\/3, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = c - 0*d - 4, c + 6 = -3*d. Suppose -4*r = -c*g + 2*g - 22, -r - 55 = -5*g. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 956*b - 5007 = -713*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 41*c + 259. Let d be w(33). Let v(i) = -i**2 + 4*i. Let q be v(3). Suppose 6 = -3*y - 3*r, 3*y - 2*r + q = 12. Put y, d, 4 in ascending order.\nAnswer: d, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -155, -9, 12\/11?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -177*l - 8688. Determine p(-49).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 987103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(3\/4))**(-17))**(-10) assuming w is positive.\nAnswer: w**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-4\/5))\/x)\/x*x**(-3)\/x*(x\/(((x\/(x\/(x*x**(3\/5))))\/x)\/x))\/((x*((x**(1\/4)*x)\/x)\/x*x)\/x) assuming x is positive.\nAnswer: x**(-93\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.7 and 1186 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5}. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 2*n + 7. Determine q(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 73*f - 171. Let r be 6*(21\/6 + -11 + 9). Does 54 divide u(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -18, -57 in increasing order.\nAnswer: -57, -22, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 24 = 2*l. Let y(z) = -3*z - 26. Calculate the smallest common multiple of y(l) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kng. What is prob of sequence nk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124 + 72. Let a = f - -57. Let j be 9\/(-6)*(1 + 1). Let h(w) = 6*w**2 + 5*w. Let l(z) = 3*z**2 + 3*z. What is a*l(d) + j*h(d)?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 31*h = -198. Calculate the lowest common multiple of 34 and h.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19\/24 + -9\/8. Let y = -23212 + 23177. Is o less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 1, r: 1, o: 2, e: 2}. Give prob of picking 1 i and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7*(-2 + 80\/35) + 6. Solve 0 = -d*n + 25 - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999397 is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4172423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6930 = 209*t - 314*t. Solve 14*a - 3*a + t = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = -0, 4*l + 2520008 = 4*n. What is l rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -307 and 0.2261.\nAnswer: -69.4127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -646, -1306, -1978, -2668, -3382, -4126, -4906?\n\"Answer: -a**3 - 653*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1119 - -1068. Which is the third biggest value? (a) 3 (b) 0.4 (c) -3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 3*q - 4*q)*(-q**2 + 2 - 2) - 16*q**3 - 4*q**2 - 1 + 4*q**3 + 3*q**2.\nAnswer: -14*q**3 - q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 + 6306*v + 1643589\/2.\nAnswer: -(v - 12741)*(v + 129)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.34 less than -92387.919?\nAnswer: -92386.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 - (2 - (41 - 10))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 281?\nAnswer: 7\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20 - -2 - 3037848\/(-171050)\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*c + 20. Let z be (-3)\/((-9)\/2)*24. Suppose z = 4*j + 2*u, j - 4*u = 5 + 8. Solve 2*a = -a + c, 3*a - 40 = -j*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -331?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 s when three letters picked without replacement from {q: 1, s: 4, u: 3, j: 6}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 217375956 to the power of 1\/2, to the nearest integer?\nAnswer: 14744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.40385935 - 27.404. Round r to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8461260766.\nAnswer: 2, 7, 19, 313, 101627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 530298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13748 and 18887788?\nAnswer: 1964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -64128.8 and 20865779.08.\nAnswer: 20801650.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-4\/5))\/o**(1\/6))\/(o**1)**(-28) assuming o is positive.\nAnswer: o**(841\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 11*v**3 + 2*v**2 - 1. Suppose -2*z + 6 = 3*b - b, 0 = 5*b - 20. Calculate r(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 102 - 245 + 111, -l = 4*r - 36 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, 1\/6, 5333, -0.3, 2\/15 in descending order.\nAnswer: 5333, 5, 1\/6, 2\/15, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8.38 and -4.2185.\nAnswer: -12.5985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**4\/4 + 30*f**3 + 1467*f**2\/2 + 1378*f + 2697\/4 = 0?\nAnswer: -87, -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 13*u + 32. Let a(m) = 7*m + 16. Let y(h) = -11*a(h) + 6*n(h). What is the remainder when y(-5) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2, 0*d + 3*d + 2*b = 11. Solve -w = d*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + ((-30)\/(-4) - 1))*26\/65. Let d(x) be the second derivative of -8*x - 3*x**2 - 3\/2*x**l + 3\/20*x**5 + 0*x**4 + 0. Factor d(q).\nAnswer: 3*(q - 2)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (1 + -8 - (-20 - (7 - 32)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -1\/4, -4, -15, 2\/9, -161?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19727 - -19731. Let y(t) be the second derivative of 32*t + 0 + 16\/3*t**3 + 0*t**2 - 13\/6*t**w. Find the second derivative of y(l) wrt l.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 - 14*o**3 - 32*o**2 + 128*o.\nAnswer: -o*(o - 2)*(o + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 8*r. Let t(b) be the second derivative of -2\/21*b**3 - 3*b + 1\/70*b**5 + r*b**2 + 0 + 1\/42*b**4. Find c, given that t(c) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -4\/7, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = -17*a + 6*a. Let w(z) = 12*z**3 + z - 2. Let i be w(2). Suppose 6*u = 8*u - i. Calculate the highest common divisor of u and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4650458, -4650445, -4650408, -4650335, -4650214, -4650033?\n\"Answer: 2*s**3 - s - 4650459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, j: 3, i: 3, e: 3, c: 2}. What is prob of sequence ij?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 - 213 + 561)*(3 + 0 - 2 + (3 - 4 - 1)*(-1 - 1 + 0) + 0 + 1 + 0)*(2*h + 0 + 0).\nAnswer: 5316*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9*p. Let x(f) = 330*f**2. Calculate x(h(c)).\nAnswer: 26730*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532*o + 534*o = -v + 43, 70 = -4*v + 3*o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -170 + (66 - -66) - -89?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8460)\/1692)\/((-2)\/40*-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 305.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 15. What is the units digit of y - (2 - (0 - -2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 71349316 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + m**2 + 13*m - 16. Let v be w(5). Let r = v + 53. Let d(a) = 9*a - 6. Let p(h) = 4*h - 3. Let c(n) = -3*d(n) + 5*p(n). Calculate c(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from nzjxnljnjljjj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -546545356 divided by 194708\nAnswer: -2807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.581 - 15.581. Let m = 3 - 1. Which is the biggest value? (a) -2\/11 (b) m (c) z (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 4. Suppose -2*t - 8 = -10*t. Suppose -a - t = 0, -a + 15 = 4*m + 60. Sort v, -5, m in ascending order.\nAnswer: m, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 501 (base 9) to base 13.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9619, -9690, -9763, -9838, -9915, -9994?\n\"Answer: -n**2 - 68*n - 9550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -497*a - 5. Let s be c(-15). Let o = s - 12550. Find the common denominator of -47\/14 and ((-6)\/20)\/((-216)\/o).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + 51. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222209 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-39)*(-24)\/(-864)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 5*v + 11 + 9, -5*o - 13 = 2*v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-2 + -8)) + 1. Suppose 4*p - o = 3*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1857*p**2. Let u(n) = 4*n. What is u(o(f))?\nAnswer: 7428*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.4, 0.3, 129, 3 in decreasing order.\nAnswer: 129, 3, 0.3, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1205, 1206, 1197, 1172, 1125, 1050?\n\"Answer: -s**3 + s**2 + 5*s + 1200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*n + 10*n. Let t be n + -3*(-15)\/9. Solve t + 1 = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1806 divided by -6.\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 143 - -1031?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*s + 70. Suppose 0 = 2*a - 5*a + w - s, -5*a - 28 = 4*w. What are the prime factors of (-6)\/a*(-72)\/(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-3*sqrt(325))**2 - (sqrt(325) - (sqrt(325)*4 + -2)))*-3.\nAnswer: -78969 - 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -16*p**3 + 2*p**2 + 2*p - 1. Let g(y) = -32*y**3 + 5*y**2 + 5*y - 2. Let l be (6\/(-27))\/((80\/(-72))\/(-10)). What is l*g(a) + 5*c(a)?\nAnswer: -16*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (11 - 4) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17666*g*v**6 + 24968*g*v + 2*v**3 + 2*v**2 wrt v?\nAnswer: -2119920*g*v**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/244?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*w + 129*w - 16 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p**3 - 21*p**2 - 53 + 3*p**3 + 21*p**2 in the form b*p**3 + x*p + t*p**2 + g and give g.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 16*t - 28 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 1:39 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-66)\/5*(-3 - -23). Let s = 30 - r. Suppose 3*t + s = -4*n - 378, n + 1137 = -5*t. Round t to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -20111010?\nAnswer: -20111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 7*x + 4*i + 26 = 0, 5*x - 4*i = 59. Solve -d - 8*c + 1 = -5*c, -3*c = -d - x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1228 - 2548 = 0. Let k = t - 395. What are the prime factors of k?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 0*h + 5*h + 1)*(5*h**2 + 3*h**2 - 3*h**2)*(2 - 1 + 3) as u*h**3 + t*h**2 + m*h + l and give u.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 7.7. Let z = -0.2 + y. Let m = 418\/15 - 28. Sort 1, m, z in descending order.\nAnswer: 1, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 2*t - 5. Suppose -i + 132 = 4*o, 0 = -5*o + i + 90 + 66. Let g = -24 + o. Is z(g) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4251?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z. Let v(o) be the second derivative of -1\/15*o**6 + z*o**5 - o + 0 + 0*o**4 + 0*o**2 - 1\/3*o**3. Find the second derivative of v(r) wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7*s - 1268 = 0. Find the first derivative of s + 4*k - 5*k - 6*k**2 - 601 wrt k.\nAnswer: -12*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*q - 43 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23356b + 0?\nAnswer: -23356b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012201212 (base 3) to base 12.\nAnswer: 11988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d - d + 28. Suppose 0 = p + d*q - 2*q - 439, -5*q = -10. What is the remainder when (-4)\/18 + p\/135 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, p: 2, m: 6, y: 1, l: 2, h: 2}. Give prob of picking 2 m and 2 h.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/4 + 100058*p**3 - p**2\/4 - 100058*p = 0 for p.\nAnswer: -400232, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((160\/520)\/(12\/(-78)))\/(2\/(-10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 4.94. Let z = y - 3.06. Let h = -11 + 14. Which is the biggest value? (a) z (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -11011111000?\nAnswer: -11011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -37*i**3 - 154*i - 153. What is w(-1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 2:04 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 657793 divided by 4?\nAnswer: 657793\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-10) - ((-27)\/((-1350)\/(-5030)) - 3*-6).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.8 (b) -33 (c) 0.347 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15483473?\nAnswer: 53, 292141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*i + 2*i**4 + 3*i**2 + 15*i**4 - 19*i**4 + i to the form o*i + t*i**2 + v*i**4 + n + g*i**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 2330454*f - 16313325.\nAnswer: 3*(f - 7)*(f + 776825)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1758625?\nAnswer: 5, 11, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3\/2 + 1893*z**2\/2 + 51093*z\/2 + 265923\/2 = 0. Calculate z.\nAnswer: -603, -21, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2. Let c(j) = -52212*j + 1541. Determine c(a(n)).\nAnswer: -104424*n**2 + 1541","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/9650 - -38609\/28950. Factor -14\/3*d - 5\/6*d**3 - n - 11\/3*d**2.\nAnswer: -(d + 2)**2*(5*d + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2020461 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**5 - 4*q**5 + 5*q**5 + q**5 + 0*q**5 - 23*q**5 - 6*q**5 + 2*q**5 + 2*q**5 + (q**3 + 2*q**2 - 2*q**2)*(q**2 - q**2 + 2*q**2) + q**3 + q**5 - q**3.\nAnswer: -23*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -307 - -306.6. Which is the smallest value? (a) -1\/2 (b) 3 (c) y (d) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 8*d**2 - 10*d - 8. Let v be z(-9). What is the biggest value in v, -10, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b + 392. Suppose 0 = -x + 3*f + 20, 5*x - 3*f = x + b. Let l = x - 17. Solve 0*t + l = -3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22013101 (base 4) to base 12\nAnswer: 1bb81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-8) + 4 + (-5)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 0 + 173*a - 2 - 21*a + 7. Is t(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1024803 = -4*r, 10*f = 3*r + 8*f - 768583. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7, 18, 27, 34?\n\"Answer: -t**2 + 14*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9*x**3 + 229*x**2 - 5*x - 369. Let g(a) = 9*a**3 - 234*a**2 + 4*a + 368. Let u(k) = 3*g(k) + 2*m(k). Find the second derivative of u(o) wrt o.\nAnswer: 54*o - 488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6041?\nAnswer: 7, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32531, -65099, -97707, -130355, -163043?\nAnswer: -195771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18025776 rounded to the nearest one thousand?\nAnswer: -18026000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hynhiy. Give prob of sequence hnh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38520 - -962997\/25. Sort -1, t, -2, -5, -2\/13.\nAnswer: -5, -2, -1, -2\/13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 628843*u**2 + 3773061*u + 18 = 0. Calculate u.\nAnswer: -6, -3\/628843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, -401, 15\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -2*q + 5, 0*z = 2*q + 10*z + 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/9)\/y)\/y*y**(-3\/2)*y*y**4*(y**(-5)*y)\/y assuming y is positive.\nAnswer: y**(-59\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 h, and 1 q when three letters picked without replacement from {j: 2, i: 1, s: 2, q: 2, h: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -3)\/(-2) - 1. Is f at least 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.04 (b) -12 (c) 0.05 (d) 43\/4 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27254 - 27198. Solve 7*b + n = 105 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/59)*(f\/f**(-9\/5))\/f assuming f is positive.\nAnswer: f**(526\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -2833.\nAnswer: 2832.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a + 37. Determine n(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1794, -41, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {l: 2, y: 9, k: 6}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 - 3*a**2 + 4*a**2 - 49 + 55 in the form z + k*a**2 + x*a and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -340, -631, -2 in ascending order.\nAnswer: -631, -340, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + u - 2. Calculate p(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 91?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*r - 117*r + 87*r - 97*r.\nAnswer: -391*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1335012 (base 8) to base 14.\nAnswer: -9aab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2 + 183*c + 84. Is z(-50) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 766 and 613183?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-5) - 192\/(-30). Let x = -5 + 12. What is the greatest common factor of x and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-24)*1*2\/(-16).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 11*v = -12*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1079.3186 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/36)\/((-6)\/18).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -114617 divided by -18\nAnswer: 114617\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 281.18928 months in years?\nAnswer: 23.43244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.106 * 9730\nAnswer: -1031.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 774*o**3 - 11*o**2 - 11*o + 19704428 wrt o?\nAnswer: 2322*o**2 - 22*o - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4891?\nAnswer: 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.91208 - 0.01328. Let v = 0.9 - w. What is v rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8060 is divided by 1953.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uueg when four letters picked without replacement from eugeuuueeee?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*g - 2*h, -2*g - 4*h + 2*h = 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(2\/13)*q*q*(q*q**18*q)\/q*q assuming q is positive.\nAnswer: q**(297\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -423266.\nAnswer: 6\/211633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58596204.\nAnswer: 2, 3, 59, 82763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -4 + -28 - -3 - -22?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, l: 7, d: 2}. Give prob of picking 1 l and 2 s.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3375047949 to the power of 1\/3, to the nearest integer?\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39086 - 31.\nAnswer: 39055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -2, -7 in increasing order.\nAnswer: -7, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.2889061 + 168.7108399. Let x = d - 183. Round x to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**2 - 11*o + 18. Let n be h(2). Suppose 14 = -2*w + n. Let t(z) = -3*z**2 - 3*z + 4. Let l(b) = b**2 + b - 2. What is w*l(j) + 2*t(j)?\nAnswer: -j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**3 + t + t**2 + 1 - 1\/12*t**4. Let b(q) be the first derivative of i(q). Determine b(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 - 109 - 80)*(0*i**4 + i**4 + 0*i**4).\nAnswer: -256*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 6*j + 6. Let v be r(6). Solve 1 = 5*m + v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 17, 3, 780, -2, 0.\nAnswer: -8, -2, 0, 3, 17, 780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (-4)\/38 - 22933350\/(-1881)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 441*f + 20467. Let r(n) = n. Determine g(r(o)).\nAnswer: 441*o + 20467","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*c*j**2 - 2456*c - 20595*j**2 - 217*j - 1 wrt j?\nAnswer: -80*c - 41190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 148, 253, 468, 829?\nAnswer: 1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -64920335 divided by -10313\nAnswer: 6295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 47*j - 949. Give a(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/23864 + 883017\/1169336. Calculate the common denominator of -60\/77 and c.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*r + 61 - 61)*(-9 + 32 - 19 + 6*r**2) as f + c*r + d*r**3 + n*r**2 and give c.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9540 divided by -1.\nAnswer: -9540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 - 20*w - 19*w**2 + 19*w**2.\nAnswer: -3*w**3 - 20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 0*v - 6 + 1\/20*v**4 - 1\/30*v**3 - 1\/30*v**6 + 0*v**2 + 1\/50*v**5. Determine w, given that k(w) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*i = -22, -2*o + 4*i = 9*i - 16. Suppose o*u = -u + 384. Let r = u + -91. Solve 3 = -2*g - 3*k - r, 0 = 2*g - 2*k - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211 + 222221110?\nAnswer: 222212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*k + 18 = 0, 4*n + 2*k = 5*k - 24. Let i = 8 - n. Suppose 13*u = i*u - 100. 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 i = -10605 + 12455. Which is bigger: 1849 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42955.358556 minus -0.4?\nAnswer: -42954.958556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(132) - (sqrt(132) - 3*sqrt(132)))\/sqrt(6))\/sqrt(2).\nAnswer: -2 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.16963 + -36.55463. Let j = v - -35.4. Let a = j - -1. Round a to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 39*k**2 - 23*k + 68. Let z be r(4). What is the highest common divisor of 48 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 less than or equal to 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*-3*3*5 + (-3*(sqrt(210)\/sqrt(5) - sqrt(42)))\/(4*(sqrt(6) - sqrt(24)\/sqrt(4)) - sqrt(6)) + -4.\nAnswer: -270*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 21*j - 83. What is o(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l + 1. Let r(d) = -d**2 + 14*d + 35. Let s be r(16). Suppose -22 = -5*q - 3*j, 0 = -2*q - 7*j + s*j + 20. Calculate a(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*p - 42*p - 3 = 0. Put -3, 0, -7, p in decreasing order.\nAnswer: 0, p, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130289119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 + 13. Let x = 10 - f. What is the greatest common divisor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 178b98 + 7b7?\nAnswer: 179793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175196 is divided by 160.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/6*g**4 - g**2 + 4\/3 + 2\/3*g - 1\/6*g**3 = 0. Calculate g.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 312.57 + -314. Let r = p + 1.43034. What is r rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236558344*i = 236558390*i + 4968 for i.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25208551*c**3 + 2*c**2 + 52776*c + 53?\nAnswer: 151251306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 - 23*w**3 - 32*w**3 + 2*w**3 - 23*w**3 + 9*w**3.\nAnswer: -72*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 459.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2380\/9 - -264. Let v = -357867\/1789285 + 2\/357857. What is the second smallest value in j, v, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -6359*d**2 - 1335438*d\/7 - 1440\/7 = 0.\nAnswer: -30, -48\/44513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14275 and 128475.\nAnswer: 128475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -101*8\/12*(-9)\/6?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5013*h + 5589. Let n(x) = 1648*x - 1863. Let z(k) = 6*f(k) + 17*n(k). What is the derivative of z(j) wrt j?\nAnswer: -2062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-1 + (0 - 9\/(-3))). What is the units digit of (-12)\/g*5*(-545)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 10. What is the units digit of i(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6224923 or 6224922?\nAnswer: 6224922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**3\/6 + 56*r. Let d(t) = -38*t - 17. Let q(i) = 13*i + 6. Let z(k) = -6*d(k) - 17*q(k). Calculate l(z(g)).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -60*((-24)\/10 + 2). Suppose 0 = -2*c + 4*c - m. Suppose -i = -2*i + c. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11 + -21 - -16 - 41. Sort 15, n, -2 in ascending order.\nAnswer: n, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 - -11) - (22 + -23)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzx when three letters picked without replacement from wwwffzwwzffxw.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10550 - -40?\nAnswer: 10620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 1)*(-16*u + 0*u - 2*u).\nAnswer: 72*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = h + 2*q, -2*h - 10*q - 9 = -13*q. Let y(a) = a**3 + a**2 + 3. Let p be y(0). Factor 5\/3*n**4 + 0 + 0*n - 5\/3*n**2 + h*n**p.\nAnswer: 5*n**2*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 4\/5, -215, 6, -3?\nAnswer: -215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 173 - 139 = 3*f, 4*f + 5*z = -416. Let y = 108 + f. Solve 0*t = -y*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 + (4 - -1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.2 + -13.8. Let q = y + 18.055. Let n = 0.054816 - q. What is n rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 31*r + 109. Let h be b(-36). Let c = h - -1585. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*w**3 + 3*w**2 + 430 - 427 - 638*w**3 - 277*w**3 to i*w**3 + p*w + l + g*w**2 and give i.\nAnswer: -1054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/5 and 12\/22198279.\nAnswer: 110991395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 139*f + 1659. What is x(-11)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-5)\/((-10)\/4) - 128\/(-28)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - 23*r + 16. Give v(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297 = -6*k + 375. Calculate the remainder when 465 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 10:25 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + -3)*-2 + -5)**2.\nAnswer: -36*sqrt(19) + 6157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 - -74. Differentiate 7 - f*m**3 + 29 + 2 with respect to m.\nAnswer: -51*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1979 + 417 + 131 = 361*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0)*13\/26.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzazsys. Give prob of picking 1 s, 1 y, and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 8*q + 1. Suppose 5*c + 839 = j, 0 = -3*c + 2*j - 291 - 211. Let m be c\/(-12) - (-1 + 3). What is the units digit of d(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (187 - 175) + (0 - 16) - (1 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1101*p**3*w + 44*p**3 + 2*p*w**4 + 766*p wrt w.\nAnswer: -1101*p**3 + 8*p*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 11:46 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0880872 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from offfooffofofffffff.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z**2 - 4326*z + 13042. Give h(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**4\/2 + 7*h**3\/2 + 3*h**2 = 0?\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 3*y - 5*y)*(3496 - 3498 - 18*y - 41*y).\nAnswer: 236*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9296 by 7.\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 11:14 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 14*r - 20. What is m(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102052229?\nAnswer: 599, 170371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(5\/(-5)*(-3)\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (798\/(-532))\/(3\/112).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 3*i - 1. Let y be q(-3). Is -23\/14 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2089 and 1.\nAnswer: -1.2089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 722260.8m in nanometers?\nAnswer: 722260800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -124a61 (base 15) to base 3\nAnswer: -1122112021201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-469)\/(-134)*(0 - 132\/(-7)) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - l - 3, 5*l = -8*r + 10*r - 15. Let -3\/4*g**5 + r + 0*g**2 + 3\/4*g**4 + 0*g + 0*g**3 = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 352 = -5*r. Let p = 70 - r. Suppose -p = o - z - 3, 4*z = 8. Solve u + o + 1 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o - 19. Let j be w(17). Let p = -735 - -375. Find the common denominator of j\/p*254\/4 and 82\/21.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2*k + 185 = 0. Let w = -35 - k. Suppose 0 = t + w - 14. What is the greatest common divisor of 30 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - q + 64. Let b be y(0). Let l be (2\/4)\/(1\/4). Suppose l*o - 48 = t, 3*o + 2*t = b + 8. Calculate the highest common factor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + t + 24 = 0, 4*z + 0*z = 3*t + 27. Suppose 8*r = 3 + 21. Calculate the remainder when z is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 242894566 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*u = -10 + 1, -3*t = 2*u - 7. Solve -3*d - 7 = -t*i, 0 = -2*d - 0*d + i - 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 13*j**2 + 43*j + 76. Calculate s(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in micrometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -u + 2*x - 6, u = 4*x - 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 98\/42 - 2\/6. Let l(a) = 2*a**f - 8*a + 8*a + 0*a**2. Let w(u) = 2*u. Determine w(l(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 - 129 + 65*x**3.\nAnswer: 65*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 153096524 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 0.5, -1\/3, -0.11, -1\/5 in decreasing order.\nAnswer: 0.5, -0.11, -1\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 2*c + 95. Let j be y(11). Calculate the remainder when 347 is divided by 2443\/(-196)*j - (-1)\/7.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 260.9, -2\/5, 0, 0.2, 3 in descending order.\nAnswer: 260.9, 3, 0.2, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*i = 179, 2*i - 112 = -2*k - 0*i. Suppose -n = -2*n + k. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -1)\/(270\/(-66) - -4). Suppose -14*l + 1002 = -j*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0026292909 to 4 decimal places.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*y + 30 = -0*b, 2*b = -y + 20. Let o be ((-4)\/(-10))\/(2\/b). Suppose -3*h - o = -5*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -11*l - 8. Let x be u(-1). Suppose -w + x*k + 323 = 4*w, -4*w + 256 = -3*k. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s = 4*s - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (4 + 3)) + 3 + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -9*s**2 - 7*s + 4. Let t(n) = 8*n**2 + 6*n - 4. Let o = 8 + -2. Let c(y) = o*r(y) + 7*t(y). Is 14 a factor of c(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 292 = l, 2*f + 2*l - 168 - 124 = 0. Suppose 8 = 4*o, 0 = -3*v - 5*o + 8 + f. Suppose -5*w + 533 = v. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + n + 1. Let r(d) = -5*d**2 - 8*d + 41. Let x(f) = 4*b(f) - r(f). Let s be x(-15). Let j be s\/20 - 13\/(-5). Solve j*m = -m + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -20388*d + 62296. Calculate b(3).\nAnswer: 1132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069 times -0.21?\nAnswer: -0.01449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 0*p**5 - p**2 + 0*p**3 + 0*p - 1\/240*p**6 - 1\/420*p**7 + 0*p**4 + 0. What is w in k(w) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2438, 3313, 4188?\n\"Answer: 875*x + 1563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23985976649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.4, 0.11, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqqv when four letters picked without replacement from qqqvvvvvy.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/10 - -6\/5. Let p = 7279\/29212 + 6\/7303. Factor g*r**4 - 1\/2*r**2 + 0*r**3 + 0 + p*r - 1\/4*r**5.\nAnswer: -r*(r - 1)**3*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 92938?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 192672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -749a4a - 1?\nAnswer: -749a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28252701 is divided by 4832.\nAnswer: 4829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1004.006058 + -1004. Round u to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 14*v. Let q be l(12). Let i = 25 - q. Sort i, 2, -5.\nAnswer: -5, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5f + -140?\nAnswer: -e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 904, 1812, 2730, 3664, 4620, 5604, 6622, 7680?\n\"Answer: w**3 - w**2 + 904*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1609\/27353 - (-103)\/(-17). Suppose -3*w - 2*h = -29, w - 5*h = -2*h - 5. Let t = w - 2. Sort t, 3, q, -4 in decreasing order.\nAnswer: t, 3, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*r - 3092*r**2 - 50*r + 23*r.\nAnswer: -3092*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 1:52 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 145764.4ml in litres?\nAnswer: 145.7644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48974388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) -1\/3 (b) -2 (c) -1\/9 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 17*o**2 + 38*o + 20. Calculate q(19).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -3*f - 55*f. Let n(p) be the second derivative of -12*p + 3\/2*p**2 + 1\/6*p**4 + 1\/2*p**f - 1\/20*p**5 + 0. What is n(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -716432850 divided by 4050?\nAnswer: -176897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -c + 1, -r + c + 0*c + 7 = 0. Let b = 179 - 173. Solve 0 = -r*q - b - 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {u: 1, h: 4, x: 6, f: 2, i: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {m: 6, l: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2040068 + 8.\nAnswer: -2040060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -100 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1224695 - 2326110 = -51*h + 1285436. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 190 = -u, 0 = f + 4*u + 53 + 6. Let b be (-9)\/(-18) - f\/2. What is the highest common divisor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6567 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.173 - 0.027. Round c to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -1\/45 (c) -29 (d) 1 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04763573 rounded to 4 dps?\nAnswer: -0.0476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 906, 4300, 7704, 11118, 14542?\n\"Answer: 5*z**2 + 3379*z - 2478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2546769?\nAnswer: 3, 848923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuo when four letters picked without replacement from uuuooubbuwuuwuou?\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 8:34 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1221 - -2.8779. Which is the nearest to -1\/3? (a) w (b) -0.06 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + j - 138712 = 64809, 2*k - 58145 = j. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2927 (base 15) to base 7.\nAnswer: -34456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**5 + 228992*i**4 - 10984704*i**3 + 131788800*i**2 = 0. What is i?\nAnswer: 0, 24, 57200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 8:52 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-7 - -8 - (-1 - 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000017118 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5453300 to the nearest 100000.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1866 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d59 + -205?\nAnswer: b54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-1 + (-1 - -1)). Let d(v) = v**2 + v + 1. Let l(w) = -w**2. Let g(m) = 5*d(m) + 6*l(m). Give g(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -f + 24, -f + 17 = -0*t + 3*t. Suppose 4 - 19 = -3*r, -4*a = -3*r + t. Let o(z) = 2*z**a + 4*z**2 + 0*z**2. Let q(h) = -h. What is q(o(y))?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 70 = 4*w, -w + 4*w = 3*v + 51. Suppose -2*y = w - 69. Suppose 29*o = y*o + 72. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 5*f**2 - 11 + 0 - 7*f + 1 = 0 for f.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10938.\nAnswer: 2, 3, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 31\/2 of a microsecond?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1 + 2 + 2*u**2 + 5*u - u**2. Let s be h(-4). Calculate the remainder when 15 is divided by s\/2*-6 - 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2776 - -51023?\nAnswer: 53799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00869269808 + 5.\nAnswer: 4.99130730192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a week in hours?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 418*n**2 + 10 - 662*n + 335*n**2 - 751*n**2 to the form q*n + p + t*n**2 and give q.\nAnswer: -662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6983 - -a?\nAnswer: -6978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/749, 1\/6 in descending order.\nAnswer: 1, 1\/6, -1\/749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4 + 319*x**3\/4 + 59*x**2 - 79*x\/4 = 0. What is x?\nAnswer: -79, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 318 + -314. Let s(i) = i - 1. Let h(n) = -9. Let o(k) = -h(k) + 9*s(k). Let t be o(2). Solve -x + t = -4*x + 3*z, 0 = g*x + 2*z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*w + 12*w - 936 = -7*w. Let j(r) = 4*r**2 - 11*r + 5. Let p be j(8). Let z = 245 - p. Calculate the greatest common factor of w and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -1. Let f = 0.1 - -0.1. Let y = z + f. Sort 4, y, 2.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1\/6, -4, -2, 3 in decreasing order.\nAnswer: 3, -1\/6, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**7\/350 - 7*t**6\/20 + 319*t**5\/100 + 39*t**4\/4 + 8*t**2 - 2*t + 34. Solve z(n) = 0 for n.\nAnswer: -1, 0, 6, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w - 4*w - w + 2*w in the form n + m*w and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(17150\/(-364)) - (-6)\/(-10).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 42 - -14 - 46 - -15\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 2*j - 4. Calculate a(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*w + 0 + 0.\nAnswer: -58*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -40464014 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(2\/5))**15)**(5\/2)\/(v**0\/(v**(-2)\/v))**(2\/19) assuming v is positive.\nAnswer: v**(1134\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534553 is divided by 15715.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/186 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49717992 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 228\/31 + 1019\/186. Suppose -j - 18 = t - 0, -j = 4*t + 57. Let x = f + t. What is the biggest value in x, -10, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178622 times 17?\nAnswer: 3036574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbtyttbttnynbtn. What is prob of sequence nby?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 181.644 - 182. Let z = 51 - 50.956. Let n = z - w. Which is the biggest value? (a) n (b) -0.3 (c) 5\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171423 and 115857?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -0.15529?\nAnswer: -0.34471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 34*v**2 - 769*v - 792. Let h(x) = 6*x**2 - 154*x - 158. Let a(c) = 11*h(c) - 2*z(c). What is y in a(y) = 0?\nAnswer: -77, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -622*q*w**3 - 7*q*w + w**4 - 3*w**2 - 1 wrt w.\nAnswer: -3732*q + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - a + 1 = 0, 2*h + a = -a - 10. Let y = h - 6. Let c(o) = 3*o**2 - 5*o - 9. Is c(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1347 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111100 + 100?\nAnswer: -11111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 5*d + 5. Let p(q) = q**2. Let l(s) = o(s) + 2*p(s). Let i be l(-4). Let g = -1 + i. Solve -2*x + x + 5 = g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaqw when four letters picked without replacement from {y: 2, w: 1, a: 2, z: 1, q: 1, o: 2}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 952 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 151*c**2 + 561*c + 242. Let z be b(154). Solve -z - 24*q**2 - 1056*q - 2\/11*q**3 = 0.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a380 (base 12) to base 13\nAnswer: 2a561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 16 = -5*m, 2*m - 10 - 4 = -5*g. Let h = 67 + -61. Are m and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 130, 129, 120, 97, 54, -15, -116, -255?\n\"Answer: -n**3 + 2*n**2 + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 + m**3 + 11*m - 4*m - 4 - 6*m**2. Let u be v(-7). Let g be (6\/(-9))\/(u\/6). Sort g, -1, 4.\nAnswer: -1, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 + 237547 - 237547. Let y(a) = 5*a + 112. Calculate p(y(d)).\nAnswer: -50*d**2 - 2240*d - 25088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/10)\/(((-117)\/2)\/(-9)). Which is greater: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Suppose 3*d = 2*i, i - 2*d = -0 - v. Does 7 divide ((-3)\/i)\/((-1)\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-8) - (-5)\/(-20). Let v = -2 + 3. Put i, v, 4 in decreasing order.\nAnswer: 4, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, c: 16}. What is prob of picking 2 g?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 2\/3*z**3 - 3*z - 7 + 3\/2*z**2. Determine m(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/8)*a**(-7)\/a)\/((a\/(a**(-2\/5)*a*a))\/a)**(10\/7) assuming a is positive.\nAnswer: a**(-257\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3950*a**3 - 55325*a**2?\nAnswer: 23700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, d: 1, e: 8}. What is prob of picking 1 l and 3 e?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -40 + 3394\nAnswer: 3354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -62195, -62206, -62205, -62186, -62143?\n\"Answer: k**3 - 18*k - 62178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 75 = -i. What is the units digit of i\/10*6\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 - 70 = 5*l + 6*m, -2*m - 16 = 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(((-187)\/(-153))\/(-11))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-3 + 5 + 0). Suppose 4*l - 6*l = -c. Let d be ((-2)\/l)\/((-2)\/2). Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 + 574\/6)\/((-6)\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2. Let x(b) = -b**2 + 60*b. Determine x(l(c)).\nAnswer: -c**4 + 60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0422 take away -62013?\nAnswer: 62012.9578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05 and 6.7.\nAnswer: 6.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/67384 and 17\/10.\nAnswer: 336920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from mxmjxg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**2 - 2*n**2 - 3*n**2 + (3*n**2 + 3*n**2 - n**2)*(-4 + 5 + 1)*(-2 - 2 + 2).\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-16 - (-3 - 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 129203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, s: 3, t: 3, l: 8}. What is prob of sequence tsaa?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 759963 = 5*d, 4*d + 0*k = k + 607976. Let i = d - 103958. Suppose -68963 - i = -3*n. What is n rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5635*c**5 - c**3 - 112*c**2 + 414*c + 9541?\nAnswer: -112700*c**3 - 6*c - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/3501 and 26\/3?\nAnswer: 3501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10691660099 and -5.\nAnswer: 10691660094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwckzin. Give prob of sequence nwc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 16*k**2 + 27*k + 5. Calculate f(12).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - (1 - 2 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -21.2. Let w = -15 - m. Let s = 6 - 1. Which is the third smallest value? (a) s (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hchnh. Give prob of sequence nh.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.948, -0.2, -30 in descending order.\nAnswer: 3.948, -0.2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 993, -4, -13, 2, -3 in decreasing order.\nAnswer: 993, 2, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*l - 3*m, 9 + 5 = 2*l - 3*m. Suppose -141 = -l*o - 53. Calculate the smallest common multiple of 8 and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -148, 1, -0.4, -10\/17?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}