diff --git "a/data/dm_maths/full_data_2/2079_11255.jsonl" "b/data/dm_maths/full_data_2/2079_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2079_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: List the prime factors of 1503964982.\nAnswer: 2, 13, 57844807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - i - 5, 2*i + 15 = -i. Suppose 2*c - 154 = -3*t - d*t, 4*c = 5*t - 220. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-84)\/(-30) + (-2)\/(-10). Let n(u) = 0*u**2 + u + 13*u - 10 - u**2. Let y be n(13). Is y > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.11 + -58.89. Let j = -60.000000336 - k. Round j to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p - 7*p + 73 = 87*f - 85*f, 0 = 2*f + 5*p - 19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j. Let t(c) = 582*c. What is d(t(w))?\nAnswer: 582*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2866131165.\nAnswer: 3, 5, 191075411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14265 divided by -951\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d**2 - 23*d. Calculate a(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 548684605 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.2, 2\/7, -35.12, 3, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/10 and -155\/726?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011111110 - 110011110?\nAnswer: 10101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -1\/2 (b) -3\/13 (c) 3\/36013\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10)*(-273)\/14)\/(9\/60).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4898653 (base 11) to base 15.\nAnswer: b33c1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 - 13 + 13)*(-29*k**2 + 3*k**2 - 9*k**2 + (k + 0*k + k)*(2*k - 3*k + 0*k) + 3*k**2 + 2*k**2 - 6*k**2).\nAnswer: 76*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -23058158 to the nearest 10000.\nAnswer: -23060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*a - 10, -5*i = 3*a - 369410. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0839 + 422.9161. Let u = 423.000197 - m. What is u rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/7 + 106*t**2\/7 + 170*t + 546 = 0 for t.\nAnswer: -39, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217.50078 months to years.\nAnswer: 18.125065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 141852\/7? (a) 6 (b) 0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 (base 10) in base 14?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97379940 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**2 - 5*n - 32. Let k be s(4). Suppose -k*w + 667 + 1265 = 0. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(((-16)\/(-48))\/(3\/(-9)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 1.415, 0.14, 0.2, -3, 1\/4?\nAnswer: 1.415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d + 18. Let b(x) = 86*x - 252*x + 87*x + 90*x - 55. What are the prime factors of b(d)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*w = 71, 3*w - 28 = -4*h + 15. Let c(o) = o**3 - 6*o**2 - 2*o - 11. Calculate the remainder when c(7) is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4591 is divided by 388.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, 52, 0, -5?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -2)*(1 - 612\/8). What is the highest common divisor of h and 19781?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 52*y**4 + 37500*y**3\/7 - 75252*y**2\/7 + 36548*y\/7 + 120 = 0?\nAnswer: -105, -2\/91, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11135 divided by 2227?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2049 is divided by 99.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 14*f + 0*f**2 + 1\/2*f**3 - 1\/3*f**4 - 3. What is n(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14511, -58126, -130845, -232674, -363619?\n\"Answer: -w**3 - 14546*w**2 + 30*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 424*a**2 + 6910*a + 2035. What is s(-16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 9*s**2 - 30*s + 66. Calculate y(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - 6*32\/(-24). Suppose 0 = 5*x + i*y - 7, 0*x + 2*y = x - 4. Put x, -22, -4 in decreasing order.\nAnswer: x, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 9. Suppose -848 = 2*t - 8200. Suppose 4*p = d*p - t. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.35 + -0.05. Let z = 4.5 + -1.5. Which is the closest to -2? (a) z (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 65, 101, 137, 173, 209?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/9 (b) 0.179 (c) -4\/389 (d) 1\/6 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7.421 times -0.301\nAnswer: 2.233721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5463)\/1647 + (-4)\/(-2). Let p = 1\/61 - i. Let d = -0.1 - 0.1. What is the fourth biggest value in p, 0.1, d, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 4 + (-56 - -63) - -12\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -74*g + 2. Let w be c(1). Let l = w + 71. What is the tens digit of (3\/(-2))\/(l*3\/68)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5344*m + 2687*m + 2691*m)*(-m + 0*m - m + (-3 + 3 + m)*(-2 + 0 + 1) + 3 - 2*m - 3 + 0*m - m - m).\nAnswer: -238*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-282)\/(-329))\/((4\/(-112))\/(2\/(-12)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*r + 5*i, 2*i + 0 - 14 = -3*r. Factor r*f**2 + 3*f - f - 2*f - 2.\nAnswer: 2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 109 = -4*l, -5*f - 130 = -0*l - 5*l. Suppose 0 = 51*u - 44*u + l. Let y be 13 - 13 - (u + -2). Solve -y = 7*g - 12*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -361 + 360.97. What is the fourth smallest value in -4, -0.1, p, -8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o = 32*o + 3*h, o = 3*h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 9. Let v(y) = -8*y + 63. Let q(d) = -28*b(d) - 4*v(d). Let t(l) = -2*l + 43. Give t(q(i)).\nAnswer: -8*i + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhddffhfd. Give prob of picking 2 d.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 18*w - 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2131506 years in decades?\nAnswer: 0.02131506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-1)\/((-4)\/3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/8 + 2 + -2 + 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 + (-12 - 5 - (22 - 32))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 19120.\nAnswer: 172080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -786*v = -772*v - 13510. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -31.29.\nAnswer: -31.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.007 - -21. What is w rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2659258675992 - 1432316611768813901\/538615. Let o = s - 4\/9793. What is the common denominator of 37\/55 and o?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 120 + 13*t**2 - 407*t + 357*t + 90 + 8*t**2 - 22*t**2. What is d(-54)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 2 + 3)*(-6)\/(-12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3147.6 + 3202.662. Let u = -0.062 + d. Let g = 52 - u. What is the closest to 1 in 4, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11896 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -425 + -0.11.\nAnswer: -425.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 7*f**2 - 14*f - 7. Let y be x(-6). Let a = -329\/8 + y. Let v = -0.17 - -0.07. What is the closest to v in 1, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**3\/5 - 37*x**2\/5 + 248*x\/5 - 464\/5 = 0.\nAnswer: 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.03997 times 2\nAnswer: -0.07994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 68dd6 - -4?\nAnswer: 68dda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16)\/(-28) - ((-26164)\/14)\/2?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 4*u = 27, 23*u = 8*l + 19*u - 60 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23555.\nAnswer: 5, 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 245 (c) 1309\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274297867 to the nearest integer?\nAnswer: 16562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - p**2 - 4*p + 4. Let b be f(2). Let u = b + 3. Suppose -2*y + 61 = q, 3 - 6 = -u*q. Solve l = 5*m + 30, 2*m = 5*l + m - y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5823 is divided by 1023?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, r: 17}. What is prob of picking 3 r?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from {g: 9, b: 7}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 155 + 443. Let y = -578 + h. Let k(w) = w**3 + 10. What is the lowest common multiple of y and k(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.759568 micrograms to grams.\nAnswer: 0.000001759568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2049 - 1266. List the prime factors of z.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kokokkkkoiokki. What is prob of sequence oki?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98280)\/(-25200))\/((-9)\/60).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 14*n**2.\nAnswer: -n**2*(n + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 48*a = 21*a + 858 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.9 from -18.030664077787.\nAnswer: -17.130664077787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11573 = 103*h + 8679 + 10825 for h.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5\/((-30)\/(-948))*2 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2\/(4\/56*-4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312*q - 309*q + 3*l = 450, 5*l = 5*q - 770. Calculate the lowest common multiple of 40 and q.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72400)\/(-5430))\/(2\/(18\/5)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1159 is divided by 370.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 2. Let l be q(-2). Let i be (-34)\/(-4) + 4\/(-8). Let k be (-45)\/12 - 2\/i. Sort k, 3, l.\nAnswer: k, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 245*w**5\/4 - 28210105*w**4 + 1257340605*w**3\/4 - 1461129435*w**2\/2 - 808285905*w - 186527610 = 0?\nAnswer: -3\/7, 6, 460562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 470637079 - 470637101.0000041. Let w = -38 + 16. Let t = w - v. What is t rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*f + 2691 + 849 = 141*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 2, -135 in decreasing order.\nAnswer: 16, 2, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l = 8. Calculate the remainder when 1\/l - ((-303)\/2 + -1) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 40 = -30. Which is the closest to -18? (a) -0.5 (b) -5 (c) x (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25603.8418 - 25577.5. Let u = -26.641806 + l. Let z = 0.3 + u. Round z to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 14*k - 2755. Suppose 10*g - k = 9*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 7 = z, -26 = 22*u - 18*u - 2*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -789*h**2 + 789*h**2 - 20109*h**3.\nAnswer: -20109*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1201 + -0.0201. Let k = 0.0033 + -0.1033. Which is the closest to m? (a) 37 (b) -1\/3 (c) 0.4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34413?\nAnswer: 3, 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132 + 139. Calculate the remainder when 12 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173884 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1828 = 89*o - 87*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 7*o**2 + o + 13. Let c = 513 + -506. Let a be z(c). Solve -4*m = 5*y - a, 3*m - y = -m - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 1. Let d(n) = -10*n**2 - 4*n + 1. Let h(y) = -d(y) - 2*w(y). Is h(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**2 + 0*c**2 + 3*c**2)*(-3239 - 5860 - 11528) to q*c**2 + o + z*c and give q.\nAnswer: -41254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) 12 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 228320 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-6\/7))**(-8))**(-29))**27 assuming x is positive.\nAnswer: x**(-37584\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6 - 2 - 2)*(-7*h + 0*h - 6*h) + (2*h + 0*h + h)*(3 - 5 + 0))*(3 - 1 - 3)*(4*h**2 - 4*h**2 - 3*h**2) to a*h**3 + z*h + v + l*h**2 and give a.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.008578.\nAnswer: 0.034312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.087957 - -0.08414. Let q = 12 + -11.996. Let w = q + r. Round w to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**3\/3 + n - 1011. Let d(o) = -9*o**2 - 3. Suppose a - 6*a = -60. Suppose 7*p - 3*p = a. What is p*m(u) + d(u)?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1537, -1593, -1647, -1699?\nAnswer: -1749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -1999*g + 16122. Determine t(8).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*c**2*t*z**2 + 9*c**2*t - 18*c*t**3*z**2 + 111*c*t**2*z - c*z**2 - 2*t**3 wrt z?\nAnswer: 122*c**2*t - 36*c*t**3 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2 + 416013006*l - 43266705290289009 = 0 for l.\nAnswer: 208006503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (-68 - (0 - 31))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 11862767 - 3222767. What is i rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 242 + 46 = 0. Let o be 20\/6*(-36)\/10. Let s = o - v. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -155.66 to 1 decimal place.\nAnswer: -155.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 604 divide 216836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*x - 294 = d, -2*d = x - 199. Suppose 0 = -3*g - 2*k + d, -3*g - 34 = -4*g - k. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.11755747 and -9754?\nAnswer: 9753.88244253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342 and 6324435.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.94 + 0.06. Let d = w + -35. Put d, 0, 4 in ascending order.\nAnswer: d, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + 27 + -11 + -12 - ((-2 - -3) + 4).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlcwkcwwkc. Give prob of sequence kwl.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6064 = -11*v + 1361. Suppose 33 + v = 12*p. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w + 46904 = 46568. Which is the closest to 0.1? (a) -0.3 (b) w (c) -17\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*5\/(-25)*(-5)\/(-15).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 8*y**2 - 20*y + 8. Give s(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -1.6 (c) 141 (d) -27\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*l + 34, -5*l = -5*t + t - 35. Let x be -75 + 377 + (5 - -1). What is the greatest common factor of x and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*z - 105. Let o be 9\/6 - 1 - z\/6. Suppose o*a - 4*g - g = 2785, 0 = 3*a - 4*g - 2089. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6369, 8724, 12635, 18090, 25077, 33584, 43599, 55110?\n\"Answer: -2*g**3 + 790*g**2 - g + 5582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1*n)**(-8\/5))**(-4\/29) assuming n is positive.\nAnswer: n**(64\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 197, 296?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k - 233. Let w be q(0). Let u = 421 + w. List the prime factors of u.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7*((-3)\/(-14))\/(15\/50). Let o be (-4 - (340\/(-12))\/a)*3. Suppose -o*z + 6*z + 45 = -r, -5*z - 84 = 2*r. Which is greater: -45 or r?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/13 + 2*580\/(-130) + (-498)\/(-42)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0202 times -0.1?\nAnswer: -0.00202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y - 7*y + 5*y + 10*y + 5 as z + f*y and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38 + u**2 + 8*u + 37 - 2*u**2 + 3*u**3 wrt u?\nAnswer: 18*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z - 10*z)*((0 + 0 + 1)*(-1 + 1 - 1) + (-147 + 54 + 67)*(-1 - 1 - 1)*(1 - 1 + 1)).\nAnswer: -770*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (5*7\/140)\/(2\/(-2))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**5\/60 - 2*l**4\/3 - 3*l**3\/2 + 2*l**2 + 42*l. What is the tens digit of a(30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 15*s + 10. Let a be r(16). Let g(h) = -h**2 + 6. What is g(a)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151340537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/21517276 and -57\/37655233?\nAnswer: 150620932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4867 and 471.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*a - 3*w, 2*w = 4*a - 3*w + 44. Let n = -9 - a. Suppose o = -x + 35, 14 = -4*o + n*x + 166. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-164573808\nAnswer: -49372142.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17893745401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-20 - -11 - -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + b - 3)*(-b - 2*b - 5*b) - 5*b**2 + 2*b**2 - 3*b**2 + (0*b + b - 3*b)*(b + 0*b - 3*b) to o*b + l + w*b**2 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -9, 2, 1 in descending order.\nAnswer: 2, 1, -9, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 10. Let q be i(7). Let v = q - 1. Let s be 4\/6 + 16\/v. What is the highest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -1. Let j = -0.045 + -20.955. Let d = 19 + j. Which is the smallest value? (a) m (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, 1 in descending order.\nAnswer: 9, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-3))\/(1\/(-9)). Let b be v\/(-15) - 166\/120. Let x = -5\/4 - b. Is 2 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31573.\nAnswer: 31573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-32)\/64)\/(1\/2)*-1851.\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47265 and 1012432055?\nAnswer: 15755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a microsecond in nanoseconds?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-4) + -1)\/(6 + -8)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869 is divided by 215.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 9. Let o be n(5). Let t be (o\/(-1))\/(-10 + 6). Let j = 4.15 + -44.15. Is t < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/3 (b) -14 (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -11 + (-11946)\/(-905). Suppose 9\/5*n + 3\/5*n**2 + x = 0. Calculate n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 486.\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 2*x + 48. Let j(u) = 5*u**2 + 7*u + 142. Let w(m) = 3*j(m) - 8*z(m). What is the first derivative of w(o) wrt o?\nAnswer: -2*o + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3458 - 3465. What is the third biggest value in d, -2\/7, -0.13, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 1 + -4*27\/36\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**4\/6 + 13*c**3\/2 - 183*c**2 + 3*c. What is f(12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 2*k**2 + 3*k + 2. Let s be y(-1). Suppose 2\/7*a**s - 2\/7*a**4 - 2\/7*a**3 + 2\/7*a**5 + 0*a + 0 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 + 198*f**3 - 1252*f**2 - 3312*f.\nAnswer: -2*f*(f - 92)*(f - 9)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -26. Suppose p = 3*m - 13 - 9, -f = -2*m + 3*p. What is the highest common factor of m and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p + 25*p - 24 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**4\/12 - 5*a**3\/3 - 4*a**2 + 2*a. Let m be z(-10). List the prime factors of 12\/m*(-8 + -2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 4:31 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -2*n, 6051*t = -4*n + 6050*t - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 + 69. Suppose -3*f + 6 = z, 80 = 4*i + 2*f + 2*f. Calculate the remainder when i is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6364 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2691*1\nAnswer: 2691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35250195*v**6 + 2481208*v**2 wrt v?\nAnswer: -4230023400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6222.666 and -0.1029935.\nAnswer: 6222.5630065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*j - 3*v - 133, 4*v = -4*j + 168. What is the remainder when 109 is divided by j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.29563 rounded to 2 dps?\nAnswer: -24.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 156518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-7)*(63\/14)\/9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 30 - 7*y - 4*y + 7*y. Let r be c(-4). Let x = r + -43. Calculate the lowest common multiple of 27 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.2 (c) -1\/3 (d) 5 (e) 18363719\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -0.5, -2, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 - 53. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**4 + 462*k**3 + 93*k**2 - 3*k - 4 wrt k?\nAnswer: -24*k + 2772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-10)\/5 - -15899. What is i rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 31. Suppose p - h = -2*b - 2*b, -4*b + 18 = -p. Suppose -5*s = -j - 3*j + 29, j + 2*s - b = 0. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 362 - 135?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = 1. Let c be (-2 + s)*(-4)\/6. Suppose 5*j = 4*d - 60, d - c*j + j = 14. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295512 - 295579 - 5*u + 591091.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1036385 is divided by 1036350.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 2*o + 4. Suppose 3*p = -3*p - 12. Let c be (-1)\/((-2)\/(8 + p)). Give u(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*(-24)\/(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 1366 - 1384. Let o(q) = 5*q - 2. Let d(n) = 22*n - 9. Let j(z) = i*o(z) - 2*d(z). Let k(u) = 189*u. What is k(j(s))?\nAnswer: 189*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, l: 6, x: 1, y: 1}. Give prob of picking 1 y and 2 l.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.6837905 microseconds in days?\nAnswer: 0.00000000029726609375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5239618213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-12))\/(1\/14). Let c(z) = -4 - 572*z + 214*z + 361*z. Let a(r) = -9*r + 16. Let g(d) = -9*d + 17. Let m(t) = -4*a(t) + 3*g(t). Give y*c(h) + 2*m(h).\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -51*x + 3\/2*x**2 + 420 = 0. What is x?\nAnswer: 14, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, k: 2}. Give prob of sequence kff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 2, -16, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1\/11, -6, -1\/6, -0.4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10.3 * 0.058\nAnswer: 0.5974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 146740*z**4 - 40588 wrt z?\nAnswer: 586960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - j + 1 = 0, 5*o + 3*j - 55 = -53 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/3)*y)**(1\/2)\/(y**(-3))**(-43) assuming y is positive.\nAnswer: y**(-383\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 1. Let b(g) = -21*g + 18. Let l(m) = -b(m) - 18*u(m). Let t(n) = n + 0 + 0. What is t(l(p))?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38*(5 + 3 - 4). Let c = 281 - p. Let v = c + -395\/3. Is v bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6909 and 108993.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8856109?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5, 19, -0.14, 0 in increasing order.\nAnswer: -0.4, -0.14, 0, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 535307 and 68499?\nAnswer: 2537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Let r = -7 + 4. Let s be (0 - 1)\/((-685)\/(-411)). What is the nearest to z in s, 2\/7, r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6606 and 80946?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (-3 - -9) + -7. Put -3\/2, 1\/5, 1\/32, l in increasing order.\nAnswer: l, -3\/2, 1\/32, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -225\/21986 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/(-5*366\/(-244)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 653.45 and -0.38.\nAnswer: 653.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 333435000 rounded to the nearest one million?\nAnswer: 333000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*g - 6. Let q be 4145\/2514*(-12)\/45. Let l = q + -2\/419. Which is the third biggest value? (a) g (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1260, -2525, -3790?\n\"Answer: -1265*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 8:40 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7545, -7384, -7133, -6798, -6385, -5900, -5349?\n\"Answer: -x**3 + 51*x**2 + 15*x - 7610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y**3 - 3*y**2 + 2*y - 1. Calculate g(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -2)\/((-15)\/10). Let x be ((-1)\/j)\/(1\/2). Let r(k) = k**3 + x - k**2 - 2 - 8. Calculate r(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 111.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 171?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18 - 127)*1\/(-5). Suppose 135 = w*p - 39. Calculate the highest common divisor of 96 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22643\/3 + -7472. Let d = p - 75. Let k = -77 - -78. What is the second smallest value in k, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69288129 * 3.\nAnswer: -207864387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -250\/3 + 84. What is the nearest to 1 in c, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + h + 2*h**4 + (2 + 3*h**2 - 2)*(2*h**2 + 2*h**2 - 3*h**2) + 2*h**4 - 2*h**4 + h**4.\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + -0.16. Let z = t - 0.9. What is the third smallest value in 2, z, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -250 - -253. Let x = 12.3 - -3.7. Let g = 236.1 - 236. Which is the third smallest value? (a) g (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 107*t + 4*y - 251 - 26, -4*y = 44 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 88 - 32. Let r(y) = -2*y**2 + 17*y - 3. Suppose -f = 4*x - 47 + 4, 56 = 5*x + 2*f. What is the remainder when r(p) is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**5\/20 - x**4\/8 - 9. Factor q(h).\nAnswer: -h**3*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 422 = -x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -567.61 + 0.597?\nAnswer: -567.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7835258*u**2 - 7835258*u**2 + 2*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 1\/18*q**6 + 1\/3*q**4 - 5\/6*q**2 + 3 - 2\/9*q**3 + 4\/15*q**5 - 2\/3*q. Factor y(j).\nAnswer: (j - 1)*(j + 1)**3*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -158 and 0.01 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*u**3 - 89*u**3 - 483*u + 490*u.\nAnswer: -5*u**3 + 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -6, -5, -186\/13, 0.3, -8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/8 + ((-1078)\/41503 - 55578\/616)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 59*f**2 + 440*f - 3953. Let c be n(52). Let k = 3 - -1. Let x(y) = -4 + 6 - 1 + k*y**3 + 2*y. Determine x(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p = -6884357 - 2493228 + 2271666. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 1\/4 (c) -3\/8 (d) -55 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3*y\/(y*y**10\/y))\/(y**(2\/3)\/y**(1\/9)) assuming y is positive.\nAnswer: y**(-59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*u - 572 + 598 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2. Let w(n) = n**2 + 3*n + 2. Let d(g) = -409*g**2 + g + 408*g**2 + 0*g. Give f*w(y) - 2*d(y).\nAnswer: 3*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(8\/5)))\/y**(-13\/5)*((y\/(y**(-4)*y))\/y)**(-2\/3) assuming y is positive.\nAnswer: y**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-1 + sqrt(275) + 1)*2 - ((-1 + sqrt(275))*1 + 4)) + -1)**2.\nAnswer: -80*sqrt(11) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*q - 7*n + 2*n - 72, -5*q - 26 = 5*n + 49 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = 2*k + 60. Let o be 2 + k - (-1 - -1). Let j = 0 - -0.1. What is the nearest to j in -2, o, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 519 + 2316 = 27*d. Calculate the remainder when (-661)\/(-7) - (-10 - (-1095)\/d) is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.06 + -172.06. Let h = m - -166. Which is the nearest to h? (a) -2 (b) -12 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18.13 + -18.23. What is the second biggest value in n, -2.5, -1, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a769 + -14?\nAnswer: a755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 17*c - 17*c + 853*c**3 + c**2.\nAnswer: 853*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-4*i**5 + i**5 + 5*i**5) + (2*i**4 - 2*i**4 + 2*i**4)*(-2 + 2 + i) - 80*i**5 + 140*i - 140*i - 2*i**5 + 3*i**2 - 3*i**2.\nAnswer: -82*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3367, -13544, -30513, -54274, -84827?\n\"Answer: -3396*j**2 + 11*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18 - (-28 - -14 - -13). Suppose 5*m = 18 + 72. Which is greater: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -308, -595, -862, -1103, -1312, -1483?\nAnswer: -1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpu when three letters picked without replacement from {p: 2, q: 5, u: 2}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198 - 884 - 5483*j**2 - 8771*j**2.\nAnswer: -14254*j**2 - 1082","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 188285019*i**3 - 152049743*i**2 wrt i.\nAnswer: 1129710114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**6)*y**15\/y)\/(y**4\/y**(-1\/13)) assuming y is positive.\nAnswer: y**(51\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3553?\nAnswer: 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5877.4 - -5877. Let i = -0.19 - -0.09. What is the closest to -0.2 in x, -0.2, i, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -451481*q**2 + 4*q**3 + 451481*q**2.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 + (-2)\/(3\/3) is divided by (-164)\/(-10) + (-18)\/(-30)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/45*6\/8.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -242, -492, -836, -1274, -1806, -2432?\nAnswer: -3152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113433*t**3 + 56729*t**3 + 56732*t**3.\nAnswer: 28*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-14)*(-9548)\/(-372).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**4 + 37*n**3 - 85*n**2 + 1.\nAnswer: -24*n + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 100 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1\/6, -1\/2, 0.1, 40, 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1762 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 4786800 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 2352*y**2 + 481431*y - 7921206.\nAnswer: 3*(y - 383)**2*(y - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/204?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110010001110 (base 2) to base 8.\nAnswer: -16216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -9. What is the first derivative of c**l - 12 + 10*c**3 - c**3 wrt c?\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.77 and -649.22?\nAnswer: 1149.1194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) 0.17 (b) -2 (c) -2\/3 (d) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 9*s**2 - 10*s + 7. Let q be l(-10). Let t be -1 - (-6)\/(6\/q). What is the highest common factor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, -1, -4, 4, 3 in descending order.\nAnswer: 4, 3, -1, -4, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -494 - -737. Let w = 42 + d. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33395683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -14525054?\nAnswer: 1\/7262527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 9.6?\nAnswer: -38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1360*n + 1365*n = 135. Let x(v) = 35*v + 91. What is the hundreds digit of x(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3\/13 - 724*r**2\/13 + 1494*r - 35964\/13 = 0.\nAnswer: 2, 27, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**2 - 3*u + 3. Let l(t) = -6*t**2 + 4*t - 4. Let k(g) = -g + 1. Let a be k(5). Let f(p) = a*s(p) - 3*l(p). Let h(y) = -34*y**2. Calculate h(f(r)).\nAnswer: -136*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/34048 and -121\/28032?\nAnswer: 7456512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -509*d**4 + 98724*d**2 - 959104654?\nAnswer: -2036*d**3 + 197448*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**3 - 2*t + 5*t**4 - 1 - 4*t**2 + 2*t**4 + 3*t**3 as r*t**4 + c*t + n*t**2 + m*t**3 + j and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -707 + 727. What is the remainder when q is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -554*c + 2773. Calculate the remainder when 3942 is divided by u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 133, 80 in decreasing order.\nAnswer: 133, 80, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*g + 19*g**2 - 52*g + 3 - 20*g**2 + 117*g + 7*g**4 as j*g**3 + v*g**2 + c*g**4 + p*g + u and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 13*g - 9. Let h be q(-12). Let d(z) = -6*z + 3. Let m be d(0). Suppose 25 = m*i - h*j + 4*j, 2*i - j - 25 = 0. Which is bigger: -2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002257 to four decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -48 + 28 + -10 + -2 + -9?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 27. Let r = p - -31.9. Let u = r - 4. Which is the closest to 1? (a) -2\/9 (b) 1\/6 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*(sqrt(1331) - (sqrt(1331) + sqrt(1331) + 4 + -5)))**2.\nAnswer: -28512*sqrt(11) + 1726272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*r + 351, -224 = -0*r + 2*r + 2*d. Let y = 114 + r. Sort 4, -6, y, 2 in decreasing order.\nAnswer: 4, 2, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(3) + -2 + 1.\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011101100011011100 (base 2) to base 12.\nAnswer: 5906a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1426\/(-345))\/31 + (-44)\/(-105). Suppose -2\/7*i**3 + t*i - 2\/7*i**2 + 2\/7 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -10*k**2 - 390*k + 29. Calculate g(-38).\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73\/96 - -1\/96. Let i = 1530 - 1522. Sort i, x, -1, 1\/6 in ascending order.\nAnswer: -1, x, 1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(4 - 6\/(-6)). Solve -2*l + b*l = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114823, -116065, -117311, -118561, -119815?\nAnswer: -121073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 260129516 + 1\nAnswer: 260129517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 1 + -20)\/(-2). Calculate the greatest common divisor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**2 - 6 + 0*f**3 - 3\/8*f**4 + 0*f + 1\/10*f**5. Suppose n(q) = 0. What is q?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31620 and 8415?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*b - b. Let m be (-1)\/(-3) - (-1)\/b. Suppose 4*f = -4 + 16. Solve f*z = -m*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6404547 rounded to the nearest one thousand?\nAnswer: -6405000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 4*s - 6 + 0*s. Let p be b(6). Let n be (-769)\/(-6) - (-4)\/p. What is the highest common factor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3841*k - 3794*k - 423 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -1\/8 (c) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -336500 to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h + 0*h + 4*h**4 + 6*h**4 - 4*h**4 wrt h.\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 4) to base 5.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -69 smaller than 12611.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 987.\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 46881, 46874, 46845, 46782, 46673, 46506?\n\"Answer: -2*a**3 + a**2 + 4*a + 46878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - -5*sqrt(204)*-4)\/((sqrt(108)*-4)\/sqrt(9)) + (sqrt(85) + -2*sqrt(85)*4)\/(sqrt(500)*-2).\nAnswer: 51*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010641 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4480 divide 907917478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 642 (base 10) to base 16\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 379 and 5.66.\nAnswer: 2145.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896496.\nAnswer: 2, 3, 19, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2177104 is divided by 1088545?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37\/8422255 - 35415061019\/118652728440. Let h be ((-22)\/(-44))\/((-587)\/8). Let k = j - h. Is k > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6686293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 103096.\nAnswer: 25\/103096","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (104\/(-39))\/(2\/(-183)). Let q = 414 - b. Suppose 0 = -5*p + 10, -4*c - 5*p = -62 - 84. What is the greatest common divisor of q and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l - 10. Let r = 490 + -495. Calculate d(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14297057 is divided by 174.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172840\/1192*2\/(-5).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -7. Suppose 4*r = -4*x + 12, 5*r - 6*x + 2*x + 12 = 0. Which is the closest to r? (a) 3 (b) h (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(500))*6 - (sqrt(500)*-1 - sqrt(500))*5) + -4.\nAnswer: 2 + 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -85*o**4\/24 + 5*o**3\/2 + 53*o**2 + 2*o. Differentiate h(r) with respect to r.\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 - (0\/(-3) + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 - n**2 - 4*n**3 - 3*n**2 + 155*n + 8 + 3*n**2 - 180*n to the form o*n**3 + v*n**2 + g*n + y and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**4*u - m**3*u - 37*m**2*u + m*u + 25*m - 2*u - 3 wrt m?\nAnswer: 36*m**2*u - 6*m*u - 74*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 389369.9 centuries to millennia.\nAnswer: 38936.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*i - 64610 = 168*i - 12453283. List the prime factors of i.\nAnswer: 61, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 + 28*d - 29. Determine k(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97 + 62. Let o = -35.0000072 - y. What is o rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 1332?\nAnswer: -2664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 145648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 978273 and 978273 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k = -4*i + 23*k + 388272, -4*k - 194162 = -2*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -51. Suppose 30 = 3*o - n + m*n, -o - 2*n + 8 = 0. Solve -j - 2*j + o = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 - 77 = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23663 is divided by 116?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197757975 to the nearest integer?\nAnswer: 14063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 6, -8, 0.66, 0.2 in descending order.\nAnswer: 6, 0.66, 0.2, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(114) - (1*sqrt(114) - sqrt(114))) - sqrt(114))\/sqrt(6).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 8:11 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1245397*r + 1183751.\nAnswer: -1245397","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f. Let a(k) = -k + 10. Let c be a(7). Let m = 6 - c. Let l(n) = -6 + 6 - m*n. Give u(l(z)).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10757544 is divided by 2568?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7557*k + 7550*k - 30292*k + 7637*k + 7551*k - 4.\nAnswer: 3*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 218 + -215.82. What is k rounded to one decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.185? (a) 4 (b) -0.3 (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/222330 and 131\/34683480?\nAnswer: 34683480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = -3*r + 397. What are the prime factors of (-4488)\/r*(0 + -3)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 4\/611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 40 + 8. Let y = 35 + p. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 143753527?\nAnswer: 143753526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1910 smaller than -0.17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1131312 + 1300?\nAnswer: -1130012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1)*(-25)\/(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (387\/12)\/(-3) + 585\/65?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*z - 3. Let x(t) = -11 + 6 + 18 + t**2 + t**z. Calculate the remainder when x(0) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 2*o + 2. Let d(k) = 3*k**2 + 5*k - 5. Let m(u) = -5*u - 198. Let v be m(-40). What is v*d(z) + 5*y(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 38*o + 1. Let d(q) = 2*q. Give l(d(n)).\nAnswer: 76*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21645834, 43291680, 64937526, 86583372, 108229218, 129875064?\n\"Answer: 21645846*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-12)\/((-15)\/(-5)). Let n(f) = -4*f**3 + 2*f - 4. Let x(d) = 9*d**3 - 5*d + 9. Give a*n(i) + 3*x(i).\nAnswer: -i**3 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + sqrt(75) + sqrt(75) + (sqrt(75) - sqrt(75)*-1)))**2.\nAnswer: -2000*sqrt(3) + 30100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-2*(-2)\/12). Let x be (-12)\/j + 278\/10. What is the greatest common factor of 42 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.5 (b) -16 (c) 55 (d) -2 (e) -1\/4 (f) -7\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 9 = -3*b + 4*b, -2*g - 4*b = 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -334 + 217. Let m = d - -241. What is the remainder when m is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*z**3 - 30*z**3 + 48*z**3 - 25*z**3 - 24*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_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: Which is smaller: -0.0351 or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w + 3*w + 3*w. Let u be v(-2). Which is the nearest to u? (a) -0.2 (b) -2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(1008))*2 + -6*sqrt(252)*1 + 2.\nAnswer: -12*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1175709.79 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15072628?\nAnswer: 2, 157, 24001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/42 and (426\/8)\/((-819)\/6)?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22025 + 22115. Suppose 2*o + 3*o + 30 = 0. Let c = o + k. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 17. Which is bigger: g or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-110)\/(-33) - (-1)\/(-3). Suppose 39*y - v = 38*y. Suppose o - 25 = -2*o + 2*q, 0 = -o - 2*q + 19. What is the lowest common multiple of o and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*x - 53*x + 157*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/4 + 11676*j - 420093\/4.\nAnswer: -3*(j - 15559)*(j - 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 248, 246, 244, 242, 240?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - z + 1. Let y be 2\/((-96)\/(-44) + -2). Let v(h) = -2*h - 1 - 8*h**2 + 11*h + 3 - y. What is -18*o(k) - 2*v(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24448?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250 and 1606500.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 4*x - 159 + 63, -19*x - 3*s + 482 = 0 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - x - 0*x - 44, -2*x = f - 2. Suppose -f*s + 22 = -8*s. Calculate the highest common divisor of 121 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(297\/(-12))*(5\/(-45))\/(35\/(-630)).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 23676.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/596 and 3\/10.\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*i + 69 = 0, -5*i - 62 = 5*m - 152. Suppose b = 2*f + 2*b + 10, -f - m = 3*b. Let l be f\/4 + 5\/10. Which is bigger: -4\/7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggiffggyfiyoii. Give prob of sequence ggg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i - 16222 = -70444. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5266 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 610*(-24)\/(-80)*12. What is the greatest common factor of 36 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790 a factor of 1507928311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 + 25*i - 18. Let j be x(-9). Do -2\/45789 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x = 9*x + 8*x, -6*i + 8*i - 4*x + 164 = 6*i for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 8:58 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135 - 111. Suppose -24 = -5*o - y. Solve 0 = -o*a - 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87854596, 87854599, 87854602, 87854605, 87854608?\nAnswer: 87854611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.511 + 15.511. Put 3, j, 9, -72 in decreasing order.\nAnswer: 9, 3, j, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 1 + 1 - 310*y + 308*y. Suppose -3*r + 4 = z + 18, 0 = -3*r + 5*z - 20. What are the prime factors of a(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9847*u**3 - 13*u**2 + 47*u + 4. Is d(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -172 - -0.584.\nAnswer: -171.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from fmffrfr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -31120 divided by -2\nAnswer: 15560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -786 and -7.\nAnswer: 5502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -0.6. Let w = c + -0.3. Let i = w + -0.3. Which is smaller: -3\/4 or i?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**5\/30 + 83*t**4\/36 - 6*t**3 + 26*t**2. Determine u so that k(u) = 0.\nAnswer: 2\/3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 less than -0.1632258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1626)\/24 - 1\/4. Let p = 179 + n. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 1:36 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 62 + (-5)\/(-10)*8. Let o = 10 + s. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -239067746 by -667787.\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k - 2. Let f be d(-3). Suppose -f*q - 9 + 49 = 0. Suppose -s = 4*s + q. Put 2, s, -5 in increasing order.\nAnswer: -5, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 3*o**2 - 218 + 733 - 533.\nAnswer: -3*o**2 + 2*o - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1285 divided by 97?\nAnswer: -1285\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + k + 38. Let g be f(8). What are the prime factors of 3\/g + (7 - (-19564)\/24)?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, r: 3, d: 4, b: 1, w: 1, x: 2}. Give prob of sequence rrrp.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 13.36, -75\/7, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -859*h**2 - 8*h - 16. Let l(u) = -2028958*u**2 - 18898*u - 37796. Give 4*l(k) - 9449*s(k).\nAnswer: 859*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224 (base 8) to base 15.\nAnswer: 9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8072955085 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/144081 > 8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - 2*x + 2*x)*(2 - x**2 - 2) + 7 - 86*x**2 + x**4 + 86*x**2 - 20019*x**2 + 20019*x**2 + 98*x**4.\nAnswer: 101*x**4 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40844, 40847, 40850, 40853?\n\"Answer: 3*x + 40841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*h + 4*x, -2*x - 6 + 28 = 3*h. What is the hundreds digit of -1 + 908 + 5 + h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, -1722, -96 in descending order.\nAnswer: 12, -2, -96, -1722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12435*i**3 - 6209*i**3 - 6203*i**3.\nAnswer: 23*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 + 3*g - 3. Let r(j) = 0 + 2 + 2*j + 3 - 6*j**2 - 7*j. Calculate 5*c(p) + 3*r(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, 0.5, -2, 1.4 in descending order.\nAnswer: 2, 1.4, 0.5, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15937953?\nAnswer: 3, 5312651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*r + 62 = -4*y, 6*r - 65 = 16*r + 3*y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5*k + 68 - 18 = 0, 2*k + 10 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2126 + -2124.9. Is -0.06 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - h + 0*h + 11 = 0, 0 = -5*x - 5*h - 5. Suppose -2*u + 14 = 4*m, 3*u + 4 = x*m - 2. Let t = 24 + -23. Solve g - m = -t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253170 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t - 5*b = 4, -3*t - 4*b = 28. Let a be 66\/(-15) + t\/(-10). Let j(f) = -3*f - 3. Let m(x) = -3*x - 4. Determine a*j(r) + 3*m(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1058350.3 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 48202030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1440 and 2350368?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 25. Let d be 3098\/(-10) + 4\/5. Let h = -189 - d. Calculate the greatest common divisor of s and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27169537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*u - 122943, 13*p - 2 = 12*p. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - 99*j**3 + j + 67 + 16 + 17 + 8 - 108.\nAnswer: -99*j**3 - j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2202 - 2202. Sort i, -173, 2\/15, 5\/2 in ascending order.\nAnswer: -173, i, 2\/15, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -0*s - 5*s. Suppose -s = -6*c + 3*c. Calculate the highest common divisor of 165 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4851974038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -14. Suppose -d - 11 = -3*u, 3*d + u = 11 + i. Suppose -3*x - 3*m + d*m + 54 = 0, m = -4*x + 72. What is the least common multiple of x and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2 + 23. Let q = z + 73. Is q a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(2 + 22\/4). Let y = b + 27. Calculate the smallest common multiple of y and (-3)\/(-1) - (-2)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64\/21293 or -1?\nAnswer: -64\/21293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 1. Let h be w(-4). Suppose 4*l = 3*b + 27, 0 = h*l + l + b - 7. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 2860?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 3*u**2 + 6*u - 6. What is k(4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234310 (base 5) to base 15.\nAnswer: -28a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 4 (b) 0.1 (c) -4 (d) -1093\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -1a0?\nAnswer: -19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**7\/840 - u**6\/360 + u**5\/120 + u**4\/6 - u**3 - 5*u**2 - 33. Let f(i) be the third derivative of l(i). Determine f(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/231 and -10\/77.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 3*x. Let v be h(-2). Let y be (-148)\/(-18) + (-4)\/18. Let d = y - v. What is the greatest common factor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -1 (b) -1\/3 (c) -69.0967\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 - 4 = 0, 3*i - 2 = y. Suppose i = -f - 3*f + 112. Suppose 0 = -17*s - 92 + 568. Calculate the greatest common factor of s and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -0.01 (c) -1\/3 (d) -0.4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 - 456\/(-28). Let r be a - (-3 - -5)\/(-2). Suppose -36 = -18*g + 12*g. Solve u - 13 = -5*d, r = 5*u - 2*d + g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 5652710891.\nAnswer: 5652710896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5399.1237 and 4?\nAnswer: 5395.1237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -78 - -88) + -14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4485416*f**3 + 47496*f**2 + 52 wrt f?\nAnswer: 26912496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3*t - 133*j**3 + 34*j**2*t - j**2 - 6*j*t - j + 237877*t wrt j?\nAnswer: -6*j*t - 798*j + 68*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 918\/5 - 182. Let w = -24\/29 - -236\/145. Factor 0*f**3 + 4\/5 + w*f**4 + 0*f - k*f**2.\nAnswer: 4*(f - 1)**2*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**4\/7 - 44*z**3\/7 + 174*z**2\/7 - 52*z\/7 - 272\/7 = 0.\nAnswer: -1, 2, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**3 - 302*d**2 - 4*d - 44791.\nAnswer: 6*d**2 - 604*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 24 + 2 - -3. Suppose -4*w + 6*x - x = -40, -2*x = -4*w + s. Suppose 10 - 90 = -w*m. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 18*u = 1260. Does 72 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 15*p - 17. Let q be f(12). Let x = q + -20. What is the closest to -0.1 in x, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26416 > -26415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4562, 2\/3, 2\/5?\nAnswer: 0.4562","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*f + 22*f + 52 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 0 - d**2 - 3*d**2 + 3*d**2 - 4 - 19*d. Let w be y(-19). Let f(j) = j**3 + 3*j**2 - 6*j - 2. Give f(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1065\/4 or -265?\nAnswer: -1065\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1274*i - 1653. What is the thousands digit of l(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 11 = 2*q - 7, -3*m + 19 = -4*q. Find the second derivative of -s**4 - 6*s - 8*s**4 + 11*s + m*s wrt s.\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 4, 0.02, -2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -77 + 56*j + 18*j + 3*j**2 + 14*j - 4*j**2 - 10*j = 0?\nAnswer: 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58072430 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 1143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -386*k - 36662. What is m(-95)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -0.2, -19.7353, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 13*z**2 + 5*z - 3. Let p = 177 - 176. Let h(r) = r**2 - r. Let y(l) = p*o(l) - 3*h(l). Give y(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 14, -1 in decreasing order.\nAnswer: 14, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -9 in ascending order.\nAnswer: -9, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1347.\nAnswer: -5\/1347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 48211565.90608 and 27.3.\nAnswer: 48211593.20608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + 60. Suppose 225 = 6*i - q. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 28728192*s\/5 + 28728194\/5.\nAnswer: -2*(s - 14364097)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14 * 4.2\nAnswer: 58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 170483 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*p - 3*k - 72, 5*p = 4*k + 91. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*x - 118*x = -s + 3, 3*s + x = 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-1))\/((-2)\/(-6)*6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 14*n**6\/45 + 34*n**5\/3 + 352*n**4\/3 + 64*n**3 - 94*n. Factor x(q).\nAnswer: 4*q*(q + 12)**2*(7*q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*d - d + 184 = 0, 0 = -3*y - 4*d + 172. Suppose 3*r + j + 36 = 0, 11*j = -5*r + 9*j - y. Let u = r + 16. Solve -f = -u*f - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20200 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -26*c**2 + 2 + 17*c + 12*c**2 + 4 + 13*c**2. What is a(16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.27 (b) 306 (c) -2 (d) -0.5 (e) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/322 and 81\/1610.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let a(r) be the second derivative of 35\/3*r**3 + 0*r**2 + 11 - 3*r. Calculate a(t(d)).\nAnswer: 70*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 10*i**2 - 27*i + 6. Let h(j) = -8*j**2 + 18*j - 4. Let q(c) = 8*h(c) + 5*p(c). Let x(r) = 7*r**2 - 4*r + 1. Determine -4*q(o) - 9*x(o).\nAnswer: -7*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/310750 and 18\/1087625?\nAnswer: 2175250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 119935102 a multiple of 816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, u: 3, k: 6, b: 3}. What is prob of sequence kb?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047 times -5?\nAnswer: 0.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -561*b - 309*b + 79808 = 377*b for b.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1816 + 1874. What is the remainder when y is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.7 or -47035?\nAnswer: -47035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9306663 divided by -2\nAnswer: 9306663\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011101 (base 2) in base 10?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -8. Suppose 5*h + l = -0. Let q(j) be the first derivative of -5*j**3\/3 - j**2 - j - 185. Calculate q(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/8)\/((315\/20)\/21).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1694 and 2996.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5739507?\nAnswer: 3, 637723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/2 + (-48)\/32 + 6. Suppose g + 3*g = 256. Calculate the highest common divisor of g and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 469 + 2833?\nAnswer: 2c9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*b + 239*b + 326*b + 219*b.\nAnswer: 951*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 87927923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -33131200 (base 4) to base 12\nAnswer: -30794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 10:03 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9*n + 43. What is c(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 11:44 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/(-24) + 0)*-4. Solve 3*x - 2*x + 5*w + 6 = 0, 5*x + c*w = -8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**6 + 64*b**5 - 231*b**3 - b**2 - 8922 wrt b.\nAnswer: -240*b**3 + 3840*b**2 - 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + z + 95. Let k(q) = -23049*q - 23050*q + 46100*q. Give k(p(y)).\nAnswer: -y**2 + y + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -11\/6 (c) -0.2 (d) -3 (e) -2\/11 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1. Let f(r) = 35*r**2 + 15. What is f(o) + 15*z(o)?\nAnswer: 35*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 - -193. List the prime factors of r.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 + 2170*f**3 + 328800*f**2 + 19332070*f + 295705595.\nAnswer: 5*(f + 23)*(f + 137)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-10)*2*2\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from sfzzt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98)\/196)\/(((-2)\/(-2))\/(-3)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 384 divided by -48\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -3. Let o(p) = p**2 + 13*p + 4. Let x(u) = 2*u**2 + 26*u + 8. Let m(f) = 9*o(f) - 4*x(f). Let r be m(-13). Put -5, i, r in decreasing order.\nAnswer: i, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.7 + 8.1. Let j = -659 - -645. Let o = d + j. Which is greater: 0.2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 4265*p**2 - 3513745*p - 539788515.\nAnswer: 5*(p - 1407)*(p + 277)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/192 or -5\/7?\nAnswer: -1\/192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from ssssssssgsgsgssssg?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 5*p**2 - 6*p + 2. Let i be u(6). Let q be (i\/(-1))\/2*-3. Solve 3*k - 3*c = -q, -2*c = -4*c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -359 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4003\/2226 - 2\/159. Suppose -833 = -5*y + 4*i, -5*y - 7*i + 5*i + 821 = 0. Let s = y + -259\/2. Find the common denominator of s and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.064343 rounded to three dps?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22568*y**3 - 188*y + 188*y.\nAnswer: 22568*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30961623 and 1617.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*n - 26*n - 6720. Let k = n - -608. 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: Three letters picked without replacement from {g: 4, s: 7}. What is prob of picking 1 s and 2 g?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 2055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 815576.7t?\nAnswer: 815576700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (-2*sqrt(99)*-6 - sqrt(99) - sqrt(99) - sqrt(99))) + sqrt(99) - sqrt(99)) + sqrt(99))\/(sqrt(18)\/(sqrt(2) + sqrt(4)\/sqrt(2))).\nAnswer: -14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387*d + 356 = -383*d. List the prime factors of d.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -50, 0.9, 1, -4, -5\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 349766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 517637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 91*n**2 + 348*n + 19. Determine x(87).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/3 and 34\/152957?\nAnswer: 458871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*h + 26 = 0, -3*f + 22 - 18 = h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39*(0\/(-18) - 22\/36) and 43\/158?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 484, 1945, 4382, 7795, 12184?\n\"Answer: 488*z**2 - 3*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11555*x**6 + 16*x**2 - 201 wrt x?\nAnswer: 1386600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*((f*f\/(f\/((f**0*f)\/f)*f))\/f*f)\/f*f)**(3\/2)*(f*f**(-6))\/f*f**5 assuming f is positive.\nAnswer: sqrt(f)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 5*j + 4*j)*(2 - 3 + 2) + 3*j - 4*j + 3*j + (-4*j + 3*j - j)*(18 - 49 - 61) as h + o*j and give o.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2 - v + 1. Suppose l - 5*h = -h + 10, l - 2 = -4*h. Let c be 18\/12*8\/l. Let f(z) = -z**2 - z + 1. Determine c*f(p) - k(p).\nAnswer: 2*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107.134 + -105. What is b rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = v - 3*w + 29, 10 = 5*w. Let b = v + -21. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 221 - 3?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 5448*f - 1077203. Give z(191).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6)*(-18)\/(-8))\/((-1269)\/(-329))\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594829743811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(1*sqrt(2))*1.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 1:18 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -171.49 to the nearest integer.\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/750 and -43\/23070?\nAnswer: 576750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/60*(294\/(-4))\/(-7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 57*n**2 - 6*n + 22. What is the remainder when l(2) is divided by 81?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*1 - (sqrt(19) - -6*((sqrt(19) - -2*sqrt(19)) + sqrt(19)))) + 3 - ((-5 + sqrt(1539) + 2)**2 - (5 + 4*sqrt(1539) + sqrt(1539) + sqrt(1539))).\nAnswer: -1540 + 85*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -7)*-2*-88. Suppose -4*u - 144 + t = 0. Calculate the highest common divisor of u and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 88, -1\/2, -2, 335.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55 - -16270.\nAnswer: 16215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 10 = -10*h. Let b = 5 - h. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*t**2*u**2 - 2305*t**2 + 29*t*u**4 + t*u with respect to u.\nAnswer: 6*t**2*u + 116*t*u**3 + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/5? (a) -235 (b) -14 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**5\/120 + k**4\/24 + k**3\/12 + 5*k**2\/2 - 4*k. Let i(z) be the first derivative of a(z). Factor i(x).\nAnswer: (x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by -34.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2039967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5645 and -20121.\nAnswer: 11358.3045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6 and -0.07109225643.\nAnswer: -0.67109225643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6*-1)\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 7 + 0)*(-3 + 3 - 2*a)*(-a + 0*a + 3*a) to r*a**2 + h + c*a and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -29, 3 in ascending order.\nAnswer: -29, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11.44542 * 4.27\nAnswer: 48.8719434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -f + 2*f. Let g = 558 + f. Suppose -2*q + 0*d + d = -g, 4*q = -5*d + 764. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h. Let n(j) = -99421*j. Give n(d(r)).\nAnswer: 99421*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56793, 113587, 170381, 227175?\nAnswer: 283969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 818247?\nAnswer: 3, 43, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*v + 18. What is the remainder when (128\/6 + -2)*(-222)\/(-148) is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 7\/2*g**2 + 0 + 61*g - 1\/3*g**3. Give p(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c + 80. Suppose 3*p - c + 13 = 0. Suppose 4*f = 5*f - 5. What is the remainder when p is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a44 (base 16) to base 3.\nAnswer: 112211202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 10. Let j be v(7). Which is greater: 2\/7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5\/3 + 800*v**4 - 11894*v**3\/3 - 22320*v**2 + 47608*v\/3 + 76480 = 0 for v.\nAnswer: -3, -2, 2, 8, 1195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -23*k**2\/2 + 6. Let l(z) = z. Give t(l(s)).\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 3, 3*k + k - 5*b + 11 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1582 or -2100?\nAnswer: -1582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**5\/60 - d**2 + 132*d. Let s(m) = 12*m**2. What is r(s(c))?\nAnswer: 144*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12647706 divided by 12647706\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 872985.01 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12d (base 14) to base 2.\nAnswer: 11101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000134762 rounded to 6 decimal places?\nAnswer: 0.000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 507, 2\/155, -17?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.864061.\nAnswer: -0.4320305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252 by 550.\nAnswer: -126\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8432 + 8433. Which is the closest to s? (a) -2\/3 (b) -2\/5 (c) 1 (d) -4\/213\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 384 = -3*f - 27*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 + 3*p - 3*p + (p - 2*p + 2*p)*(-2*p**3 - 3*p + 3*p) - p**4 - 3*p**3 + 3*p**3 + (-2*p - 1 + 1)*(2*p**2 + 16*p**3 - 2*p**2).\nAnswer: -38*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 6*u = 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddrrdr. Give prob of picking 2 d and 1 r.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 150 + 24210*w + 126 - 434 + 158 in the form z*w + s and give z.\nAnswer: 24210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -10.1.\nAnswer: -111.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**2 - 339432*r + 339429 = 0.\nAnswer: 1, 113143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 241832 and 68.\nAnswer: 16444576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1138, 2276, 3402, 4510, 5594, 6648, 7666?\n\"Answer: -q**3 + 1145*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -w + 3918, -4*w + 8*s = 7*s - 15657. Suppose -10*z + j = -11*z + 775, -3*j = -5*z + w. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 134980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - -1 - (-4 + 5). What is the closest to 1\/3 in -5, u, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444778963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 309\/(-18) + (-2)\/(-12). Suppose -49*q = -51*q - 34. Is q < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 4. Let s = 2 - -4. What is the remainder when 30 is divided by p(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + 6*t - t)*(-7061*t - 7099*t - 3769*t - 3577*t - 6672*t) to n + a*t + d*t**2 and give d.\nAnswer: -84534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 z when four letters picked without replacement from {z: 18, j: 2}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -157*i**4\/24 + 512*i**3\/3 - 1151*i**2. What is the first derivative of g(z) wrt z?\nAnswer: -157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -527 - -540. Let n = 8 + -6. Let t(u) = 1 + 5*u**n - 6*u**2 + 16*u + 1 - w*u. What is t(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 526889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 149020623, 149020624, 149020625, 149020626?\n\"Answer: n + 149020622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 + 1792*q**3 + 1766*q**2 - 21480*q.\nAnswer: 2*q*(q - 3)*(q + 4)*(q + 895)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/3289 and -63\/20800.\nAnswer: 5262400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2908758?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -11.2. Which is the biggest value? (a) 1 (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14822544*v**2 - 48821608*v.\nAnswer: -29645088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c = 20. Suppose c*d = 26 + 19. What is the smallest common multiple of 6 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(8\/3)\/l*l**(-3\/4)*l**(-3\/10)\/((l\/((l\/l**(-6)*l)\/l))\/l) assuming l is positive.\nAnswer: l**(457\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**(-1)*j)*j)\/j)**11*j**(-2)*j*j**(-5)\/j*j*j**(-4\/3)\/j**2*(j**(-1))**39 assuming j is positive.\nAnswer: j**(-79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 2*s**2 - 2*s + 2. Let y be l(3). Suppose -5*o + y*d + 60 = 4*d, 9 = -o - 4*d. Solve k + 22 = -4*f, 14 = -5*f - o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -33 (b) -7 (c) 2\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 31. Let o be (24\/y)\/(2\/(-3)). Solve x - 15 = -o*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11221177?\nAnswer: 11, 92737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -194 - -201. Let k be (-6 + l)\/(4\/1364). Calculate the highest common divisor of k and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 2*q - 2 - 0, -5*w + 2*q = 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15268\/(-20) + 10\/25. Let z be n\/(-42) - 10\/(-12). Solve 5*x - 40 = -5*a, -2*x + z = 4*a - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 140*r**3 + 16*r**4 + 142*r**3 + 9 + 6*r**2 + 5 - 283*r**3 wrt r?\nAnswer: 384*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/14 - (-4 + (4 - 1)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 3*h - 36. Let w(r) be the second derivative of -r**5\/20 + 7*r**4\/12 - 5*r**3\/6 - 5*r**2\/2 - 5*r. What is w(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 6*t**2 - 2. Let y = -2 + 26. Suppose f = 5*f + y. What is k(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*w = 12, 2*o - 2 = 5*w - 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -86.061 to 0 dps.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30.46 - -31. Let p = b - -3.46. What is the second biggest value in -0.2, p, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81363.4 millennia to decades.\nAnswer: 8136340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbs when three letters picked without replacement from {r: 1, m: 1, b: 4, k: 1, s: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 1:12 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -261 (c) 3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w - 78 = -27*w. Let s(p) = 20*p**3 - 15*p**2 - 35*p + 23. Let n(z) = 7*z**3 - 5*z**2 - 12*z + 8. Let j(c) = 17*n(c) - 6*s(c). What is j(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*v - 29*v + 18*v - 2*v - v + v + (-3 + 1 + 1)*(2*v - 2*v + v))*(v - v**4 - v).\nAnswer: 30*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1200368216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104741 + -249321. What is u rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285.0002 milliseconds in nanoseconds?\nAnswer: 285000200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - -3.3. Let a = i + -4. Let h = -0.1 + a. What is the smallest value in 2\/7, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 215514 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177877206?\nAnswer: 2, 3, 13, 857, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + m - 2. Let w(c) = 27*c + 198. Let b(n) = 2*w(n) + 2*y(n). Factor b(p).\nAnswer: 2*(p + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/16 (b) -2\/3 (c) 3\/4 (d) 2 (e) -2\/1839\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**2 - 314*g - 53. Let s be n(-46). Let v = s + 446. Let l(i) = 8*i + 3. Let q(x) = -65*x - 25. What is v*l(t) + 3*q(t)?\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/(-24)*-12*8\/16\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 707 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2882*v - 952*v - 967*v - 958*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29773 and -235.\nAnswer: -6996655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 131*a - 4. Let g(o) = -94320*o + 2882. Calculate -4*g(b) - 2882*x(b).\nAnswer: -262*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -23 + -1 + 9 + 19 + -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/41888 and 1\/504.\nAnswer: 376992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 136*v - 10. Suppose 5*m - 5*y = 45 - 10, -y = -4*m + 16. List the prime factors of w(m).\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 - z**3 - z**3)*(968*z - 773*z + 770*z) + (-z**3 + 6*z**3 - 3*z**3)*(5 - z - 5) - z**4 + 3*z**4 - 3*z**4 + 0*z**4 - 3*z**4 - 8*z**4.\nAnswer: 1916*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**2*m*x + 29252*c**2*x - 229*c**2 + 13*c*m*x + 18*c*x + 243*m*x + 9*x wrt c.\nAnswer: -6*m*x + 58504*x - 458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 10, 20, 34?\n\"Answer: 2*t**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1350520 and 7090230.\nAnswer: 28360920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 47*x + 244. Let s be z(-41). Let c = -57 + 56.8. Sort -0.1, c, s, 1\/28.\nAnswer: s, c, -0.1, 1\/28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-9)*120\/20\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 4 + -12 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41.18 - -40.18. Let w = 1 - -16. Which is smaller: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.073 or 331265?\nAnswer: 331265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57280516 is divided by 338.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 21427 and 21347 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 16*n**3 + 3*n**2 + 52*n - 53. Calculate p(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -260 times -3\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 582*l**3 + 530*l**3 + 4 - 1126*l**3 + 7*l**2 - 2*l**4 - 3*l - 2 in the form f*l + c*l**2 + s*l**4 + u + y*l**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 95 + y - 86 + 0*y as s + p*y and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9 + 2*n - 2*n - 23*n**4 + 14*n**4 wrt n?\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4578 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y**8*y*y)\/y)\/((y\/(y\/((y*y**4*y)\/y))*y*y)\/y)*y**(-5)*y\/(y\/(y**(6\/5)*y*y*y*y))*y*y*y)**36)**(13\/2) assuming y is positive.\nAnswer: y**(8424\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 1, 4, 0, 9, 0.17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31\/2 + 15. Let z = -0.52 + 0.42. Which is the third biggest value? (a) 2\/13 (b) h (c) 2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -l - 2*o - 9, 4 = -4*o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (226\/(-2373) - (-68)\/(-42))\/(5\/(-105)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3103*i - 1549*i + i**3 - 10*i**2 + 2 - 1571*i as k*i**3 + z + g*i**2 + w*i and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -6377 and -0.3.\nAnswer: -6377.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -51 + 7. Let t = 121 + a. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 1178 = 955*f + 601 - 1381. Factor -21\/4 + 15\/8*q + 3\/8*q**f.\nAnswer: 3*(q - 2)*(q + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 45\/2 of a gram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1943, -2004, -2105, -2246, -2427, -2648?\nAnswer: -2909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 - 60. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*((sqrt(1584) - sqrt(1584)*-2) + sqrt(1584)).\nAnswer: -480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 165*q + 1376. Calculate the smallest common multiple of 280 and r(-8).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 16 = 0, -m = v - 2*v. Calculate the lowest common multiple of 10 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -286 + 158. Suppose -794 = -4*z - 2*o, -2*z + 44*o = 43*o - 399. Let q = z + r. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/4))\/h)\/(h*h*h**(-11)) assuming h is positive.\nAnswer: h**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27fdd (base 16) to base 10.\nAnswer: 163805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -5*a**4\/12 + 665*a**3 + 3995*a**2\/2 - a - 936. Solve w(z) = 0.\nAnswer: -1, 799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 7:27 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1876*w - 342*w = -12349 + 39961 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, i: 1}. What is prob of sequence nni?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 650.7075t in micrograms?\nAnswer: 650707500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23581*q**2 - 4*q + 23783*q**2 + 4*q.\nAnswer: 47364*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8855959997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 5. What is the nearest to 0 in -2\/13, -0.07, t?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 1\/((4*(-7)\/84)\/(-25)).\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-560)\/21)\/(4\/4470). Round u to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/5104 and 52\/261?\nAnswer: 45936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**5\/3 - 38*d**4\/3 - 418*d**3\/3 + 1462*d**2\/3 - 1528*d\/3 + 520\/3 = 0?\nAnswer: -10, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3654 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1195988*m**3 - 87*m - 8?\nAnswer: -7175928*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*y**2 + 9 + 11 - 20 to b*y**2 + g + l*y and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20389 + 1)\/(6\/3). Let f = 183611\/18 - z. Find the common denominator of f and -71\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1998, -1999, -2000, -2001?\nAnswer: -2002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -44.3*3\nAnswer: -132.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 + 26*f**2\/3 + 50*f\/3 + 74\/9.\nAnswer: 2*(f + 1)**2*(f + 37)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -126.\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 443, 457, 497, 575, 703, 893, 1157?\n\"Answer: 2*h**3 + h**2 - 3*h + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 24950*f**2 - 124655*f - 149550.\nAnswer: -5*(f + 2)*(f + 3)*(f + 4985)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8273226, -16546518, -24819810, -33093102, -41366394?\nAnswer: -49639686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90642 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -398 + 71?\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6405190*l + 840570 wrt l.\nAnswer: 6405190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103 - -107. Solve 5 = k*z - 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -5 + -55 + 34.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35\/(-10)*(-132)\/7. Calculate the highest common factor of 22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4272 and 31506.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10934, -21871, -32810, -43751, -54694?\n\"Answer: -a**2 - 10934*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 4:06 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(40\/(-765))*((-1848)\/187)\/(-28).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3436 + 3432.998. Let k = -3 - a. Round k to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19773? (a) -2 (b) 31 (c) -0.2 (d) -1\/2 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7414819 centimeters in meters?\nAnswer: 0.007414819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 6120.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -35 (b) -4.3 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*q + 2*p, -4*p + 3 = 3*q + 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1110 + 1110. Let 1\/6*u**3 + 1\/2*u**2 + m + 1\/3*u = 0. Calculate u.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d. Let q(m) = -186*m + 13. Let n(l) = 44*l - 3. Let f(g) = -17*n(g) - 4*q(g). Determine 6*f(w) + 13*k(w).\nAnswer: 2*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 589, 1189, 1791, 2395, 3001, 3609, 4219?\n\"Answer: u**2 + 597*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 2) + 3 + -3. Suppose v = 50*b - 21*b - 19111. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0384 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 24, 3, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (3 + -4)*4899999. Round o to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/((-4)\/(-6)). Let p = -1223\/13 - -94. Let k = 47\/104 + p. Which is the second smallest value? (a) k (b) 2\/15 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187092 - 93407 - 16*w - 93686.\nAnswer: -16*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - g + (-3*g + 2*g - g)*(-1 + 2 - 2) + 2*g + 2 - 2 - 8*g + 0*g + 2*g)*(-11 + 1 - 742*g**2 + 744*g**2).\nAnswer: -6*g**3 + 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-q**2 - q**2 + 3*q**2)*(-2793 - 39*q + 2793) - 3*q**3 + 0*q**3 + 0*q**3)*(-6*q - 27*q - 64*q) as f*q**3 + k + z*q + b*q**2 + g*q**4 and give g.\nAnswer: 4074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.326 + -0.026. Let o = -289.3 + 285. Let a = k + o. Which is greater: a or -6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.8 times -0.5\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120417 is divided by 53.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 0*h + 36 - 11\/3*h**3 + 3\/2*h**2. What is the second derivative of c(d) wrt d?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1498 + -1497.28. Is j smaller than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*b**2 - 2205 + 18*b**2 - 39*b**2 + 2204.\nAnswer: -70*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233101 (base 5) in base 4?\nAnswer: 11321113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*z = 30. Suppose 2*l + 5 = z. Suppose 3*o - 9 = -3*p, l*o = 3*p - 5*p + 9. Put p, 0, 9 in descending order.\nAnswer: 9, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38586*q*x**3 + 2130*q - 27*x**4 - 24*x**2 wrt x?\nAnswer: -231516*q - 648*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 + -149 + 83 - -77.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -19, 1 in descending order.\nAnswer: 1, 0, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**5\/20 - 13*s**4\/12 - 7*s**3\/3 + 5*s**2\/2 - 2*s - 36459. Suppose -3*r + r = 4, 3*z + 5*r - 32 = 0. Determine v(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**20)\/b**10*b**(3\/16)*b*b**(-6\/11)\/b assuming b is positive.\nAnswer: b**(1873\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - (-11 + 13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14961*t**3 - 6791*t**3 - 6842*t**3.\nAnswer: 1328*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -243, 484, 3131, 8652, 18001?\n\"Answer: 159*q**3 + 6*q**2 - 404*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.0753?\nAnswer: -0.2259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 41753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/72983531?\nAnswer: -1\/72983531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1107 (b) 1\/4 (c) -1705\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29799 - 25136. Calculate the highest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**4 + m**4 - m**4 + (m - 2*m**2 - m)*(884*m**2 + 728*m**2 - 1866*m**2).\nAnswer: 512*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4182 - -5664. List the prime factors of g.\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1137 by -6.\nAnswer: -379\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7336127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 2*o + 13. What is the remainder when 73 is divided by s(6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -251 - -326. What is the greatest common divisor of 45 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 10. Suppose 0 = 4*k - 6 - 2. Let l(j) = 5*j**k - 2*j + 3*j - 4*j**3 + 0*j**2 + 3*j**3. Give l(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (1 - (3 + 6))) + -1 + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(5 + (1 + sqrt(1053) - sqrt(1053) - sqrt(1053))) + -2 + ((-1 + 2*sqrt(13))**2 - (sqrt(13) + (sqrt(13) - (sqrt(13) - sqrt(39)\/sqrt(3))**2) + 3)).\nAnswer: 22 + 39*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 321\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttdgwmmwdtwdtptttmt. Give prob of sequence dt.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 4*v**2 + 1. Let i be q(4). Find the first derivative of 2*p - 1 + i - 3 - 4*p wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) 8\/1209 (c) 4 (d) 0.15 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3926377289?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*t + 11380 = -2*t, 3*m + t = 6844. What is the highest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 47*p + 49. Let g(s) = -27*s - 28. Let a(u) = -7*g(u) - 4*o(u). Let k(d) = -3*d**2 - 2*d**2 + 16*d**2. Determine a(k(v)).\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/20)\/(6 - 13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1523 + 234 = 84*d - 581 + 1644 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*f**2 - 37*f**2 + 27*f**2 - 69*f**2 as n + d*f**2 + i*f and give d.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -183529, -1, -3, -2\/9, 3\/13 in decreasing order.\nAnswer: 3\/13, -2\/9, -1, -3, -183529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -594*w**3 - 3*w**2 + 7*w - 2 + 2*w**2 - 3 + 0.\nAnswer: -594*w**3 - w**2 + 7*w - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-28) - 14\/28.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 849452540 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 69*k**4\/8 + 2*k**3\/3 + 7*k**2. Is b(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3879 less than -0.22?\nAnswer: -2.6079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*s = 58*s + 245 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**5\/60 + o**4\/8 - 11*o**3\/6 + 13*o**2. What is the units digit of t(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 3*g**3\/2 - 6012*g. Let k(m) = -500*m**2. Calculate k(x(d)).\nAnswer: -40500*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275887*l - 49852 + 49852.\nAnswer: -275887*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 15*k + 52. Determine p(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.7 + -8. Let v = -469\/6 - -78. Let k(n) = -n**2 - 5*n - 3. Let t be k(-5). Which is the closest to 1\/4? (a) t (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*v**2 - 15*v**2 - v**4)*(-10 + 3 + 3).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -124641377, -124641386, -124641395, -124641404?\n\"Answer: -9*y - 124641368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1\/72, 2, 4, 0.121?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -6 - -6) + (-3 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - -10. Let h(v) = -2*v**2 - 7*v + 10. Let a be h(-7). Let l = a + 69. Calculate the highest common factor of l and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 58244328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 22060850*a + 24334055136125.\nAnswer: 5*(a + 2206085)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 = -3*c + 4*m, -2*m + 304 = -2*c - 0*m. Let b be c\/(-2) + 6\/(-2). Let h = b + -55. Calculate the highest common factor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 12:35 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 181361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**3 + 8*j**2 - 4*j + 7. Let k(y) = 4*y**3 + 9*y**2 - 4*y + 6. Let n(v) = -3*b(v) + 2*k(v). Calculate n(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 50228223 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 22. Suppose -2*j + o*n + 479 = 0, -503 = -5*j + 3*j - 5*n. Let q(h) = j + 0*h**2 + 9*h + h**2 - 236. Give q(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) - (sqrt(294)\/sqrt(24) + sqrt(49)) - (sqrt(441) - 1*sqrt(441))\/sqrt(9))\/(sqrt(700)*1*-5).\nAnswer: sqrt(7)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**2 - 28*z + 133. Is y(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 1. Suppose -46*f + 4*o + 8 = -44*f, 3*f = -5*o + 1. Let x(w) = w**2 + 4*w - 2. Calculate f*l(i) - x(i).\nAnswer: i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2*y**(4\/9))\/(y**8\/((y*y\/(y\/((y\/y**(-2)*y)\/y*y))*y)\/y*y))*((y\/(y*y**2*y)*y)**35)**(-45) assuming y is positive.\nAnswer: y**(28354\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 6:54 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 4:06 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m = -6. Suppose 0*n = m*n - 1518. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = j, -4 = -4*j - w + 8. Suppose j*m + 4*d + 21 = 5, -2*d = 10. Which is the closest to m? (a) 1 (b) -2\/7 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3859*s. Let n(z) = 595*z. What is d(n(k))?\nAnswer: -2296105*k","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 14709917.3 rounded to the nearest 100000?\nAnswer: 14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 2*w**4\/3 + w**3\/3 - 2*w**2 - 7*w. Let h(d) = -d**2 + 1. Determine -6*h(j) - v(j).\nAnswer: -2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g + 8. Let m be j(5). Let c be 15\/6 - (-2)\/4. Suppose -7 - 24 = -c*f - l, -51 = -3*f + 3*l. Calculate the greatest common factor of f and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1354, 1376, 1416, 1468, 1526?\nAnswer: 1584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1690 and 1709942.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -12416.64377?\nAnswer: 12415.64377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*q**3*t**2*v + 3*q**3*t*v - 2*q**3 + 6*q**2*t**2 - 8*v wrt t.\nAnswer: -16*q**3*v + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1369, -1368, -1367?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(((-792)\/(-126))\/(12\/42)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 7:51 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 432243, 864570, 1296897?\n\"Answer: 432327*q - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 209*g**2. Suppose 5*d + n - 5*n + 1888 = 0, -4*d - 1512 = -4*n. Let f = d - -381. Let u(h) = 16*h**2. Give f*i(v) - 66*u(v).\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 - 4 - g - 123*g**2 + 3*g**2 + g**3 + 33*g**2 - 4*g**2 to w + f*g**2 + j*g**3 + k*g and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.7 - -27. Let d = -3\/74 + 43\/148. Which is the nearest to d? (a) -0.28 (b) 4\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29885865, 59771729, 89657593?\nAnswer: 119543457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304 < 1369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d\/(d\/d**(1\/2)*d*d)))*d*d)**(-5)\/(d*d\/((d*d**(-3\/2))\/d))**(3\/23) assuming d is positive.\nAnswer: d**(-183\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 9*t - 4*t + 5, 5*t = -4*j + 49. Suppose -o = -j*o + 240. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y**2 - 109065*y + 27265 = 0. Calculate y.\nAnswer: 1\/4, 5453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjl when three letters picked without replacement from llggojlllooollggol?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 782, 1565, 2350, 3137, 3926?\n\"Answer: t**2 + 780*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3 + 1367893*h**2 - 467810855408*h + 19177945712516 = 0.\nAnswer: 41, 683926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/16 - (-79)\/4. Suppose 0 = -4*g + 2*g + o. Solve -2*w = -r - 0*r + 10, 4*w = -3*r - g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16275484153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34 + 14 + 20*v**2 - 80*v - 4*v**3 + 16*v**2.\nAnswer: -4*(v - 6)*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1325185.\nAnswer: 5, 265037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30035141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 12408469\/14 + -880935. Let y = o - 5382. Find the common denominator of -37\/10 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - 2) + -148 + 217 - 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.07, -0.5, 1\/9, -3, -5 in descending order.\nAnswer: 1\/9, -0.5, -1.07, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventy-two fifths of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 26*m**2 - 6. Let x(a) = -237*a - 468. Let z be x(-2). Let s(q) = 286*q**2 - 65. Give z*s(k) - 65*n(k).\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39832.\nAnswer: 2, 13, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18 and -0.573084?\nAnswer: 18.573084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 6751*b - 6754*b - 25 = 0, 4*y - 14*b - 50 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 5051\/288 (c) 2 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w + 6. Let d be l(6). Let z(g) = -g**3 - g**2 - 8*g + 1. Let o be z(-4). Let v be (4\/6)\/(6\/o). Calculate the greatest common divisor of d and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3 - (-56)\/(-4) - -3665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -205 + -6465243?\nAnswer: -6465451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2\/(-4) - 75\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -319 - -340. Let b(f) = 90*f + 464. Let p be b(-5). What is the greatest common factor of p and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 108, 136, 162, 186?\n\"Answer: -b**2 + 31*b + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 612.4244189 to the nearest 10.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from yttvvvt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 183 + -2905\/16. Calculate the common denominator of h and 29\/1840.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(6*(-1)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 12:45 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5903948129 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/12)\/5)\/((-6)\/8)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*n + 4*i = 0, 0 = 2*n - 5*i. Sort 3, n, -4 in ascending order.\nAnswer: -4, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260.80465 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.35 + 0.05. Let s = -565 + 339. Let g = s - -225.8. Sort g, 8, i.\nAnswer: g, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18673982281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 3302233 and 3302222 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*f + 1 = -2*q, -4*f = 2*q + 10. Let t = -0.59 - 11.54. Let w = t + 0.13. Sort q, 4, w in ascending order.\nAnswer: w, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/20 + (-3)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 963655 to the power of 1\/2, to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*c + 13 - 4, -3*c - 24 = -5*d. Suppose -87 = -3*u - a, 4*u + d*a - 127 = -2*a. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(-2 + 7 - 4)*(1 - 2 - 1)*(3*b - 5*b**2 - 3*b) to the form f*b + s + c*b**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5849922118.001707 + -5849924765. Let b = -2647 - l. Round b to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 8 = -7*l. Is -2\/29 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {m: 5, j: 14}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 4 + 4)*(0*a**2 - 7*a**2 + 2*a**2 + (-6*a - a + 4*a)*(-a - a + a)).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -546 in -2\/29, 36, 0.1?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33a739e0 + 5?\nAnswer: 33a739e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/16 and 55\/2762.\nAnswer: 22096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*h = 46, -2*h = 3*f + 17 - 50. Let a(q) = q**2 - 6*q + 10. Let w(i) = 3*i**2 - 18*i + 29. Let m(r) = -11*a(r) + 4*w(r). What is m(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6610*b**3*i**2 + 94686*b**3 + 30*b**2 + 2423*b*i**2 + 2*i**2 wrt i?\nAnswer: -13220*b**3*i + 4846*b*i + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 4:12 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23496 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(833) - (-3*sqrt(204))\/sqrt(12))**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 5, n: 1, g: 3, i: 1, m: 4}. What is prob of picking 1 j and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 15 = 4*b + 3, 0 = -4*b - w - 8. List the prime factors of (-40)\/b - (6 - 7).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 5. Let f be r(3). Let a be (f - 4) + 4*2. Solve a*t - t - 25 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1957 (b) -24 (c) 266 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3 - 5*o**3 + o**2 + 3*o**3 + 3*o**3. What is x(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22)\/6 - (-2265)\/90. Suppose -1 - 12*r**3 - m*r**2 - 21\/2*r = 0. Calculate r.\nAnswer: -1, -2\/3, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 18*t. Let p(c) = -c + 675. Give n(p(f)).\nAnswer: -18*f + 12150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -34*f + 752. Let l(d) = 1. Let b(m) = c(m) + 2*l(m). Give b(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 4*c + 12. Calculate the lowest common multiple of c and (6 + -3)\/(1 - (-5)\/(-8)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 17081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 12064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/7, 4\/5, -4, 3.07, 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7 - 10039462.\nAnswer: -10039460.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 7. Let q(g) = -1. Let m(h) = 14*q(h) + 2*z(h). Let n(w) = w - 3. Let r(l) = -4*l + 14. Let y(p) = 28*n(p) + 6*r(p). Determine y(m(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-2\/7)*b))**(2\/57)*(b**0)**46)\/(b**(-1)\/b*b\/(b\/(b**9\/b))*b)**(5\/13) assuming b is positive.\nAnswer: b**(-13913\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + y**4 - 2*y**3)*(23*y + 10*y - 78*y + (2*y + y - y)*(-1 - 2 + 2)).\nAnswer: -47*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114132, 228298, 342458, 456606, 570736, 684842, 798918, 912958?\nAnswer: 1026956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/3 + 803688*s - 242217900504.\nAnswer: -2*(s - 602766)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(4*i + 0*i - 3*i)*(i + i + 0*i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 22157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -146726582272 - 0.062\nAnswer: -146726582272.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -23*f**5\/5 - 148*f + 285. What is the derivative of u(q) wrt q?\nAnswer: -92*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**3 + t**3 - 4*t**3)*(-1 - 4 + 4) + (t**2 + t**2 + t**2)*(-3*t + 3*t + 2*t) to the form o + h*t**2 + i*t + b*t**3 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1389209009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 79462?\nAnswer: -79464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104482177 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-seven halves of a litre in millilitres?\nAnswer: 48500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 7 + 16. Let s be 1\/4 + q\/4. Let p be (0 - s)*(-2)\/4. Is p greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 162\/30 - 36\/90. Let i(a) = -4*a**3 - 6*a**2 - 5*a. Let d(u) = u**3 - 4*u - 17*u**2 + 18*u**2 + 5*u. Calculate h*d(j) + i(j).\nAnswer: j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/8 + 20505*q\/2 + 81996.\nAnswer: 3*(q + 8)*(q + 27332)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 967.5921 to 0 decimal places.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3.5. Let s = -94 - -125. Let i = s - 32. Which is the third biggest value? (a) i (b) 1\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*n + 49 = 83*n + 5*k, 4*n - 4*k - 40 = 0. Calculate the remainder when ((-16)\/5)\/((-10)\/200) is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1053666?\nAnswer: 2, 3, 58537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 714*l - 5*l**2 + 25981 - 68464.\nAnswer: -3*(l - 119)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -8019315?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 9.101.\nAnswer: 54.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1046840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 4.353783?\nAnswer: 34.830264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2. Let k(w) = 2*w - 14767. What is k(o(j))?\nAnswer: 4*j**2 - 14767","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000806574 to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 18 = 17*k + 3*m, -5*k - 5*m = 50. Let p(o) = 2*o**2 + 2*o - 2. Let z(u) = u**2 + 3*u - 3. Give k*p(n) + 4*z(n).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*c + 400 = 0, 3*g - 7*c + 5*c = 283. Let m = -93 + g. Solve m = -4*t + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 6*r + 2. Let t be i(5). Let n = 0 + 1. Let j = -2 + n. Which is the second biggest value? (a) -0.5 (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20, 23, 28, 35, 44, 55?\n\"Answer: z**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24.8 - -35.1. Let b = w + -10. What is the third smallest value in b, 10, -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 0.069462\nAnswer: 0.369462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - m. Let u be -3*(8\/3 - 2). Let p be d(u). Let c(n) = -n**2 - 5*n + 8. Let j be c(p). Solve 17 = 5*o - 4*b, -j*o + 3*b + 7 = -4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5143200 by 1714400.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/1404 and -7\/5?\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8263078.\nAnswer: 2, 4131539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - g**2)*(-26 - 27 + 21).\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/58)\/(14\/(-12) + 4\/6)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*(-7)\/(56\/60)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10768 is divided by 10740.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 - 250\/(-150). Let t be 3\/(-6)*5*(0 - l). Solve -20 = 3*q + 4*u, -5*q - 10 = -t*u - 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-1\/3))\/x*x)**41)**(3\/26) assuming x is positive.\nAnswer: x**(41\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-10) + 1014\/(-2044). Let t be (-395)\/3066*88 + 3. Let b = t + c. Find the common denominator of b and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-840)\/(-63))\/((-2)\/(-18)). Let j = -34 + 74. What is the greatest common divisor of q and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.217 - -0.057. Let c = -0.1599958 - j. What is c rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2152*v**2 + 2075*v**2 - 4225*v**2 - 12*v - 22*v**4)*(-1 - 1 - 1) as r*v + m*v**3 + i*v**4 + t*v**2 + x and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 3*i**2 + 2*i - 3. Let l be m(2). Let u = -4096 + 4096.2. Which is the smallest value? (a) l (b) u (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -84*g + 4. Let x(y) = 35*y**2. Determine z(x(a)).\nAnswer: -2940*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 796*l**2 + 2*l**3 - 9*l**4 - 893*l**2 + 0 - l to h*l**4 + t + j*l**2 + k*l + d*l**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2)*8 + 28. Let h = 23 - s. Are h and 1\/6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 5 - (-13 + 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.9 - 9. What is the third biggest value in -3\/5, -38, u?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27, -26, -25, -24?\n\"Answer: v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 + 109. What is the highest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51237045 divided by 17079015\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 23*n + 7. Let g be x(-13). Let i = -17 + g. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2.4 = 3409.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 390\/360 + 8\/(-6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 3. Let j be i(8). Suppose z + z = 2, 0 = r - j*z. Solve 0 = -4*l + r*o - 31, 2*l + 13 = l + 3*o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4 = -d, 0*s - d - 3 = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 106 = -1883. What are the prime factors of (-39 - 5)*(i\/(-12) + 2)?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.08 (b) -0.5 (c) 0 (d) 5 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5054 - 5053. Let t = 0.08 + -4.08. Which is the third biggest value? (a) -0.1 (b) g (c) 5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877 is divided by 772.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -566 - -566. Find the third derivative of 0*f + p*f - 85*f**2 - 234*f**3 + 307*f**3 wrt f.\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*540\/162\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*u - 25*u - 17*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 782 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 994*k**3*s*x - 294*k**3*s - 379*k**3*x + 15*k**3 - k**2 - 4*s**2 - 12*x wrt s.\nAnswer: 994*k**3*x - 294*k**3 - 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135280957 and 2177?\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4225*v - 1679*v - 1276*v - 1274*v - 14*v**2.\nAnswer: -14*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110 + 0)*(-12)\/(-375)*-20 - (-28)\/(-70)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v - 30 = -31*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.086 and 1607.\nAnswer: 1607.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -123 + 318. Suppose -2*h + 2*u = -82, -5*h + 22 = -u - f. Let j be -6 + 4 - (-89)\/h. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 13*s - 118. Let m be x(10). Are 9 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3. Let r(v) be the second derivative of 5*v**4\/12 + v**3\/6 + v**2\/2 - 3*v. What is the units digit of r(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + 20060)*(-3)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 5711.\nAnswer: 51399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 113 - (-1 + 0)*0. Let l(x) = -70*x - 110. Let g be l(0). Let f = i + g. Is 13\/8 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 11*o + 29. Let j be w(-11). Suppose 0 = 2*u - 5*t - j, -2*u = -2*t + 9 - 23. Is 2 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 81*t**2 + t + 1. Let a be v(-1). Let o = 403\/5 - a. Which is bigger: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + -2 + (-9 - -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9315 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 588333911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - (-15 - -17).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5853*h - 10689*h + 5392*h)*(-17*h**2 + 16*h**2 + 10*h**2) as n*h**3 + v*h + d + w*h**2 and give n.\nAnswer: 5004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -321311 - 2311?\nAnswer: -330222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 293561652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**4 + 2891*q**2 - q - 43163.\nAnswer: -24*q**2 + 5782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -12 + 14. Let n(d) = -d + 5 + d**2 - 2 - u. Determine n(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -167, 0.1, -6\/115, 0 in descending order.\nAnswer: 0.1, 0, -6\/115, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -1246151b?\nAnswer: 12461519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24053, -23995, -23937, -23879, -23821?\n\"Answer: 58*d - 24111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -14, -3, 0.0661, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**2 - 7*k - 9515. Let t(z) = -4*z**2 + 8*z + 9514. Let c(v) = 3*i(v) + 4*t(v). Is c(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -381 - -376.03. Let f = -0.03 + v. Which is the third biggest value? (a) 5 (b) f (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19c656a8 - 4?\nAnswer: -19c656ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4617, -10794, -27569, -60240, -114105, -194462, -306609, -455844?\n\"Answer: -883*l**3 - l**2 + 7*l - 3740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = r + o - 15, -3*r = -5*o - 12. Solve t = f + 2, 4*f + 10*t = r*t + 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 846396403 to the power of 1\/2, to the nearest integer?\nAnswer: 29093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25304492*f*s**2*t**3 + 2*f*s**2 + 16699*s**2 - 361*s*t**3 + 3*s*t wrt f.\nAnswer: 25304492*s**2*t**3 + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11676 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 0.3, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 76*u + 179. Let v be f(-2). Solve -5*h + v - 47 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -314, -315, -316?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(7) - (sqrt(63)*-3)**2) + sqrt(7) + sqrt(7) + sqrt(7)*2 + 3 + (-6*1*sqrt(847))**2).\nAnswer: -179568 - 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/2 + 171*o**2 + 339*o\/2.\nAnswer: 3*o*(o + 1)*(o + 113)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14581020 and 10?\nAnswer: 14581020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2 + 2192*y + 15148 = 0 for y.\nAnswer: -541, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of ((-12)\/(-10))\/(2\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34233966 divided by 1\nAnswer: -34233966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0*t - 14. Let n(a) = a + 9. Let y be n(-10). Let z be (-2)\/(6\/(-45)) + y. Calculate the highest common divisor of t and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 6:16 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24194 - 76.\nAnswer: -24270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2206.58802 rounded to the nearest 10?\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/104 and 21\/221.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 39. What is the least common multiple of (-1510)\/(-50) - (-47)\/(-235) and m?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 374*s - 3982. What is o(13)?\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/4 - 8238\/24. Let y be 4\/6 - (x\/21 - 0). Suppose y = -4*a + 185. What is the remainder when a is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -63469148*r. Let c(p) = -4*p. What is v(c(g))?\nAnswer: 253876592*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**6 + 60946001*w**3 + 16506382*w**2.\nAnswer: 240*w**3 + 365676006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1738790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(11) + 1) - (sqrt(110) + -3*sqrt(110))\/sqrt(10))**2.\nAnswer: 48*sqrt(11) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*k - 2*b, -5*k = 2*b + b. Suppose 11 = 4*o + k. Solve 0 = o*p + 5*w - 14, 0 + 6 = -p + 4*w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cph when three letters picked without replacement from rcrccccpprpcph.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**3 - 7*c**2 + c - 1. Let t be k(5). Let z be 2 - 28\/16 - t\/(-16). Solve -4*s + 1 = z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -19\/3*h**2 + 175\/3 - 157\/3*h + 1\/3*h**3 = 0?\nAnswer: -7, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -5, 6\/108343 in increasing order.\nAnswer: -31, -5, 6\/108343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4620078 divided by -1539.\nAnswer: 3002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 + 20 + 459*z + 460*z - 904*z)*(-2*z**2 + z**2 - z**2) + (2*z + 3 - 3)*(-2*z - z**2 + 2*z) as v*z**2 + c*z + p + w*z**3 and give v.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101021 (base 3) to base 7.\nAnswer: -2635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z**2 + 37*z + 13. Let x(s) = s**2. Let h(o) = -r(o) + 4*x(o). Let d be h(-18). Suppose d*b - 222 = 778. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 104897.418 to the nearest one hundred.\nAnswer: 104900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmw when three letters picked without replacement from muummuumwmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223201 (base 5) to base 3.\nAnswer: 101212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 88 = -8*j - 33, 3*d = 27*j - 29*j - 33 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -33. Differentiate 22*g**2 - 16 - 22*g**2 + 6*g**z with respect to g.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-189)\/(-2) - (-72)\/(-144) is divided by 76\/(-6)*9\/(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)\/c**(-1\/5))**49 assuming c is positive.\nAnswer: c**(-1176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2055, 2051, 2045, 2037, 2027?\nAnswer: 2015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1039187 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 148 divided by -1\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 32. Determine x so that -11*x + 2*x**2 - v*x**4 + 2*x**3 + 12*x - 3*x = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -z + 2. Let t = 18 - 10. Let o = t + -4. Solve -k + 1 = 0, -z*k + 21 = -o*r - 3*k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g + 20. Let o(m) = -m + 12. Let x be o(g). Suppose -54504 = -5*u - 4*i, 5*i = -x*u - 0*u + 21805. 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: Does 21 divide 3483837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3\/9 + 2538752*d**2\/9 + 5077511*d\/9 - 2538754\/3 = 0. What is d?\nAnswer: -3, 1, 2538754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110673?\nAnswer: 3, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -2 + 7 + 4. Suppose -24 = s*n - 0. What is the tens digit of (14\/(-4) - n)*-50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76\/9 - 62\/3*a + 10\/9*a**2.\nAnswer: 2*(a - 19)*(5*a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331663 is divided by 10698?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17692 is divided by 8831?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2018.96 - 1942. Let o = -77 + b. Is o at least -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 1. Let v(t) = t**2 - 2*t. What is -6*f(o) - 2*v(o)?\nAnswer: -2*o**2 - 2*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 38746 + -0.113\nAnswer: 38745.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n + 2. Let b(j) = -j. Let x be b(5). Let i = x + 3. Calculate t(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1\/47))**(1\/13)\/(j**(-1\/7))**(1\/9))**(38\/7) assuming j is positive.\nAnswer: j**(133342\/269451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 213411 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 equal to -1.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-36)*(-8)\/(-4). Which is the second biggest value? (a) -5 (b) w (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -543*n**4 - 5*n**3 - 2*n**2 + n - 1551?\nAnswer: -13032*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5094, 8880, 12666, 16452?\nAnswer: 20238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, q: 7}. What is prob of picking 3 q and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70497 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from aapaeapnn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 694071?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 72\/8 + 4 - 11. Suppose -10 = -4*u + 5*f, -3*u + 5*f + 10 = 2*u. Suppose 2*l = -u*l. Solve -2*v = -5*a - 3, v = 3*a - l*v + g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -454, -916, -1392, -1888, -2410, -2964?\n\"Answer: -v**3 - v**2 - 452*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-150)\/(-48))\/(-25) - (-128050)\/16. Calculate the greatest common factor of h and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 9*d + 5. Let a be c(-9). Suppose -s - 3*p = 0, -25 = 5*s - a*p - 5. Let h be (s\/(-2))\/(2\/4). Solve -5*l = -h - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 7*f**2 - 25*f + 201. What is i(8)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 8 = 4*w, 17*w = -2*p + 22*w - 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3628 - 1197 = 211*n - 2633 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51*n**2 - 10 - 18*n**2 - 4 + 35*n**2 wrt n?\nAnswer: 136*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, 0 in increasing order.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**4\/12 + 1248*l. Let b(f) = -3103*f**2. Give b(h(m)).\nAnswer: -3103*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45910*o - 45908*o = 1 - 3. Suppose w = -w + 2. Which is the nearest to -3? (a) o (b) 2\/11 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -13, -4\/15, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m - 57. What is the remainder when 34 is divided by y(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.359534 + 34?\nAnswer: 64.359534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/29, -2, -1\/8, -0.5, -9, 12 in ascending order.\nAnswer: -9, -2, -0.5, -6\/29, -1\/8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*g + 3379 + 5872. Suppose -187 + 42 = -5*m + 3*r, -4*r - 87 = -3*m. Calculate the greatest common divisor of g and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 110 - 0. Calculate the greatest common factor of c and 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8615917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39 and -660819.\nAnswer: 25771941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9}. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 610491 by -7.\nAnswer: -87213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156 (base 14) to base 6.\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z + 4. Calculate s(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52.811 + 15.275. Let b = -68 + p. Round b to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 48 = 11*y. Let g(s) = -2*s**3 + 13*s**2 + 9*s - 9. Let w be g(y). What is the highest common divisor of 27 and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2200201 - -112021?\nAnswer: -2011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4820 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2390 and 251210510?\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -136 divided by 6758\nAnswer: -68\/3379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-1550956.\nAnswer: 6203824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 226 * 0.1.\nAnswer: 22.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14771929.000102 - 14771880. Let q = j - 49. What is q rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2198\/2 - (-1 + 3). Suppose 3*q = 4*q - v. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 2128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -1) + 122\/2. Suppose 0 = r + 3*o + 47, 3*o - 8*o = -4*r - 120. Let w = z + r. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/144219 and -14\/17.\nAnswer: 2451723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -651522223 + 0.4.\nAnswer: -651522222.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 4 + (-13 - (-13 - 750))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*c + 3360. Suppose -3*x = -19*x + c. Calculate the greatest common divisor of x and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*w**3 + w**3 + 3*w**3)*(3 - 2 + 0) - 4*w + 2*w**3 + 4*w + 0*w**3 + 3*w**3 - w**3 + w**3 + 2*w**3 - 5*w**3)*(145*w - 65*w**2 - 145*w).\nAnswer: -260*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-5))\/(1\/15*885\/(-590))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8327760 and 5640.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.25 + -0.05. Let k = -20.7 + 20.8. Let b = t - k. What is the closest to 7 in -1, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + 14104\/1189 + 1227 + -1239\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.07216127 and 0.07.\nAnswer: 0.0750512889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11985*p**3 - 11975*p**3 + 23958*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*c - 59*c - 97*c = -182*c - 1365 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(4\/7)*n**(-1\/2)*n*n*n*n*n**(-8)*n*n*n*n**3*(n*n**(2\/7)*n*((n\/((n\/n**(-3\/7))\/n))\/n)\/n*n)\/((n\/(n**(1\/4)\/n))\/(n*n*n**1)) assuming n is positive.\nAnswer: n**(145\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1093370, 1093369, 1093368, 1093367, 1093366?\n\"Answer: -j + 1093371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 1 (b) -71 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:31 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*r = 0, -3*n + 4*r = -0*n. Let w = n - -3. Suppose w*y - 72 = -y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 12 = 23. Let v = f + 53. What is the smallest common multiple of 4 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 222.8 - 204. Let a = 19 - w. What is the nearest to -1 in 2\/7, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + 2*p**3 - 4*p**3)*(3 - 1 - 3)*(2*p - 5*p + 12*p).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -43, -3, -1, 6, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 7*p**4\/24 + 5*p**3\/6 - 12*p**2. Let c(l) = -20*l - 14. Calculate -3*c(x) - 8*d(x).\nAnswer: 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 - 0.41. Which is the closest to -1? (a) 0.4 (b) s (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 116 = 2*y. Let m = y - -31. Solve -m*h - 3*s = -6*s + 1, 0 = -2*h - 5*s + 23 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2333475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 69.73644g?\nAnswer: 69736440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -31*v**3 + 9*v**2 - 9*v - 9. Let i(g) = 4*g**3 - g + 1. Let n(z) = 28*z**3 - 2*z**2 - 3*z + 7. Let j(r) = 5*i(r) - n(r). Give 9*j(u) - 2*x(u).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 8*h - 8*h + (1 + 1 - 3)*(2*h**2 + h**2 - h**2) - 2*h**2 + 3*h**2 - 3*h**2 - h**2 - h**2 + 3*h**2 + 0*h**2 - 2*h - 2*h**2 + h.\nAnswer: -8*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444252595.\nAnswer: 5, 29, 59, 51929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1. Let x = -1887 + 1886. Let y(u) = -5*u - 5. Give x*y(s) - 2*m(s).\nAnswer: 5*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15089, -15078, -15069, -15062, -15057, -15054?\nAnswer: -15053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2, 8, -19, 1\/3 in descending order.\nAnswer: 8, 0.5, 1\/3, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 20*t**2 + 106*t - 6. Is 6 a factor of r(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -7. Let w be -1*4\/((-28)\/(-3)). What is the nearest to -1 in s, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46692637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6867, -9157, -12973, -18315, -25183, -33577?\nAnswer: -43497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -427? (a) 3\/4 (b) 0.046 (c) 2\/7 (d) 1 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29267710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 28 = 18. Let f be 3*(-1)\/6*-4. Calculate the common denominator of ((-4)\/(-6))\/(f\/c) and -13\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -409, -522, -635, -748, -861, -974?\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:49 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 10:07 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -5 (c) 1\/5 (d) 0.4 (e) -399\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4 (b) -3\/199 (c) -41 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 - 2*f**2 + 18*f - 16*f + 14*f**3 + 3*f**2 + 8*f**2 - 2*f**4 as s*f + t*f**4 + n*f**2 + v*f**3 + r and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/486*45*48\/(-2680)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 + 4*i**2 - 4*i + 3. Let w be z(2). Let d = w + 8. Let x(m) = -4 - 4*m + 1 - 24*m**3 + 2*m + 25*m**3 - 2*m**2. Determine x(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 4*p**2 - 5*p + 2. Let g be w(5). Let s be (-9)\/15 + (-171)\/(-135). Which is smaller: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2560\/232 + 5 - (148 - 132).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-8)*32\/(-3). Calculate the greatest common divisor of 48 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-31\/3)\/t**44)\/(t**19*t**(-1\/2)\/t*t\/t**2) assuming t is positive.\nAnswer: t**(-425\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2043 is divided by 1012.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**5\/60 + w**4\/24 - 372*w**2. Let x(b) = -3*b + 4*b**2 + 0*b**2 + 0*b**2. Give -3*c(h) - x(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 2:23 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 + 5*f**2 + f**2 - 5*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -784 = -17*y + 83. Suppose 11*s = -78 + 210. What is the remainder when y is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6077, -6141, -6205, -6269, -6333?\nAnswer: -6397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 31 - 1. Let h = r + -13. Suppose -2*i + 0*i + 4 = -2*u, -2*u - 4 = 5*i. Which is the closest to 0.1? (a) u (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 3. Let v be r(-3). Suppose 2*m = -0*m - 6. Put v, m, 4 in increasing order.\nAnswer: m, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 4. Let u(y) = -16*y - 6. Let i be u(q). Suppose -4*f + 69 = 3*s + 15, -4*f - 5*s = -i. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 4219 = 985. Let j = b - 534. Solve 1 + 9 = -j*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25635 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 2 - 3 + 149*i - 148*i + 45 + 3.\nAnswer: i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 4*s + 7 + 1, 5*s + 12 = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 65*x**2. Let b(s) = 19*s - 3. Determine y(b(z)).\nAnswer: 23465*z**2 - 7410*z + 585","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13076 in -0.4, -0.1, -1, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjo when three letters picked without replacement from {j: 3, o: 1, v: 1, h: 5, k: 1, w: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 392.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -39. Suppose g*t - 6 = 4*z + 4*t, 4*t + 12 = 0. Suppose 61*u - 58*u - 66 = z. Calculate the greatest common factor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*x + 20, 4*q - 30 = x - 0*x. Calculate the greatest common divisor of 56 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217.21 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*y + 2036484 = -0*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 5 (c) -0.1 (d) 460\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 8*b + 15. What is i(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207, 961, 2781, 6201, 11755, 19977, 31401?\nAnswer: 46561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 - 40. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 139449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1743, 5\/29, -1\/5 in decreasing order.\nAnswer: 5\/29, -1\/5, -1743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-30)*2 + (-79)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2310854 or -14?\nAnswer: 2310854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -215, -778, -1717, -3032, -4723, -6790, -9233?\n\"Answer: -188*b**2 + b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -89842, -89749, -89608, -89395, -89086, -88657?\n\"Answer: 4*g**3 + 65*g - 89911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utttuuitttu. What is prob of picking 2 u, 1 t, and 1 i?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1678815 (base 9) in base 7?\nAnswer: 10655102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 + 51. Let x = 227 - o. Let f = -66 + x. What is the fourth biggest value in 13, f, 2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131 - 530. Let v = j - -399.000706. Round v to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 4:26 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/364187 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -444*j*o*w - j*o + 2*j*u**2*w - 21*o*u*w + 2*u**2*w + 4*u*w - 1 wrt j?\nAnswer: -444*o*w - o + 2*u**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380609 is divided by 95146.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u. Let f(d) = 0*d + 0*d - 5*d + 2*d. Suppose 0 = -m + 3*a + 21, -m + 2*a + 25 = -3*a. Let k = m - 9. Give k*r(l) + 5*f(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 900 = -4*n - 0*n, 2*t = -n + 240. Let d(v) = -v**2 + 4*v + 1. Let k be d(3). Find the second derivative of 245*y**4 + 0*y - 16*y - n*y**k wrt y.\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -12133102233230?\nAnswer: 12133102233230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 136110 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + i + 1. Let q(z) = 7*z**2 + 23*z + 4. Let r(l) = -5*n(l) + q(l). Let g be r(-9). Let w = 4 + g. Solve -w*s + 15 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20020110 + 120101?\nAnswer: -12200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -43128 divided by 6\nAnswer: -7188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 - 196*f.\nAnswer: -196*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 105335919?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2) + 1 - (sqrt(52)\/sqrt(4) + -1))**2 + (sqrt(1573) - (sqrt(1573) + 0)**2*5) + sqrt(1573).\nAnswer: -7861 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 40. Suppose -3*v + 100 = v. Let a = v + p. Calculate the highest common divisor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 2:28 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**5\/4 - 3342177*t**4\/4 - 9*t**3\/4 + 10026525*t**2\/4 + 3342177*t\/2 = 0. Calculate t.\nAnswer: -1, 0, 2, 1114059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -472977778 - -257740026. Let r = -138237749 - l. Suppose 0 = -4*n + 8*n + 2*t - 61599994, 5*n = t + r. Round n to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 80*n - 15363. Give q(204).\nAnswer: 957","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*m = 121940, -4*r = 187*m - 190*m - 97552. Is 134 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -19\/41326339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 22*b + 62. Let k be t(-19). Solve k = 5*n - 0*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509527070 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1002249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-29)\/(-87)*54\/3. Solve -48 = 6*b + l*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11537427*z - 17529434.\nAnswer: 11537427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5185, -5182, -5177, -5170, -5161, -5150?\n\"Answer: k**2 - 5186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -33. Let l be 1 + -1 + (154\/(-22))\/(-7). Is l*b\/3*(-18)\/6 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/3)\/(-15 + ((-57757)\/105)\/(-37))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) + sqrt(6)\/sqrt(2))*-4 - (sqrt(12) + 1)) + 0)*6.\nAnswer: -60*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 7 - 39 = -4*v, 10 = 5*v - 5*i. What is the smallest common multiple of 22 and v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.5899992371 + -10.59. What is n rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 34*l**2 + 3*l - 61. Determine h(-34).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112110010 - 1100021210?\nAnswer: -210211200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1203 + 2304133?\nAnswer: 2310341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, e: 2, v: 1}. What is prob of picking 1 e and 2 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 3995651\nAnswer: 3995651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**3\/2 + b**2\/2 - 69*b - 2. Calculate n(9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**3 - b**2 + 6*b + 9. Let x(f) = 3*f**3 + f**2 - 5*f - 7. Determine -4*u(r) - 5*x(r).\nAnswer: r**3 - r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 153\/2)*160\/24. Let z = -275 - b. List the prime factors of z.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1529 - 8?\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7970*i + 53*i**2 + 7970*i.\nAnswer: 53*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 4*n**2 - 2*n - 10. Determine p(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + 15. Let h = c + -15. Let a = 25 - h. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068 - -129?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -262\/5 - -52. Let t = -0.06 + -0.09. Let s = -0.15 - t. Which is the third biggest value? (a) -0.1 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7106 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -395, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p - 5. Let m(g) = 16*g - 5. Let x be m(1). List the prime factors of h(x).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499 - 6.4?\nAnswer: 1492.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 229*a - 5. Let c be d(2). Suppose 55 + c = 4*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 12 + 1 + 25 + -27?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146303, 146279, 146255?\nAnswer: 146231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + l - 2*l)*(-2 + 3 - 4)*(-4 + 0 + 2)*(l - 6 + 6) to the form i*l**2 + d*l + u and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 2*i**2 - 6*i - 7. Let s be f(-3). Let u be (6 - (s - -4))\/(-1 + 2). Suppose d + 4*d = u. Which is the nearest to -1? (a) -0.5 (b) d (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 2*k + 1. Let l be p(-1). Suppose 2 = -l*j + 2*j. Suppose -8 = -3*q + 5*q + 4*v, 5*q - 25 = 5*v. Solve q*i - j - 1 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15021455 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 861 + -646. Calculate the remainder when a is divided by 74.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**3 + 3467*x**2 - 4760*x - 152724 = 0.\nAnswer: -1157, -6, 22\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1565031 and 44187?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-9)\/(-6) + (-33)\/18). Suppose 0 = n*q - 6*q + 1761. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10+898.7\nAnswer: 908.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 35. Let t(g) = g**2 - 6*g - 4. Let c be t(n). Suppose 2*h = -c*j + 28, 5*h + 26 - 71 = -5*j. Solve -u + j = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**4\/3 - d**3\/6 + d**2\/2 - 4*d. Let z be j(2). Let c = 19 + z. Let p(g) = g + 1. Determine p(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -14. Let i(y) = y**3 - 9*y**2 - 15*y + 35. Let t be i(10). Let w be (5 - 92\/20)\/((-24)\/t). What is the nearest to w in 0.2, -1, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -144 (c) 0.2 (d) -2\/17 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2094 - 19 = 135*q + 1127 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**5 - 668*c**4\/3 - 1272*c**3 + 18548*c**2\/3 + 9754*c + 2520 = 0.\nAnswer: -105, -9, -1, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 37 (b) 0.1 (c) 3 (d) 60\/13 (e) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 1\/3, -548, 17?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6072210 + -242?\nAnswer: 6071746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*l**3*n**3*z + 125*l**3*n*z**2 + 2*l**3*z - 3*l**3 - 3*l**2*n**3*z**2 - 4*l*n**3*z wrt z.\nAnswer: 250*l**3*n - 6*l**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/1)\/(-36))\/(2\/8)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, o: 4, t: 3}. What is prob of sequence ogt?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from ulzllluzzlluzululll?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 66*k**2 + 1. Let r(y) = 25*y**2 - 6. Give r(a(c)).\nAnswer: 108900*c**4 + 3300*c**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*(-20)\/(-1890))\/((-2)\/(-6)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 13) to base 9\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4)\/(2\/(-56)). Suppose 8*g = -g + o*g. Solve g = 5*j - 4*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 370 - 365. Let l(x) be the first derivative of -z - 4\/3*x**3 - 1\/5*x**5 + 0*x + 0*x**4 + 0*x**2. What is the third derivative of l(a) wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**1)\/(r\/(r*r**(-4))*r)*r*r\/(r\/(r\/((r**4\/r)\/r)))*r\/(r**(-5)\/r*r))**(8\/9) assuming r is positive.\nAnswer: r**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -1058\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -14 + 25*g + 10*g - 34*g. Let w be l(13). Let c(i) = 0*i + i + i + 1. Give c(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**4 + 5*h**2 - h + 3*h**4 - 7*h**4 - 2*h**2 as a*h + s*h**2 + q + j*h**3 + u*h**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 - 9*a + 29. Let d be u(5). Let f = d - -206. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)*h)\/((h\/(h*h**(4\/13)*h))\/h)*(h\/(h*h**(-1\/21)))\/(h**(1\/3)\/h) assuming h is positive.\nAnswer: h**(-89\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-19 + -3)\/(2 - 4) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 3696 = -21*z - 1192*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15364 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 672*o**4 - 65*o**3 + 13*o**2 - 13*o - 73. Let r(m) = -112*m**4 + 10*m**3 - 2*m**2 + 2*m + 12. Let v(g) = 39*r(g) + 6*x(g). Differentiate v(a) wrt a.\nAnswer: -1344*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 24*p + 87. Sort p, -38, -5 in increasing order.\nAnswer: -38, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15838 - 16192.7. What is g rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1930657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (65\/(-10))\/(-13)*2. What are the prime factors of -5 - (-5 + -1566 + y)?\nAnswer: 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10, -51, -116, -205, -318?\n\"Answer: -12*l**2 - 5*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 5, c: 8}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -665*l**4 + 24 + 330*l**4 + 4*l**2 + 332*l**4 - 2*l**6 + 6*l**6 wrt l.\nAnswer: 480*l**3 - 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -914*v - 14. Let g(d) = 305*d + 5. Determine -11*g(q) - 4*n(q).\nAnswer: 301*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300718 is divided by 17689.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/102 and 73\/170?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*r + 114*r + 25*r + 89*r + 20*r.\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1771 + 1771. Let o be 8\/36 + (-2)\/4. Is o < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*u + 733*u + 1 - 87*u - 1 as y*u + b and give y.\nAnswer: 521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3667587 + -710894.3.\nAnswer: 2956692.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/25*60\/(-32).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h**2 + 6*h - 45. Let t be d(4). Suppose t = 11*w - 86. Calculate the remainder when 73 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 p when three letters picked without replacement from pjkkddpjpkkvjjzjkddd.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8326 divided by -46.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473182.\nAnswer: 2, 103, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -281961*y. Let m(l) = -13*l**2. What is m(x(o))?\nAnswer: -1033526071773*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-27) - ((-125)\/(-9))\/(-5). Let m(w) = 0*w**3 - 14*w - 12 - w**3 + 2*w**q - 19*w**2. Is 36 a factor of m(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (2 + -2)) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - -76. Suppose -4*h + f = -0. Suppose 5*x - 2*x + 3 = 0. Sort h, 4, x in descending order.\nAnswer: h, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**4\/12 + t**3\/6 + 7*t**2 + t. Does 4 divide j(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -10.3888?\nAnswer: 93.4992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-288)\/(-2) - (-10 - 78\/(-13)) is divided by 47?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2257\/616 + -431\/132. Let g = -25357\/24 + 1057. Let z = h + g. Find the common denominator of -32 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -8. Let s be -2 + (l + 26)\/(-3). Let g(d) = -d**3 - 9*d**2 + 8*d - 8. List the prime factors of g(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -585*x**5 - 2*x**4 + 3*x**3 - 3*x**2 - 2083 wrt x?\nAnswer: -35100*x**2 - 48*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**7\/60 + 71*v**4\/24 - 15*v**3\/2 - 70*v. Let l(u) be the second derivative of w(u). What is the derivative of l(p) wrt p?\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5956 + -5953. Sort -2\/7, k, -1\/4, 1\/151 in increasing order.\nAnswer: -2\/7, -1\/4, 1\/151, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 6:19 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 146.\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**4\/4 - i**3 - 4*i**2 - 6*i - 1. Suppose -10 = -2*v + 4*p, 2*p = 4*v + 4*p - 20. What are the prime factors of k(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 17*t**2 - 170*t + 3012. Let y be n(16). Determine x so that y + 6*x + 1\/4*x**2 = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62673.7 to the nearest 1000.\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 5*z - 208. Suppose 15 + z = 5*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-2*8\/((-32)\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 0.3, -0.2, -2, -0.23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.16 rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6956 is divided by 367.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 2:54 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k. Let j be (-4)\/10 - (-27)\/(-45). What is w(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 - 67. Suppose 4*l = l + 9, -5*q - 4*l = -r. Suppose -d + 2346 = q*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 15*j**2 - 3*j + 15.\nAnswer: 3*(j - 5)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a (base 11) to base 8.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 726713484 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p + 246 - 22 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*z - 3*z + 10, -3*h + 40 = 2*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 372, 565, 748, 915, 1060, 1177, 1260?\nAnswer: 1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in -3, -0.4, 2\/23, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 26. Let v be 28 + (-1)\/2*-10 + r. Calculate the greatest common factor of v and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11896 - -11896.00001005. Round m to seven dps.\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6582*a - 3295*a + 3 - 3287*a + 8*a**3 - 3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 72 + 2*z + 4*z**2 + 72 + 33*z**3 to u*z**2 + c*z + l*z**3 + j and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584 = -725*l + 2817 + 436 + 956 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -100 or -102?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b**3 - 15*b**2 - 12*b + 2. Give d(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 124506180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17637 is divided by 188.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 425067403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1691.6 to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10421*3\nAnswer: 31263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s + 10. Is i(17) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49327*a*k**2 - 10*a + 2*k**2 + 3338*k + 32 wrt a.\nAnswer: -49327*k**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7254 and 11891997.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-5*x**3 - x**3 + 5*x**3) - 19*x**2 - 5*x**3 + 19*x**2 - 32*x**2 - 24*x**3 + 32*x**2.\nAnswer: -31*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*k + 142, 0 = -3*k + 6*k - 2*t - 94. Let d = k - -1. Suppose -2*s + 4*p + 35 = s, 4*p = -3*s + 67. What is the remainder when d is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -589, -1\/4, -1\/6, -0.2, -20?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 40789 + 365471. Let p = 403130 - x. What is p rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222 and 2960.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 101*x - 103*x. Suppose -226 = s - x. Which is smaller: 2\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364490 a multiple of 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpqpxpmqdxbxddq. What is prob of picking 1 b and 1 q?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4\/7 - 24*r**3\/7 - 145*r**2\/7 - 282*r\/7 - 160\/7 = 0. Calculate r.\nAnswer: -16, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 4. Let f be s(6). Suppose 4 = -f*x - 2*x. Let t = -971\/7 + 139. Which is bigger: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/16*-2*20)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 1004*u - 5032. Give n(5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1534?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14259.\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1787431 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -30*a**2. Let h(i) = 1842362*i**2. Calculate c(h(d)).\nAnswer: -101828932171320*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -8. Suppose 0 = q - 4*q + 69. Suppose x - q = g. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1\/3, 5, 0.35?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*((-15)\/(-5) - (3 - -2)). Solve 7*n - r = 6*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 13*m + 11. Let i be h(12). What is the common denominator of 97\/18 and 1914\/(-242) - (-4 - i)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.9? (a) -1 (b) -11 (c) 0.4 (d) 14\/3 (e) 0.2 (f) -1.62\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -2*z - 2*m - 354, 0 = z - 5*m - 75. What is the lowest common multiple of 50 + -39 + 15 + (-3 - -17) and z?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-9)*3 + 1. Suppose i = r - 3*w - 6, 4*w = r + 3*w - 2. Suppose k - 5*q + q - 15 = r, 0 = -2*k + 3*q + 30. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, 0.2, 2, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3008 + 3007.7. Which is the nearest to 0.53? (a) v (b) -1\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + d. Let c be y(-4). Let x = 1479 - 1097. Suppose -s + c = -x. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l - 6 + 60 = 0. Suppose 4*t = -4*k + 1424, 5*t + 60 - 1840 = -l*k. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -43, -81, -137, -217, -327, -473, -661?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 7*f - 3*l - 575, 5*f + 5*l = 710. Let w = 4 + 35. What is the highest common divisor of f and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 1153, 4020, 9623, 18874, 32685?\nAnswer: 51968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -1. Let z = 11 + -10.3. Let q = z - m. Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-9)*((-96)\/4)\/4. Suppose -z = -0*o - o + 82, h*o - 336 = 2*z. Suppose v - 2*s - o = 0, 3*v - 78 = -4*s + 190. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0176 (b) 0.5 (c) -7 (d) -0.23 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3831069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32237 * 0.0372.\nAnswer: 1199.2164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134 (base 6) in base 8?\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-1)\/22 + 224\/22?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 9*j**2\/2 - 7*j + 1. Let h be v(5). Suppose 3*k + 29 = 3*q + 7*k, 3*q = 5*k + h. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(-3\/2)*(k*k**(1\/3))\/k*(k*(k**(1\/2)*k)\/k*k)\/k*k**6 assuming k is positive.\nAnswer: k**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 6*r**2 + 0*r**5 + 0*r**3 + 0 + 0*r - 1\/120*r**6 + 1\/24*r**4. Let u(d) = 4*d**3 - 7*d + 1. Calculate -u(a) - 6*z(a).\nAnswer: 2*a**3 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11426 or 11425?\nAnswer: 11425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -646*c + 2. Let i(p) = 378*p. What is i(y(u))?\nAnswer: -244188*u + 756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3463 <= 17309\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**2 + 52*r + 145. What is the units digit of l(-43)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 3 (b) 143 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 12 = l. Let r be (-2)\/l*(-42)\/7. Solve r = g + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 489073783?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3324949193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114756 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -864 - -847.0224. Let q = r + 17. Let h = 0.029 - q. Round h to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*t**3 - 6*t + 38*t**3 + t - t**4 + 1 + 7*t in the form c + r*t**3 + m*t + j*t**4 + b*t**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65875751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 3:38 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 46*r**2 - 254*r + 339. What is k(-39)?\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 220 - 221. Is (r - 685\/(-35))*7 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1102, -2096, -3088, -4078, -5066, -6052?\n\"Answer: f**2 - 997*f - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 + 272*b + 4356. Determine q(105).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142\/(-4)*(0 + -1 - 1) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20874 divided by 147?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23327727 and 11184?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**4\/8 + 17*p**3\/6 + 145*p**2. Determine b(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -634, -1009, -1370, -1717, -2050?\nAnswer: -2369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2219.\nAnswer: 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 678331*b + 2 - 291*b**3 - 678331*b + (0*b**2 - b**2 - 4*b**2)*(-b - b + 0*b).\nAnswer: -281*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000013716563 rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27067904 divided by -1691744?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 7*c**2 + c + 8. Let l be v(-7). Suppose -l = -0*n - n. Suppose -3*j = -d - 3*d + 5, -3*j + 30 = 3*d. Solve 0 = -4*w - n + j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4*d - 11 = 0, -5*c + 95*d = 98*d - 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -57. Suppose 2*p + 0*d + 2 = -2*d, -4*p + q = d. Calculate the remainder when p is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 8. Let z(d) = -d**3 - 3*d**2 + 1. Let i be z(-1). Which is the nearest to -0.1? (a) i (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 + 95. What is the least common multiple of 15 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4955*s - 3158*s - 26421*s - 2 - 16690*s)*(-s**4 + s**4 - s**4).\nAnswer: 41314*s**5 + 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1570 (base 9) to base 11.\nAnswer: -999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*o = -2*b + 62*o + 88, 0 = 3*b + 2*o + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n. Let z(u) = 76*u + 56. Let j(p) = -12*q(p) + z(p). Calculate j(-19).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4372, 17494, 39366, 69988, 109360, 157482?\nAnswer: 214354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 9 + 9)*(0*n**2 + 3*n**2 + n**2)*(4 - 4 + n) to the form a*n**4 + g*n + p*n**3 + j*n**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001267 rounded to six decimal places?\nAnswer: 0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50471 = -3*h + 4*h + 2*q, 3*h = -2*q + 151425. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, 1, -82, -4, 5, 0 in descending order.\nAnswer: 5, 1, 0, -4, -82, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17337085 and 3620?\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4270800 and 3149715?\nAnswer: 251977200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2090\/197505*(-6)\/(8\/4)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-20)\/6 - 22\/(-6). Let c = -8 + 10. Solve -3*j - 5*i = 4, n*j - 2 + 12 = -c*i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*p**2 + 64*p**2 - 25*p**2 in the form i*p + q*p**2 + d and give q.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 3, -32, -105, -228, -413, -672?\nAnswer: -1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**3 + 8*x**3 + x**3 - 5*x**3 + 15*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 plus 1046308?\nAnswer: 1046307.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 3*d + 2*d)*(-645*d + 77 + 321*d + 327*d).\nAnswer: -3*d**2 - 77*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -100 + 16. Suppose -b - 3*b + 16 = 0. Let i = b - -17. Calculate the highest common divisor of q and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*m - 3*m - 3*m + (-2*m - 1 + 1)*(-1 - 2 - 1) - 4*m - m + 2*m + 3*m + 9*m - 18*m + (-2 + 2 - 1)*(0*m + 0*m - m) - 3*m + 2*m + 3*m + 2*m - m - 3*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k**2 + 0*k)*(0*k + 0*k + 2*k) - 10*k + 10*k + k**3 + (k + 2*k - 5*k)*(k**2 - 2*k**2 + 2*k**2) + k**3 + 0*k**3 + k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.48252 and -12.\nAnswer: -3.51748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -728.2 take away -0.2?\nAnswer: -728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f + 14. What is l(-8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -75, -42, 5, 66, 141?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.68 + 44.68. Let l = p - 37. Which is greater: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i - 3*v - 21, -3*i = -v - 27. Calculate the remainder when 39 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -3*r - 2*n, -n + 94 = 4*r + 2*n. Solve 4*z + r = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 22*g + 660. Is 52 a factor of (-1 - 41)*(5 + 451\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p = -38*p + 4755. Find the third derivative of -p*l**2 + 19*l**4 + 980*l**2 + 2*l - 2*l wrt l.\nAnswer: 456*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-61 + 88)\/(1\/(0 + 1)). Solve -2*i = 4*n - 26, -3*n + 0*i + w = 4*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((2*sqrt(136) + sqrt(136) - sqrt(136) - sqrt(136))*-1)\/sqrt(8) + -1) + 0 + (sqrt(2057) + 2 - (sqrt(170)*-4)\/sqrt(10)).\nAnswer: 3 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*w = -149 - 81, 0 = 5*k + 2*w - 1168. Let j = -711 - -717. Calculate the highest common factor of j and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)\/(sqrt(81)\/sqrt(9)) + sqrt(50))\/(sqrt(10) - (sqrt(10) + 2*sqrt(490))))**2 + 4.\nAnswer: 201\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssdsiosodsogoos. What is prob of picking 2 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 + -2.09. What is the biggest value in l, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-4)*(-4)\/(-5). Suppose -i - 5*p = -0*i, p = -b*i. Suppose -3*n = -z - 4*z - 80, n - 5*z - 40 = i. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 985 + -972. Let b = 0 + 4. What is the remainder when l is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*r = 564 - 2, 0 = 2*b - 5*r + 275. Do b and -138 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655 a factor of 558643860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llelklkklhllhhclkll. Give prob of picking 2 l and 1 e.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 310 and 1813965.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 2:01 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 117\/212500 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 15*y + 764 = 13*y, 0 = 7*m - 2*y - 1337. Put 3\/7, -1, 0.3, m in increasing order.\nAnswer: -1, 0.3, 3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2))**42*y*y**(-4)\/y*y\/((y*y**(2\/7))\/y)*(y\/(y*y\/y**(1\/2)))**(-27)*(y**(1\/4))**(-35) assuming y is positive.\nAnswer: y**(-547\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 533 = 557 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -10. Let t(u) = -2*u + 2*u - u - u**3 + 3 + 0*u**z. What is t(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3\/4*b - 1\/4*b**2 + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t - t**3 + 8 + 4*t - 7*t**2 - 13*t - t**2. Let l be n(-6). Let c be 34\/l - (-6)\/8. Solve 2*a = c*r - a + 29, 0 = -3*r + a - 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -358.68 - -237.504. Let s = d - -123. Let q = -0.076 - s. Which is the second smallest value? (a) 2 (b) q (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 2. Suppose -19 = -2*l + g, 5*l - 3*l - 5*g = 39. Let c = 20 - l. Calculate the remainder when c is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-58)\/(-29))\/(-7 - 1))\/(-22*5\/(-480))\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/b**(-17\/2)))\/b)\/b**(-6\/11)*b**(-2\/13)\/((b*b**8*b*b*b)\/b) assuming b is positive.\nAnswer: b**(-5465\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 34*l = -133353. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211882971?\nAnswer: 3, 70627657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -49 - (-7 + (7 + -11 - -10))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*q**2 - 38*q**2 - 38*q**2.\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/338980 and -19\/3230280.\nAnswer: 54914760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005434888 rounded to 7 decimal places?\nAnswer: 0.0000543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 158963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4749*b - 332430. Determine a(-70).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8200\/3 + 2766. Let c = x - 33. Suppose -3*u - 5*v = -8*v + 6, -2*v + 4 = -3*u. Which is greater: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15952.\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53024147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.82 take away 11.87024?\nAnswer: -106.69024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 0 + 0)*(52*p**3 + 1621*p - 1621*p) to the form y*p**4 + w*p**3 + h*p + j*p**2 + i and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5772 - 1569. Suppose -h = 5*k - w, -5*k + 1341 + 2856 = 4*h. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1219\/(-161) + 6\/(-14). What is the nearest to -1\/4 in 3, 0.1, -2, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2953245 and 852.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/131, 1\/10, 54\/19, -2\/335.\nAnswer: -8\/131, -2\/335, 1\/10, 54\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1388, -2798, -4214, -5636, -7064?\n\"Answer: -3*x**2 - 1401*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16608.413 less than 36.975?\nAnswer: 16645.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 2*h + 3. Suppose 2*y + 24 = -5*q + 7*q, 5*y + 81 = -2*q. Let a = y + 17. Let k be v(a). Solve -3*x = 9 + k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2073*z - 744. List the prime factors of p(6).\nAnswer: 2, 3, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18429.863 + -10.863. Let c = -18419.8843 + h. Round c to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from {b: 4, y: 2, t: 8, d: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -5*h**3\/2 - 11*h**2\/2 + 12*h. Let o(m) = 8*m + 6. Let r(p) = 6*b(p) + 11*o(p). Let a(s) = -3*s. What is -5*a(x) + 7*r(x)?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 2. Suppose 3*f = 6*f. Let r(p) = 0*p + f*p + 2*p - 3*p + 5 - 2*p**2. Let q(k) = -2*r(k) - 5*v(k). Find the second derivative of q(o) wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/320*16*(-11)\/1*-2.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 11 - 10. Let u = 6 + g. Let r(i) = 8*i - 2. What is the remainder when r(5) is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**5 + 69210*b**4 - 239639580*b**3 + 957658790*b**2 - 718088415*b = 0. Calculate b.\nAnswer: 0, 1, 3, 6919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a hour in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11225526 rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 5*w**2 - 15*w - 4. Let p be l(-7). Suppose -5*r + 16 = -r. Is p at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1 - 1) + (4 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 7*p - 3. Let m = 86 + -77. Suppose -2*h + 4*k = 2*h - 192, 0 = h + 2*k - 48. What is the remainder when q(m) is divided by h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -626344*g**2 + 1604422 wrt g.\nAnswer: -1252688*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 8. Suppose -x + 6 + w = 0. What is the least common multiple of x and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2508)\/(-95))\/(123\/(-205))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 1 - 0. Let y = -11 - -7. Let d = -5 + 6. Sort d, y, f in increasing order.\nAnswer: y, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a millennium?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -20. Suppose 12*y = a*y + 420. Suppose -5*u + 2*p = 6*p - 98, 2*u + 3*p - y = 0. Solve u + 2 = -5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/11 (b) -4.3 (c) 1\/4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t - 307 - 1243. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2363*r + 115. What are the prime factors of w(-2)?\nAnswer: 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11652 + -3821. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 503247 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen quarters of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -3*b, -b - p - 6 = -11 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30 - -3a?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81970979\/38 + 2156655. Let c = -476 - v. Let q = 119\/190 - c. What is the second smallest value in q, 1, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(12) + -1)**2.\nAnswer: -sqrt(3) + 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46778422 to the power of 1\/2, to the nearest integer?\nAnswer: 6839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.29 + 0.4. Let g = 958004 - 958003.109983. Let i = a + g. Round i to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(((-4)\/(-40))\/(-1)). Suppose 5*z = -35 + k. Let d be -1 + -2 - 16\/z. Put d, -0.06, 0.4 in decreasing order.\nAnswer: 0.4, d, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79.4 * 0.2.\nAnswer: -15.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/42 and 121\/20.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 106*y**4 - 3*y**3 + y**2 - 3*y + 7. Let h(w) = w**4 - w**3 - w**2 - w + 1. Let s(b) = a(b) - 3*h(b). What is the third derivative of s(j) wrt j?\nAnswer: 2472*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-18))\/(260\/78)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7598875 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 41 = 133. Is 50 a factor of (3 - 45\/9) + d*15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -46*d + 14. Let r be t(-4). Suppose 4*f - 3*g + 247 = -0*g, r = -3*f - 2*g. Let w = 65 + f. Is w <= 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: c678 (base 14) to base 9\nAnswer: 51831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o**3*x**2 + 6*o**3*x - 6*o**3 - 49*o**2*x**2 - 3762*o*x**2 - 28030*o*x - 3*x wrt x?\nAnswer: 8*o**3 - 98*o**2 - 7524*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 0*p**2 - 1\/2*p**5 + 3*p**3 - 1\/2*p**4 + 4*p + 0 - 1\/15*p**6. Factor n(m).\nAnswer: -2*m*(m - 1)*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 12. Suppose 2*g = 3*p + 33, 0 = -n*g + 2*g + 5*p - 57. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 266*v - 266*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*w**4 + 1 + (-w**2 + 3*w**2 - 4*w**2)*(w - w + 2*w**2) - w**4 + 0 + 0 + (-w**2 - 5*w**2 - 3*w**2)*(325*w**2 + 282*w**2 - 367*w**2).\nAnswer: -2167*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 660 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {v: 2, b: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, n: 2, s: 8}. Give prob of sequence nn.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 586747 at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 27. Let w be y(-11). Let v = w - 36. Is 42 - (-2 - (-3 + v)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**2*v**3 - 15*g**2*v - 2*g**2 - 95*g*v**3 - 7*g*v + 4*v wrt v.\nAnswer: -18*g**2*v - 570*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5 + 108*c**4 + 351*c**3 - 1038*c**2 + 576*c = 0. Calculate c.\nAnswer: -32, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22574 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**2 - 95*l - 3. Let x(a) = -a - 1. Let t(w) = u(w) - 3*x(w). Factor t(p).\nAnswer: -4*p*(p + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344*v - 342*v = 1802. List the prime factors of v.\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 23. Let y = -4 + r. Calculate the common denominator of 85\/8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 675762277?\nAnswer: 675762277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -a + 2*p + 2, -4*a - 2*p = 16. Put a, 6, -2, -5 in descending order.\nAnswer: 6, -2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 20 = -0. Suppose 0 = -s*m - 4*h + 284, -m = -h + 3*h - 72. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppoooopoooopo. What is prob of picking 3 o and 1 p?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17 + 5)\/(0 + -2 - 8). Factor -6\/5*i + c*i**2 - 2\/5*i**3 + 2\/5.\nAnswer: -2*(i - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 9*a - 10. Let i be v(10). Solve -t + i*t = -2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*3\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 1 - 13 = 0. Solve -3*j = s*j - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 291432?\nAnswer: 1457160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 83953254 to the power of 1\/2, to the nearest integer?\nAnswer: 9163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5bc9c + 3?\nAnswer: 5bca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39457166911*q**3 - 3 + 39457166912*q**3 + 3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 260800*h**2 + 12*h - 4931?\nAnswer: 521600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 18 - 145*c**3 + 143*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1851*x - 11603. Is 28 a factor of s(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89647, -89650, -89687, -89776, -89935, -90182?\nAnswer: -90535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 - -78. Suppose 0 = -2*x + h*i - 533911 - 1586083, 0 = -2*x + 5*i - 2119985. Round x to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -13. Suppose -q*a + 7*v + 544 = 3*v, v = 5*a - 1324. Round a to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 61*f**7\/105 - f**4\/6 - 6058*f**3\/3 - 5827*f**2 - 2*f. What is the derivative of g(c) wrt c?\nAnswer: 488*c**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 j when three letters picked without replacement from jyjjjwyyjjjjwlnjj?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, t: 1, x: 1, b: 1, y: 2, n: 4}. What is prob of sequence txy?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7*(-6)\/9)\/(4\/6) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 0*f**3 - 7\/15*f**6 + 0*f**5 + 0 + 8*f - 13\/12*f**4 + 0*f**2. What is the third derivative of i(q) wrt q?\nAnswer: -336*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 66 = 4*q. Let l be q\/35 + 2\/(10\/1223). What is the greatest common divisor of l and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 48. Is ((-11)\/2 - c)*4062\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 1221?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 6*i - 2*i - 413, 5*i - 415 = -3*r. Suppose 5*o = -3*q + 405, -q = -3*o + o - r. Calculate the greatest common divisor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.6, 1, 4120, 19.1 in ascending order.\nAnswer: -1.6, 1, 19.1, 4120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3866*a**4 + 357 wrt a.\nAnswer: 15464*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1836 and -812981.\nAnswer: -811145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 4:40 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = t + 7 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 2\/(-24) + 2285\/60.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -19*u**8\/560 - u**4 + 58*u**3\/3 - 20*u**2. Let y(v) be the first derivative of i(v). What is the derivative of y(l) wrt l?\nAnswer: -228*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**3 - 6*u**2 - 23*u - 1. Is b(-7) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-11))\/(((-8)\/3)\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -2060507?\nAnswer: 2060502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 16 + 13 - (1 + (3 - 2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -950.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.349 - 3.33463.\nAnswer: -20.68363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -8. Suppose -m + 2 = z. Calculate the remainder when (-42)\/m - (9 + -6) is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c + g + 13, -c = 2*g + 6. Solve c*o + 3*p - 9 = 4*p, -5*p = -5*o + 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96047.\nAnswer: 7, 13721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57 - -44) + (7 - 39) + 10.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/8*(-1)\/(-3). Let r = 19 + -23. Let o = -7 + 6.7. Which is the second smallest value? (a) r (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v - 2*v - 3*v)*(v + 2*v - 4*v) - 319252*v - 5*v**2 - 319292*v + 638774*v as c + h*v**2 + x*v and give x.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 35\/50*-1*(-85)\/34\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 177636 - 177636.01. Let w be (-3)\/(-5)*(-2)\/6. What is the closest to -2 in 3, w, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 20*t - 991. Calculate j(23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 917145*k.\nAnswer: -5*k*(k + 183429)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 + 3*x**2 - 2*x**2 - 2*x**2 - 2*x**2 + 3*x**2 + (-1 + 6 - 3)*(-x**2 + 4*x**2 + x**2) to the form t*x**2 + v + p*x and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 238 and 2121046?\nAnswer: 252404474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 + 3*s**2 - 4*s + 3. Let g be y(-4). Let t = 1519\/8 - g. Find the common denominator of (-305)\/(-55) - (0 + 1) and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -604.69324 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 3.08, 2\/7, -27, 47?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/7611 or 1?\nAnswer: 14\/7611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 2.81.\nAnswer: 0.0281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0. Let t = 12.42 - 12.22. What is the second biggest value in t, 3\/4, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16145, 24911, 33679, 42449?\n\"Answer: c**2 + 8763*c + 7381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.08 - -15.08. Put 2\/19, 7, z in decreasing order.\nAnswer: 7, z, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/(i**(-1\/3)\/i))\/i*i)**(3\/31)*((i\/(((i*i**5*i)\/i)\/i))\/i)\/(i\/(i\/(i**0\/i))))\/((((i**(2\/3)*i)\/i)\/i)**12)**(-20) assuming i is positive.\nAnswer: i**(-2594\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136 and 170.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 7*s**2 + 4*s + 3. Let p be v(7). Let c = p + -8. Solve -w = -5*w + 5*z - c, -2*w = 5*z - 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201119*b + 16465 = 201564*b for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 30*h**2 - h - 33. Determine r(-30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2)*-6 - ((-3 - -10) + -5). Let i(c) = 40*c - 16. Let k(p) = -13*p + 5. Suppose 64 = -3*m - m. What is m*k(j) + q*i(j)?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 29*p - 28*p - 171, -4*d - p + 337 = 0. Suppose 649 = 4*j - d. What is the remainder when j is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 6, k: 4, i: 2}. What is prob of sequence kd?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**2 + 6*g**2 + 8*g**2)*(-1 + 1 - 2*g) + 17*g**3 - 5*g**3 + 6*g**3 to the form k*g**2 + q + m*g + f*g**3 and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uui when three letters picked without replacement from {u: 7, i: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(242) + 1 + 0 - sqrt(242))**2 + (sqrt(242) + -3)**2*-6 + 1)*2 + 0).\nAnswer: -15040 + 3960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**3 + 2*m**2 - 3*m - 4. Let p(d) = -8*d**3 + 7*d**2 - 9*d - 13. Let j(c) = 7*f(c) - 2*p(c). What is the units digit of j(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(-34*s + 30 - 15 - 14) in the form w + a*s and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 7*h**2 + 5. Let b be z(7). What is the second derivative of 3*c**b - 9*c**5 + 9*c - c**5 - c**5 wrt c?\nAnswer: -160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 + 1 + 5*y - 5*y)*((-2*y + 2*y - y)*(0 + 0 - 1) + y - y + 2*y).\nAnswer: 9*y**4 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 0.0299109?\nAnswer: -1.0299109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7*z + 423. Determine y(-61).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2059 - -2052. Which is the nearest to 1\/3? (a) 5 (b) p (c) 18 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -135327 (base 8) to base 3.\nAnswer: -2102121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - -153?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/35 - (-12)\/(-21). Let g(i) = -13*i. Let l(k) = -80*k. Let q(d) = -25*g(d) + 4*l(d). What is q(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232, 230, 240, 268, 320, 402, 520?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 81*y**4\/7 + 17331*y**3\/7 + 33786*y**2\/7 + 16536*y\/7 = 0. What is y?\nAnswer: -212, -1, -26\/27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 417625 and 4369?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6133, 8, 20, -4, 6.\nAnswer: -4, 6, 8, 20, 6133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaqaaqpqaaqaaqaaqa. What is prob of sequence qpq?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24, -23, -22?\n\"Answer: a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and 294639?\nAnswer: -9428448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/3 in -4, -2\/573, 0.3, 0.1, -3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1 + 11 = 0. Let c = -139 + 142. Sort i, 7, c, 5.\nAnswer: c, 5, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**(10\/7)\/a*a)\/a*a)**(-22)*(((a\/a**(-19)*a)\/a*a)\/a*a)\/(a**1*a) assuming a is positive.\nAnswer: a**(-395\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -9, 3829, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/76 + -4\/19. Which is the fourth biggest value? (a) 35 (b) 4\/7 (c) -1\/6 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5\/(w**6\/w))**(-24\/11)\/((w**(-3)\/w*w**(-6))\/(w*w**(-2\/5)*w*w**3)) assuming w is positive.\nAnswer: w**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*u + 10, c - 5*u + 18 = -7. Let x be 4 - c*1\/4. Calculate the highest common factor of 20 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**3 - 3*y + 7. Let o(i) = 3*i**3 + i - 4. Determine -4*n(u) - 7*o(u).\nAnswer: -u**3 + 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -423 - -709. Let b = 441 - x. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*z**2 + 4*z**3 - z**3 - z**3.\nAnswer: 2*z**3 - 30*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -66. Calculate the greatest common divisor of m and 328.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39.0701 * -4.\nAnswer: -156.2804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000078 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*z - 25 = 0, -4*g + 7 = -2*z - 13. Solve 5*r - g + 0 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -4.9. Let l = 1915\/4 - 478. Let c = l - 1\/12. What is the nearest to 0.1 in t, c, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -27 + 135. Calculate the remainder when 47 is divided by 8\/(-3)*i\/(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 287 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 7 - 3*v**2 + 9*v + 6 wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -621828*n**6 + 278306*n**2 wrt n.\nAnswer: -74619360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 1 - 1)*(-2*p + p + 0*p) + 2 - 2 - p**2 + p**2 - 4*p**2 + 4*p**2 + 15*p + 12*p**2 - 15*p.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -1 (b) -2 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 1570250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/73 at least -30\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -394*a**3 - 485*a**2?\nAnswer: -2364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*k - 6, -3*r - 3*k - 2 = 2*k. Solve 0 = -p - 2*h + 4*h + r, 3*p - 3 = -2*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*x = -28, -423*x + 56 = -416*x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r**3 - 8*r**2 + 8*r - 3. Let u(b) = 121 + 5*b**2 - 347 - 9*b**3 + 114 + 114 - 5*b. Calculate 5*l(c) + 8*u(c).\nAnswer: -7*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0327 and -0.12.\nAnswer: -0.1527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -645 + 765. What is the smallest common multiple of l and 180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5 - 2409*u**4 + 83157*u**3 - 159091*u**2 + 78342*u = 0. What is u?\nAnswer: 0, 1, 33, 2374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870721 is divided by 217541.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y**(-4))*y**(-3\/5))\/(y**(-1)\/y*y**(-3)))\/(((y\/(y*y*(y\/y**(2\/5)*y)\/y*y))\/y)**(-7\/4)\/(y**(-4)\/y**(2\/7))) assuming y is positive.\nAnswer: y**(-83\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 4*o. Let p be n(-5). Suppose 4*t + t = p. Put -3, 5, t in descending order.\nAnswer: 5, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aggggyiagyyaa. What is prob of sequence yy?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 17*t**3 + 12. Let a(d) = 6*d**3 + 4. Let x be 2 - (2 - (5 + -1)). Determine x*c(l) - 11*a(l).\nAnswer: 2*l**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + 16*n**2 - 46*n**2 - 3*n in the form q*n + t + k*n**2 and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*f + 610 = -157 + 32 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 12:09 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-14)*-3*4\/(-36)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*y**4 - 1076*y**3 - 43267*y**2 - 145050*y + 45000.\nAnswer: -(y + 4)*(y + 75)**2*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-9)*-6)\/(8\/13788). Suppose 7*h - 2581 = z. List the prime factors of h.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/((sqrt(8)\/sqrt(2) - sqrt(4)) + sqrt(4)))\/(sqrt(108)*-2) + (-2 + sqrt(80)\/sqrt(4) + -2)*4)**2.\nAnswer: -760*sqrt(5)\/3 + 81989\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 88, 127, 146, 139, 100, 23, -98?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**4\/4 + 119*r**3\/6 - 84*r**2 + 2*r. Determine u(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54911?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 15*o + 196. What is l(21)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 + 11*f + 117. List the prime factors of l(17).\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11872 is divided by 5934.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 310.305 + -308.6. Is 1 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198 - (-131 + 127 - -74)?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - i - 3. Let d = -14 + 20. Suppose r = 3*r - d. Let c be z(r). Solve 0*w - 9 = c*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*p**3 - 2)*(-p - 2*p + 5*p + 0 + 0 + 2*p + (-3*p + 0*p + p)*(3 - 2 + 0) + 4*p + p - 6*p - 1 - 2*p + 1).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -450 + 33454540?\nAnswer: 33454050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 7*p**2 + 15*p - 21. Let f be a(5). Determine s so that -2\/5*s + 0 - s**2 - 1\/5*s**f - 4\/5*s**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 + 1 = 0. Suppose a + 0 = m. Suppose 12 = -q + a*q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24321917 is divided by 890?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -bcaa (base 15) to base 9\nAnswer: -60757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*l + 7860 = 81*l. Let y = l - 571. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - a)*(4 - 3 + 1)*(373*a + 61*a**2 - 373*a) as j*a + c*a**2 + m*a**3 + n and give m.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 6:59 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*n - 4, -3*n - 4*g = -5*n + 8. Solve -4*a = 2*t - a - 8, 2*a = n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107\/3 - 36. Let i = -2.8 + -0.2. What is the nearest to q in i, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.418 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24332 and 2528?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32907*m**4 + 323*m**5 + 32907*m**4)*(0 + 0 - 1).\nAnswer: -323*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -30*i + 65*i - 3 - 36*i. What is t(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -675 + 666 - (0 + 5 - (-71 + 17)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -52*w - 3. Calculate c(3).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -10*j. Let a(x) = -94 + 94 - x. Calculate n(a(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -35*w**2. Let j(v) = -v**2. Calculate l(j(d)).\nAnswer: -35*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05891 (b) 0.12 (c) -1\/3 (d) 2\/73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 657068 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/7))**43*(n\/(n*n**(-1\/3)))\/(n\/(n**5\/n)) assuming n is positive.\nAnswer: n**(715\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72552 and 1160?\nAnswer: 10520040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59283\/756 + -36 - 42?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 21664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444289 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -110011111011011000011 (base 2) to base 3\nAnswer: -10012110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14227\/28 + -508. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 5*b + 5. Let w(t) = 23*t**2 + 3*t - 6 - 3*t + 7. Does 5 divide w(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 8263*z**2 + 12398*z + 4133.\nAnswer: -(z - 4133)*(z + 1)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4) + 2 - sqrt(300)*2)**2 + 2*sqrt(75) + 2.\nAnswer: -66*sqrt(3) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 14 = 4. What is the remainder when 11 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 6*r - 45. Let g be o(-4). Suppose -3*h + g = -2*w, h + 2*w + 2 - 3 = 0. Solve -5*x - 37 = -h*d, -x + 10 = 3*d + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1200*y - 90 = -1191*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 + 28*s**2 + 29*s + 25. Determine n(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -449520 or -448887?\nAnswer: -449520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 330 + -323. Let q(w) = -w**2 + 5*w - 4. Let l be q(4). Suppose l = 4*c - 35 + b. Which is bigger: 8 or c?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2276*f + 16808 = 101020 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 64. Let q = 74 + f. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-15)*-1 - (-168)\/40. Calculate the remainder when -1*(2\/c*-3 + -231) is divided by 60.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*h + 2227, -17*x - 2 = -16*x. Calculate the remainder when h is divided by 222.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/2 in 0.5, 87\/79, -0.6?\nAnswer: 87\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*-2*sqrt(128) + -5 + 5)**2 + 0.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 0*g - 28\/13*g**2 - 24\/65*g**5 - 43\/26*g**4 - 1\/39*g**6 - 40\/13*g**3 + 155. Find h, given that a(h) = 0.\nAnswer: -7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*b**2 - 397938*b + 132645.\nAnswer: 3*(b - 44215)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + n**2 - n - 4. Suppose -12 = 7*a - a. What is h(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 4*g + 7. Let y be m(5). Let u = 1 + -191. Let s = 575\/3 + u. Which is smaller: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4796 or 4795?\nAnswer: 4795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6989686*r - 6989727*r + 574 = 0 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (46 - (70 - 1))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195 a factor of 2736769880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 7. Suppose -5*q = a*u - 9, -2*u + 7 = 2*u - q. Suppose -2*z = 5*h - 15, -u*h - 1 = -3*z - 7. Let s(o) = -o - 2. Give s(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + d, -4*d - 13 = 5*c - 8*d. Let f be c - (-316)\/(-2) - -1. What is the tens digit of f\/3*21\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - l = -13, 5*l - l = 5*s + 60. Let y = s + 14. Let n(m) = m**2 - m - 2. What is the remainder when n(4) is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 1)*(-3)\/1. Suppose 5*n + 32 = 2. Let j = n + s. Solve -j*g = -12, 3*g = 5*f + 2 - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -281*i**6\/30 + 299*i**4\/3 + 1587*i. Find the third derivative of k(c) wrt c.\nAnswer: -6744*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 252375, 504749, 757123, 1009497, 1261871, 1514245?\n\"Answer: 252374*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 37*c - 2961. Determine t(-39).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/217932 and -68\/1797939.\nAnswer: 7191756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 178 - 109.5. Round w to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141384 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-12)*(-18)\/(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521643?\nAnswer: 3, 41, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -179486 + 4.\nAnswer: -179482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 13*w + 38. Determine h(-14).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377*z**2 - 640*z**2 - 803*z**2 + 416*z**2.\nAnswer: -1404*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 47*c - 863. Calculate f(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-74)\/14 - (-94)\/14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/143187260 and -127\/4741300.\nAnswer: 715936300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (1*-2 + 2). Let d = 604 - 601. Put -1, h, d in descending order.\nAnswer: d, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/147)\/((-2)\/18*-1)*2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 1:06 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.2 and 118080?\nAnswer: -614016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4*m = -0*m - 80, -8*j = -8*j - 2*j + 4*m - 56 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/9*3*12\/(-8). Let n(z) = z - 4. Let r be n(7). Let h be (-5 + -1)*w\/r. What is the third biggest value in 2, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(171) + (6*-1*sqrt(171) + sqrt(171) - sqrt(171)))\/(sqrt(90)\/(4*sqrt(250)))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 12*u + 686, u = b - 0*u - 308. Calculate the highest common factor of b and 645.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2888 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/103151 and -19\/1708.\nAnswer: 2888228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b47 - b715?\nAnswer: -978a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21360?\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.1 and -12634.2.\nAnswer: -39166.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2180486 by 14.\nAnswer: 155749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 17*z**3 - 16*z**2 - 18*z - 54. Let g(l) = 9*l**3 - 9*l**2 - 11*l - 27. Calculate 5*g(c) - 3*j(c).\nAnswer: -6*c**3 + 3*c**2 - c + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2682)\/495 - -5) + (-4)\/22.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167.1 + 2057?\nAnswer: 3224.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -796\/43 or -18?\nAnswer: -796\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18037\/5 + 3607. What is the closest to -0.6 in -3, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**2*c - 2*a**2 + 4084*a*c + 2504*a wrt c?\nAnswer: -2*a**2 + 4084*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -123\/59827?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*c - 18*c + 1163*b - 1165*b + 66, -2*c = 15*b + 113 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/7576 and -29\/5178196?\nAnswer: 10356392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2280 = -4*n. Let v be n\/30 + 2\/3. What is the highest common factor of 39 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8885, 17787, 26687, 35585, 44481, 53375?\n\"Answer: -s**2 + 8905*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6296 or -6292?\nAnswer: -6292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Suppose 2*s + 0*s - 6 = -2*u, 14 = -r*u + 3*s. Let m(o) = -o**2 - 5*o**3 + 1 - 2*o**3 + 0. What is m(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263798 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125811571 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*v = 22, 86*v = 2*t + 84*v - 4. Solve 2*x = 5*l - 21, 0 = -4*x + 6*x + t*l - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(-90780 - 2*g + 186065 - 93090).\nAnswer: -2*g + 2195","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2266101 + -24?\nAnswer: 2266044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22950*t**5 - 11827*t?\nAnswer: -459000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k + 3. Let h(t) = -t + 1. Let d(x) = -2*h(x) + y(x). Let n be d(2). Which is the third smallest value? (a) 0 (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 14077 = -14033 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 126?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**0*f)\/f)**(-35))**(-16))**(-1\/3) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0049 or 0.1?\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3 (b) 0.6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 3127\nAnswer: 9\/3127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 25. Let k = 15.3 + b. What is k rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29905*d*g**2 + 75*g**2 - 2*g - 15 wrt d?\nAnswer: 29905*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1161472*z. Let v(k) = -2*k**2. What is t(v(j))?\nAnswer: -2322944*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-6))\/(-14 - (-440)\/30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n**2 + n. Let z = -1 - 0. Let h be f(z). Suppose 2 = h*q - 18. Solve 4*v = k + 7, q*k - 3 = -k + v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-6))\/((-3)\/6). Let c = 41.1 - 41. Sort y, 0, c in descending order.\nAnswer: c, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3804874 - 3804874 + 2714*r**2 - 2*r**2 + r**2 - r**2 + r**2 - 4*r**2 + r**2 + (r - 1 + 1)*(-4*r - 3*r + 5*r) as m + a*r**2 + q*r and give a.\nAnswer: 2708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 14*z - 173. Let q = 42 - 21. Calculate the remainder when q is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -143*g**2*y - 82974*g**2 - 233*g*y - g - 5*y + 1 with respect to y.\nAnswer: -143*g**2 - 233*g - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6756, -13150, -19122, -24666, -29776?\n\"Answer: z**3 + 205*z**2 - 7016*z + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/2 and 59\/104646.\nAnswer: 104646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 203570 to the power of 1\/2, to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 38049121\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**4*l + 48*a*l - 5*l - 7 wrt a.\nAnswer: -8*a**3*l + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(140))\/sqrt(4))\/(sqrt(21)\/(sqrt(3) + sqrt(27))) + (-2*(sqrt(60)\/sqrt(48) - sqrt(10)\/sqrt(2)*6))**2.\nAnswer: 4*sqrt(5) + 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 + 5*k**3 - 2*k**3 + (-1 + 2 - 2)*(-6*k**3 + 0*k**3 + 4*k**3) + 65*k**3 + 902*k**3 - 6*k**3 to the form x*k**2 + q*k + u*k**3 + p and give u.\nAnswer: 965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2641*r - 220*r + 338*r - 915*r + 97*r in the form c*r + s and give c.\nAnswer: -3341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 47 = 9*q. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 568 = -106. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**7\/70 - 3*h**6\/20 - 18*h**5\/5 + 132*h**2 - 1. Factor p(n).\nAnswer: 3*n**2*(n - 12)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -317, -473, -627, -779?\nAnswer: -929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -641, -647, -663, -695, -749?\n\"Answer: -y**3 + y**2 - 2*y - 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*d - 2*h, 4*h - 16 + 8 = 0. Suppose -20*w - b = -d*w - 71, 4*b = 4*w - 96. What is the remainder when 52 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**2 + o + 2. Determine v(-3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 + 8400\/252)*(-6)\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -225 - -326. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 39\/2. Which is the third biggest value? (a) 2\/15 (b) -0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 213?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(1400)*-6)\/(((1*sqrt(288)*-1 - sqrt(288)) + sqrt(288))*4).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o + 2*o - 2*o + 468673*o**2 - 2 - 468650*o**2 + 7*o.\nAnswer: 23*o**2 + 12*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 5*u + 7*u = -2, u + 1 = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/17 (b) 9 (c) -0.03 (d) -17 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 8*m + 9655. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -648152050*o + 157668576?\nAnswer: -648152050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/34*(12\/(-8))\/(27\/192).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 18. Let u be r(16). Solve -a - g = -1 - 3, -10 = -3*a - u*g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a - 19 + 5 - 4 + a. Let m be o(-9). What is the nearest to m in 0.2, -4, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 4 = 3*k. Which is the nearest to k? (a) 1 (b) 0.12 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {i: 1, f: 1, d: 1, n: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 1:53 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/4 + 8*w**3 + 64*w**2.\nAnswer: w**2*(w + 16)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**6\/80 + 7*k**5\/240 - k**4\/24 + 7*k**3\/2 + 13*k. Let o(i) be the second derivative of j(i). Suppose o(h) = 0. What is h?\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-15 - (-27 + 11))*(-100)\/(-2) and 110.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2)**(-2\/3)\/(t*t*t**7*t**3\/t) assuming t is positive.\nAnswer: t**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 12*s**2 - 10*s - 8. Let w be c(11). Let r(h) = 18 - 30 - w*h + 12. Let g(x) = x**2. What is r(g(z))?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l + 5 - 4 - 3 + l**2. Let a(m) = m - 6. Let n be a(10). Give z(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 14}. Give prob of picking 1 s and 1 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359130 is divided by 644.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 446146?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from {y: 1, x: 8, n: 2, d: 5}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 6:34 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (78 + -99 - -97) + -8\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 574\/5*6120\/272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 917*l - 228*l - 231*l - 232*l + 2 - 225*l.\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(180) + 2)*-5 - (3 + sqrt(720)*-1 + -5)**2.\nAnswer: -731 - 78*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -8) + 0 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/7)*v**(-2\/5))\/((v*v\/(v*v**(-6)))\/v*v**(2\/5)*v) assuming v is positive.\nAnswer: v**(-228\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300902 is divided by 300836?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*u**2 - 19128*u + 19130*u - 75 - u**3 - 26*u**2 in the form r + k*u**2 + j*u + w*u**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100110110111111011100 (base 2) in base 12?\nAnswer: 1166964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92347 + 73742 = 21*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-48)*-2)\/(36\/(-54)). Which is the closest to 1? (a) 2\/17 (b) j (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143596955 to the nearest integer?\nAnswer: 11983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 2*u**2 - 7*u**2 + 6*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 40. What is the greatest common divisor of f and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -1\/3*h**3 + 17\/2*h**2 - 11*h - 1. Is p(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 54, 65, 58, 27, -34, -131, -270?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from vvvvivvvvii?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3043732928.\nAnswer: 2, 1483, 32069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 148196 and 259343?\nAnswer: 1037372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.7662.\nAnswer: -3.831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394 = 86*s - 8 - 372 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**30\/b))\/b**(-1\/12))**(4\/5) assuming b is positive.\nAnswer: b**(-323\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1746 or -1732?\nAnswer: -1732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (5 - ((-60)\/10)\/(-2))\/(344\/8 - 10)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 16) in base 4?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04088 + 0.54492. Round w to two decimal places.\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 - 11*i - 9. Let t be f(-4). Suppose -2*u = -m + 5, 4*m + t*u = 7*u + 16. Let x(l) = 0*l**2 - 9*l**2 + 3 + 8*l**2. Give x(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 282*n - 72*n + 5 - 5 to l + c*n and give c.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -124098?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 21*x - 11. Determine r(-19).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31559699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/73476 and 31\/26235014?\nAnswer: 472230252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 16*y + 81. Let o(i) = -3*i. What is 4*o(j) + u(j)?\nAnswer: 4*j + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 3\/10 (c) 10 (d) 0.2 (e) 83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-201)\/(-21) + (-6)\/(-14). Suppose a = 4*t - 10. Suppose 0 = -u + 2*u + t*p - 6, 4*p = 2*u - 82. Does 26 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19677\/10 - 1958. Calculate the common denominator of (-15)\/(-12)*218\/(-35) and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 135260 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*x + 30 = 24, -j + 4*x - 13 = 0. Solve 0 = g + 3*i - 4, j*g - 11*i + 10*i = -18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9947 is divided by 753.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*t**3 + 254252*t**2 - 1002012*t - 41040 = 0.\nAnswer: -3\/74, 4, 855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/5 (b) 235 (c) -0.046\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*s = 13, 0 = g - 5*s - 5 - 2. Let m be (284\/(-3)*(-3438)\/(-15280) - -18)\/((-2)\/20). What is the greatest common factor of g and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -901.\nAnswer: 9\/901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 2*x - 6. Let y be s(4). Suppose 46 = y*k - 4*f, 4*f - 69 = -3*k + 2*f. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 5*n + 12. Let w = -74 - -83. What is the remainder when (-12 + w)*(-1 + (2 - 3)) is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520 = 24*k - 136. Which is the third smallest value? (a) k (b) -1.9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 5:13 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4895 + 4934. What is the highest common divisor of s and 3549?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*y + 7 = 0, -m + 2*y + 4 = 1. Let p = -87\/320 + 1597\/3520. What is the biggest value in p, m, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11545 + 1?\nAnswer: 11546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 634573\/268840 + -12\/2585. Let w be (-59)\/26 - (-30)\/10. Let m = w - j. Calculate the common denominator of m and -29\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - w + w)*(2*w**2 + 4*w**2 - 5*w**2) + 0*w**3 - 2*w**3 + w**3 - 2.\nAnswer: 2*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 96. Let i(z) = -7*z**2. What is i(m(j))?\nAnswer: -28*j**2 + 2688*j - 64512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.52 - 4.92. What is v rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.213 + 0.213. Let x = -0.06 - 0.24. Sort p, 2\/23, x in ascending order.\nAnswer: x, p, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 391, -3119, -8969, -17159?\nAnswer: -27689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 18*y + 69. Calculate u(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9*a**2 + 157*a - 59. List the prime factors of x(-28).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583487085?\nAnswer: 3, 5, 38899139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -6556854 bigger than -6556856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 12) to base 11.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -55897 and 1.\nAnswer: -55897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqk when three letters picked without replacement from {g: 7, q: 2, k: 7}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 3\/10*p**4 - p - 4\/15*p**3 - 11\/100*p**5 + 1\/210*p**7 + 0*p**6 - 145 + 0*p**2. Factor x(j).\nAnswer: j*(j - 2)*(j - 1)**2*(j + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4 - 1)*(0*w**4 + 0*w**4 + w**4 + (-2*w**2 + 88*w**2 - 12*w**2)*(-3*w**2 + 2*w**2 + 4*w**2)).\nAnswer: 2230*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 2*y - 7. Let l be q(5). Let z(o) = -21*o + 1. Let j be z(1). Let r = j + l. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s + 309 = -76 + 215 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 30249*x + 2813168. What is r(-93)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63662359 and 1203?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2600 divided by -200\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3552944397?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -322 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 7:44 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 + 82. Let d(a) be the third derivative of a**5\/60 + a**4\/24 + a**3\/3 + 2*a**2. Let u be d(-3). Solve 3*w = 4*w - f*m + 2, -4*w - 2*m = u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -484 (b) 0.00629 (c) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -154.03 to 0 decimal places.\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7*r**3 + 3*r**2 + 3*r + 4. Let t(k) = -54*k**3 + 22*k**2 + 23*k + 32. Let w(d) = 46*g(d) - 6*t(d). Factor w(i).\nAnswer: 2*(i - 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2290, 4646, 7002?\n\"Answer: 2356*y - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjn when three letters picked without replacement from njnnynnjj.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84665, 167067, 249479, 331907, 414357, 496835, 579347, 661899?\nAnswer: 744497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s = 495. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1202850 and 474650.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**4 - a - 60. Calculate u(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 33, 80, 135, 186, 221, 228?\n\"Answer: -2*j**3 + 16*j**2 + 13*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1740 and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-23)\/69 + 3308\/2310. Let v = -44\/3 + 4849\/330. Let m = v - x. Calculate the common denominator of m and 79\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 104773828.4 to the nearest 1000.\nAnswer: 104774000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbgnjqf. What is prob of picking 2 g and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000001948015 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9857 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 397*s**2 + 14*s - 15*s - 3*s + 0*s - 1 to the form w*s + i*s**2 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**3. Let n be x(-1). Let m(q) = -q - 2. Let f be (110\/(-33))\/((-2)\/(-3)). Let v = f + 9. Let o(p) = -2*p - 3. Determine n*m(s) + v*o(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1083 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 67*u**2\/2 + 50. Suppose -2*m + 1 = 5*w - 2*w, 3*m - 10 = 4*w. What is the tens digit of j(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**7\/210 - o**6\/120 + 5*o**3\/6 + o**2. Let n(c) be the first derivative of f(c). Find the third derivative of n(m) wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f**2. Let l(g) = -5*g + 4. Let r(b) = 11*b - 9. Let v(d) = -9*l(d) - 4*r(d). What is v(q(y))?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxllfxxxxxxxxfx. What is prob of picking 2 x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 4*k - 38, -22 = -18*n + 14*n + k. Calculate the smallest common multiple of 1488 and n.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/14)\/5*1\/(40\/28).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3825, 5, 10, -10.\nAnswer: -10, 5, 10, 3825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 10) to base 5.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 236 = 11. Calculate the greatest common factor of o and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012002 (base 3) in base 10?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*j + 1 = -50*j - 86. What is the highest common factor of 4677 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 3*n - 22, -24*n + 26*n = -8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79809 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*3*4)**2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -23*p - 186. Let l be u(-8). Let y = -0.18 - 5.82. Put 3, y, l, -4 in increasing order.\nAnswer: y, -4, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 945709 to the power of 1\/2, to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*s + 4 = p, -4*s + 8 = 0. Differentiate -204 - 3*w**3 - 2*w**3 + 2*w**3 + 35*w**p - 21*w**2 - 16*w**2 with respect to w.\nAnswer: -9*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, b: 4, w: 1}. What is prob of picking 1 i and 1 w?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 275, -3, -19, -2\/23 in descending order.\nAnswer: 275, 5, -2\/23, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a day in minutes?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24695764685 take away 4?\nAnswer: -24695764689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145.1 + -746.1. Let r = -601.0457 - g. What is r rounded to three decimal places?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -200481720?\nAnswer: -200481714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 6592?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 19. Let s = 70 - d. Suppose -s*x + 22*x + 541 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*b**3*o**2*v - 48*b**3*o*v**3 - 3*b**3 + 3*b**2*o**2*v**3 - b**2*o**2*v**2 + 3*b**2*o + 10*b*o*v**3 - 16*b*o wrt b?\nAnswer: 48*o**2*v - 288*o*v**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**3\/3 - 8*s - 1. Differentiate w(f) wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13049*b*v**2 + 43*b*v - 21*v wrt v.\nAnswer: 26098*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t + 11*t = 108. What is the closest to 0.1 in 0.3, -4, t, -12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 12*a**5\/5 + 74*a**4\/5 + 12*a**3\/5 - 264*a**2\/5 + 136*a\/5 + 6 = 0?\nAnswer: -5, -3, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 11*m + 20 = 0. Suppose 5*t - 3*g = 11, 9*t = 4*t + m*g + 8. List the prime factors of (42\/t)\/(2\/4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -247, 1, 4, 0.9, -18\/5 in descending order.\nAnswer: 4, 1, 0.9, 0.2, -18\/5, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -10.7, 0.1, 3, 0.5, -3\/7?\nAnswer: -10.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 97.55492 centuries?\nAnswer: 9755.492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 2*p**2 - 3*p. Let r be a(-3). Suppose r*w - 20 = 5*w. Let k = 15 + w. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22494, 45155, 67816, 90477, 113138, 135799?\n\"Answer: 22661*y - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 107921210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23680264.\nAnswer: 2, 2960033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325*h = -17*h + 1694 + 16. Solve -h*k = -4*p - 12, 8*p - 2 = 11*p - 2*k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -5 (b) 35\/223 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*h = -156*h - 2*b - 28, 24 = -5*h - b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.25 - -0.24999965. What is r rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4542047 is divided by 751?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-160)\/28 - (-4)\/(-14). Let a be 2\/(-21)*18\/j. Solve a*v - 2\/7*v**2 + 0 = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81423618, -162847228, -244270838, -325694448?\nAnswer: -407118058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggdddddddddd. What is prob of sequence ddd?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.5 (c) 5 (d) -3\/5 (e) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87072880*l**3 - 16967874*l**2 wrt l.\nAnswer: -522437280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1080 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 113*b - 464. Let p be l(-4). Let -2\/3*f**3 - 2\/3 + 1\/3*f**5 - 7\/3*f + 2\/3*f**p - 8\/3*f**2 = 0. What is f?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2085*m - 31272. Give o(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 43 - -33 - -44?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 60 = -5*p, -2*o = -8*p + 3*p + 55. Let z be p - (-3 + 2)*-1. Let a = 567 - 562. Solve z*s = a*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 36*r**2 - 21. Let q(x) = 2*x**3 - 23*x**2 + 7*x - 34. Let m be q(11). Let c = 57 + m. Let p(g) = 7*g**2 - 4. Calculate c*p(v) + 4*y(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000101 (base 2) to base 12.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -5) + 13\/1. Suppose 0 = 2*o - 2*s + v, 5 = -0*o - o + 3*s. What is the remainder when 74 is divided by (30\/(-9))\/(o\/60)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*y + 8 - 14 + 4 + 2.\nAnswer: 329*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g + 20 + 1 = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 - 4 + (2 - 4 + 3)*(3 - 7 + 2))*(-f - 1 + 1) + 5 - 5 - 2*f to the form c + z*f and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -13*p**4\/4 - 17*p**3\/6 - 2*p + 86. Find the second derivative of s(j) wrt j.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/51744 and -145\/4539744.\nAnswer: 222447456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*c + 11 = -3*t, 21 = t - 4*c. Solve -5*a - t*z - 20 = -2*a, -2*z - 8 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -11*z**2. Let f(p) = -76105*p**2. Calculate f(n(q)).\nAnswer: -9208705*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -8\/3, -0.12, -285.\nAnswer: -285, -8\/3, -0.3, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 11 + 13 + 4*k)*(1 + 0 - 3).\nAnswer: -8*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 74.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.32 rounded to 1 dp?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-6) + -2)\/(2\/8). Solve -3*h - 5 = t*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33130023131 (base 4) to base 14.\nAnswer: -7750cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4 + -3. Let i be 66\/165 - (-12)\/(-5). What is the nearest to 0 in i, p, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1767 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -89*d + 45*d - 396 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w - 9. Let f be u(7). Suppose -4*l + 139 = -a, 67 = -3*l + 5*l - a. Calculate the greatest common factor of l and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.927 + -0.073. Let q = 3 + -20. Let y = 20 + q. Which is the nearest to z? (a) -2\/7 (b) y (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**4\/7 - 4*s**3 + 110*s**2\/7 + 1936*s\/7 = 0.\nAnswer: -11, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -649*i**3*r**3 + 5*i**2*r**2 - 39*i*r**3 wrt i?\nAnswer: -3894*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 451970*b**2 + 10214296000*b - 20426784160.\nAnswer: 5*(b - 45196)**2*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/139, -1798, 8\/101 in decreasing order.\nAnswer: 8\/101, -1\/139, -1798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4261*a - 458 = 4032*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4))**(-15)\/(k\/(k**9*k)*(k\/(k*k**(1\/6)))\/k)*(k\/(k*k*k**(-2\/15)\/k)*(k**(-4)\/k)\/k)**(2\/19) assuming k is positive.\nAnswer: k**(15161\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86\/271 + -508508\/1355. Is d greater than or equal to -375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 92, 251, 546, 1019, 1712?\nAnswer: 2667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = 6*c + 25. Let v be 70\/(-4)*(-1)\/5. Is v at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -7\/2*d**2 - 2*d + 0 - 1\/12*d**4 + 2*d**3. Calculate the remainder when k(11) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -963 + 962.999999675. What is g rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 19569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -1 - 11)*-1. Let f be 88\/(-28) - (-12 + o). Let j = -359\/5 + 72. What is the third smallest value in f, 0.1, 0, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13539, -2\/15, 2\/3, 4\/5 in descending order.\nAnswer: 13539, 4\/5, 2\/3, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12 - 1)\/(24 - 7). Let v = 7291981\/68 + -107233. Let b = a + v. Put b, -2\/11, -2 in descending order.\nAnswer: b, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4036142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -441.3 - -471. Let t = f + -30. Suppose -k + 1 = 4. Which is the third smallest value? (a) 1 (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 41, 56, 71, 86, 101?\n\"Answer: 15*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4525808844 + 0.5.\nAnswer: 4525808844.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -357*o**2 + 352*o**2 + 0 - 6*o - 1 + o**3. Calculate v(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.87 - 153.87. Let s = -280 - j. Let g = s - -128.9. Is 1\/115 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96335.3 minus 26.25217?\nAnswer: -96361.55217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 1\/3*l**3 + 1\/4*l**4 + 1\/60*l**5 - 5*l**2 + 0 + 0*l. Give a(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**5\/5 - v**4\/3 + 2*v**3\/3 + 2*v**2 + 8*v. Solve g(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2)*p)\/(p**6\/p*p))\/((p*p\/p**5*p)\/(p*p**(-1\/9))) assuming p is positive.\nAnswer: p**(-29\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -9 + (-427)\/(-28) + 1\/(-28).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = i + 4*u - 8, 0 = -5*i + 5*u + 195. Solve 34*k + i = -59 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16563 is divided by 436.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1573 + 1575. What is the nearest to -1 in -0.09, x, -0.02?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1512 and (9938\/408)\/((-539)\/154) + 7.\nAnswer: 25704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 3. Suppose 5*u - 9 = -2*o + 5*o, o = 5*u + 7. Let i be o + (-3)\/(-1) + 1. Let m = 9 + i. Give g(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212212122 - 2201?\nAnswer: -212222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/4860 and -23\/108.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/(-28) + 2996\/196. Let d = 4 - 3. Solve 5*b - p = d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 237673.3 and 0.1.\nAnswer: 237673.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orjjobvjoojoosjor. What is prob of picking 1 b and 1 j?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 301815342 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4024.7721 microseconds to hours.\nAnswer: 0.00000111799225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2 - 3*m**2 + 6*m**2 - 7*m**2. Let v(o) = -1 + 1 - 4*o. What is f(v(a))?\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.2 and 344?\nAnswer: 338.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/20*(157 + -2). Suppose 41 + t = 3*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 7*a + 174. Let o = -37 + a. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-31800)\/(-175) + (-4)\/(-14). Which is the biggest value? (a) 0.4 (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**4 + 78*z + z**2 + 2*z**3 - 3*z**2 - 78*z to a*z**4 + k*z + h*z**3 + o*z**2 + p and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*s + 22*s + 29*s + 4*s**3 wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 60, 56, 2, -126, -352, -700, -1194?\n\"Answer: -4*d**3 - d**2 + 27*d + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 6*q**2 + q**3 + 2*q - 6*q**3 - 5*q**2 + 1. Let f be c(-1). Suppose 5*i = -15, -f*k = -0*k + i - 125. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -405305585.8 rounded to the nearest 10000?\nAnswer: -405310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 92*n - 37. Let s(t) = 31*t - 12. Let k(v) = 6*a(v) - 17*s(v). Is 22 a factor of k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -239 greater than 5491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*q**2*z**2 - 12*q**2*z - 9*q**2 wrt z.\nAnswer: 172*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03457 rounded to three dps?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12216*k + 12221*k - 2*d = -22, 0 = -2*k + 3*d - 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*y**2 - 4*y**3 - 67*y**2 + 5*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -338 - -513. Suppose -h = -11*z + 6*z. Calculate the remainder when z is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 537282.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(29777\/(-1353) - -22).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*s = -98, 13 - 81 = -2*j + 2*s. Calculate the lowest common multiple of 44 and j.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 839, -377 in descending order.\nAnswer: 839, 9, -377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 11207, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370 and 592?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44125 = 124*k - 59484 - 377015. Is k a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2007*g = -2018*g - 44 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - 1 - (1422 + -1472)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -155378684*q**5 + 71758818*q**2 wrt q?\nAnswer: -9322721040*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - 8*d + 10. Suppose -u - 2 = t, 3*u = -2*t + 5*u + 16. Let n be c(t). Solve 0 = -n*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/646536 and -23\/20856?\nAnswer: 646536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276498 is divided by 6144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 218*v**3 + 46*v**2 - 192*v - 12. What is the ten thousands digit of y(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202 + -121?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2287, -5958, -9629?\n\"Answer: -3671*p + 1384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2726\/26 - (72\/39 - 2) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 124 = -41. What is the smallest common multiple of w and 21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/35)*(s**(1\/21)\/s)\/s)\/(s**(-30))**(1\/21) assuming s is positive.\nAnswer: s**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 40 = -28. Calculate the greatest common divisor of b and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/3 + 34*t - 2480\/3 = 0. What is t?\nAnswer: 40, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6477\/34 - (1 + (-2)\/4). Let r = -21091\/111 + g. Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/24 - 2\/(-8). What is the third derivative of -18*n**6 + n**p + 12*n**2 + 9*n**6 wrt n?\nAnswer: -1080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 241*k**2 - 3*k + 1. Let h be p(1). Suppose -5*b + h = 24. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -578, -1156, -1734, -2312, -2890?\n\"Answer: -578*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/14 + 46\/14. Let n = p + -5. Let u(q) = 6*q - 7. Let a(l) = -2*l + 2. Calculate n*u(t) - 7*a(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -249, 46 in ascending order.\nAnswer: -249, 1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 661901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1791 >= -1787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 2\/13, 10, -0.04, 304 in ascending order.\nAnswer: -17, -0.04, 2\/13, 10, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 66, -1 in increasing order.\nAnswer: -4, -1, 0, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -168.4311 and 129.\nAnswer: -21727.6119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**8\/2240 + u**4\/12 - 6*u. Let y(r) be the third derivative of t(r). Determine f, given that y(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 7*h + 192613 = 0, 16*i - 17*i = 3*h - 38549. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -9*y - 166. Let g(h) = -27*h - 483. What is -4*g(l) + 11*q(l)?\nAnswer: 9*l + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.443 + 0.343. Sort -0.5, o, 5\/4 in decreasing order.\nAnswer: 5\/4, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -o, -10 = 2*a - 7*o + 4*o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 41*h**2 + 17*h - 102. Let f be r(5). Let x = f + -677. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -53. Suppose s = -6*r + 2*r. Let b = 0.04 - 1.04. Is b bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 24 = i. Suppose 3 = -s, 0 = -3*f + 8*f + 3*s + 29. Let j = 12 + f. Solve 5*t + j + i = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7974, -27051, -57236, -98535, -150954?\nAnswer: -214499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**4 + m**4 + 3*m**4 + (4 - 4 + 34*m)*(m**3 + m - 6*m + 3*m) as i*m**3 + n*m**2 + l + q*m + u*m**4 and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwapnpvnpvwpapwvdp. Give prob of sequence npna.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5298188044?\nAnswer: 2, 1324547011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2862 and 313018?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 724 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13700 (b) 1\/73 (c) 4\/3 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16280952?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5877841 from -80.\nAnswer: -5877921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -376 + 693. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {e: 1, q: 10, g: 1, a: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -231 + 88 - 1021*q + 67 + 76 to i*q + b and give i.\nAnswer: -1021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4ddaa + -206?\nAnswer: 4dba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 190035886?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3342 is divided by 419.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -11. Find the third derivative of 3*c**j + 0*c**2 - 5*c**3 + 2*c**2 wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + (-379 - -389) - 25.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 2*g + 29, 5*g = -12*p + 9*p - 88 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -4914951, -0.3, -5?\nAnswer: -4914951","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4 + 4. Let r = 2316.02 + -2396. Let g = r + 80. Which is the second biggest value? (a) g (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a week in minutes?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12699820 and 3430.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - sqrt(85)*2*1)\/(sqrt(10)\/sqrt(2)*3 + sqrt(5)) - ((sqrt(374) - (sqrt(374) - -2*sqrt(374)))\/sqrt(11))\/(sqrt(8)\/(sqrt(8)\/sqrt(2))))**2.\nAnswer: 833\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -172, -167, -160, -151, -140?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*j + 105, -69 = 2*o - 34*j + 27*j. Let c(i) = i**3 + 16*i**2 - 16*i + 22. Give c(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 14. Let q(c) be the third derivative of 5*c**3\/2 + 16*c**2. Let r(p) = -3*q(p) + 4*s(p). Differentiate r(d) wrt d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/6 + ((-9)\/(-2) - -1). Suppose h*m + 33 = 9*m. What is the second derivative of 14*w**2 - 7*w - m*w**2 + 15*w**2 wrt w?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 1999, 6979, 16641, 32545?\nAnswer: 56251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 164 - 171.1. Let k = 13262116.900421 + -13262124. Let d = k - g. What is d rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 4*w + 10, -5*w = 2326*z - 2324*z + 35 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 9:23 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 14) to base 8.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 2*y + 16 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/10692 and 71\/396.\nAnswer: 10692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**5\/100 + r**4\/20 + r**3\/30 - 3*r**2\/10 - 19*r. What is h in f(h) = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11137718591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 20*d + 599. Give q(-28).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 11\nAnswer: 19\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33172 - -33204. Are f and -1\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 12*m**2 - 8*m + 2. Let i(a) = 24*a**2 - 16*a + 5. Let n(d) = 2*d + 32. Let w be n(-13). Let b(f) = w*i(f) - 13*y(f). Suppose b(k) = 0. Calculate k.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2. Let l(q) = -9536*q**2. Give y(l(d)).\nAnswer: 181870592*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 1 (c) 0.352 (d) -1389 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.334663 to 3 dps.\nAnswer: -0.335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (545\/10 + 8)\/((-1)\/(-22))?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 78*i**2 - 162*i - 19. Is k(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.69 - 0.29. Let r = q + -0.4000252. Round r to six dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13714 in 1\/19, -5\/9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3, l + 41 = 4*o - 22. Suppose -3*c - 1 - 2 = -r, -c = -r + 9. Suppose -r*y = -o*y + 138. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3402)\/432*28*(-80)\/(-2100)?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -135*u**6\/2 + 7*u**4\/4 - 2*u**3\/3 - 81*u**2\/2 + u - 4809. What is the third derivative of a(j) wrt j?\nAnswer: -24300*j**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - -9. Let z be j\/6 + 3\/2. Let p(d) = -d + 8. Give p(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -329, -135069, -3 in decreasing order.\nAnswer: -3, -329, -135069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26323500 - 134?\nAnswer: -26323634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*2*6\/(-36). Let m(s) = 6*s - 2. Let k(b) = 5*b - 3. Let t(g) = 5*k(g) - 4*m(g). Give t(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4641023 and 113.\nAnswer: 4641023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/5, 3\/8, 0.9, 1\/5, -0.1 in increasing order.\nAnswer: -0.1, 1\/5, 3\/8, 0.9, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - 21*c**2 + 5*c**2 - 23*c**2 + 69*c**2 - 30*c**2.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/(-660))\/((24\/(-42))\/2*(-98)\/(-24))\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/(-60) + 99\/(-594)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -62, -66, -70, -74, -78, -82?\n\"Answer: -4*k - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1765, -1687, -1557, -1375?\nAnswer: -1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -35*w. Let k be c(1). Let h = k + 40. Suppose -h*t = -i - i - 131, -5*i - 40 = -t. Solve 0 = 5*n - 2*m - 10, 2*n + n - 5*m = t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8141 - -8145. Calculate the highest common divisor of 446 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -234*z**2 - 204*z**2 + 2705*z + 136*z**2 - 2720*z as f*z + c + p*z**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, s: 2, n: 6, c: 4, f: 1}. What is prob of sequence fk?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2674 and 3056.\nAnswer: 21392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 5:15 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-3)\/((-3)\/2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.206 and -28.1923?\nAnswer: -5.8076138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 105*q + 96*q - 196*q - 26, 4*p = q + 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**6\/90 + k**5\/24 - k**4\/6 - 7*k**3\/3 + 2. Let w(m) be the third derivative of i(m). Is w(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6)*l**6*((l\/(l\/l**(-2\/7)))\/l*l)**(-9\/8) assuming l is positive.\nAnswer: l**(9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/165 + 8\/48.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4378 - 4377.93. What is the third biggest value in 4, 2\/11, d, 0.7, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -252\/13 + 2\/13*n + 252\/13*n**2 - 2\/13*n**3 = 0.\nAnswer: -1, 1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**2 + 405*b + 830 = 0.\nAnswer: -2, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3819 - -4213. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -33624 equal to -33626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*i = 9 + 17, -4*p - 4*i + 8 = 0. Suppose 13 = p*w - 7. 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 tens digit of 80393739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12781366*r**3 - 6390632*r**3 - 6390733*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5518*r + 5069*r - 11159*r in the form f*r + q and give f.\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*(-5)\/(40\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -3*z + 2*h - 2, 5*z + 10 = 432*h - 427*h for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2088 and 181974?\nAnswer: 63326952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/30*1)\/((-6)\/(-792)*-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-164)\/697)\/(52\/34)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/24*53\/(1219\/253).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (35\/1125)\/((-191)\/(-8595))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 291 + -239. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.261764493 to one decimal place.\nAnswer: 17.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 - 44*y**3 - 132*y**2 - 20*y + 200.\nAnswer: -4*(y - 1)*(y + 2)*(y + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, s: 2, f: 4}. What is prob of sequence fsfm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25126 + -25025. Calculate the remainder when 698 is divided by w.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2116 + 1065. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - n**2 - n)*(6*n + 3*n - 31*n) in the form g*n + a + z*n**2 + m*n**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009378004898 to seven decimal places.\nAnswer: 0.0000938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15 - 4*c - 902*c**2 + 84*c**2 - 387*c**2 wrt c.\nAnswer: -2410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/1517 - 4364397\/6068. Let v = -712 - p. Find the common denominator of v and 27\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003356472991 to seven dps.\nAnswer: 0.0000336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-5 - -13) + -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 14*j - 45. Let m be (-200)\/(-75) + (-1)\/(-3). Let x be r(m). Let b = 0.2 + -0.2. What is the second biggest value in b, 5, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -314424 (base 10) in base 8?\nAnswer: -1146070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*a + 2 + 5 - 34 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-111)\/(-9) - 4\/(-6). Let b = 21 - r. What is the greatest common divisor of 16 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 68587810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 9*o + 11. Let j be n(10). Suppose r - 10 = -5*a, -j - 1 = -r - a. Solve t - 7 = -r*t - g, -3*t = -2*g - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + c - 1. Let n(q) = -4*q**2 - 11*q - 10. Let w(g) = -3*i(g) - n(g). What is the remainder when 40 is divided by w(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -33, -62, -93, -126, -161, -198, -237?\n\"Answer: -r**2 - 26*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**5 - 4*b**5 + 2*b**5 + (2*b**4 + 2*b**4 - 2*b**4)*(2 + b - 2) + 2*b**5 - 3*b**5 + 2*b**5 + 2*b**5 + 1 - 1 - 14*b**5 + 3131 - 3131 + 6*b.\nAnswer: -7*b**5 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1458) + (sqrt(1458) + (1*sqrt(1458) - sqrt(1458)))**2*5 + -5 + 1.\nAnswer: 27*sqrt(2) + 7286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 352602659 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -171, 38, 3 in decreasing order.\nAnswer: 38, 4, 3, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 509609 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3 + 0*h**2 - 87499*h**3 - 4*h + 9*h + 3 + 3*h**2. Let u be t(-2). Round u to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.83 + -4.13. Let i = -3.6 - s. Is -0.2 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 97.8185 years?\nAnswer: 0.0978185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -12 - (8 - 83 - 0)) + (-14 - 0)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7871582 by 253922.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-72*h**2 - 90*h**2 + 76*h**2)*(-1 - 2*h + 1) as u*h + g + l*h**3 + n*h**2 and give l.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3124\/220 - (-2)\/20*-12. Solve -5*k = -3*z + y, 12*k - 10*k - 4*z = -8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + (sqrt(684) - (-1 + sqrt(684))) + -3 + sqrt(684).\nAnswer: -2 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2807654, 2807646, 2807636, 2807624, 2807610, 2807594, 2807576?\nAnswer: 2807556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010222202220 (base 3) to base 8.\nAnswer: 4265311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 22*b**2 + 46*b + 53. Let q = 78 + -54. Let l be k(q). Solve -7 - 8 = l*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 442446423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*1*(-8)\/(-48). Solve -3 = m + h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 3*sqrt(176))**2 - 6*(2 + sqrt(176))) + -5 + 0.\nAnswer: -120*sqrt(11) + 1583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 0*p + 13*p + 7.\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9559317*o**3*z**2 - o**3 + 4*o**2*z**2 - 38*o**2 - 335*o*z**2 - 6*o*z - z wrt o.\nAnswer: -57355902*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62348680.\nAnswer: 2, 5, 1558717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-4))\/(54\/9)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*h + 487*h - 268*h.\nAnswer: -37*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 54361320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 406.6818 nanometers?\nAnswer: 0.4066818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252 by -126.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - 5*s**2 + 2*s. Let o be f(3). Suppose -4*h + g = -20, g + o = 3*h - 0*g. Suppose -v - 4 = u - 0, h*u + 24 = -v. Solve 5 = -3*k - v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9893333*s**4 - 235324 wrt s?\nAnswer: 39573332*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (-75)\/21)\/(1\/14). Suppose 15 = r - q. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 + 154. Let j = 76.07 - s. Which is the third biggest value? (a) j (b) -0.5 (c) 1\/4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6570 a factor of 799457310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -218b9 - 31?\nAnswer: -2192a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3472)\/(-1519)*54\/(-288)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13724 divided by -49?\nAnswer: 13724\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3*a = 18, 0*w - w + 6 = -a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24, 111, 266, 501, 828?\n\"Answer: 2*p**3 + 22*p**2 + 7*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 5*s - 46, -46*b - 4*s - 13 = -47*b for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -8012*i - 80118. What is d(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 35783.2 and -368.6.\nAnswer: 35414.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 26*o**3 - o**2 + 3*o - 4. Let g(a) = 25*a**3 - a**2 + 2*a - 3. Calculate -3*b(q) + 4*g(q).\nAnswer: 22*q**3 - q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -424*k**2 + 39 + 212*k**2 - 3*k + 211*k**2 to t + l*k + w*k**2 and give t.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -25157290366 - 4.2?\nAnswer: -25157290370.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or 570\/11?\nAnswer: 570\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 89*g**2 + 2*g. Let x(o) = 24 + 3*o + 32 - 91 + 35. Give w(x(h)).\nAnswer: 801*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 652 = -6*c + 5*c, 4*c + 8 = 0. Is 366\/((-234)\/l + (-1)\/(-5)) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**3 - m**3 - 4*m**3 - 25526 + 7792.\nAnswer: m**3 - 17734","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, 253647, 0.3, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-6 - 2)) + -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 11:16 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/15 - 648646*s**2\/15 - 518936*s.\nAnswer: 2*s*(s - 324335)*(s + 12)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to 1228\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 429\/44 + 2\/8. Suppose -3*v - 144 = 5*v. Let j be ((-78)\/v + -3)\/((-4)\/(-78)). Solve -4*i + j - y = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23492 = -3*b + 10*b. Let q = b + 6269. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*a + 48, -10 = -5*y + 5. Let z = 856 + -855.8. Put -0.5, z, a in decreasing order.\nAnswer: a, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + 11*x**2 + x - 24. Let i be q(5). What is the highest common factor of 669 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2 + 74\/(-28))*2987\/15450 and 107\/350?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8*y - 2975 = 0. Does 67 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.4 - -2. What is the third smallest value in t, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**7\/2520 - y**6\/80 - y**5\/40 + y**4\/24 + y**2. Let i(p) be the second derivative of w(p). Determine i(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*j - 3 = 0. Suppose 3*z = j*k - 9, 3*z - 7 = 3*k + 4*z. Let b be (-2 - 17\/(-8))\/(-7 + 5). Is b > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 - 4*s**2 + 14. Let a be u(-3). Let c be ((-9)\/9)\/(-4)*a. Solve 0 = 2*w - 3*r - c, -4*w + 0*w - 2*r = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -249 + 233. Let u(o) = -o**2 - 14*o + 43. Give u(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1181466 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m + 530 = 5*p, -4*p - 2*m = -424. What is the remainder when p is divided by 5*10*(-54)\/(-150)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/12 and 17\/303687.\nAnswer: 1214748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/5 and -37\/20329.\nAnswer: 101645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2526*z. Let s(x) = 349*x. Let r(u) = -2*n(u) + 15*s(u). Let l(b) = 4*b. What is l(r(f))?\nAnswer: 732*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17421669 is divided by 715?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z + 2*z**3 - 4*z**2 + 2*z**2 + 0*z**3 + 8*z - 15*z + 9 to the form q*z + n + v*z**3 + x*z**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -3, 5, -5\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k - 11. Let y be a(9). Let r(x) = -13*x**2 + 7*x. Let j(c) = -4*c**2 + 2*c. Let z(h) = y*j(h) - 2*r(h). Let v(g) = -13*g**2. What is v(z(t))?\nAnswer: -52*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**4\/6 + 7*k**3\/2 + 6*k**2. Let c be r(-6). Let a = c + 12. What is the greatest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -1 - (-11 + (-31 - -35)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115311 + -350?\nAnswer: -115661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 2}. Give prob of sequence yl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1824)\/144)\/38*87?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25262, 25257, 25250, 25241?\nAnswer: 25230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.63 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 126.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 27263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 801432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6742 is divided by 1633?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**3 - 226*s**2 + 78*s - 137. Determine o(75).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 2:16 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/10, -0.5, 25, -11 in increasing order.\nAnswer: -11, -5, -0.5, 1\/10, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2 + 3 - 12*g - 8*g. Let p be (3 - -4)*(-1)\/1. Is t(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9226946417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 281, 416, 545, 674?\nAnswer: 809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55.5 * -14.636.\nAnswer: -812.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11564094 = -3*y - 3*d, -556621 + 15975415 = 4*y + 3*d. Round y to the nearest 100000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2665288135?\nAnswer: 5, 17, 43, 729217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18 + 9)*(-2)\/(-6). Let m = -11 - f. What is the common denominator of 125\/18 and 66\/m + 4\/(-20)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -98 in -2, -1, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2131863 rounded to three dps?\nAnswer: 0.213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(-4 - 2 + 2)*(-13*v**2 + 13*v**2 + 4*v**4).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**19*o*o)\/(o*o*(o\/(o**(6\/35)\/o)*o)\/o*o*o))\/(o**35\/o*o**24) assuming o is positive.\nAnswer: o**(-1499\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 19*s - 17*s + 94 = 0, 0 = -s - 2. What is the smallest common multiple of y and 405?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 355. Let l = -84 - k. What is the smallest common multiple of 16 and l?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*d + 6 = -91, -d + 1 = 0. Is ((-230)\/m)\/(2\/4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -1 + -4*(-1 + (sqrt(2448) - (-2*sqrt(2448) - sqrt(2448)))))*-3*-3)**2*4.\nAnswer: -373248*sqrt(17) + 203049828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163394 divided by 581697?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 15431.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 79*c**2 + 6*c - 14. Let n be j(4). Suppose -11*f + n = 2*f. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(119) - (4*(sqrt(119) + (sqrt(119)*-3 - sqrt(119)) - sqrt(119)) + sqrt(119)))\/sqrt(567)*-6)*4.\nAnswer: -128*sqrt(17)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 86, 273, 616, 1163, 1962?\nAnswer: 3061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 0*d + 2*d**4 + 2\/21*d**3 - 1 - 2\/7*d**2. Find b, given that z(b) = 0.\nAnswer: -2\/7, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-1 + 4)) + -20 + (-11 - -31)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 1052895\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 8695891148016?\nAnswer: 8695891148015.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 153*r**2 - 6*r + 29. Let t be n(-7). Suppose 0 = 4*d + 5*w - t + 2312, -5272 = -4*d - w. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -23. Suppose 0*g = j*g - 9. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 h when four letters picked without replacement from {h: 10, t: 2, j: 4, c: 3}?\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n**2 + 91*n + 3. Calculate the remainder when p(11) is divided by 71.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 25. Let i = 4 - 7. Let n = -1 - i. Solve n*j + j - 11 = f*g, 5*j + g - 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**3 - 35*f**2 - f - 5. Let p(n) = -7*n**2 + n. Give m(w) - 5*p(w).\nAnswer: 4*w**3 - 6*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 11*m + 11. Calculate w(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 520 and 4711096?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 11*k**2 - 11*k + 13. Let u be c(10). Suppose -3*p = u, -5*p - 1 = 4*s - 4. Solve 3*f + 4*x - 10 = f, -s*x = -6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 26 + 4. Suppose 3*v + 10 = x, -4*x + 5 = -11. Sort 3, -5, v, a in descending order.\nAnswer: a, 3, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/36)\/(-2 - 1960\/(-975)). Is 55 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1 less than 0.056170198?\nAnswer: -5.043829802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + 8. Let p be -1 + (-26)\/(-22) - 1479\/(-33). Let n = p + -24. What is the greatest common divisor of n and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -15, l = 2*q + 1 - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4\/3, -4045.9 in descending order.\nAnswer: -4\/3, -5, -4045.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2 = -2*l, -l + 2*l - 4 = -3*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (-396)\/(-16))*-4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1495195710 take away 6?\nAnswer: -1495195716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -134876 at most -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 4 + 1)*(-1 + 0 + 3)*(-11*x - 16*x + 45*x)*(-32 + 81 + 34).\nAnswer: -35856*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 2)\/(-3 + 1). Suppose -3*s + 11 = 2*j - w*s, 19 = 3*j + 2*s. Let g = 3 + j. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.051023 - 1311.\nAnswer: -1311.051023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrgrrgrrr. What is prob of sequence grrr?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*x**3 - 690*x**3 + 327*x**3.\nAnswer: -19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -44339.\nAnswer: 4\/44339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3179*y - 1443363 + 1443363.\nAnswer: -3179*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d + 1\/12*d**4 + 0*d**2 + 0 + 1\/24*d**5 + 1\/3*d**3 + 1\/180*d**6. Let o(k) be the second derivative of j(k). What is o(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1532563?\nAnswer: 29, 43, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205857*x - 102899*x - 102950*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-340)\/136*(-16)\/(-40)*7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**4\/4 + 2*f**3\/3 - f**2\/2 - f + 1. Suppose 0 = 3*w - 8*w + 25. Let h be (w\/5)\/1*2. What is t(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13955 - 292877\/21. Let v = 58\/7 - n. Let l be (1 + -1)\/((-4)\/2). Is l bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-1)\/(3\/(-2))). Let p(r) = -r - 2. Let u be p(-1). Let b be 0 - (1 + -6 + u). Solve 0 = -a*w - 5*d + 10, 0*d - 3*d = -b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - 77*j**2 + 35*j - 51. What is b(-39)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100000101001000110011 (base 2) in base 15?\nAnswer: 6dea33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 242 + -172. What is the greatest common factor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1\/18 (c) -16 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*o = 9*o - 399 + 2280. Calculate the remainder when 7158 is divided by o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (36\/15 + -2)*(-1 - -6). Suppose 2*k + 7 = -s*d + 127, 58 = k + 3*d. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 144.99 - 148. Let w = i - -0.01. Let h(n) = n**3 + 9*n**2 + 9*n + 7. Let o be h(-8). What is the third smallest value in w, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -58a + 1?\nAnswer: -589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 52937064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27 + 1\/2*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 2*o**3 + o**2)*(3 + 3 + 3*o - 6*o).\nAnswer: -6*o**4 + 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/96*(-24)\/(-27)*-24.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyexlxyxxe?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 5*k**2 - 2*k - 3. Let x(r) = -5*r**3 - 20*r**2 - 8*r - 13. Let b(v) = 9*f(v) - 2*x(v). What is b(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 738885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 147089 = 4*a + 5*m, 3*a - m - 441299 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 divided by 3?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2891\/4 - -727. Let z(b) = 107*b + 6. Let g be z(2). What is the common denominator of s and (1 + -8)\/(g\/(-28) + 7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -156 + 126. Which is the closest to 0.1? (a) -2 (b) -1\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*z = -29 + 8, i = -3*z + 12. Suppose 5*p = 5*d, 1 = -i*p + 2*d + 3. Solve -h = p*f + h - 18, f + 21 = 5*h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7633501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttr when three letters picked without replacement from iitityyytyfirr.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c**3 + 6129 - 16*c**3 + 736 - 610.\nAnswer: 4*c**3 + 6255","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3887*i**4 - i**3 + 970 wrt i.\nAnswer: 15548*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -1. Let q = -3 - -2. Let r = -671 + 671.4. Which is the third smallest value? (a) k (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**35\/s**(-6))\/((s*(s\/(s\/(s\/(s*s**32*s))))\/s)\/s*s)**49 assuming s is positive.\nAnswer: s**1658","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 + u**2 - u**2 + 494*u - 2 + 849*u.\nAnswer: 4*u**3 + 1343*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 18530?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 336883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*u**4 + 19*u**4 - 426*u**4 + 2*u)*(-5 + 5 - 1).\nAnswer: 367*u**4 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, k: 4, q: 2}. What is prob of picking 3 f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 12\/17*z + 0 + 2\/17*z**3 + 8\/17*z**4 - 22\/17*z**2 = 0. What is z?\nAnswer: -2, 0, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 10 + 0*b**3 + 49*b**3 - 22.\nAnswer: 49*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -798*s + 35. Let c(r) = -47*r + 2. Calculate -35*c(i) + 2*k(i).\nAnswer: 49*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**3\/5 - 17757*b**2\/5 + 35034561*b\/5 - 23041062951\/5 = 0. What is b?\nAnswer: 1973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9732818 decades to millennia.\nAnswer: 0.009732818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 23*f + 20. Let a be r(-22). What is the greatest common factor of 56 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120.2 - -15.2. Let m = 62 + p. Which is the second biggest value? (a) -1\/5 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -769*v**2. Let a(f) = -2*f**2. Determine b(a(l)).\nAnswer: -3076*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 2:26 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (270\/40 + -7)\/((-1)\/(-2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n**2 + 2 + 15*n - 4*n**2 - 3*n**2 + (-3*n + 2*n + 0*n)*(4*n - n + 8*n).\nAnswer: -12*n**2 + 15*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayayffyyyaa. Give prob of sequence yfy.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 - 70. Suppose x*s = 5*v + 49 - 244, -2*v - 4*s = -52. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 15. Let r = v + 10. Let o(t) = 4*t**3 + 4. Let c be (68\/6)\/(2\/(-6)). Let p(n) = -23*n**3 - 23. Give c*o(k) + r*p(k).\nAnswer: 2*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 10\/6) + 8 + -6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 14*m**2 - 5*m + 27. Let v be s(-13). Let f = 98 + v. Find the common denominator of -1\/4 and f\/14*(-183)\/(-45).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 3*b - 9. Let s = -33 - -28. Let o be l(s). Do 4\/25 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 take away -2002428471122.1?\nAnswer: 2002428471132.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2.9 (b) 0.3 (c) 1384\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 32*q + 21. Let c(t) = -68*t - 44. Let l(y) = 4*c(y) + 9*p(y). Give l(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1009.83 + 1005. Let l = 0.17 - o. Let i be (-398)\/2587 - 43\/(-195). Are i and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1701 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(576) + sqrt(576)))\/((sqrt(352) + sqrt(22))\/sqrt(11) - ((sqrt(16)\/sqrt(2) - sqrt(8)) + sqrt(8))\/sqrt(4)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 4. Let y(j) = -2. Suppose -11*n + 624 = -19*n. Let s = 83 + n. Determine s*y(p) + 2*i(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-2*1*(-2)\/(-18)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhol when four letters picked without replacement from lslhlloososss?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/8 + 745*p**2\/8 - 1104*p + 6597\/2 = 0. Calculate p.\nAnswer: 6, 733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by -21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 587672279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405460668?\nAnswer: 2, 3, 1871, 18059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 8*p + 3*z - 5 = 0, -4*p + 5*z = 31 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = 3*q - 3*f - 10, 0 = -4*f + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000110010111100 + 10010001?\nAnswer: -101000110000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 27, 1\/5, 9\/2 in decreasing order.\nAnswer: 27, 9\/2, 1\/5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-50)\/(-18) - (8\/(-198) + 74\/(-407)). Solve -4*h - 29 + 10 = j*u, 4*u + 16 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -121*p**2 - 5*p + 17. Give q(2).\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -2*f**7\/21 - 4*f**6\/15 + 6*f**5\/5 + 20*f**4\/3 + 38*f**3\/3 + 12*f**2 + 189*f. Suppose w(h) = 0. What is h?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -770\/17408123 - 1350952300335\/114963244292. Let j = -2\/1651 - a. Calculate the common denominator of -27\/20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*i + 4*i**4 + 6*i - 5 - 11*i wrt i.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 4933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106 and 1325?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3913 - -2ca?\nAnswer: -3616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eor when three letters picked without replacement from {o: 1, g: 11, j: 3, r: 1, e: 1, u: 1}.\nAnswer: 1\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -233*q + 3. Calculate the least common multiple of p(-1) and 16.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1263 + 10.\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 4*c - 14 = -11, -5*c - 5 = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 15 = 6*f. Let p(i) = i**2 - 2*i - 3. Let q be p(f). Solve -3*v + a + 5 = q, v - 8 = -3*v + 2*a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 9*g - 2. Let r(t) = t**3 - 2*t**2 - 43*t - 2. Calculate the remainder when r(8) is divided by n(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-0.2.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 5*n. Let a be x(7). Let o be -1 - (8\/(-4))\/2. Solve o = -5*k - a - 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, 15, -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 13 + (-9 + 1 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 13 - (6 - (2 + -2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.85885889639+33\nAnswer: 30.14114110361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enc when three letters picked without replacement from eyfcyfcuyyncuyf?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 353670 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 2:58 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -75\/26, 2, -3, 0.4, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 4*l = -4*f + 36, 4*l - 12 = f. Suppose -3*u + 6*r = r + 35, -5*r + 40 = -l*u. Sort 2, u, -1, 0 in increasing order.\nAnswer: u, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -2) + -2 - -1. What is the greatest common factor of n and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1020 = 12*m - 15552. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -468 - -1?\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 755 - 755 - 320*a**2 - 324*a**2 + 647*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 140 = 4*q, 2*l + 3*l - 5*q - 350 = 0. Let g = l - 65. Solve 3*h + 3*o = -2*o - 5, -g*o = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4))**14)**(-2\/171) assuming i is positive.\nAnswer: i**(-7\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(6)\/sqrt(2))**2 + -5.\nAnswer: -2*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -39*v**2 + 5808*v + 23242. What is q(-4)?\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 11 + 2*h**3 + 6*h**2 - 3. Suppose -2*x = 9 + 3. Calculate the remainder when 15 is divided by s(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 + 14*f - 5. Give s(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -292 + 274. Let p be 0 + (48\/(-28) - -2). Which is the second smallest value? (a) u (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-3))\/((-5)\/10226). Let o = -4075 + m. Let b = -637\/30 + o. What is the common denominator of b and 9\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/(2\/24). Is (876\/(-12))\/((-2)\/y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 4*h. Suppose -3*y - 2*y - 15 = h. Let r(j) = -4*j + 7. Let b(c) = -2*c + 4. Give y*r(o) + 5*b(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 1600052.\nAnswer: -480015.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2 - 13*l + 10. Let p(c) = 3*c**2 - 7*c + 5. Suppose 5*i - 6 = m + 13, 3*i = -5*m + 17. Let g(o) = i*h(o) - 7*p(o). Give g(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-84) + 33\/63?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a - 2. Let z be d(5). Let g = z - 13. Round g to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u\/((u\/u**(-1\/4))\/u))\/u)\/u)\/u)**(2\/23)*u\/u**(3\/7)*(u\/(u**(-1\/5)*u))\/u assuming u is positive.\nAnswer: u**(-543\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**4 - 185*c**2 - 3*c**4 + 11*c - 16*c**3 + 5*c + 186*c**2 = 0.\nAnswer: -16, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 20565.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9, -17, -33, -57, -89, -129, -177?\n\"Answer: -4*n**2 + 4*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and 2.21.\nAnswer: -1.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f + 67. Let p(r) = -3*r + 34. Determine -5*p(x) + 2*u(x).\nAnswer: x - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5291 + 26995 = 6*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621*r = -9010 - 33218 for r.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7121752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -26, 56, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + 12 + -67 + 76 + -67?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = x + 12*f - 336, 5*f = 4*x - 1394. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*p + 47 + 46. Calculate the remainder when 6862 is divided by p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 787 + 123. Suppose 0 = -2*f + 1450 + h. Is (f\/10)\/((-2)\/(-1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/7 and -4\/1535?\nAnswer: 10745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8458546 is divided by 228609.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142*b*w**5 - 36039*b*w**4 + 2*b*w**2 + 577841*b*w + 2*b - 24*w - 3 wrt w.\nAnswer: 8520*b*w**2 - 864936*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 11:55 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 - a**3 + 121*a**2 - 239*a**2 + 118*a**2.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 527\/884 - 6\/8. What is the smallest value in -1, z, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a7 + 5150?\nAnswer: 5076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30330 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(720) + sqrt(30)\/(sqrt(42)\/sqrt(7)) + ((sqrt(800)*-2)\/(sqrt(810) + 2*sqrt(810) - sqrt(810) - sqrt(10)))**2.\nAnswer: -59*sqrt(5) + 320\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 4\/9, 1\/6, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -137, -99, 13, 235, 603, 1153?\n\"Answer: 6*a**3 + a**2 - 7*a - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 + 39612*m**4 - 19808*m**4 - 19803*m**4 + m**3 + 2 - 51*m as w*m**2 + b*m**3 + i + k*m + a*m**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 3*z**3 + 14*z**3)*(-6 + 1 - 4).\nAnswer: -162*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.2 - -0.8. Let r = -255 + 243. Let z be ((-6)\/r)\/(1\/16). What is the biggest value in n, z, 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyvyvj. What is prob of sequence jy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(77) + sqrt(77) - sqrt(77))*4)\/(5*(sqrt(11) + sqrt(99) - sqrt(11))).\nAnswer: 8*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*x = 161*x + 50. Put -4, 17, x, 5 in increasing order.\nAnswer: x, -4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22977?\nAnswer: 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**2*c**3*p*z - 3*b**2*c**2*p*z - 94*c**3*p*z + 5*c**2*z + p*z wrt c?\nAnswer: -12*b**2*p*z - 564*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 + 2*s**5 - 4*s**5 - s**5 - 4*s**5 + 7*s**5 + (0 - 2*s**2 + 0)*(-5*s**3 + 4*s**3 + 3*s**3) - 10*s**5 + 28*s**5 + 111*s**5 - 2*s**5 + 5*s**5 - 2*s**5.\nAnswer: 127*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqiiqqi. What is prob of picking 2 i and 2 q?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*o + 2*z, 0 = -0*o - o + 3*z - 16. Let w = o + -1. What is the remainder when 2\/(w\/(-1)) - -11 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*s - 14. Let q(x) = -4*x - 1. Suppose 3*d - 32 - 31 = 0. What is the remainder when d is divided by q(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, f: 2, t: 2, y: 4, g: 1}. Give prob of picking 3 y.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -161378 + 161378.0096621. What is p rounded to 4 dps?\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a hour?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a640 (base 11) in base 10?\nAnswer: 43362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**3\/3 - 3*p**2 + 4*p + 1. Suppose -5*h = 4*f, -5*f - 9 = -5*h + 36. Let b be t(h). Put 2\/21, 5, b in decreasing order.\nAnswer: 5, 2\/21, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-7514))\/(2 - (-1 + 0 + 1)). What is the nearest to 158 in 1\/4, -2, y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8003 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -20*s**3 - 217*s**2 + 28*s - 17. Let b(g) = 7*g**3 + 73*g**2 - 10*g + 6. What is 11*b(r) + 4*t(r)?\nAnswer: -3*r**3 - 65*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1371800839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 888453427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**2\/2 - 6*n - 12. Let x be u(5). Let m be (x - -1) + 2 - 0. Solve -m = 4*y - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86*d*m**5 - 2*d*m + 21*d - 99*m**5 - m**2 - 476*m wrt m?\nAnswer: -1720*d*m**3 - 1980*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**2 - 4. Let o(r) = r**2 - r + 1. Let f(s) = 4*o(s) + w(s). Factor f(v).\nAnswer: -v*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -916500 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 8. Let v be z(11). Let s(i) = i + 4. Let x be s(v). Solve -x + 3 = -2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z + 8. Suppose z*v + 5*x = -17, v + 3*v - x + 11 = 0. Suppose -1 = 3*y + 5. Which is bigger: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-40))\/k**(-13))**(-1\/7) assuming k is positive.\nAnswer: k**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*y - 14, -3*u - 40*y + 7 = -45*y. Let n(f) = -f + 2. Calculate n(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 0.2 (b) 230 (c) -16\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 12) in base 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 794985119 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2436 by 6.\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {h: 1, a: 4, j: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6434 = -3*h, -722 = -2*h - 2*t + 3570. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 75\/20 - 2\/(-8).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91805 to the power of 1\/2, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 154\/385*((-483)\/(-322) - (-1)\/((-1)\/109)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -14. Let x = -9.2 - h. Let r = 0.7 - x. What is the second smallest value in 1, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*s - 0*s. Let f be 4\/1 - (-10)\/s. Suppose 0 = -4*o + 4, -f*d - 2*o + 11 = 3*o. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(60\/9) + -13 + (-12180)\/(-75) is divided by 47?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 8 = -2*t, 4*u + 10 - 8 = -t. Factor 10\/7*c**3 + 0 - 4\/7*c - 6\/7*c**t.\nAnswer: 2*c*(c - 1)*(5*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3. Let d = 11 - 9. Let u(a) = -1 + 3 - 4*a**3 - d. Give -5*g(x) + 2*u(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 - 37 + 71 - 3*k**2 to the form o*k**2 + v*k + f and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-5 + (-20)\/(-8)). Sort s, -5, 15 in ascending order.\nAnswer: -5, s, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*w**3 - 18*w**2 - 40*w**2 + 32*w + 63*w**2 + 2.\nAnswer: 150*w**3 + 5*w**2 + 32*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**4 - 12*r**2 - 1 - 2*r**3 - 9*r**2 + 15*r + 23*r**2 - 4*r**4 to y*r + m + w*r**3 + k*r**2 + x*r**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) -1 (c) 4 (d) -0.0737\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000835381 to six decimal places.\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4507, 5, -2, 30, 1 in decreasing order.\nAnswer: 4507, 30, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 23 = -0*p + w, 5*p = -4*w + 32. Suppose -3*c - 174 = -p*f + f, -2*f + 122 = c. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4 - 2. Let w be (9\/(-4) - -3)*4. Suppose l + 0 = -w*t + 4, -5*l + 5 = 0. What is the least common multiple of n and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -333359 greater than or equal to -333344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10\/9)\/((z**(-7\/9)*z*z)\/z))\/(z**(4\/3)*z)**(-32) assuming z is positive.\nAnswer: z**(220\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*-35810.6.\nAnswer: -1074318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**3 - 48*j. Let h(w) = 16*w. Give g(h(m)).\nAnswer: -96*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.0072, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 4\/4)\/(-1) - -3. Suppose 0 = -c*y - 4 + 12. Suppose -66 = -n - 5*d, 0 = -y*n - 3*d - d + 328. What is the remainder when n is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -269.4 - -269.39965187. Round m to 6 decimal places.\nAnswer: -0.000348","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 + 2009*v\/3 + 1338.\nAnswer: (v + 2)*(v + 2007)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.21 + 0.01. Let u = 8.3 - 8. Let b = u - 0.4. What is the closest to b in 3\/2, w, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002257827352 to 6 dps.\nAnswer: 0.002258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/17))**(1\/16))**(-9) assuming y is positive.\nAnswer: y**(-27\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -6.043171\nAnswer: 12.086342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -9, -3*v - 3*y = -0*v + 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - y**2 + 2*y**4 + 2 + y**4 - 5 + 80*y**3 - 127*y**3 as m*y**4 + j + w*y**2 + h*y**3 + t*y and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4 - 4 + 47938756*m - 47938754*m. Let v(j) = 104*j**2 + 6*j. What is i(v(l))?\nAnswer: 208*l**2 + 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -7)\/((-2)\/6). Let b = 11 - y. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 23. Let v be (-1)\/(4 + -5) - -1. Suppose -50 = -v*r + 14. What is the remainder when r is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 384 and 448.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-1)\/k)*k\/(((k\/((k**4*k)\/k))\/k)\/k*k*k))\/(k**(-2))**(18\/5)*(k**(3\/7)*k)\/k*k**4*(k**2)**18 assuming k is positive.\nAnswer: k**(1912\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 0*r**3 + 0*r - r**2 + 0 - 1\/15*r**5 + 0*r**4. Let b(v) be the third derivative of v**5\/20 + 10*v**2. Calculate b(h(s)).\nAnswer: 48*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 - 93 = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -121?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3404185822 a multiple of 7133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b - 91. What is the remainder when 35 is divided by g(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -538 (base 13) in base 9?\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3555610697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -204?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1316*m**3 + 84*m**3 - 1608*m**3 + 151*m**3.\nAnswer: -2689*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3*(-16 - -13). Suppose 0 = u*x + 819 - 3799. Suppose 0 = -0*m + 2*m - x. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u + 8. Let d be z(2). Suppose 0 = -2*g + d*g - 5*s - 26, 0 = 5*s + 20. Suppose -4*c + 18 = -g*c. Calculate the remainder when 31 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 245 by 7660.\nAnswer: 49\/1532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3. Let h be ((-6)\/(-10))\/(1\/5). Factor 6\/5*o**4 + 2*o**2 + c + 2\/5*o + 14\/5*o**h.\nAnswer: 2*o*(o + 1)**2*(3*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757 a factor of 36570670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1231 (b) -3\/7 (c) 11 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29363463985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 237989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -35*w + 9. Let u(y) = -61*y + 18. Let n(h) = -7*p(h) + 4*u(h). What is n(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-24) - (-98)\/8. Let x be (2\/(-6))\/((-1)\/18). Find the third derivative of 0*g**2 - 2*g**x + v*g**2 - 4*g**2 wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40\/111 - 662\/1221. Which is the nearest to i? (a) 2 (b) 4\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1052, -779, -402, 13, 400, 693?\nAnswer: 826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0735 - 0.08. What is b rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 15*n**2 - 22*n + 1. Let t be w(8). Is 783 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2663424*t**2 - 1641792*t - 253009.\nAnswer: -(1632*t + 503)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + c = 5*w - 539, -c = 2*w - 271. Suppose -25 = -5*f, -5*a - w = -f - 385. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4271697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11138374, -0.4, -1\/8 in descending order.\nAnswer: 11138374, -1\/8, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*i**2 - i + 75*i**2 + 77*i**2 + 496*i**3.\nAnswer: 496*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*m + 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -2) + (-2 - (-26)\/2). Suppose -24 - u = -3*y. Solve -t = 2*t + y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2115845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5116, -25815, -60320, -108631?\nAnswer: -170748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 equal to 316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/3)\/(k*k*k\/k**(-1\/4)) assuming k is positive.\nAnswer: k**(-47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/2)\/y)**(5\/16)*y*y*y**2*y*y*y*(y**(3\/4)*y)\/y)**(-47))**(-3\/10) assuming y is positive.\nAnswer: y**(32853\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5))**(-9\/7))**(5\/9)*(r*r*r**(-2)*r)\/r**(6\/11)*r**(2\/5)\/r*r*r\/((r\/(((r\/(r**8*r)*r)\/r*r)\/r*r))\/r)*r assuming r is positive.\nAnswer: r**(-221\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -14*z + 65. Give t(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -16*t + 15*t. Suppose 0*d = d - t. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 796, 1063, 1436, 1969, 2716, 3731, 5068?\n\"Answer: 9*a**3 - a**2 + 207*a + 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2329\/6 + 394. What is the common denominator of 85\/22 and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.1062 - -0.1062. Let p be ((-6)\/(-4))\/(0 - -3). What is the closest to p in 6, m, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 937*p**7\/42 - p**4\/4 + 54*p**2 + 7*p - 14. Find the third derivative of c(s) wrt s.\nAnswer: 56220*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**2 + 10*g + 36. Let x be b(0). Let k(n) = -6*n**3. Let w(r) = r**3. What is x*w(s) - 2*k(s)?\nAnswer: 48*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10620973 - 1?\nAnswer: -10620974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -980170.91 rounded to the nearest 10?\nAnswer: -980170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 31395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -10011010100111?\nAnswer: 10011010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -1, 1, -8 in descending order.\nAnswer: 11, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**4\/12 + 2*i**2 + 9*i. Let t be m(-2). Suppose -4*r - 5*j + t*j = -80, 29 = 3*r - 4*j. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633091829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -301 by 755.\nAnswer: -301\/755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 q when three letters picked without replacement from zqqhnnnznqnhq.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 divided by -1?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 17049636?\nAnswer: 68198544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12432353 and -0.4.\nAnswer: -12432353.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 804 = 491. Calculate the remainder when w is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -174802068 by -87401034.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1201, -2439, -3677, -4915, -6153, -7391?\n\"Answer: -1238*s + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -81, -85, -91, -99, -109, -121?\n\"Answer: -h**2 - h - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-2814)\/(-141)) + ((-282)\/47 - -23)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(84 + 15 + 17 + (-2 + 4 - 4)*(5 + 1 - 4) - 2 - 4 + 4)*(-3*p**3 + 5*p**3 - p**3).\nAnswer: -220*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**12)**(-1\/19) assuming t is positive.\nAnswer: t**(-12\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 165240 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, 0, -40 in increasing order.\nAnswer: -40, 0, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8250 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -4 + (-5*sqrt(1300) - sqrt(1300)) + (-3*((sqrt(1300) + 0 - sqrt(1300)) + sqrt(1300)) - (sqrt(1300) + 1)*1))*-6)**2.\nAnswer: 50400*sqrt(13) + 4681764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 times 0.3?\nAnswer: 40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -350*k**3 - k**2 - 2*k - 1. Suppose 0 = -3*n - 3*b - b + 13, -5*n = -2*b + 13. Let t be f(n). What is t rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -31. Let u = 18 + v. Let y(a) = -8*a + 0*a**u - 4*a**2 + 3*a**2 - 4. Give y(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0627 and 0.77351.\nAnswer: -0.048499077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 874*o**2 - 14276*o + 32040.\nAnswer: (o - 890)*(o - 2)*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*c - 2705907 - 3690661 = -22*c. What is the ten thousands digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 + -164)\/(0 - (-6)\/(-4)). What is the first derivative of 4 - z*l**4 + 187*l**4 + 48*l**4 wrt l?\nAnswer: 484*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-6)\/r)\/r)\/r*r**(8\/5)\/r)\/(r*r\/((r\/((r**0\/r)\/r))\/r))**(-44) assuming r is positive.\nAnswer: r**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -34, -52, -70, -88, -106?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 < -42456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14675*n + 29516*n - 14630*n - 1055 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + q = -2*q + 12, -5*p - 4*q = 53. Let a be -2 + (2 - 3 - 1). List the prime factors of (-276)\/p + a\/(-12).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 50, 63, 76, 89, 102?\n\"Answer: 13*k + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*x + m, -20 = -3*x + m + 4*m. Suppose l + f - 7 = 3*l, -l = f - 4. Let h = l - -3. Solve y = -x*y + h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110 - 43. Suppose -k + 5*k = -5*r - 59, 3*r = 4*k + d. Which is the nearest to -2\/5? (a) -4\/5 (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98)\/(-21) + 5 - 4\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 35 and 1405\/41 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49155 - (-5 + 1 + -34 + 30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196*c**2*h**3 - 560*c**2 - 10775*c*h**3 - 3*c*h - 2*h - 55 wrt h.\nAnswer: 1176*c**2*h - 64650*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14)*(-1)\/(-2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/1187732 and -85\/182?\nAnswer: 1187732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4) + 3\/(-12). What is the third derivative of 6 - 3*w**4 - 6 - 4*w**2 + y*w**4 wrt w?\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 r when four letters picked without replacement from {w: 2, u: 1, r: 14}?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 0, -0.16, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 2:56 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -9324537?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 + -91. Let t be 4 - ((-22)\/2 - 8\/(-8)). Suppose -3*q + l = t. Solve 5*v + q = -0*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 7*t + 5, t = 5*s - 2*t + 656 - 627 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2 - 356704*z - 15904717952 = 0.\nAnswer: -89176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -22*a**3 - a**2 - a + 1. Determine t(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -6)\/(-25*(-10)\/375).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51580 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115*h**4 + 2 - 38*h**3 - 2*h**2 - 220*h**4 + 104*h**4 to the form j*h + d*h**4 + i*h**2 + b + s*h**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 30*r - 63.\nAnswer: -3*(r - 7)*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.5617 + 0.2081.\nAnswer: 18.7698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8417 divided by -9243?\nAnswer: 8417\/9243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 74160 divided by -1030\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 770830300 to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and -30 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3583884 and 808.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + -34. Suppose n = -n + a. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*m + 3*y, 5*m + 32*y - 28*y = 18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7*c + 2)*(7 + 15*c - 4*c - 20*c).\nAnswer: -63*c**2 + 49*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -192*s**5 + 230*s**4 - 13*s**3 - 2365*s**2 - 2*s - 13 wrt s.\nAnswer: -11520*s**2 + 5520*s - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/11275 or 0?\nAnswer: 3\/11275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 18 = -0*w. Let r be (12\/15)\/(4\/460). What are the prime factors of (r\/(-6))\/(w\/18)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 391.62175 + -392.2. Round c to two dps.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*6*(-9)\/12. Let c = a - -11. Let g(l) = -l**3 - 8*l**2 - 10*l - 78. Let i be g(-8). Solve c = i*p + t, 2*p - 6*p - 5*t + 4 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - v = 16119, 5387 = 2*w - 22*v + 17*v. Solve -w*j = -2694*j + 40 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 23\/(-4) - 3\/4. Suppose -4*z - j*f + 267 = 0, -2*z = 2*f - 178 + 42. What are the prime factors of z?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5277*s - 1106*s + 91986 = 367272 for s.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 2)*(-2 - 2 - 15)*(-11865 - 64*i + 11867 - 32*i) to v + c*i and give v.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1721765300 rounded to the nearest 1000000?\nAnswer: 1722000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.949 - 28.949. What is the nearest to 1 in 1\/15, v, -3?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.06 + 0.06. Let s = 3 + a. Let z = -1\/26 + -19\/182. What is the third biggest value in z, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 968 = 2*i. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166061, -333169, -500277?\nAnswer: -667385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10867657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j*j**(-1\/7)*j)\/j)\/j*j)\/(j\/(j\/((j*j**1)\/j))))**(-47) assuming j is positive.\nAnswer: j**(-282\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197430, -197427, -197424, -197421, -197418?\nAnswer: -197415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + (sqrt(1700) - 6*(-2 + sqrt(1700))) - -2*(-4 + sqrt(1700) + sqrt(1700))) + (3*sqrt(1700) - sqrt(1700)) + -1 + 4 + 5)**2.\nAnswer: 480*sqrt(17) + 6944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -61294464 divided by -265344?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 11:31 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 4*h**2 - 3*h + 3. Let k(v) = -v**3 - 7*v**2 + 10*v + 12. Let z be k(-8). Calculate g(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 449.1 to the nearest ten.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3185148770 rounded to the nearest one million?\nAnswer: 3185000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 102. Let a be l(24). What is the smallest common multiple of (-12)\/a - 378\/(-91) and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 1 - 9\/(-9). Suppose -z - m = -3. Let n(s) be the second derivative of -s**4\/2 - s**3\/6 + s**2\/2 - 11*s. What is n(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 49198\nAnswer: -21\/49198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 at most 55562\/761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -107069 divided by -18?\nAnswer: 107069\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 12*z + 237. Let n(u) = 2*u**2. Give n(i(j)).\nAnswer: 288*j**2 + 11376*j + 112338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4739072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 8 - 14. Solve v*r + 10 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185735129.\nAnswer: 185735129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 + 212*x**2 + 12 - 214*x**2.\nAnswer: -2*x**2 + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s + 179. Let y be a(-25). Let w = -371 + y. Let x(k) = -k**3 + 8*k**2 + k + 3. Calculate x(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119\/253 - 1532\/3795. Let x(a) be the third derivative of 0*a**3 + a**2 - o*a**5 + 0*a - 23\/12*a**4 + 0. Find the second derivative of x(h) wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1500 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, b: 1, d: 1, i: 6, k: 1, w: 3}. What is prob of picking 1 f and 2 i?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 8*b**2 + 2*b + 1. Let c be g(8). Let q be -3735*67\/(-30150) + (26\/(-20) - -1). Solve 23 = -q*o - c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 20215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m**3 - m**2 - 7*m - 1. Let t(x) = 13*x**3 - 2*x**2 - 13*x - 2. Determine 11*i(s) - 6*t(s).\nAnswer: -s**3 + s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 66\/14 - 2\/(-7). Let c be 1820\/(-728)*28\/(-35). Suppose -2\/13*h**s + 0*h**4 + 4\/13*h**3 + 0 + 0*h**c - 2\/13*h = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 3*n. Suppose -36 = -n*v + 3*v. Let j = -26 - v. Let b(i) = -4*i**2 - 3*i. Let t(a) = 9*a**2 + 7*a. What is j*b(f) - 6*t(f)?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2071164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*d = 6 + 14, 49 = -5*z - 3*d. Let q = z + 26. Is 4\/q - 799\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 2:13 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjfj when four letters picked without replacement from jjffffjfjjffjjjfjff.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -13 (b) 1\/13 (c) -0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**4\/6 + 3860*v**3\/3 + 2*v**2 - 46312*v\/3 - 61760\/3 = 0?\nAnswer: -2, 4, 7720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 392\/(-32) - (-2)\/8. Let c(p) = p**3 + 15*p**2 + 15*p - 14. Let d be c(z). What is the greatest common factor of 34 and d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 21*v - 1, 3 = -5*v + 2*v - 4*s + 7 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -9*z**5\/5 - 10*z - 7. What is the derivative of u(y) wrt y?\nAnswer: -36*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5667\/164 - -90\/41. Let v = h - 36. What is y in 3\/2*y**2 + 0*y - v*y**3 + 0 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18223.398 - -18195. Let g = 0.03 + 0.072. Let p = g - m. Round p to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + j - 2. Let w be b(2). Let g = 8 + -19. Let p(n) = -n + 4. Let k be p(g). Solve q - k = w*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67948435 to the power of 1\/3, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2440*j**2 + 2437*j**2 - 7*j + 1337 + j + 1330 - 2667.\nAnswer: -3*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 2*u - 11, 7*u + 1 = 4*u - 2*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 7:43 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*u = 51*u - 51*u + 284 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - a + 1. Let c(f) = -f - 3 + 0 + 3. Let b be c(-5). Let g(m) = -3*m**2 + 6*m - 6. Give b*x(k) + g(k).\nAnswer: 2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3192)\/190)\/(52\/65).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*j - 9. Let r be 3 - 0 - j\/(-1). Determine q so that r*q**3 - 2\/3*q - 4\/3*q**2 + 4\/3*q**4 + 2\/3*q**5 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 0.2, 5\/2, -0.2, -1\/15?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1897 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*r = 8879 - 815 + 15858 for r.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 8 = 0, 434*p - 439*p + 102 = 3*q + 94 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178108.\nAnswer: 2, 7, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 33*f - 94. Let t be i(-3). Is 10 a factor of ((-70)\/4)\/(t\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 24 - 2*x - 2*x + 0*x. What are the prime factors of h(-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + 6. Give u(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141 + 147 + 22*m - 331 + 157)*(-m**3 - 3*m**3 + 2*m**3).\nAnswer: -44*m**4 - 228*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - m**2 + 32*m - 32. Give v(10).\nAnswer: 1188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.5 + -7.5. Suppose -m + 72 = 3*d, 63 = -d + 4*d - 2*m. Suppose -5*t - d = 4*h, -h - 3*h + t - 5 = 0. What is the second biggest value in i, h, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -9.5113631, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 6:04 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 4, 5, -0.3, 31, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 4332575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/8))**5 assuming p is positive.\nAnswer: p**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 11*n - 10. Let b = 162 - 150. Let j be q(b). Solve -j*m - 24 = 5*y, -m + 2 = 2*y + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*a**5 - 10*a**4 - 40*a**3 + 10*a**2 + 4*a = 0. Calculate a.\nAnswer: -1, -2\/9, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25530 - 25548. Let y(z) = 2*z**2 + 34*z + 22. Calculate y(n).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 177 in -97, -135, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*2*2\/12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**2)\/d)**49*d**7\/((d*d**2\/d)\/d*d) assuming d is positive.\nAnswer: d**103","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 56419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**3\/7 - 2158818*o**2\/7 = 0.\nAnswer: -719606, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -16. Suppose -3 = -2*m + 5*k + s, -24 = 4*m + 5*k. Is m at least as big as -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 11*y**2 + 3*y + 5. Let f be t(-11). Let n be ((-32)\/f)\/((-4)\/(-14)). Calculate the greatest common divisor of 44 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (2 + sqrt(300) + sqrt(300)*-1 + sqrt(300))*6 + -2)*6)**2.\nAnswer: 60480*sqrt(3) + 395856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjvfffv. Give prob of sequence ffvv.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/70)\/(42\/112). Which is the second smallest value? (a) -10 (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4962 - -4998. Solve -14*y + 5*f = -18*y + v, 0 = 5*y + 5*f - 40 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a**3 + 13*a**2 + 13*a + 117. Let c(p) = -5*p**3 - 12*p**2 - 15*p - 116. Let s(u) = -5*c(u) - 4*r(u). Let b be s(-7). Which is bigger: 4\/47 or b?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212709, -425426, -638143, -850860?\nAnswer: -1063577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 17, l: 1}. Give prob of picking 2 d.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539 = -167*o + 1570 + 258 + 1216 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -50?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -541083964962149\/20848 - -25953758866. Let t = r + -1\/5212. What is the common denominator of 101\/20 and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eepzzeezzzzpzezz. Give prob of sequence pe.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 6*r**2 - 3*r + 13. Let i be z(6). Let v be 2622\/30 - (-2)\/i. Suppose w - 5*j = 33 + 4, -2*w + v = 3*j. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**2 - 101*p - 64. Let f be m(-33). Solve 3*w - 3*q + 15 = 0, -5 = -f*w - q - 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-6))\/(20\/60) - (-972)\/132?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 5101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, p: 1, d: 7, a: 4}. What is prob of picking 1 d, 1 n, 1 p, and 1 a?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -576164433 + -3?\nAnswer: -576164436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c - 7492. Let s = c + -1463. Is 2*2\/12 + s\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 + (-27)\/6. Let o(i) = -i**2 - 8*i - 4. What is the units digit of o(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -532225787 and 63.43?\nAnswer: 532225850.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1\/113, -0.3, -2\/21, 1141\/6?\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 5. Let p(u) = 3965*u - 11. Give -p(r) + 2*x(r).\nAnswer: -3963*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -373*q + 117. Let c(y) = 187*y - 50. What is 14*c(o) + 6*i(o)?\nAnswer: 380*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905375 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57520 is divided by 292?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 + 13*x**2 + 2*x + 35. Let r(p) = -p**3 - 10*p**2 - p - 33. Calculate -3*n(t) - 4*r(t).\nAnswer: -2*t**3 + t**2 - 2*t + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61\/52 + -12\/13. Determine t, given that 1\/4*t**4 + r - t - t**3 + 3\/2*t**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 3\/16*-4*-4. Suppose -3*d + 4041 = -0*z + 3*z, -d + 1327 = -l*z. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let v(l) = -5*l**3 + 2*l**2 + 4*l. Let d(n) = -n**3 - n. Let o(c) = 2*d(c) + v(c). Let k be o(-1). Let r(w) = -8 + k + 2. What is -q(j) + 3*r(j)?\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 131 (b) 2 (c) -23.64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5918a (base 16) to base 3.\nAnswer: -200112121020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, h: 1, v: 1, s: 1, m: 1}. Give prob of sequence hjm.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from {q: 8, a: 1, z: 2, w: 1, u: 7}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 + 8 + 37*d**2 - 29*d**2.\nAnswer: 8*d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*n + 160. Suppose 6*y - n = y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 10*f - 13*f + 3*f - 5*f.\nAnswer: -23*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwvvwvwvvqqqwvcl. Give prob of sequence wv.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 5758338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*h - 3*p = -83*h + 9, 2*h + 4*p + 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {f: 5, n: 3, h: 1, m: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3082 and 5?\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5 + (-66)\/(-10). Let w(g) = 9*g**2 + 7. Let r(v) = 5*v**2 + 4. Let l(f) = k*r(f) - 4*w(f). Let c(s) = -s**2 + 5*s - 5*s. Determine c(l(y)).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h - 6. Let g be b(6). Solve 4*j + g - 2 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7868788 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-27)*31899\/10633\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2279537*l**3 + 9077639 with respect to l.\nAnswer: 6838611*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f - 23. Determine p(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -5*x**4\/24 - 118*x**2. Give t(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + y**2 + y. Let m(n) = 2*n**4 - 6*n**3 + 6*n**2 + 6*n + 11. Let k(z) = m(z) - 6*p(z). What is the derivative of k(c) wrt c?\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + b**3 + 2*b**4)*(b - 2*b + 2*b) - 2*b**5 + 4*b**5 - b**5 + (142939 + 308*b**3 - 142939)*(0*b + 0*b - 2*b**2).\nAnswer: -613*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y - 3. Let n(l) = 4*l - 2. Let z(s) = -3*j(s) + 2*n(s). Find the first derivative of z(a) wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 293.80185s in minutes?\nAnswer: 4.8966975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t. Let q(l) = -10266479*l. Calculate r(q(g)).\nAnswer: -20532958*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-121)\/(-44) - (-1)\/4. Suppose -5*a + 6680000 = -o*a. Round a to the nearest one hundred thousand.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, 158, 4 in descending order.\nAnswer: 158, 107, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - k + 25 = -0*v, v + 9 = k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1898511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1449 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1356 - 1266. Suppose -3*i + m = -56, 3*i - m = 4*i - 16. Calculate the highest common divisor of j and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*b - 11*b + 6*b to the form y + m*b and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.6938, 2\/7?\nAnswer: -0.6938","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*n**2 - 17585*n*y**3 + 11*y**3 - 42*y - 26 wrt n?\nAnswer: 20*n - 17585*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 1)*(42*s + 1259 - 1259)*(-3 + 3 + 1).\nAnswer: 210*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2784 and 51156696.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 1. Let y(u) = -12. What is 8*b(f) - y(f)?\nAnswer: -8*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - x + 4, 3*x - 12 + 0 = 0. Suppose -2*k - k = -5*y - 26, b = -y + 2*k - 8. Let v be 3\/y - 57\/(-12). Let w(l) = l**2 - 4*l + 3. Give w(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1194 + -1196. Let f be 3 - (-32)\/16*(-1)\/a. Determine b so that 6*b**f - 64\/3*b**3 + 112\/3*b**2 + 32\/3 - 32*b - 2\/3*b**5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-2)**2 + -2.\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -137 + 128 - (-7 + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -5.3. Let x = -9 + 8.4. Let u = x - p. Which is the third smallest value? (a) -5 (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(6*-4*sqrt(17) - (sqrt(272))**2*-1 - 3*(sqrt(1377) + -1 - ((sqrt(17) - (sqrt(68) + 1)) + sqrt(17)))**2).\nAnswer: 24*sqrt(17) + 3859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1560 divided by 5\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(2\/(-158)*36261\/(-918)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2)**(-7\/9)\/(y*y**(-2))**13 assuming y is positive.\nAnswer: y**(103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 = -0. Suppose d = r*d + 6. What are the prime factors of (-9)\/(9\/d)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13194 is divided by 2829?\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-5)*v)**(-48) assuming v is positive.\nAnswer: v**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149156564?\nAnswer: 2, 23, 307, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -15, -175, 3, -5, 56, 5 in ascending order.\nAnswer: -175, -15, -5, -3, 3, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxp when three letters picked without replacement from pxx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -12. Suppose -t + 2 = -2*t, -2*d + t - 34 = 0. Let b = l + d. Find the common denominator of b and -39\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 13*p + 15, 11*c - 7 = 34*c - 8*c - 18*c + 4*p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -216 + 270. What is the highest common factor of n and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79169141474859 - 2.\nAnswer: 79169141474857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + s + 15, 9*z - 12*z + 12 = -s. What is the greatest common factor of z and 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1507*b*v**3 + 9*b*v**2 + 74*v**3 + 77*v wrt b.\nAnswer: 1507*v**3 + 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-six fifths of a meter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6971 is divided by 87?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 + 3 + 0*h**2 - 3.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 1905.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60*(-17)\/714)\/(93\/42 + -2)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2293 = -0*c - 3*c, 0 = -5*s - 5*c + 2285. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323 = -3*t + p, -5*t - 533 = -10*t + 3*p. Suppose -c = b + 4*c - 6, t = 4*b + 3*c. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/9, -2, 0.2, -3\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3cf29 (base 16) to base 8\nAnswer: 747451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*v - 10*c = -8*c - 1223, 18 = -19286*v + 19288*v - 4*c for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 take away 214?\nAnswer: -212.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -2250 and -2235 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 14 - (-9 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.037513 and -23?\nAnswer: 22.962487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 4. Let a = 60 - 22. Calculate the remainder when a is divided by n\/18 + 616\/63.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1203 times 0.5?\nAnswer: 0.06015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-9 + 5 + -4 - (-16 - -1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 + 6*l + 2. Suppose -9*y + 4*y = 0. Suppose -2*a - 6*w + 2*w - 28 = y, 0 = -5*w - 25. Calculate the remainder when 101 is divided by b(a).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*a**3 + 1704*a**2 - 12415*a - 54978 = 0. Calculate a.\nAnswer: -34\/11, 11, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from zizciiczizzzcizn.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 20 = -10*y. Solve -y*s = -4*c + 49 - 14, -15 = 5*s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-8 - (-2 - 1))) + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -470025857 + 152.38.\nAnswer: -470025704.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 3. Let n = -50 - -34. Let q be n\/4*(2 - 1). Give o(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 + -10 - 16) + -1 + 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69338364 by 56099.\nAnswer: -1236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 340, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 3:35 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, g: 5, d: 3, v: 3}. Give prob of sequence ggg.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -153, 2 in descending order.\nAnswer: 4, 2, -1, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1862827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 2019. Is z(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3778 times -0.2\nAnswer: -0.07556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6*p + 4700 = 0. Let l = p + -304. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 0)*160\/3. Let p be k*-2750 + -1 + 1. What is p rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**0)**(-1\/6)\/(s**1)**(-14)*(s**(-2\/13)*s**5)**(-17\/4) assuming s is positive.\nAnswer: s**(-1055\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 80 - 82 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 560*r**3 - 15. Let v(d) = -80*d**3 + 2. What is -2*l(a) - 15*v(a)?\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 999544211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**2 - 4*d - 4. Let n be m(-3). Let r be -1 + (-7)\/(n\/2344). Suppose r = 4*j + u, -u + 4 = -1. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 7 - (39 + 20 + -34)) + 13 + 128.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 9 + -41 + 7 + (-4 - 6).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5 (b) -1 (c) 4 (d) -23409 (e) 20 (f) 0.3 (g) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 66 + 54 - 2*u)*(-45 - 49 + 6 - 2).\nAnswer: -90*u + 1080","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - -1 - (-137 + 144)) + (1 - 1).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3347328440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -531, -1063, -1595, -2127?\n\"Answer: -532*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(200)*2)\/sqrt(10) - sqrt(20)) + sqrt(20))\/(sqrt(32)\/(sqrt(16)\/sqrt(2))) + -2)**2 + 1)*2.\nAnswer: -16*sqrt(5) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -42739 divided by 2420?\nAnswer: -42739\/2420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - 39*b + 61. What is s(16)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5*t**(1\/5))\/(t\/(t\/(t\/((t*t*t**(1\/4)*t*t*t)\/t))))**(2\/137) assuming t is positive.\nAnswer: t**(7189\/1370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-369)\/246*-15*7*10\/315 - -85?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(24)\/(sqrt(24)\/sqrt(4))) + 0 + sqrt(1088) + -1)**2.\nAnswer: -18*sqrt(17) + 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57293369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -32. Let o be 2\/(-30)*2*(-1)\/p. Is o > 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 0*r**3 + 0*r + 0 + 1\/24*r**4 - 88*r**2. Let m(b) = 4*b**2 - b**2 - 2*b**2. Give i(m(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 2*s + 9, 0 = -h - h - 2*s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2258 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -12635 less than or equal to -12636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -17926940624192 + 12\nAnswer: -17926940624180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 4*z**2 - 3*z - 9. Suppose 150 = 6*u + 24*u. Give j(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 557933999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -35.3. Which is the third biggest value? (a) 4 (b) -2\/11 (c) 1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 3. Let d(g) = g + 2. Let h(f) = -4*d(f) - 3*p(f). Let z(a) = 11*a - 6. Let v(s) = 3*h(s) + z(s). What are the prime factors of v(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 447960031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3192168 and 840?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 28 + 19*c - 10 - 22 - 2*c**3 + 1 in the form q*c**3 + w + u*c**2 + n*c and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -447*0.16.\nAnswer: -71.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 56836115549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_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: How many seconds are there in 26\/5 of a hour?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (32\/(-24))\/(6\/(-9)). Find the third derivative of -335*y**3 + 292*y**3 - 2*y**5 + y**6 + 140*y**o + 2*y**5 wrt y.\nAnswer: 120*y**3 - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.993847 rounded to two decimal places?\nAnswer: -45.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j + 310. Let y = j - -108. Let t = -30 + y. Calculate the remainder when 30 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f = 28*f + 24. Solve 0 = -f*c - 4*p + 2*p + 18, -5*c = 2*p - 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2389 is divided by 63.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245768 and 2480?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5449123.0029+-5\nAnswer: 5449118.0029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + g + 5. Let k = g - -5. Which is the biggest value? (a) k (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81919320 + 2*k - 81919320.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 18 = -0*g + 2*p, 2*g + 3*p = -11. Suppose 2*l + g*l = 0. Suppose -f = -13*b + 12*b + 4, -3*b - f = 0. Is l <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/231)\/((-90)\/21).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 + 124. Suppose 3*t - r = -3*t. What is the highest common divisor of 70 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 11*j**2 + 26*j + 27. Let i(d) = -4*d**2 - 9*d - 9. Let a(s) = -8*i(s) - 3*m(s). Factor a(v).\nAnswer: -(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -384\/7 - 3\/7*o**2 + 72\/7*o.\nAnswer: -3*(o - 16)*(o - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 4) to base 3\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*w**4 + 35 + 15*w**3 - 16*w**3 - 35 + 2*w - 13*w**4 to m*w**4 + z*w**3 + g*w + d + h*w**2 and give m.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 - 55 - (7 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -87, -156, -197, -204, -171, -92, 39?\n\"Answer: c**3 + 8*c**2 - 100*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 1. Let d(l) = -325*l**2 - 1 + 327*l**2 + 0. Let h(k) = d(k) - y(k). Let r(c) = -11*c**2. Determine r(h(z)).\nAnswer: -99*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349*j = 2*m + 348*j - 306, 5*j = -m + 186. What is the greatest common factor of 9750 and m?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p. Let c(z) be the third derivative of 1\/2*z**3 + 0 + 5*z**2 + 0*z. Let n(i) = -i**2 - 1. Let q(t) = -c(t) - 3*n(t). What is q(g(j))?\nAnswer: 147*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10982364 - 3?\nAnswer: -10982367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144193178*y**3 - 232479989*y?\nAnswer: 865159068*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20986114026343 and 10.\nAnswer: -20986114026333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -73710 divided by 378?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and (70596\/(-1887))\/((-4)\/34).\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5525.133 to the nearest integer.\nAnswer: -5525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152 and 80?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/51 and -163\/222768.\nAnswer: 222768","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 - 19*a - 33. Let x be h(-7). Suppose -4*y = 3*o + 2 + 2, 2*y + x*o = 0. Sort y, 1, 2, -3 in increasing order.\nAnswer: y, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 1005*k**3 - 12*k**2 - 7*k + 65. Let p(y) = -y**3 + 2*y**2 + 2*y - 1. Let t(b) = j(b) + 6*p(b). Find the second derivative of t(d) wrt d.\nAnswer: 5994*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/a*a)**(-32)\/(a*a**(8\/5)*a**(-5)) assuming a is positive.\nAnswer: a**(172\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 96 - 89 - (-5 + 2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 22*j - 1716. Calculate the lowest common multiple of j and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zscccswchsbhsscs. Give prob of sequence sh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4618, 4618, 4620, 4624, 4630?\n\"Answer: g**2 - 3*g + 4620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2077 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-8)\/150))\/(-9) + (-86)\/(-516)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.034 and 1.164?\nAnswer: 1.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/17, 3, -2\/9, 2 in descending order.\nAnswer: 3, 2, -2\/17, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*s - 24 - 2*s**3 - 87*s.\nAnswer: -2*s**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 + 0.023. Let h = 43.903 - n. Let o = h + -41. What is the second biggest value in -5, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47432, -47068, -46704, -46340?\nAnswer: -45976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50130 by -5013.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254\/10 - 27\/(-45) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*d**2*w**3 + 10*d**2*w**2 + 8*d**2 + 2*d*w**3 wrt w?\nAnswer: 522*d**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 - 10.1. Let i = 7.6 + o. Put i, -5, 1 in decreasing order.\nAnswer: 1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 22. Does 17 divide (3 - r) + (-6 - -56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3208.47801 + 0.02199. Round v to the nearest 10.\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 + 71*h**2 + 37*h - 2. What is w(36)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20650827 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/203 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*h*t**4 - 672*h*t + 296*h + 24193*t**4 wrt t.\nAnswer: -204*h*t**2 + 290316*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -6. Let v(d) = 6*d**2 - 3*d - 3. Let q be v(m). Suppose -2*r - 5*z + 63 + 1 = 0, 2*r + 3*z = q. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(6)*-4*-1) + 5.\nAnswer: sqrt(2)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 606\/303*(-9)\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 154777 (c) 0 (d) 0.1 (e) -8\/3 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17325)\/(-210)*(-16)\/(-24) + 16.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -396.92048 to 0 dps.\nAnswer: -397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - y**2 - y + 3. Let u(a) = -6*a**3 + 14*a**2 - 2*a + 1. Let t(q) = -5*p(q) - u(q). Determine t(4).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 55 - 62*l**3 + 28.\nAnswer: -62*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 13 - -2839 - ((-23)\/6 + 34\/(-204))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88263*d**4 + 910*d**3 - 571*d**2 - 2*d + 1 wrt d.\nAnswer: -2118312*d + 5460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454889.\nAnswer: 454889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/54 and 29\/102.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f - 60. Suppose 13*d = f*d - 40. What is the lowest common multiple of 8 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -228 + 233. Calculate the least common multiple of (20\/5)\/(u\/20) and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 39*d**2 - 9*d + 243. What is a(39)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/1890*-21)\/(2\/36). Let w(v) = v**3 - 8*v**2 - v + 4. Let p be w(8). Let q = 9 + p. Solve k + f*l + 0*l - 17 = 0, q*k = 4*l + 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17984 is divided by 1634.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0791450172 rounded to three dps?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/10)\/((-4)\/10). Let s(r) = -3*r - 2. Let b be s(z). Differentiate 0 + 3*u**4 + 0*u**b + 1 - 3 wrt u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*h - 5*y - 26 = 127*h - 0 + 35, 0 = -5*h + y + 41 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57071670433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639170966 a multiple of 1468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -17) + -13 + 25 - -1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 5*d + 18, 8*j = -2*d - 220 + 232 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167 + -147. Suppose 15 = 7*c - s. Put c, 1, -4, -0.4 in descending order.\nAnswer: c, 1, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*t + 9237 - 2365 = -3514 + 266 for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1236, -1237, -1238, -1239, -1240?\nAnswer: -1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*37 + (4 - 5). Is r - ((3 - 1) + -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + sqrt(44))*-1)**2*-3 - (sqrt(6336)*-3 - sqrt(6336))\/(sqrt(4) - sqrt(324)*-2).\nAnswer: -2112 + 48*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.74 minus -75.25063030824?\nAnswer: 75.99063030824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*k**3 - k**2*s**2 - 43*k*s**2 + 49*s**2 wrt k?\nAnswer: -9*k**2 - 2*k*s**2 - 43*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 33*r**2 + r. Let p be z(-2). Suppose 0*w - 5*w + p = 0. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l - 5. Let u(p) = 10*p - 16. Let x(a) = 16*m(a) - 5*u(a). Let h(i) = 17*i. Give 2*h(o) + 18*x(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 2. Let f(k) be the second derivative of -2*k**2 + 0 - 1\/4*k**4 + 1\/20*k**5 + 0*k**3 - 4*k. What is 2*f(a) - 5*g(a)?\nAnswer: 2*a**3 - a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8383d8 + -5?\nAnswer: -8383dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*b = p + 64*b + 83, -p - 2*b = 84. Let a = 75 + -78. Put p, -2, a in decreasing order.\nAnswer: -2, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -186? (a) -1 (b) 0.021 (c) 2 (d) 3 (e) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 18 = -3. Suppose t - c = 53. Suppose 0 = 5*v - 2 - t. Solve 0 = -2*r + 4*b - 24, 19 + v = -3*r + 5*b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 * -29892\nAnswer: 328812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 14 - 31 - 5 + 2 + 2 + (1 - 3 + 1)*(4 - 4 - 2) + 0 - 2 + 0)*(-j + j - j - j - j + j + (-2*j + 3*j + j)*(2 + 2 - 6) - 3*j + 2*j + 2*j).\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 27, -2 in descending order.\nAnswer: 27, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*z + 357 = -x - 61*z, -3*x - 1046 = 2*z. Let b = 5282\/15 + x. Sort -10, -6, -1\/6, b in descending order.\nAnswer: b, -1\/6, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1264 and 656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -62. Put 4\/5, z, -11, -0.1 in descending order.\nAnswer: 4\/5, z, -0.1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4 = 12. Let z be (2 + (n - 6))\/2. Let v(k) = 3*k**2 + 2*k + 6. Let b be v(0). Solve -b = -3*i - z*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 855 smaller than 855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + ((-14)\/12 + 1 - 6063\/(-846)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = 4 + 14. Let b(z) = 5*z**2 - 2*z - 1. Give b(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 13374*l - 374525. Determine r(28).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 261.7628 milligrams?\nAnswer: 0.0000002617628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 0*h - h - h. Let v(f) = -4*f - 2 + 2 + 0. What is v(i(n))?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6173 = -7*h - 6075 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22071 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlpnuiullnpi. What is prob of sequence ipd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 11*g = -8*z - 36, 2*z - g = 0. Let x be 2\/(-8) - 245\/(-20). Solve 4 = -z*u + x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 2*z**2 - 2*z - 5. Is b(-4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0109438 - -3902.049?\nAnswer: 3902.0599438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 4. Let y be p(-3). Let s be y - (15\/20 - (-9)\/4). Calculate the remainder when 127 is divided by 3\/s + (-14)\/10 + 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-19 - -8) + 22 + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 + o**3 + 3*o**2 - o - 4 + 3. Let z(l) = -l**3 + 2*l**2 - l - 2. Let c(q) = 2*x(q) - 3*z(q). What is the units digit of c(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(128) + -1 + -2 + sqrt(18)\/((sqrt(9) + sqrt(81) - sqrt(9)) + sqrt(9))*1)**2.\nAnswer: -297*sqrt(2) + 3483\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-54)\/450*10 + (-1 - -2). Let m = 70 - 75. What is the closest to 2 in m, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6985 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-85))\/(1*2\/1)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30*6\/(-90)*-6. Suppose 3*r - c = -3*r. Sort r, 0, 5, -4 in decreasing order.\nAnswer: 5, r, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t**3 - 67*t**2 - 37*t - 136. Determine j(-12).\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16412263 and 5753?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 719717.37 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -940262328*r + 129378114 wrt r?\nAnswer: -940262328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.39 - -0.11. Which is the closest to 0.1? (a) 0.1 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 483 and 1817?\nAnswer: 38157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -11*t**2 - 2*t - 7. Let x(c) = 11*c**2 + 2*c + 8. Calculate 6*d(s) + 5*x(s).\nAnswer: -11*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1641958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25206 or 25204?\nAnswer: 25204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/398380 and -61\/41531115.\nAnswer: 166124460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**6\/840 - 62*g**5\/105 - 247*g**4\/168 + 385*g**2 + 3. Factor y(d).\nAnswer: -d*(d + 1)*(d + 247)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (1 - 8 - 2 - 2) - -4) + 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pssspspsplpllslpps. Give prob of picking 1 l, 1 p, and 1 s.\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**2 - 12*i - 12. Let d = -11 - -10. Let c = -15 + 20. Let l(o) = -o - c + 7 - 3. Calculate d*h(z) + 12*l(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 4*l - 300. Is 48 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/275, -4, -3, 1?\nAnswer: 2\/275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 3*n = -15, 0 = -5*i - 517*n + 514*n + 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1150 and 4830.\nAnswer: 24150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 497*l**2 - 1497*l - 496495. Determine j(-496).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8339 - -18396. What is the thousands digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 - (-4068)\/(-2825)*(-10)\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-1)\/7 - 666\/42)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d + 2*d**3 - 18*d - 128 + 227 + 9*d in the form p*d**3 + z*d + s*d**2 + u and give u.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(1 + (-15)\/5))\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/4479 in -0.5, -2, -16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 21. Let v be 17\/(-35) + 2\/j. Let g = 86.053 - 88.053. Sort v, g, 2, 4.\nAnswer: g, v, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 125 = 5*j + 453, -j - 110 = -y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3 - 110*v**2 + 784*v - 1504 = 0. What is v?\nAnswer: 4, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w*w**(2\/31))\/w*((w\/(w**(-1\/7)\/w))\/w)\/w)\/((w*w\/(w*w*(w*w**(-12)\/w*w*w)\/w*w))\/w*w**(7\/2)) assuming w is positive.\nAnswer: w**(-4467\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 711745, 1423478, 2135213, 2846950?\nAnswer: 3558689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kym when three letters picked without replacement from {y: 1, h: 1, q: 1, j: 4, m: 2, k: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0.09147?\nAnswer: 3.09147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 95 - 80 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/4 and 7\/89686.\nAnswer: 179372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15121 (base 15) in base 5?\nAnswer: -4132011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 477 and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57.5 - 45. Let h = z - 11. Let t = 3.5 - h. Which is the closest to 0.1? (a) t (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 divided by -1046?\nAnswer: -335\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a95 (base 14) to base 9.\nAnswer: -61507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 39\/(-33) - (-168)\/77. List the prime factors of 30*((-6)\/36)\/(k\/(-6)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-2)\/30*6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/7))**(-8\/11))**(-1\/8) assuming w is positive.\nAnswer: w**(-2\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.42 + 0.58. Let x = 130 - 653\/5. Which is the nearest to 0.01? (a) 1 (b) x (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/110 and -69\/556.\nAnswer: 30580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791 at most 1791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 554*d - 16695. Calculate x(-32).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8329988 millimeters?\nAnswer: 832998.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -12*m**5\/19 - 122*m**4\/19 - 20*m**3\/19 = 0.\nAnswer: -10, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 5\/2 (b) 0.1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1043*j**3 + 31 + 1042*j**3 - 6*j**2 - 1 + 2*j. Let p be q(-6). Suppose -17*g + p*g = 8000. What is g rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t - 2*t + 4 + t)*(21 - 241 - 137) in the form w*t + i and give i.\nAnswer: -1428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 1120 = 21*j + 12*j for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/(4\/(16\/(-4)))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 1228 - 1231 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2164*u**2 - 64*u - 218. What is the tens digit of o(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 - 128*x**3 + 10*x**2 - 15*x**2.\nAnswer: -128*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3481375 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-6))\/((-58)\/6 - -10). Suppose b*c - 2 = -a, 3*a + 22 = -3*c + 43. Solve a - 4 = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4109*a + 4110*a - 2*q + 13, 4*a + 32 = 4*q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*u + 30, 13 = -4*u + 5*u - 2*k. Solve 15*o - 23*o**3 + 33 + 25*o**u - 11 - 39*o + 10 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 2880 = -11161. List the prime factors of s.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3315000 rounded to the nearest one hundred thousand?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t + q + 28 = 2*t, -2*t + 2 = -3*q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 5:59 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 20428519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3801544?\nAnswer: 2, 43, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 178605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-260)\/7*(-20 - -13)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -12*v**3 + 1299*v**2 - 27*v - 54. Let d(g) = -g**3 + 100*g**2 - 2*g - 4. Let i(z) = 27*d(z) - 2*j(z). Determine n, given that i(n) = 0.\nAnswer: 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/7 + 10\/35. Let q be (x + 0)*(-1)\/1. Let w(k) = k**2 + k + 2. Let r be w(-2). Calculate the greatest common factor of r and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3452 divided by 525\nAnswer: 3452\/525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4989\/4339?\nAnswer: -4989\/4339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6*g**2 + 8*g - 6. Let a(z) = 2*z**2 - 3*z + 2. Suppose 2*x - 6 = 4*x. Let f(o) = -3*o**2 + o + 2. Let q be f(2). Calculate q*a(i) + x*t(i).\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(210) - (sqrt(210) + sqrt(210)*1))\/sqrt(7) - sqrt(30) - sqrt(30)) + sqrt(30))\/(-6*sqrt(6)*-1)*4.\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 629500*f**3 - 10*f**2 + 12505099*f wrt f.\nAnswer: 3777000*f - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.17989115876736 + -0.4\nAnswer: -0.57989115876736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n**2 + 34*n + 49*n + 16 + 2*n - 19*n = 0. What is n?\nAnswer: -8, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 115562. Let y be b(0). Suppose 0 = 5*c + 29438 + y. What is c rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 25214182?\nAnswer: -25214182.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 412, 911, 1410, 1909?\n\"Answer: 499*u - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**7\/70 + 3*l**6\/25 - 21*l**5\/50 + 4*l**4\/5 - 9*l**3\/10 + 3*l**2\/5 + 8*l. Suppose n(r) = 0. Calculate r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -56*r**3 + 53*r**3 - 5 - r**2 + 5 + r. Determine n(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28909840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -5\/16, -38570, 3, 0.5?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000160649 rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + x)*(-66 + 11*x + 66) - 10*x - 5*x**2 + 10*x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 16*n**2 - 19*n + 124. What is j(7)?\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/11*o**3 - 20\/11*o**2 + 2\/11*o**5 + 8\/11*o**4 - 8\/11*o + 16\/11 = 0. Calculate o.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20\/29 + -7\/116. Let v = 6 + -3. Which is the nearest to 0.1? (a) v (b) z (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112012131 (base 4) to base 5.\nAnswer: 10344100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.4 + -0.06176095?\nAnswer: 12.33823905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*c = 5, -4*c - 14 = 2*q - 3*q. What is the units digit of (q - 2\/2)\/(6\/126)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/19))**36 assuming z is positive.\nAnswer: z**(-72\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6972750 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3042*w + 94263. Give g(-31).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 2 + 3 + 1 + 6. Let q be z(14). Let l be 4*(-5)\/(-50)*q. Which is the second biggest value? (a) l (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18971.\nAnswer: 61, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 2, l: 1, i: 1, n: 1, v: 1}. What is prob of picking 1 l and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxjzjjwx. What is prob of picking 1 w and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17503?\nAnswer: 23, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)\/u*u)\/u)**(-25)\/((u*u*u**1)\/u*u*u*u**(-2)*u*u)*u\/(u*u**(-3\/2))*u\/u**(-1\/12)*u**(-2\/19)\/u*u\/(u*u\/(u\/(u\/u**(-1\/2))))*u*u assuming u is positive.\nAnswer: u**(10939\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 11 - 7)*(-2 - 2 - 9)*(1 + 3 - 3)*(0 + 0 + s**3).\nAnswer: -182*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1548 - 1553. Let b(d) = -2*d**2 - 6*d + 5. Calculate b(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -2*w**2 + 2*w + 5. Does 14 divide z(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 25*w**2 - 148*w + 1811. Give y(28).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/33*-6*(-1)\/(-140)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200715 is divided by 18239.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(7 - 7 - 2*c)*(-75 - 103 + 138).\nAnswer: -80*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -42 and 336139002.\nAnswer: 336138960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -24331 (base 5) in base 4?\nAnswer: -130301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 - -193 - 290) + 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409910 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orr when three letters picked without replacement from rrorrrnrroon.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-1530) - 0)*-6. Let l = 378572\/555 - 34074617\/50320. Let i = l + d. Calculate the common denominator of i and -97\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/4)\/((-3)\/(-108)). Let c be j\/12 + (-1)\/(-4). Let f(n) be the first derivative of 2*n**3\/3 + 3*n**2\/2 + n + 1. Calculate f(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103910 is divided by 34568.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15634 + 93655\/6. What is the common denominator of 75\/4678 and t?\nAnswer: 14034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*o**5 - 590*a**3*o**2 + 407*o**5 - 2*o**2 wrt o.\nAnswer: -120*a**3*o**2 + 24420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.2 (b) 1\/3 (c) 0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43.4102 * -5.\nAnswer: -217.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + z**2 - 4*z**2)*(37 + 36 - 82 + 6*z)*(-5*z**2 + 4*z**2 + 4*z**2).\nAnswer: -72*z**5 + 108*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.948139 from -1.153.\nAnswer: -3.101139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481690 is divided by 481684.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + r + 2. Let w(u) = -u**2 - 10*u + 2. Let f be w(-10). Let p be n(f). What is the common denominator of (438\/(-4))\/(3 - p) and 87\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*g**2*q**2 - 12*c**3*g**2 + 468*c**3*q**2 - g**2*q wrt q?\nAnswer: 2*c**3*g**2 + 936*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121352 and 1763608.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 20*s - 84. Let l be u(-6). Let w be l + (-6)\/14 - (-855)\/133. Solve w + 0 = 6*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkggkkgkkkkgkkg. What is prob of sequence kg?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, c: 6, o: 5, y: 1, r: 2, i: 1}. What is prob of picking 1 c and 1 r?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*q + 28*q**3 + 24*q**3 - 56*q**3 to the form j*q**3 + v*q**2 + g + a*q and give a.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than 190710146?\nAnswer: 190710140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k - 6. Give w(19).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134 + 407. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63 + 5 - 107) + (-2 - -2) + -12.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-285)\/(-30) + (-3 - 0) - (0 - -6). Sort 2, r, 4, -0.6, -2\/3.\nAnswer: -2\/3, -0.6, r, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -741\/4, 0.8, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2. Let g = -122 - -124. Let c(t) be the third derivative of 0*t + 0 + 0*t**4 - 1\/30*t**5 + 0*t**3 + 3*t**g. What is f(c(j))?\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b71 (base 12) to base 11\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2325159596?\nAnswer: 2, 581289899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**4\/2 + 925*s**3\/2 + 3685*s**2\/2 + 915*s\/2 - 2763 = 0.\nAnswer: -921, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10731441 and 3087?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 14. Let i be a(13). Let v = i - -17. Solve -4*b - v = -6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 2*sqrt(84) - sqrt(84))\/sqrt(6) - (sqrt(98) - sqrt(98)*-2)\/sqrt(7))\/(sqrt(7)*-2*3*3) + -5.\nAnswer: -5 + sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u**(2\/7)*u)\/u)**(-29))**(8\/3)\/((u\/u**(-1\/2))**(8\/11)*(u*u*u\/(u\/(((u\/((u*u\/(u**0\/u))\/u))\/u)\/u*u*u))*u)**(1\/32)) assuming u is positive.\nAnswer: u**(-123917\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbbpppbccbcppppcc. What is prob of picking 2 c?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -3)\/(8\/(-849)). Suppose 296 = -2*d - 126. Let q = d - h. What is the nearest to 1\/3 in 3, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.964647 rounded to 0 dps?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22736 + 22764 = -22*d + 43410 for d.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 7 = 6*k + 3*x, 7 = 7*k - 8*k - 3*x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j - 3*j + 5*j)*(45*j + 428 - 428) + (3*j**2 - 3*j**2 - 2*j**2)*(-1 - 4 + 3).\nAnswer: -176*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 106324441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12321650 divided by -473.\nAnswer: 26050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-42599.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22201011120 (base 3) to base 14.\nAnswer: 46698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 244 - 244 - k**2. Determine p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 18, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 704 = -9*p. Let i = -63 + p. Is -1\/71 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17707\/3666 + -2\/611. Find the common denominator of o and 41\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*y + 8 + 6 - 22 + 17 in the form v*y + q and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74113719 is divided by 355?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (0 - -8) - 1. Let i be ((-6)\/r)\/((-22)\/(-6)). What is the biggest value in 3, -0.2, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 12:26 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 27*v - 15*v)*(-37*v - v - 8*v)*(-v + 1 - 1).\nAnswer: -2116*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2588308800.\nAnswer: 2, 3, 5, 7, 11, 47, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.92779 and 0.36.\nAnswer: 4.2940044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 d when three letters picked without replacement from pppepddpppe?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*g - 65*g + 8 = 4*l, -3*g - 15 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 8*b + 36 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 8 + 13)*(0 - 6 + 5)*(11*r + 0*r - r) as p*r + a and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/14*(-11 + 18) + -6*(-2976)\/2304?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - (-27 - (-44 + (36 - -23))).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-5 + 8 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 3*p + 19. Let i be t(-6). Let c be (-8)\/28 - 80\/i. Find the first derivative of -u**2 - 15 - 4*u**c + 2*u - 2*u wrt u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1848722434.\nAnswer: 2, 13, 271, 20183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 295142 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 + 16*j - 21. Suppose 0 = -137*w + 141*w - 24. Let v be a(w). Solve 0*c + 15 = v*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -17\/2*c**2 + c + 6. Is v(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 - 5*k**4 - 4 + 25*k**4 - 16*k**4 + (-1 + 2*k + 1)*(5*k**3 - 432*k + 432*k) in the form n*k**3 + h*k**2 + m + z*k**4 + g*k and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - a**2)*(2 - 2 + 2*a) + 17*a**2 - 9*a**3 - 17*a**2 - 2 + 2*a**3 + 2 + (4*a**2 - a**2 - a**2)*(-2*a + 4*a - a).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**4 + 2 + 5*f**3 + 1067*f**2 - 1067*f**2 as y*f**4 + v + l*f**3 + g*f + q*f**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/56 and (-192)\/(-2800)*7*120\/(-28)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -370954, -741919, -1112886, -1483855, -1854826, -2225799?\n\"Answer: -v**2 - 370962*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1106 - 1111. Sort 67\/2, 0.3, m in ascending order.\nAnswer: m, 0.3, 67\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 29 = 3*m, 4*m + 3*a - 40 + 13 = 0. Suppose 23*u - 22*u = -m, u = 3*p - 9. Find j, given that 6\/7*j**p - 16\/7*j + 8\/7 - 2\/7*j**4 + 4\/7*j**3 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -117114296*a*i**2 + 851045*i**2 - 9*i + 1 wrt a?\nAnswer: -117114296*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(360)*1)\/sqrt(8).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/98 and -13\/266.\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -275*d**2 - 30785*d + 1680 = 0. What is d?\nAnswer: -112, 3\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23053 minus 3?\nAnswer: -23056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 2\/9*n**4 - 1\/90*n**6 + 0*n - 16\/9*n**3 + 1 + 2\/45*n**5 + 17\/2*n**2. Let l(i) be the second derivative of f(i). Factor l(v).\nAnswer: -4*(v - 2)**2*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1089*s**4 + 7*s**2 + 13*s + 18. Let y(j) = -1089*j**4 + 7*j**2 + 13*j + 16. Let n(t) = 3*b(t) - 4*y(t). What is the third derivative of n(h) wrt h?\nAnswer: 26136*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.1 - 22. Let y = -11\/76 + -2\/19. What is the nearest to j in 0, y, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1556, 1562, 1570, 1580?\nAnswer: 1592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 10*v + 16. Let a(t) = -t**3 + 9*t**2 - 9*t + 6. Let o be a(8). Let n be (20\/v + 3)*o. Is -3 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 1. Let m(j) = -2*j - 6. Calculate m(c) + 3*n(c).\nAnswer: c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 269.2384 centuries in months?\nAnswer: 323086.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, a: 1, z: 3, e: 3, j: 2}. Give prob of sequence jzza.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -54626 (b) -0.1 (c) -3\/5 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, 2, -4, 0.2, 1122, -64?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.92089g in milligrams?\nAnswer: 71920.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -112? (a) 2 (b) 4\/15 (c) 5 (d) -140\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2. Let n(i) = i**3 - 9*i**2 + 9*i. Let a be n(8). Suppose 2*z = a*z - 12. Let k(v) = -2*v - z*v + 3 + 5*v - 3*v. What is k(h(s))?\nAnswer: 2*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 672*r. Let f(x) = -2*x**2 + 186*x. Determine f(w(s)).\nAnswer: -903168*s**2 + 124992*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1620624 and 760.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 175 + -186. Let l(m) = -m**3 - 11*m**2 + m + 15. Let y be l(o). Solve -3*d - 5*c = 27, 0 = -3*d + y*c - 0*c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.1 times 6?\nAnswer: 288.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + -9. Let q be (-15)\/x*(-4)\/(-10). Let l = 30 - 29. What is the third biggest value in l, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9dc113 - 1a?\nAnswer: -9dc12d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 359*l + 1. Let n(c) = c + 9. Determine n(i(w)).\nAnswer: -w**2 + 359*w + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 = s + 2*s, 0 = -3*t - 3*s - 3. What is the tens digit of (-2 + -27)*-1 - t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11482 + -3406. Calculate the highest common factor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqae when four letters picked without replacement from elclaqea?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 5*h. Let t(k) = k**3 + 3*k**2 + 4. Let a be t(-3). Suppose 0 = a*x + 12 + 28. Let f be ((-12)\/x)\/((-6)\/(-20)). What is w(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3218, -3089, -2868, -2549, -2126, -1593, -944?\n\"Answer: y**3 + 40*y**2 + 2*y - 3261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r - 10. Let s(o) = -3*o + 10. Let u(x) = -5*l(x) - 4*s(x). Let t = 17 + -10. Give u(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 411961 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25811, 51439, 77069, 102701, 128335, 153971, 179609?\n\"Answer: q**2 + 25625*q + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 3) to base 7.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*1*sqrt(612))\/(-5*sqrt(36)\/sqrt(3)))\/((sqrt(54)\/sqrt(2)*5)\/((sqrt(9) + sqrt(9) + sqrt(144))*2)).\nAnswer: -36*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-2))\/(5\/10). Suppose d + k*d = -2*f + 50, -d + 5*f + 7 = 0. What is the remainder when 21 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = 0. Suppose 0*u + 2*u - 4 = c. Suppose -3*h - 14 = u*q - 4*q, 4*q + 5*h + 16 = 0. Let v(f) = -8*f + 1. Calculate v(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**3*y**3 + 1980*w**3*y + 2319706*w**2*y**4 + 4*w**2*y**2 - 31*w*y wrt y?\nAnswer: -6*w**3 + 55672944*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*z - 86*z**2 + 3*z**4 + 86*z**2 - 5*z**4 + 0*z + 0*z + (-2 + 1 + 0)*(-2*z**4 + 3*z**4 + z**4).\nAnswer: -4*z**4 + 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 5 - 83. Calculate the highest common factor of k and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 110 - 99 = -20*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -962*t**3 - 4*t**2 - 5*t - 4. Determine i(-1).\nAnswer: 959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 3*q - 32163 + 32161, -6*z - 26 = 3*q - q - q for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188, 737, 1656, 2945, 4604?\nAnswer: 6633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1.3 (b) 1\/3843 (c) -2\/7 (d) 5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 6. Let w = -13 + f. What is the third biggest value in 0.3, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 38*l + 802. What are the prime factors of v(0)?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + 1)\/(43\/(473\/154))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12809072 by -3202268.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -0.3, -0.08, 4\/7, -0.2.\nAnswer: -71, -0.3, -0.2, -0.08, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/1*(-7)\/21. Let u = 1 + q. Suppose 4*a = 3*y - 27, -224*a + 10 = 5*y - 219*a. Calculate the highest common divisor of u and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -128257.01378 and -6.\nAnswer: -128263.01378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 - 7300*q**3 - 6661250*q**2.\nAnswer: -2*q**2*(q + 1825)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s + 2*s - 6 + 6.\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -11.6. Which is the nearest to -1? (a) x (b) 3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 6. Give l(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**2 + h**2 - 5*h**2)*(-6*h**2 + h**2 + 4*h**2) + (4 - 5 + 2)*(h**4 - 2*h**4 + 3*h**4) to x*h**4 + b + u*h**2 + c*h + t*h**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/16060 and -9\/24820730?\nAnswer: 49641460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)*2*-3)\/(-3*(sqrt(162) - sqrt(2))).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22115.3 - 22115. Which is the nearest to 4.7? (a) x (b) -0.3 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037 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: How many micrometers are there in 9867.875mm?\nAnswer: 9867875","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -50, -109, -200, -329, -502, -725?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/5 (b) -2\/15 (c) 0 (d) -0.5 (e) 2.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(125) - ((sqrt(125) - sqrt(125)*-1 - sqrt(125)) + -5)) + -1*sqrt(125) + 0 + sqrt(125))**2 + -5)*-4.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12696019?\nAnswer: 7, 31, 41, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17101040*s**2 + 24199*s - 58.\nAnswer: -34202080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/(-2) + 3\/(-6). Let y(k) = -k**2 + 8*k - 8. Let a be y(6). What are the prime factors of 0\/a + l*1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.4, 0.1, 0.0231?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.015812 and -0.4.\nAnswer: -0.0063248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 55006, 54995, 54982, 54967, 54950, 54931?\n\"Answer: -h**2 - 8*h + 55015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1317*h - 214. Is v(49) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/((-2)\/(24\/(-44))).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -221095*g. Let k(c) = 32*c**2. Give k(y(w)).\nAnswer: 1564255968800*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmoddxomdddtmxdo. Give prob of sequence om.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-25)*3\/8*-20?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -1\/3*s**3 - 1\/12*s**4 - 1\/20*s**5 + 16*s**2 + 0*s - 1\/120*s**6 + 0. Suppose 3*w + j + 9 = 0, w + 3*j + 3 = -0. Give v(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 700 - 287. Calculate the highest common factor of x and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*s - 27*s + 2210. Solve 5*p - o - 21 + s = 0, 4*p + o = -14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 41181 - 41178. Find g such that -l + 8*g**2 - 7\/2*g**3 + 17\/2*g = 0.\nAnswer: -1, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + m + 1. Let t(b) = -b**3 - 9*b**2 + 10*b - 18. Let x(f) = -5*i(f) - t(f). Is x(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exnrennuexjenune. Give prob of sequence jex.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -71947.11738755.\nAnswer: -71946.81738755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -146?\nAnswer: 145.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/59, -51, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -8*f - 106 + 26, 0 = -2*f - 2*r - 26 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(0 + 2\/4). Suppose 4*m - 2 = 3*m, 0 = -5*o + m + 13. Put h, o, 2 in ascending order.\nAnswer: h, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 8 - -5 - -1. Factor 3\/5*d**4 + 0 + 0*d + u*d**2 + 3\/5*d**3.\nAnswer: 3*d**3*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9*z**2 + 1. Let n be s(-1). Suppose 0 = w - 21 - 49. What is the highest common factor of n and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4354.298m to micrometers.\nAnswer: 4354298000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1471, 3011, 4647, 6379, 8207, 10131?\nAnswer: 12151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 8*z + 14. Let r be t(6). Suppose 0 = 3*q - r - 4. Let o be 32\/((-24)\/90*q\/60). Round o to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20100 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h - 14. Let l be s(3). Let b be 10\/2 + l + 2 + 1. Suppose -b*u + 711 = -72. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -871, -3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1374*f + 115*f = 591*f + 1549*f + 139359 for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**5 - 61*r**4 + 17*r**3 + 1073*r**2 + 2216*r + 1220 = 0?\nAnswer: -61, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468684323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 9966?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-25))\/(255\/(-850))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-8 + -5 + 10 + -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -326842 less than 221?\nAnswer: 327063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6 = -0*v. Suppose v*b = 5*g + 76, 8*g + 54 = 2*b + 3*g. Calculate the remainder when 64 is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49765*v*z**2 + v*z - 2*v + 4*z**2 + 126892*z wrt v?\nAnswer: 49765*z**2 + z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8292*o**2*p**2 - o**2*p - 111*o**2 - 20*o*p - 105*o - 241*p**5 - 2*p wrt p.\nAnswer: 16584*o**2 - 4820*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200190 is divided by 254.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + (-7 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-1\/15)*j\/j**(-36) assuming j is positive.\nAnswer: j**(571\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1263 - 1142. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 30*w**2 + 3 - 4 + 6*w**2.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 1855, -26, -3?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*z**3 + 4*z**2 + 94*z**3 - 2*z**2 to the form g*z + b + a*z**2 + v*z**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118463 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/((r\/r**(-1\/4))\/r)*r*r*r**(1\/6)*(r\/(r\/r**(2\/3))*r)\/(r*(r*r\/(r\/r**7))\/r*r))**(-5) assuming r is positive.\nAnswer: r**(205\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1467, -1458, -1437, -1398, -1335, -1242?\nAnswer: -1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 - 20*j + 3. What is n(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**6\/g)\/g)\/g)\/g**2 assuming g is positive.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/25, -5, 1\/2, 5 in descending order.\nAnswer: 5, 1\/2, -1\/25, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62079279 and 1135?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 112 = -2*k, 3*d + 8*k - 3*k = 136. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6 = -0. Suppose 2*k = -10, 2*k = 3*h - l - 22. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from whhxxxmdwhhhqw?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b + b)*(15 + 27*b + 19 - 32) + (2*b - b + 0*b)*(3*b + b - 3*b).\nAnswer: 28*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 11*c**2 - 8*c - 7. Let l be i(9). Suppose -2*m + 2*g = -g + 103, 2*g = 2. Let a = l + m. Calculate the greatest common divisor of 22 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -150*k - 2401. Let x(m) = 281*m. Calculate i(x(h)).\nAnswer: -42150*h - 2401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 13*v + 2. Let b be l(-1). Let j = 21 + b. Solve j = -5*d - 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -64 - 11. Let f = -17 - n. What is the remainder when 37 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*n = -149*n - 143*n + 10045 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-4 + 5 + (sqrt(1100) - (-2*sqrt(1100) + 0) - 2*(-1 + sqrt(1100))))**2 + 1).\nAnswer: -4440 - 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22965 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 238.46 - 460.4. Let f = 215 + h. Let d = f + 0.34. What is d rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2043 and 19405549?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*m - 40*m + 36693 = 0. What is the remainder when m is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1547.\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30615 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*(sqrt(3) - -3*sqrt(363)) + 0 + (sqrt(3) + 2 + sqrt(12))*-4)**2.\nAnswer: 1368*sqrt(3) + 39024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 292*b**3 - 143*b + 22*b - 370*b**3 wrt b?\nAnswer: -468*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 at most as big as -0.0947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l + 393 = -135. Put l, 3, 4, 1 in descending order.\nAnswer: 4, 3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41048012149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 101*c**4 - 24*c**2 - 9322*c?\nAnswer: 1212*c**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 108692, 217381, 326070?\n\"Answer: 108689*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**5 - 4*g**3\/3 + 4. What is the third derivative of k(c) wrt c?\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 674 and 94?\nAnswer: 31678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1639, -6488, -14565, -25870?\nAnswer: -40403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2483, 2486, 2487, 2492, 2507, 2538, 2591?\nAnswer: 2672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 23, -1, -9, 2 in decreasing order.\nAnswer: 23, 6, 2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-6 - -7) + (8 - 11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-249)\/133 - (-1437)\/9101?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/290 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -91004, -363995, -818976, -1455947, -2274908, -3275859, -4458800?\n\"Answer: -90995*v**2 - 6*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1300) + 4 + -1 + sqrt(1300) + sqrt(1300) + -2*(sqrt(13) + sqrt(26)\/sqrt(2) + 1 + (sqrt(13) + 2)*5).\nAnswer: -21 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -32.\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 20*p + 8. Calculate d(-11).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.2 - 12.19999945. What is w rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g*x**5 - 62*g*x**2 + 17*g*x - 1451*x**6 - 2 wrt x?\nAnswer: -60*g*x**2 - 174120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/4 - 23127*h\/4 + 19155885\/2.\nAnswer: 3*(h - 5299)*(h - 2410)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*a = 92*a + 5*q - 1140, -4*a = q - 4598. List the prime factors of a.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38903 - 1711234629\nAnswer: -1711195726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -27 - (-4 + 1 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50.8 - 47. Round g to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-23)*y**(11\/3))\/(((y\/(y\/y**(-2\/51)))\/y)\/(y*y**(-5\/2))) assuming y is positive.\nAnswer: y**(-673\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - -7. Let h = c - 38.999918. Round h to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -0.3 (c) 3\/7 (d) -0.6 (e) -711\/11 (f) 5 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 105044 and -3.\nAnswer: -315132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -238.6999921 + 238.7. Round a to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*s + 313*s - 6*t = -20, 0 = s - 2*t + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least -54737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b + 496. Let a(g) = 5*g + 3. Give a(q) + 4*s(q).\nAnswer: 5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -60*v**5 - 132052*v**4 + 443885608*v**3 - 251615182400*v**2 - 218459200000*v + 33600000000 = 0.\nAnswer: -4200, -1, 2\/15, 1000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - 13. Let s be n(12). Suppose -3*h + 65 = s. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 6:21 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 69 = 21. Let f be (-4)\/(-2) - (-110)\/a. Let d = 3 - -2. What is the closest to 1 in f, d, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 2 = -16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -56*k**2 + 1727*k - 295. What is r(31)?\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 6 = n, -19 = -147*m + 149*m - n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 40692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 - 6*w**2 + 4*w - 6. Give l(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31210201 (base 5) to base 7.\nAnswer: 2120025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 614432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 92364662 to the power of 1\/2, to the nearest integer?\nAnswer: 9611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-5))\/l*((l\/(l\/(l**1*l))*l)\/l)\/l)**(-49))**(-5) assuming l is positive.\nAnswer: l**(-980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 2\/5, 4, 17?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a + 58*a - 222666*a**3 - 21*a - 16*a.\nAnswer: -222666*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 39, 62, 89, 120, 155, 194?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**6\/40 + x**5\/5 + 3*x**4\/8 + 7*x**2. Factor r(j).\nAnswer: 3*j*(j + 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**3. Suppose y - 6*o + 9 = -o, -5*y - o = 19. Let c = 20 + -15. Let u = y + c. Calculate g(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**5*d)\/d)\/(d**16\/d))\/(d**10\/(d*d**(-13))) assuming d is positive.\nAnswer: d**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 19*k - 15. Suppose u + 9 = -9. Let y be j(u). Let z(x) = x**3 - 3*x**2 - 2*x + 1. Calculate z(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1141254 by 57.\nAnswer: 20022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 21 = 2*x - 4, -40 = -4*r - 5*x. Suppose 6 = -r*i + 21. Let p be (-4)\/18 + ((-88)\/(-72) - -2). Solve -2*d = -p*d + i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -251101131 (base 6) in base 8?\nAnswer: -22271457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 988 + 392 = -25*z - 35*z for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*c + 7 = 0, -119*t + 21 = -118*t - 3*c. Solve k = -3*w - 2*k - t, 1 = k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21828.924475 + -21829. Round w to four decimal places.\nAnswer: -0.0755","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2323 - -2021. Suppose -2043 = 4*m - a, m + 0*a = 3*a - 508. Let x = w - m. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 2*g - 6*g)*(2 - 2 - 2*g) + (-4*g + g + g)*(0 + g + 0) + 4*g**2 + 2*g**2 - 4*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*v - 2*n, v = -4*n + 406 - 388 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -259360 divided by -20\nAnswer: 12968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 8*k**2 - 11*k - 16. Let n be z(-9). Find the second derivative of 5*c - c + n*c**4 - 10*c wrt c.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + y + 2 + 0)*(-y + y - 2*y) + (-y**2 + 0*y + 0*y)*(2 + 2 - 2) + 2*y**2 + 3*y**2 - 6*y**2 + 5*y**2 - 3*y**2 - y**2 + 3*y**2 + y**2 + y**2.\nAnswer: y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggzglgggg. Give prob of sequence lz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 754 = 1265. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-111) + (-944097)\/(-777) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7*4\/28 + 120 is divided by 58?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 10*r**2 + 7*r - 12. Does 26 divide o(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 364 + -361. List the prime factors of l\/5 - (-9 - (-3759)\/(-35)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.92, -2\/13, -2, -44\/15, -1\/2, -72, -0.3?\nAnswer: -44\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*(-80)\/4320*-54*(-2)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = 16935 - 72865. Is -1 + w + (-1 - (-12)\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-4 - (0 + -1 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/3*(42\/13104*108)\/3.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -29163\/5 greater than -5834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2547, -2567, -2587?\n\"Answer: -20*a - 2527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59543825219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -260*p - 7520. Let c be m(-29). Solve -c*b = b - 42 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:14 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 5*y + 4. Let v be n(5). Let b(r) = r**2 + 9*r - 5. Let x be b(-10). Solve 4*o + v = x*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (592 + -559)*(-13)\/(-312)?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from {t: 4, d: 2, r: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35632154 or -35632172?\nAnswer: -35632172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5828859, -5828855, -5828849, -5828841, -5828831, -5828819, -5828805?\nAnswer: -5828789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*c + 29*c - 10*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.55122 to two dps.\nAnswer: -4.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2759797072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 0. Let u be 1 - 2 - (5 + f). Put -3, 2, u in decreasing order.\nAnswer: 2, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 55. What is the remainder when g is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -23081022\nAnswer: -8\/11540511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*p**2 - p**4 + 16*p**3 + 93*p**2 - 61*p**2 wrt p?\nAnswer: -24*p + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n\/n**(-3)*n)\/n*n\/n**0)**(5\/21)*(n**(-1\/4))**(-14)*((n*((n**(-3\/8)*n)\/n)\/n*n)\/n*n)\/(n**(6\/7)*n) assuming n is positive.\nAnswer: n**(661\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.30187 centuries to months.\nAnswer: 3962.244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39853369.000857 - 39853654. Let m = h - -285. Round m to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0 + 9 = -m, -m - 4 = -b. Find the second derivative of b*i**2 - 7*i + 7*i**3 - 4*i**2 - i**2 wrt i.\nAnswer: 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11514, -17517, -23520, -29523?\nAnswer: -35526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 0, -52\/211 in descending order.\nAnswer: 19, 0, -52\/211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 431\/6 + -72. Which is the fourth smallest value? (a) 0 (b) 7 (c) 12 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 14) + 4 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884 = -144*b + 110*b for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**6\/60 - d**5\/6 - 2*d**4\/3 - 4*d**3\/3 + d**2. Solve p(a) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1472*y - 11 = -1483*y. Let q(b) = b - 10. Let a(w) = -5. Let l(m) = 5*a(m) - 2*q(m). Let d(s) = 1. What is y*l(h) + 6*d(h)?\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 14 = 4*p + 6, 4*p = -12. Suppose z*d - 30 = 5*s + 5, -26 = -3*d + 4*s. Calculate the smallest common multiple of 8 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.6 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5630 + 22520. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 - f**3 + f**3 + (-1 - 1 + 1)*(2*f**3 + f**3 - 5*f**3) - 14*f**3 - 1476*f**3 - 741*f**3.\nAnswer: -2226*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5443490*b - 12675. Let s(q) = 859*q + 2. What is 12675*s(h) + 2*t(h)?\nAnswer: 845*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 + 9978*g - 99560484.\nAnswer: -(g - 19956)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x + 16*x + 375 = 10*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8743 divided by -1?\nAnswer: 8743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - ((-1 - 1) + 2). Suppose -z - 14 = 2*p - 6*z, s = -p + z - 1. Let m = p + -1. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 82, 149, 264, 439?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8133.8 to the nearest one hundred.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 15*b = -20*b + 52, 95 = 3*c - b. Calculate the highest common divisor of c and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0, 3\/4, 3\/11, 1\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 12*w**2 + 5*w + 59. Determine s(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -434, -670, -906?\nAnswer: -1142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4464*d + 4444*d + 240 = 0 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 13, g: 5}. What is prob of picking 1 b and 1 g?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(21)\/sqrt(3)*1.\nAnswer: 2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 - 6170*c**2 - 18484*c + 24656.\nAnswer: -2*(c - 1)*(c + 4)*(c + 3082)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1660)\/15)\/(3\/(-9)). Let u = l - 194. Suppose -16*s = -10*s - u. Calculate the remainder when s is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -107, -32, 41, 112, 181, 248, 313?\n\"Answer: -q**2 + 78*q - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (49074\/(-15))\/(440\/(-275) + 12\/10).\nAnswer: 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 4*f**2 - f - 2. Let t be q(5). Suppose -4*s + t = 5*w, -2*w + s = -3*s + 4. Is (w\/3)\/(4\/114) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2479 divided by -1.\nAnswer: 2479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 3. Let x = -0.5 + -0.5. Let k = 4 + x. Put -1, k, s in decreasing order.\nAnswer: s, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 306 - 581. Calculate the common denominator of (-1012)\/y*(-5)\/10 and -27\/95.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 0. Suppose -57*i**3 - 12 - s*i**4 - 38*i - 22*i**2 - 53*i**2 - 10*i + i**5 - 4*i**5 = 0. What is i?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ootooytgo. What is prob of sequence oto?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 955118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 4714938\nAnswer: -471493.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y = -8 + 77. Let p = 0 - -2. Suppose -11 = f + y*c, -p*f + 3*c - 43 = 2*c. Do f and -19 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133)*1 + sqrt(133))*3 + -1*(sqrt(133) - 1*sqrt(133)))\/(-3*sqrt(14)\/(4*sqrt(2))))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5865, 11874, 17881, 23886, 29889, 35890, 41889?\nAnswer: 47886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 3*n**2 - 5*n - 4. Let l(h) = h - 9. Let o be l(14). What is the units digit of g(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 12:26 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11736\/378 - (-35)\/(-735)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwiiiiigigiiiwgwig. Give prob of sequence iii.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 20, 2.3, -2, 3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/15)*x)\/x*x\/x**12 assuming x is positive.\nAnswer: x**(-152\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -1, 2\/13, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 3 - 94104*b**3.\nAnswer: -94104*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 7*q - 17. What is the smallest common multiple of z(9) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -241.16386 to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/48 and 7\/4374404.\nAnswer: 52492848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssqqsqsrsrcqqcqqq. Give prob of picking 4 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 5*a. What is the third derivative of a*f**5 + f**2 - f**5 - 2*f**2 - 4*f**5 wrt f?\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/66)\/(65\/(-78)). What is the third smallest value in n, 5, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjh when three letters picked without replacement from {h: 1, c: 1, j: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**6\/120 - y**5\/30 + y**4\/4 + y**3\/2 + 6*y**2. Let c be l(-3). Does 6 divide (-3)\/(1*c\/56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, 1, 30\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1920\/(-1152))\/((-5000)\/180)?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-83 - (-15 - 38))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 20. Put 5, 1, i in decreasing order.\nAnswer: 5, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -491*d**2 + 491 with respect to d.\nAnswer: -982*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 10:37 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from sdttstduttudttts.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2 + 2 + (-7 + 2 + 2)*(0*y + 2*y - 3*y) + y + 6 + 0*y - 9)*(0 + 0 - 2)*(2*y + 7*y - 18*y).\nAnswer: 54*y**2 - 54*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 1206 = 3*q, -39*q + 35*q - 960 = 4*n. Suppose -2*u - 806 = -o, -2*o = 3*o - 10. Let v = n - u. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47257390*g**2*s**2 + 2*g**2*s - 104*g**2 + 2*g*s - 3798*g + 6*s wrt s?\nAnswer: -94514780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 14*r + 31 = -11*r - 2, -8*r - 30 = d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94055986?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(180) + -5 - (3 + -2 + sqrt(5) + 3)))**2.\nAnswer: -3960*sqrt(5) + 8856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29096 + 41563. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8089 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3003606?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 80061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4148 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 2, v: 3, y: 13}. Give prob of sequence vyc.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6177419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5, 4*k - 3*u - u = 28. Suppose q = -q + k. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172007 is divided by 85694.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210 (base 3) in base 2?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317*g + 49*g**2 - 84 - 317*g.\nAnswer: 49*g**2 - 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 + 106. Let g = 55 - p. Calculate the common denominator of 4\/g - (-483)\/144 and 79\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 17*b**4\/4 - b**3\/3 + 36. Find the third derivative of c(p) wrt p.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3207442060.\nAnswer: 2, 5, 19, 8440637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -3443?\nAnswer: 3\/3443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -577861, -578046, -578227, -578404, -578577, -578746, -578911?\n\"Answer: 2*p**2 - 191*p - 577672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-9) - (-5)\/3. Suppose 2*c = -19*r + 17*r + 54, -c + 24 = l*r. What is the smallest common multiple of c and 39?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -102, 0, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 679373357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18387.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4025012 and 5031265.\nAnswer: 20125060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -20285942\nAnswer: 101429710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 309160445 to the power of 1\/2, to the nearest integer?\nAnswer: 17583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express u - 262 + 130 + u**3 + 131 as r*u**2 + i + n*u + x*u**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23467 + -2\nAnswer: 23465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -5) + (2 - 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*j + 152, 6*c = 3*c. Let k = 240 - 219. Let g = k - j. What are the prime factors of g?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11949 + -11948. Which is greater: u or -3\/919?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565802.6 millimeters in centimeters?\nAnswer: 56580.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12402 (base 12) in base 11?\nAnswer: -17679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 391 = 4*q. Is q a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-120))\/((-1)\/((-18)\/4))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -19*c + 242. Let z be t(-8). Let q = -388 + z. Are q and 1\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + m**3 + m + m + (0 + 2 - 6)*(6*m**3 - 68 + 68) - 2*m - m**3 + 2*m - m**2 + 2*m**3 + m**2 + (-2*m**2 + 5*m**2 + 0*m**2)*(5*m - 3*m - 4*m).\nAnswer: -28*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 2339*o**2 + 11709*o - 3. Determine b(-5).\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 218.07 times 7849\nAnswer: 1711631.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*x + 73 = -2*x, 4*c - 5*x = -105. Let i be (-1 + -1)*c\/10. Suppose -k = -i*k. Solve k = -2*j + 3*j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -12*g**3 - 11*g**2 - 20*g + 7. What is the units digit of i(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*r + 4268 - 2648 = 0 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/21 - (-2)\/7)\/3. Suppose 3*c - 9*c + 300 = l. Let w = 50 - c. Solve w = -3*v - 1 - 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than or equal to 246686\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1175577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -826*a + 1648*a - 12 - 794*a to j + c*a and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749533629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uoy when three letters picked without replacement from {u: 1, y: 1, o: 1, q: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**8\/2520 - 17*o**6\/540 + o**5\/5 - 5*o**4\/9 - 173*o**3\/3 + 145. Let q(s) be the third derivative of c(s). Solve q(w) = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21235.\nAnswer: 5, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75202 is divided by 632?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1. Let x(g) = 5*g + 25. Let m(a) = 2*u(a) + x(a). Let c be m(-5). Suppose -1\/5*j - 1\/5*j**c + 2\/5 = 0. What is j?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 347 - 324. Suppose y*c - 4*c = 3515. List the prime factors of c.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 + -74. Solve 3*n - 4*f = 35, -4*f + 3*f - z = -5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -23*u**2 + u. Let n(g) = -7*g - 2. Let m(d) = -36*d - 12. Let k(j) = m(j) - 6*n(j). Determine q(k(c)).\nAnswer: -828*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -68 + 132 - 4*c**2 - 2*c**2 + 7*c + 0*c**3 + c**3 - 68. Let h(j) = j**3 - 3*j**2 - 2*j - 4. Let a be h(4). Calculate g(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llaa when four letters picked without replacement from {l: 5, k: 1, a: 11}.\nAnswer: 55\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12042 + -12042. What is the closest to 2\/123 in -2\/13, -1, r, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 - 26*t**2 + 8*t - 104. What is j(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 1) + 3370\/(-10). Let f = -195 - t. Let v = -96 + f. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-4 + 2) - -6) + (10 - 5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 58240.15 minutes in seconds?\nAnswer: 3494409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 40 = -16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140044553?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -12. Let i be (-33)\/22*(-1 + -1). What is the remainder when u is divided by ((-27)\/6)\/i*-6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -1\/3, 1, -27\/20, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111010 (base 2) to base 9.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 309394435\/60537 + 55\/40358. Let n = r - 5123. What is the common denominator of n and 4\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.9 to 0 decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**4 - 206740*p**3 + 121251924*p**2 - 23825466044*p + 1562530752248 = 0. What is p?\nAnswer: 197, 51094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*r - b - 42, 133*r - 136*r - 33 = 4*b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 444 - -110434112?\nAnswer: 110440111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*h - 8 = 6, 4*o = 2*h + 28. Let q be o + 4*3\/(-6). Suppose q*i = -i + 100. Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104 - -362. Suppose 4*c + 61 = 5*x + p, 0 = -3*x - 3. What is the remainder when c is divided by (-13)\/((-702)\/984) - 4\/18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*sqrt(5)*3 + -4.\nAnswer: -6*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -122 + 9?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 629 + -362. Let j = 345.4 - k. Let f = 78 - j. Sort f, 3, 0, -0.01 in descending order.\nAnswer: 3, 0, -0.01, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 7*l + 2*l)*(3 + 0 + 5)*(6*l**2 - 3*l**2 - l**2) - l**3 + 0*l**3 - l**3.\nAnswer: -98*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 10:35 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2172)\/(-15))\/(4\/10). Let r be (w\/4)\/(9\/(-18)). Let h = r + 344. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/30)\/(2*(-2)\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 10:49 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 124460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(432) + -4 - (sqrt(108))**2*-4))*-6.\nAnswer: -2538 - 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -83 + 71 + (-2 - -7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f + 60275 = -1695*f - 687*f for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**5\/30 - 11*r**4\/12 - 7*r**3\/3 + 4*r**2 - 42*r. Calculate the least common multiple of 70 and k(12).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23 - (2 - (2 - -1)). Suppose 0 = 5*y + 109 - 469. What is the highest common divisor of v and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 34\/8)\/((174 - 170) + 272\/(-64))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -5. Let u(o) = o**3 + 8*o**2 - 2*o - 2. Let d(b) = b**2. Let y(r) = p*d(r) + u(r). What is the units digit of y(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5*m + 94 = 0, -3*w - 3975 = -9*m - 4113 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2136 is divided by 49.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03823 - 3.53923. What is l rounded to one dp?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2054264*l**4*q + 17*l**2 - 410*l + q wrt l.\nAnswer: 49302336*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 3)*(12*j**2 + 6*j**2 + 2*j**2) to n*j**2 + a + t*j and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-23)\/(g\/(g\/g**25)*g)*(g**26*g)\/g**4 assuming g is positive.\nAnswer: g**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -42*a**2 - 34*a + 39. Let q be l(30). What is the hundreds digit of (-5)\/(-25) + q\/(-45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -588.78 to the nearest ten.\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.25\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001073352 rounded to 6 dps?\nAnswer: -0.001073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -30023203013 (base 4) to base 13\nAnswer: -87a48a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k + 4 - 13*k + 30*k - 1 + 15*k. Let m(h) = -18*h - 1. Let v(o) = -2*j(o) - 5*m(o). Determine v(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)*o**(-2\/9))\/(o**6\/o**(-3)) assuming o is positive.\nAnswer: o**(-155\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) 2\/7 (c) -3 (d) -438 (e) 32 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/53 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**5\/3 - 29*o**4 + 34*o**3\/3 + 2980*o**2\/3 + 1336*o - 2080\/3 = 0?\nAnswer: -4, -2, 2\/5, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pss when three letters picked without replacement from {s: 6, p: 7}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 125897 or 125895?\nAnswer: 125897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, -4, 12516045 in descending order.\nAnswer: 12516045, -4, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63124.3ml to litres.\nAnswer: 63.1243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6)*g)\/g*g)\/g*g**(-9\/4) assuming g is positive.\nAnswer: g**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15\/(9\/1326*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 12:47 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o - 4*o**2 + 3*o + 13*o + 3*o.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 173 - 226. Let o = r + 267\/5. Which is the fourth biggest value? (a) -18 (b) 2 (c) -3 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16820, -33651, -50482, -67313, -84144?\n\"Answer: -16831*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -10*y + 40. Let l(b) = b**3 - 2*b + 3. Let k be l(0). Solve -4*t = 4*w + y, -k*w + 3*t - 25 = -1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*(-2)\/10*(1 + 1). What is the remainder when (a + -4)*115\/(-15) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (0\/(-4))\/4 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 170 = p, -3*h = 4 - 1. Suppose -658 + p = -10*k. Calculate the remainder when k is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 7*a**2 - 4*a - 10. Suppose 4*c = 7*c - 18. Let s be z(c). Which is bigger: s or 1\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 1:11 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 - 3*o**2 + 2*o. Let s(x) = x**2. Determine -g(l) - 3*s(l).\nAnswer: -2*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 19*h + 2867. Does 9 divide y(-69)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.014 - -0.014. Let s = -96 + 97. Which is the closest to s? (a) -5 (b) -0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6034473 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 86 and 88 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 4, -5, 29, 1\/3 in descending order.\nAnswer: 29, 4, 1\/3, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxxghllgxt. Give prob of picking 1 g and 1 x.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1822.6 - -1823. What is the closest to 1 in v, 43, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 134*s + 3. Let k be w(67). Solve k*z = 4*r - 32, -4*r = 394*z - 389*z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.28875l to millilitres.\nAnswer: 15288.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.316 times -3\nAnswer: -0.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6) + 42\/18. Suppose -o*n - 11 + 65 = 0. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 3*f + 27)*(-1 + 2*f**3 + 1) - f**4 - 3 + 3 + (f - 4*f + 2*f)*(7 - 7 - 5*f**3) - 2*f**3 + 3*f**4 + 2*f**3.\nAnswer: 13*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*d - 21 + 6, -4*h - d - 21 = 0. Suppose -6*f = -f - 285. Let g = f + h. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1200)*-3)\/(sqrt(150) - sqrt(150)*1*-5).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 4*a - 6*a)*(-2 - 1 + 0) - 229*a + 475*a + 39*a in the form i + m*a and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 348593 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.085911l?\nAnswer: 5085.911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102 + 0?\nAnswer: -10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**3\/6 - y**2\/2 - 2*y - 3017. Let h(z) = -4*z + 7. Calculate -h(d) - 2*s(d).\nAnswer: 6*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 3. Let g(k) = -2*k + 6. Let u(h) = -6*g(h) + 13*s(h). Let f be u(-6). Suppose 5*p - 51 = f. Solve 8 = 5*a - p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-3\/17))*u*u**(10\/13))**(-6\/7) assuming u is positive.\nAnswer: u**(-2112\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6495 or 6492?\nAnswer: 6495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*c - 717 = 2*c, 3*a - 723 = 3*c. Suppose -2*f = 2*n + 424 + a, -5*f = 4*n + 1330. Round n to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 1\/4, -588, 0.3, -8\/3?\nAnswer: -588","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*a**4*y - a**4 + a**3*s + 62*a**3*y + 5363*a**2*y - 4*a*s*y - s*y wrt a.\nAnswer: 1080*a*y - 24*a + 6*s + 372*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 47 = -21*z. Solve -z*b - 9 + 1 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -17*m**2 - 5*m + 45*m**2 + 4 - 13*m**2 - 16*m**2. What is s(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - 4*g**3 + g**3)*(-741*g**2 + 40*g - 11*g + 744*g**2).\nAnswer: -6*g**5 - 58*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 11*z + 29. Give i(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 667610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.1, 0, -0.2, -3\/7, 273?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 6. Let x be k(-6). Suppose -5*r + 6*l = 4*l + 25, 3*r + l + 4 = x. Let q be 0 + 0*(-2 + 3). Which is the nearest to q? (a) -0.2 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)*d*d**27*d*d)\/((d*d\/(d**(-6)\/d))\/d*d**(2\/21)) assuming d is positive.\nAnswer: d**(355\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -563, 1352, 3267, 5182, 7097?\nAnswer: 9012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 354227041 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, -787, -3, 0.3 in ascending order.\nAnswer: -787, -3, 0.3, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.35 + -0.043?\nAnswer: -22.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-80)*3\/(3\/(-2)). Sort -0.2, -4, q, -1\/7 in increasing order.\nAnswer: -4, q, -0.2, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478*r - 1003 - 995 + 1998.\nAnswer: -478*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4878 and 30?\nAnswer: 24390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96505 + 49511.\nAnswer: 146016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-52)\/(-91)*(-3)\/36. Let f = 16.7 + 2.8. Let w = f + -20. What is the closest to -2 in a, 1\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 42168404, 42168403, 42168402, 42168401, 42168400, 42168399?\n\"Answer: -p + 42168405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from acac?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 3*i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 15*v = -28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 5*k**2 - 3*k - 5. Suppose -5*n + 33 = 3*d - d, 5*d + 4*n - 74 = 0. Suppose d = -5*q - 11. Is t(q) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(6*sqrt(64)))**2 + 2 + (0 + sqrt(1573) + -4*sqrt(52)\/sqrt(4))*3 + -3.\nAnswer: -563\/576 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/5, 0, -36, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 374, -124, -622, -1120, -1618, -2116?\n\"Answer: -498*a + 872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 3*q + 15, -2*q - 3 = -5. Solve b + l + 14 = t*l, 0 = -b - l + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.922766nm?\nAnswer: 0.000000000002922766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31.0000092 + -31. Round l to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -429783 smaller than -429784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 11*m. Suppose 3*q + 30 = -3*f, -4*q = -f + 3*f + 16. Let p be f\/(3\/(-9)*-3). Is b(p) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, -31, -86, -195, -376, -647, -1026?\n\"Answer: -3*f**3 + 2*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3, -11 in increasing order.\nAnswer: -11, -3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, a: 1, u: 1, n: 1, h: 2, o: 3}. Give prob of sequence hnh.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 8*p**2 + 4*p - 3. Let z be i(8). Suppose -4*l + 38 = -5*d + 8, z = 5*l - 2*d. Solve -2*y + 7 = l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 3:39 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32818930691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - c**2 + c**4)*((2 + 1 - 5)*(c - 2*c + 2*c) - 4 + 4 - 4*c).\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b7 + 756f?\nAnswer: 7626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -11*h + 85. Give v(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Let b(w) = -8*w**2 + 0*w**2 + 6*w**u. Let t(v) = -3*v**2. Determine t(b(q)).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*u - 10 = 0. Factor 2\/11*l**u - 4\/11 + 2\/11*l.\nAnswer: 2*(l - 1)*(l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -1.1. What is the nearest to -2 in 2\/3, 4, w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(48)*4)**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107293647 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.092281l in millilitres?\nAnswer: 4092.281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6868865*f + 105018624 wrt f.\nAnswer: -6868865","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 36.14. Is r greater than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Suppose -6*u + u = -o*i - 20, 3*i = 3*u - 21. Let x(q) = -10*q + 4. Let z be x(-3). Solve 3*k + j + 18 = 0, -3*k - u*k - z = 3*j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 524*p**3*r**2*t - p**3*r**2 + p**2*t + p*r**2*t - 6*p - 2*r**2 + 22*r - t wrt p?\nAnswer: 3144*p*r**2*t - 6*p*r**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Suppose 0 = -d + 5*w - 17, 0 = -5*d - w - a*w - 85. Let y = 234 - d. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 204 = -12*x. Let s be -3 + x\/3 + 31*-1. Which is greater: s or -32?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 103*g**2 + 2415*g + 98. What is a(-36)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5.7.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**5\/60 - 2*i**4\/3 - 37*i**3\/6 + 8*i**2. Let s be g(-13). Solve -s*x + 4 = -0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**6\/72 - 7*w**5\/24 + 5*w**4\/2 + 29*w**3\/2 - 141*w. Let n(a) be the second derivative of l(a). What is c in n(c) = 0?\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 6, 10374, -5, 0 in ascending order.\nAnswer: -5, 0, 2, 3, 6, 10374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 7. Suppose 0 = -d + 2*i, -4*i - i = 2*d. Suppose z = -d + 5. Let s be r(z). Which is smaller: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*z**3 + 51.\nAnswer: -57*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116011633?\nAnswer: 8111, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0695102 to four dps.\nAnswer: 0.0695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17737751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38\/595 + 6\/119. Is w greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22\/3737 - 167785\/1334109. Find the common denominator of 91\/102 and o.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 2 (b) -52 (c) -21 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30140 - 1?\nAnswer: 30134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**6\/360 - 4*j**3\/3 + 3*j**2\/2 - 27. Let o(k) be the third derivative of i(k). Let m(t) = -48*t. Calculate m(o(z)).\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-4))\/((-1596)\/(-19152)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3408 - -b5b?\nAnswer: -2469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - (sqrt(432) + -2)**2 - sqrt(15)\/(sqrt(55)\/sqrt(11)).\nAnswer: -436 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63057 + -62963.043. Let z = 94 - d. What is z rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -270 + 274. Let p = 79.1 + -78.6. Put 2\/9, x, p in decreasing order.\nAnswer: x, p, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4\/5, 5, -0.552?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 - 1.9. Which is smaller: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.19 (b) 3\/4 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 - (-10 - (6 - 16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42073915 to the power of 1\/2, to the nearest integer?\nAnswer: 6486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 - 17*y**2 + 4*y + 140. Determine m(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1375\/(-44) + 2)*(-16)\/(-12) + -4.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5166935*o**2. Let x(h) = -h**2. Determine l(x(z)).\nAnswer: -5166935*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2634 - -2683. Calculate the remainder when w is divided by (1 - 0)*17\/1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4497922047.\nAnswer: 3, 61, 2749, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (280\/30)\/((-4)\/(-18)). Calculate the highest common divisor of 378 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -4*x + 5*a, -4*a + 47 = -2*x - 5*a. Suppose -52 = -3*p + p. Let n = p + x. Sort n, -2, -2\/11 in descending order.\nAnswer: n, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -369*r - 205*r + 1 - 302*r + 46*r - 613*r to the form z + t*r and give t.\nAnswer: -1443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdyy when four letters picked without replacement from {d: 3, p: 1, y: 2, t: 1, j: 5}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*f + 44*f - 9*f + 54 + 0*f wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 58*u - 2. Let w(f) = 12*f - 1. Determine j(w(h)).\nAnswer: 696*h - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 68*d**2 + 9*d + 4. Let s(k) = 102*k**2 + 14*k + 6. What is -5*s(q) + 8*t(q)?\nAnswer: 34*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3529924518?\nAnswer: 2, 3, 588320753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (42\/35)\/(14\/(-35))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228330 - 228330 - 7*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -41*u + 3089. Give l(75).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 97498 and 48166390.\nAnswer: 1974821990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2443285?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 1. Let o be (315\/140 + 3\/12)\/(29\/2). Which is greater: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-167 - -169) + (1 - 1 - -4). Let j(x) = 7*x - 33. Give j(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0. What is the biggest value in 0.5, -0.1, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 54\/12*8\/6. Suppose j = -j + n. What is the remainder when 5 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 52, 4 in decreasing order.\nAnswer: 52, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -16*j**2 + 0 - 1\/10*j**5 + 3*j**3 + 0*j**4 + 0*j. Differentiate z(s) wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u - 4, 3*x + 2*u = 1657. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 3. Let w(h) = 4*h - l*h - 4*h + 4*h + 4. Let g be w(-3). Solve -3*m + 4*m = -g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12677 + 12493. Which is bigger: -6 or u?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 - 4 - (-10 - ((48 - 51) + (-1 - -8)))?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*v + 22*v + 77*v.\nAnswer: 47*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0563 and -31.94.\nAnswer: -31.9963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 1:22 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14828*t + 29641*t - 14601*t - 6)*(t + 3 + 2 + 0) to the form c*t + q + g*t**2 and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 - 2*b**2 + 1. Let m be l(-1). Let j = m + 1. Solve -p + 2 = -2*w, 4*w + j*p - 4 = -0*p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013817 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 28*v**2 - 29*v + 56. Let i be k(27). Let d be ((-393)\/39 + 9)\/(i\/1). Which is greater: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -443610.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4154.1 - 4154. Which is the closest to v? (a) 1\/2 (b) -3.1 (c) 2\/15 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -47*v - 282. Let q be s(-6). Solve 16*y - 18*y = q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 608?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794307?\nAnswer: 3, 264769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -0.1, -4, 1169?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 18 = -2*g - j, -3*g + 4*j + 36 = 0. Calculate the highest common divisor of g and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 3*s**2 + s - 1. Let z be y(2). Let o be (-4)\/10 - (132\/330)\/(4\/(-16)). Which is the closest to -0.1? (a) z (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1136*j + 1141*j - 70 = 0 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/17 and -65\/417.\nAnswer: 7089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*z - 5*t + 5, 0 = -2*t - 6. Suppose z*l = c - l + 26, -2*l - 32 = 4*c. Let a = c + 65. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeaaekeo. What is prob of sequence ek?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20\/9, -2, 0.1, -4.\nAnswer: -4, -20\/9, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + s**3 + 2*s**3)*(-689 - 1736 - 205).\nAnswer: -2630*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 0*n**2 + 0*n**2. Let t(j) be the third derivative of -4*j**2 + 0 + 0*j + 0*j**3 + 1\/12*j**4. Determine b(t(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -615\/8 - -77. Let s(d) = d**3 + 5*d**2 - 5*d + 5. Let p be s(-6). Which is the closest to p? (a) 0 (b) u (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 7. Let d(p) = -p**3 - 10*p**2 + 10*p - 10. Let b be d(k). Let z = 83 + -82. What is the highest common factor of b and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*a, 15 = -24*i + 28*i - 3*a. Solve i*p + k + 8 = -0*k, 4*p + 5*k + 29 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1624*x + 70675. Let k(b) = b. Determine w(k(s)).\nAnswer: 1624*s + 70675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/12439 and -19\/34685.\nAnswer: 61635245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 209955319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 690.8742 millilitres in litres?\nAnswer: 0.6908742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18541 + -11251. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3024 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s. Let r be y(1). Let v(o) = 4*o**2 + 3*o + r + o**3 - 4*o - 3 - 2*o**3. Let a(j) = j**2 + 3*j. Let m be a(-4). Determine v(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*f + 498, 17 = 3*c + 4*f - 725. What is the highest common divisor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 5*v**2 + v - 5. Let l be p(5). Let n = -2\/63169 + 63227\/1831901. Which is smaller: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 + 5138*j**2 + 15421*j\/3 - 30830.\nAnswer: -(j - 15415)*(j - 2)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5))\/((-14)\/(-350)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6552692743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 633701496 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)\/g)**(-3\/10)*g\/(g\/(g\/(g*g*(g\/(g**4\/g)*g*g)\/g)))*g\/(g*g**(-1\/3)\/g))\/((g*g**(-1)*g)**50)**(-1\/17) assuming g is positive.\nAnswer: g**(1243\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-12)*((-2832)\/(-160))\/(-59)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -3.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31456 divided by -887?\nAnswer: -31456\/887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 261007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -140910\/109 or -1294?\nAnswer: -140910\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 7. Let s = -12 - g. What is the least common multiple of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25470 by 6.\nAnswer: 4245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 86 = -180. What is the first derivative of -12*s - 67 + 95*s + 111 + o*s wrt s?\nAnswer: 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2338*p + 100 = 4*g + 2332*p, 3*g + g + 2*p - 100 = 0 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 11*l + l)*(-4 - 1 + 6)*(40 - 41 - 4*l - 3*l) - l**2 - 4 + 4 + (l + 3*l - 2*l)*(-2*l + 4*l + 0*l).\nAnswer: 80*l**2 + 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u - 15. Let k be s(14). Let d = k + -38. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 p when four letters picked without replacement from {s: 1, e: 1, d: 1, p: 2, o: 5, g: 6}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 293 - 173. Suppose 4640 = 5*n + 3*d - d, n - 928 = d. Let r = 958 - n. What is the highest common factor of r and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 40 - -3?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.167 + -14.233. Let n = -13 - h. What is n rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1346 - -857. Suppose w = -4*a + 11151. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 9*h + 135. Let m be (-2 - (-56)\/10)*-5. Let u = h + m. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, 5, 27, 71, 143?\n\"Answer: f**3 + 2*f**2 - 7*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -151023154 divided by 17086\nAnswer: -8839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from {o: 2, q: 1, l: 2, k: 2, t: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 7835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 182627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/36, 32, -0.4, -4\/5, -6, -2 in ascending order.\nAnswer: -6, -2, -4\/5, -0.4, -1\/36, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.3981 rounded to 1 dp?\nAnswer: 165.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/20*(300 + -296).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/7? (a) -3\/31 (b) 0.124 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/623, -4, 5, 19?\nAnswer: 2\/623","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18606671365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41205269449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2624557 divided by -4\nAnswer: -2624557\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-4) + 596\/2. Solve 2*u = -35*u + n for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 2*s - 3*s**3 + 3*s**3 - 2*s**3 in the form d*s**2 + j*s + q + p*s**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108*i**5 + 258*i**5 + 2*i**6 - 441*i**2 - 123*i**5 wrt i.\nAnswer: 240*i**3 + 1620*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 12, 4 = 2*z + c - 14. Suppose -z*t = 3*t - 28. Let j(h) = -h**2 + h + 2. Let x be j(t). Which is smaller: 4\/11 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1079, 2165, 3253, 4343, 5435, 6529, 7625?\n\"Answer: q**2 + 1083*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(252))\/(sqrt(81) - sqrt(81)*1 - sqrt(81))*1.\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 23*m + 21*m = -10, -4*y + 3*m = 45. Are 810 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -289 + 556. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -193 (b) -50368 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82707 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 348\/(-144) - (-1)\/(1\/4). Is 2 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 209525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 12*u. Let q be r(1). Suppose -2*k - q = -3*k. Let v(d) = 1 - d + k*d**2 + d - 2*d + 0*d. Calculate v(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 13) + 1 + -79 + -18 + 130.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2. Let y = -11 + 10.5. Let h = y - -0.7. Which is the second smallest value? (a) m (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-15)\/30 - (3 - 13\/4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**5\/180 - w**4\/12 - 10*w**3\/27 - 2*w**2\/3 + w + 28. Suppose m(a) = 0. What is a?\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 79 (c) 3 (d) -4 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -2, -397, 1, -16 in decreasing order.\nAnswer: 36, 1, -2, -16, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69187*w = 69199*w - 3408. What is the remainder when 576 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 - 4 + 14*x + 3*x**3 - 11*x in the form s*x + v*x**2 + w + b*x**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 680785.6km?\nAnswer: 68078560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 16\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 2*m + 6, -3*d = -4*m - 282 + 303 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/10367782 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 4*a**2 - 3*a - 6. Let o be h(-4). Let w(u) = u**2 - 6*u + 20. Let i be w(o). Solve 4 = 4*z + i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -7 + (-1 + 0 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**3 + 2. Let b(r) = 5*r - 8*r**3 - 4 - 1 - 5*r. Let q(f) = 3*b(f) + 5*u(f). What is the derivative of q(x) wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*x + 2*x. Suppose -v = -5*w + w + 2070, 0 = 3*w - x*v - 1557. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 200883190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48951?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1483699834?\nAnswer: 2, 741849917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14465.\nAnswer: 5, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-24)*(-66)\/(-2 - 0). Let x = j - 3. Calculate the lowest common multiple of x and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 5*y + 21, -6*s = 29*y - 31*y - 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 13. Suppose 0 = -3*d - 3*p - 1356, 17*d + p = 22*d + 2230. Let z = d + 467. Solve -8*q - z = -j*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -235*i**3*m*p**3 - 272894*i**3*m*p + 24883*i**2*m*p**2 - i**2*m - 2*i*p - 14*m*p**3 + 8*p**3 wrt i.\nAnswer: -1410*m*p**3 - 1637364*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4828 is divided by 2404?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 9 - 8 + 24*n - 23*n + 20. Suppose -2*u - 5*h + 57 = 2*u, 3*h + 27 = u. Calculate the smallest common multiple of z(6) and u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/4 (b) 0.1 (c) 1\/3 (d) 71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 762587*x**6 + x**5 - 14*x**3 + 2469*x**2 + 11851*x - 3?\nAnswer: 91510440*x**3 + 60*x**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 193\/4 - 48. Which is greater: k or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2 + 2)*(8 + 15 - 6).\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*s - 125. Suppose q = 3*x - 59, 6*x + 4*q = x + s. Solve x = 5*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.4405 to 0 dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/12)*a**(5\/6))**(-8\/7))**(-1\/6) assuming a is positive.\nAnswer: a**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -3034984.\nAnswer: 1\/758746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/2*(-36)\/15. Suppose 20364 = -2*p - d, 5*p + 50904 = 2*d - y*d. Let i = 81573\/8 + p. What is the common denominator of i and 10\/19?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 65917 and 0.3.\nAnswer: 19775.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b - 6*b + 6*b**3 + (0 + 1 - 2)*((b**2 - b**2 - 2*b**2)*(2*b - 2*b + b) + 3*b**3 - 4*b**3 + 0*b**3) in the form w*b**2 + k*b**3 + y*b + p and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13288 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*u - 272 = 0, 2*u - 13 = -3. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 144734 = -144650 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4376 (base 8) to base 6.\nAnswer: 14354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174 + 171. Let p(f) = -219*f**3 + 2*f**2 - f + 1. Is p(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3, 3*z = 6*z + 4*s. Let w(j) = j**3 - 8*j**2 + 6*j + 7. Let y be w(7). Suppose 5*r + 0*r - 5 = y. Solve -3*t - r = -z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1719 = 2*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 120*h - 477. Let f be r(4). Suppose 9 = -3*i - 0*i. What is the closest to -2 in i, -5, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38.9852 - -39. What is k rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -14*x - 109. Let d be b(-8). Solve 0 = -2*z + 3 + d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 112 = -2*m + 4*c, -5*c - 58 = -m. What is the remainder when 96 is divided by m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m - 182 + 86 + 36.\nAnswer: 8*m - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(0 + 0 - 4)*(1 + 0 - 2)*(-5 + m + 13 + 6).\nAnswer: -4*m - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.59 - -0.19. What is the second biggest value in 5, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from slskksrlkll?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 77, 186, 323, 494, 705, 962, 1271?\n\"Answer: c**3 + 8*c**2 + 78*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 + 9*f + 8. Let b = 10 + -16. Calculate the remainder when n(b) is divided by (20\/(-4))\/(1026\/96 + -2 + -9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 1\/3*n**3 + 3*n**2 + 7*n - 3. Let d be v(-5). Solve -23 = -3*x + 4*t, d*x + 5*t = -3*x - 20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -201 or -190?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2244 and 6306.\nAnswer: 2358444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 856482 is divided by 197.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15084317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-3)\/((-54)\/12))\/3*9\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 50 - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10844091 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 662, 660, 648, 620, 570?\n\"Answer: -w**3 + w**2 + 2*w + 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**5\/24 + 5*x**4\/12 - 47*x**2. Determine p so that j(p) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + -5 + 4 + -2. Let y = q - -17. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 315*a**2 - 9*a - 10. Let l = 3 - 18. Let g be f(l). What is g rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6945\/7 >= -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/(-84) + (-34346)\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*q - 30*q - 33*q - 24*q as y*q + n and give y.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 5*k + 27, -9 = k + 4*i + 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 6, 2, -4 in descending order.\nAnswer: 6, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -20*((-4)\/(-2) + (-12)\/5). Suppose -6*p = -10*p - 2*x - 4, 4*p - 4*x = s. Let i(b) = -b**2 + 8. Calculate i(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107711 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8209 less than 1.09?\nAnswer: -8207.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3\/8, 2\/7, -1.9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-2*p + p - p - 3*p + p + 0*p - 2*p + 0 + 0 + (0 + 0 + 2)*(p - 3*p + 0*p) + 0 - 2*p + 0 + 3*p - 3*p - 2*p + p - 1 + 1).\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0134306 to 4 dps.\nAnswer: -0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1\/10))\/y)\/y*y)\/y*y*y\/(y\/(y*y\/(y*y\/(y\/(y**(5\/4)\/y)))*y)) assuming y is positive.\nAnswer: y**(33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**4\/12 + 2*k**3\/3 - 16*k**2 + 23*k. Let m(h) be the first derivative of t(h). Let i(r) = 2*r. Give m(i(f)).\nAnswer: 4*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/17, -1.1, -0.03?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 11*a**5\/15 - a**3\/3 - 27*a**2. Find the first derivative of r(t) wrt t.\nAnswer: 88*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l. Let z(p) = -32453*p**2. Determine z(g(f)).\nAnswer: -32453*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/485 and -163\/3354.\nAnswer: 1626690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4024 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 2*j - 3*j + (5 + 6 + 1)*(3 - j - 3))*(4 + 3 - 2*j - 5) to i + z*j + l*j**2 and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7110, -12325, -17540, -22755?\n\"Answer: -5215*m - 1895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 2088*d - 289664.\nAnswer: 2*(d - 1168)*(d + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1170469*m*q**3 + 347*q**3 + 1196*q**2 + q wrt m?\nAnswer: -1170469*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 65580, 10, 2\/7, -0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*g - 852 + 850 - 71*g.\nAnswer: -290*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 19*h**2 + 21*h - 11. Is 19 a factor of t(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 + (-13 + 7 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 143 + -291. Let f = 150 + i. Let x = 2\/5 - 1\/15. What is the third smallest value in f, x, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108.324251 - -108.19. Round p to 3 dps.\nAnswer: -0.134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78183 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 4:10 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4235 + -1.2235. What is the third biggest value in x, 9\/2, -1\/3, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (204\/85 - (-693)\/(-45)) + -18?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359*g + 722*g - 1784*g**2 - 362*g.\nAnswer: -1784*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*r = -4, -4*r - 4 = s - 23. Suppose s*w - 14 = f - 3, 2*w = -2*f - 6. Sort f, -118, -4, -2 in decreasing order.\nAnswer: -2, -4, f, -118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 6 = 12*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 2*s - 5*f, 0 = 6*s - s - 2*f - 234. Suppose 0 = -j - 3*h - 2*h + 16, 2 = h. Calculate the greatest common divisor of s and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z - 6. Let s = -7535 - -7575. What is the remainder when s is divided by l(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1251\/8 - -168. Suppose -55 = -2*t + 43. Calculate the common denominator of t and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from {p: 2, l: 1, w: 2, n: 9}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 4*h + 148 = 0. Let x = 23 - h. Let z = x + 9. Calculate the remainder when z is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -24?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 594166051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -u + 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 207489 (base 11) to base 16\nAnswer: 510e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/12)\/(14\/42)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7701689\/44057 - 116\/3389. Let f = n + 175. Which is the second smallest value? (a) 2\/9 (b) f (c) 5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*a + 6 = -10, -5*a + 20 = -2*b. Suppose b = 4*c - 8, -2*c + 7*c = -3*q + 19. Let k = -1689 + 1700. Solve 2*x - q = -k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -2 (c) 78\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 8, g: 1, t: 2, f: 6}. Give prob of picking 1 i and 1 t.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*2*1*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10*y - 10. Let z be k(1). Suppose -40*j + 35*j - 15 = z. Which is greater: j or -34\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 50. Which is the fourth biggest value? (a) -0.4 (b) g (c) 0 (d) -51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18690 is divided by 4345.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 870 and 1288?\nAnswer: 560280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13121 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 167300 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 32 = -2*w. What is the third derivative of 5*i**w - 1714*i**5 - 7*i**2 + 1714*i**5 wrt i?\nAnswer: 600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vli when three letters picked without replacement from lisjv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1\/4, -135, 1\/5, -65?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*s = 15, 15 = 4*q - 18*s + 13*s. Suppose -113*z + 115*z - 510 = q. Is 49 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 98?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 143 and 49335.\nAnswer: 49335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1288?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*z + 1537*z + 413*z = 281*z - 79212 for z.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-3)\/63*(63\/54)\/(35\/70).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19499511\/8 or -2437439?\nAnswer: -19499511\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 5. Let v = 44 - q. Calculate the remainder when 31 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2)\/s*s)\/s**0*s**(3\/7)*s**(1\/4) assuming s is positive.\nAnswer: s**(-9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1499\/19 - -79. Let b = f - -11\/76. Suppose 2*t - s + 4*s - 7 = 0, -2*s = -t - 7. Is t less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 0 - 7\/60*u**5 + 0*u**3 - 7*u**2 + 0*u**4 + 0*u. Let k(j) = j. Give x(k(w)).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 328190 - 590742023\/1800. What is the common denominator of 81\/800 and y?\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28\/1123 in -4, 0.4, -3, -2, -0.9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -48, 0.3, 10263 in increasing order.\nAnswer: -48, -4, 0.3, 10263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1334*b + 1095*b - 478 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-14)*(-1*6\/9)\/((-146)\/(-3285))\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8331157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -1. Suppose -3*b = -f + 3, -b = c - 2. What is the remainder when 12 is divided by (-12)\/(-2) + 1 + c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a - 59. Let g(z) = -3*z + 9. What is g(w) + 9*m(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-29)\/(-2))\/(6\/96). Let g = t - 1861\/8. What is the common denominator of 34\/8*(-1)\/(-2) and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1209548.\nAnswer: 2, 127, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 + (-1312)\/((-3362)\/41)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4)*8\/(-6). Let w(u) = 9*u - u + 9 - 16 + 0*u + 0. Calculate the remainder when 26 is divided by w(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -182 - -395. List the prime factors of f.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 14*d**2 - 36*d - 795. Calculate b(-10).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*p**6*u - p**3*u - p**2*u + 305*p*u wrt p.\nAnswer: 3000*p**3*u - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, 0.15, 0.3, 4, -0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -29. Let c(q) = 6*q**3 - 5*q**2 - 3*q + 3. Is c(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17241875\/171 + 100829. Let r = 2\/171 + m. Let z = -8821 - -8821. What is the closest to z in -1\/6, r, -0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 8:06 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**2 + 68929440*o + 237563384935680 = 0. What is o?\nAnswer: -6892944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -36*10\/(-160)*4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Suppose 4*x = -o + 28 + 7, -2*o + g*x = -40. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -81\/2, 7, -0.037?\nAnswer: -81\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.5, 3\/2, -505?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**3 + x**2 + 2*x + 1. Let o be n(-1). Solve 2*k + 2*m - 7*m + 5 = 0, 3*m = -2*k + o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**3 + 7*q**2 + 5*q + 1. Let p(z) = -5*z**3 - 11*z**2 - 8*z - 1. Give -8*b(g) - 5*p(g).\nAnswer: g**3 - g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -103414?\nAnswer: 103414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -49739 + -14384?\nAnswer: -64123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10378051*d - 10378312*d - 783 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5593 - 72669\/13. Which is smaller: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/25, -0.3, 0.4, -32?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1166463 - 1166463 - h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 6 + 3)*(-d - 3 + 3) + 242*d + 3967 + 51*d - 3969.\nAnswer: 274*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 6*-1*13\/(-26). Solve a = -4*b + 3*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 42*d + 29. Give z(-23).\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*q**4 - 470*q**3 + 2385*q**2 - 1620*q = 0. Calculate q.\nAnswer: 0, 4\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2569.6 - -2570. Let k be (-27)\/6*2\/(-3). Which is the closest to -1\/2? (a) k (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118091 and 11853?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - -31) + 81 + -76 + -1*(2 + -70).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + 63020887895?\nAnswer: 63020887894.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(2\/9)*l*l*l)\/(l\/(l**(-3)*l)))\/(l**(-1)*l**(2\/13)\/l))**(2\/9) assuming l is positive.\nAnswer: l**(718\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -2 + 117\/27)\/1. Let p(w) be the second derivative of -4*w + 0 - f*w**4 + 17\/6*w**3 - w**2 + 4\/5*w**5. Factor p(r).\nAnswer: (r - 2)*(4*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-2 + 0)*(-1)\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 702*t**3 + 1 - 1 - 354*t**3 - 346*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.391 - 0.109. Let u = b + 3.6. Which is greater: u or -37?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*38\/(646\/357)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -16, -20, -52 in decreasing order.\nAnswer: 3, -16, -20, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -3*i**2 + 12*i + 5. What is p(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7938, 15869, 23792, 31707?\n\"Answer: -4*g**2 + 7943*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-37)\/(-4) + 2\/(-8). Suppose 3*w + h = v, -4*w - 5 - 2 = -5*h. Let j(m) = m**3 - 3*m**2 + 4. Let n be j(3). Solve 3*x + n + w = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18435 + 18434.8. What is the fifth smallest value in n, -0.4, -2\/91, -2, -4?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**3 - 2522136*g**2 - 2522140*g = 0?\nAnswer: -1, 0, 630535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -555270 divided by -6\nAnswer: 92545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -3557?\nAnswer: -3\/3557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*(-1816)\/2270?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 15 = 5*g. Calculate the smallest common multiple of g and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**5\/20 + h**4\/8 + 40*h**3\/3 - 26*h**2 + 3. Let p(z) be the first derivative of u(z). Calculate p(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) -3 (b) -6 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 64422.69 days?\nAnswer: 5566120416000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 11946665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -542, -1087, -1630, -2171?\nAnswer: -2710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + l + 2. Let w be r(-1). Suppose -7*y - w = -16. Let v(n) = 3*n**3 - 4*n + 5. What is the remainder when 80 is divided by v(y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 m when three letters picked without replacement from {a: 7, s: 1, k: 2, j: 5, y: 3, m: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/186860 and 19\/30.\nAnswer: 560580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -177747 * -0.4.\nAnswer: 71098.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5665, -5634, -5539, -5344, -5013, -4510, -3799, -2844?\nAnswer: -1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2761 + -2790. Sort l, -3, 5, 1 in decreasing order.\nAnswer: 5, 1, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/6 + -5 + 58\/60?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -17*v + 4. Let p be r(-4). Suppose -3*o - o = -p. What is the tens digit of -1 + 1 + o + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 46. Let w = 30 - j. What are the prime factors of (-606)\/(-4) + w\/(-54)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, y: 7, x: 2}. What is prob of picking 1 x and 1 u?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 992773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16634, -33266, -49898?\nAnswer: -66530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*y**2 - 1890*y + 10227 wrt y.\nAnswer: 4*y - 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxz when three letters picked without replacement from zyyxzzyyyx?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -265*l**2 + 464*l**2 - 237*l**2. Let g(u) = -41*u + 2. Determine k(g(b)).\nAnswer: -63878*b**2 + 6232*b - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86*(5\/12)\/5 and 70\/(-42)*(-2)\/(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1497*w**2 - 13*w + 65. Let o(f) = -1496*f**2 - 17*f + 67. Let y(i) = -4*m(i) + 3*o(i). Find the second derivative of y(g) wrt g.\nAnswer: 3000","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 152\/16 + -10 + 8718\/4. Let r = 3192 - z. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10816 and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 2*y**2 + 5*y**2)*(0 + 3 - 1) + 4*y - 4*y - 2*y**2 + (4*y + y - 4*y)*(3*y - 4*y - 2*y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 2*u**2 - 2*u - 31. Let d = 45 - 38. Does 9 divide t(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213518212.\nAnswer: 2, 269, 198437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -5 (b) -0.3 (c) 1066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1732845.\nAnswer: 3, 5, 115523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -4) + -9 - (-5 - -11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 + -0.09. Are r and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2983 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7520246 + 0.02789?\nAnswer: -0.7241346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 428921367?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-66)\/(3102\/(-1175)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -23?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -24 (b) -0.1 (c) -0.4 (d) 0.5 (e) -1 (f) 0.06 (g) -9.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734 is divided by 267.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**4 - 196929*a**3 - 4904628 wrt a?\nAnswer: 4*a**3 - 590787*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -142, -248, -344, -424, -482, -512?\n\"Answer: r**3 - r**2 - 110*r - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192985 and 2860?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o + 34. Calculate z(28).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1020 (base 5) to base 12\nAnswer: b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -11*q**2 + 3*q - 3. Let b(a) = -a**3 + 14*a**2 - 17*a + 56. Let m be b(13). Let t(c) = -11*c**2 + 4*c - 4. Determine m*k(h) - 3*t(h).\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -369.62376497 and 4.\nAnswer: -365.62376497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1963474.000068 + 1963492. Let f = z + -18. Round f to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 256235, 2, -2\/5 in descending order.\nAnswer: 256235, 2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1347, -0.3, 1\/5, -4, -3 in ascending order.\nAnswer: -4, -3, -0.3, 0.1347, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/492*200\/925?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n - 11. Let v(g) = 2*g**3 - g**2 - 3*g - 1. Let h be v(-1). Let k(q) = q + 2. Let z(a) = h*d(a) - 6*k(a). What is z(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 5. Let s be 1*3 + (-35)\/h. Suppose -i - 2 = -6. Sort s, -3, i in decreasing order.\nAnswer: i, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 3*w - 3. Let v(f) = 6*f**2 - f**2 + 9 - 4*f**2 - 10 + f. Calculate -2*i(c) + 6*v(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - 0.1. Let c = -0.0091 - -3.0091. Sort c, x, -2 in descending order.\nAnswer: c, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 9 = -3*i, -l - 3*i = -5*l - 11. Let g = l - -5. What is the third derivative of -203 - 12*w**2 + 14*w**g + 203 wrt w?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-60)*333\/(-148)*10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 + 2*h - 1. Let z be t(1). Let w be (z\/(-18))\/((-104)\/(-32)). Is 0 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1692 - -19?\nAnswer: 20.1692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((0 - -8)\/4). Let s = 1 - f. Suppose -s*c - 150 = -3*q, q - 62 = 2*c + 2*c. Does 23 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-6\/13)\/c**(-14))**30)**(2\/45) assuming c is positive.\nAnswer: c**(704\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146563733?\nAnswer: 9857, 14869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14811713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -7 + 1\/10*c**5 - 1\/6*c**2 + 0*c + 1\/4*c**6 - 23\/24*c**4 + 13\/18*c**3. What is l in u(l) = 0?\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/c**(-9))*c)*c**0)\/(c**(-5)\/(c\/(c*c**(-2\/13))*c)) assuming c is positive.\nAnswer: c**(197\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1000 + -140320?\nAnswer: -135320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104633?\nAnswer: 19, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwwwswwwwwwwww. What is prob of sequence wws?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5741054, -5741019, -5740984?\n\"Answer: 35*d - 5741089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**6\/15 + q**4\/6 - 6*q. Determine a so that b(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 247 = 203. Suppose h = 10*j - 10. Let u(x) = x**2 + 11*x - 17*x - 5 + j*x. Give u(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 870275?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/(-40)*86\/129. Find x such that -2\/5*x + o + 2\/5*x**3 - 4\/5*x**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2 - 78*y - 36. Let l be h(20). Solve -r + 4*d - 2*d = 1, -5*r = -l*d - 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 977 - -1?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**9)**(-19) assuming y is positive.\nAnswer: y**(-190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -157 - -162. Suppose -3*t = -11 + s. Suppose -3*i + 4 + 2 = 0. Solve i*u + 4 = -t*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 7:09 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-76 + 103 - 109).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + (4 - 4 - -6) + 519 + -514?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 9*h - 10. Let q = -0.1 + 2.1. Let c = 3 - q. What is the closest to 1\/3 in c, -2, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, h: 4, f: 1, k: 3}. Give prob of picking 1 d and 1 h.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2452243190 and 290.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 283 = 3*x, 0 = -0*n - 2*n - 5*x + 275. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11310 and 516084?\nAnswer: 33545460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7441 - 7441.01. Which is the closest to 1? (a) h (b) -264 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -572 + 3?\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (9 + -5 + -1) - (6 + 6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 14?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(-303*p - 32*p - 138*p) + 0*p + 0*p - p to the form u + z*p and give z.\nAnswer: -947","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*p + 12 = 0, 3 + 2 = -f + p. Is 6\/f + 4620\/16 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1411800 and 941200?\nAnswer: 2823600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1073 - 10\/((-40)\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5485 - 1775 - 9*b - 26*b - 3710.\nAnswer: -35*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (108\/(-45) + 2)\/(8\/(-3280)). Suppose -31 = -0*m - 4*m - 3*o, o - 1 = m. What is the greatest common factor of r and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 358 = 428 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 16 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/235209 and 101\/228852.\nAnswer: 8467524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j = 39 + 37 - 43 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68895\/4 + 1325945\/76. Let m = -223 + l. Is 2\/5 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, h: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + d**2 + 902*d**3 + 1 - 2*d**2 - 911*d**3 as y*d**3 + g + i*d + n*d**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 2*w. Let k(l) = 2*l**2 - 3*l. Let a(s) = 2*k(s) + 3*t(s). Let m(h) = 505*h**2 - 33*h - 497*h**2 + 33*h. Calculate m(a(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27638*s**4*y**3 + 3*s**4 - s**2*y - 15196*y**3 wrt s?\nAnswer: 663312*s*y**3 + 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2405\/2 + -1203. Let n = 4\/35 - -11\/210. What is the closest to 0.01 in 5, n, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 2:23 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 5*s**2 - s - 6. Suppose 29 = -8*k + 3*k - 2*i, 0 = 4*k - i + 18. Let t be z(k). Which is greater: -4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 699051 or -1?\nAnswer: 699051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2110 (base 4) to base 6\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -8*c - 215. Let i(l) = -l**3 - 13*l**2 - 26*l + 3. Let a be i(-7). Let k = c - a. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**2*w)\/w)**(-12\/7)*(w\/(w\/(w*w**(-2\/7)\/w)))**(-29) assuming w is positive.\nAnswer: w**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84824\/5 or -0.4?\nAnswer: -84824\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 247 = 3*d, 4*u + 363 = -7*d + 901. Solve -d = -3*q - 83 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -92? (a) 2\/21 (b) 0.2 (c) -0.4 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((270\/(-21))\/(-3))\/(9\/(-7245)). Round d to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*y = -272*y - 271*y + 5*b - 37, 4*y - 3*b - 11 - 50 = 0 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -754475, -754470, -754463, -754454, -754443, -754430?\nAnswer: -754415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*z**3 - 237*z**2 - 11*z**3 - 11*z**3 as c*z**2 + h*z**3 + t + n*z and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2733 + 2731 - q**3 - q - 5468 + q.\nAnswer: -q**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*s + 44 = -183 - 63 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 729390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -76714*c + 460134. What is g(6)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - p - 1. Let r(w) = -3*w**2 - w - 5. Determine 2*h(z) - r(z).\nAnswer: z**2 - z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 13) to base 5\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**3 - 17*b**2 + 24*b + 19. List the prime factors of j(11).\nAnswer: 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*v - 8. What is the tens digit of -4*(2\/v + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2126*q**4 + 2*q**3 + 23*q**2?\nAnswer: -51024*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 + 3*l)*(-6*l**2 - l**2 + 2*l**2)*(3*l - 3*l - 2*l**2).\nAnswer: 30*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 3*j. Let m be i(-6). Suppose 3*w = -m + 42. What is the first derivative of -w*c + 1 - c**4 + 8*c wrt c?\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + 7. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681283.\nAnswer: 19, 23, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 0.3. Let p = -0.112 + -0.188. Let k = p + -3.7. Which is the smallest value? (a) s (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 162, 144, 92, -12, -186, -448?\n\"Answer: -3*q**3 + q**2 + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -7. Suppose 13*v - 8*v - 80 = a. Suppose q - v = -0*q. Solve 2*t - 5*b - q = 0, 20 = b - 6*b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-53)\/(-2)*4 + (-5 - -2). Let u = i - 101. Factor 0 - 3\/4*m + 3\/4*m**u.\nAnswer: 3*m*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 13\/(50\/15 + -3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 5*y**2 - y. Let r be n(-5). Let i(k) = -k - 20. Let x be i(-20). Let w(p) = -7*p + p**2 - 102 + 108 + x*p**2. Calculate w(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 705360 + -1165786. Let w = -460380.0033 - k. Let y = 46 - w. What is y rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35236 + 35385.145. What is y rounded to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05734863 to five dps.\nAnswer: 0.05735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -98 (b) 1 (c) 0.4 (d) 6.77 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 218059 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - q + 2*q)*((2 - 1 + 1)*(-2 - 2 + 2) + 0 + 2 - 3 + 7 - 36 - 37)*(1 - 4 + 2).\nAnswer: -213*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 241.383311?\nAnswer: 241.383311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35804 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/2 (b) 17 (c) -1 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -z + 16, -3745*s - 47 = z - 3740*s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11967881\/123 - -97299. Let i = -13597\/1230 + k. What is the common denominator of -34\/7 and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 252, -5 in increasing order.\nAnswer: -5, -2, -1, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j + 101. Let r(c) = 12*c - 203. What is -5*o(s) - 3*r(s)?\nAnswer: -s + 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 8:59 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 635 + -360. Calculate the highest common divisor of 22 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 3*i - 4. Let k = 0 - i. Let c be (-15)\/1*k\/3. Solve -5*f = -5*j - 10, 2*j + 1 = -0*f + c*f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 57. Let z = o - 57.15. Round z to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - y**3 + y**3)*(0*y - 4*y + 2*y) - 33*y**4 - 7*y**4 + 11*y**4 - 30*y**4 - 205 + 205.\nAnswer: -61*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3 - 1928*n**2 - 229564*n - 671448 = 0. Calculate n.\nAnswer: -277, -202, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 15 + 3*r - 17*r + 11.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b - 5. Let w(u) = -15*u - 32. Give 5*c(m) - w(m).\nAnswer: 5*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -3 - -5 - (-50 - -48) - -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -499235?\nAnswer: 149770.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -53817728.\nAnswer: -53817728.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -32, 0.205 in descending order.\nAnswer: 0.205, 0.09, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 1, u: 1, w: 2, f: 2}. What is prob of sequence wf?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 16*z**2. Let h(o) be the third derivative of -o**5\/60 - 24*o**2 - 4*o. What is l(h(x))?\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35734 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/5779 and 5\/319502?\nAnswer: 1846402058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2208 and 18318304?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -236 + 500. Let j = -51 + l. Suppose 0 = -2*w - g + j, g - 164 - 156 = -3*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 3)*(66*x + 104 + 134 - 219) as b*x + c and give c.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(832)*4*6 - (3 + (sqrt(13) - (sqrt(208)\/sqrt(4))\/sqrt(4)))).\nAnswer: -3 + 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + k - 7. Let z be l(7). Let n(u) = -u**3 - u**2 + 71. Let j be n(0). Let m = j - z. Calculate the remainder when 42 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26124 + 2167?\nAnswer: -23846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 75*o - 733 = -145, 4*u - 4*u = 2*o + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485332 is divided by 161364?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -93*f**3 + f - 51. Let h(l) = 464*l**3 - 4*l + 257. Let b(x) = 2*h(x) + 11*r(x). Find the second derivative of b(k) wrt k.\nAnswer: -570*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 3*d - 2. Let g be z(4). Suppose -5*w - i = 348, 0 = -g*w - 3*w + 2*i - 339. Let j = 8 - w. Calculate the greatest common divisor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 15*t + 12*t + 300 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370030897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 12856*y - 14 + 12929*y.\nAnswer: 73*y - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3483 and 25\/5886.\nAnswer: 759294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69788 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2055*q - 12. Let r(h) = -2*h. Calculate f(r(k)).\nAnswer: 4110*k - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**5\/15 - c**2\/2 + 9*c - 52. Let u(j) be the second derivative of b(j). Let o(h) = h + 5. What is o(u(k))?\nAnswer: 4*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 445, 882, 1319, 1756, 2193, 2630?\n\"Answer: 437*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138193958*j**4 - 461418*j**2 + 87*j.\nAnswer: -3316654992*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 542646, 1085274, 1627900, 2170524, 2713146, 3255766, 3798384?\n\"Answer: -o**2 + 542631*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1 + 2*g)*((g + 3*g - 6*g)*(2 - 2*g - 2) + (1 - 1 + 6)*(-3*g**2 - 3 + 3)) to v*g**2 + i + q*g + n*g**3 and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 22) + -9 + -3 + 20.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 9067*r - 18134*r + 9066*r.\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585778161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 j when two letters picked without replacement from jjjjogjgg.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 3*o - 4 = 0. Suppose -a = -0*r + 2*r - o, 4*a + r - 4 = 0. Let m = 15 + -12. Solve -5 = m*p + a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9315 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(0 - -1)*6. Let c(q) be the first derivative of -q**4\/4 - 2*q**3 + 5*q - 1. What is the units digit of c(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 5*k - 1 = 0, -2*k - 2*k = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 3)*(-4)\/110. Let n be (18\/3*(192\/18 - 12))\/(-2). Sort 0.3, -3\/10, n, u.\nAnswer: -3\/10, u, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 462*k**2 - 3*k + 2. Let c be a(1). Suppose -137 = 12*d - c. Calculate the remainder when 107 is divided by d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5056, 10110, 15164, 20218?\n\"Answer: 5054*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 + 31)*2\/(-4). Let k be (-3 - 32\/g)*-3. Let b = 0.3 + 0.2. What is the closest to 2 in k, b, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 147, 271, 377, 459, 511, 527?\n\"Answer: -d**3 - 3*d**2 + 140*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 87, 11, -3, -8, 0, -13 in ascending order.\nAnswer: -13, -8, -3, 0, 3, 11, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6223552179.\nAnswer: 3, 13, 113, 1412197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2194*g + 6587*g - 2199*g - 2192*g + 6. Suppose 4 = -v - 0. Let d = 0 + v. Calculate x(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 972*j - 7. Is g(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7474320 to the power of 1\/2, to the nearest integer?\nAnswer: 2734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175453?\nAnswer: 175453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.78*-1309652.\nAnswer: 4950484.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01015 + -0.01015. What is the fourth smallest value in 0.3, 2\/7, 4, 5, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 + 63. Which is greater: -2\/43 or z?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -148 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 15*n - 252. Let v be y(12). Let h = v - -72. Which is the nearest to -1? (a) 5 (b) 1 (c) h (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 5 (c) 1084\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/510 and 38\/2805?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*d - 38*d - 95*d + 11*d.\nAnswer: -202*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -38*j + 1. Let d be q(2). Let o = d + 73. Sort o, 2, -5 in increasing order.\nAnswer: -5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*p + 2 + 2 - 65*p - 4.\nAnswer: -27*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*c + 12*c. Suppose 5*q - q - c*h = 7, 2*h = -10. Let n(x) = -18*x**3 - x**2 + 5*x + 9. What is the units digit of n(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69447 and 17031.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 4*d**2 - 2*d + 13. Let y be j(4). Let m(c) = -c**3 + 6*c**2 - 5*c + 7. What is m(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(5*sqrt(11)*4).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + 3*x + 0*x)*(6507*x - 6507*x - 243*x**2) + (-30*x**2 + 8*x**2 + 10*x**2)*(-3*x + 7*x - 2*x) as w*x + a + u*x**2 + j*x**3 and give j.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 8:01 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.44 - 0.24. Let m = 4 + -9. Let o = m + 6. Put 5, o, j in decreasing order.\nAnswer: 5, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/30491 + 884029\/3201555. Let f = b + 2\/35. Let x be 2*1 + (0 - 4). What is the third biggest value in f, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.044 >= 486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - 39*w + 59. Let v be c(0). Solve 15*i + v = 14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007898 rounded to seven decimal places?\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 divided by -304243?\nAnswer: -150\/304243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003501 rounded to seven decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2) + 0 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2327423 to the power of 1\/2, to the nearest integer?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 458*m - 1079?\nAnswer: 458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 3*x - 3*x)*(5 - 2*x - 5)*((-6 + 2 + 2)*(1 - 1 + x) - 4*x + 0*x + 0*x).\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -140 - 0?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -36912, -73823, -110734, -147645, -184556, -221467?\n\"Answer: -36911*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from jjr.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 b, and 1 s when four letters picked without replacement from {j: 3, l: 5, g: 1, s: 1, b: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2033*r**5*u + 6*r**5 - 53*r**2*u + 83*r**2 wrt r?\nAnswer: 121980*r**2*u + 360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 458822a (base 11) to base 15\nAnswer: a86269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1872262903.\nAnswer: 7, 359, 106433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*m = -3*m + 24, 4*m + 1 = -3*z. Solve 12 = z*a - 13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 199*x + 944. Let c be g(5). Is c at most as big as -3\/6326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(40\/(-6)))\/((-2)\/(-8)). Suppose x - 644 = -h*x. Let f = x - 97. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = -3*u + 4*l + 45, l = 5*u + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 2, -18, -46, -82?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 1)*(2*r**2 - 5*r**2 - 3*r**2) in the form v*r + k*r**2 + g and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((0 - -2)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18, 2\/51, -12744, 1\/10?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-0.0992.\nAnswer: -0.6944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -14*s**2. Let h(w) = -24*w**2. Let x(t) = 2*t**2. Let o(y) = -h(y) - 8*x(y). Determine o(p(a)).\nAnswer: 1568*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49947829 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -754*k**3\/15 - 239768*k**2\/15 - 6353534*k\/5 + 33708\/5.\nAnswer: -2*(k + 159)**2*(377*k - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -305.184\nAnswer: 1220.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/1)\/(16\/16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7738 and 25334.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-374400)\/104)\/(-60)*(-1)\/(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 10*k**2 + 7*k + 4. Let l = 75 - 44. Let a = l - 33. Is 13 a factor of h(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 402\/(-570) + (-3)\/(-5). Which is the closest to 3? (a) r (b) 4\/7 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/8 in 0.5, -0.03, 4, -2\/7, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(1404) - sqrt(1404) - sqrt(1404))\/((sqrt(3) - sqrt(3)*2)*-3).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 = 4. Is 134*f\/8*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326 divided by 53.\nAnswer: 326\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 160 = -1. Suppose -f + 5*q - h = 0, 3*f + 2*q + 600 = -f. Let a = f + 457\/3. Do a and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/3, 25, 49.989, -5 in ascending order.\nAnswer: -5, -0.2, 2\/3, 25, 49.989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3740438 <= 82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 23. Suppose a + s*a = 64. Solve -4*r = -g, 0 = 3*r + 4*g - 3 - a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.24 - 11.24. Let r = -12.4 - d. Let g = -1.6 - r. Which is the closest to -3? (a) -3\/8 (b) 3\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5704 and 414.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.35 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1057*p - 1067*p = -51123 - 109567. List the prime factors of p.\nAnswer: 16069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35497 is divided by 235.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -154 (b) 2\/5 (c) 8\/29 (d) 1 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 28754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14388b - a?\nAnswer: 143881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 11*j + 5. Let m be v(-11). Let g be (10\/15)\/(m\/(-9)). Let w = 0.7 + 0.3. What is the third smallest value in 0.1, g, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p**4 - 306*p**2 - 7*p - 3945605?\nAnswer: 8*p**3 - 612*p - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -30. Suppose 43*n - 47*n = -f. Put 1, 0, -2, n in ascending order.\nAnswer: -2, 0, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x + 5. Let c(h) = -2*h - 6. Let m(l) = 2*c(l) + 3*v(l). Let n be m(0). Suppose d - 3*a + 4 = -4*d, -d + 10 = n*a. Solve -k - 3 - d = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 302 = 77. Calculate the remainder when l is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 12 - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-19)*i**(-19))**(4\/33) assuming i is positive.\nAnswer: i**(-152\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p + 1. Let q(a) = -2*a. Let k(g) = -3*n(g) + 4*q(g). Suppose -i - 4 = -2*c, -i = -4*c + 3*c - 1. Let x be k(i). Solve o - x = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 170 - 13*b**3 - 2*b - 200.\nAnswer: -13*b**3 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.41 + 3.107.\nAnswer: -3.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*f + 19 = 0, 27*g = 30*g + 7*f + 104 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 184\/69*3\/2. Suppose -5*n + 25 = 0, -10*a - 510 = -15*a + l*n. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2*u + 68*m*u*y**2 - 2*m*y**3 + 2*m + 5*u*y**2 + 26*y**3 with respect to m.\nAnswer: 4*m*u + 68*u*y**2 - 2*y**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w**3 - 2*w**2. What is t(3)?\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26 + 13 + 14)*(14*s + 45*s - 223*s) to f + t*s and give t.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-2.6\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 771864 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-5)\/y*y)\/y)**(-1\/11)\/(y*y**(-2\/7))**(-33))**(-6) assuming y is positive.\nAnswer: y**(-11142\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**4\/7 + 292986*c**3\/7 + 1171773*c**2\/7 - 12011826*c\/7 + 10547064\/7 = 0.\nAnswer: -97658, -9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + h - 3*h)*(1 + 0 + 0)*(-2*h - 4*h + 4*h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -5, -36415?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -l - 4*n - 2, n = 2*l - 11. Solve -a + l = v, -a + 4*v = -v + 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 70*y - 10. Calculate d(-2).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by ((-13)\/1)\/13*-283?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w - 3*w + w - 4*w**2 + 3*w in the form g + l*w**2 + p*w and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*u - 1315 = 0, 3*u - 347 = 2*q + 2276. Let i = -89 - q. What are the prime factors of i?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 5:57 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2599095 by -6.\nAnswer: 866365\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*p = -29*p - 0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 102035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -4. What is the second smallest value in -0.5, q, -2\/31, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.1 - 0.9. Let r = -4.5 - o. Let k = -11 - -10. Which is the nearest to k? (a) -2\/9 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8431 + 10831. Calculate the least common multiple of 21 and h.\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 7*w**2 + 8*w - 11. Let d be c(6). Let a be 4 - 1 - (d - 2). Let p be 0*(2 - a)\/(-4). Put p, -5, -1 in descending order.\nAnswer: p, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1214122*v. Let n(k) = 333*k**2. Give o(n(m)).\nAnswer: 404302626*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivdr when four letters picked without replacement from vidirvirfddav.\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08 + -0.14. Let a = -0.94 + x. Let n = 13 + -1. Which is smaller: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25767.566 * -0.5.\nAnswer: -12883.783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1271831 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*b + o, 5*b - b = 2*o + 42. Suppose -b*i = -3*i + 105. What are the prime factors of (30\/(-7))\/(6\/i)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/44908 and -45\/721.\nAnswer: 314356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 6 - 4) + (-5 - (2 - -6))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 804 = 4*o + 2*b, -3*b + 425 = 3*o - 184. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5 - 4630\/(-495) - 5 and -64\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1594 + -1582. Put j, -14, -3 in descending order.\nAnswer: j, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 1046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31380, 31385, 31400, 31431, 31484, 31565?\nAnswer: 31680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2.01. Let x = 1.99 - d. Put -3, 1\/9, x in decreasing order.\nAnswer: x, 1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q = 29*q. Suppose 9*c - 11*c - 32 = q. Let m = -6 - c. What is the highest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6*2)\/((-156)\/234).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 123522 or 1111711\/9?\nAnswer: 1111711\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 339 - 161. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**3 - 11*a**2 + 8*a - 26. Let f(b) = 2*b**3 + 7*b**2 - 5*b + 17. Let i(j) = -8*f(j) - 5*l(j). Determine i(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 f when three letters picked without replacement from lfffbbfjalbaff?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-1 - 9*w + 1).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, x: 2, v: 5, f: 3, c: 1, h: 2}. What is prob of sequence czvh?\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1629205759 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 171711*l**2 + 804*l - 20?\nAnswer: 343422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/((sqrt(5)*1 - sqrt(5)) + sqrt(5)))\/(sqrt(72)*2).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 + 56*f + 163. Calculate o(21).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 14879*s - 214 = 14884*s, 113 = -3*i - 5*s - 94 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3925793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from zzvzzjwvzjjjjzzzjz?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/42*(-16)\/(-28).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u - 20 = -17*u. Suppose -18 + 3 = -u*z. Solve -5*f = -3*a + 13 + 13, 4*f - z*a = -22 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 76 - 16 + 32 - 3.\nAnswer: -3*y + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**3 + 11*t**3 + 10*t**3 + 10*t**3.\nAnswer: 19*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.15.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 118228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 32*x + 251. Calculate t(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8218865 + 3*k + 16437668 - 8218825.\nAnswer: 3*k - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1160428506 to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164 (base 9) to base 5.\nAnswer: -1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/21, -4, -225048?\nAnswer: -225048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 106.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 108 + 0.03238.\nAnswer: 108.03238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 19 + 1. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -3*w**5\/7 - 33*w**4\/14 - 4*w**3 - 12*w**2\/7 + 15. Determine i so that z(i) = 0.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1899\/4, -2, -0.06?\nAnswer: -1899\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110100121 - -10?\nAnswer: 110100131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 6343*f**3 - 315*f**2 - 126 - 1006*f + 63*f**2 - 6311*f**3 - 1748*f**2 = 0.\nAnswer: -1\/4, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1364)\/(-5456))\/(((-1)\/(-16))\/(4\/(-248)))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-2 - (-1 - -4))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - 15*m**2 + 10*m - 53. Is f(13) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(45\/(-2036))*(-3)\/2. Suppose -194 - x = -3*r. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at most -176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by (220\/16)\/(-11)*(0 - (-60)\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 2704?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*k**3 + 402\/5*k**2 + 135 + 204*k + 3\/5*k**4.\nAnswer: 3*(k + 1)*(k + 5)**2*(k + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*a + 76*a + 1327 = 1741 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 - -138. Let s = -4118 - -4140. What is the remainder when w is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 9:36 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n - 11. Let k(m) = -2*m + 4. Let y be k(4). Let i(t) = -8*t - 2. Let r be i(-1). Let o(g) = r - 10*g - 2 - 9*g + 17*g. What is y*u(w) - 11*o(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*r, 3*r + 1 + 5 = -2*x. Suppose 4*o + 3 + 5 = x. Let y(j) = -26*j + 1. Is y(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810 = -18*b + 108*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*i + 354*i - 44 = 181*i, -13 = 5*x + 3*i - 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3880, -6899, -9918, -12937?\n\"Answer: -3019*x - 861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 877876?\nAnswer: 2, 19, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 z when three letters picked without replacement from {z: 1, y: 1, s: 1, f: 1, i: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110\/4)\/((-1195)\/956).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 403*h**8\/168 + h**5\/30 + 175*h**4\/24 - 385*h**2 + 2. What is the third derivative of x(t) wrt t?\nAnswer: 48360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvss. Give prob of sequence vvss.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.238 + 1.\nAnswer: -1.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-650)\/((-9)\/(10 + -77140)). Round u to the nearest one hundred thousand.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12044 (base 7) to base 14.\nAnswer: 11cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -34. Let r(i) be the third derivative of 0*i - 1\/6*i**4 - 3*i**2 + 0 + 0*i**t. Let u(c) = -2*c**2. What is u(r(g))?\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8598594?\nAnswer: 2, 3, 31, 46229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 - u - 7*u**3 + 9 + 40.\nAnswer: -6*u**3 - u + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27644\/3 + -488363\/53. Calculate the common denominator of 65\/212 and p.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -913566 greater than or equal to -913597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 221 and 17765?\nAnswer: 230945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 + r**2 - 176 - 131*r + 46*r + 50*r + 33*r - 3*r**3 - r**3 to the form o*r**3 + x*r**4 + k*r**2 + m*r + a and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2670030 and 55825?\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4225154, 16900608, 38026364, 67602422, 105628782, 152105444, 207032408?\n\"Answer: 4225151*f**2 + f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 161*g - 4206 - 4166 for g.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5129, 10594, 16061, 21530, 27001?\nAnswer: 32474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -8\/7*d**3 + 5\/14*d**4 + 0*d + 3 + 4\/7*d**2. Factor w(x).\nAnswer: 2*x*(x - 2)*(5*x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Suppose -2*z + 6 = -d*o + 5*o, -3*z + 9 = 3*o. Let a(t) = -t**2 - 9*t - 5. Let q be a(-8). Solve -q = -u - o*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746685 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 36 = -16*j. Let s be (-30)\/j - (-124)\/6. Calculate the highest common divisor of s and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d - d - 3*d**3 + d**3 + 0*d**3 - 2*d**3 + (2*d**2 + 3*d**2 - 3*d**2)*(2 + 2*d - 2) + (0 + 0 - 2*d)*(-2*d + 2*d**2 + 2*d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q = -25*q + 4. Is q greater than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29, 44, 75, 128, 209, 324, 479?\n\"Answer: r**3 + 2*r**2 + 2*r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1667121 and 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*f + 4, 2 = 5*a - 19*f + 17*f. Put 1, a, -18 in increasing order.\nAnswer: -18, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 4*t - 69, 46*m - 3*t - 15 - 41 = -t + 52 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/400824 and -121\/17616?\nAnswer: 294204816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b**2 - 274057*b + 7212 = 0.\nAnswer: 1\/38, 7212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, o: 1, y: 5, e: 1, i: 3, f: 2}. What is prob of sequence ih?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uff. What is prob of picking 2 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 2\/15 (c) 1.197\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 0 - 4\/2. Let z = 549 - 504.9. Let o = z + -44. Which is the second biggest value? (a) o (b) 1\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 2. Let y = -9 + 14. Suppose 4*h = -0*q + 5*q - 28, 0 = 3*q - h - 14. Suppose q*v = -3*t + 4, -y*v - 2 = 8. Determine l(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177190*w = 177193*w + 18 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.599 + -0.799. Let h = -147416\/79 - -1866. Sort x, -1, h in descending order.\nAnswer: h, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by -1209928.\nAnswer: -29\/604964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3 = 24. Does 21 divide 3\/(f\/57) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n. Let c(l) = -546275*l**2. Give x(c(m)).\nAnswer: 2185100*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4913806 greater than or equal to -4913820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*(567\/224)\/(-27)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 1.3. Let m = 34 + -19. Let x = m - 15. What is the third biggest value in 2\/7, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 1 - 1500*r**2 + 1450*r**2.\nAnswer: -50*r**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 575210928 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -14*d + 3. Let k be 135\/30*((-3)\/6 + (-2)\/12). Let v(a) = -14*a + 2. Calculate k*v(j) + 2*f(j).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 + -3.97. Let k = -1.1 + 1. Let y = 376 - 1507\/4. Which is the nearest to k? (a) y (b) p (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -45, 17 in descending order.\nAnswer: 17, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 319694033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/2, 1\/4, 23\/18, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**3 - 195344*b**2 - 9539233525*b + 57242433750 = 0.\nAnswer: -97675, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 144 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 4. Let d = b + 7. Let s = -2\/591 - -1196\/4137. What is the third smallest value in -3, s, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -125*w + 3. Suppose -3*x - 5 = 5*c - 0*x, -2*x = c + 8. Let t be g(c). Let k = -36 - t. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1507, 1618, 1749, 1906, 2095?\nAnswer: 2322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -83*-12704\nAnswer: 1054432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 2*x**2 - 4*x + 4*x**2 + 3*x. Let r be n(1). Solve 2*c - 5 - 1 = r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011 (base 2) in base 13?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 8) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 5*m**2 + 5*m - 3. Let c be w(4). Let x be -8 - (2 - -1 - c). Let d be (-54)\/x - (-6)\/(-15). Solve 4*p = 2*t - 10, 0*t + d = 5*p + t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1755)\/(-273)*14\/(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7231721 and 4438.\nAnswer: 2219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 1 (c) 152 (d) 9.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 14023?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfddzddfddzzffddzzz. Give prob of sequence ffd.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12261 = -11*o + 2479. Does 48 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 9 = g. Suppose -2*y = -7*y - 10. Sort g, y, 2.\nAnswer: g, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -11*x**3 + 0*x**3 + 6*x**2 + 12*x**3 + 5 + 0*x**3 - 4*x. Give v(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -q - 4*u + u, -3*u = -2*q + 2. Let r(v) = -4 + q + 5*v. Let g(t) = -2*t. What is r(g(m))?\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -18*i - 60. Let c(u) = -7*u**2. Calculate o(c(t)).\nAnswer: 126*t**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.5 and -2714.78?\nAnswer: -39364.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 119 - 67c02?\nAnswer: -67ac7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 408 and 57331344.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -180 - -1195. Suppose 0 = -4*g + r + 17. What are the prime factors of g?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 0.9826 in ascending order.\nAnswer: -4, 0.9826, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -520*k**2 - 7*k + 3 + 15*k + 9*k + 521*k**2. Determine w(-11).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4548549 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 8) in base 16?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123891956 and 2004.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = 5*m + 5*m. Let w be 123\/m + (-36)\/81. Put w, 2\/17, -3.7, -0.1 in increasing order.\nAnswer: w, -3.7, -0.1, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 2. Let y = -1 + g. Let a = 275 - 273. Solve 0 = -y*q + 2*q + a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.27 + -161.27. Let t = r - -159.8. What is the nearest to t in -3, -7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 68 - 2183*z**2 + 2183*z**2 + z**3 in the form f*z**3 + v*z**2 + d*z + l and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*d + 53386 - 26050 = -354*d - 40392 for d.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1485 divided by 4.\nAnswer: -1485\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/2 - 250365*w**2 + 10447355898*w - 20893710348.\nAnswer: 3*(w - 83454)**2*(w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 7*u + 18. Let y be q(-2). Suppose y = 17*s - 9. Is s >= -1.81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**4 - 35*h**3 + 76*h**2 - 36*h = 0.\nAnswer: 0, 2\/3, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2845573.8 minutes in hours?\nAnswer: 47426.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*b + 392 - 360. Solve -b*k - 1 = -0*k + o, -4*k = -3*o - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2300010 (base 5) to base 7\nAnswer: 226312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -200222100122 (base 3) in base 9?\nAnswer: -628318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -87, -138, -217, -324, -459, -622, -813?\n\"Answer: -14*r**2 - 9*r - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37560, -75120, -112680, -150240, -187800?\nAnswer: -225360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30197 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b. Let g = -4 + 7. Let h = g - 28\/9. Do h and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a + 6623?\nAnswer: 663d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -0.7 (c) 0 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72777 = -7659*z - 2745*z - 1071663 for z.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116847 is divided by 477.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**3 + 49*j - 508. Let f(x) = x**3 + 13*x - 127. What is 15*f(k) - 4*h(k)?\nAnswer: -5*k**3 - k + 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -1960?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3969) + sqrt(3969)*-2)\/sqrt(2268).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 1:51 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28045 + 166512. Let m = v - -54896. Let u = 413363 - m. Round u to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13529684 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*((sqrt(1100)*5 - sqrt(1100)) + 5 + sqrt(1100)) + -1*((sqrt(1100) + 5)*3)**2).\nAnswer: 3300*sqrt(11) + 30435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2465868 is divided by 1628?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {v: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 18790352 to the nearest 10000.\nAnswer: 18790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 2:36 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + m**2 + m + 66. Suppose 2*d - 5*n = -20, -4*d + d = 4*n - 16. Let l be r(d). Suppose -c - 2*c + l = 0. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 31*x - x**3 - 32*x + 2 - 2 + 2*x**3. Let g be -1*2*(-2)\/4. Let u(n) = 7*n**3 - 5*n + 2. Determine g*u(t) - 5*c(t).\nAnswer: 2*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 179 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 305 - 306. Put -0.3, q, 2 in descending order.\nAnswer: 2, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 + 2532*c - 559860. Let m(y) = 4*y**2 + 2522*y - 559858. Let u(s) = 7*l(s) - 6*m(s). Factor u(q).\nAnswer: -3*(q - 432)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107869819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 690\/165 + 4\/(-22). Suppose -p*z = -8*z. Put -4, 3, z in decreasing order.\nAnswer: 3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -427\/20 + 92\/5. Let v = 79821201665\/4368151182 - 62\/2590837. Let f = 30\/281 - v. Calculate the common denominator of f and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 3*j + 92, 3*y + 24 = 4*y + 4*j. Let w = y - 36. Suppose -r = -i - 10, 4*i + w = -16. Solve 0 = -5*v + 4*d + 10, 0 = r*v - 2*d - 4 - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.37 + -4865336?\nAnswer: -4865358.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48\/7*n - 288\/7 - 2\/7*n**2 = 0. What is n?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 2, -2, 86?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 734 - 186 + 3*r - 198*r**3 - 185 - 182 - 181.\nAnswer: -198*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*w**2 - 5*w**2 - 8 + 5*w**2 wrt w?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118849 (base 11) to base 2\nAnswer: 101101101111100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 38 = 5*d, -114512*d = -114511*d + 2*s - 30 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 29*s**2 - 9*s + 23. Suppose 9*z = 2*z. Suppose z = 3*i + 2*a - 19, -a - 12 = -3*i + 10. Is q(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*m - 9 = -3, 4*m = -3*a + 17. Let s(b) = -4*b**2 + 3*b - 1. Let w(v) = 5*v**2 - 3*v + 2. Let z(d) = 4*s(d) + 3*w(d). Give z(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1189.\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 7*a**3 + 6 + 0*a**3 + 2*a**3 + 0*a**3 - a**3 - 3*a**3 + 3*a**3 + (-1 + 3 - 4)*(a**3 - 4 + 4) - a**3 + 0*a**3 - a**3 - a**3 - a**3 + 3*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-68))\/(14595\/12510).\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p - 3*h + 17 = 0, h = -5*p + 24. Suppose 5*c = 2*b + b + 40, 4*b = p*c - 45. Let x be (-11)\/65 + (12\/c - 2). Is 0 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - n. Let g be w(-1). Let h be -1 + g\/3 + 0. Do 0 and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 2\/111 (b) 2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 8:11 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7 rounded to 1 dp?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000260035 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 20*o - 36*o - 11 + 3*o - 11*o to p*o + b and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*n - 2*u - 34, 0 = -n - 4*u + 17. Let z be (n\/(-6) - -2) + (-35715)\/6. Is 12 a factor of 2\/7 - (z\/42 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-3*c**3 - 2*c**3 + 6*c**3 + (-29 + 36*c + 29)*(-c**2 + 4*c**2 - c**2)).\nAnswer: 146*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -446, -891, -1338, -1787, -2238?\n\"Answer: -f**2 - 442*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + b + 1. Let i = 10 - 7. Let w be d(i). Let p be 4\/(-10)*(-10)\/2. Sort p, 1, w in ascending order.\nAnswer: w, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 2:23 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*a - 40, -5*c + 5*a + 87 = 6*a. Is 15 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32579*a + 65145*a - 32656*a.\nAnswer: -90*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3 = 3*o. Suppose 4*x + o*l = 5*x + 60, -3*x - 167 = 4*l. What is the tens digit of 2*3\/((-18)\/x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(25\/4))**(-7) assuming w is positive.\nAnswer: w**(-175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 177167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 49 = 3*n + 34, 3*g - 2*n = 127. Let f = -1 + 3. Suppose f*b - 11 = b. Calculate the remainder when g is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241?\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1188.8155 to 0 decimal places.\nAnswer: -1189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 938\/6 + 2\/(-6). Let m = p - 17. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56845520 - 8*v**2 + v**3 - 56845520.\nAnswer: v**3 - 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 2*p**7\/21 - 4*p**6\/5 - 26*p**5\/3 + 100*p**4 + 250*p**3\/3 + 6*p**2 + 56. Factor v(r).\nAnswer: 4*(r - 5)**2*(r + 5)*(5*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 9 + 4)*(8*b - 1 - 10*b + 19) as a + z*b and give a.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 6. Suppose 3*z = -a*x + 52, -4*z = -2*x + 4 - 0. Suppose 2 = 3*w - w, 2*w = -t + 1. Sort -2, t, x in increasing order.\nAnswer: -2, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1046 = -593*u - 6390 - 2958 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v + 8. Let u be a(-4). List the prime factors of 27 + (-1 + -6 - u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136*45\/(-405)*99\/44?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*f**2 - 122*f**2 - 118*f**2 + 14.\nAnswer: -3*f**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -30058000 to the nearest 100000.\nAnswer: -30100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-20) + 42\/8. Suppose n = -4*n + s. Is 0 + (1 - n) - -32 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 2 - (-1417)\/(-11)*1. Let v = h - -130. Which is the second smallest value? (a) -3\/4 (b) v (c) 1\/10 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 8731*c - 48. Let f be q(25). Suppose f = 4*u + 1938227. What is u rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1931.85 rounded to the nearest 10?\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/150 and -149\/80160?\nAnswer: 400800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -396.7 + 350. Let u = a - -51. Let n = -4.1 + u. Put 4, -0.3, n in descending order.\nAnswer: 4, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmyymym. What is prob of sequence my?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1419*q - 1 + 3 + 169*q)*(4*q - 3*q - 3*q).\nAnswer: -3176*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 7:57 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**6\/63 - 62*g**5\/105 + 95*g**4\/21 + 1532*g**3\/63 + 119*g**2\/3 + 578*g\/21 - 218. Factor r(b).\nAnswer: 2*(b - 17)**2*(b + 1)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -1, -342, 5 in descending order.\nAnswer: 5, 4, 0, -1, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -881.9 + 881.8. What is the closest to x in -0.1, -8, 1\/3, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2009*n + 1028*n + 1058*n - 3*n + 3*n - n + (0 + 2 + 0)*(2*n - 2 + 2) + (1 + 4 - 3)*(-3*n + n + 3*n) - 2*n - 6*n + 7*n as v*n + t and give v.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4. Suppose 5*z - 3*s = 4, t*s + 2*s = 2*z. Suppose 4*b + 5 = -5*c, -2 + 21 = -5*b - z*c. Sort -3, b, 5\/2 in ascending order.\nAnswer: b, -3, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*u + 81 = -39. Suppose 5*p = s + 77, -2*p + 0*s - s + 35 = 0. Calculate the least common multiple of p and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.95 - -4.149. Let s = -0.259 + l. Let d be (-1)\/2 - (-1)\/(-4). Which is the third biggest value? (a) -5 (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 2*o**2 + 0*o**2. Let y(x) = 2*x. What is y(u(c))?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 147*w - 38*w - 107*w + 18. Let i(j) = -j - 9. Determine 2*f(h) + 5*i(h).\nAnswer: -h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 972 + -969. Suppose 3*g = -2 + 20. Solve z*i = -g + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(10\/56692) + -1. Let a(l) = -132*l - 1358. Let p be a(-11). Suppose p*u - b = 89*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*a = -a + 42, 3*t + 2*a + 41 = 0. Let j = -3 - t. Suppose 0*s - s = -2, 3*o = -s + 122. What is the remainder when o is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18435 and 10?\nAnswer: 36870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Suppose 15 + 13 = c*h. Let x be 210\/(-5)*4\/(-8). What is the highest common divisor of x and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/9 + 124*j**3\/9 + 2594*j**2\/9 + 6944*j\/3 + 6272.\nAnswer: 2*(j + 7)**2*(j + 24)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 218630 - 12?\nAnswer: 218618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5171911 a multiple of 663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and 99.7.\nAnswer: 106.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.803473 months to years.\nAnswer: 0.73362275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 4, t - 10 = -3*n. Suppose -8 = -n*m + 22. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2 - 3*k - 2. Let u be v(-3). Let r be (u + -1)\/((-12)\/40). Suppose 4*n + 0*c + 3*c = r, -2*c + 75 = 3*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1019*p**2 - 66*p - 12 wrt p.\nAnswer: -2038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-26) + (-1122)\/(-26). Let c = -30 + t. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -21, -43, -83, -147, -241?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1172270 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-36))\/((-2)\/(-24)). Sort -1\/7, 2\/9, l in descending order.\nAnswer: l, 2\/9, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/27*9\/(-12)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a**(-3)*a)\/a)\/a**5)**(8\/15) assuming a is positive.\nAnswer: a**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 18*p + 125. Let h = -243 + 242. Let g(r) = r - 5. Let t(c) = h*b(c) - 4*g(c). Find the first derivative of t(l) wrt l.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 5*j + 7. Let r be u(-6). Suppose r = -4*p + 9. Calculate the remainder when 2 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124 + -91. Calculate the greatest common divisor of w and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6325 = -63*b + 479. Solve 13*o + b = 186 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (80\/28)\/(4\/70). Suppose 0*t + 5*f - k = -t, 3*t - 2*f - 218 = 0. What is the greatest common factor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 + 140*g**3 + 1284*g**2 + 884*g - 2312.\nAnswer: 4*(g - 1)*(g + 2)*(g + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*110790\/(-4924)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -76*w + 2934. Determine k(38).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 474379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 2602 + (-6)\/3 + 6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.975 - -3.709. Which is greater: -19 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316*r + 1386 = 327*r. Calculate the greatest common divisor of 315 and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*d + 14, -3*d + 2*d + 7 = h. Let f = -9 - -5. Let m be f\/14 + 156\/h. What is the highest common divisor of m and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -56*h + 1295. Let u be t(23). Let v be (-12)\/(-42) - 500\/(-14). Solve 4*a = 4*d + v, u*d = 4*d + 4*a - 32 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11165937 - 6528348. Let f = w + -4637579.000285. Let v = -10 + f. Round v to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(-70) - 3\/(-5). What is the nearest to 1\/4 in f, -4, -6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6770 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 y = -31 + 30. Suppose -3*g + 4*t = -31, 3 + 32 = 3*g - 5*t. Let c be (9\/(-5))\/(y\/g). What is the highest common divisor of 27 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 25 - 1 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2200 or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, p: 1, y: 1, c: 7}. What is prob of sequence ccci?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71835.498ns in weeks?\nAnswer: 0.000000000118775625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-1) - (2\/7 - 2). What is the closest to 0.1 in -1\/4, 0.2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*d = 2*u - 1, -2*u + 4*d - 6 = 0. Let r be -1*(0 - (u + -1)). What is the derivative of 0*w**3 + w**3 + r - 1 + 2*w**3 wrt w?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - -22 - 12\/3. Calculate the highest common factor of f and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -65*b**3 + 3*b**2 + 4*b + 1. Let p(r) = -5*r + r - 31 - 11*r + 10*r. Let s be p(-6). List the prime factors of h(s).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + -46 + 85 + -51?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 2*w - 1. Determine b(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -10. Suppose m*p + 5*s - 10 = 9, 5*p + 4*s = 35. What is the common denominator of ((-101)\/(-2) + -3)\/p and -39\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 51 = -33*d + 13*d, -5*a = -7*a - 5*d - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*g - l + 805, 4*g = 4*l + 660. What is the second derivative of 16*d**5 + 12*d**5 + 174*d - g*d wrt d?\nAnswer: 560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*u - n, -3*n - 1 - 4 = -4*u. What is the second derivative of 24*g - 18*g**4 - u*g**4 - 2*g**4 wrt g?\nAnswer: -264*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-24) - 2\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009487 rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a day?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1094 - 4375\/4. Let i be (-2)\/(-24) - 6\/(-36). Factor 0*u - 1\/4*u**4 + 0 + 1\/4*u**2 + i*u**5 - k*u**3.\nAnswer: u**2*(u - 1)**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 = -58*v - 265 - 382 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 576?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33689.13l?\nAnswer: 33689130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5762 + -5750. Calculate the highest common divisor of s and 831.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7903 - -7900. Let v(s) = 19*s - 5. Let a(h) = -2 - 9*h + 5 + 0. Calculate g*v(l) - 5*a(l).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(7*h + 12*h - h) - 18*h + 7*h - 27*h.\nAnswer: -74*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-3 - 5) + 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 8043 = -9*q. What are the prime factors of q?\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (11 + -17 - -19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z - 5*z = -322860. What are the prime factors of z?\nAnswer: 2, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 13\/8, -14\/29, 589.6 in decreasing order.\nAnswer: 589.6, 13\/8, 0.5, -14\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74556876*u**3 - 10*u**2 + 39085*u + 29?\nAnswer: 447341256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34720 and 600.\nAnswer: 520800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b + 3*b)*(23 - 23 - 12*b) - 7*b**2 + 18 - 18.\nAnswer: -31*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -4.1512.\nAnswer: -0.83024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + y + 3. Let a be d(0). Suppose 25 = 2*o + a*o. Solve o*i - 3*i + 24 = 4*r, 5*r = 5*i + 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 5:11 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2209612489.\nAnswer: 7, 315658927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 6 = 4*b. Suppose 0 = 2*i - 4*i + 2*h - 2, -h - 7 = -5*i. Let o(k) = -k**3 + 7*k**2 - 5*k - 2. Let p be o(6). Solve b*w + i = -p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6214612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m - 3. Let d be b(2). Let h = -6 + d. Let n be (-1)\/(-6)*(-6)\/(-4). Put -0.4, n, h in descending order.\nAnswer: h, n, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36)\/(314\/1148 - 3\/(105\/10)). What is the greatest common factor of a and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 + 80. Which is the biggest value? (a) -0.5 (b) u (c) -3 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 3 + 4 + 2. What is the units digit of x(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1442 is divided by 111.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 41. Suppose x = -5*g - v + 104, -3*v - 76 = -4*g - 2*v. Solve -5*c - 5*j = -10, j = 3*c + 2*c + g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568 a factor of 592424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/(-63))\/(3\/294). What is the second derivative of 12616*b**2 - 2*b**5 - f*b - 2 - 12616*b**2 wrt b?\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**3 + 19*k**2 + 335*k - 7. Let f(w) = w**3 - 4*w**2 - 84*w + 2. What is 9*f(r) + 2*u(r)?\nAnswer: -r**3 + 2*r**2 - 86*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -2737.\nAnswer: 15\/2737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - q**2 - q + 1. Let w(p) = -4*p**3 + 4*p. Let m(u) = -2*a(u) - w(u). Factor m(x).\nAnswer: 2*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5 = -8. Solve 2*f - 23 = -n*k + 8*k, 5*f = 5*k + 35 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.31 + -401.31. Let t = o - -400.999759. What is t rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.34 (b) 1\/11 (c) 62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81700.\nAnswer: 2, 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029122 to 4 decimal places.\nAnswer: 0.0291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c93b + -3?\nAnswer: c938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2892.7028219+-0.14\nAnswer: -2892.8428219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -957, -960, -965, -972?\n\"Answer: -v**2 - 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-78)\/(-10)*(2 + 13). Calculate the highest common factor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 12120 = 36*b + 4*b. Is 396 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14297, -29371, -44445, -59519, -74593, -89667?\nAnswer: -104741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-19)*a)\/a*a)**(1\/6)*(a\/(a\/(a*a**(10\/13)))*a*a)**(-45) assuming a is positive.\nAnswer: a**(-13451\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 410 and 492?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -9*g - 2. Let b(p) = -25*p - 4. Let w(c) = 74*c + 12. Let u(n) = 17*b(n) + 6*w(n). Calculate -4*u(r) - 9*y(r).\nAnswer: 5*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 898\/10 + 6 + 145\/(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*((sqrt(98) + -3*(1 + sqrt(98)))*2 - 5*(sqrt(98) + sqrt(98)*2 + -5 + sqrt(98))))**2*-6.\nAnswer: -1723680*sqrt(2) + 15338430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + -3. Let v = j + 48. Solve -2*w + 23 = v*a, -a - 5 = -2*a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/92 and 81\/22.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/25 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**2 + 203015*c - 108565310 = 0. What is c?\nAnswer: 542, 40061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 17*c**3 - 3*c**2 + 2*c**2.\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 961, -5, 5, -27, 2, -8, -1 in ascending order.\nAnswer: -27, -8, -5, -1, 2, 5, 961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655337574 a multiple of 1778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(-14)\/(-10)*-2. What is the first derivative of -x - j - j + j wrt j?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*k**2 - 9*k**2 - 18*k**2)*(-2*k**2 + 4*k**2 + 0*k**2)*(3*k - 2*k - 3*k).\nAnswer: 60*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**8\/3360 + k**5\/24 - k**4\/24 + 2*k**2. Let i(o) be the second derivative of x(o). Differentiate i(b) with respect to b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 3. Let f(y) = 5*y**2 + 3*y - 6. Let t(j) = -8*j**2 - 4*j + 7. Let i(w) = -3*f(w) - 2*t(w). What is -2*i(l) + 3*u(l)?\nAnswer: l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 3 - -13 - (-64 + 67)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 216814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 3*v - 1. Let c be (4 + 0)*-1 + 1. List the prime factors of s(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/5 - 182*b\/5 - 183\/5.\nAnswer: (b - 183)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 538 - 416. Suppose 4*a + j - 675 = 6*j, -5*a - 3*j = -890. Let q = a - p. List the prime factors of q.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7464096 by 23.\nAnswer: 7464096\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 0 - 15 - 8 + 6*n - 16*n**2. Let t = 32 + -38. Let f(q) = 17*q**2 - 5*q + 22. Let v(x) = t*f(x) - 5*k(x). Differentiate v(z) wrt z.\nAnswer: -44*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*c - 48*c**6 + 20*c + 10*c**6 - 23*c - 2*c**2 + c**3 wrt c?\nAnswer: -4560*c**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*1\/(-4)*-2. Suppose -5*m - 167 = -3*b - d*m, -m + 230 = 4*b. Is b a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 163780 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -94399.\nAnswer: 4\/94399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11809 - -11821. Suppose 1 = y, 8*u - 23 = 3*u + 2*y. Solve 4*r + 28 = -3*k, -2*r + s = -u*k - 0*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255.7945 millilitres to litres.\nAnswer: 0.2557945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + 117. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**3\/3 - 5*v**2 - 10*v + 1. Let d(l) = 3*l + 5. Let o be d(-4). Is q(o) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70860261*m**4 + 670745*m + 43.\nAnswer: -850323132*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1062656*x - 1628309*x - 2237946*x - 5718865*x.\nAnswer: -10647776*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 4*o**2 - 2*o + 2. Suppose -3*l + 30 = 2*q - 5, 0 = -3*q + 2*l + 85. Let p = 23 - q. Let w be b(p). Put w, 2\/5, 2\/9 in increasing order.\nAnswer: w, 2\/9, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from {v: 1, h: 1, i: 2, s: 7, f: 2, y: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -15823*b + 142409. What is w(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:58 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 3*f + 48. Suppose 4*n + 0*n = f. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2. Let q = 3 - d. Let w = q + 2. Sort w, -0.4, -3 in descending order.\nAnswer: w, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(3)*2*2 + sqrt(30)\/(2*sqrt(10)) + ((sqrt(45)\/sqrt(5))\/sqrt(3) - sqrt(3)).\nAnswer: 25*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1) + 8268\/(-318) + 1*(-26)\/(-2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4236795 divided by 5\nAnswer: -847359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 13*m - 17 = 5*c, -3*m - c = 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 5:36 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -99 greater than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2517959093?\nAnswer: 13, 67, 2890883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 47.1. Let g = 6821783.09999954 - 6821783. Let r = f - g. Round r to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, s: 7, z: 8}. Give prob of picking 4 s.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + 20. Let i = j - -9. Let f = -3 + i. Calculate the highest common divisor of f and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, 4\/7, -53, -119.1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 3*k**2 + k - 1. Let m = 55 + -51. Give t(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*j**2\/13 - 4994*j\/13 - 306498\/13.\nAnswer: -2*(j + 69)*(4*j + 2221)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (1 + 0) - (-35 - (20 - 54)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 - -1.06. Let k = -0.24 - f. Put -1\/7, 4, k in descending order.\nAnswer: 4, k, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -66775, -133637, -200499, -267361, -334223?\n\"Answer: -66862*r + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 144 - 133. Let z = -2\/795 - 1564\/10335. Sort 1, w, z in ascending order.\nAnswer: z, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/7 (b) 0.3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.0785 (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.0491 - -0.0491. Which is the second biggest value? (a) -10.9 (b) -4 (c) n (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220010020101 (base 3) in base 12?\nAnswer: 1aa8a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0243789 or -7?\nAnswer: 0.0243789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p\/p**(-1)))\/p)**1\/((p*p**(-2))\/p*(p\/p**(1\/2))\/p) assuming p is positive.\nAnswer: sqrt(p)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256, -1238, -2876, -5170?\nAnswer: -8120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 5*r + 5*t - 350, 4*t = -3*r + 238. Let l = -11 + r. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (-115 + 28 - -74)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 233730281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 918746 = 43*i - 12089657. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**2 + 8*x - 320 = 0. What is x?\nAnswer: -10, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4373.2987058797 - 0.5.\nAnswer: 4372.7987058797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 166 + -154. Solve -4*v + 8 = 5*k - y, 3*k + 2*v = 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03152, -0.1, -1\/11, 3, 1\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -12, 5, 158, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*u - 5*k + 18, -15*k + 45 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(140\/8))\/((-13)\/((-195)\/(-21)))?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + n = 2*d - 8, -3*d + 3*n + 6 = 0. Suppose -p + d*p = 4*a - 14, 0 = 4*p - 2*a. Suppose -4*i + 124 = -p*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37\/2 of a microgram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 250 = 101. Let t = 99 - b. Is t less than or equal to -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 3\/2357678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbnbbbwnhbwwbswb. What is prob of sequence bns?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5005 + b5?\nAnswer: 50ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 13323.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 531931.428 minutes to weeks.\nAnswer: 52.770975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w - 9*w - 8*w - 2*w.\nAnswer: -27*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4891 is divided by ((-8352)\/1218)\/(6\/(-147)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 26179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360261*d**2 + 360261*d**2 + 5*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 74294399 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -638.847 times 10\nAnswer: -6388.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**3 + 5*k**2 - 3*k - 4. Let a(o) = -o**3 + 10*o**2 - 9*o + 5. Let f be a(9). Let q(s) = 2*s**3 + 3*s**2 - 2*s - 2. Calculate f*q(d) - 3*z(d).\nAnswer: -2*d**3 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from qriqoqrqrrrqqqrro?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1466.025 take away 0.64?\nAnswer: -1466.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 401873614 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide -4 + 232\/60 - 2228\/(-60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104436028?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 25483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 3:50 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3273 by 1091.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73 or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 49*d + 189. Determine y(-5).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyysjjysjjy. What is prob of picking 1 y and 1 s?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 3*f**2\/2 - 3. Let x(t) be the first derivative of -109*t + 109*t - t**2 + 21. Determine x(p(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1 - 7*k**2 - 3*k + 6*k**2 + 5*k. Let f(y) = -y - 5. Let m be f(-7). Let i be r(m). Is -3 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 12*t**2 + t - 16. Let w be k(12). Which is the smallest value? (a) -0.5 (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-3)*(((-75)\/(-20))\/(-3))\/(-305)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l. Let q(m) = -5*m. Let g(f) = 4*q(f) - 7*y(f). Let a(i) be the second derivative of -3*i**3\/2 - 7*i. Give g(a(d)).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x - 5*x + 3*x)*(-7 + 9 - 14)*(0 + 6 - 3) to s*x + p and give s.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2\/7 + (-225)\/126.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 78*n - 166. Give f(33).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-14)*x)\/(x**10\/x)*(x*x\/x**(-10))\/x**(3\/2) assuming x is positive.\nAnswer: x**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -8. Suppose 0 = -q*d + 16*d - 4. What is the units digit of (d\/2)\/(17\/(-816))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -28. Suppose 4*a = -2*x, -a = -5*a + 5*x + 14. Calculate the common denominator of 52\/7 and -2 - ((-106)\/p + a).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31116, 38146, 45176, 52206, 59236?\n\"Answer: 7030*q + 24086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n - 57*n = -20*n - 28. What is s in 18\/5 - 8\/5*s**3 - 4\/5*s**2 + 24\/5*s + 2\/5*s**n = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2548, 4802, 6310, 6700, 5600?\nAnswer: 2638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-6)*45\/(-420)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-10\/11)*u)*u)**25)**(1\/9) assuming u is positive.\nAnswer: u**(175\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7886825 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5603603*d**4*r + 2*d**4 - 14180009*r wrt d.\nAnswer: 22414412*d**3*r + 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1342.3879475554 and -1.9?\nAnswer: 1344.2879475554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373 = -83*v + 374 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00275751 to five dps.\nAnswer: 0.00276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.349 * -5.\nAnswer: 1.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spp when three letters picked without replacement from {p: 3, f: 1, s: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20151818*g**4 + 25854361*g**2 wrt g.\nAnswer: 483643632*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -71c (base 13) to base 8\nAnswer: -2270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19977064.\nAnswer: 2, 23, 108571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40, 25, -12, -83, -200, -375, -620, -947?\n\"Answer: -2*g**3 + g**2 - 4*g + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhqqqqjhhqqqifhqhq. What is prob of picking 2 f and 1 j?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15080*v + 33497?\nAnswer: 15080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3008, -1, 2, 2\/5, 150?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.065 and 3?\nAnswer: 0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*p**2 - 11*p**2 + 20*p**2)*(1 - 1 - p**2) as v + d*p**2 + a*p**3 + c*p + i*p**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + u**2 + u. Let b(a) = 2*a**3 + 3*a**2 + 5*a + 1. Let n(l) = b(l) - 3*j(l). Let p = -62 + 64. Give n(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-18)*2\/3*(-3024)\/(-1344). Put -2\/55, -6, o in ascending order.\nAnswer: -6, o, -2\/55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 12) to base 15.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -109*g + 63*g + 43*g. Let f(v) = -81*v. Give b(f(y)).\nAnswer: 243*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 67496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-10))\/(1248\/(-720)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 4*q - 26*q**2 - 6591*q**3 - 6674*q**3 + 13276*q**3.\nAnswer: 11*q**3 - 26*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 638*i + 575 with respect to i.\nAnswer: 638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2205 + 1492 + 1082)*(-3*k**2 - 2 + k**2 - 29*k + 28*k) as y*k**2 + c + d*k and give d.\nAnswer: -4779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**5*g\/(g\/(g\/(g\/(g\/((g*g\/(g\/(g\/(g\/g**5*g)*g)))\/g))))*g*g)*g**(-2\/9)\/(g\/((g*g*g**(-4))\/g))*(g*g**(-3\/8)*g**(1\/5))**37 assuming g is positive.\nAnswer: g**(9469\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millennium in centuries?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 78 = -63. Let q = u + 176. Let x = q + -115. Is x a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 976*f**3 + 13481*f**2 + 12506*f.\nAnswer: f*(f + 1)*(f + 13)*(f + 962)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + f + 52, -212 = -18*p + 20*p + 24*f. Suppose -6*o + o = -105. What is the remainder when o is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39444.\nAnswer: 2, 3, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 126 = -49. Suppose -8*m = -3*m - 70. Which is smaller: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31.5007 * 0.5\nAnswer: -15.75035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 101. Let t be o(24). Let m(j) = -7*j. Let r be m(4). Let k = t + r. Calculate the remainder when k is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-12) + (-2)\/(-4). Suppose 5*s = q + 1, 6*q = x*q + 2*s + 68. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*1\/4*12\/288*8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4\/6 + 4826077*c**3\/6 - 2587893168245*c**2\/2 + 4163141151811085143*c\/6 - 8326220194340566742\/3 = 0. Calculate c.\nAnswer: 4, 1608691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22855579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 387007006322 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -590 + 581.6. Which is the fourth biggest value? (a) 2 (b) 1\/3 (c) h (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -44*c**2 - 1\/3*c**4 - 400\/3*c - 19\/3*c**3 - 448\/3 = 0.\nAnswer: -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 3*c**2 - 2*c + 1. Let h be w(-4). Let b be (-6)\/(-6) + (27\/(-36))\/((-3)\/16). Calculate the highest common divisor of b and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/57106000 and -79\/1305280.\nAnswer: 228424000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286043, -286073, -286103, -286133, -286163?\nAnswer: -286193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 4. Let g be 2\/(-1 + (-14)\/(-18)). Let x = 5 + g. Give u(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3659 - -3795. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30178506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5845.3 rounded to the nearest ten?\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 184.94559 hours?\nAnswer: 7.70606625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -252, 323, 24, 4, 3 in ascending order.\nAnswer: -252, -3, 3, 4, 24, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d + 12. Let b be k(-3). Suppose -7*u = -b*u - 72. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 7.56.\nAnswer: 15.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 20 = 3*l, 0 = 5*f + 4*l - 209. Solve f = 10*p - p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2891.0253991 + 289.7.\nAnswer: -2601.3253991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 2*h - 184, 7366*n - 7396*n - 2*h + 150 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**3 - 8*y**2 - 4*y + 7. Let h(g) = 2*g**3 + 4*g**2 + 2*g - 3. Let z(k) = 3*b(k) + 7*h(k). Determine i so that z(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151218 + 66110 = 47*z. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -10*s - 25. Let f be i(-7). Let c = -38 + f. Calculate the remainder when 33 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhxaba. What is prob of sequence baha?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -439 - 3*y**2 + 883 - 9*y**2 - 442 - 12*y**3 + 10*y**3 - 23*y in the form b*y + j*y**3 + k*y**2 + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**25\/(t\/(t\/(t\/((t*t**(4\/11)*t)\/t)))))**(-4) assuming t is positive.\nAnswer: t**(-1116\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.787433ug in milligrams?\nAnswer: 0.005787433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220729399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 - 3)*(-5)\/(-6). Solve 4 = i*p - a - 4, -5*a + 16 = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -270\/11 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-9\/8)*d*d**(-11\/4)*(d\/(d**(10\/9)\/d))**(-17) assuming d is positive.\nAnswer: d**(-1223\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 10) to base 3\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b1 (base 13) to base 11.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l**2 + l. Let r(f) = 62946*f. Calculate r(n(c)).\nAnswer: 566514*c**2 + 62946*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 564071378.70000345 - 564071320. Let u = g - 58.7. Round u to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 758 - 531. Let x = -90 + h. List the prime factors of x.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 620, 580, 540, 500?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*l = 3, 2*l - 54 = -5*v - l. Let g(r) = v*r - 4*r + 3*r. Let a(h) = -7*h. Let w(q) = -7*a(q) - 6*g(q). Let x(o) = o**2. Calculate x(w(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + 0 + (84 - 91)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 1:35 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -11*d**3 - 10*d**2 + 30*d - 25. What is v(2)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -12*t**2. Let g(i) = 125*i**2. Give n(g(f)).\nAnswer: -187500*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7 + -1 + 0 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32656 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Let d be 23\/w*(-11 - -13). List the prime factors of d - (0 - 12\/4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 3}. Give prob of sequence wg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 12 + 81. Suppose -t = 5*q - 6*t - 35, 5*t + d = 3*q. What is the second derivative of 3*p**2 - 22*p + 4*p**q - 7*p**2 + 26*p**2 wrt p?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06289 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*h - 9. Let z(c) = -8*c + 6. Does 9 divide z(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + -6 + (1 - (3 + 12)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-461895)\/3154)\/(-371)*(-3)\/((-45)\/(-12))\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-12) + 1311\/(-9). Let p = q + 342. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155238186.\nAnswer: 2, 3, 17, 211, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 14. Suppose 13 + 7 = a*w. Solve -w*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from xuvtotg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 1. Let c be 230\/(-6) + 1\/3. Let f be (c\/8 + (1 - -3))*-4. Give h(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*s + 1. Let n(j) = -j**3 + 4*j**2 + 3*j - 5. Is n(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 17*i - 294. Let p be 26\/2145*11 - (-313)\/15. Calculate the remainder when 109 is divided by r(p).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 7:21 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dttd when four letters picked without replacement from {d: 3, t: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2665.35 + -2668. Sort 3, 0.1, a in decreasing order.\nAnswer: 3, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1976 - 614 = -4*h, -15 = -3*l. Is h a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -86 - 5ca68?\nAnswer: -5caee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 7. Let k = 151 - 131. Calculate the remainder when w(-6) is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**5 + 87*y**4 + 480*y**3 - 4560*y**2 - 41088*y - 79872 = 0.\nAnswer: -16, -13, -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 69 + 15. Let f be s\/(-27) - 46801\/(-3). What is f rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94745 - 49261. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 3*a + 37, -3*a - 1154 + 1125 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1368750 is divided by 195534.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 404*m - 431 - 228 + 367 - 305 - 597.\nAnswer: -2*(m + 3)*(m + 199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 1\/6*q**4 + 5*q - 1\/2*q**3 + 3 + 0*q**2. Let c(w) be the second derivative of -w**4\/4 + 2*w**3\/3 - w. Give 3*c(l) + 4*t(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -24*s + 73. Give a(5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 25 = -5*a, n = -a - 4*n + 5. Suppose 10*l = 5*l - a. Is (-117)\/(-6) + l\/2 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5. Let v(i) = 2. Let s(f) = 3*n(f) - 8*v(f). Let k(m) = -5*m - 3. Give k(q) - 3*s(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5400)\/50)\/36)\/(1\/(2*(-8)\/(-6))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by -2?\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 - 343190*o - 1029569\/3.\nAnswer: -(o + 1)*(o + 1029569)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnczzcccncccncc. What is prob of picking 1 n and 1 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01, 1, -322, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 8*l**2 + 33*l + 252. What is v(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 7:57 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50104579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.18 and 1313?\nAnswer: 236.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from uoqcusm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhmhhhmhhhm. Give prob of sequence mm.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -927*d + 91203 - 161655 = 0 for d.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -168724 divided by 2\nAnswer: -84362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 1.38. Let l = c + -0.52. Which is greater: 32 or l?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 10*o + 11. Let d be n(-11). Suppose 3*g = -d*m + 2*m - 218, 147 = -2*g + 3*m. Let s = -40 - g. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2974830 by -5219.\nAnswer: -570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkk. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1. Let h(d) = 16*d**2 + 19*d + 4. Let u be h(-1). Let p(z) = 3*z - 2. Determine u*p(t) - 2*r(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -816, -818, -822, -828, -836, -846, -858?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 9\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 135213?\nAnswer: 135213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/272854 and 27\/68.\nAnswer: 9277036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 534130?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22253 (base 8) in base 15?\nAnswer: 2bac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**5\/20 + d**4\/3 + d**3\/2 + 3*d**2\/2 + 3*d. Let o be a(5). Let r = -4 - o. Solve 0 = l + r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 10:42 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**5 - 3*p**5 + 6*p**5 + (4 + 0 - 2)*(-2*p**5 + 0*p**3 + 0*p**3) + 4*p**5 + 7*p**3 - 7*p**3)*(-2 + 1 - 2).\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5\/5 - 2488*u**4\/5 - 37177*u**3\/5 - 202978*u**2\/5 - 474976*u\/5 - 79136 = 0. What is u?\nAnswer: -2473, -5, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26318 - -26316. Sort -39, 370, t in descending order.\nAnswer: 370, t, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2) + (sqrt(8)*-1)\/sqrt(4) - (1 + sqrt(2))*-1)**2*2 + ((1 + sqrt(162))**2 - (0 + sqrt(2) + sqrt(8))).\nAnswer: 23*sqrt(2) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + 0 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.115 - -1.115. Which is the nearest to 0? (a) 0.2 (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-six fifths of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1677 is divided by 432.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = t - 2*s, -t + 2*s - s + 12 = 0. Solve 4*d - t = o, 3*d - 7*d + 2*o + 8 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-5)*(7 + (-300)\/24).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6522 (base 7) in base 13?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*b**2 + 7*b**2 + 95 - 95 to t*b + v + x*b**2 and give x.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/(-22) - ((-216)\/198)\/(-2). Solve 3*v + 34 = -5*w, 3 = -2*w + 2*v - o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t. Let v(k) = k**3 - 3*k**2 - 2*k - 4. Let h = 31 + -27. Let s be v(h). Let l be (-4)\/3*(-3)\/8*s. Determine z(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18\/7, -0.2, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (((sqrt(5) - sqrt(20)\/sqrt(4)) + -5)**2 - sqrt(5)) - sqrt(5)) + -4.\nAnswer: -sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 300241 (base 6) in base 9?\nAnswer: 35117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b*g*z**4 - b*g*z**2 - 41*b*g*z - 5*b*z**2 - 5*g*z - 2911*z**4 wrt z?\nAnswer: -24*b*g*z - 69864*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 2. Let i = -6.3 + o. Round i to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(57)\/(1*sqrt(27)) - (sqrt(228)\/sqrt(4)*6)\/((sqrt(27) + sqrt(108)\/sqrt(4))\/sqrt(9)))**2.\nAnswer: 1900\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 146, -0.6, -2\/11, -85 in descending order.\nAnswer: 146, -2\/11, -0.6, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*((sqrt(720) - ((-3 + sqrt(720) - sqrt(720)) + 1)) + -3*(sqrt(720) - (sqrt(720) + 1 - sqrt(720))))*6 + 4.\nAnswer: -56 + 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 9:29 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12188064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67351 is divided by 22450.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/16)*l)**(-11)\/(l**(-18))**(-34) assuming l is positive.\nAnswer: l**(-9935\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-4\/5)*t)**(34\/7) assuming t is positive.\nAnswer: t**(204\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/2 - 32697*m**2\/2 + 43268580*m + 7008167142.\nAnswer: 3*(m - 5526)**2*(m + 153)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 15727284?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 11735592?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 25*f - 139. Suppose 0 = -25*m - 5796 + 5046. Determine g(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, f: 8}. Give prob of picking 2 b.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*y**3 - 322*y**3 - 335*y**3 + 998*y**3.\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 70?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/5 (b) -51\/7 (c) 0.05 (d) 1\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2. Let k(d) = -52424 + 2*d + 104811 - 52405. Let l = -1 - -3. Give l*k(z) - 18*h(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9021 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 + u**2 + u**2 + (-2 + 2 - u)*(-2*u + 0 + 0) + 2*u**2 - u + u + 177*u**2 + 109*u**2 - 68*u**2 as d + t*u**2 + i*u and give t.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53? (a) -39 (b) -0.01 (c) -0.2 (d) -13 (e) 2 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -419218, -1676800, -3772772, -6707134, -10479886, -15091028, -20540560?\n\"Answer: -419195*l**2 + 3*l - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(5\/7)\/i)\/i)\/(i*i**(-6\/11)))**(-1)\/(i**(5\/2)\/(i**(1\/9)\/i)*i*i**7*i**(-6)\/i) assuming i is positive.\nAnswer: i**(-3671\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29221.668*2.9.\nAnswer: -84742.8372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 236850.95589 - 237246.955888636. Let k = y - -396. What is k rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 85212625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -12 + 1 + (6 - 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 302, -8701, 2 in descending order.\nAnswer: 302, 2, -8701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 31 - (1 - 9) - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z = 668 - 3083. Calculate the greatest common factor of 161 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3929?\nAnswer: 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1232 + 14*s + 2467 - 1235 - 1327*s.\nAnswer: -1313*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i + 6. Let c(b) be the first derivative of -b**3\/3 + 7*b**2\/2 + b + 12. Give c(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1507, -1537, -1625, -1801, -2095, -2537, -3157?\n\"Answer: -5*x**3 + x**2 + 2*x - 1505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -226432 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.371418mm?\nAnswer: 0.005371418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -962463 * 0.2.\nAnswer: -192492.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 11:12 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 205095 - 2663689\/13. Suppose -5*g = -20, -m - 3*m - 776 = 2*g. Let x = u + m. Which is the closest to -0.1? (a) 5 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -126*d - 2\/3*d**5 + 68*d**3 - 32\/3*d**4 + 0 - 48*d**2 = 0.\nAnswer: -21, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**8\/224 + r**7\/140 + r**6\/80 - r**5\/40 + r**2\/2 - 4*r. Let u(b) be the first derivative of y(b). Solve u(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -660\/149597 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-135) + 227\/(-15). Is ((-9)\/t + 0)*145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -41. Suppose -4*r + 4 - 4 = a. Let i = 3878\/19 - 204. What is the smallest value in i, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 34*x - 241. Let o be m(40). Let f(q) = -52*q**3. Let c(g) = g**2 + g. Let s(h) = c(h) + f(h). What are the prime factors of s(o)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000182442 to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b + 6. Calculate z(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 288 + -288. Let g(t) = -t**3 - 13. What is g(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(4 - 7) + 4. List the prime factors of (-2)\/(z\/(-1)) - -31.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**2 - 103*o + 222. Let p be i(2). Let n(z) be the second derivative of 5*z**3\/6 + 3*z**2 + z. Give n(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11435, -11506, -11565, -11612?\n\"Answer: 6*f**2 - 89*f - 11352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*h - 22*h + 11*h)*(11*h - 5*h + 7*h) as q*h + g*h**2 + w and give g.\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83393?\nAnswer: 89, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32877924 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0. What is the closest to d in 2, 3, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10133*q + 10294*q + 3220 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75033 + -75618.131. Let j = 585 + y. Which is smaller: j or 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -28, 1\/103?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 774\/860*24\/81*15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 2. Let a(y) = 300*y**3 - y - 6. Determine -a(g) + 3*m(g).\nAnswer: -306*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a50c (base 14) to base 11.\nAnswer: 46251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 23592154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 22*x - 134. Let p be w(6). Is -28 + 33 - 494\/p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008067 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 5*k - 1. Let c(w) = 9*w. Let h be c(k). Let x = -3 + h. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + u + 0*u + u to the form m + q*u and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -288, -297, -282, -237, -156?\n\"Answer: n**3 + 6*n**2 - 34*n - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 8:56 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(3) + 0 + 3 - sqrt(18)\/(-5*sqrt(294)).\nAnswer: 36*sqrt(3)\/35 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -462966, -1 in descending order.\nAnswer: -1, -4, -462966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - d**2 + 2*d - 6. List the prime factors of u(-5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 860 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 859 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1628340 and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11443 = 5*y - j, 4*y + 2247 - 11399 = 2*j. Is y a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33345*k**3 - 3*k + 16712*k**3 + 16601*k**3.\nAnswer: -32*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) 3074475 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -20*o + 110. Calculate the smallest common multiple of o and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72157.\nAnswer: 59, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1196 and -0.07.\nAnswer: -0.008372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-104)\/(-70) + 3\/((-252)\/24). Put -65, f, -0.4 in descending order.\nAnswer: f, -0.4, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 12:05 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 4*z + 8, 0 = -4*z + 3*f + 18 + 2. Let k(a) = a - 3. Let p be k(7). Solve -10 + p = z*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, p: 1}. Give prob of sequence wwp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 less than -548715750.3724?\nAnswer: -548715710.3724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.88 - -2. Let b = h - -0.88. What is the third biggest value in -1\/7, -2\/9, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 244336, 244520, 245024, 246010, 247640, 250076, 253480, 258014?\n\"Answer: 27*t**3 - 2*t**2 + t + 244310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -236805415573\/408300 - -43499942\/75. Let d = -2\/1361 + c. What is the common denominator of d and 1 + (-119)\/44 + 1?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 8, 2*w + 6*h = 9*h - 870. Let n be (-8)\/(-7) - w\/(-511). Which is the smallest value? (a) -1 (b) -0.06 (c) n (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-1))\/q)\/q)\/q**(8\/3)*(q*q**(-2)\/q)**(-1\/9))**(-39) assuming q is positive.\nAnswer: q**(520\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4944, -4970, -4998, -5028?\n\"Answer: -p**2 - 23*p - 4920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*((3 - 1 - 3 + 1 - 2 + 2 + (-2 + 4 - 1)*(2 - 1 + 0))*(-11*v + 14*v + 5*v) - 2*v - 6 + 6).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1507022 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -14. Suppose -4*j + 3 = 4*f + 7, 5*j + q = 0. Solve -3*r = f*m - 5*r + 2, -2*r = 4*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -12. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-1)\/12*3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1.1, 7 in descending order.\nAnswer: 7, -1.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3487536 plus 2?\nAnswer: -3487534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11702 (base 8) in base 7?\nAnswer: -20514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/9 + 11 + -13 + (-8)\/48*218?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2141, -3, 0 in ascending order.\nAnswer: -2141, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151885 is divided by 257.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39, -53, -79, -123, -191, -289, -423, -599?\n\"Answer: -x**3 - 7*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1231 by 132.\nAnswer: -1231\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18 - 3779*g**4 - 174 + 3969*g**4 wrt g?\nAnswer: 760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, -65, -1, 65\/693 in ascending order.\nAnswer: -65, -1, -0.5, 0, 65\/693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*b - 275*b = -8466 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 9*b - 252. Let u be c(28). Suppose 5*a + 2*x + 3*x - 40 = 0, a - 3*x = -4. Solve z - a*z - 16 = u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -242 + 61*z + 509 - 219 in the form s + l*z and give l.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-7 - -4 - (-1 + -2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39 - -51c72?\nAnswer: 51cab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.888324383 to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j - 65*j**2 - 48*j + 24*j.\nAnswer: -65*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 5:58 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*h - 329 + 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w. Let g(h) = 2*h - 768*h**2 - 2*h + 803*h**2. Determine g(s(n)).\nAnswer: 35*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 8 - 43)*(-4*b**3 + 5*b**3 + 0*b**3) in the form c*b**3 + d + f*b**2 + g*b and give c.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25633*c + 10444 - 5211 - 5233.\nAnswer: 25633*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -642, -404, 250, 1530, 3646, 6808, 11226, 17110?\n\"Answer: 35*r**3 - 2*r**2 - r - 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 6, -103, 2, -1, -777 in decreasing order.\nAnswer: 6, 5, 4, 2, -1, -103, -777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 6*m + 3803 - 3803.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 403*p*u**3 + 292*p*u**2*x - 2*p*x - 5939*u**3 + 2*u*x + 2*u - 305*x - 2 wrt p.\nAnswer: 403*u**3 + 292*u**2*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21 + 14121)\/((-6)\/(-20)). Round k to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -206\/3 - -68. What is the second biggest value in 3\/7, -0.06, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -459*b + 6877. Calculate f(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 3*m + 108 = 0. Suppose 3*i + m = -138. Find the common denominator of -45\/8 and i\/(-30) + -1 + 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 97*t**2 - 124 + 47*t**2 + 11*t**2 - 9*t**2 wrt t.\nAnswer: 292*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*d - 6*d - 9*d - 10*d to the form m + i*d and give i.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*c + 6 = 54*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 + 7*u + 0*u - 6*u**5 + 0*u**5 + u wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s + 9*s**5 + 4*s + 2*s - 4*s**5 wrt s.\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 2331?\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -64, 0.4, -4, 45, -5\/2 in ascending order.\nAnswer: -64, -4, -5\/2, -2\/13, 0.4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32679072 to the nearest integer?\nAnswer: 5717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 5:46 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1020*v = -1018*v + 2. Let r = 2.56 - 2.26. What is the nearest to v in -0.2, -0.03, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*q**5 + 2*q**5 + 54*q**5 + (0*q**3 - 3*q**3 + 2*q**3)*(0*q**2 + 0*q**2 - 2*q**2).\nAnswer: 71*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/45 + (3\/35 - -1). Sort -13, q, 0.5 in ascending order.\nAnswer: -13, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 256*m**3 + 10*m**2*u - 146*m**2 + 7*m*u - 26*m - 34*u + 41 wrt m?\nAnswer: 1536*m + 20*u - 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 26, -1 in decreasing order.\nAnswer: 26, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294626 is divided by 138.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90703940 - -90786599.00072. Let x = -82666 + t. Let r = x + 7. Round r to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 29 = -4*y, -2*y = -3*k - 4*y - 17. What are the prime factors of 157\/4 + k\/28?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnaaann. What is prob of sequence nna?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, m: 2, f: 7, b: 3, l: 7}. Give prob of picking 1 m and 1 g.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1586*t. Let j(g) = 31*g**2 - 123*g**2 + 28*g**2 + 27*g**2 + 29*g**2. Give j(a(q)).\nAnswer: -20123168*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**4\/24 - p**3 + 26*p**2. Calculate k(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 899, -6127, -13149, -20167?\nAnswer: -27181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*m - 1323 = -18*m for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002696 to seven decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u*u*u*u**11*u*u*u**18 assuming u is positive.\nAnswer: u**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6613249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72.6 - -72.8. Let t be (-10)\/(-12)*(-9 - -15). What is the closest to s in t, 1, -3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w - w - 2723*w**2 + 2780*w**2 in the form l + o*w**2 + d*w and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 316, 1059, 2506, 4891, 8448?\nAnswer: 13411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 128 = -5*c + 371, 0 = -5*c - 2*m + 503. What is the greatest common factor of 1650 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4 + 4*i**3 - 14*i**2 + 8*i = 0. Calculate i.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-60)*-5)\/(105\/(-63)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-776)\/(-56) + -13)*7. Let n be (2\/10 - -1)*5. Suppose -6*u - 5*c = -u - 15, -2*u + n = -2*c. Solve 0 = -u*m + p*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11200435\/84 - -133337. Let w = 5\/28 + h. Suppose -2*r = -53 + 57. Which is the smallest value? (a) w (b) r (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 2*1\/(-2). Suppose 5*u + 0*u - 10 = z. Let t be ((-8)\/16)\/(u\/4). Sort t, 1\/4, -4.\nAnswer: -4, t, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4114 - 4113. Let q = -631\/63 + 10. Is c greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 3:30 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5620302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/109 in 2, 1065, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 78*q**3\/5 + 41520*q**2 + 3206376*q\/5 - 1524096\/5 = 0.\nAnswer: -2646, -16, 6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxxd when four letters picked without replacement from xtdmbmmpddmxmxxm.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/2 of a century in years?\nAnswer: 4550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38369.46 millilitres to litres.\nAnswer: 38.36946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*8\/6*(-29)\/116?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*q - 55 = 0, -8*b - 2*q = -3*b + 35. Let u = -10 + 3. What is the units digit of (-1*34)\/(b - u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 8 (b) -4 (c) 16 (d) -2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 32\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 35050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2386*t - 11125 - 53297 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/35037 and 56\/5057007?\nAnswer: 15171021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 19 = 3*u, 44*q - 45*q - 4 = u. Let x(s) = s**3 + 4*s**2 - 5*s + 4. Let m be x(-6). Sort u, -1, 5, m.\nAnswer: m, u, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 149212 in -0.04, 2\/7, -3, 4\/5, 15\/4?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -572*h**3 - h**2 + h + 1. Let k be o(-1). Let m = k - 308. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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 s = -6.61 - -1.61. Let z = -2.7 - -1.8. Let v = z - -1. Sort v, s, -4.\nAnswer: s, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2972073, 5944146, 8916219, 11888292?\nAnswer: 14860365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -142.89.\nAnswer: -142.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 2:45 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26.13*-0.09.\nAnswer: -2.3517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 548576143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 17*b - 3. Let u(n) = -16*n + 2. Let g(m) = -6*o(m) - 7*u(m). Let i be g(2). What is the greatest common divisor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -508*h**3 - 239*h**2?\nAnswer: -3048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 1, -n = -2*p + n. Let o be (p\/37)\/(3\/3). Let c be 1\/((-9)\/6 + 1)*(-299)\/(-598). Which is bigger: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5)\/g**(-8))\/((g**(1\/2)*g*g)\/g*g*g\/g**(-2\/11))*((g**(-2\/7))**(-25\/3))**18 assuming g is positive.\nAnswer: g**(36633\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 6:01 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5 + 10 + 23*a - 65*a + 25*a + 23*a. What is r(-5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i - 11. Let l be v(10). Suppose -2*j = -l - 15. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o - 17. Let f be n(7). Suppose 0 = -f*l + 419 - 9131. Is 20\/8 + l\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 718 divide 242392492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 48 = 6*a. Let q = -2 - -5. What is the third derivative of -11*f**2 + 3 - q - a*f**3 - 2*f**3 wrt f?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 + 4.03. Let q = 0.3 - 0.35. Let x = -0.25 + q. Which is the second biggest value? (a) y (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 2*r + 28 = 6*u - 8*r + 2*r, 2*u + 9*r = 52 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -434031, -432353, -430689, -429045, -427427, -425841?\n\"Answer: -d**3 - d**2 + 1688*d - 435717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y + 73. Let v be m(17). Let p(a) = -a**3 + 18*a**2 - 18*a + 17. Let z be p(17). Suppose 0*j + v*d - 3546 = -4*j, z = d + 2. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 2*w**2 - 2*w. Let y(u) = 3*u**3 + 56*u**2 - 65*u. Let n(c) = 6*m(c) - 3*y(c). Factor n(a).\nAnswer: -3*a*(a - 1)*(a + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1189 + 1184 - 21774*v + 21776*v + 1184 - 3557.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 4*s**3 - 2*s)*(-2*s**2 - s**2 + 4*s**2) - 5*s**5 + 2*s**5 - s**5 + 11*s**5 - 124*s**5 - 98*s**5.\nAnswer: -219*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62305494 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*y = 75*y + 5*x + 20, 20 = 2*y - 5*x. Solve 4*h + 5*q - 34 = y, -4*h - h + 22 = -4*q for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-1) - 0 - 1. Suppose 5*y - 601 = -3*l - l, 0 = -2*y + 2*l + 244. What is the greatest common factor of t and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16 - 46\/3*a - 2\/3*a**2.\nAnswer: -2*(a - 1)*(a + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q - 4. What is a(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2*((-16)\/(-5))\/4)\/((-234)\/1498185)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, s: 3, m: 3, q: 4, w: 4}. What is prob of picking 1 w and 2 m?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 104566330\/3 and 34855442 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 121305435 times 0.09\nAnswer: 10917489.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 8*l**2 + 9*l - 10. Let p be ((-5)\/3)\/(7\/(-21)). Let o be a(p). Let b be o\/(-2) + 3 + -6. Solve 4*y - 1 = -b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.2, -60, -2, 0, 4\/3, 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Let c = -15.2 + 18. Let d = c - 2.3. What is the closest to 0 in d, -1, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2627*q**2 + 8*q - q**4 + q**3 + 2639*q**2 - 3*q as c*q**4 + y*q**2 + v + b*q + o*q**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 14 + 2 = 0. Suppose -4 = 4*j - o*v, 0*j = 5*j + 2*v - 2. Find the common denominator of -22\/61 and 76\/(-3) - j\/(-2).\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -9.1 (b) -3 (c) -3\/8 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1875 = 2*j - 2233. What are the prime factors of j\/(-65)*2*5\/(-2)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*k**2*l + 33*k**2 - 154*k*l + 14*k wrt l.\nAnswer: -9*k**2 - 154*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (4 + -4)\/(-3). Sort q, 0, -4 in descending order.\nAnswer: q, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 19 - 21. Suppose -3*n - 2*n + c = 0, 0 = 4*l + 2*n - 48. Suppose 0 = 5*d - 32 - 63. Calculate the remainder when d is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -288073?\nAnswer: -288077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370, -377, -398, -439, -506, -605, -742?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*v + 1 = -2*p + 387*v, p - 28*v = 29 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3935\/7 + -561. Suppose -o*s**2 - 4\/7 - 10\/7*s - 2\/7*s**3 = 0. What is s?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1885311\/577 - -3694866482\/9809. Let u = m - 373309. Let f = u - 19911\/170. Calculate the common denominator of -5\/6 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*f - 19*f + 19*f**2 + 21 with respect to f.\nAnswer: 38*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 242 and -1013526.44987?\nAnswer: 1013768.44987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k**5 - 76*k**4 - 14792*k**3 - 43850*k**2 - 43663*k - 14522 = 0. Calculate k.\nAnswer: -274\/7, -1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/800*6\/9*108\/54?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**4\/6 - 3*y + 102. Let x(u) = -3*u**2 + 644. Give x(a(s)).\nAnswer: -12*s**4 + 644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**1)\/r)**25\/(((r**11*r)\/r)\/((r*r**(-13))\/r)) assuming r is positive.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -8*w**3 - 5*w**2 - 9*w + 1. Let z be h(-2). What is the greatest common divisor of 2289 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1034224220 - 4?\nAnswer: -1034224224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6073, 7207, 8441, 9775, 11209, 12743, 14377?\nAnswer: 16111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 45 = 3*p. What is the remainder when 129 is divided by 9*3 - (p + -8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.8826ml to litres.\nAnswer: 0.0178826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -17 - 8 - (0 + 0)) + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (448\/140)\/(3\/630) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-2) - 0) + (-189)\/45. Is i smaller than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 12*w**2 - 9*w - 7. Let c be g(-1). Solve 6*k + c - 32 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1000)\/(-875)*(8\/4)\/((-8)\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -6.53. Round h to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, l: 12, e: 3}. What is prob of sequence vee?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1720, 3432, 5144?\nAnswer: 6856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v + 4*v = 4*v + 1722. Let g = 141 - 22. What is the smallest common multiple of v and g?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 148.34194, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {l: 3, p: 10, o: 2, b: 4}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**2\/2 + 2013*p\/2 - 8148 = 0?\nAnswer: -679, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2463 and -2106.7.\nAnswer: 5188802.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 138798056.\nAnswer: 1\/34699514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*y**4 - 16*y**2 + 268*y + 1 wrt y?\nAnswer: -48*y**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j**2 - 2*j - 5*j**2 + 3*j - 5. Let f(x) be the first derivative of x**2 + 4\/3*x**3 + 7 - 9*x. Calculate -6*f(q) + 11*w(q).\nAnswer: -2*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 0 - 18 - 14) + 16.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -488, -1933, -4338, -7703?\n\"Answer: -480*s**2 - 5*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/17237045 and -13\/34474090.\nAnswer: 34474090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412397 + 412397 + 170*n**2.\nAnswer: 170*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -13*a**2 - 8*a + 23. Let c(t) = 10*t**2 + 8*t - 21. Let n(o) = -4*c(o) - 3*g(o). What is n(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + sqrt(320) + 2 + sqrt(320))*6 + (sqrt(320) - (2*sqrt(320) + -4)))**2 + (-1*(sqrt(320) + 2))**2 + (0 + 0 + sqrt(320))**2.\nAnswer: 4384*sqrt(5) + 93380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = a + 33, 13*u - 18*u - 5*a = -10. Calculate the remainder when 438 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (1 - -3) + (16 - 16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16579152 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 6*y + 5. Let u be k(-5). Let s be -723*6639 + -3 + u. Round s to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25*(-5915)\/(-1625) - 12?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -8*p - 79. Let w = 55 + p. Does w = 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 - 3210*z - 16000.\nAnswer: -2*(z + 5)*(z + 1600)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 34944.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -30472*z - 182831. Give x(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.08 - 1.0799893. What is l rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from {s: 4, w: 13, o: 3}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, y: 4, t: 1, m: 2, n: 2}. What is prob of picking 1 i, 1 y, and 2 m?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3. Let j be (-3)\/(9\/6)*-2. Suppose 4*d + 5 = -3*v, -j*d + v - 4 - 5 = 0. What is the least common multiple of 7 and o(d)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 56. Let n = -24 + k. Suppose -4*r = -3*q - 20, n*r - 4*r = -5*q + 4. Solve -r*y + 3*y - 10 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(108) + sqrt(108) + (sqrt(108) - sqrt(108)*-2))*1)\/sqrt(9))\/(2*sqrt(96) + (sqrt(6) - sqrt(12)\/sqrt(2)*-1) + sqrt(6)).\nAnswer: 20*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 p, and 1 g when four letters picked without replacement from {z: 3, g: 1, p: 3, i: 2, q: 1, x: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**6\/120 + v**4\/6 - 23*v**2\/2 - 25*v. Let r(u) be the first derivative of x(u). Find the second derivative of r(h) wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q - 1297. Let z(o) = 5*o. Calculate z(h(t)).\nAnswer: -15*t - 6485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*a - 3)*(5*a + 2*a**2 - 5*a) - 9*a**3 - 2*a + 3*a**3 + a**2 + a.\nAnswer: -10*a**3 + a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 584410 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9313 - -13379. Let y = a - 44631\/11. Which is greater: 8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-540))\/(-18*34\/1836))\/((-4)\/(-12)).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13938000 rounded to the nearest one hundred thousand?\nAnswer: 13900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -6. Suppose -x + m = -0*p - p, -2 = x + 3*p. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*a**5 + 62312*a**4 - 7*a**3 - a - 59585157 wrt a?\nAnswer: 200*a**3 + 747744*a**2 - 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 9*w**2 + 9*w - 6. Let q be o(8). Let k(x) = 25*x**3 - 24*x**3 + x**2 - x**q - 1. Let l(n) = n - n + 4*n**3 - n**2 - 2. Give -2*k(m) + l(m).\nAnswer: 2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*o**4*y + 3930*o**3*y - 32836*y - 1 wrt o.\nAnswer: 184*o**3*y + 11790*o**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 12:38 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187 and 8503?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.829421us?\nAnswer: 0.004829421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1467 and -44569.\nAnswer: -46036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -405 - -13. Let x = o + 392.00000159. What is x rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-11)*u*u)\/u**(-8\/7))\/(u*u**(-2\/25)*u**(6\/7)) assuming u is positive.\nAnswer: u**(-1511\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + a + 30. Let g = -86 + 86. What is k(g)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*i + 20 = 0, 0 = k - i - 4. Suppose -u = -3*b + 76, 7*b - 2*b + 3*u = 150. List the prime factors of (-24)\/k*b\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 - 14 - (-12 - 0). Suppose 5*l = 4*x + 206, -3*x - 48 = -l - g. Suppose 5*h = 5*d + 8 + l, 3*h = -4*d + 16. Solve -h = -j - j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 81, 170, 285, 420, 569?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -1) + 1 - (-1 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-11 + -4))*(-3)\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d**2 + 14*d - 18. Let h(s) = -4*s**2 - 15*s + 19. Let u(a) = -6*h(a) - 5*l(a). Factor u(g).\nAnswer: 4*(g - 1)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 12*h = -6195. Suppose -10*b + h = -15. What is the highest common factor of b and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/2*15\/(-20). Let h be (-52 + 0 + p)*(-2)\/(-4). Let m = h + 39. Solve m = -b - 0*b - 2*a, -12 = 3*a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -18*v**2 + 2*v. Let i(w) be the second derivative of 3*w**4\/4 - w**3\/6 + w. Let c(j) = 3*g(j) + 7*i(j). What is the units digit of c(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4510 - -4510. Solve 6*i - 3*x = q, -3*i = -4*i - x + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/2180 and -37\/15260.\nAnswer: 15260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 161.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/17 + 104*o**2\/17 - 802*o\/17 + 1204\/17.\nAnswer: -2*(o - 43)*(o - 7)*(o - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-546)\/35 - 4\/10. What is the remainder when (76\/y)\/((-1)\/4) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of p**2 + 24811*p + 209632 wrt p.\nAnswer: 2*p + 24811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60231 = 323*w + 77027 for w.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + m - 1. Let d(c) = -8*c**3 - 6*c**2 - 8*c - 58. Let r(j) = d(j) + 6*h(j). Differentiate r(w) with respect to w.\nAnswer: -24*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x. Suppose 0*f + 5*f - 25 = x. Let t = -1 + f. What is the highest common divisor of t and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64083 or 64094?\nAnswer: 64083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12344 (base 8) in base 6?\nAnswer: -40432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, d: 1, f: 2, q: 1, v: 1}. What is prob of sequence dv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1702299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10459640 - 11?\nAnswer: -10459651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 15) to base 9\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*p**4 + 8 + 30*p**4 - p**2 - 59*p**4 - p**3 as w*p**3 + c + s*p**4 + q*p**2 + f*p and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1002 is divided by 496.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117*l - 45*l + 96*l to c + p*l and give p.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3759 = -103*n + 2833. What is the greatest common divisor of 12160 and n?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 5*b - 55, 14*s + 4*b - 113 = 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**2 - 19*h - 1. Let w be q(4). Let d = w - 1. Suppose -4*j - 2*p + 115 = -141, 0 = -d*j + p + 136. Does 28 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/1280 and -21\/640.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - (-14 - -2)) + 92 + (1 - 5).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -57, -37, -3, 51, 131, 243?\n\"Answer: x**3 + x**2 + 10*x - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -1. Suppose j*l = -0*l + 30. Let m = l - -72. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28275 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925808.\nAnswer: 2, 13, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-107)\/428)\/(1\/(-90)*665\/38)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.072 * -0.002184\nAnswer: 0.000157248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41971 and 2575694.\nAnswer: 2209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -547840 * 12\nAnswer: -6574080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2860 by 3.\nAnswer: 2860\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 557337563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 8*m**2 - 11*m + 11. Let g be l(-6). Suppose -g*r + 1235 - 125 = 0. What are the prime factors of r?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2135.\nAnswer: 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5913 times 59\nAnswer: 348867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 954419346 and 2556?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.3 - -4.3. What is the nearest to 2 in y, -2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -192 + 193.23. Let m = 143.1 - 142.9. Which is smaller: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*h + 21, 23 = -3*c + h + 1. Let o(r) = r**3 + 10*r**2 + 10*r + 4. Calculate o(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204)\/153*9\/30.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44220 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 129083.3000025 - 129081.7. Let d = g + -1.6. What is d rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 + 2*s**2 + 2*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a minute?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 5, 19, -4, 39?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 + (-1)\/(-4))\/(-3*(-5)\/(-1620)) is divided by 0 + (17 - (1 + -1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34341.999985201 - 34342. Round a to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = 40*t - 39*t. Let l be (32\/t)\/(-5 + (-33)\/(-9)). What is the biggest value in l, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*w, -2*z = -2*w - 40 - 2. Suppose g = -o + 3, g + z = 5*o - 3*g. Suppose -49 = o*s - 5*s. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/16*(-824)\/1133.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from {s: 3, c: 1, i: 1, o: 1, q: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -3514?\nAnswer: -3514.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -20564.3 rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/4)\/v*v*(((v**(-6)*v)\/v*v)\/v)\/v*v assuming v is positive.\nAnswer: v**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66419193 - -41.6.\nAnswer: -66419151.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6 - 8*w**3 + w**2 + 5*w**3 + 4*w + 2*w**3 - 3*w. Calculate z(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 0.02989016, 3\/5, 0.1, -3, 2\/9?\nAnswer: 0.02989016","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10301101 - 10?\nAnswer: 10301031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -15 - 7*n - 7 + 20. Suppose 0 = -5*w + 20, q + 3*q + 68 = w. Let j(c) = -8 - 2 + 4 - 22*c. What is q*a(m) + 5*j(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14919, -29861, -44805, -59751, -74699?\nAnswer: -89649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/105)\/((-2)\/(-1)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**5\/8 - 809*o**4\/8 - 164829*o**3\/8 - 488839*o**2\/8 - 162409*o\/4 = 0.\nAnswer: -403, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 3:17 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*d - 9. Let q(m) = 3 - 2*m + 0 - 2*m. Is q(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3\/2, 0.1, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-3 + sqrt(1620) + 0)*5)**2.\nAnswer: -2700*sqrt(5) + 40725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 + -2 - (-1 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418193004.\nAnswer: 2, 3, 1201, 29017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = r - 900. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 268.378 + -268. Let r = j - 0.348. Which is the third smallest value? (a) 2\/7 (b) -6 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u = 21*u. Let v be ((-2)\/(-6))\/(10\/(-6)). Let x = -28.8 - -29. What is the nearest to x in v, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.574 - 6.5?\nAnswer: -7.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1569213)\/108*(-16)\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278 greater than 1278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*c + 2*c + 6 = 0, -3*r - 3*c + 33 = 0. Let h = r - 2. Let d(x) = 5*x - h*x**2 - x**3 + 0 - 2 - 9*x. Calculate d(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 12:51 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - p - 180979, -3*c - 11*p + 12*p = -108585. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 12 = -9*b + 10*a, 3*b + 7*a = -0*b + 10*a + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l - 10. Let b = -1 - -8. Let w be q(b). Solve -x = -w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 8*a**2 - 11*a - 6. Let v = 137 + -131. Let o be b(v). Is -7\/20 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + -5. Let j = 20 + w. Calculate the least common multiple of 9 and j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -239\/363 + -1\/121. Let w = -0.6 - -0.4. Which is the second smallest value? (a) -0.8 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3212296649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 164 + 12. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - i + 6. Determine w(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3460 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205850768?\nAnswer: 2, 491, 26203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, r: 4, o: 1, g: 2, c: 1, z: 2}. Give prob of picking 1 k and 2 r.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/8)\/(-7) + (-210)\/(-4). Let n = 14 + -12. Suppose -n = -2*m + i. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + s + (7*s + 4*s + s)*(-1 + 3 - 4) - 3 + 3 - 3*s to the form t + o*s and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-40 - 7) - 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17 + 108*d**2 - 115*d**2 - 21*d**5 + 0*d**4 + 9*d**6 - 3*d**4 + d**4 wrt d?\nAnswer: 1080*d**3 - 1260*d**2 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 993.39 + -988. Let z = -4.241 + p. What is z rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 944429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11528 by -2.\nAnswer: 5764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1404000 and 351.\nAnswer: 1404000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*t + 21*t - 6*t)*(5*t - 2*t + t + 2 - 2 + 2*t + (t + 1 - 1)*(1 + 1 + 0)).\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**4\/12 - q**3 + q**2 + 4*q. Let w be t(6). What is the units digit of -1*(w - (3 - -13))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r. Let x(k) = k - 436. Give j(x(b)).\nAnswer: b - 436","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 - 2*y**3 + 3*y**3 + (0 + 0 + 2)*(0*y**3 - y**3 + 3*y**3) - 4*y**2 + y**3 + 4*y**2)*((-5*y + 5*y - 2*y)*(1 - 7 + 2) + 5*y - 6*y - 5*y).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2711417 > 2711418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2198 by 1099.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 8 = 6*t. Suppose t*p - 64 = 68. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 y, 1 d, and 1 o when four letters picked without replacement from {d: 1, y: 1, r: 5, h: 3, o: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2643*i**3 + 4582*i**2 wrt i.\nAnswer: -15858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*49817.\nAnswer: 14945.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15319441 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1024)\/10)\/(2\/(-10)). Let j = 1135 - t. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2450 and 294.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 122\/(-18) + 48\/(-216). Which is greater: m or -59\/9?\nAnswer: -59\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q = -12*q - 124 - 84 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*o**2 + 69*o**2 - 236*o**2.\nAnswer: -37*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from qqtqqzqpp.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -37846*r - 88. What is m(0)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -325*b - 12 - 2*b**2 + 3*b**2 + 326*b + 7. Suppose o + 5*f = -1, -3*o + 4*f + 0*f = -16. Calculate i(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27412 bigger than -26518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4 + o + 0 - 3 + 1. Let x(u) = -6*u - 25. Let t be x(-5). Give p(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/5*z**4 + 0*z**2 - 1\/5 + 2\/5*z**3 - 2\/5*z = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65250 divided by 87\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8224.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.63168 millilitres in litres?\nAnswer: 0.06763168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 - 495600*i**3 + 12296816960*i**2 - 785474457600*i + 12559476654080.\nAnswer: 5*(i - 49528)**2*(i - 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 6. Let m be s(3). Let i be (-2)\/6 + 6\/9. Let n = -20 - -19. Which is the nearest to n? (a) m (b) i (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.059 in -0.14, 0.8, 3, -5\/2, -5?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.9 - -11. Is 36.4 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/5 + 2\/(-10). Let t = 1.464 + -1.664. Put 1, t, g, -5\/6 in increasing order.\nAnswer: -5\/6, t, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -603 - -30?\nAnswer: -583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -6\/13*r**2 - 1\/3*r**3 - 1\/130*r**5 - 4\/39*r**4 - 7*r + 0. What is q in d(q) = 0?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6397826 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 6*t**2 - 2*t. Let g be q(6). Suppose -59*z = -10*z - 24500. Let y = z + -503. Put g, 0, y in descending order.\nAnswer: 0, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 10) to base 3\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 6:55 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*b - 119*b + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, -5, 19\/58, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 4392.\nAnswer: 30744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 867 divided by -3\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, o: 5}. What is prob of sequence ggog?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 11, 21?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1143 + 1147. Solve 21*d - x = 19*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -15. Suppose 0*h = 2*h - 3*i - 12, -3*h + i = -11. Suppose 0 = -h*y - 15, 3*m - 4*y - 14 = 12. Solve x*z - 3 = m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2. Which is the closest to r? (a) -0.1 (b) -3\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5 - 8 + 23*n.\nAnswer: 23*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 0*n**2 - n**2)*(3167*n + 600*n + 545*n).\nAnswer: 4312*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 - -1547667?\nAnswer: 1547640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35809 is divided by 35796?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**5\/180 + 13*o**4\/36 + 3*o**3\/2 - 58*o**2. Factor u(c).\nAnswer: -(c - 27)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 1:11 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f = -78 + 309, 5*w - f + 518 - 534 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -18086433 (base 9) to base 12\nAnswer: -30654a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k - 22. What is the tens digit of q(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147905596.\nAnswer: 2, 499, 74101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a + 7942 = -9*a - 102218. Does 34 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 2. Let g(r) be the first derivative of -2*r**2 - 7*r + 4. Let v(s) = -12*s - 21. Let p(h) = -7*g(h) + 2*v(h). Determine 21*j(n) + 6*p(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8*x + 43. Let l be y(5). Suppose g = -3*n + 96, n - 15 - 17 = -l*g. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a minute in milliseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1\/2, -0.02, 3\/70, -6\/7, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -25\nAnswer: -24\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 144254651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b**2 - 2*b. Let r(q) = 20*q**2 + 7*q. Determine -17*c(p) - 6*r(p).\nAnswer: -p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171527033?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/15)\/(-1))\/(24\/15).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-1944)*510*-3.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgp when three letters picked without replacement from {p: 3, v: 4, g: 10, f: 2}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 4:39 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -3, -0.8 in increasing order.\nAnswer: -3, -0.8, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -22*w**3\/3 - 17*w**2 - 6. Find the second derivative of j(g) wrt g.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109808, -110689, -111570, -112451, -113332, -114213?\nAnswer: -115094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*f - 57*f - 229 - 55 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -2*n. Let i be (12 + -10)\/(2\/n). Let p(x) = x**3 - 5*x**2 - 6*x. Let j be p(6). Solve -g - 4*g + i = j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 5*z**2 - 3*z + 4. Determine o(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -5*q**3\/6 + 29*q. Let n(d) = -15*d**2. Calculate n(g(t)).\nAnswer: -375*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a - 0*a + 61761. Let d = a - 211601\/24. What is the common denominator of d and (0 - 49\/9)\/((-212)\/(-159))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, k: 9, m: 4}. Give prob of sequence kmik.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 451*h - 14956. What is u(33)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 3*k. Let s be n(2). Solve 0 = 2*u + s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6974995 to the nearest integer?\nAnswer: 2641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 851*i + 875*i - 1.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f + 2. Let l(t) = -6*t + 4. Let d(r) = -4*l(r) + 7*s(r). Let q = -5 + 12. Let h be d(q). What is the highest common divisor of 152 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/5 + 10104*q + 706692\/5.\nAnswer: 3*(q + 14)*(q + 16826)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*o - 3, r + 2 = 3*r + 5*o. Let a(q) be the second derivative of q**4\/12 + 5*q**3\/6 - 13*q**2\/2 + 689*q. What is a(r)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {x: 3, k: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 21 = 3*y, -9*d - 2*y = 53 - 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7e490 (base 16) to base 12.\nAnswer: -20b414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p + 20*p - 12 = -16*m, -5*p - 17 = 3*m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 218067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 1453 + 2951 = 0. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 364740520*l*t**2 - 42*l*t + 8*l - 632*t + 22 wrt t.\nAnswer: 729481040*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgggyyyvggy. Give prob of sequence yyy.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -11. Suppose -2473*b = -2696*b. Solve b = k - l*k + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/266*3\/(-9)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 10004?\nAnswer: -10014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -5*i**4\/12 - 2*i**2. Let z be t(-5). Suppose -2*j - 2*c - z = -4*j, -3 = c. Is 22 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 12. Let m = v - 6. Let w be m\/(0 - (-20)\/(-12)). Which is the second biggest value? (a) 0 (b) 1\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*3\/((-540)\/8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -0.35\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210020 (base 3) in base 6?\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 4*l**2 + 3. Let d = 140534 - 140341. What is the remainder when d is divided by p(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uluuululuuuuuuu. What is prob of picking 2 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008792192 to 7 dps.\nAnswer: 0.0000879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or 6\/31?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -224520291 to the nearest 100000.\nAnswer: -224500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 10.98?\nAnswer: -0.4392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 553769, 1107523, 1661277, 2215031, 2768785?\n\"Answer: 553754*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/4888 and -7\/1872.\nAnswer: 87984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25931, 25927, 25923, 25919?\nAnswer: 25915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6859 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1278, 0, 3 in descending order.\nAnswer: 3, 0, -1278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.393 * 7.\nAnswer: 30.751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12022208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 12300*v - 339672950.\nAnswer: 2*(v - 16465)*(v + 10315)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 + 2 + 662*v**2 - 656*v**2 to the form q*v**2 + u*v + s and give s.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2918726610 to the nearest one million.\nAnswer: 2919000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3041622 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71565674 to the power of 1\/2, to the nearest integer?\nAnswer: 8460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539256?\nAnswer: 2, 3, 22469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**8\/1344 + o**6\/480 - 14*o**2. What is p in v(p) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b**2 + 6*b + 4. Let l be r(-7). Let o = -111 + l. List the prime factors of o.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, 0.7, 3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -1142, -3762, -8772, -16946, -29058, -45882, -68192?\nAnswer: -96762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*90\/(-12)*16\/6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 10:54 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**5\/25 - 3*r**4\/20 - r**3\/15 + 3*r**2\/10 - 72. What is d in s(d) = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = -12*v - 9190. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 12*m**3 + 121*m**2 + 10*m + 6. What is s(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 54 - (-6 + -2)\/(-4). Suppose 0 = -0*d - 4*d + z. Solve -5*g - 3 = -d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*k**3 - 36*k**2 - 82*k + 60 = 0. What is k?\nAnswer: -2, 3\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - 122) + 33 + (1 - -15).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*q + 24 = -61*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -8 + 30. Suppose -39 = -5*r + l. 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 q = 25756 + -25756.0000010597. Round q to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 2*h - 29 + 253*h**2 - 138 with respect to h.\nAnswer: 506*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 53 - 19. Suppose -3 = 5*d - y. Suppose s + 1 = d*n, 7*n + 8 = 5*s + 5*n. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1681*g**3 - 1300*g**3 + 2*g**2 - 2*g**2.\nAnswer: 381*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -2*s**5\/15 + s**4\/2 - 2*s**3\/3 + s**2\/3 + 4. Determine m, given that y(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 - 2 + 2*l**3 - 3960879465*l**2 + 3960879467*l**2 + (-2*l + 0 + 0)*(2*l**2 + 2*l - 2*l) as d*l**3 + v*l + n + a*l**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3799, -7599, -11399, -15199?\n\"Answer: -3800*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (536\/40803)\/((-164)\/287).\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k**3 + 2*k**2 + 4*k - 9. Let r(w) = 7*w**3 - 2*w**2 - 2*w + 7. What is -3*r(t) - 2*y(t)?\nAnswer: -9*t**3 + 2*t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*r + 7 = 0, -5*k - r + 8 - 1 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3992894900 rounded to the nearest 1000000?\nAnswer: 3993000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33680400 and 31089600?\nAnswer: 404164800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.98 * 0.2.\nAnswer: -0.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2*s + 3*s)*(-4 - 3 - 1)*(-2 + 1 + 0)*(0 - 2 + 3)*(-43 + 39 + 36)*(-3 + 1 + 4)*(2*s + 0*s - 3*s).\nAnswer: -1024*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.29 and 0.5.\nAnswer: 1.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1231 + -1163. What is the second smallest value in p, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 170\/3*u**3 - 5*u**2 - 98 + 0*u. Find the second derivative of o(t) wrt t.\nAnswer: 340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, -23, -10, -1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50654190 by -5.\nAnswer: -10130838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5802, -5846, -5888, -5922, -5942?\n\"Answer: h**3 - 5*h**2 - 36*h - 5762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/25)\/(((k*k\/((k*k**12\/k)\/k))\/k*k*k*k)\/k))**3 assuming k is positive.\nAnswer: k**(606\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(6\/(-18)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, z: 5, s: 3, v: 5, t: 1, q: 1}. Give prob of sequence qzt.\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 31*a + 293. Determine l(-20).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r + 5. Let v be f(7). Let j be 3 + -5 + 46 + 1. Let x = j + v. Calculate the least common multiple of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*o**3*z**3 + 3*o**3*z - 27786*o**2*z**2 + 6594*o*z**5 wrt z.\nAnswer: 24*o**3 + 395640*o*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight fifteenths of a minute?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 2*q**3\/3 + q**2 - 3*q - 2. Let o = 5 - 3. Let t be z(o). What is the highest common factor of 99 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*p = -61*p - 36. Suppose -2*f = -8, -2 = 5*o - 4*f + 24. Sort p, o, -1 in increasing order.\nAnswer: o, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((112\/(-35))\/8 - -3*512\/4440)\/(-1)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 15*f**2 + 195*f + 746. Calculate o(-8).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*g = 0, 3*q - 11 - 3 = -4*g. Let r be (-1)\/q*0 + 0. Solve -2*m - 3*m + 15 = r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**1\/z))\/z**(-2)*(z**(-2)*z*z*z)\/z*z\/z**(-2) assuming z is positive.\nAnswer: z**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 921685*j**5 + 45*j**2 + 165*j + 1?\nAnswer: 55301100*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 610099.54 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84*c**4*u + 75172*c**3*u + 4198*c*u + c + 7*u - 2 wrt c?\nAnswer: 1008*c**2*u + 451032*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 0 = d + 1, -t + d + 1 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -178 - -950. Let r = v + -769. Which is the nearest to -2? (a) 2 (b) -1 (c) 0.2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -2 + -6 - 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*j + 8, 5*c + 2*j - 10 = -j. Factor -6*b**4 - b**3 + 16*b**4 + c*b - b - 11*b**4 + b**2.\nAnswer: -b*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1208 is divided by 121.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3164 - 993. List the prime factors of q.\nAnswer: 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3021335.7527 - 0.2.\nAnswer: 3021335.5527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -813 - -475. Let x = g + 66. Let d = 415 + x. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47345 + 3*u + 47351 + 47342 - 142041 + 0*u.\nAnswer: 3*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**3 + 10*m + 18 - 1 - 18*m**2 - 3. List the prime factors of d(-6).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + 0 + -4 - (-12 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26382*j**2*v + 1423*j**2 - 3*j*v**2 - 5*v**2 + 282 with respect to v.\nAnswer: 26382*j**2 - 6*j*v - 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12357\/8 + -1545. Let v = -85 - -1447\/17. Let u be (2\/14)\/(3 - 81\/21). Sort v, h, u, 1 in descending order.\nAnswer: 1, v, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -32*t**3 - 4*t**2 - 4. Let g(d) = 32*d**3 + 3*d**2 + 3. Calculate 4*g(z) + 3*w(z).\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i + 2. Let q(z) = 29*z + 20. Let d(j) = 10*j + 7. Let h(p) = 17*d(p) - 6*q(p). Calculate -5*h(t) - 3*u(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9111.607ml in litres?\nAnswer: 9.111607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*q**3 - 356*d*q**2 - 33*d - 2*q**2 with respect to q.\nAnswer: 3*d*q**2 - 712*d*q - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -35. Let v be (-3)\/(-2) - 5\/(-2). Suppose 4 = -v*a, -5*w = 2*a - 0*a - 198. What is the remainder when w is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/((-28)\/126*-9)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzstsmttctcrscsstcct. What is prob of picking 1 z, 1 t, and 1 s?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2. Suppose 1 = 3*b - 8. Let f(z) = -2*z - b*z + 4*z. Calculate f(s(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20082 divided by 6.\nAnswer: -3347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (-46 - -64) - 55.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - 631651?\nAnswer: -632000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/15993 and -5\/1496.\nAnswer: 23925528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26355 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/64 and 77\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1. Let z(a) = -2*a**2 - 2*a + 4. Let n(j) = 4*j**3 - j**2 + 2*j - 2. Let u be n(1). What is u*t(p) + z(p)?\nAnswer: -2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/60 and 33\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 102233842 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*f + 8, f - 8 = -3*a + 2*f. Suppose 0*h = a*h - 50. Calculate the remainder when ((-1)\/(-1) - -81)\/(1640\/2460) is divided by h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 95, 5 in descending order.\nAnswer: 95, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 312149596 - 139816212. Let t = m - 172333408.0000011. Let q = -24 - t. Round q to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111001010100001 (base 2) to base 8\nAnswer: 71241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 + (-13)\/(-5). Let g = 290 - 289. What is the highest common factor of u and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3148 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5642717\/2036400 + 4\/42425. Find the common denominator of (546\/(-72))\/((1\/4)\/(3\/72)) and s.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -950*g + 9134. Let q be u(9). Solve 594*m = q*m + 30 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, m: 4}. What is prob of picking 2 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -2*k**3\/57 + 6*k**2\/19 + 704*k\/19 + 1575. Factor o(n).\nAnswer: -2*(n - 22)*(n + 16)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2289926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 304 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -274355676 by 6.\nAnswer: -45725946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-4)*s*s*s)\/(s**(-1\/6)\/s))\/(s**2*s**2) assuming s is positive.\nAnswer: s**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132790579 to the nearest integer?\nAnswer: 11523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021644 rounded to five dps?\nAnswer: 0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63893 - 48922 = 1635*g for g.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 1385677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1194 and 1791?\nAnswer: 3582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2749*-577\nAnswer: -1586173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5304 and 20748?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 19470800*u - 18955602632000.\nAnswer: -5*(u - 1947080)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffgffff. What is prob of sequence gf?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -167*q**2 - 16*q + 64. Let f(u) = 55*u**2 + 6*u - 24. Let r(s) = 8*f(s) + 3*m(s). Let k(j) = -4 + 4 - 3*j. Give r(k(n)).\nAnswer: -549*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29042*o*p**3 + 3*o*p**2 - 121*o*p - 2*o - 634*p wrt p.\nAnswer: -174252*o*p + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32477 and 119543.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -2809*y**4\/30 + 106*y**3\/15 - y**2\/5 - y + 58. Factor d(r).\nAnswer: -2*(53*r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -2*w**3\/7 - 564*w**2\/7 - 53016*w\/7 + 1028. Suppose n(m) = 0. What is m?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from {q: 1, k: 3, r: 1, e: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36107?\nAnswer: 36107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/4 - (-70)\/8. Does 2 divide ((-2)\/9 - 25\/j) + 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-12)*(-2)\/(20\/(-3)). Sort k, 2, 3 in decreasing order.\nAnswer: 3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -200 + 205. Suppose -1 - 3 = -4*k. Let g = r - k. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/34*(-8 + 6).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1240450 and 0.9.\nAnswer: -1240449.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 94 + 240 = -350*z - 144 - 1284, 3*c + 7 = -5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1653)\/228)\/((-4)\/(-120))*(-12)\/15 is divided by (-178)\/(-4) - (-2)\/(-4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2456363 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7 * 6.39.\nAnswer: -10.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l + 3*l + 0*l)*(l + 0*l + 2*l) - 6 + 28*l**2 - 3 + 13 - 4 to the form g*l + i + y*l**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 302734 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(33\/39 - 18\/(-117)). Suppose u*f + 4*f = 5*f. Let g be (-16)\/154 - 2\/(-7). Put 0.3, 4, f, g in decreasing order.\nAnswer: 4, 0.3, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 22*f + 88. Let m(k) = 6*k - 4. Let b(w) = 17*w - 11. Calculate f*b(i) - 11*m(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s = 15*s - 37*s - 3*x + 33, 7*x = -5*s + 80 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 1 + -1 - 35. Let d = w + 35. Let u be d - -1 - (-3 + 6). Let k(a) = a**3 + 6*a**2 + 4*a + 2. Determine k(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 7 + 5. What is the second biggest value in -0.1, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 5 + -4 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -27?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/57 (b) 2 (c) -0.15 (d) 6 (e) -4 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 160 - 213. Is -53 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 + 64 + 196*m)*(1 - 2*m**2 - 1) - m**3 + 9*m**3 + 5*m**3.\nAnswer: -379*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*s + 247, -4*s + 6*z = 2*z + 204. Let w = -17 - s. Let g = w + -27. Calculate the highest common divisor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 103*n**4 - 148*n**4 + 38*n**4 - 14 + 3*n**2 in the form v*n**3 + q*n**4 + d*n + y*n**2 + t and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8694\/(-184437))\/(77\/(-33)).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppb when three letters picked without replacement from ttdpdpbott.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 336874160 to the nearest 10000.\nAnswer: 336870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-12)*(-16 + 19). Suppose -3*g + m = -625, 3*g + n*m - 645 = -m. List the prime factors of g.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 103 - 72307022?\nAnswer: -72306717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378089 is divided by 94465.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 8. Let s be u(-13). Suppose -173 = s*o - 1803. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c - 3. Let o(x) = 3*x**2 + 3*x - 219. Let v be o(8). Give q(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -214 + 107*f - 17*f + 40*f wrt f?\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + 0 + sqrt(5) + 5 - (-4 + (-5*-3*1*sqrt(5))**2)) + -2.\nAnswer: -1113 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*u - 414*u + 80*u + 19*u as j + q*u and give q.\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001376699 rounded to six decimal places?\nAnswer: -0.000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -254 - -138925.71?\nAnswer: 138671.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -314, -598, -868, -1118, -1342, -1534?\nAnswer: -1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 361 + -696. Let p = 671 - 133. Let u = p + z. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3 and -0.14.\nAnswer: 0.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**4\/12 + 26*x**2 - x. Let p(c) = -7*c. What is y(p(q))?\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12451 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 382*w**5\/5 - w**4\/12 - 7*w. Is g(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/112*7*(-260 + -26 + 42).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + 0 + sqrt(112) + -3 + sqrt(112) - sqrt(112)) + -2 + sqrt(112) + -1 - (-4 + 2 + sqrt(112) + 2*sqrt(112)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2 - 6*m + 11*m - 4*m + 8. Calculate the lowest common multiple of p(-6) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 + -11 - (-14 + 13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2 + v**3 - 10*v**3.\nAnswer: -9*v**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 22 = 3*j, -j + p - 1 = -10. Solve j*z + 5*d = 26, -2*d - 8 = -3*z - 0*d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/12*(-6584)\/(-170361).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + (sqrt(176) + -1)**2 - sqrt(176) - 1*(sqrt(44) - (sqrt(44) + -2)).\nAnswer: -8*sqrt(11) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 - 10*s**3 + 2*s**3)*(-11 + 16 + 14)*(2*s - s - 2*s).\nAnswer: 152*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 10, 2, -1\/19, 1.6, 2\/13, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 - 312*p + 2897. What is h(10)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 405 = -z. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/2*15\/(-6). What is the greatest common divisor of 10 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s + 10 - 23*s**3 - 194*s**4 + 31*s**3 + 27*s**3 + 196*s**4 - 7 to the form c*s**2 + r*s + l + b*s**3 + u*s**4 and give b.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-4)*46\/3105*45*11?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 212553 + 2?\nAnswer: 212555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10135 - -182333\/18. Find the common denominator of g and ((-2)\/(-48))\/((-33)\/(-2134)*-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47.5 + 47.5. Let a = 0.26 - 0.66. What is the closest to -9 in 4, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.1 (b) 0.5 (c) 1\/12 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10934013, -21868022, -32802031, -43736040?\n\"Answer: -10934009*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230112525 (base 6) to base 9.\nAnswer: -7824268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 9:46 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80562?\nAnswer: 2, 3, 29, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, 3\/5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 743064 and 47688?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5568 or -5576?\nAnswer: -5568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 + 4*y + 6. Let b(i) = 5*i**2 + 7*i + 11. Suppose 3*n - 4*n = -4. Suppose -2*k = -n*d + 54, -4*k - 58 = -3*d + k. Give d*t(c) - 6*b(c).\nAnswer: 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = r - 2, 3*r - l + 4 = 0. Suppose -h + 1 = -r*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*j, 4*j + 3 = 3*j + 2*q. Let w be -10 + 5\/(-5) + j. Is (-2)\/2 + w + 63 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -18*y**3 + y**2 + y. Let n = -4 - -3. Let w be o(n). What is the units digit of 562\/w - 4\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13891? (a) -1\/3 (b) 26 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35.61 in -16, 3\/4, -0.8, -0.1, -2, -5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 13) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 6 + 46. Is 12 a factor of (12\/j)\/(3\/278)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z - 5. Let t be y(-3). Suppose t*f + 20 = 14*f. Let q = 5 - 0. Solve 2*o = f*l - 15, 3*l = -q*o + 62 - 22 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 20*o**2 + o + 5. Calculate the remainder when 121 is divided by l(20).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135\/(-54)*(-2)\/10*-18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -471.978 - 1.022. Let x = 472.614 + v. Round x to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.1, 0.01, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*k = -57*k - 3598. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38065 + -38071. Let z(x) = -x**3 - 7*x**2 - 5*x + 11. Give z(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(339041*a - 672454*a + 355155*a)*(2*a**3 - 2*a**3 - a**3) as u*a**2 + t*a**3 + g*a + q + f*a**4 and give f.\nAnswer: 43484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 284, 285, 286, 287, 288, 289?\n\"Answer: m + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times -1.8?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -20. Let k be 4 + (-1235)\/140 + m\/8. Which is smaller: -6 or k?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/180)\/((-18)\/15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104.2 + -672.8. Let p = -786 - l. Which is bigger: p or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1603162.8 to the nearest 1000.\nAnswer: -1603000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -25*p + 42. Calculate f(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97053928 to the power of 1\/3, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.08 (b) 2\/11 (c) 38 (d) -62\/57 (e) -2\/9 (f) -1 (g) -1\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 16 = -2*j, 3*t - 8 = -2*j - 2*j. Let r(p) = p**3 - 8*p**2 + p + 2. Let u be r(8). List the prime factors of 4\/u - t\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-7) - 0) + (-32)\/(-7).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**0\/v))**(-8\/9)\/(v**(-6)\/(v*v**1*v*v)) assuming v is positive.\nAnswer: v**(74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8 (base 12) to base 9.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25633672 rounded to the nearest one thousand?\nAnswer: 25634000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 51. Find the common denominator of 6 - 15452\/2968 - g\/(-14) and 113\/20.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 + 3*i**2 + 11*i - 5. Let v(d) = -d**3 + 2*d**2 + 6*d - 3. Let g(o) = 5*v(o) - 2*z(o). Suppose 2*j - 12 = -2. Determine g(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 12:29 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 510*o**2 + 125*o. Let n(s) = 41*s**2 + 10*s. Let g(k) = -4*m(k) + 50*n(k). Let c(y) = 324*y. Determine c(g(x)).\nAnswer: 3240*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 18. Let h = 12 + 7. Let b be w(h). Let l = b - -42. Solve g - 3*g - 4*f - 8 = 0, g - l*f - 17 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*j - 4*c - 148 = 0, 5*c - 355 = -5*j. What is the highest common factor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642446489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.1 in -3\/14, -97, -1?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.11, -5, -1, 0, -43, 10, -15?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 0*h**2 + 0*h**2 + (-2*h**2 + 3*h**2 + h**2)*(-h + 0*h - h) - 3*h**3 + h**3 + 4*h**3 + 15*h**3 - 4968*h**2 - 120*h**3 + 4969*h**2)*(-2 + 1 - 2).\nAnswer: 318*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.4? (a) 2\/11 (b) -0.7 (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + (12\/4 - 2). Suppose -p + 97 + 230 = -5*v, -5*v = d. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.149 - 0.089. Let k = 0.07921 - n. Round k to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 21632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 4. Suppose 0 = 2*g - u*g - 208. Let b = -35 - g. Calculate the remainder when b is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -355 - -357.87. Let y = o - -0.13. Which is smaller: y or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 7*d**2 + 50*d - 93. Let m be v(-12). Solve -14*n + m = -29 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 3300976855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 - 1. Let d be z(-1). Differentiate d*o**4 + 9*o + 2 - 9*o wrt o.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303293 less than -78911.8?\nAnswer: -2382204.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-680)*(-289)\/(-26741)*13.\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + 14 + -5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 447, -604, -2367, -4854, -8077, -12048, -16779, -22282?\n\"Answer: -2*f**3 - 344*f**2 - 5*f + 798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -13*y**2 + 4*y + 1. Let w be m(3). Let q(i) = -179*i + 437. Let f be q(3). Let r = f - w. What is the highest common factor of 10 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/((-7830)\/2900) - 280\/(-36).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + d**2 + (-2 + 2 - 2*d)*(4*d + d - 2*d))*(d - d - 3*d**2).\nAnswer: 15*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 - 1)*336\/(-12). Calculate the greatest common divisor of 32 and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/213 (b) -4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9820.9cm to micrometers.\nAnswer: 98209000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1395 - -1395.4. Let x = 1.24 - 0.04. Which is the closest to 4? (a) 0.2 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322135 divided by 11?\nAnswer: 29285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -23*s**7\/70 + s**6\/60 - 1127*s**3\/6 + 439*s**2. What is the first derivative of k(u) wrt u?\nAnswer: -276*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -1\/16*w**4 - 6*w + 1\/4*w**3 + 0 - 3\/8*w**2. Factor z(t).\nAnswer: -3*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2777?\nAnswer: 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*x + 55*x + 37*x - 36*x - 2.\nAnswer: 78*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -876*o - 3. Let w(x) = 28*x + 736. Let h(t) = 9*t + 230. Let v(j) = -16*h(j) + 5*w(j). Determine c(v(f)).\nAnswer: 3504*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010111001 + 10011111101?\nAnswer: -10110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.430492ng to grams.\nAnswer: 0.000000009430492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3352054670 to the nearest one hundred thousand.\nAnswer: 3352100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45907903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**5\/20 - 5*c**4\/12 - c**3\/6 - 3*c**2\/2 + 3*c. Let b be v(-5). Solve 2*x - 2\/3*x**b + 0 = 0 for x.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + -41. Let x = 64 + j. What is the highest common divisor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3363.189 centimeters in nanometers?\nAnswer: 33631890000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 + -107. Let q be 56\/90 - 2\/5. Factor -2\/9*k**2 - 4\/9*k + f + q*k**3.\nAnswer: 2*k*(k - 2)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/(-675)*-10)\/(-2))\/(186\/279)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ninety-three quarters of a decade?\nAnswer: 2790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 584a9 (base 12) to base 4.\nAnswer: 130313001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h + 2 - 2)*(-4*h**2 - 2*h**2 - 3*h**2)*(2905 - 2905 - 173*h**2).\nAnswer: 9342*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 525, 858, 1169, 1446, 1677?\n\"Answer: -2*t**3 + t**2 + 344*t + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 1. Suppose 5*z - 2 - 2 = u*w, -5*z = -10. Is (-3)\/(-1) + -1 + w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n + 44 = 0. What is the remainder when 109 is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000180743 to 6 decimal places.\nAnswer: 0.000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -26*y. Let i(o) = -o**2 + 2. Let g(z) = 106 - 4*z**2 - 91 - 2*z**2. Let x(c) = 4*g(c) - 30*i(c). Give x(p(a)).\nAnswer: 4056*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1064*v + 1052*v - 72 = 2092*v. Factor -2*r**4 + 2\/7*r**5 + 0 + 12\/7*r**v + 0*r**2 + 0*r.\nAnswer: 2*r**3*(r - 6)*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.993 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 267, 262, 245, 210, 151?\n\"Answer: -k**3 + 2*k + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-34)\/(-6) - 2\/(-6). Suppose -4*t = -b - 233, -b - 48 = 5*t - 328. Let k(z) = 18*z - t*z + 20*z + 20*z. What is k(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.043449 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 36.5. What is the third smallest value in 2, -2, 1\/5, u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -24051?\nAnswer: 2404b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 - -4. Let g = 2284 + -2284.5. Which is the biggest value? (a) -2 (b) k (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - 2. Let v be (2\/3)\/((-3)\/l). Let m be 4\/10 - 132\/(-120). Is m greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155968637.\nAnswer: 11, 1288997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + sqrt(130)\/sqrt(10) + 1 + 5.\nAnswer: sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28477.\nAnswer: 28477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13\/55 + -3\/55. Put -6, -1\/3, 1\/5, x in descending order.\nAnswer: 1\/5, x, -1\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 4*i**2 + 4*i + 3. Suppose -4*g - 4 = -5*y, -9*y + 5*g - 16 = -8*y. Give x(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 0)*(-11949*m - m**3 + 3 + 0*m**3 + 9217*m - 16) in the form g*m + o + k*m**3 + r*m**2 and give g.\nAnswer: -5464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2265 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i**2 + 3. Let o(b) = -1375*b**2 + b + 33. Calculate o(y) - 11*s(y).\nAnswer: -1441*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*f - 280 = 67*f + 84*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -9*j**5\/20 + j**4\/6 - j**3\/3 + j**2 + 1243*j. Let k(i) = -28*i**3 + 7*i**2 - 7*i + 7. What is 2*k(q) - 7*v(q)?\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1\/2 (c) -6775 (d) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-2 + 3 - (-4 + -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -12*b + 303. Let k be q(25). Suppose 4*o - j - 64569 = 0, 80690 = -o + 6*o + k*j. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 2 (c) 0.4 (d) 412 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/51, -5, 3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c - 24?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512231192.\nAnswer: 2, 11, 47, 271, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/24 and -11\/3840?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -515 - 10?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 16*t**2 + 10*t - 141. Let o be x(16). Solve -9 - 10 = -o*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*m - 411932 = -25*m - 76402. What is the highest common factor of m and 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36271025?\nAnswer: 5, 7, 29, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 69, 108, 163, 240?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 378385 and 35.\nAnswer: 378385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.2 - -7.6. Let w = c + -0.4. Let g = -55 + 54.5. What is the smallest value in w, 0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-30)*-4*5*-1\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28997378.\nAnswer: 2, 83, 307, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6919 - 7568. Which is smaller: -648 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 75. Let j = c - 2. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13784831 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: Calculate prob of picking 2 g when two letters picked without replacement from iiggpqd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 14. Calculate j(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) -0.02 (c) -2.74809\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 514950 divided by 34330?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 1. Let r(y) = -y**2 - y. Suppose -1 = -2*w - 3. Let b(k) = w*r(k) + 2*a(k). Solve b(c) = 0 for c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 12:32 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(400\/(-260))*((-5 - (2 - 3)) + -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6583*-61.6\nAnswer: -405512.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1618 - -1670.1618. Let v = n + -1670.1239. Round v to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830182 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 8*o + 237. Give t(-28).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-240)\/(-64) + 1\/4. Suppose -27*r = k*y - 29*r - 168, 0 = 2*y - 3*r - 80. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/182540 and 67\/120?\nAnswer: 1095240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4089\/13? (a) 3 (b) -3 (c) 1 (d) -2\/7 (e) 3.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 540280.\nAnswer: 1080560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3437.\nAnswer: 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13, -2\/3, 2, 5, 2\/5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -v + 20, 8 = 5*v - 3*v - 2*f. Suppose 2*s + v*s = 0. Solve s = 3*b - 1 - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 21 = -13, 0 = 4*f - 5*j - 32 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1014\/11 < -93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(2) + 3 + sqrt(50) + sqrt(2)).\nAnswer: 20 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37713 + -37749. Let v be (-2)\/(4 - (0 - -2)). Put -5, v, d in decreasing order.\nAnswer: v, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k + 10. Calculate b(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5\/2 - 7299*u**4 + 65787*u**3 - 124326*u**2 - 131571*u\/2 + 131625 = 0. Calculate u.\nAnswer: -4875, -1, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 6*f - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 22\/12 - (-2)\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33 + 0)\/((-6)\/8). Let x(y) = -y**2 - 9*y + 12. Let b be x(-10). Suppose -6 = -b*d + 2. Calculate the highest common factor of m and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (3 - 2))*0\/4. Solve 4*l + 12 = -o*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1314.886 + 1315. Let x = 0.080435 + 0.0335492. Let i = x - y. Round i to six decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -107, -5, -9, -3, -120?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/4 in -3, 8, -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190240596 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 48234628*o**2 + 48234631*o**2 + 12.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*g = 4*g + 235. Let v be 1 - (4\/2 - 30). Suppose -5*m = 20, 6*o + 4*m - v = o. Solve -2*t + o = g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 4 - 4 - 2 - 2*b + 2 + (0 - 1 - 1)*(-5 + 5 + 2*b) + b - b + 3*b + b + 0*b - 2*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2435, -9738, -21909, -38948, -60855, -87630, -119273?\n\"Answer: -2434*y**2 - y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 - -362?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 + 11)*(-5*x - x - 7*x) - 4*x + 5*x + x - 5*x + 3*x + 4*x + (0 + 0 - 1)*(-x + 2*x + 0*x) + 5*x - 4*x + 0*x + 2*x - 3*x + 2*x.\nAnswer: -268*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-185)\/37 + -3 + 132. Solve -29*l - 2*l = -w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/2 of a millimeter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o - 15. Let f be a(10). Suppose f*d + p - 106 = 0, 5*p + 27 = -4*d + 95. Suppose -d*q - 196000 = -29*q. What is q rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 3*p + 60, 6715*z - 6712*z + 4*p + 38 = 0 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 781 + -776. Solve 4*k + 6 = -4*x + m*k, 0 = -4*k + 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91259418*z**4 + 10*z + 4477466 wrt z.\nAnswer: 1095113016*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9856*f**2 + 20501 with respect to f.\nAnswer: 19712*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 86.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssgj when four letters picked without replacement from {g: 1, s: 4, j: 5}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l**2. Let i(c) = 626378*c**2. What is i(d(h))?\nAnswer: 40088192*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 6:03 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f - 132. Determine p(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3707?\nAnswer: 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(3520))\/((sqrt(22)*-4)\/sqrt(2)))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 470 + 623. What are the prime factors of a?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 1, -5, 3, 2.\nAnswer: -48, -5, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - c**2 - 7*c + 21. Suppose 11*h - 3 = 10*h. Calculate the least common multiple of j(h) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -541474, -1082955, -1624436, -2165917?\n\"Answer: -541481*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 12*c**2 + 110*c - 5. What is the units digit of z(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62893289861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-4 - -6) - 0. Which is smaller: p or 1\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from ffbpbubpjbpfup?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2*j**3 - 9 + 4*j**3 + 4.\nAnswer: 2*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 2, -29 in descending order.\nAnswer: 5, 2, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*l = 51*l - 12*l + 2424 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b - 5491 = 24889. Is b a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -125*m**5 + 3525*m**4 - 29410*m**3 + 104618*m**2 - 162129*m + 83521 = 0.\nAnswer: 1, 17\/5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 + 5 + s - 4 - 6 to y*s**2 + o*s + k + j*s**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 15. Let l = -5 - k. Let i = l - 1.2. What is the nearest to i in -1\/3, -0.4, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 576 by 5960.\nAnswer: 72\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 - 66*a**2 - 134*a + 4. What is the remainder when 39 is divided by t(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2408700825 to the power of 1\/3, to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuauaaaaaaaaauuaau. Give prob of picking 1 u and 3 a.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 865 - 689. Let j be (0 - -1755) + (-3 - -2). Suppose -6*v - z = -j. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43829*s = -43820*s - 3456. Solve 461 - s = -11*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 1 - 5. Suppose -w + d = -0*w. Suppose -o + 4*k + k = -23, -2 = -w*o - k. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, t: 7}. Give prob of picking 2 v.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -296, -2309, -7692, -18107, -35216, -60681, -96164, -143327?\nAnswer: -203832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3 = -2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8 + (8 - 7) - (-4643794)\/(-53224).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from ngwbnwpbppbwnq.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 87.6\nAnswer: 262.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -3\/2, 2.54, -3, -2\/184579?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**2 + y + 1. What is j(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 0 - 5 + y - 7.\nAnswer: y - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19869030 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, 61, -3, -3\/16?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -8 - (-14)\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 0*p**2 + 3*p**2)*(6*p**2 - 3*p**2 + p**2) + (1 + 0 + 0)*(-p**4 + 2*p**2 - 2*p**2) + 260*p**4 + 2364*p**2 - 2364*p**2.\nAnswer: 267*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -37*g**3 - 22*g + 22. Let s(d) = 15*d**2. Calculate b(s(l)).\nAnswer: -3330*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 2*c**5\/25 + c**4\/5 + 2*c**3\/15 - 9. Factor n(h).\nAnswer: 2*h**2*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u + 16. Let h be c(-12). Suppose w = -9 + h. What is the remainder when w is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z + 15. Let p(v) = 5*v + 20. Let n(d) = 4*b(d) - 3*p(d). Let j(k) = -167*k**2. What is j(n(q))?\nAnswer: -167*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: a67 (base 13) to base 11\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136720*t**2 + 68367*t**2 - 3 + 68359*t**2 + 0.\nAnswer: 6*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1237 + 620 + 41*u**3 - 39*u**3 + 617.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 117*m + 266. Calculate the remainder when j(3) is divided by 119.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72039066 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306681 and 2951043.\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j - 4. Let s(w) = 2*w + 2. Let f(x) = -h(x) - s(x). Determine f(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2674 or 34766\/13?\nAnswer: 2674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 75363603?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/150558 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s + 15. What is u(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 445524 and 7588?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147 and 1274.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 38. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.08 and -4587.9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(29 - 29 + 56*i)*(-i + 2 - 2) to the form t*i**2 + u*i + l and give t.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/504? (a) -2\/47 (b) 1\/6 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3494565 and 41934780?\nAnswer: 41934780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7739.\nAnswer: 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -273*n**4 - 152055*n**3 - 1200042*n**2 - 2371584*n + 52704 = 0.\nAnswer: -549, -4, 2\/91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 4 = -2*p, 5488*g + 5*p - 23 = 5492*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 342.2.\nAnswer: 34.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbhhbhbhbbhh. What is prob of picking 4 b?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v**1*v)\/v*v))**13)**(-11\/2)\/((v**(2\/5)\/v)\/((v**(-3)*v)\/v))**(7\/2) assuming v is positive.\nAnswer: v**(631\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**5\/20 - 7*k**4\/12 + 7*k**3\/3 + 2*k**2 - 34. Let m be o(7). What is the greatest common factor of 63 and m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 113093*r**2 - 362*r**4 + 3*r**5 - 211*r**4 - 214841 + 1536003*r - 535300 - 744554*r**2 - 190689*r**2 + 36858*r**3 = 0. What is r?\nAnswer: 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 5*z. Let u be q(6). Let y be (-58341)\/u*(-34)\/(-20). Let c = -16525 + y. What is the common denominator of c and 53\/7?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -23*d. Let v(z) be the third derivative of z**5\/20 - z**4\/4 - 4*z**2. Determine v(s(g)).\nAnswer: 1587*g**2 + 138*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 547 = -575 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, a: 1, t: 6, e: 3, v: 1, o: 1}. Give prob of picking 2 u and 1 a.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 10*j**2 - j - 10. Let n be h(-10). Suppose 0 = 3*i + 5*x + 9, 5 = 4*i + x - n*x. Let o be (-1)\/i + (-2)\/(-4). Solve 5*w + 5 = -o*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 1013*y**3 + 1029*y**3 + 0*y.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(5\/8)*1. Suppose 4*q = q - 192. What is the units digit of (2\/4)\/(x\/q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20844 divided by -54\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 7. Put 0.4, x, 0.2 in descending order.\nAnswer: 0.4, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*q - 4. Let f be (8\/(-14))\/(q\/7). Suppose 3*k - 813 = -3*x, -f*k = -4*k + 2. Round x to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.63 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**4\/12 - 17*c**3\/6 - 13*c**2 - 11. Calculate m(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mbbppmpmpprrrmmmrrm.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1579536 and 426.\nAnswer: 112147056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -3*s, -122*s + 2*y = -117*s + 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46003280 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 5.6 take away 0.55?\nAnswer: 5.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-4 - (3 - 13)) - -8 - (-19 + 64)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/4 - 45*p - 183\/4.\nAnswer: 3*(p - 61)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2 - 1654*t - 13360 = 0. Calculate t.\nAnswer: -8, 835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 10*n**3 - 5*n**2 - 3. Let t(x) = -15*x**3 + 9*x**2 + 5. Calculate -5*q(z) - 3*t(z).\nAnswer: -5*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -287 - -549. Find the third derivative of d*t**2 - 11*t**2 - 64*t**6 + 33*t**6 wrt t.\nAnswer: -3720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00219763 to six decimal places.\nAnswer: 0.002198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 4464.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6644800529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 40*h**2. Let g(c) be the first derivative of 2*c**2 + 279. What is g(v(i))?\nAnswer: 160*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and (2\/(-1))\/(-8) - 663\/(-52).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 20*o + 2. Suppose 0 = -2*l + 4. Let z be f(l). Calculate the highest common divisor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/5)\/(-3)*36*-1. Let t be ((-8)\/(-16))\/((-2)\/j). Let y(h) = 21*h**2 + 7*h + 17. Is y(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - 2*sqrt(539)*5)*4 + -3)**2.\nAnswer: 1512*sqrt(11) + 698553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-2))\/q)\/(q*q\/(q\/(q**(2\/11)\/q))))**(2\/109)*(q**12*q**(-2\/9))**(-1\/12) assuming q is positive.\nAnswer: q**(-61387\/64746)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(36\/10) - -1. Let f be (52\/6 + 3)*3. Let s = -32 + f. What is the closest to 0 in -4, n, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31343264 greater than -31343264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from njldljj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-15) + (-3)\/15*-12. Suppose 0 = -4*j - y*n + 22, -5*j - n = 3*n - 26. Let o(w) = -4*w - 3. Let s be o(-6). Solve 5*r = j - s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.7819863 to one decimal place.\nAnswer: -71.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3130\/13772)\/(36\/(-99))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 52)*(-2)\/8. Suppose -5 - y = -2*f. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/16 - 2 - (1715\/(-56))\/(-7)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 9*j**2 - j - 5. Let u be w(-9). Let i be (-2)\/11 + (-7)\/(154\/18). Sort i, u, 9 in decreasing order.\nAnswer: 9, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)*(d**(-4\/7)*d)\/d)\/((d\/(d\/((d\/((d**(-6)*d)\/d*d))\/d)*d*d))\/(d\/(d\/((d**(2\/5)\/d*d)\/d)))) assuming d is positive.\nAnswer: d**(-251\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(1100) + (0 + sqrt(1100) + sqrt(1100) + -2 - sqrt(1100) - sqrt(1100) - sqrt(1100))) - 4*4*(0 + sqrt(1100)))*1)**2.\nAnswer: -640*sqrt(11) + 281604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from fzzfzffzzzzzfzzz?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = k + 35. Let v(y) = -3*y**2 + 7*y + 7. Let n(w) = 2*w**2 - 5*w - 5. What is k*v(l) + 7*n(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) + (sqrt(384) - sqrt(24)))\/sqrt(8))**2*-3 + -2 + -3.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -412997 divided by 223.\nAnswer: -412997\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 455 - 130620?\nAnswer: -130143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -20. Let k = -0.006 + -2.904. Let l = a + k. What is the second smallest value in -5, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 104\/1219669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*a - 21 = 4*v + 292*a, v + 4*a = 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*o**2*q**4 + 2*o**2*q**3*v - 4*o**2*v + 3*o**2 - 6*o*v wrt q?\nAnswer: -20*o**2*q**3 + 6*o**2*q**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 25155905066?\nAnswer: 25155905065.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(80) - (0 + sqrt(80))) + sqrt(80) - (sqrt(80) + 2 + 0 - sqrt(80)))**2 - ((4 + sqrt(720) + 2)**2 + (-3 + 2*sqrt(720))**2).\nAnswer: -3561 - 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/895?\nAnswer: 1\/895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y - 5*y + y. Let i = 561 + -567. Does 20 divide t(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 498. Let s be x(9). Solve 203 - s = 76*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354509190 a multiple of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*s**2 + 5 + 52*s**3 - 5 - 327*s**2 + 568*s**2.\nAnswer: 52*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14.9? (a) -125 (b) -2.1 (c) 1\/7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -28.609955 times 3\nAnswer: -85.829865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 1. Let a(r) = 3*r + 27. Let m(u) = -a(u) - 6*y(u). Let z be m(5). Let n(x) = -x**3 - 6*x**2 + 4. Calculate n(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 8) to base 10\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -497, 72.\nAnswer: -497, -24, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 5 (c) -4 (d) 163.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h. Let l = 9 - 5. Let z(m) = -5*m - m + l*m + 3*m. What is x(z(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**2 - 2*f + 3. Let n be p(2). Suppose 9 = r + 2*c, 5*c + 0*c = -n*r + 21. Solve u - r*u = 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, x: 3, h: 1, f: 1}. What is prob of sequence mmmf?\nAnswer: 7\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3988869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*u. What is the first derivative of u*p + 0*p + 7*p**2 - p**2 - 1 wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13614.\nAnswer: 2, 3, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z**(-4\/5)*z)\/z)*z**(-2\/9))\/(z**6\/z*(z*(z\/(z\/(z**4\/z)*z)*z)\/z)\/z) assuming z is positive.\nAnswer: z**(-289\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1) + -2 + 7. Let q(b) = -6*b**2 + 2*b**2 + 2*b**3 + o*b - 3*b**3. Suppose -10*n = -2*n + 40. What is q(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 - 72.35. Round t to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 1)*(-4*n + n + n + (-n + 3*n + 0*n)*(5 - 2 - 1) + 2 - n - 2 - 4 + 4 + 2*n + n - n - 2*n + 156 - 156 + 167*n)*(-1 + 0 - 1).\nAnswer: -1344*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1273 divided by 1273.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24764423 + 233\nAnswer: 24764656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o + 15 = 20*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.52802 + 0.22802. What is the second smallest value in -12, 1\/2, 22, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/10 - (-1 - -1). Let f be (-228)\/(-24) - o\/4. Solve -2*v = -1 + f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 2:35 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*l - 7. Let i be -12*(21\/(-9) - l). Suppose i*r - 14 = -5*g, 2*r + 16 = -2*r. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 1\/279, 0.4, -1, 2\/7?\nAnswer: 1\/279","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1523*a - 3066*a + 1223*a + (-3*a + a + 0*a)*(-3 + 6 - 2).\nAnswer: -322*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 20062597.1.\nAnswer: -20062597.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 3*c + 3. Let m be f(2). Let a be m\/(-24)*149911*2. Let b = 12482 + a. Calculate the common denominator of b and -67\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 3*c**2 - 4*c + 2. Let w be q(3). Let t = w + 16. Calculate the smallest common multiple of 4 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)\/y**6)\/(y*(y\/(y*y**(-2)*y))\/y*y)**16*y**(-3\/8)\/y*y**(-3\/8)*y**(-5)*y**(3\/5) assuming y is positive.\nAnswer: y**(-943\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(((j*j\/j**(-2\/7))\/j)\/j)\/j)**26)**35 assuming j is positive.\nAnswer: j**260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 9, j: 9}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-74*3)\/(-12 + 11) and 6?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*h - 2*w + 94, -26 = h - 2*w. Let q be (h - -2)*4\/(-8). Let u = q - 9. What is the highest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 81233.51 less than 5?\nAnswer: -81228.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 18. Let q be (z\/(-5))\/(7\/(-35)). Solve 5*u = 3*w - 34, w + q = -u + 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.06847ug to grams.\nAnswer: 0.00003206847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1216673 * -1\nAnswer: -1216673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 611\/36. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v\/(v*v**1)*v)\/v)\/v)**(-5)*(v**4\/v)\/(v\/(v\/(v\/(v\/v**(-2\/13)))))*(v**(-2\/5)*v*v**(-8)\/v*v)**(-39) assuming v is positive.\nAnswer: v**(18964\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 229437 and 391275?\nAnswer: 269588475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30223 + -14?\nAnswer: -30242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3583*q - 262285 = -1232*q + 55505 for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 - 2*s**4 - s**4 - 4*s**4 + 0*s**4 + 0*s**4 + (2*s**3 - 2*s**3 - 14*s**3)*(-s - 2*s + 5*s) + (-3*s**2 + 0*s**2 - s**2)*(3*s**2 + s**2 - s**2).\nAnswer: -46*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 8, r: 5}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from beohbohbohhbih. What is prob of picking 1 h and 1 o?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35\/2 + (-2)\/4 is divided by (30\/8)\/(-3 + 54\/16).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h + 3*r + 1044 = 0, -r = -3*h + 1042. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70486 - 214.\nAnswer: -70700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 + 222*r**2 - 5*r - 222*r**2 - 1 - 7*r**3 to g*r + y*r**4 + t*r**3 + p*r**2 + w and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 8\/21?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622301 is divided by 821.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2 = 123. Let v(b) = b**2 - 6*b - 6. Let f be v(8). Calculate the greatest common factor of t and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 7:59 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-185 - (-47 + -37 + 38)) + (0 - (2 + -4))?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 - 3*a + 12. Let j(i) = 95*i**2 + 300*i - 1200. Let c(g) = -j(g) - 100*r(g). Let b(u) = -3*u**2 + 0*u**2 + 6*u**2. Calculate c(b(m)).\nAnswer: 945*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 12*r**2 + 3*r + 16. Let m be h(12). Suppose 0 = -6*l + m + 86. What is the remainder when l is divided by (4\/(-3))\/(2\/(-18))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.012 + -0.012. Let b = -22.13 + v. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/128 and 107\/176.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004514585 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 558*f**2 - 6*f + 9.\nAnswer: 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -29. Suppose 2*q - 3*s - 2*s = 8, 2*s + o = 3*q. Suppose 10*k - 9*k - q = 0. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 >= 675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -254125 and -1.8175244.\nAnswer: -254126.8175244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 218829965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6427 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 12 (c) 3\/8 (d) 0.07 (e) -9 (f) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 131\/100 in 1\/7, -1\/2, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f. Let p(o) = 1952309*o**2 - o. Calculate p(z(s)).\nAnswer: 17570781*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 299589, 299580, 299569, 299556?\n\"Answer: -l**2 - 6*l + 299596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b - 139. Let m be z(-49). Suppose -5*u - m = 4*h - 49, 2*h - 8 = 0. Solve 2*l - l = -2*r - 6, 2*l + 16 = -u*r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/(-1*(-4)\/12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-4 - 251)\/5. Let h = -37 - z. Suppose -4 = -f + h. What is the greatest common divisor of f and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001101 - -1010101011001?\nAnswer: 1100101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 795 + 1333 = -215*f - 1957 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2937 = -18*m + 143223. What is the thousands digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 4\/79, 0.024 in ascending order.\nAnswer: -19, 0.024, 4\/79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -444 divided by 2.\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -15*x**2. Let m(n) be the second derivative of n**4\/12 + 23*n. Calculate z(m(s)).\nAnswer: -15*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/20 + 3\/20. Which is the second biggest value? (a) 2\/7 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from {h: 3, e: 1, l: 5, q: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 + -1. Let j be -1 + (-4 - -2) + -1. Which is the third biggest value? (a) j (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3151 divided by -81?\nAnswer: -3151\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/3)*(z\/z**(-1\/5))\/z assuming z is positive.\nAnswer: z**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4 + 8*m**3 + 26*m**2 - 8*m - 24 = 0. What is m?\nAnswer: -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -3c0c9?\nAnswer: -3c0cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2409*k**2 + 595*k - 11. Let u(g) = -1206*g**2 - 298*g + 5. Let s(j) = 7*u(j) + 3*x(j). Find the second derivative of s(p) wrt p.\nAnswer: -2430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1218, -4857, -10912, -19383?\nAnswer: -30270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17677374 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*l - k - 2, 3*k = -6. Let a = 7 - l. Suppose -c = a*c - 45. What is the greatest common divisor of c and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - u + 2*u)*(-198*u + 30180*u**2 - 15090*u**2 - 15088*u**2).\nAnswer: -2*u**3 + 198*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1011861 is divided by 2279?\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136894 by 3010.\nAnswer: -68447\/1505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15579 + -23601. Let r = 8442.7 + v. Round r to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*v + 9 = 0, -17*v + 22*v = -15. Let n(t) be the second derivative of -11\/12*t**4 + 15*t + b*t**3 + 0*t**2 + 0. Let g(c) = 5*c. Give n(g(p)).\nAnswer: -275*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**8)\/o)**(-20\/11)*o**(-17)*o\/(o*o**(-1\/2)))**32 assuming o is positive.\nAnswer: o**(-688\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 60 = -8*d. Let 8*s**2 + 4 - 8*s**3 + 7*s - d*s**4 - 7*s - 4*s**5 + 12*s = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/5)\/a**(-2\/5))\/(a**(3\/5)\/a**(2\/7))*a**20*a**(2\/5)*a**(-3\/5) assuming a is positive.\nAnswer: a**(717\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is (-648)\/(-660) - 4\/22?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2425236 and 22.\nAnswer: 2425236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 2 - 15*f - 17*f + 19*f.\nAnswer: -13*f - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 - (-26 - (-29 + 7)) - -18.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 4*u**3 - 3*u - 2*u**3)*((-u - 3*u + 7*u)*(-5*u - 6*u + 16*u) + 2*u**2 + 3*u**2 - 7*u**2).\nAnswer: -78*u**5 - 26*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22\/7*m + 10\/7 - 2\/7*m**3 + 2*m**2.\nAnswer: -2*(m - 5)*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1368, -1759, -2422, -3351, -4540?\nAnswer: -5983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 1, 1\/6, -5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0)\/((-88)\/(-30) + -3). Calculate the highest common factor of c and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a day?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -2697 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 926 + -929. Which is the nearest to f? (a) 4 (b) 3 (c) 57 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17 + 62*j**2 - 16*j**2 - 25*j**2 wrt j.\nAnswer: 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2267, 2068, 1735, 1268, 667?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p + 5*s + 15 = 21*p, -3*s + 26 = -4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50775 divided by 3?\nAnswer: 16925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, 24, 17, -8, -57?\n\"Answer: -f**3 + 12*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*g + 2695 = 0, z + 24*g - 22*g = 2725. List the prime factors of z.\nAnswer: 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - a**2. Suppose -7*w = -43*w - 36. Let t(x) = 3*x**3 - 2*x**2 + 5. Determine w*t(u) + y(u).\nAnswer: -2*u**3 + u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41378 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (29 + (16 - 13 - (1 + 10))).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 + 860846*q\/3 - 860845\/3.\nAnswer: -(q - 860845)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(171) + -3 + -1 + sqrt(171) + 0 + sqrt(171) + 4 + sqrt(171)*2 + (-1*(-2 + sqrt(171)) - sqrt(171)))**2.\nAnswer: 90*sqrt(19) + 1564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2232 divided by -372\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 - (5 - 1)*1)\/2. Suppose 2*a - 792 = d*f, f + 392 = -2*a + 3*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 6.175?\nAnswer: 6.575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892702?\nAnswer: 2, 157, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*p - 1185 = 34*p. What is the remainder when p is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 366901846?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/8 - 45*g**4\/4 + 94*g**3 + 1981*g**2\/4 - 9825*g\/8 + 650 = 0. What is g?\nAnswer: -5, 1, 13, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.15713?\nAnswer: -0.078565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7305811 less than -0.08?\nAnswer: -0.8105811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 9. Let a be f(-3). Let g(s) be the first derivative of -2\/5*s**2 - 1\/5*s + 1\/15*s**a + 1\/5*s**4 + 2. Factor g(j).\nAnswer: (j - 1)*(j + 1)*(4*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12620*g**3 - 12620*g**3 - 2165*g**5 + (2*g**4 + g**4 - 5*g**4)*(0 + 0 - g).\nAnswer: -2163*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -7*g**3\/5 + 6*g**2 - 36*g\/5 - 47. Suppose s(b) = 0. What is b?\nAnswer: 6\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 + -115. Which is smaller: -36 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 - (2\/6)\/(3\/18). Find the third derivative of 16*y**2 - y**3 - 2*y**3 + f*y**3 - 3*y**3 wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from adavdndddvvdvdd?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 211 = -63. What are the prime factors of y?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - f + 11*u, u + 4 = -397*f + 399*f - 19 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -28. Let q be ((-2)\/5)\/(g\/(-5)). Which is the nearest to -2\/5? (a) 1\/11 (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*(39\/7)\/(-13)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-2\/39)*(i\/i**4)\/(i\/(i**(-1\/6)\/i)) assuming i is positive.\nAnswer: i**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 0*i**6 - 9*i**2 + 0*i**7 + 0*i**4 + 0*i**3 - 1\/60*i**5 - 1\/84*i**8 + 0*i + 0. What is the third derivative of q(z) wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2 - 2*b**2 + 9*b + b**3 - 9*b. Let a(u) = -6*u**3 + 11*u**2 - 11. Let t = 5 - 7. Give t*a(o) - 11*d(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 + 2*n**3 + 214*n**6 - 14 + 14 + 10*n**2 + 44*n**6 wrt n?\nAnswer: 30960*n**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyvjjjjyjhymhjjhjy. What is prob of picking 1 y and 1 m?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 (base 14) in base 16?\nAnswer: -cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*q - 3*q + 4*q)*(2 - 3 - 4)*(-1 + 5 - 1) as w*q + l and give w.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*z + 1295, d = z - 366 + 101. Suppose z = -10*s + 15*s. What is the smallest common multiple of s and 36?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(99)*6 + sqrt(99))\/((sqrt(27) + sqrt(108)\/sqrt(4))\/sqrt(3)).\nAnswer: 13*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y + 11. Let t(o) = 3*o + 7. Let k(j) = -5*n(j) + 8*t(j). Let h(x) = x. Let z(p) = 1. Let c(u) = -2*h(u) + 2*z(u). Calculate 6*c(q) - 10*k(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1.1. Let g = -5\/8 - 1\/24. Let k = 267 - 267.1. Which is the closest to k? (a) -1\/3 (b) g (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0052696113 to 5 decimal places.\nAnswer: 0.00527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 72, 78, 84?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.435465 centimeters?\nAnswer: 44.35465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrvvrrvttv. Give prob of picking 2 v.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -318 - -1127. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-28) - (-4)\/14. Let j = 0 + d. Calculate the remainder when 2 + -1 + j + 26 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 13)*(-2*w + 3*w - 2*w) to o + h*w and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -325.552 rounded to the nearest 10?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 8*i - 11 + 0 - 22*i.\nAnswer: -30*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 2*b - 16. Suppose 3*g + 2*j = b, g + 3*j - 23 = 6*j. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 109*f**2 - 10 - 12 + 16.\nAnswer: 109*f**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*k + 2*q + 1, -q - 6 = -5*k. Let d be (k - 2)\/(3 + -2). Is d <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2125270 - 1?\nAnswer: -2125271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*p - 589*p**3 - 1489*p**3 + 239*p + 257*p.\nAnswer: -2078*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 228614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**2\/2 + 32*k + 64. What is the remainder when r(3) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3092)\/1740 + (-186)\/8091\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 19 + 23 = 0, -4*j + 5488 = 5*m. What are the prime factors of j?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + 8*i**2 - 16*i - 10*i**2 + i**2 in the form f*i**2 + o*i + m and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*f - 43*f + 2*r - 168 = 0, 6*f + 2*r - 239 + 37 = 0 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*m + 161 + 453 = -2475 + 247 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (23 + 15 - -6) + -16 - -20\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 8:51 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1490\/6)\/((-16)\/(-48)).\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 352*u**3 - 6*u + 4*u - 164*u**3.\nAnswer: -516*u**3 - 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140 - -210. What is the greatest common divisor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*s - 46*s + 200592. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.06 (b) 4 (c) -3\/4 (d) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10060219513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/3 and 47\/38084131.\nAnswer: 114252393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 4. What are the prime factors of v(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-1 + 69\/6). Is 12 a factor of -28*((-45)\/g - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.7 + -9. Let t = 9 - 9.1. Let o be ((-10)\/12)\/(-5)*1. Which is the nearest to t? (a) 1\/2 (b) z (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 + 2*v**2 + 7*v + 6. Give b(-3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 6:50 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 276 = 76. Calculate the common denominator of (-1185)\/b*4\/(-6) and 89\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h. Let i(k) = k - 2. Let p be (-2 + 27 + -28)\/(-3*3\/12). Let u = -2 - -4. Give p*a(n) + u*i(n).\nAnswer: -2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 10 + (-8 + 5 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = y - 3*p, 4 = 2*y + 3*p - 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(19) - (sqrt(19) - (sqrt(171) + -3))))**2.\nAnswer: -450*sqrt(19) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 + 24153*o - 48312*o + 24159*o - 3*o**2 + 2*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 26 = 2*w - 36, 3*h - 5*w - 41 = 0. Suppose 0 = -h*p + 1842 + 498. What is the highest common divisor of 75 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -17 + -1 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-18 + 4)) + -4\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 1. Let n(t) = 2*t - 1. Let c(d) = 5*n(d) + 6*z(d). Let h be 8*3\/6 + -1. Suppose -1 = l + 2*q, h*l = 5*q - 3*q - 11. Give c(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 divided by 77.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1485 - 1307. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7}. Give prob of picking 3 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + 6 + (2 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f - 62. Suppose -39*l = 4*l + 473. Let q be o(l). Is 0 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h = 192. Let r(t) = -10*t - 20. Let k be r(-8). Suppose 0 = -3*i - h + k. Solve -i*q - 8 = 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**2\/2 - 28. Let j(f) = -1. Let u(v) = v. Let s(o) = -j(o) + u(o). What is -2*r(x) - s(x)?\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 7:41 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -284659 divided by -659.\nAnswer: 284659\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 147*g**2 - 1220*g + 3079. What is d(-155)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - h**2 - 4*h**2)*(0*h**2 - h**2 - h**2) + h**2 - h**4 - h**2 + (0*h**2 + 2*h**2 - h**2)*(0*h**2 - 3*h**2 + h**2).\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 124836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119*-4.6.\nAnswer: 547.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6005825747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1920 and 745384320.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1190091 - 14*h**3 + 2*h**2 - 2*h + 1190100 + 0*h to i*h**3 + d*h + v*h**2 + a and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5870514272 to the power of 1\/2, to the nearest integer?\nAnswer: 76619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 24 = -0*r - 4*b, 2*b = -2*r + 4. List the prime factors of ((-3)\/r)\/((-1)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 5*j - 3. Suppose 5*s + 9 = 6*s. Let m = s + -15. Let c be i(m). Sort c, -1, 1 in descending order.\nAnswer: c, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42, 49, 272, 627, 1114, 1733, 2484?\n\"Answer: 66*u**2 - 107*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 77) + (-2 + 5 - -1). Let d = -62 - a. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 358 + 463 = x, 637 = -4*m + 3*x. Is m smaller than -187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(1\/3))**(-11))**(-2\/51))**(1\/18) assuming v is positive.\nAnswer: v**(11\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -294 - -295. What is the fourth biggest value in a, 3, -16, 5, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*i - 3*i. What is the remainder when i is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 5:50 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 9*f**2 + 7*f + 10. Let d be y(-8). Suppose 4*b - 7*r + 8 = -3*r, d = -2*b - 5*r. Let a be 2*((-14)\/b)\/7. Solve -2*m = -m - a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**5 + 24\/5*m**2 + 0 - 78\/5*m**4 - 16\/5*m + 68\/5*m**3 = 0.\nAnswer: -1\/2, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 54*r**2 - 8*r + 431. What is l(54)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 11*g - 837. Let q be r(77). Solve -18*s + q*s = 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*u + 445*u + 23722 = -268*u for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 738*j**3 + 274 - 728*j**3 + 13.\nAnswer: 10*j**3 + 287","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/3 of a week in hours?\nAnswer: 3080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/5 of a millennium?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (0 + -8)) + -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((5 - 177\/36)\/3). Suppose 100 = -11*t + c*t. Factor 1\/4*v**t - 27*v - 3*v**3 + 27\/2*v**2 + 81\/4.\nAnswer: (v - 3)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*c + 40. Let b(y) = -y**3 - 16*y**2 - 16*y - 5. Let h be b(-15). Let u be 1\/(-5) + (-105)\/(-25). Solve -t + 20 = 3*p, u*t - t = c*p - h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -97, -1, 6, -5, 5\/21?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.33869.\nAnswer: -0.101607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-24)*(-6)\/30*-5.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u. Let s(m) = 62478789*m. Calculate s(h(g)).\nAnswer: -124957578*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -245*x**2 + 15*x. Let j(q) = 123*q**2 - 8*q. Calculate -6*i(a) - 11*j(a).\nAnswer: 117*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k**3 - 13*k**2 - 83*k - 45. Let d(n) = -16*n**3 - 25*n**2 - 174*n - 90. Let m(h) = 3*d(h) - 7*o(h). What is m(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3*(-1128)\/(-1316)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -3*n + 3*j, n = 3*j - 2. Suppose 7*x - 367 = -1137. Let l be (n\/((-175)\/(-30)))\/((-3)\/x). What is the highest common factor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14357 - 14357 - 41*g**2)*(0 - 4 + 2)*(6 + 3 - 13) + (3*g - 2*g - 3*g)*(-2*g + 2*g + g) + g**2 + 2*g - 2*g as p + d*g + z*g**2 and give z.\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2771 to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -63*k + 1 + 39*k + 30*k. Let j(q) = -11*q - 2. What is -5*h(f) - 3*j(f)?\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 89\/712 - 8890\/(-560).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352238600?\nAnswer: 2, 5, 7, 311, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -952*b + 56. Does 168 divide i(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 + 9*t + 6. Give f(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5 + 25690*v**4 + 745948*v**3 - 2494714*v**2 - 745947*v + 2469024 = 0. What is v?\nAnswer: -32, -1, 1, 3, 25719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*f - 4*s - 151, 5*f - 4*s - 249 = 0. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 7, -2, -116, 1 in increasing order.\nAnswer: -116, -4, -2, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*p - 6075 = 181*p + 24*p for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -8831*k - 44179. Calculate w(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2467089.8 rounded to the nearest 10000?\nAnswer: -2470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x + 4. Let f be j(8). Let r = f - 12. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*o + 76*o + 115*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22464017690 - 6381?\nAnswer: -22464024071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.162 + -46.838. Which is smaller: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18638350?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - -c2?\nAnswer: cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**2. Let k(x) = -8*x + 20*x**2 + 5442 + 8*x - 5429 - 5*x**2. What is b(k(a))?\nAnswer: -900*a**4 - 1560*a**2 - 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from mmmmcmccmmmmmmmmmm?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*r**4 - 14040*r - 1191*r**3 - 25*r**4 + 2084 + 201*r**3 + 1296 + 8015*r**2 = 0 for r.\nAnswer: 2\/7, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720))**2 + sqrt(5) - (sqrt(80) + 2).\nAnswer: -3*sqrt(5) + 718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w - w**3 + 2 + w + 8*w**2 - 4*w. Let u(k) = -k - 6. Let h be u(-11). Suppose 0 = 5*m - h, 5*y + 0*y + 4*m - 39 = 0. Give x(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186478309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92265 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 + 6904730*d.\nAnswer: -5*d*(d - 1380946)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 311*d**3 + 74*d**3.\nAnswer: -237*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 55776903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/4)*s)**(3\/44)\/((s\/(s**(1\/4)*s)*s*s*s)\/(s*s*s*s**(-7)\/s)))**(-7) assuming s is positive.\nAnswer: s**(9443\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33162960 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 + 36. Sort 5, -2, c in descending order.\nAnswer: 5, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 0 - 1\/24*a**4 + 1\/6*a**3 + 0*a + a**2. What is the derivative of t(z) wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 3320210311?\nAnswer: 3320210320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/32 - (-23)\/(-4). Let t = 1 + j. Let g(m) = m**2 + 4. What is the tens digit of g(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.204 + -0.204. What is the closest to -0.1 in a, -4, -1\/27?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1006, -1999, -2994, -3991?\nAnswer: -4990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 33 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19871 + -18036. Calculate the highest common divisor of w and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -201, -632, -1321, -2244, -3377, -4696, -6177?\n\"Answer: 4*h**3 - 153*h**2 - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 106, -829786?\nAnswer: -829786","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/40 and 47\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -732043 divided by -277?\nAnswer: 732043\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -3. Let h(n) = -n**3 + 8*n**2 - 7*n + 12. Let f be h(7). Let g(l) = -2*l**2 - f + 5*l**2 + 2*l - 4*l**2 + 8. Give g(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-9)\/3 + 10. Suppose o - 11 = p - 283, 4*o = u*p - 814. Is p at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -4*h + 12. Let o = h - -44. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9)*22)\/(36\/54).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 8. Let k be p(8). Suppose 4*t - t - 185 = -5*d, 3*d + 5*t - 95 = k. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17703065 - 12542065. Suppose 4*u = 17*u - m. What is u rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 3 + 0)*(-2 - t + 2) + 0*t - 5*t + 4*t)*(-74 + 19 + 55 + 3859*t) in the form l*t + f*t**2 + o and give f.\nAnswer: 3859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 157, 212, 249, 262, 245?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 divided by 157?\nAnswer: 166\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 at least -775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 514, 1042, 1574, 2110, 2650, 3194, 3742?\n\"Answer: 2*w**2 + 522*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8714.582ns to milliseconds.\nAnswer: 0.008714582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(2\/11)\/n))\/(n*n*n*(n*n**3\/n)\/n))\/(n**(2\/3)\/n)**24*((n**1*n)\/n*n)**(-4\/15)*(n**(-1))**(-35) assuming n is positive.\nAnswer: n**(6482\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 + (-599)\/(-75))*3610\/12. Let g = 13\/30 - t. Suppose -4\/9*n**2 + g + 4\/3*n = 0. Calculate n.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 12*v = -8. Solve -5*l + 30 = -v*a, 0*a + a = 2*l - 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1) + -8 + 1 + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 3*d**8\/112 - 4*d**7\/35 + d**6\/10 + 3*d**5\/10 - 7*d**4\/8 + d**3 + 5*d**2. Find a, given that l(a) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.17818 and -7.\nAnswer: -6.82182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -202 - -98. Let j = 337\/3 + s. Factor -3 + 10*i - j*i**2.\nAnswer: -(5*i - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*b - 0*j + 32, -14 = -b + 2*j. Let y = 344 + -651. Let z = 311 + y. What is the least common multiple of b and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163090*q**3 - 25288*q + 5.\nAnswer: 978540*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -62*t - 13. Calculate s(-4).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -6\/5 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96024037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 - -550501?\nAnswer: 550402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 + 526 + 3*v - 525 - 3*v + 9*v**4 - 23*v**4 - 11*v**2 in the form h*v + f*v**4 + t*v**2 + j + u*v**3 and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 131 - 3433. Let o = 2177 + -8771\/4. Calculate the common denominator of o and h\/32*(-8)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 776 and 388?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9*a + 14*a**3 - 1 - 23*a**3 + 8*a**3 + 4*a**2 + 7*a. Let l be 4\/(-10) - (-17)\/5. Determine y(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 7*k - 6. Let i be x(6). Suppose z - 10 = -5*v, 6*v + 5*z = 10*v - 8. Suppose v = o - 3*o. Put i, o, 4 in ascending order.\nAnswer: o, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8*m - 4. Let k be x(4). Suppose 3*h = 143 + k. Let g = h - 29. What is the remainder when g is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/4 - 5*y**3\/4 - y**2\/4 + 21*y\/4 + 9\/2.\nAnswer: -(y - 2)*(y + 1)*(y + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q**2 - 495*q - 128. Let p(n) = 14*n**2 + 1483*n + 377. Let b(m) = -14*a(m) - 4*p(m). Factor b(k).\nAnswer: 2*(k + 71)*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**(-2\/9)\/r*r*r)*r**(-6)*(r*r**(1\/7))\/(r*(r**3*r)\/r) assuming r is positive.\nAnswer: r**(-544\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6106744171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-1))\/(48\/(-8))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i + 6*i + 0*i)*(-5 + 3*i + 5) - 3*i**2 - 3*i**2 + 5*i**2)*(41*i**2 - 12*i**2 + 69*i**2).\nAnswer: 1078*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*t - 75*t + 80*t**3 + (14 - 7 + 8)*(-2*t**2 + 4*t**3 + 2*t**2).\nAnswer: 140*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p = -41*p - 17*p + 44 + 7076 for p.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 47 + 48 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*l = 13, -16*s + 14*s - l = -3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i - i)*(9*i + 3*i + 0*i)*(2*i - i - 2*i)*(-1 - 3 + 3).\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 288704180 bigger than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by 977569\nAnswer: -51\/977569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Suppose 2*d + 5 = -5*n - 3*d, 3*n + 4*d + 3 = 0. Let i(j) = 1 + 0 + 0*j - 2 + 3*j. Give n*i(s) + 5*b(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-691 - -707) + (1 - 3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 176*z - 380 - 1204 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**5\/13 + 12*i**4\/13 - 566*i**3\/13 - 3352*i**2\/13 + 1512*i - 1664 = 0.\nAnswer: -13, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1697232 - -622943.12\nAnswer: 2320175.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((k\/(k**(1\/5)*k))\/k)\/k)\/k)\/k*k\/k**(1\/3))\/(k**(2\/27)*k*k**(-1\/5)))**6 assuming k is positive.\nAnswer: k**(-238\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times -263?\nAnswer: 289.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 2. Let o(h) = 5*h - 2. Let n(f) = -9*f + 3. Let j(g) = 3*n(g) + 5*o(g). Let c be j(-3). Calculate the least common multiple of a(c) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23622 - -24647. What is the smallest common multiple of 205 and h?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*n + 232 = -1084, -m + 4*n + 341 = 0. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -153 - -158 - (3 + -6 + -2 + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 - 12*x - 4. Let r(j) = -6 - 4*j + j**2 - 2*j + 5 + 2*j. Let o(z) = 3*h(z) - 8*r(z). Determine o(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1146 = 4*r, -3*j + 500 = 4*r - 643. What is the greatest common factor of r and 6696?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 2 + 0*h**2 - 44*h - h**2 + 43*h. What is n(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -436541 + -236?\nAnswer: -436777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -433, -329, 317, 1505, 3235?\n\"Answer: 271*o**2 - 709*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-10))\/(8\/10).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3135, -144, 3 in decreasing order.\nAnswer: 3, -2, -144, -3135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11937, 11933, 11927, 11919, 11909, 11897?\n\"Answer: -q**2 - q + 11939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q - q - 2*q - 4*q + 4*q - 3*q - q + 2*q + (-1 - 1 + 4)*(q - 2*q + 0*q))*(-4 - 2 + 2).\nAnswer: 28*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*d**5 - 38*d**2 - 4*d**2 - 6*d**2 - d**4 - 11*d**2 wrt d.\nAnswer: -3840*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 33 = -7*i. Suppose 0 = -2*x + i + 39. Calculate the remainder when 47 is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k**3 + 3*k**2 + 8*k + 4. Let z be m(-12). Is (z\/6)\/((-38)\/57) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11166 + 11566. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kks when three letters picked without replacement from {s: 3, k: 15}?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 26*b = 4352. What is the remainder when b is divided by 43?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217104?\nAnswer: 2, 3, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 2*i**2 - 5*i + 0 + 0*i**4 - 1\/2*i**5 + 0*i**3. Differentiate q(y) wrt y.\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 0.5. Let a = p - -0.10000009. Round a to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4707.6 + -5753. What is f rounded to the nearest 10?\nAnswer: -1050","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*a + 22*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftnctfo. What is prob of sequence cfo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**4\/12 + h**3 + 4*h**2 + 3*h. Let x(b) = -2*b - 3. Let o(a) = -8*x(a) - 3*z(a). Find the second derivative of o(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 - 18 = -51*g - 12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(52))*4)**2.\nAnswer: -64*sqrt(13) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4666107 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7168881, -7168883, -7168885, -7168887, -7168889, -7168891?\n\"Answer: -2*p - 7168879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2094 - 2082. Calculate the least common multiple of d and 7950.\nAnswer: 15900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**7\/112 - 17*s**6\/80 - 39*s**5\/20 - 35*s**4\/4 - 21*s**3 - 27*s**2 + 4*s + 42. What is w in l(w) = 0?\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6355*k - 3771 wrt k.\nAnswer: -6355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/1258400 and 25\/13728?\nAnswer: 3775200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2\/5 - 39*o - 558\/5 = 0. Calculate o.\nAnswer: -62, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 90279331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0357 and -282?\nAnswer: -10.0674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4506105 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: Differentiate -756*q**4 - 2826 + 197*q**4 - 2736 - 2127*q**4 + 2*q**3 + 144*q**4 wrt q.\nAnswer: -10168*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**2 - 2. Let u(t) be the third derivative of -13*t**5\/20 - 1092*t**2. Determine u(g(m)).\nAnswer: -156*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1150\/3 - 383. Is 0.024 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8270, 16437, 24602, 32765?\nAnswer: 40926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 15\/14 (b) -5\/6 (c) 120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**5 + 4234916*s**3 - 190042080*s wrt s.\nAnswer: -20*s**3 + 25409496*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 4. Let z(w) = 3*w - 14. Calculate -2*v(i) + z(i).\nAnswer: 7*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - p**2 - 3*p + 1. Let r be v(-3). Let q be 49 - ((-6)\/(-18))\/(26\/1248). Is r less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -3*v**5\/5 - 7*v**3\/3 - 31*v**2 - 24. What is the second derivative of k(x) wrt x?\nAnswer: -36*x**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.86*32.\nAnswer: 91.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -17*t**3 - 5*t**2 - 6*t. Let a(b) = 9*b**3 + 3*b**2 + 3*b. Let r(w) = -5*a(w) - 3*m(w). What is the second derivative of r(k) wrt k?\nAnswer: 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/72 and -20\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**3 - 8*h**2 + h - 11. Let n(y) = 6*y**3 - 7*y**2 - 12. Let s(i) = 4*n(i) - 5*z(i). Suppose -4*w = -16 - 24. Is s(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -11\/1241687 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*s + 15, 2*g + 5*s - 6 = 7. Suppose -9 = -g*h + 239. Suppose 13 = 3*a - 26. Calculate the remainder when h is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/5 + 9\/15. Let l = 3 + s. Let c be (0 + -5)*-1 + -2. Solve -3*z - 4*v = -5*v - l, c*z + 4*v = -1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2\/24)*(-6)\/(-18). Solve z = 3*a - 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*p - 6*p + 36, 3*p - 180 = -4*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 9*z**2 + 31*z - 66. What is h(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*f + 1 + 7, 2*v = 3*f + 9. What is the third derivative of 5*a**2 + 224*a**v + a**3 + 0*a**3 + a**3 - 3*a - 214*a**6 wrt a?\nAnswer: 1200*a**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t. Suppose -4*g + g = -9. Let k(v) = 8*v**3 + g*v - 4*v**3 + 2 - 2*v. Let c(a) = d(a) + k(a). Differentiate c(z) wrt z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -5. Let q be (10 - 1360\/(-10))\/(4\/10). Let x = -365 + q. Solve -4*b = w*m - 23, m + x*b = 5*b - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 15. Suppose w*t + 4*t = 140. Solve -6*f - 5*c + t = -f, -f = -5*c + 23 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 478*n**2 - 477*n**2 + 63*n - 63*n. Let l(m) = -449*m - 1. Calculate l(c(i)).\nAnswer: -449*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 19. Let p be (9\/6)\/((-4)\/w). Suppose 2*m = p*m - 7. Calculate the remainder when m is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*j - 2*q - 23, 4*q + 4 = 0. Let h be 2\/7 + (-330)\/(-21). What are the prime factors of (h\/j)\/((-2)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((5\/(-15))\/((-4)\/18)). Let q(d) = -2*d**3 + 4*d**2 + 4*d. What is the remainder when 54 is divided by q(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/4 + 27\/36. Solve k = r - 4*o - 10, -o = 3*r - 0*o + 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**2 - 24*j + 31. Let o be s(-7). Solve 4*c = -o*a - 5, -2*a + 0*c = -2*c - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1436634486?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2 - 784755*m + 784754 = 0.\nAnswer: 1, 784754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 1)*(8*n - 3*n + 3*n)*(1 + 1 + 0) as h*n + y and give h.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*v**5 + 9800*v**4 - 204809*v**3 + 888637*v**2 + 483333*v + 62055 = 0. What is v?\nAnswer: -1\/4, 7, 15, 591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -281. List the prime factors of u.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 994.2501g in tonnes?\nAnswer: 0.0009942501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 6:52 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*m + 562 - 1382 = -5605 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7676.4 times -0.155\nAnswer: 1189.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -19*o. Let z(r) = 15*r. Let l(m) = 3*p(m) + 4*z(m). Let y(x) = 16*x - 1. What is 11*l(g) - 2*y(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 42. Suppose s = r + 16. Calculate the least common multiple of s and 14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8262.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 5*r**4\/12 + 380*r**3\/3 + 14440*r**2 + r + 28. Factor v(o).\nAnswer: 5*(o + 76)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/(3\/24). Let n = o + -1. Let k = 8 + n. Let c(z) = z**2 - 4*z + 1. What is c(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34027 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/1851 (b) -2 (c) -0.55 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 0)\/(3\/(-39)). Let i = -25 - -32.1. Let d = -7 + i. Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/201 and ((651\/(-90))\/(-7))\/((-186)\/155).\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 18*g**2 - 219 + 0*g + 2\/3*g**3 - 43\/2*g**4. What is the third derivative of s(q) wrt q?\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10599781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**5 + 9*a**4 + 6*a**3 - 6*a**2 - 9*a - 3 = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/243 + (-86)\/18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 7*w**2 - w + 1. Let b be 17 - 12\/(8\/2). Suppose -3*x + b = -x. Give i(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -32, -7, 2, 5, 4 in descending order.\nAnswer: 5, 4, 2, 0, -7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**4\/4 - 1798*k + 2. Let w(q) = -2682*q. Calculate w(p(n)).\nAnswer: 8046*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 5 - 2*p - 2 + 14*p to q*p + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/7 and 939\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2. Let v(b) = 4754*b - 2. Let q(n) = 33264*n - 15. Let g(a) = 2*q(a) - 15*v(a). Give l(g(f)).\nAnswer: 22867524*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 19370.508 months?\nAnswer: 161.4209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1434 and 12?\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 108 = 4*v, 180*l = v + 358*l - 183*l + 135 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 3:33 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjgjjjjjjj. What is prob of sequence gg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/4 + -4)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -4*u + 17, -69*u + 66*u = -5*g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**3\/3 + 7*j**2\/2 - j + 42. Suppose -4*h = -0*h - 4. Let r(s) = 5*s**2 - s + 1. Let y be r(h). Give d(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12236748 is divided by 12512?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*y + 35*y = 3000 - 760 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 272, 254, 216, 152, 56, -78?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/9)\/(2*(-1)\/(-9)). Solve -u = -17*y + 20*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 10 + 1 + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/4)*p*p)**(-3\/2))**(-42)\/((p**(1\/5)\/(p**(-6)\/p))\/(p**(-5)*((p*p\/(p\/p**(-4))*p)\/p*p)\/p)) assuming p is positive.\nAnswer: p**(2531\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00029089 to 6 dps.\nAnswer: 0.000291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*x**4 + 85*x**3 + 35*x**2 - 5*x = 0.\nAnswer: -1, 0, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -269 + 511. Let t = 250 - y. Suppose -3 = 4*k - 5*k. Calculate the remainder when t is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, -130, -374, -702, -1132, -1682, -2370?\nAnswer: -3214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/113861 and -64\/627?\nAnswer: 6490077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 6\/(18\/(-15)). Suppose -41 = -6*u + x. What is the greatest common factor of u and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-120)\/4)\/((-1)\/2). List the prime factors of ((-16)\/(-10))\/(6\/n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -11 and 258.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.078 and -0.00493.\nAnswer: -0.08293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 261690\/7 - 37301. Let o = g - 83. Factor 2\/7*t**2 - o*t + 0.\nAnswer: 2*t*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1957 not equal to 109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2519 is divided by 388.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 142*h**3 - 480*h + 69*h + 51*h**3 + 4 + 42*h**3 + 2*h**4 + 50*h**3 to g*h**2 + s*h**4 + j*h + c*h**3 + o and give j.\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/126304 and 29\/20?\nAnswer: 631520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0512382 * -35.\nAnswer: 1.793337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 20.5. Let v = 0.1 - m. Let t = v - 3.5949. What is t rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2486 and 5198?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3195028377.\nAnswer: 3, 355003153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - l + 18. Let w be q(6). Suppose 4*n = 8*n - w. Calculate the highest common factor of n and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6096, 6191, 6286?\n\"Answer: 95*x + 6001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65922001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 33\/44*(320\/24)\/4. Let x(t) be the first derivative of -q*t**2 - 3*t - 5 - 1\/3*t**3. Determine x(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*o + 3378 = 3228 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c589 + 0?\nAnswer: c589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 14*t + 17 - 11*t.\nAnswer: -25*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) - (-27)\/12. Let g be (q - 0\/1)\/(-1). Let d be 2*g*(-1)\/4. Solve 3 + d = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -9. Suppose -4*i + 4 = 0, 0 = j + 3*j - 3*i - x. Suppose -6*s + 2*s = -4*o - 16, -3*o = j*s - 24. Solve -s = 3*u + 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-12)*(-12)\/(-4). Let z be ((-34880)\/(-15))\/(-8)*(-9)\/r. What are the prime factors of 1\/(3 - z\/(-219))?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32146 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4*1)\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*16976\/24*-3. Suppose -4*r + m = -17999, -2*m + f = -3*r + 17737. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 9*m + 8. Let i be s(8). Suppose -12 = -i*n - 2*n. Is n at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 44. Let l be (6\/36*-3)\/(w\/192). Calculate the highest common divisor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-19)\/j**(2\/17) assuming j is positive.\nAnswer: j**(-325\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 14*r + 77. Let u(x) = x + 6. Determine 6*l(d) - 77*u(d).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3477 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/57 and -39\/19?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 + -82. Let n(j) = -j**3 - 7*j**2 - 2*j - 5. Let w be n(-7). Which is smaller: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 22. Let x = 2 + -6. Which is greater: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-1))\/((-1)\/8). Let x be 9\/(-6)*l\/6. Let u be ((-24)\/(-20))\/(x\/5). Which is the nearest to 0? (a) 4 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0224 - 38.4776. Let l = 33.5 + q. Which is the nearest to -5? (a) 1 (b) 1\/4 (c) l (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0305 - -0.3195. Is d bigger than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 + -48. Suppose -4*d = -u - 20. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = -58*f + 54*f. Suppose 2 = -4*s + 6, 0 = b + 4*s - f. What is the greatest common divisor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 220\/33 - (24\/(-10))\/((-4)\/10). What is the biggest value in -5, 2\/21, -2\/7, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2))**(-24)*(r*(r**(-2\/3)*r)\/r)\/r*r\/(r**(-6)\/r))\/((r**4\/r)\/(r**(3\/8)*r))**(-3) assuming r is positive.\nAnswer: r**(5\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4405?\nAnswer: 5, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7940*d - 7942*d + 178 = 5*n, -d + 115 = -4*n. Calculate the remainder when d is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 9:44 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5729.\nAnswer: 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 8 = -2*t. Let h(w) be the first derivative of w**5\/60 + w**4\/24 - 5*w**3\/6 + w**2 - 4. Let x(m) be the second derivative of h(m). Determine x(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70174*k**6 - 3455*k**4 + 557*k**2 + 1506*k + 16.\nAnswer: 8420880*k**3 - 82920*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1246, -44, 5, -0.07 in descending order.\nAnswer: 5, 0.1246, -0.07, -44","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1379*q**3 + 5*q**2 - 5*q - 535. Let x(o) = -1380*o**3 + 6*o**2 - 6*o - 534. Let s(p) = -6*k(p) + 5*x(p). Differentiate s(y) wrt y.\nAnswer: 4122*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 1880823.\nAnswer: 16927407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 320 and 192?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -10. Which is the nearest to 0.1? (a) 3 (b) q (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -13\/3*g**3 + 1\/4*g**4 + 6*g**2 - 54 - 8*g. What is f(12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2687, -3735, -4783, -5831?\n\"Answer: -1048*t - 1639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*116\nAnswer: 23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03583317 to three dps.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18176 - -18175.956566. What is r rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 29*q + 14700 = -30*q, 4*q + 3660 = w. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -59, -164, -329, -530, -743, -944, -1109?\n\"Answer: 4*a**3 - 54*a**2 + 29*a - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*g**2 + 17*g**2 + 24*g**2 + 20*g**2 + 279*g - 570 - 79*g**2.\nAnswer: 3*(g - 2)*(g + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) 34\/7 (c) -75.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(117)*-5)**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 13. What is the units digit of 154\/(-21)*t\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by -21172.\nAnswer: 49\/21172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 + 2*x**2 + 2*x**2 - x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcc when three letters picked without replacement from ccrrrjcccrc?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 11 - (63 - 64).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**9\/120960 - l**7\/10080 + 17*l**5\/60 - 11*l**2. Let b(c) be the third derivative of g(c). Determine k so that b(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 659*o**4 + 12235*o**3 - 9*o + 145862 wrt o?\nAnswer: 7908*o**2 + 73410*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -267459*g**3*j**2 + 6*g**3*j*k**2 + 2*g**3*j*k + 2*g**2*j*k**2 - 2*g*k**2 - 7*g - 33*j**2*k**2 - 6909*j*k**2 + 3*j*k wrt j?\nAnswer: -534918*g**3 - 66*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - 52. Suppose -r + 51 = -2*i, 35*i - 98 = 39*i + 2*r. Calculate u(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/11 or -1996.4?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + 101*a - 139. Let j be o(-52). Solve 2*c = 2*f + 2, -j = 4*f + f - c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 5*m - 21. Calculate the remainder when t(14) is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4930264?\nAnswer: 2, 61, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 312 and 15?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 14*v + 3. Let l = 1019 - 1022. Let p(w) = -13*w - 2. Calculate l*p(d) - 2*b(d).\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 + a + 2. Let v(i) = -7*i**2 - 3*i - 4. Give 9*r(g) + 4*v(g).\nAnswer: -g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2646 - 2?\nAnswer: 2644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12934, -12932, -12930, -12928, -12926?\n\"Answer: 2*w - 12936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oot when three letters picked without replacement from {o: 17, t: 3}?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 7*q + 5. Let h be z(-7). Suppose 4*c - 2 = n, -n + 4 - 6 = 4*c. Let j be (-15 + c)*(-4)\/6. Solve 5*p = -h + j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 261 and 9.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + a + 9. Let k = -42 + 20. Let w = 183 + -205. Let l = k - w. Calculate z(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28519474 to the power of 1\/3, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*(-2*sqrt(108) + 4 + 2))**2.\nAnswer: -3600*sqrt(3) + 11704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 12853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -20. Let o be (6\/v)\/(30\/40). Suppose -4*h - 177 = -3*m, 3*h = -o - 7. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 6:24 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**5 - 614*c**4 - 45492*c**3 + 93456*c**2 = 0.\nAnswer: -177, -132, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -759, 4.7, -7, -5, 0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9941866 is divided by 2485462.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4948 by 15.\nAnswer: -4948\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63418375.\nAnswer: 5, 507347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 23. Calculate the highest common divisor of m and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 5336.\nAnswer: -5339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvjrrjkmmrrmrnrjkr. What is prob of picking 1 v and 1 j?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 132 = 52. Calculate the greatest common divisor of h and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-1)\/(-12) - (-3215)\/4. What is the highest common factor of 24 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2*(-21)\/(-18))\/(1*33\/(-63)). Is 4 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 42. Let i be k(21). Solve i = -o - 0 - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.9 - -0.9. Let j be 2\/(1*(-1)\/(-2)). Put j, -0.1, x in descending order.\nAnswer: j, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -590, -1126, -1596, -1970, -2218, -2310, -2216, -1906?\nAnswer: -1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -67*d + 1. Let v(w) = 5*w**2 + 59*w - 2. Give v(c(u)).\nAnswer: 22445*u**2 - 4623*u + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 124 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 20*f - 7. What is r(3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -789, -5.\nAnswer: -789, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 9*y. Let k be i(6). Suppose 0*s - k = -3*s. Suppose s*h = 2*h + 44. Calculate the remainder when 64 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2080 and -0.3.\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920000 rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-0.0067541408\nAnswer: 0.4932458592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t**3 + 20*t**2 + 28*t - 42. Let c(g) = 8*g**3 - 20*g**2 - 29*g + 41. Let q(d) = -4*c(d) - 6*i(d). Factor q(z).\nAnswer: 4*(z - 11)*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -5 (c) 1 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m\/(m*m**6*m)*m*m*m**7)\/((m*((m**(-2\/7)\/m)\/m)\/m*m)\/m)**33)**(2\/59) assuming m is positive.\nAnswer: m**(1126\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 6)*(3*f**3 - 4*f**3 + 0*f**3)*(-3*f - 2*f + 4*f).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385*s + 1160*s + 428*s.\nAnswer: 1973*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(1*sqrt(128) + sqrt(128)) - (sqrt(128) + sqrt(128) + -4*sqrt(128)*1))**2 + ((-1 + sqrt(128))*-3 - (-5 + sqrt(128) + 2*sqrt(128) - sqrt(128))))*-1.\nAnswer: -12808 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54170 = 5*k - 5*l, 2*l - 21680 = -0*k - 2*k. What are the prime factors of k?\nAnswer: 10837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + u - 1. Let q be 4\/(-8) + 26\/(-4). Let k(g) = g + 12. Let d be k(q). Suppose d*i + 24 = i - 4*t, 22 = -3*i - 4*t. What is n(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41.928 - 0.072. Let v = 675.9 - 711. Let a = o - v. Round a to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + -96 + (4 - 1) + 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2605 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: Is 56747879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(112) + 0)*-3 + 1 + -1*sqrt(112) - (4 + 1 + sqrt(112) - (1*sqrt(112) + 1)))**2*4.\nAnswer: 1920*sqrt(7) + 36020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 376473, 752877, 1129281, 1505685, 1882089?\n\"Answer: 376404*a + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-35)*-1*(-25)\/(-10))\/((-3681)\/(-128835)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2144198 and 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - n + 9, -j + 1 = -5*n + 2. Suppose 5*y + 2*h + 18 = 0, -j*h - 1 = y - h. Let x be 33\/(-44)*y\/(-5). Is x less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304 = -18*s - 341 + 33 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 244863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**7\/5880 + j**6\/420 + j**5\/56 - 23*j**4\/24 + 41*j**2. Let d(z) be the second derivative of t(z). Let d(q) = 0. What is q?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s = -5*y - 89, -5*s - 3*y + 102 = 0. Suppose 0 = 4*v + 3*v - s. Let i(h) = v - 3 + 0*h - 12*h. Let k(r) = -2*r. What is k(i(w))?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28 + -165?\nAnswer: -18d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**2. Let t(x) be the third derivative of -x**4 + 59*x**2 - 2. Calculate t(g(k)).\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r + 113*r - 6*r + 6*r.\nAnswer: 126*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 665565\/547 or 1216?\nAnswer: 665565\/547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -32*q**2 - 170*q - 34. Let r(j) = 11*j**2 + 60*j + 12. Let h(l) = 6*o(l) + 17*r(l). Let z(p) = 2205*p**2. Give z(h(m)).\nAnswer: 55125*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30891 divided by -3.\nAnswer: 10297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 290 and 319.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 11:21 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 10 + 5 = -m + 9*g - 8, 81 = -9*m + g for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/42, -0.2 in ascending order.\nAnswer: -0.2, 1\/42, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 179, 178?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1512 and 1134?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -3\/658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4257 from -0.128714.\nAnswer: 0.296986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1640*s**3 - 2 + 0 + 39*s**2 - 42*s**2 - 12*s**4 - 1668*s**3 to the form q*s**4 + o + f*s**2 + m*s + c*s**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(1 - 4 + 4)*(-10252*g**4 - 9887*g**4 + 2*g**3 + 19034*g**4 - 2*g).\nAnswer: 2210*g**4 - 4*g**3 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250 and 3006.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2\/13 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1198 + 75.6025\nAnswer: 75.4827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -186 + 970. Let f = 784.000476 - h. What is f rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 + 17*v + 7. Let c be y(-6). Let p = -92 - c. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 36505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 551314 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/(i*i**5)))\/i)\/i)\/i*i**(-3\/5))**(-21)\/(i**5\/(i*i**(-9)))**(-32) assuming i is positive.\nAnswer: i**(1828\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 12. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3294.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53614285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -2218?\nAnswer: 8872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-6) - 4)*(1568\/272 + -6)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Let z be 2\/(-7) - 4\/(-14). Suppose a*t - 3600000 = -z*t. What is t rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m + 246 = -339. Let a = m + 23. What is the common denominator of -34\/7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 808669, 1617338, 2426007, 3234676?\n\"Answer: 808669*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 6:34 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from jdmj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 times -63?\nAnswer: -176.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 333888 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 3*s + 23. Let n be c(-4). Let g(h) = 7*h + 40. Let j be g(n). Solve -5*z + 3*a - 10 - 10 = 0, 0 = -j*z + 2*a - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 - (28 - (84 - 65)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 6*u**2 + 4*u + 2. Give b(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 3 = -4*r - 4*y, 4*y + 24 = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 8*i + 2. What is r(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -997, -1950, -2929, -3934, -4965?\nAnswer: -6022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {c: 3, v: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1975348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 335 = 2*u - 341, -2*n = 3*u - 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 2:13 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 6 (b) -4 (c) -0.28 (d) -0.3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q + 87. Let b(i) = -16*i + 172. What is 3*b(j) - 7*k(j)?\nAnswer: j - 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 2. Let w be k(-5). Let j(u) = 5*u**2 - u + 4. Suppose 0 = 18*b + 2*b. Let f(x) = -46 + x - 4*x**2 + b*x + 43. Calculate w*j(v) - 4*f(v).\nAnswer: v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.68 - 1.7. Let c = 0.06 - d. What is c rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(24\/(-6)))\/((-1)\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*b + 14 = -14, 5*j + 4*b - 4 = 0. Suppose -g + 36 = -j*g + 3*y, 4*g = 3*y - 50. Sort 3, 0, g in increasing order.\nAnswer: g, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377764688?\nAnswer: 2, 7, 19, 167, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -5*y**8\/336 - 3*y**7\/14 - 19*y**6\/24 + 7*y**5\/4 + 35*y**4\/3 - 40*y**3 - 861*y**2. Determine i so that u(i) = 0.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -610 - -320. Calculate the remainder when 5\/(-20) + z\/(-8) is divided by (-18)\/(-6) + 10 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 9) + 16 + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3611, 2, -1.\nAnswer: -3611, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 82613 to the power of 1\/2, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 + -82. Does 18 divide (-29 - -77) + (p - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/22))**(-8\/9)*(r**(-11))**(-1\/6))**21 assuming r is positive.\nAnswer: r**(2485\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29708208 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-84.066.\nAnswer: -16.8132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 f, and 1 a when four letters picked without replacement from {f: 4, a: 1, e: 3, j: 5}.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 209\/44 + 3\/12. Suppose 0 = j - l*o - 3583, -3*j - 3*o + 7110 = -3675. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/12, 8, -4?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3247386, -6495033, -9742680, -12990327, -16237974, -19485621?\n\"Answer: -3247647*a + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -160. Does 34 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/7, -3\/2, 0, 3, -1\/4, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 12:30 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*m + 2 + 46*m - 8 + (4*m - 4*m + m)*(4 - 2 + 6) + 0*m + 0*m - 2*m in the form n*m + b and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 7*l**2 + 7*l + 14. Let v be k(-6). Suppose -3*p + v = 5*s + 18, -3*p = -3*s - 6. Solve 2*f - 5 - 3 = p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**3 - 6*g**2 - g. Let w be c(-9). Let n = 2 + w. Is 22 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/135*5)\/(48\/108).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0211761231 rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 195 + -197. Let n(y) = -y - 1. Let v(d) = 4. Let x(f) = -4*n(f) - v(f). Calculate x(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -40*i + 35*i - 28, 4*b = -i - 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/((-210)\/(-60)). Let f = -1.4 - 3.6. Which is the fourth biggest value? (a) -0.1 (b) g (c) -3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 801 + -1567\/2. Let v = 954\/29 - 19289\/522. Calculate the common denominator of v and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**3 + 23*v**2 - 322*v - 1670. Calculate c(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 + -67. Find the third derivative of -30*x**4 + 2233*x**3 - 39*x**w - 2233*x**3 wrt x.\nAnswer: -720*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -227*s - 1. Let k be h(-10). Let n = k + -747. Suppose -7*l + 137 = -n. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 117 + -7 + (-6 - 2) + -9?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 305986382?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360 = -2*q - 7*r - 54*r, 2*q - 12 = 4*r + 5 + 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/3 + 54*t**3 + 1400*t**2 + 29792*t\/3 - 43904 = 0. What is t?\nAnswer: -28, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 + -82. What is the nearest to 0.2 in 2\/7, -1\/4, p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 497*t**2 - 2*t - 2. Let f(x) = -874717*x**2 + 3521*x + 3521. Calculate 2*f(w) + 3521*j(w).\nAnswer: 503*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecfeyvf. What is prob of sequence vefc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let k(m) be the second derivative of m**7\/2520 + 5*m**4\/12 - 5*m. Let r(p) be the third derivative of k(p). Give a(r(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-140)\/(-18))\/2 + 505 + -509.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691976131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 29?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -340 - -370.3. Round d to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, -5, -33 in ascending order.\nAnswer: -33, -5, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by 3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 - 118.6. Let f = 12 + o. Let d be 1\/7 - 0\/3. Which is the third biggest value? (a) f (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(143)\/(sqrt(22)\/sqrt(2)))**2 + -1 + (4*sqrt(1053) + sqrt(13))**2 + 5.\nAnswer: 17811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/180*(-18)\/60\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 11*j**2 + 2. Let k be i(-11). Solve -k*u = 4*o + 8 + 12, 4*u - o = -13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.47.\nAnswer: -1.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -4*p**5\/5 - 19*p**4 - 68*p**3 - 98*p**2 - 64*p + 59. Factor k(n).\nAnswer: -4*(n + 1)**3*(n + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97389864 divided by 1352637?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128 - -130. Solve -u + 11 = 3*p, 3*p + y*p + 2*u = 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121102121000 + -111101?\nAnswer: -121110002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -182*p**3 + 20*p**2 + 16*p - 4. Calculate the smallest common multiple of f(-1) and 234.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 130*y**2 - 1251*y + 2. What is f(10)?\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(308)\/(-2*sqrt(1100)))\/(2*sqrt(1936)))**2.\nAnswer: 7\/774400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oolnoollloooolollo?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, q: 12}. Give prob of sequence qqaq.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -23936 = -l - 58*l - 22992 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121902903 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -977 divided by 792?\nAnswer: -977\/792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a century in months?\nAnswer: 20100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.41756112 to 5 decimal places.\nAnswer: -0.41756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 366 = 4*n, -208 - 272 = -5*n + 5*w. Calculate the remainder when 362 is divided by n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t. Let i(g) = 6*g**2 - 3*g**2 + 25 - 48. Give z(i(f)).\nAnswer: -6*f**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - 110 - (-45 - 11)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41\/4 or -6497?\nAnswer: -6497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*3*20\/(-90)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234102375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liifiaafllfpiliafllf. What is prob of picking 1 a and 1 i?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (3\/(-1) - 0). Let v = -2427667\/17647 - 8\/2521. Let x = v - -137. What is the closest to -1\/4 in x, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 7*a**3 + 18*a**2 + 8*a + 14. Give z(-6).\nAnswer: -898","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -13*v + 34. Suppose -3*m - 3*y + 423 = 0, -5*m = -v*y + 280 - 1006. What is the least common multiple of m and 180?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(4*(sqrt(245) + 5 + -5))**2.\nAnswer: 3919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*i - 19, 5*i + 110 = -2*r. Let p be 39\/r*(-42)\/14. What is the smallest value in 0.3, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 13\/9 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -261\nAnswer: -26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {w: 1, y: 3, a: 3, p: 6}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 49*h + 1122. Determine p(-22).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 (base 10) in base 13?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20576, 20242, 19692, 18932, 17968?\nAnswer: 16806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 1098 - 1028. Suppose 2*c = 2*x + 706, 5*c - 3*x + 365 = y. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a factor of 54672156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 135 = -24*y. Put y, -3, -4, -2 in ascending order.\nAnswer: y, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3778, 15030, 33784, 60040?\n\"Answer: 3751*t**2 - t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/2)\/(2\/(-336)). Let d = z + 254\/3. Which is the closest to 0.1? (a) -0.5 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33131*u**3 - 50405*u**3 - 16018*u**3 - 46928*u**3 - 66958*u**3.\nAnswer: -147178*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - y - 1 = -0*y, 3*g + 2*y + 4 = 0. Let p be 1\/g*(0 + 2). Let q be p - -1 - 6\/(-6). Solve k - 2*z - 6 = -q*z, 4*k - 5*z = -3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-105)*-3)\/(6\/14).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 8*s**2 - 6*s - 7. Let t be p(4). Let h = -86 - t. Calculate the remainder when 35 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2. Let f(s) = -s**3 + 8*s**2 - 15*s + 2. Let p be f(5). Let h(z) = -2*z**2 + 10*z**p + 46 - 38. Give h(v(n)).\nAnswer: 32*n**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28095 = 8100*u - 2093*u - 272255 for u.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -146504.459 rounded to the nearest 100?\nAnswer: -146500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 27*c - 73. What is h(-6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1396, 1395, 1394, 1393?\n\"Answer: -x + 1397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {p: 2, u: 3, y: 1, q: 3, a: 1, r: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 + 5*x. Let g(z) = z. What is f(w) - 5*g(w)?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (17 - (2 - -21) - 5).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o. Let c(g) = -3495*g**2. Give c(y(i)).\nAnswer: -13980*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + v**2 + 3*v + 1. Let b be q(-2). Let f = -4 + b. Suppose 0 = -5*n + f*n + 12. Is n equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30050 is divided by 4290.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 17894154 a multiple of 1522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 57196003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 1663504?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 41\/27*p**3 + 22\/9*p**4 + 16\/45*p**5 + 65 + 0*p + 5\/18*p**2. Let q(k) = 0. Calculate k.\nAnswer: -5, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -17*x - 52. Let b = 122 - 125. Let a be s(b). Suppose 12 = 4*p + 4. Put p, 0.2, a in decreasing order.\nAnswer: p, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**3\/6 + 3*v**2 - 2*v. Let j be f(-4). Let z(p) = 0*p**j - 3*p**2 + 2*p**2. Let u(d) = 2*d**2. What is u(z(k))?\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 16*j + 66 = 0. Let c(o) = o + 13. Let d be c(j). Let p(l) = 10*l - 6. Let v(w) = -11*w + 7. Let x(h) = 4*p(h) + 3*v(h). Calculate x(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-6)\/t**(-5))\/((t\/t**0)\/t)**32)**(-2\/51))**23 assuming t is positive.\nAnswer: t**(46\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 350 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/78 and 11\/1740.\nAnswer: 22620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -3146?\nAnswer: 1\/1573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1732, 3406, 5110, 6844, 8608?\n\"Answer: 15*k**2 + 1629*k + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 901691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 14086*d**2 - 2*d + 14056*d**2. Let n(i) = 6*i**2. Calculate y(n(l)).\nAnswer: -1080*l**4 - 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*z + 23, v + v + 6 = -3*z. Suppose q = -c + 2*q + 4, -v*c - q + 4 = 0. Let r(i) = i - i - 3*i**c + 4*i**2. Let f(j) = 2*j. Give r(f(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258435926 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 382876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -42. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8226 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -22*k**2. Let a(h) = -6*h + 20*h - 10*h - 3*h. What is i(a(y))?\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/(-11)*(-77)\/(-154)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544*p + 261*p = -54053. Calculate the remainder when p is divided by 51.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 20140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 856582?\nAnswer: 2, 73, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 694378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, -3, -2046 in decreasing order.\nAnswer: -3, -121, -2046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -13. Which is the fourth biggest value? (a) -0.1 (b) -1 (c) -3\/7 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 b when four letters picked without replacement from sbssvssbsssbsss.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*o - o**2 - 3*o)*(0*o + 2*o + 0*o) - 3*o**3 + 9*o**3 + 14*o**3)*(56*o + 25 - 25).\nAnswer: 1008*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4\/11 - 158*x**3 + 254978*x**2\/11 - 253238*x\/11 = 0.\nAnswer: -997, 0, 1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11121 (base 4) to base 9.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -109620 divided by 36\nAnswer: -3045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000085005 to 7 dps.\nAnswer: 0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10*5\/(-2). Let c = 4 - 6. Let p be (16\/(-20))\/(c\/5). Which is bigger: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5877 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(119)*-1)\/(sqrt(252)*-1) - (-1 + 1 + sqrt(68) - (4 + (sqrt(68) - 2*sqrt(68)) + sqrt(68)))**2.\nAnswer: -84 + 101*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3\/2 + 395*h**2\/2 - 2590*h + 4410.\nAnswer: -5*(h - 63)*(h - 14)*(h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i = 8*i + 10218. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32177 - -61278. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 divided by -138.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14545453 (base 6) in base 2?\nAnswer: -1111100111110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 3987, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2145, 6915, 14865, 25995?\nAnswer: 40305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 11*k**2 - 14*k - 12. Let n be u(-10). Let m = -29 + n. Is (-4 - m) + 58 + 4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 + 9828*o**2 - 44 + 84 - 40.\nAnswer: 4*o**3 + 9828*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 8:21 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 + 177. Suppose 172 = 8*k - r. Suppose 0 = -d + 6*w - 3*w + k, -123 = -3*d + 3*w. Is 22 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 736 and 304152?\nAnswer: 1216608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/3 - 16*x - 575\/3.\nAnswer: -(x + 23)*(x + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 1541*d**6\/120 + 297*d**5\/10 - 2*d**2 + 3*d. Find the third derivative of o(f) wrt f.\nAnswer: 9246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1032, 1049, 1066?\n\"Answer: 17*c + 1015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -452654582 - -3.352?\nAnswer: -452654578.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-9))\/((-9)\/108). Let l be (2\/8)\/(6\/(-8)). Which is the nearest to l? (a) 1 (b) m (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*i - 34*i - 28*i + 9*i - 474 = -0*i + 4*m, -4*m + 16 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 6. Let l(c) = -13*c - 31. Let f(x) = -7*x - 16. Let a(d) = 11*f(d) - 6*l(d). Is a(p) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 13152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 840*f + 55. Let t be h(3). What is the highest common factor of t and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -13082*j**2 + 13070*j**2 + 2 - 2. Let i(f) = 213 - 108 - 105 + 18*f. What is i(t(d))?\nAnswer: -216*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72545155*t**2 + 453311966*t?\nAnswer: 145090310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 462717\nAnswer: -4\/462717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-14 - -38)) + 35 + (23 - -1)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370*x - 105 = -365*x. Is ((-1687425)\/12)\/(-5) - x\/(-28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 7 = -7*l + 5*w - 12, 0 = l + 9*w - 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -73*v**2 - v + 3. Let s(r) = r**2 + r. Let z(i) = -m(i) + 2*s(i). List the prime factors of z(1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**2\/2 + 5*y - 1. Suppose -5*w - b - 50 = 0, -4*w - 7 - 33 = -b. Calculate c(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**7\/147 + 2*n**6\/105 - n**4\/21 + n**3\/21 - 2*n + 5. Let k(r) be the first derivative of c(r). Factor k(g).\nAnswer: -2*g*(g - 1)**3*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 93124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1010030 and 329.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12.43 in 2, -0.4, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 96*a**2 + 23*a - 9. Let s(z) = -52*z**2 - 13*z + 5. Let j(f) = -4*k(f) - 7*s(f). Determine j(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 0*b**5 + 71\/42*b**7 + 0*b**2 + 1\/12*b**4 + b + 0*b**6 - b**3 + 100. Find the third derivative of d(j) wrt j.\nAnswer: 4260*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3*(-1)\/(-3))\/1. Let g be i*28*(-12)\/48. Let s(j) = 12*j + 2. List the prime factors of s(g).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*d + 9 = 0, 5*a - d = 13 + 6. Suppose a*c + 0*c = 6. What is the third derivative of s**5 + s**2 - 3*s**c + 0*s**2 wrt s?\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0035054798 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = -0. Let y = 2464 - 2463.9. What is the closest to y in -7\/5, d, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/3382 and -101\/48.\nAnswer: 81168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*j - 318 = -240 + 266 + 580 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 20 = 105, 24*d = 2*h - 8*h - 222 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 11 + 49423*r - 2*r**2 - 49410*r + (2*r - 5*r + r)*(3*r + 4*r - 6*r).\nAnswer: -4*r**2 + 13*r + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/9)\/((-33)\/9)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*j - 1 + (-4 + 2 + 4)*(3*j + j - 2*j) + 3*j + j - 6*j + 4*j - 3*j - 2*j)*(59 - 20 - 27)*(-2 + 6 + 0).\nAnswer: 144*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 2. Let c(g) = 12*g**2 - 2*g + 1. Let d be c(k). Suppose d = 8*t + 15. What is the highest common divisor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*a + 3 = -3, -22 = -i - 5*a. Suppose 2*r = i + 54. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*q - 18 = 0, -s + 0*q + q - 1 = 0. Let d = 3 + -2. Let g = 1 - d. Put s, g, 1 in decreasing order.\nAnswer: s, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**5 + 205*s**4.\nAnswer: 5*s**4*(s + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -2. Suppose 0 = -3*x + s*x - 6. Suppose x*u + 24300000 = -u. What is u rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 103, -4, -5, -2\/233, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17423 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 + -37. Suppose 0 = 2*s - v - 41. Does 27 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 7*l + 2*j + 408, -2*l - 3*j - 267 = 0. Let w = l - -795. List the prime factors of w.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 14*z - 114. Determine g(19).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*1 - sqrt(85))*-6)\/(2*sqrt(180))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 - 5*b**2 + 8*b + 37. What is the remainder when 159 is divided by o(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 57*d**3 - 51*d**2 + 5*d + 6. Let k(j) = 116*j**3 - 103*j**2 + 9*j + 10. Determine -3*k(h) + 5*r(h).\nAnswer: -63*h**3 + 54*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qucz when four letters picked without replacement from {u: 8, q: 1, z: 2, c: 7}.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -772?\nAnswer: -76c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1138 and -651 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.961 - -0.039. Suppose 0*n + 1 = h + 4*n, 5*h - n - 5 = 0. Let f be 22\/2*(-1 + 2)*h. Are f and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 704.6269ml?\nAnswer: 0.7046269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 112022021201111?\nAnswer: 112022021201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 11*d + 1. Let v be i(-11). Suppose 4*p - 3*m - 29 = 0, -2*m - 2*m - 28 = -4*p. Calculate the smallest common multiple of 10 - (v + 7)\/4 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81714237 divided by 3\nAnswer: 27238079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 4*x + x)*(x - 3*x - x) + (3 - 3 + 2*x)*(0 - x + 0).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v + 4*v + v to the form l + c*v and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 - 1535 - 3*k**2 + 17*k + 1504. Calculate o(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3188 = -5*c, -3*c + 3*f + 2016 = 108. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262218547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(7) + (sqrt(7) - -3*(sqrt(28)\/sqrt(4))**2)).\nAnswer: 6*sqrt(7) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(152)*3*4*-6)\/((sqrt(16)*5)\/sqrt(2) - (sqrt(8) + (sqrt(8) - ((sqrt(800)*3 - sqrt(800)) + sqrt(800))))))**2.\nAnswer: 273600\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -63696 = -63698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 3*n + n. Let i = n - -22. Suppose -5*b + 2*b + 48 = 0. What is the lowest common multiple of b and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 8*m**3 + m**2 + m + 1. Suppose 0 = 9*n - 106 + 115. Give p(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0.64728\nAnswer: 4.64728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**5\/5 - 25*t**3\/3 + 281*t**2\/2 + 2*t + 742. Find the second derivative of c(s) wrt s.\nAnswer: -12*s**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*46\/276*-23\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 5*l**2 + 2*l + 2. Let k be m(4). Let s be (1 - 0) + k\/18. Let d = -8 - -13. Put d, -1, s in ascending order.\nAnswer: -1, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-10))\/((-651)\/2480) + (-6)\/(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 + -12. Suppose 0 = -m + 4*m. Let c = 7 + m. What is the greatest common divisor of c and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 9:14 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 21157 + 59546. Does 63 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zznzfzzzzzfzfznzz. Give prob of sequence fnf.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3)*(-2*d - d + d + (-3 + 1 + 1)*(3*d + 0*d - d) + 2*d - 2*d - 3*d).\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 13*j + 24*j)*(3*j - 8*j + 18*j) + 3*j - 2*j**2 + j**2 - 2*j.\nAnswer: 428*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/71 and 31\/5?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60836 + -5193. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221 > -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -6*r + 44. Suppose 3*o - r*v - 37533351 = 8966629, 0 = -v + 5. What is o rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -23028*q. Let x(a) = -a. Determine w(x(p)).\nAnswer: 23028*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20019 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 76120315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9705960 to the nearest integer?\nAnswer: 3115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1626, -3429, -5232?\nAnswer: -7035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14384 by 496.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36617*a - 36844*a = 9307 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9195 is divided by 214.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 2:24 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -119552730 + -1373903305. Let b = v - -1493456052.99999982. Let a = 18 - b. What is a rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 - 25*i**2 - 12*i - 4. Let u be d(-12). Sort u, 8, 4, -2 in descending order.\nAnswer: 8, 4, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -72 and 14.92.\nAnswer: -57.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 285, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-26\/7)*y)\/y**(-12\/5) assuming y is positive.\nAnswer: y**(-11\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49204964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 4:52 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v = 2*q + 28, 2*v + 16 = -2*q. Let f = -1 - 5. Is (-554)\/f - v\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.6 + 3.67. Let f = -0.44 + s. Let w = 7.93 - f. Round w to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 144 - 5?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54695 or 164087\/3?\nAnswer: 54695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3111, 12424, 27947, 49680?\n\"Answer: 3105*q**2 - 2*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201 (base 5) to base 11.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2166835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 - 37*s**2 - 18*s - 42. Calculate q(19).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-4)*36\/21)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-55) + 20322\/990. Let v(l) be the first derivative of 34*l**4 + 6 - 8*l + j*l**5 + 14\/3*l**6 + 64\/3*l**3 - 2*l**2. Solve v(y) = 0 for y.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/6376 and 25\/104?\nAnswer: 82888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 35 + 145 = 5*q, 3*q - 8*q + 3*d + 75 = 0 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-5))\/(1\/(-35)). Suppose 0 = 5*v - x + 4. Suppose 4*h + v*j + 24 = 90, -3*h + 2*j = -39. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*k + 131*k - 42*k + 3*k**3 - 43*k.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 1\/1737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*l + 175 = 5*l, -2*f - l + 65 = 0. Suppose -10*o = -6*o - 40. What is the greatest common divisor of o and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 5*p**2 + p + 3. Let o(t) be the third derivative of -t**6\/120 - t**5\/10 - 2*t**3\/3 + t**2. Let j be o(-6). Does 8 divide x(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21470783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 4648.\nAnswer: 4644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.2, 91, -0.039?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -64. Let u = c + 53. Suppose 42110 = 5*n - 0*z - 3*z, z + u = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s - 28 = -156 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - 19. Let r = n - -49. Calculate the remainder when (-1 - -7)*121\/22 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43930322.\nAnswer: 2, 23, 37, 53, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 136. What is the common denominator of -7\/8 and 4\/16 - k\/60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 50 - 118 = 0. Suppose -5*l + 4*t - 26 = -3*l, 4*l = -5*t. Does 7 divide (z\/(-20))\/((-1)\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -23*i**2. Let n(t) be the first derivative of 33*t**2 + 309. Give n(j(v)).\nAnswer: -1518*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2753*y - 3884*y - 231496 + 42577 = 5866*y for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 152 - 65. Let y be (-18)\/6 + 5 + 1 + s. Suppose 0*g = 5*g - 675. Calculate the highest common divisor of g and y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1483, -1462, -1437, -1408?\nAnswer: -1375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1446 (base 12) to base 5\nAnswer: -33413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -15, -1\/3, -1, 4, 0.0243, -1\/2?\nAnswer: 0.0243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 202557 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 36436 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151 + 911\/6. What is the closest to -0.3 in 0.5, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-360)\/448 + 5 + 384\/(-84).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 14*s**2 - 5*s + 2002. List the prime factors of c(-61).\nAnswer: 54401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 4 - 4)*(0 + 2*x + 0) + (-2*x + 0*x + x)*(-4*x - 37*x - 18*x).\nAnswer: 57*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -89, -3.\nAnswer: -89, -3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) -1\/6 (c) 2\/11 (d) 0.937\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 136, 199, 262, 325?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -531207, -1062468, -1593729, -2124990?\n\"Answer: -531261*i + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, k: 1, j: 6, s: 4, h: 2}. Give prob of sequence jhs.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 146 + (-30 + 21 - 35)\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 5*z - 16 = 0, -5*w + 9*z + 46 = 262 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*u - 45*u = -2376 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-48)\/6 - -1) + -2*17\/34)*-6\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 3*x - 2. Let m = -6 - -3. Let s be i(m). Is (2 - s)\/2 + 19 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45328914*u**3 - 31243706*u.\nAnswer: -271973484*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/5 in 2, -8\/3, -144\/59?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 4:52 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-90)\/4) - (-48348299)\/375910980.\nAnswer: -1\/212","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 165?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 4 + 1 + 4 - 2 + s**3 + 3*s**2 to r*s + y*s**3 + m*s**2 + d and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23\/145 - -7\/29. What is the second biggest value in 7\/2, -5, -0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -392 and -0.207.\nAnswer: -392.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 5*z**2 - 4*z - 8. Give m(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 201314512 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: What is (25 - 11 - -2) + -8 + -33 - (-2 - -11)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - 56. Solve 0*n + 5*n - 2*u - 7 = 0, -5*u = -v*n - 14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.6 + -3. Let i be -8*(1\/4)\/((-8)\/16). Put i, -1, n, 2 in descending order.\nAnswer: i, 2, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9\/p**(-6\/5))\/((p\/p**0)\/p*p*p)**(-9) assuming p is positive.\nAnswer: p**(141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1208.6588 + -1207.7. What is n rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + -22527.49827?\nAnswer: -22583.49827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**2 + 6. Suppose h - s - 16 = -4*s, 5*h - s = 16. Let g(i) = i**2 - 1. Give h*g(y) + c(y).\nAnswer: -y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/72338 and 52\/542535?\nAnswer: 1085070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/36, 3, 1.324, 0.3, -11, 0.1?\nAnswer: 1.324","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -206*u + 652. Calculate x(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53 + -2 - (-38 + 55 + -7)) + -2?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -2*g - 13, -272*d + 2*g + 4 = -268*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1192 divide 1827266864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -31*u**2 + 145*u + 2. Let t(o) = 14*o**2 - 72*o - 1. Determine -5*j(h) - 11*t(h).\nAnswer: h**2 + 67*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 7*g + 148 - 193. Let q = 23 + -20. Sort -3, -1, g, q in descending order.\nAnswer: g, q, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 25915703 = -16237700 - 10605497. What is t rounded to the nearest one hundred thousand?\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13667 + -14?\nAnswer: 13653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -4.976022\nAnswer: -4.476022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(324)*-2 + sqrt(324))\/(sqrt(18)\/sqrt(2)*3))\/((-1*sqrt(144)*-6)\/(3*(sqrt(192) - sqrt(12)))).\nAnswer: -9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*t = 18, -b - 323*t = -326*t + 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13499 is divided by 44?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3737960 and 184?\nAnswer: 3737960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = -16*j - 56 + 308 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 4*i + 3. Let v be (58\/(-29))\/((-1)\/7). Suppose -3*p + 8 = 4*n - v, p = 3*n + 3. Determine o(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161439091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**6\/660 - 7*l**5\/330 - 5*l**4\/66 + 157*l**2. Factor q(t).\nAnswer: -2*t*(t + 2)*(t + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37925 or -48442?\nAnswer: -48442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v + v - 1746*v**2 - 4*v.\nAnswer: -1746*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2264793 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32.76 + 32. Let v = a + 0.26. Let p be -2 + (-2)\/(-20)*28. Sort v, p, 2\/11 in increasing order.\nAnswer: v, 2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2472 - 1594. Let j = k + -878.6. Which is the closest to 0.2? (a) -1 (b) -3 (c) -0.5 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 837 - 5853\/7. Factor r*c**2 + 0*c - 3\/7*c**3 + 0.\nAnswer: -3*c**2*(c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54412073657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2b45 (base 15) to base 5\nAnswer: 244130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4149139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -21\/2. Let r(j) = j**3 + 3*j**2 + 3*j + 4. Let z be r(-3). Let b be (z - -3 - -2)\/(-3). Is b at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 606, 2053, 3776, 5211, 5794, 4961, 2148?\n\"Answer: -94*s**3 + 702*s**2 - s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-204375)\/(-381500)*2\/(((-4)\/7)\/(-1))?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-1)*m*m\/(m\/(m\/(m**0*m)*m*m)*m))\/(m\/m**(-1\/8)*m**1) assuming m is positive.\nAnswer: m**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 10*s - 42166 + 111846 = 0, -5*s = 4*n - 92815. Does 185 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t + 3 = 0. Suppose t*p - 8 = p. Let c be 1\/1 - 6\/(-1). Solve c*z = p*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/2 - 317*z**2 - 2815*z\/2 + 686409 = 0. What is z?\nAnswer: -626, -51, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from 40319882246.\nAnswer: 40319882238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 151 and 572743.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 412642*k**2. Let s(f) = -1739*f. What is s(q(y))?\nAnswer: -717584438*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 11) to base 10\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48002.\nAnswer: 2, 24001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + w + 14 - 5, 2*l = 3*w + 15. Suppose 5*p + 25 = 0, 0 = 11*b - 13*b + l*p + 1589. What are the prime factors of b?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 100, 4, 0 in descending order.\nAnswer: 100, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 7*z - 4. Let u = 8 - 5. Suppose -3*f - 3 = -u*p, 3*f + 2*p + 28 = -f. Calculate t(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34 or -72?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136924 is divided by 12443.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (1 - -2) + -4. Suppose k*b - 10 - 30 = -n, -n + 43 = 4*b. List the prime factors of n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = 18*t - 2368. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*d - 1. What is the least common multiple of 4 and (-4)\/12*(d - 30)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + v - 5, -3 = b + 2*v - 7*v. Suppose -b*z = 4*z. Suppose 0*w**3 + z + 1\/8*w**4 + 0*w - 1\/8*w**2 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 50 = -5*b, 1 = 2*b + 5*m + 2. Solve -67*v - b = -64*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**5 - 4816*j**4 + 41*j**3 + 293*j**2 + 4832*j + 1 wrt j?\nAnswer: 240*j**2 - 115584*j + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17892 + 17894. Suppose -3*q**3 - 4*q**j + 9\/2 - 1\/2*q**4 + 3*q = 0. What is q?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12686800 divided by -253736.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**2 - 3*w + 0*w - 18*w**2.\nAnswer: -30*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -3*z - 8. Suppose 3*o - 5*o = -z. What are the prime factors of o - (0 + 1) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93367310 and 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g + 642330 = 37*g. What are the prime factors of g?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u - 1. Let j(a) be the first derivative of -a**2 + 3881. Determine 6*f(s) + 13*j(s).\nAnswer: -2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 2*a**2 + 3*a - 3. Let c be r(3). What is the remainder when 2 is divided by 2 - (0 - (c - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22.7 + -23. What is the closest to -0.1 in -3, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -87 - 8732?\nAnswer: -8830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**3 + 2*k - 3. Let i(v) = -v**3 - v + 1. What is -2*i(f) - m(f)?\nAnswer: -f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s**(-3\/5)*s*s)*s**(3\/5)*s\/s**(-1\/2)*s\/(s*s*s\/s**(1\/24)) assuming s is positive.\nAnswer: s**(89\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.443 - 0.143. Which is the nearest to -2\/5? (a) 2\/7 (b) y (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/53)\/(z\/(z**15\/z*z))*(z\/z**(-7))**(-4\/15))**39 assuming z is positive.\nAnswer: z**(123032\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18367\/4 + -4615. Suppose 0 = -5*o + 11 - 116. Find the common denominator of y and (-6)\/o - (-471)\/(-56).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*q*s*u**2 - 1799*q*s*u - q*u**2 - q*u - q + s*u + 30*u**2 - 2 wrt u?\nAnswer: 156*q*s - 2*q + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15213788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17095 + 1350526\/79. Find the common denominator of -49\/10 and b.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eooe when four letters picked without replacement from {o: 5, e: 9}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, t: 7}. What is prob of sequence tm?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**5\/210 + b**4\/6 - 13*b**3\/21 - 98*b**2 - 2*b + 253. Let x(h) be the second derivative of t(h). Let x(d) = 0. Calculate d.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 + 456 = v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 + 107*a**2 + 70*a + 978. Calculate g(-53).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/11 (b) -8 (c) -0.4 (d) -5\/4 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.23 - -8.77. Let w = -15 + m. Let p = w + 5. What is the second smallest value in -3, -2\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 26*d + 391 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 9*c + 18. Suppose 33*y - 14*y = 76. Let w be m(y). Let s(n) = -n**3 + 15*n**2 - 14*n + 6. Determine s(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 5*m**8\/84 - 332*m**7\/105 + 218*m**6\/5 + 238*m**5\/3 - 289*m**4\/6 - 2*m**2 + 3105*m. Solve p(i) = 0.\nAnswer: -1, 0, 1\/5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-8)*-4 + -3. Let x = -10 - q. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.09, -1\/2, -3, -1\/43, 0.13, -9\/2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-5))\/((-2)\/(-5)). Suppose -3*z - 5*q = -38, z + 8 - 2 = 3*q. Solve -z = 2*c + 2*v + 2*v, 5*c + 21 = -s*v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j + 5*j + 21*j - j**2.\nAnswer: -j**2 + 35*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33193 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -257398, -514790, -772180, -1029568?\n\"Answer: q**2 - 257395*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*u**2 + 29*u**2 + 12 + 10 wrt u?\nAnswer: -14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15 - 100*r - 62*r - 23 - 5969*r**2 - 22 + 74 wrt r?\nAnswer: -11938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 186 or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 384 (base 15) in base 8?\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68583 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: Solve 125091*p + 645 = 125220*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhxt when four letters picked without replacement from hbtmtxhb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 269 less than 174339.3?\nAnswer: 174070.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n - 38. Give j(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006708 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 6. Calculate g(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 0*y - 25 = -y, -5*a = -5*y + 45 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 30 = -3*z, 5*z - 2011 = 4*g - 1959 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4125, 4083, 4041?\n\"Answer: -42*d + 4167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111100 - -111101101?\nAnswer: 10110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1*3\/(-1)*(-55)\/33\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38\/7*q + 0 + 1\/7*q**2.\nAnswer: q*(q - 38)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r + 5. Let t(m) = 12*m - 21. Let n(h) = -21*s(h) - 5*t(h). Let u be n(5). Solve 4*b + b = -u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/43)\/(f**(-2)\/f))\/((f*f**(-1\/4))\/((((f**(-5\/6)*f)\/f)\/f)\/f)) assuming f is positive.\nAnswer: f**(-277\/516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1348512 and 234968?\nAnswer: 31015776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*q - i + 3, 0 = 2*q + i - 11. Let a be (6 + -51)*q\/(-5). What is the greatest common divisor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.27 + -22.6. Let m = -659 + 659.287. Let i = m + q. What is i rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y**(1\/56)\/y)))\/y**30)\/(y**11*y*y\/(((((y**(2\/9)\/y)\/y)\/y)\/y)\/y)) assuming y is positive.\nAnswer: y**(-24575\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8119 + 13996. What is the highest common divisor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0 + 6. Suppose 0 = -m*d + d + 5. Let v = -585\/7 - -84. Is d at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 382, -1, -3, -2151?\nAnswer: 382","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6)*3\/2. Let n be -3*((-1005)\/9)\/b. Let f = 598 + n. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -2\/21 (c) 12 (d) -2\/3 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/13)*w*w**(2\/13)\/w assuming w is positive.\nAnswer: w**(-1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21100 or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3472 (base 10) to base 6\nAnswer: -24024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 962220453 a multiple of 717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x**(8\/7))\/x))\/(x\/(x\/x**(-9\/2))))\/(x\/(((x*x**(-6\/13))\/x)\/x)*x**(-2\/65)*x) assuming x is positive.\nAnswer: x**(843\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*q = 23*q - 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 8*f**2 - f - 41. Let u be j(-7). Let z(d) = 15*d. Let c be z(3). Calculate the highest common factor of c and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 14*t**2 - 4*t + 11. Let o be a(-14). Suppose 4*p + 3*q = 76, 2*q = -3*p + o - 10. Solve -3*l - 4*x = -27, -2*l + p = 3*l - 2*x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at most 135\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*r + 16 = 0, -47*m - 5*r - 26 = -46*m. Let a(p) = p**3 + 5*p**2 - 6*p - 8. Give a(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*s + 173*s + 90 = 67*s + 57*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 18 - 5*o + 2*o + 2*o. Let f be p(17). What is the smallest value in f, -4, 1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -625.335 + 625.4. Which is bigger: -2.6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12440 + -37318\/3. Let m be ((-6)\/(-19))\/((-3)\/(-2)). Let u = 2\/171 + m. Which is greater: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w - 22348 = -21646 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -6 - -37 - (201 + -197).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32364 and 1109583?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g + 3*i + 3 = 0, 2*g - 3*i - 39 = 0. What is the smallest common multiple of 244 and g?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*t - 1, 0 = -3*i - 2*t + 3*t + 24. Find the common denominator of 2 + 1\/(8\/i) and 49\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v + 10*v + 3*v**4 + 3*v**2 - 2 - 3*v - 2*v**3 - v**4 to the form k + y*v**4 + g*v**3 + n*v**2 + h*v and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8888 divided by -23702\nAnswer: 4444\/11851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 22. Let c = 10 + -8. What is the closest to c in 0.2, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**0*r\/r**(-1\/2)*r**(-1\/2)\/(r*r\/(r\/r**7)*r)*r**(-3)*r*r\/r**(-1)*(r*r\/r**(-2\/3)*r)\/r*r*r*(r*r*r\/(r\/r**(-5\/4)))\/r assuming r is positive.\nAnswer: r**(-43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 4, 0.4, -43\/5388?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y - 54*y + 4*y = -1785014. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -52 + 53. Sort -3, l, 3 in descending order.\nAnswer: 3, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*w**2 + 19*w**2 - 29*w**2.\nAnswer: 131*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 32*t + 16. Let b(m) = 27*m + 12. Let q(o) = -4*b(o) + 3*v(o). Let h(d) = 2*d**2 - 8. Let n(i) = 1. Let l(j) = -3*h(j) - 24*n(j). Calculate q(l(r)).\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66885)\/(-525) - 64 - 75.\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*k - 45*k - 45*k - 30*k - 39*k - 2*k**2 - 41*k.\nAnswer: -2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 423713962 a multiple of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006561267967 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54\/5 less than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3846, 9, -2, 0.2, -3\/4, 0.7?\nAnswer: -3846","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 547\/4 at least 136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**3 + 1023*a**2 - 7215*a - 35. What is y(7)?\nAnswer: 959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -13 + 6 - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**3 + 4*k**2 - 535*k + 1553. What is t(3)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + 8 + 12 + -9 + -32.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 137121*q - 274230.\nAnswer: -3*(q - 45705)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20102201 - 11000?\nAnswer: -20120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1495*t + 39100 = 645*t for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/409 and 33\/577.\nAnswer: 235993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 5\/((-5)\/4). Which is smaller: f or 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/((-99)\/12) - (-4130)\/210. Let l = 8 - 6. Solve -3*p - c = -6, 3*c = -l*p + 6*p - h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -27 + 7, 0 = -o + 4*g + 33. Solve -4*w = q + 15, -18*q = -o*q - w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/39 + (-816)\/(-2184)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + -1)*3 + (sqrt(252)*1 + -5)**2 + sqrt(252).\nAnswer: -36*sqrt(7) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -30089002128 - -1\nAnswer: -30089002127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -1370713?\nAnswer: -2741426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -0.5, 5, -330, 2\/5, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z - 36 = 31*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6423 - 301*o + 3216 + 10*o**2 + 3207 as l*o**2 + g*o + b and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4894590 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 4*v + 4*v)*(-354*v**2 + 0*v + 425*v**2 + 62*v + 55 - 72*v**2).\nAnswer: 2*v**3 - 124*v**2 - 110*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 122416 divided by -1093\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - p - 51 = 0, 3*c + 2*c + 3*p = -53. Let j be 26\/6 + c\/(-15). Round j to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 = 2. Let x(f) = -5 + 18 + c + f**2 - 16*f. What is the remainder when x(17) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 7*w + 32. Suppose 0 = -t - t - w*l - 8, -t - 4*l - 10 = 0. Solve 1 - 11 = -h + 5*f, 4*h - t*f - 22 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 2:37 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*a - 2*p, -4*p + 8*p = -12. Suppose 0 = -d - 3*d + 12. Suppose 0 = -4*t - 4*y + 36, d*y - 4 = 3*t - 1. Put t, a, 5 in decreasing order.\nAnswer: 5, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1534)\/(-30) + 8\/(-60). Suppose l*d = 50*d + 339707. Let w = d + -231707. What is w rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/108700 and 53\/2500.\nAnswer: 2717500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 16 = 5*a, -1210*a = -y - 1215*a - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2595532, 4, -3 in increasing order.\nAnswer: -3, 4, 2595532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/49 + (-268)\/(-7). Let i(g) = g + 1. Let c be i(2). Suppose q + 100 = c*f. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f = -80*f + 2145. Suppose -9*q + 1920 = f*q. Calculate the least common multiple of q and 104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/8)\/((-7)\/(-28)). Let c be (9\/(-2))\/(o\/8). Suppose 7*n = 3*n + c. Solve -4*p + 21 = -5*b, -p + n*b + 1 = -13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-5) + -1 + ((-36096)\/320 - -86)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -588.767055 and -0.511.\nAnswer: -589.278055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -3, 0.007 in increasing order.\nAnswer: -3, -1\/2, 0.007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*r + 6 - 72 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 - ((0 - 19) + -3)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*o + 24*o + 26*o + 23*o - 87*o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -466.0517 * 15.\nAnswer: -6990.7755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + 1028a?\nAnswer: 10283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/60 + 7*n**4\/24 + n**3\/3 + 3*n**2. Let b be d(-7). Suppose 2*y + b*y - 140 = 0. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 32211108244436\nAnswer: 32211108244430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6085 is divided by 5259?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*j - 751*j + 34299 = 0 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65812387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 + 52 - 2*i**4 + (-6487 + 6487 - 60*i**4)*(0 + 0 + 3))*(2*i - 1 + 1).\nAnswer: -364*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2260573 is divided by 1386.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189613 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16695375 divided by -3165.\nAnswer: 5275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*c = n + 40, 2*c = -n + 5. Suppose s - n - 56 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 - 280 = 19*l for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(112)*1 + 1)**2 + 0)*5.\nAnswer: 120*sqrt(7) + 1695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*q - 3*l + 8*l, q - l - 11 = 0. Let t(p) = -p**3 + 6*p**2 - 2. Let n be t(q). What is the units digit of (16\/(-12)*3)\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 4)*(p + 0*p - 2*p)*(-17*p**3 - 15*p**3 - p**3) to the form i + k*p + d*p**2 + c*p**3 + m*p**4 and give m.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41, 88, 135, 182, 229?\n\"Answer: 47*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/7, -1\/26, -7, -2\/7 in descending order.\nAnswer: 2, 2\/7, -1\/26, -2\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 1 - z - 5 + 5. Let o(l) = 2*l - 2. Let h(u) = -11*u + 6. Let w(r) = -h(r) - 5*o(r). Calculate -7*q(x) - 2*w(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121331 - -1?\nAnswer: 121332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/80 and -43\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-3)\/198*-3\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76548381.\nAnswer: 3, 7, 13, 21569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h. Let w(c) = 3*c. Let b(l) = -2*l**2 - 14*l - 3. Let y be b(-6). What is y*q(v) - 2*w(v)?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f + 13. Let d(n) = n. Let r(g) = b(g) - 3*d(g). Let o be r(9). Solve o*l - 5 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Let w be ((-1)\/z)\/((-3)\/(-24)). Let k(i) be the first derivative of -i**2 - i - 51. What is k(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n + 4 = 0. Suppose -4*m = -m - 4*t - 12, t + 3 = 0. Suppose m = n*q - 3*q. Solve q*c = -2*c - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 805356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 583 and 1219?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -731 + 483. Let l = y - -392. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -10*q + 35. Calculate the remainder when 581 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -1 + 624*z**2 + 75*z**2 + 730*z**2 - 111*z**2 - 8*z. Is c(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, e: 8, m: 5, l: 2, b: 1}. Give prob of sequence mb.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2. Suppose 2 = -4*y - h, 2*y + 3*h + 5 = -1. Let c(q) = -2*q - 2*q + 2*q + y*q. What is r(c(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(((-3)\/(-4)*(-1)\/3)\/((-403)\/(-403))).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -15548?\nAnswer: 2\/3887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374 - 4*u**3 + 750 - 376.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + (-4)\/(-6))*-489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*w = 5*h + 122*w - 21, -w - 21 = -4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*((sqrt(128)*-3*2)**2 - -5*(-1 + sqrt(128))).\nAnswer: -4603 - 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -6. Suppose -h - 3*q - 5 = 4, 8 = -2*h - q. Let f = h + b. Solve 6 = 5*u - f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2363385900?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 16 = -4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*l + 24, -q = -3*q - 3*l - 11. Solve 2*t + 1 = -y + 2, t + 3*y = -q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (72\/(-5))\/(33\/110). Let a be w\/(-3)*(23877 - 2). Suppose q + q - a = 0. What is q rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.5 + 3. Let o = -0.8 + 0.8. Let h = 0.1 + o. What is the biggest value in g, h, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15\/122 + -38\/61. Put -4, -0.1, 13, i in increasing order.\nAnswer: -4, i, -0.1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*b - 16, 2*b - 4*z + 2 = -0. Suppose a - 17 = -n, -4*n - 50 = -b*a + 15. What is the remainder when (-1452)\/(-26) - 18\/(-117) is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2686 or -2688?\nAnswer: -2688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -3*f, 4*w = -5*f + 6 - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133 and 531973400?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 115 or 323304\/11?\nAnswer: 323304\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/2616 and 71\/2520.\nAnswer: 274680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2) + -1))**2*5.\nAnswer: -360*sqrt(2) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*i**2)*(2*i**3 + 1 - 1) + 3*i**5 - 4*i**5 + 0*i**5 + 48*i**5 - 36*i**5 - 36*i**5.\nAnswer: -29*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11657 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 840503, 1, 2, -4 in decreasing order.\nAnswer: 840503, 4, 2, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*l, 5*q - 4*l + 5*l + 662 = 0. What is q rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, -2, 3, -7 in descending order.\nAnswer: 3, -2, -5, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**5\/12 - 5*i**4\/8 + 10*i**3\/3 - 11*i**2 - 4*i. Factor v(c).\nAnswer: -5*(c - 1)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2417282106?\nAnswer: 2, 3, 19, 23, 251, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h*h\/(h*(h\/(h**(-3\/16)*h))\/h))\/h)*h*h**(-25)*h*h**27*h\/(h*h**(2\/5)) assuming h is positive.\nAnswer: h**(303\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2. Let o = 0 + 9. Let s(r) = -15*r + 3*r + o*r. Determine k(s(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2*p + 16 = -367*i + 362*i, 5*i + 79 = -4*p for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*k**4 + 108*k**3 + 2*k**2 - 82194*k?\nAnswer: -228*k**2 + 648*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-175))\/(((-3)\/(-6))\/1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 10:07 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250*-0.076744.\nAnswer: -19.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5676904 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 166, 0.04, -3, 0.2, 2\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -1541 (c) -4 (d) 13\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83880 = 3*m - 83889 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6361b35 - 6?\nAnswer: -6361b3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 325540 (base 6) to base 3\nAnswer: 1101022120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -107 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*q**2 - 1 - 245*q**2 + 668*q**2 - 198*q**2 + 1.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 5*i + 11 - 19 to k + q*i and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/6 - (-51)\/9. Suppose 3*y - z*y - 7 = -2*r, -y - 19 = -4*r. Suppose -r*u + 66 = c, 2*c = -4*u + 74 - 26. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -13226*n**3 - 399*n**2 - 805*n - 5. Is g(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4770, 4306, 3854, 3420, 3010, 2630, 2286?\nAnswer: 1984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -19.9. Which is the nearest to u? (a) 18 (b) 0 (c) -0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -314*j - 509.\nAnswer: -314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7151, -7152, -7153, -7154, -7155, -7156?\n\"Answer: -y - 7150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -208 + 208 + 3*j**4 - 3*j**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (9 + -3 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i**2 - 488*i + 197. What is j(-98)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412899505?\nAnswer: 5, 137, 602773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40337 - 25568. List the prime factors of c.\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 1, 18, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -46286, -92604, -138922, -185240?\n\"Answer: -46318*m + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 36*r**2 + 73*r + 173. Let k be v(-34). Let m = 167 - -125. Suppose 1469 = k*d - m. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -1 - 8. Suppose -h*m - 1 + 35 = s, 2*s - 44 = 2*m. Let d = s - 15. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 47*g**2 - 5*g + 2. Let s(d) = d**2 - d. Let c(u) = o(u) - 4*s(u). What is the units digit of c(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5057*j = -5041*j - 64 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 905381 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17, -5, 9, -1\/6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (-8)\/(-2)) + 9. Let y(r) = 3*r + 18. What is the tens digit of y(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 10.167 (b) -0.3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 15*s**3 - 3*s**2 + 2*s + 4. Let p be x(3). Suppose -5*h + p = 25688. Round h to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4)*(6 - 6) + 1. Let g(y) be the first derivative of -2*y - h + 1\/2*y**2. What is the derivative of g(b) wrt b?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1485, -6960, -16085, -28860, -45285, -65360?\n\"Answer: -1825*p**2 + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/6721, 4, -4, 1, -3\/2 in descending order.\nAnswer: 4, 1, -2\/6721, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17530*s - 17541*s + 132. Solve r + 4*a = s, -r + 93*a = 95*a - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*l + 2*l = -17, -l + 11 = 5*y. Let s be (-12)\/42 - 32\/(-14). Determine f, given that y*f + 7\/3*f**3 - 1\/3*f**4 + 0 - 5*f**s = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*d**2 + 7 - 7)*(0 + 1 + 0) + (3*d - 4*d + 0*d)*(-d - 1 + 1) to u + q*d + y*d**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r - 26. Calculate m(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*z + 3*g, 2*z + 0*g + 2*g = -4. Let f = 65 - 21. Let k be -3 - (2 - f\/12). Which is smaller: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-320)\/(-24)*6\/4)\/1. Solve l - 11*l = -t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*(-4)\/(-2)*(2516\/(-255))\/(-148)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 19, 23, 25, 25, 23, 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = 0, -2*z + m = -6*z + 95. Solve 0 = 3*h - 3*d - 15, 3*h + 8 = 2*d + z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*1*sqrt(363).\nAnswer: -33*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c = -0 - 30 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220023231222 (base 4) to base 16.\nAnswer: -a0bb6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -6454.\nAnswer: -6453.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 876771.5nm in centimeters?\nAnswer: 0.08767715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -96.\nAnswer: -38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 287029552 to the power of 1\/2, to the nearest integer?\nAnswer: 16942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 292*u**2 - u + 435. Let r(o) = -39*o**2 - 62. Calculate 2*b(v) + 15*r(v).\nAnswer: -v**2 - 2*v - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/8*(-2)\/(-12)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/4230 and -89\/22560.\nAnswer: 67680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7311210.\nAnswer: 2, 3, 5, 243707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 171, 2, -1, 0.4 in descending order.\nAnswer: 171, 2, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -298, -296, -294, -292, -290?\n\"Answer: 2*d - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-10))\/(775\/8060).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 15. Let c be (-1)\/(11\/g + -3). Suppose -j + c*j = 60. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 0 - 6 - ((91 - 113) + (-2 - 47))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uouc when four letters picked without replacement from uocouc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 147*y**5\/2 - 24661*y**4\/2 - 27938*y**3 - 4608*y**2 + 3056*y + 680 = 0.\nAnswer: -2, -2\/7, 1\/3, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 27 = 5*m - 1, -o + 4*m = -19. Let s be 39\/24 - (-1 + o)*-1. Which is the nearest to -1\/4? (a) 6 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -21. Let x = f - -8. Solve x + 20 = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j + 6. Let y(z) = -z**2 - 10*z + 3. Let k be y(-10). Let l(t) = 2*t + 4 - k + 3. Determine -7*l(m) + 5*v(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62741168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-2))\/(7 + (-80)\/12)*330\/231.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 577*c**2 - 41 + 37 + 4.\nAnswer: 577*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 - -80.0654. Let b = w + -0.0047. What is b rounded to three decimal places?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 50 and -4.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*z = 8, -4*s = -0*s + 3*z - 15. Let k be 9*s*3\/27. Suppose 5*p - l = 15, -2*p = k*p + 5*l + 15. Is p at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilogram in grams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 67604188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 680*c - 662*c = -342 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0, 0.2, 28\/3, -0.491, -1\/2, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 345 + -304. Put 4, t, 3 in decreasing order.\nAnswer: t, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28474476 + -0.0762785?\nAnswer: 28474475.9237215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 16\/5)\/((84\/(-460))\/(-21)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-112)*-9*(-12)\/(-30))\/(-6).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*j - 50 = -6*d, 37 = 4*d - j. Suppose 10*y = 7*y + d. Suppose 93 = 3*l + y*s, -l - 5*s + 13 = 2. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1023 + 1071*c**3 - 4640*c**2 + 1056*c**4 + 739*c**3 - 64*c**5 + 1884*c + 170*c**3 - 1239 = 0 for c.\nAnswer: -3, 1\/4, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1 - g**2)*(0*g + 2*g - 4*g)*(40*g + 0*g + 41*g).\nAnswer: 162*g**4 - 486*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(88)\/(sqrt(72)\/(-1*sqrt(9))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -19*r + 0*r**3 + 0*r**4 + 31\/60*r**5 + 0 + r**2. Let s(n) = -4*n**2. Determine s(i(l)).\nAnswer: -3844*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -6, 38, -7, 82, -5, -4 in decreasing order.\nAnswer: 82, 38, 12, -4, -5, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 = -v - 3*g - 252, -4*v - 5*g = -113. Calculate the remainder when 4510 is divided by v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -29, -26, -11?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c*c*c\/c**(-4))*c\/c**(1\/11) assuming c is positive.\nAnswer: c**(-67\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-18)*w*w*(w\/w**(-1\/12))\/w*w)\/(w*w*(w*w**8)\/w*w)**(-42))**(17\/6) assuming w is positive.\nAnswer: w**(91205\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 354258 take away 1913?\nAnswer: 352345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 462834\/7 - 65855. Let v = 513\/2 - y. Find the common denominator of (30\/1)\/(28\/3) and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than 93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7140291817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2 + 5 - 14*n + 4 + 2*n. Let f(g) = -4*g + 2. Determine 7*f(h) - 2*p(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -1 - 2. Let s(a) = -7*a**2 - a + 2. Let n be s(l). Sort -2, n, 2.\nAnswer: n, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l - 2*l)*(32*l**4 + 4*l**4 + 22*l**4) + (-2*l**2 - l**3 + 2*l**2)*(3*l**2 - 2*l**2 - 2*l**2).\nAnswer: -57*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25839\/45*(-8)\/(-6)*5. Suppose j - 4*w = 893, -4*j - 2*w - 274 = -l. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19989\/5 bigger than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.04861319 to 1 dp.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 658035 and 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u - 5 = 0. Let o be 1\/2 + (-2)\/4. Suppose 20 = f + u*p - 7, o = f - 5*p + 23. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1072446318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-7*2295\/(-10710).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 407612*-13.\nAnswer: -5298956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*u + 3*u + 59*u)*(0*u**4 + 3*u**4 - 2*u**4 + (u + u - u)*(-1 + 1 + u**3)).\nAnswer: 82*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 8:08 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/2 + 1309685*q**2\/2 - 214408367636*q - 643230996504 = 0. Calculate q.\nAnswer: -3, 654844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*o = -41*o - 1538483. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4274583 is divided by 474950.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -20222112200?\nAnswer: -20222112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w - 368 = 5*p, -2*p + 0*p - 12*w + 8*w - 15 = 41 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*c + 103*c**2 - 48*c**3 - 115*c**2 + 55*c**3 + 2*c as b*c**2 + x*c**3 + z*c + j and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 26*y + 21. Determine c(13).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, d: 11}. Give prob of picking 1 d and 1 i.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296000?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 530\/771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-12)\/60)\/(4\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 - 2.99. Let u = -3 - q. Sort u, 3, -5 in decreasing order.\nAnswer: 3, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7194461 rounded to the nearest one hundred thousand?\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004478138 rounded to 6 dps?\nAnswer: 0.004478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11658032?\nAnswer: 2, 728627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*g**4 + 37*g**4 + 59*g - 31*g**4 + (-4*g**2 + g**2 + 5*g**2)*(0*g**2 + 3*g**2 - 5*g**2).\nAnswer: -9*g**4 + 59*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*m - 8, 20*p - 5*m = 16*p - 15. Let g be (4 + p)*488\/2. Do g and -245 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -30*g**3 + 25*g**2 + 34*g. Let f(m) = -3*m**2 - 4*m. Calculate 8*f(r) + v(r).\nAnswer: -30*r**3 + r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/5)\/((-40)\/(-50))*8\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84078, 84106, 84134, 84162?\nAnswer: 84190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 9 = -1. Let q(y) = y**2 - 7. Let l(v) = -v**2 + 8. Calculate n*q(r) - 4*l(r).\nAnswer: -r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -10 - 265*z + 256*z + 0*z**2 - z**2. Let h be i(-7). Suppose -85 + 25 = -3*q. Solve -h*t - 4*v - q = -0*t, 1 = -5*t + 3*v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7934882 meters in kilometers?\nAnswer: 0.0007934882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4158)\/(-20 - 22) - 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -173 + 294. Suppose -z + 19 = v, -s = -3*z - z + 5*v. Suppose -x = x - z. Solve -2*d - d = -x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/8 or 4\/15?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178 - 178.31. Is z bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4*v + 14, v = -5*i - v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00024326171 rounded to seven decimal places?\nAnswer: 0.0002433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z - 406 = -490 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 270 - (79 - (-20 - 26))?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 113356?\nAnswer: 113350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiaa when four letters picked without replacement from {a: 3, i: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 27b (base 16) to base 11\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1050 + 0?\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 6:33 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/186 and -71\/5046?\nAnswer: 156426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 22 = -d + 11, 2*m = -d + 25. Solve -8*y = -13*y - 5*t, 4*t + m = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1 - 2*y**2)*(5*y**2 + y**2 - 4*y**2 - 4*y**2 + y**2 + 4*y**2 + (6*y + 37 - 37)*(3 - 3 - y) + 2*y**2 - 3*y**2 - y**2).\nAnswer: 10*y**4 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -6.585\nAnswer: 46.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 318*a - 26571. What is o(83)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -74 in -4, 1, 3\/2, -5, 86?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 8*a + 1. Suppose 0 = -p + 3*t + 2 + 3, 2*p + 10 = 2*t. Does 21 divide d(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 5:09 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.020337816*-5.\nAnswer: 0.10168908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3310111032 - 2?\nAnswer: 3310111030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 2 + 127*r + 0*r**3 + 137\/4*r**4 + 0*r**2. What is the derivative of d(z) wrt z?\nAnswer: 411*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 5. Suppose -2*z + 7*z - 125 = 0. Suppose 2*k + 3*k - z = 0. Is t != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 6 - (12 + -9 + 0). Solve -5*p - k = 3*x - 13, 0 = x - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x + x - 4*x to q*x + u and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 530 or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6, 0, 10, 24, 42?\n\"Answer: 2*c**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 3*w - 1. Let q be o(-4). Let m be 2 + 1 + (-40)\/q + -3. Suppose -3*k - m = -7*k, 5*k = 4*g - 18. Solve c + 4 - g = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2524516 rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -19. Which is bigger: b or 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 10:37 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 10 = g - 2*g - 2*k, 24356*k - 24352*k + 32 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11877780 and 80?\nAnswer: 47511120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -0.1, 0.8 in descending order.\nAnswer: 0.8, -0.1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 22*f**2 - 16*f - 6. Let d be o(-21). Let b = d + 112. Solve -b = -g + 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -88, 0 in descending order.\nAnswer: 0, -11, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -r + 2. Suppose 5*z = q + 126, 5*q = -23*z + 21*z + 18. What is the highest common factor of z and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6857*l + 156543 = -397522 - 31279 + 50498 for l.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 9*q**2 - 3*q. Let y(i) = i + 21. Let k be y(-23). Let z(v) = -4*v**2 + v. Give k*w(h) - 5*z(h).\nAnswer: 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f + 8 + 32 = 0. Let p = f - -7. Solve p - 13 = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6209056.7 rounded to the nearest 100000?\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -187 + -9?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 3 + (3 - 1 - 3)*(-2 - 3 + 4) + 3 - 2 - 2)*(5*s + 3*s - 4*s + (-2*s + 2*s + s)*(-5 + 1 + 3) - 2*s - 1 + 1) as p*s + b and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*u + 68*u + 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**4\/24 + u**3\/2 - 34*u**2. Calculate f(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238380 = -37*v - 21*v. Does 22 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1183488*i**4 - 2019777?\nAnswer: 4733952*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -432*c - 495*c + 926*c + 2. Let p(u) = 1. What is -k(v) + 5*p(v)?\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -26. Let j = -239 - -227. Let m be (z\/j*-3)\/(-1). Solve 0 = -5*s + 18 + m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/817327 or 1?\nAnswer: 3\/817327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 + 84. Suppose -o*f + 11*f = 700000. Round f to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 250*q**5 - 1100*q**4 - 2220*q**3 - 1048*q**2 - 190*q - 12.\nAnswer: 2*(q - 6)*(q + 1)*(5*q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 372*u**3 - 2*u**2 + 3*u - 2. Is l(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 32. Calculate the remainder when n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5304 divided by 102?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10422 + -10420. What is the second biggest value in 74, t, -0.3, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001232187522 to 7 decimal places.\nAnswer: -0.0001232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12113 (base 5) to base 12\nAnswer: -638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)*-1*-1)\/((sqrt(24)*-2 - sqrt(24))\/sqrt(8)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (74 - (88 - -10)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30213210111 (base 4) to base 10.\nAnswer: 3307797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*z**3 + 44*z**3 + 34*z**3 - 9*z**3 - 273*z**3.\nAnswer: -370*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/(w\/w**11))\/w)\/w**(-4\/13)*((w\/(w\/(w\/w**(-3\/4)*w)))\/w)\/w**(9\/7) assuming w is positive.\nAnswer: w**(4285\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 1, 1\/3, -0.048?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6 - (-9455)\/(-915))*4\/3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 5*t + 5. Suppose -148 - 177 = 10*c + 55*c. Let n(m) be the second derivative of -m**4\/12 - 2*m**3\/3 - 5*m**2\/2 - m. Give c*n(v) - 4*h(v).\nAnswer: v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**5 - 44*b**2*p**2 + 12*b*p**2 - b - 3 wrt b.\nAnswer: -80*b**3 - 88*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*h + 57, -2*i + 5*h + 51 = -i. Suppose -i*v = -61*v + 3550. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*j**2 + 7*j**2 - 5*j**2)*(2 - j**2 - 2) - j**4 - 2*j**4 + j**4.\nAnswer: -17*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489*d + 268 = 648*d - 209. Let p = 2 + -1. Let j be ((0 + -6)\/(-2))\/p. Calculate the highest common divisor of d and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 714 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2150 and 100.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 10:15 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3702 and 1.\nAnswer: -3702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -29, -3\/13, -0.2, 3?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s. Let k(q) be the third derivative of q**6\/720 + q**4\/8 + 8*q**2. Let l(a) be the second derivative of k(a). Give l(j(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 - 1)*(-3*c**2 - 2*c**2 + 4*c**2) + 20*c**2 + 6*c**2 - 69*c**2 + (-c - c + 4*c)*(-c + 0*c + 0*c) as x + j*c + z*c**2 and give z.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (1 + 3 + -2). Let x be ((-18)\/27)\/(w\/(-6)). Let f be (-2)\/4 - 23\/(-2). Solve 3*d = -4*y + 5, -x*y + f = 3*y - d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6293094?\nAnswer: 2, 3, 17, 103, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 409319874 and 613979811?\nAnswer: 1227959622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 4*q - 5*q)*(-17 + 0 + 4)*(-3 + 3 + 1)*(-4 + 1 + 2).\nAnswer: -130*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 w when three letters picked without replacement from bwoccb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 4:22 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 690345?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4768)\/12)\/((-1)\/(-3)). Let w = z - -2082. Round w to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 5. Let a(z) = -z**2 - z + 1. Let n(j) = -7*j**3 + 5*j**2 + 5*j + 9. Let u(b) = t*a(b) + n(b). Differentiate u(v) with respect to v.\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 5*o - 2102 + 2066, 3*o + 27*i = -6 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 15*w**2 + 25*w - 1. Let m be j(13). What is the common denominator of 10\/12*(-33)\/(-20) and 59\/m + 10\/5?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unnlunulennulnlxxo. Give prob of picking 1 n and 1 o.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*m + m = 22, 0 = -3*b - 5*m + 11. Calculate the remainder when 15 is divided by b\/3 + (0 - 3) - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 32d7c + -3?\nAnswer: 32d79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 27 = -4*g. Let l be -1 - (-3)\/((-3)\/g). Let y = -2 - -5. Solve -5*q - l = y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/(-12))\/(4\/(-12)). Suppose 4*h + 456 = 5*q + h, 0 = l*h + 10. 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 the ten thousands digit of 22936?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*r + j + 22, -4*r + j + 7 = 0. Let k(n) = -60*n**2 + 8*n. Let d(h) = h**2 - 2*h. Let p(c) = r*k(c) + 4*d(c). Let a(y) = -y. Determine a(p(b)).\nAnswer: 56*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*r - 220, 4 = 2*r - 2*s - 86. Calculate the remainder when r is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) -2 (c) 1863\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*a - 7. Let s be ((-12)\/a + -1 - -1)*1. Solve u = m + 6, -4*m - s*u = -0*u + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2028 + -2028. Let a(y) be the second derivative of -2*y**3 + 9\/20*y**5 + 0 + u*y**2 - y**4 - 16*y. Factor a(p).\nAnswer: 3*p*(p - 2)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(567)*1 - sqrt(567))*6*4)\/(sqrt(54)\/(sqrt(72)\/(2*sqrt(12)))))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29\/4 + 7. What is the nearest to l in 1.2, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 114)*(-13 - -12). Let n = u - -277. List the prime factors of n.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 853572 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4727\/5? (a) 5 (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*i + 110, 2*t + 4*i - 157 = -t. Let d be (-160)\/6 + (-6)\/18. Let x = t + d. Calculate the greatest common divisor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4146 (base 8) in base 16?\nAnswer: -866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2, -316\/11, -8\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -501 - -242. Let b = 475 + z. Is b a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 + 5)*(-2)\/(-4). Let c(u) = -u**3 + 7*u**2 + u - 4. Let t be c(v). Let o be (-36)\/44 - (-1 - 0). What is the third biggest value in 0.2, t, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 2*b + 3*b)*(2 - 2 - 1)*(b**3 - 6*b**3 + 2*b**3) - 3*b**4 - 13*b**4 + 7*b**4.\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 127471 (b) 5 (c) -2 (d) 1\/2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 4 - (2 - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1039, -18, -5, 4, 49 in decreasing order.\nAnswer: 49, 4, -5, -18, -1039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14\/8*(-3 - -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 121340539 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 430170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*t - 6 = -0*t, -25 = 5*t. Calculate the remainder when 0\/q + -5 + 271 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22251521 and 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d + 10*d + 18*d - d**3 + 325*d + 15*d - 378*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1801584 = -4*q, -4*r + 5*q - 4575550 = -972370. What is r rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -71? (a) 0.3 (b) 5 (c) 0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021020 + 2?\nAnswer: -2021011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27095?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.161? (a) -0.4 (b) -0.3 (c) 2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**30*w**(-8\/11)*(w**(-4\/15)*w)\/w**(5\/6) assuming w is positive.\nAnswer: w**(3209\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 534 - 376. Suppose -4*g + m = -18. What is the highest common divisor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + -1 - (sqrt(27)\/sqrt(3))\/sqrt(3))**2.\nAnswer: -16*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + 508?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179\/4 + -45. Suppose 0*f + 3*f + 4*q + 2 = 0, 5*q - 3 = -f. Let s be (3\/f)\/(3\/(-2)). Which is the closest to s? (a) -2 (b) -0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22\/1033, 5, -5, -0.2 in decreasing order.\nAnswer: 5, 22\/1033, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) 0.3 (c) 7.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 188499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -3*r + 22, 20*i - 4*r = 19*i - 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, -8301.\nAnswer: -8301, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5806000 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 224806019 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1442 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 175117, 175099, 175133, 175219, 175357?\n\"Answer: 26*f**2 - 96*f + 175187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 295986, -4, 1, -1 in ascending order.\nAnswer: -4, -1, 1, 295986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 78 + 2\/4*2. Suppose a*v - 83*v + 84 = 0. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384 (base 10) in base 9?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5386*q**2 - 16*q + 8. Let p be d(-6). Suppose -16*c = -14*c - p. What is c rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.2. Let b = 29\/6 + -13\/3. Suppose k - x - 15 = -3*k, 2*k = 5*x + 21. What is the nearest to b in -3, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 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: Multiply 850.3 and 0.2.\nAnswer: 170.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 0 + 0*n - 1\/315*n**7 + 1\/60*n**6 + 1\/36*n**4 + 4*n**2 + 0*n**3 - 1\/30*n**5. Factor q(f).\nAnswer: -2*f*(f - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1439492, -8, -2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022203 (base 4) in base 11?\nAnswer: -6731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1826 = -61*i + 1521. Let b(m) = -3*m**3 - 3*m**2 - 5*m + 6. Let q(a) = 2*a**3 + 2*a**2 + 3*a - 3. What is i*q(p) - 3*b(p)?\nAnswer: -p**3 - p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 + v**2. Suppose 2*h = -5*s - 8, -4*h = h + s - 3. Let j be a(h). Suppose j*m = 6*m. Solve -w - w - 4 = m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-76)*9\/(-45)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 36247.9 (c) -0.102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 206616, 206615, 206614?\n\"Answer: -n + 206617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 4 = 5*w. Suppose 6 = -w*o + 102. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cib when three letters picked without replacement from ccib?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 - 74. Suppose -5*s + 44 = -r*s. Let a = s + -38. Solve a*v = 2*v - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11875*g**2*s + 203657*g**2 + 8*s wrt s?\nAnswer: 11875*g**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**3*x**(-2\/11))**(-50)\/(x\/x**8*x*x*x*x**(5\/3))**(-2\/9) assuming x is positive.\nAnswer: x**(-56854\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/3 and 53\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4615685941 to the nearest integer?\nAnswer: 1665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 3*l**2 + 11*l - 7. Let u be m(5). Let q(a) = 2*a**2 - 7*a - 17. Let j be q(u). Is 1\/5 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/121 and 51\/55.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1567*b**3 - 1 + 2177*b**3 - 611*b**3 + 1.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4304 - 310. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 - -61625?\nAnswer: 62294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -2140, -0.5.\nAnswer: -2140, -57, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425106477 and 3492?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 377 divided by 21183\nAnswer: 377\/21183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11320 (base 7) to base 4.\nAnswer: -231121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001379 rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -2\/3, -3\/4 in decreasing order.\nAnswer: 5, 0, -2\/3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 107, 192, 287, 398, 531?\n\"Answer: s**3 - s**2 + 81*s + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (1037\/136 + -8 - 83\/(-72)). Factor -2\/3*z + 2\/9*z**2 - 4\/9 + u*z**4 + 2\/3*z**3.\nAnswer: 2*(z - 1)*(z + 1)**2*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415223921 - 415223921 + 37*k.\nAnswer: 37*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-15)*2*(-7)\/(-4536). Is z at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avtgvtagaaavvgg. Give prob of picking 1 g, 1 a, and 1 t.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -305661, 6, 0, 0.4 in descending order.\nAnswer: 6, 0.4, 0, -305661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 108.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 119*h**2 + 96*h - 11423. Calculate j(119).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = -35*p - 24*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -33. Let i be (f\/(-60))\/(1\/((-15)\/2)). What is the nearest to -2 in -5, i, 1\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-18))\/((-8)\/852)*(517\/(-94) - -5).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.9 + -5.8999952. Round g to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(620\/(-198)) + 237\/1185. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 213248 and 50176?\nAnswer: 852992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -27. Let m(s) = 0*s**2 - 2*s**2 - 3*s**q + 4*s**2. Let u(l) = -l. Give m(u(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p = -6 - 26, 3*a - 5*p + 5 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 110 = -1491*p + 1493*p, -61*p + 110 = -5*w for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 20*m - 37. Determine k(-18).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/5*(-50)\/1000*25.\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1887652 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1071.5 + -1072. Which is the nearest to 177? (a) 0 (b) o (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuvpueueeuuepu. What is prob of sequence puuu?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7353?\nAnswer: 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.3 - -2.3. Let i = 0.02 + 2.18. Let r = i + -2. Which is smaller: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 u when four letters picked without replacement from {u: 14, k: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 10:02 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 3\/563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (246\/(-1353))\/((-1)\/(-22))*2\/80\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 minus 0.1?\nAnswer: -262.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 548 times -8?\nAnswer: -4384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -41. Suppose -m*f = -0*f + 3*v - 3877, 3*f + 4*v = 5817. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*u + 34 = 0, -3*f - u + 41 = u. Suppose f*r - 138 = 236. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18116 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 8\/151?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (86 + -9 + 9 - (10 - 27)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2923 + 2929. Let b = 2 - -2. Suppose -k + 20 = b*k. Solve -q + k*q = -f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by -2333.\nAnswer: -79\/2333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - y + 5. Let w be 25\/((-2250)\/(-216)) + (-3)\/(-5). Suppose -s + 4*s = 12. Suppose s*i = -w + 3. Determine r(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198 by -66.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*n - 0*n + 23*n + 60 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 9. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = 3*a. Let o = a - -4. Suppose -o*m + m + 14 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/72*6\/(-15). What is the closest to c in 0.4, 6, -0.4, 11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783 is divided by 670.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.31 and -32.92.\nAnswer: -339.4052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196237458*d**2 + 83109363*d wrt d.\nAnswer: 392474916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*s + 8, 0 = -4*k - 3*s + 59813. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*g*n**3 - 7878*g*n**2 - 9*g*n + 11*g + 178503*n**3 - 280*n**2 with respect to g.\nAnswer: -6*n**3 - 7878*n**2 - 9*n + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22\/21 + 4\/3. Let t be (6\/(-2))\/(33\/(-2)). Which is the nearest to 8? (a) 1\/3 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (71 - (15 - 3)) + -18.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -330?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3231, 0, 22, 3, -10 in descending order.\nAnswer: 3231, 22, 3, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.1, 2\/7, -0.4, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 7:53 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, v: 3, t: 2}. What is prob of sequence hvvv?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, 3, -3, 1937, 2 in increasing order.\nAnswer: -3, -2, 2, 3, 13, 1937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-99)*5\/6*87\/145.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2782.\nAnswer: 2, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 853976 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236, -161, -110, -83, -80, -101?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -226 + 323. Suppose 0 = -3*r + 5*y + k, 145 = 2*r + 3*y + 55. Let a be (15\/2)\/(r\/26). Solve 31 = a*z + 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -204\/79 + -6913\/474. What is the common denominator of -51\/8 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13920 + -76. What are the prime factors of o?\nAnswer: 2, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fffffvfvf.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -13*q**3 + 6*q**2 - 215*q + 214. Determine d(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -5a016c?\nAnswer: -5a016b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 divided by 2?\nAnswer: -109\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4827 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -57930\/13 (c) 0.4 (d) -0.5 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 27*x + 27 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (65\/15 + -4)*117. Differentiate -q**4 - 15*q**4 + 69*q**3 + i - 69*q**3 with respect to q.\nAnswer: -64*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**7\/35 + 85*x**4\/6 + 6049*x**3\/6 - 7274*x**2. Differentiate j(s) wrt s.\nAnswer: -24*s**3 + 340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*j + 51*j + 44*j. Sort j, -3, 98, -5 in ascending order.\nAnswer: -5, -3, j, 98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -516549 (base 10) to base 13\nAnswer: -151167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v - v)*(v + 3*v**2 + 11*v**2 - 3*v - 2)*(-v**2 + 3*v**2 + 5*v**2).\nAnswer: -98*v**5 + 14*v**4 + 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20475181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 3:22 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -2032?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -63581809, -63581811, -63581813, -63581815, -63581817, -63581819?\n\"Answer: -2*y - 63581807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w. Let j(b) be the second derivative of -16*b + 0 - 5\/6*b**3 + 0*b**2. What is j(x(d))?\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 211\/141 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a century?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v + 1. Let h be z(3). Let o(n) be the second derivative of 0 + 1\/2*n**3 + 3*n + 5\/2*n**2. Let a(j) = -4*j - 7. Give h*a(k) - 7*o(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2*8\/(-10))\/((-62436)\/28380)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m**4 + 5*m**4 - 2*m**4)*(3 - 1 - 3) + 3*m**4 + 2*m**4 - 4*m**4 - 124*m**4 - 14*m**4 + 6*m**4 as n*m**3 + u*m**2 + h*m + g + k*m**4 and give k.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -39*v**2. Let t(p) = p**2 + 347 - 697 + 350. Calculate t(r(y)).\nAnswer: 1521*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6819 + 8834. What is the smallest common multiple of s and 39?\nAnswer: 6045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332335?\nAnswer: 5, 66467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64\/105 + -2\/35. Let j = 36 - 10. Let q = 31 - j. Put -0.4, m, q in decreasing order.\nAnswer: q, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4590 (base 12) to base 13\nAnswer: -36a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.075 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 771399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.8 - -4.78. Let r = t + 0.1. Let x = 0 - -0.1. Which is the nearest to x? (a) r (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -12. Let i = -84.9 + 79. Let o = f + i. Is o greater than or equal to 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-12)\/(-8)))\/((-16)\/(-1344)*8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2\/29, 2\/11, 6, -35\/8, -1 in decreasing order.\nAnswer: 6, 0.4, 2\/11, -2\/29, -1, -35\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, o: 7, v: 4, u: 5}. What is prob of sequence uhuo?\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 281?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 - -410. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-227 + -17)*(-318)\/3233?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2112121120212202 + -102?\nAnswer: -2112121120220011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 143 + -107 - (-2 + 28)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v + 55. Let a(d) = 2*d. Let u(z) = -2*a(z) - r(z). Let t(m) = -5*m**2. Calculate u(t(k)).\nAnswer: 5*k**2 - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 z when three letters picked without replacement from {x: 4, z: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(99) - sqrt(275)*2) + (2*sqrt(110)\/sqrt(2))\/(sqrt(5) + sqrt(240)\/sqrt(12) - sqrt(5)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 498714 to the power of 1\/2, to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 2)*1 - -2. Let j(q) be the first derivative of -q - 1 - 1\/2*q**2. Give j(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 281*f**8\/336 + f**4\/12 - 41*f**3 - 19*f**2 - 8. Find the second derivative of t(r) wrt r.\nAnswer: 5620*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*j**2 + 1768*j**2 - 124*j**2.\nAnswer: 1766*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 88 = -2*q - 17, 5*o - 103 = 2*q. Let t be (0 - -3) + q\/24. Let b(a) = -a**3 - a**2 - a. Let r be b(-1). Which is greater: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((2 + 8)\/((-164)\/(-123)) - 7)*7. Factor 4*d**2 + j*d**3 + 0 - 2*d - 5\/2*d**4.\nAnswer: -d*(d - 2)*(d + 1)*(5*d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 67*g + 2*f + 522698 - 522884, 4*g - 5*f = -13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/((-2)\/(-54)*9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 - 517414*o**2 + 517305*o**2.\nAnswer: -109*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2 (b) -12 (c) 0.2 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 0 + 0)*(-2*x**3 + 2*x**3 - x**3) - 3 + 3 + 5*x**4.\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-600)\/(-32)*-1)\/(84\/(-112))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-418)\/(-57)))\/((-126)\/(-7))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(45) - ((-4*sqrt(90))\/sqrt(2) + sqrt(45))**2).\nAnswer: -400 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -g + 56. Differentiate -49 + g - 13*f - 15*f with respect to f.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f + 7*f - f. Let w(d) = -1 + 10*d + 1 - 11*d. Calculate h(w(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -272.22 - -272.2133978. Round i to 4 dps.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 18.00000035. Round f to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8561?\nAnswer: 7, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 0*r**2 + 0*r**2)*(-3*r**2 - 4*r + 4*r)*(-50*r - 49*r + 44*r).\nAnswer: 165*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 26 = 2*f + 5*b, -244*f + 245*f = 4*b - 19 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*v + 383, -2*v + 51 = -19*v. What is the smallest common multiple of x and 1012?\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-90)*18\/15)\/((-76)\/(-10)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (525\/5)\/(420\/84).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 35. Let s(f) = f**2 + 8*f - 17. What is the tens digit of s(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 676853389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - b254b13?\nAnswer: -b254b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/8 of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1)*b*b**(1\/3)*b\/b**(2\/13)*b\/b**2*((b*b\/(b\/(b\/(b\/b**(2\/13)))))**32)**44 assuming b is positive.\nAnswer: b**(63367\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 91378 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*d - 5*u, -2*d + 1 = -4*u - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 3053210?\nAnswer: 3053213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229 + 369 = 14*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18\/11*l**2 + 0 - 10\/11*l**4 - 24\/11*l**3 - 4\/11*l = 0. What is l?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172\/16 - ((-1443)\/(-52))\/37?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 - -114. Let h be ((-95)\/(-15))\/(c\/(-12)). Is h bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - u + 1 = 0, w - 4*u = -4*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (17\/2 - 3)*-2. Which is greater: m or -13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-1 + 1 - a**2) + a**2 - 842 - 839 - 6*a + 1666.\nAnswer: -a**2 - 6*a - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppllllpfplpll. Give prob of picking 2 p.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1323066*a**3*t - 97*a**2 + a*t - 2*a + 445*t + 1 wrt a.\nAnswer: -7938396*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54017 (base 8) to base 13.\nAnswer: a351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39269, 39268, 39267, 39266?\n\"Answer: -b + 39270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 1 - 1)*(211 - 425 - 1863*o**2 + 214).\nAnswer: 1863*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9024652.\nAnswer: 2, 7, 13, 24793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r + 1. Suppose -13 = -2*u - 1. Give q(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/22*-2*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31143 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: Calculate -5 divided by 28408.\nAnswer: -5\/28408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3675822?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 164247.426 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*w**4*y + 208*w**2*y**2 + 4730*y**2 - 4*y wrt w?\nAnswer: -64*w**3*y + 416*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7081?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = 16*l - 3*p - 4126, 0 = -4*l + p + 8252. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3107\/3 + 1057. Let g be ((-2)\/4 - 1841\/28)\/(-3). Let k = n - g. What is the smallest value in k, 3, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**7\/3 - c**4 - 20*c. What is the third derivative of z(j) wrt j?\nAnswer: 840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3 - 81*g + 90*g - 25. Calculate a(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b - 23 - 4 + 0 - 2.\nAnswer: -3*b - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/57 and 173\/22610280?\nAnswer: 429595320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9601250 a multiple of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*h + h - 3458. Is 41 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -6*s**5 + 15615*s**4 - 9002118*s**3 - 1545104364*s**2 - 2288300040*s + 1531550400 = 0.\nAnswer: -136, -2, 1\/2, 1370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from esoozsroooezeo?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14511*r - 11629.\nAnswer: 14511","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12427*x**2 + 13875.\nAnswer: 24854*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 3 (c) 2\/11 (d) -4 (e) -0.018\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143\/2 + 46. Let d = 24 + j. Let w = 13.39 + -13.79. What is the second biggest value in -1\/9, d, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7236*w = 7049*w - 1309 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 5 - 5 - 2*w + 3*w - 2*w + 6*w + 3*w - 3*w + (-9 + 0 + 0)*(1 - 1 + w) in the form d + c*w and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.900768l in millilitres?\nAnswer: 5900.768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1676514?\nAnswer: 2, 3, 7, 179, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 124130341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/2030 and -129\/12410.\nAnswer: 2519230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -123*t - 6 + 15*t - 2*t**2 + 6 - 4*t**2 in the form g*t**2 + a + m*t and give m.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 116113603 divided by 1?\nAnswer: 116113603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svpvsvvspvpppppp. What is prob of sequence vsps?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -11*r**2 + 17076*r - 102058. Determine w(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*z**3 - 25*z**3 - 8*z**4 - 14*z**4 - 3*z**4 + 5*z - 41*z**3 - 2*z**2 - 2 to q*z**3 + s*z**2 + x + u*z + d*z**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13738611*m**3 + 90542131*m**2 wrt m?\nAnswer: -82431666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40898 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (11 + (-2 - 19)). Solve 0 = 2*i - x + 2, -5*i + 3*x - z = -0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 479*s - 1913. Let w be r(4). Solve 13 = -w*g + 5*i, -8*g - 4*i + 8 = -10*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10024, -10008, -9992, -9976?\nAnswer: -9960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 89*z - 6660. Give s(76).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 2*w**2 - w - 1. Let m be b(-2). Is -3*(m + 48\/(-9)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29193 and 2598177?\nAnswer: 2598177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 406.5 + -197. Let d = -209 + s. Suppose -4*j = -4*u, -j + 5 = -u + 5*u. Sort d, 5, -1\/6, j in descending order.\nAnswer: 5, j, d, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -14*x**3 - 70*x**2 - 6*x - 30. Determine z(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -69? (a) -16 (b) -3 (c) -6\/7 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 890810 a multiple of 1273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*l + 8*l - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + sqrt(1300) + sqrt(1300) + -3 - -1*(sqrt(1300) + -1))**2.\nAnswer: -240*sqrt(13) + 23408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425232 and 576?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*v - 9*v + 15*v)*(-4 + 1 + 0) + 91*v + 410*v + 128*v.\nAnswer: 572*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 11:17 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*q**3 + 128*q**3 - 1 + 1.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*k - 6, -3 = 5*k + y - 1. What are the prime factors of (k + 8 - 3) + 852?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414859331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 2*r**2 - 8*r + 3. Let l be b(4). Suppose -3*j = t - 5, -9 = -5*t + l*j - 2*j. Solve 72 + 2*z + 2*z**4 - t*z**3 + 68 - 6*z**2 - 136 = 0 for z.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d + 63. What is the hundreds digit of t(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48100480.\nAnswer: 2, 5, 17, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8340456 - 8340456 + 2037*t**2.\nAnswer: 2037*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/1452643 and -47\/436.\nAnswer: 5810572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 195.11 * 0.1\nAnswer: 19.511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.304 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15020*d**2*g*x**3 - 3*d**2*g*x - 63*d**2*x**3 - 562*d**2*x**2 with respect to g.\nAnswer: 15020*d**2*x**3 - 3*d**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 29 = -3. Let z be 46\/14 + i\/28. Factor -h**2 + 0 + 1\/2*h**z + 0*h.\nAnswer: h**2*(h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6793 + 2864 + 3828*h + 3844*h - 7669*h)*(-h**4 + 0*h + 0*h).\nAnswer: -3*h**5 - 9657*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 14*l**4 - 2*l**3 - 16*l**4 - 1 + l to the form g*l**3 + r + n*l**4 + a*l**2 + o*l and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12199*r + 12192*r = -9394. Calculate the remainder when r is divided by 114.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005453 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 812690.9 litres to millilitres.\nAnswer: 812690900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -232\/9 - 26*x - 2\/9*x**2 = 0. Calculate x.\nAnswer: -116, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 56, -0.01, -0.4, 2.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -11*y**7\/70 + 13*y**6\/50 - 3*y**5\/50 + y. Suppose b(j) = 0. Calculate j.\nAnswer: 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 687 + -615. Calculate the smallest common multiple of 81 and n.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3 - 1484580*z**2 + 7423056*z + 20784400 = 0. What is z?\nAnswer: -371150, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79 and 325243?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 42 = z. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2940 + 8269. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -10222012122221022?\nAnswer: 10222012122221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3 + 6*d - 4 - 2 - 5*d**2. Let f(h) = h**2 - h. Let j(a) = 6*f(a) + z(a). What is the derivative of j(u) wrt u?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*t - 4 = -53, 0 = 5*v + t - 114. Let c(u) = u**2 + 11*u - 30. What is the remainder when v is divided by c(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 2)*1 - -2. Let y be (a - 3) + 3 + 2. Suppose -58577 + 58635 = 2*k. Solve 5*p - k = -x, -p - y*x + 1 = -4*x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2384964 divided by 6.\nAnswer: 397494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -1139*m**6\/10 - 8321*m**4\/24 + 5984*m**2. Find the second derivative of f(g) wrt g.\nAnswer: -82008*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -948? (a) 5\/2 (b) 5\/3 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10*h**3 - 21*h**2 - 122*h - 236. What is f(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.976955 centuries to months.\nAnswer: 10772.346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 12 = -i + 3*i, 5*u = -2*i + 15. Let h(c) = 4*c**3 - 5*c**2 - 3*c. Let o(y) = 6*y**3 - 8*y**2 - 5*y. Calculate i*o(n) - 8*h(n).\nAnswer: -2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -328, -919, -1902, -3271, -5020?\n\"Answer: i**3 - 202*i**2 + 8*i - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -118\/7 (b) 4 (c) 3 (d) -0.5 (e) 12 (f) -24 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5371592287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -728 divided by -104\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 51, 7042, 2 in decreasing order.\nAnswer: 7042, 51, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 705, 2618, 5771, 10182, 15869, 22850, 31143, 40766?\n\"Answer: 3*u**3 + 602*u**2 + 86*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 3*r + 3*r. Let i(q) = -18 - 12 + 12*q**2 + 44 - 14. What is c(i(k))?\nAnswer: 288*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + a - 10. Let f be i(0). Let p(s) = s**3 + 9*s**2 - 9*s + 23. Let t be p(f). Suppose 4 = t*k - 14*k. Put -3, k, 5 in decreasing order.\nAnswer: 5, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -354.4997456 - -354.5. Round n to 5 decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -23\/51754?\nAnswer: -23\/51754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098344 is divided by 124.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 542232564?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 60527 - -90276.99\nAnswer: 150803.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -11. Let h(o) = o + x*o + 16*o + 1. Is h(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -1003.\nAnswer: 6\/1003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3*s - 20, -2*s - 15 = -3*u + 1. Let g be ((-9)\/6)\/((-3)\/u). What are the prime factors of 0 + -2*(-6)\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+0.0119\nAnswer: -4.9881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 1026*g**2 + 5508*g + 5430. Differentiate l(a) with respect to a.\nAnswer: 2052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4611 + -18.01.\nAnswer: 4592.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 9 = 3*q. Let g = 8 - q. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 - ((-4)\/(-4) - -2) is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -152608*d**3 - 3*d**2 + 3827657 with respect to d.\nAnswer: -457824*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 11:28 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-64)\/(-184))\/4 - (306\/(-184) - 2\/(-8)). Factor g*s**3 + 2*s + 3*s**2 + 0 + 1\/4*s**4.\nAnswer: s*(s + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*y**2 - 26*y**2 + 3*y - 3 + 6)*(1 + 1 + 2).\nAnswer: 8*y**2 + 12*y + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**2\/4 - 6151*c\/2 + 37834801\/4 = 0.\nAnswer: 6151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392*i - 1007*i = -345*i + 50592 for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1773 (base 10) to base 12\nAnswer: -1039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 + 100011?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 15*q = -85. Solve q*f = -28 + 48 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1220324403220 - 4?\nAnswer: 1220324403211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -38) + (-4176 - -4155)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 27 + (-15 - -2) + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -103*h + 5471. Let r(i) = -26*i. Give -b(c) + 4*r(c).\nAnswer: -c - 5471","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 7*z**2 + 2*z + 10. Let w be r(-7). Put w, 7, 3, -0.4 in increasing order.\nAnswer: w, -0.4, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1025*k**5 + 2*k**4 + 2*k**3 - 815*k + 5 wrt k?\nAnswer: 20500*k**3 + 24*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 99 = 7*n - 8*n, 3*n - 2*r - 309 = 0. Calculate the remainder when n is divided by -5*((-72)\/40 - 1*3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 21. Let u(p) = -p**3 - 5*p**2 - 6*p - 5. Let n be u(-4). What is the remainder when j is divided by ((-1)\/n)\/((-4)\/132)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100765*g + 851*g**3 - 50385*g - 50385*g to the form w*g**3 + j*g**2 + q + z*g and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13b2 (base 12) to base 2.\nAnswer: 100011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213989655?\nAnswer: 3, 5, 11, 1296907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2679671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d + 56. Suppose -5*l - 3 = -d. Solve -6 = -5*u - 5*h + 19, l*u - 15 = 5*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in 5, -0.1, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a - 7*a - 164. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 + 0.3. Let z = -278 + 279. Are z and q non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/8 + 141*p**2\/8 - 630*p + 1225\/2.\nAnswer: -(p - 70)**2*(p - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 2)*0\/(-4). Suppose b = -r - 3*r. Suppose -20 = -2*w - r*w. Calculate the smallest common multiple of w and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4*p, 3*p - 24 = 4*m + p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 6*h + 133. Let k = 14 + h. Let x be ((-4)\/10)\/(11\/10 + k). Sort 1, 10, 2, x in decreasing order.\nAnswer: 10, 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 2*b + 457 = 479, -37*j - 4*b - 44 = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223490909.\nAnswer: 43, 5197463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 + 82409*v\/3 + 576814\/3.\nAnswer: (v + 7)*(v + 82402)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 850642.5 weeks in seconds?\nAnswer: 514468584000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-6)*4)\/(-2). Suppose 2*p - 5*w + 965 = 7*p, -w = a*p - 589. Let z = 39 + -17. What is the highest common divisor of z and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 3, 5, -272, 4 in increasing order.\nAnswer: -272, -5, -2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17041232.\nAnswer: 2, 13, 81929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/13, 1\/3, -51, 30, -12, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**6\/240 - v**5\/40 + 5*v**3\/3 - v. Let t(y) be the second derivative of a(y). Factor t(z).\nAnswer: -3*z*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4366 is divided by 753.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2)\/w)\/(w\/(w*w**(-1\/5))))**(1\/10)\/(w*w**4*w*w*w**(-2\/23))**(10\/7) assuming w is positive.\nAnswer: w**(-41038\/4025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -39*m**3 - m**2 - m - 1. Let g be p(-1). Suppose 4*n + 30 = -g. Let h = 27 + n. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/5)*n*n)**(3\/14))**48\/(n**(-2\/7)*n**(1\/12))**27 assuming n is positive.\nAnswer: n**(2781\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192362.\nAnswer: 2, 96181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 - 9*d - 3. Let p = -6 + 9. Let b(i) = -3*i + 4. Let x be b(p). Let y(w) = -w**2 + 4*w + 1. Let z be (-4)\/(12\/9) - -1. Give x*y(q) + z*g(q).\nAnswer: -q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -10. Suppose -4*t = -6*t + 5*v - 22, 0 = 3*v - 12. Let f = t + m. Are f and 10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -0.2 (b) -6\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 2. Suppose -8*s - 5 = -13*s. Let q(v) = -6. Let c(k) = s*q(k) + 3*o(k). Let d(j) = 13*j**2. Give d(c(t)).\nAnswer: 117*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 2. Let v = 132 - 112. Suppose q + 5*l = -19, -6*l + 2*l = v. Determine d(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*s - 69 = -9 + 40 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*i - 7*i**2 - 28*i + 3*i**2 to the form x*i + j + b*i**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44670202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58.047 + 58. Let u = -33.953 + y. Let p = -32.95 - u. Round p to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (5 - 3) - ((6 - 2) + -29)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005293 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 11638*r**2 - 8220774*r - 1554683634.\nAnswer: -2*(r + 393)**2*(r + 5033)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2299798427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -9*v - 1 - 16*v**2 + 15*v**3 + 11*v**3 + 4 - 27*v**3 + 23*v**2. Determine i(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -36. Suppose -2*l + a + 10 = y, l + a - 2 = -0*l. Solve -l*k - 20 = 0, 2*h + 4*k + 10 = -0*k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.4 (c) 3\/4 (d) -0.2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -205 - 6?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**3 - 5*g**2 - 9. Let n(u) = 6*u + 10 + 6*u**2 - 6*u - 7*u**3 + 0*u. Let q(j) = 6*h(j) + 5*n(j). Differentiate q(r) wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(6) - sqrt(24)\/sqrt(4)) + sqrt(6) + (sqrt(6) + sqrt(18)\/sqrt(3))*-1)\/((sqrt(48)\/sqrt(6) + sqrt(2) + 1*sqrt(2)*-1)*-6))**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 15*k**2\/2 - 17*k - 5. Let f be y(12). Find the second derivative of -12*z + 2*z - 155*z**3 + f*z**3 wrt z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -318.3, 0.2, -1\/4, -0.3 in increasing order.\nAnswer: -318.3, -0.3, -1\/4, -2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45427.54 years in months?\nAnswer: 545130.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2280 is divided by 378?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18568 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: Suppose 3*j = 0, 62 + 174 = 4*l + 4*j. Let o = -6 - -6. Suppose 3*m + 2*m - 100 = o. Calculate the remainder when l is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = 5*g + 1380. Let m = g - -125. Sort 4, 0, m in ascending order.\nAnswer: 0, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + m)*(-1 + 4 + 4).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 122 + -32. Let f be (-38)\/(-9) - 20\/w. Suppose -4 + 5 - f + 8*n - 8*n**2 + 1 = 0. Calculate n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29893434?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -617*h**3 + 1071*h**3 - 354*h**3 - 155*h**3.\nAnswer: -55*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 16\/15 of a millennium?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q = -48 + 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -161 (base 7) to base 11.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 1395?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -19103950 to the nearest one hundred thousand.\nAnswer: -19100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d\/(d\/(d**(-1\/3)\/d)))*d*d\/(d\/d**(-1)*d)*(d\/(d\/(d**(-5\/2)*d*d)))\/d*(d\/(d**6*d))\/d assuming d is positive.\nAnswer: d**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 849321 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*c - 241 + 458 = -20 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/4)\/x**(-2)*x**(2\/15)\/(x\/(x*x\/x**(3\/4)*x*x*x))*(x*(x*x*x*x**(5\/3)*x)\/x*x**6)\/(x**0*x)**(-1\/33) assuming x is positive.\nAnswer: x**(5389\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16354531 is divided by 101.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyh when three letters picked without replacement from {j: 1, y: 2, d: 4, h: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430413302 to the power of 1\/2, to the nearest integer?\nAnswer: 37821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 13\/433?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 993301583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -12. What is the remainder when 965\/30 + (-1)\/6 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3737.7648 minutes in days?\nAnswer: 2.59567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17\/49 - 2\/147. What is the closest to -1 in -2, 0.5, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -4 + 5 - -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/6 - 15\/(-18). What is the second biggest value in p, 0, 3\/2, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1572 - 594. Let j = 1043 + o. Suppose -j = 3*a + 109. Round a to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*l + 14*l. Which is the closest to -1? (a) 4\/7 (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 - -55 - (1 + -5 + 2 + -34)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13864 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23320200 (base 4) to base 5.\nAnswer: 3024142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q + 6. Let x(o) = -274 + 2*o + 389 - 113. Give x(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (368\/56)\/(8\/7) and 127\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 4:17 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 533 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72 - -222. Suppose z = a + a. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 7*o - 10. Let t be f(5). Is (42 - t)\/(9\/12) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (9 + -9) - (0 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -564, -1111, -1634, -2133, -2608?\nAnswer: -3059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16045360 divided by -1604536\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 778*u**3 + 1627*u**3 - 2099*u**3 + 1094*u**3.\nAnswer: 1400*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 421911\/92818 - 1\/8438. Suppose -325*v + 324*v + 4 = 0. Is v > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.021 - -14.121. Let c = p + -14. Let y = c + -0.0915. What is y rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**4\/12 + 3*n**3\/2 + 3*n**2. What is the tens digit of z(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.372 + 0.32. Let t = 0.133081 + -0.08104. Let c = h + t. What is c rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**5\/3 + 8*c**4\/3 + 4*c**3\/3 - 8*c**2\/3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 4*k**2 - 8*k - 5. Let u(n) = -n**3 + 10*n**2 - 9*n + 6. Let i be u(9). What is the remainder when z(i) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60253 divided by -6.\nAnswer: -60253\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**19*(u*u\/u**1)\/(u**7\/u) assuming u is positive.\nAnswer: u**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38588 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is a1 (base 13) in base 5?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 194, 3, -1, 99, 39 in descending order.\nAnswer: 194, 99, 39, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358 a factor of 749397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2. Let i(r) be the first derivative of -17*r**4\/6 - 33*r - 22. Let n(l) be the first derivative of i(l). What is y(n(q))?\nAnswer: 2312*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3546 - 336633?\nAnswer: -343512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdiddgiddgg. What is prob of picking 2 d and 2 g?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 5*i**2 - 4*i. Let v be g(-6). Let j be 4*v\/(-2) - (2 - 0). Let b be -13*2\/j - (-20)\/110. Which is bigger: b or 1\/91?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 2*b. Suppose 0 = 5*z + 2*d + 12, d - 7 = 3*z - 2. Let x be g(z). What is the greatest common factor of x and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 0 + -6 + 6. Find the first derivative of j*o**4 + 23 + 106 + 69*o**4 + 35*o**4 + 51*o**4 wrt o.\nAnswer: 620*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 2*b + 0*b**4 + 0*b + 3 + 2*b**4 + 3*b**3 + 4*b**2 + 3*b**2 in the form p + g*b**2 + q*b + w*b**3 + u*b**4 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 + -100. Let j be (m\/(-12))\/(6*(-4)\/(-96)). What is the second biggest value in -1, j, 12?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 979 = 2*a - 5*c, 4*c = -c + 15. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + n + 4*i - 16, 4 = -5*n + i. Suppose d = 2*o + 5, 6*o - 3*d = 3*o. Sort n, o, 3.\nAnswer: o, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 + 177. Calculate the greatest common factor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 66 = -323*f + 325*f, -f + 3 = -x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - (sqrt(44) + (sqrt(6336) - -3*sqrt(6336) - sqrt(6336))))\/(sqrt(36)*2).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*m - 36 + 239. Let k be 3807 - (-4 + (m - -8)). What is k rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 - 2*q**4 + 83*q**2 + 3*q - 83*q**2 - 2 to the form u*q + n*q**4 + i*q**3 + z*q**2 + g and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(-3)\/c)*(c\/(c**3\/c))\/c)**(10\/13))**(-16))**38 assuming c is positive.\nAnswer: c**(-18240\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -29444787 at most -29444782?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 2:23 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 369 + -522. Is p at least as big as -152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144587302 to the power of 1\/2, to the nearest integer?\nAnswer: 12024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 734*s**5 + 859*s**3 - 2161050*s**2 + 2*s.\nAnswer: 44040*s**2 + 5154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u - 12 = -25*u. Calculate the remainder when 29 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15328478 and 13934980?\nAnswer: 153284780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4265030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s - 10. Let y be 10 + 1*(0 + 3). What is the units digit of w(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, z: 13}. What is prob of sequence zoo?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 4:38 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h + 10 = 17*h - 2*i, 0 = -4*h - 3*i + 19 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644*v + 10931 = v for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -3. Let b = 21.8218 + 0.1782. What is the third smallest value in 3, o, b, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23325 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 = 5*j - 0, 0 = 4*a + 3*j + 18. Let z(r) = 5*r - 4*r + 4*r**2 + 3*r + 2. Is 13 a factor of z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30, -70, 9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 714059?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286 and 91517954?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -19030, 3, -2 in decreasing order.\nAnswer: 3, -2, -5, -19030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -5*d**2\/2 - 10. Let h(v) = -5*v - v**2 + 5*v. What is h(s(p))?\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwii when four letters picked without replacement from {i: 2, p: 4, n: 7, w: 2, a: 3}?\nAnswer: 7\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/5)\/((-2)\/(-20)). What is the tens digit of (-46)\/d + 1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7719702, -30878803, -69477304, -123515205, -192992506?\nAnswer: -277909207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45.6 - 46.6. Is s at least as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*r - 0*r - 45, 4*r = 0. Let x be i\/15*((-35)\/15 - -1). Sort -3, x, -1\/3.\nAnswer: -3, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 - 9*i**3 + 23*i**3 - 9*i**3 + 20*i**2 - 4*i**4 - 20*i.\nAnswer: -5*i*(i - 2)*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 8:09 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*-2*8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-3))\/(-4)*3\/(-2)*915946\/(-69128)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19593996 divided by 6\nAnswer: 3265666","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 6*t - 3. Suppose 26 = -5*d - 3*m, m + 2 = 5*d + 20. Let z be l(d). Which is the second smallest value? (a) 3 (b) 1\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -3, 7 in descending order.\nAnswer: 7, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 448\/(-3968)*(-4)\/(-7)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -222, 138.\nAnswer: -222, -5, -3, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, s: 9}. What is prob of sequence jjjj?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 848 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q. Let a be ((2 - 3) + 0)*-5. Let o(k) = 4*k**2 + 5*k**2 - a*k**2. What is o(g(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 - 106. Calculate the smallest common multiple of (9\/(-5))\/(n\/(-5)) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.3 (c) -82 (d) 3\/7 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3 + 8 + 425*z + 437*z - 1298*z + 438*z.\nAnswer: 2*z + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 17. Suppose -a - 1 = 0, 3*x + 2*x = -2*a + 133. What is the lowest common multiple of o and (-90)\/x*18\/(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 108962, 217863, 326762, 435659, 544554, 653447?\n\"Answer: -y**2 + 108904*y + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18668 - 1530719\/82. What is the common denominator of b and -55\/3?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 3*p + n - 1, -2 = -2*p + 4*n. Let l = 1 + p. Suppose 0*x + 2*x - 64 = l. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 1. Let a(i) = 2*i**2 - i - 2. Suppose -4*g - 2 = 7*k - 9*k, 2*k + 2*g + 4 = 0. Suppose 2 = -j - 0. What is j*l(h) + k*a(h)?\nAnswer: -2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9250)\/(-18) - (-2)\/6. Let q = -521 + h. Find the common denominator of q and (70\/(-50))\/(4\/90).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14039.\nAnswer: 101, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 406606 + -6.\nAnswer: 406600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 311369 to the power of 1\/2, to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (86 - 28 + 59)*(-2 + 0 + 0*d**2 - 4*d**2) in the form v*d + s + p*d**2 and give s.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (11295\/(-10))\/(-9)*(-1 + 23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4)*b*b)\/b)**8\/((b**(2\/9)\/b)\/(b\/b**(6\/5))) assuming b is positive.\nAnswer: b**(-1054\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 66 = a. Suppose -s + 103 = 5*v - 103, -2*v = -5*s - a. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*a = -3, 2*o - 3*a - 338 = -331. Solve 4*u + 1 = -0*u - 3*p, -4 = 2*u - o*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -9, m + 4*t - t - 12 = 0. Let p = m - -6. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 10*a**2 - a + 18. Let g be q(11). Let h = g + -208. What is h rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98137579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46208 and 380.\nAnswer: 231040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3.8 times 2128655\nAnswer: 8088889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3138 = 13*w + 3008. What is the remainder when 243 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/48 and 109\/3024.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3.43. Let f = 0.4 + s. Let v = -2.97 + f. Which is the nearest to -0.1? (a) v (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85320767.\nAnswer: 7, 12188681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c\/(c*c**8)*(c**6\/c)\/c)**(-22) assuming c is positive.\nAnswer: c**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/12 + 88\/(-6). Let b = -9 - z. Let y = b - 4. Solve 0 = -y*f + 4*i - 12, -2*f + 4*f + 4*i = 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(44))**2 + -3 - ((0 + sqrt(1584))**2 - 4*sqrt(99))) + 1.\nAnswer: -1544 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -743*f**2 - f - 958.\nAnswer: -1486*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 21*d - 27*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 917 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, v: 3, a: 3}. Give prob of sequence aa.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10111101110111 (base 2) to base 10\nAnswer: 12151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 5. What is j(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**4\/12 - 5*p**3\/6 - p**2\/2 + p. Let x(m) = -m**3 - 27*m**2 + 31*m + 82. Let q be x(-28). What is z(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383700 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/5)\/(105\/(-10))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1655 divide 412239371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 4:46 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1008 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -1620*q**4 - 21375*q**3 + 13015*q**2 + 8880*q + 1100 = 0.\nAnswer: -55\/4, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 713*s**4 + 933*s**4 - 784*s**2 + 173*s**4 - 1071*s**2 - 508*s**4 wrt s.\nAnswer: 31464*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.499 + 14.258. Let t = 6.3 + c. What is t rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253, -228, -201, -172, -141, -108?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2738?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 3, 5 in decreasing order.\nAnswer: 5, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -3*a - 8, 2719*a - 2705*a + 13 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 10*d)*((d + 2 - 2)*(1 - 2 - 1) + 3*d - 6*d - d) in the form r + q*d + n*d**2 and give n.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2*(235\/14 - (-32)\/(-112))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -20.48. What is j rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*t - 64187345 = -110*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (222\/2516)\/((-72)\/240)?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 10*u**2 - 6*u + 11. Give b(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1541, -12, 3 in descending order.\nAnswer: 3, 0, -12, -1541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*s**2 - 4)*(2*s - 5*s + 0*s + 4 + s - 4 + (0*s - 4*s + 2*s)*(4 - 4 + 2) + s + 0*s + s - 23*s + 1 + 13*s + 9*s).\nAnswer: 10*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -3. Let f = j + 7. Suppose 0*o - 25 = -5*o. Solve -f*h = -o*y + 20, 18 = 5*y + h - 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124160, -123958, -123744, -123512, -123256, -122970?\nAnswer: -122648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7476216*x - 5344849 with respect to x.\nAnswer: 7476216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 (base 13) in base 11?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-74)\/14 - -1 - -4. Suppose -5*d + 63 - 18 = 0. Is d < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-1)\/((210\/7)\/3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -163*0.5\nAnswer: -81.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2) + -5 + 4 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-4) + (10 - 5) + -7\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-972*m + 127*m**4 + 972*m)*(-2*m + 2*m + 4*m + m + 0 + 0 + (1 + 2 - 4)*(1 - m - 1) + 2 - 2 + 2*m).\nAnswer: 1016*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(sqrt(2) - (2 + sqrt(2) + 2))*-2 - -1*(sqrt(4)\/(sqrt(14)\/sqrt(7)) + sqrt(10)\/(sqrt(5)*2)).\nAnswer: 3*sqrt(2)\/2 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1380 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2 (b) 0.048 (c) 0.06 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.150422 + 0.850524. Let p = -4.3 - l. Round p to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447*b + 1899*b + 8253*b.\nAnswer: 9705*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**6\/60 - 13*a**4\/24 + 4*a**2. What is the second derivative of w(d) wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5435, 6277, 7673, 9617, 12103?\n\"Answer: -d**3 + 283*d**2 + 5153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*n + 27*n + 40*n.\nAnswer: -33*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n + 15. Give z(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 14 = 54. Let j be (16\/12)\/(d\/18). Suppose 85 = j*m + g + g, -3*m + 83 = 4*g. Is m a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j\/(j**(-3)\/j)))\/j)**(6\/11)\/(j**25*j**(-4)*j*j))**(6\/25) assuming j is positive.\nAnswer: j**(-1662\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -255*m**4 + 496*m?\nAnswer: -3060*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2377.1, 0, 349 in decreasing order.\nAnswer: 2377.1, 349, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -876, -0.8 in ascending order.\nAnswer: -876, -0.8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*m - 30 = -193*m. Which is the second biggest value? (a) -0.2 (b) -0.1 (c) -7 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42034, 42217, 42488, 42841, 43270, 43769, 44332?\nAnswer: 44953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18359629.\nAnswer: 18359629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -888a71 (base 11) to base 7.\nAnswer: -15022400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**3\/6 + p**2\/4 - p - 6. Factor t(v).\nAnswer: (v - 1)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/5 + 111*a\/5.\nAnswer: -a*(a - 111)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*k = -0*u - 16, -3*u - 2*k + 2 = 0. Let v(w) = -w**u + 2*w**2 + w**2. Let x(b) = 2*b. Calculate x(v(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-2 + 1) - -1. Suppose 4*q - v - 4 = 2*q, 2*v + 1 = -i*q. Let u(x) = 366*x**3 - 3*x**2 + 2*x. Is u(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-193)\/(-540) + 314\/6280 - (-1)\/(-3).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (111 - -7) + 13 + -154\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -89 in 2\/19, -3\/2, -17\/131?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a tonne in kilograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(6\/11))**28*(o**(-1\/6)*o)**(-1\/27))**22 assuming o is positive.\nAnswer: o**(27161\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1, 8 in descending order.\nAnswer: 8, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(-1\/2)*(r**(-2\/5))**(4\/9) assuming r is positive.\nAnswer: r**(-61\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -221333040 - 1?\nAnswer: -221333041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2 + 5 + (-1 + sqrt(425) + sqrt(425) + 3 - sqrt(425) - sqrt(425)) + -1*sqrt(425)*-4)*-2)**2.\nAnswer: 800*sqrt(17) + 27300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 1\/4*r**4 + 56 + 2\/3*r**3 - 1\/2*r**2 + r. Determine p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -15 - 9) + -21 + -2 - 5\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6962 = 69*o - 6493. What is the highest common divisor of o and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66130.5 + 35799. Let b = n + 30331.5899945. Let o = -0.09 + b. What is o rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**4 + 6426*p**3 = 0. What is p?\nAnswer: 0, 2142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 3)*(2 - 2 + 1) - 3 - 1 + 6)*(-272124 - 4425*o + 272124 + 16338*o).\nAnswer: 47652*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 7:17 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 940052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -114, -126, -108, -60, 18, 126?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**2 + 3*d - 58. Let q be v(3). Let l = -54 - -43. Put 2, q, l in decreasing order.\nAnswer: q, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -1\/4, -12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1486727 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b - 2. Suppose -h = -b*h. Suppose -5*q + 7 - 2 = h. Solve 2*i + q = 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 74, 115, 160, 209, 262?\n\"Answer: 2*r**2 + 35*r + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 38*z**2 - 41*z + 223. What is h(5)?\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1052, 1 in descending order.\nAnswer: 5, 1, -1052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a factor of 65722356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*t - 0*b + 6*b, -3*t + 5*b - 7 = -6 + 19 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -832*r**3*u**2 + 7*r**3*u - 368*r**3 - 1316*r*u**2 + 35*r*u + 5 wrt u.\nAnswer: -1664*r**3 - 2632*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*c - 3*c. Solve -2*u - 2*q + c - 8 = 0, u = 3*q + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from myfrj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*x + 239 = 538 + 616 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166294*i - 40*i**2 + 75*i**2 - 38*i**2.\nAnswer: -3*i**2 + 166294*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {j: 1, p: 2, n: 1, f: 3, a: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 84\/(-8)*8\/(-6). Suppose 0 = -v + 2*v - d. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 120*c**2 - 449*c - 592. Determine a(116).\nAnswer: 1148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -11*a**4\/24 - 3*a**3\/2 - 8*a**2. What is the remainder when g(-4) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007784499777 to 5 dps.\nAnswer: 0.00778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*((sqrt(700) + sqrt(700) + sqrt(700)*-3 + sqrt(700) + 5)**2*-5 - 3*((-2 + sqrt(700) - sqrt(700))**2 + 2)).\nAnswer: -570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 300 - -22201444?\nAnswer: 22202244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 2 + (1 - 2 - (-105 - -115)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 135563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51.48 + 53. What is s rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -16. Let m = c - -3. Let n = -0.33 + 0.03. What is the closest to m in n, -2\/9, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d**(-8\/5)*d)\/d)\/d)**(-3\/5)*(d*(d\/(d*d**11))\/d*d)**50 assuming d is positive.\nAnswer: d**(-12476\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -756 - -1062. Let a = 306 - t. Solve a = -0*u + 5*u + 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 12*b. Let y(i) = 51*i + 232. Calculate y(v(r)).\nAnswer: 612*r + 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/36375093 and 26\/550647.\nAnswer: 618376581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 81. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57583248?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 2*t - 4*l, -t - 3*t - 4*l = -452. Solve -16*s + t = 31 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -443 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-7 + 10)) + 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 6*w - 6. Let t be j(-8). Suppose -3*z + 5 = -n, t = n - 0*n + 2*z. Solve -2*x = -4*q + n + 10, -q = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 10*d - 32. What is the lowest common multiple of d and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 1, -62, -6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 84?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -2*u**3\/3 + 3*u**2\/2 + 6*u. Let q be g(2). Let f(i) = i + 7. Let w be f(-6). Sort q, w, 4 in descending order.\nAnswer: 4, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - 81\/(-3 + 0). Suppose -j - 4*m = -k, -4*j = 7*m - 4*m - 27. Solve j*s + 20 = 7*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1.1, -2, 3 in ascending order.\nAnswer: -2, -0.2, 1.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1975.1 - -1975. Sort 0.5, o, -4, -0.42.\nAnswer: -4, -0.42, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2402001100 - -224?\nAnswer: -2402000321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + -3*(0 + sqrt(7))).\nAnswer: -10 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2))\/((-6)\/32*((-1394)\/123)\/34)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117 - 96)*1\/9?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 1848, 1, -246, 0 in decreasing order.\nAnswer: 1848, 4, 2, 1, 0, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from {x: 13, z: 2, o: 1, n: 2, j: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5.4 (b) 4 (c) -1 (d) 5 (e) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57879 less than 57877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010383822 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 2*r**2 - 3*r + 1. Let q be b(3). What is the nearest to 1 in 9, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 4. Calculate r(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(104)\/sqrt(4) + sqrt(26)))\/((sqrt(22)*-4)\/sqrt(11)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 8657a7?\nAnswer: 865803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 3*h - 17. Let m = 15 - 6. Is w(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 4)*(569 - 589 + 30*r - 6*r + (4 - 2 + 2)*(2*r + r - 2*r)).\nAnswer: 28*r - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*u**2 - 493*u**2 + 241*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21556364276*h + 27*h**3 + 21556364276*h.\nAnswer: 27*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + -2 + sqrt(405) + 2)*4*-5)**2.\nAnswer: -576000*sqrt(5) + 2752000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1729 and 32053.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 139 and 134704?\nAnswer: 18723856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1816444, 1816451, 1816458, 1816465?\n\"Answer: 7*z + 1816437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*o**2 - 41*o**2 + 30*o**2.\nAnswer: -150*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 420614637.99999948 - 420614627. Let p = z + -11. Round p to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 12*n - 3*n - 4*n + 18*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005492555 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 - 3*d**2 + 4*d**2)*(2778 - 2185 - 1641).\nAnswer: 3144*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 218322 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 5. Let w = -3 + -2. Calculate the remainder when 8 is divided by j(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.6, 84.81, -2?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g - 17 = 7*g - z, -28 = -5*g + z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -0.1, 154\/27, -3150?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*28\/(-21))\/((-54)\/81)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 128389496 - 46389496. Round t to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203.7 - 215. What is p rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 29\/(-87) - (1 + 92\/(-6)). Let n = q - 2. Calculate the remainder when 71 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34269 - 72965. Let k = v - -68509. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -27945\nAnswer: -1\/9315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from wppjjwwwjjjwwwj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-84)\/(-16))\/(-3) + 4\/(-16). Let c be (-77 + -64)\/(s\/6). Calculate the greatest common factor of c and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d = -10. Suppose 3*f + d*f - 63 = -2*k, -4*f + 4*k = -56. Suppose 103 = 4*g - f. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 3. Let f(x) = -x + 2. Let b be f(4). Let p be u(b). Let k be -1 + 1 + p + 0. Which is greater: k or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -14*c**2 + 3*c - 8. Let z(i) = 5*i**2 - i + 3. Suppose 0 = -4*j - 12, 0 = -q + 4*q + 5*j + 72. Let y = q + 8. Determine y*z(g) - 4*s(g).\nAnswer: g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w - 5. Let m(j) be the third derivative of 7*j**4\/24 - 5*j**3\/3 + j**2. Let q(x) = -2*m(x) + 5*u(x). Calculate q(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than 274107.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u - 12 = 26 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67717307909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.111 times -0.2\nAnswer: 0.0222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x - 188 = -5*h - 193, -6*x + 9*x - 4*h = -67 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50883547 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 567 + -563. Let r = 10 - 15. Put -1, 5, x, r in increasing order.\nAnswer: r, -1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 - 2*n**4 + 2*n**4)*(30*n - 5*n - 51*n).\nAnswer: 26*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**3\/3 - 15*k. Let q(d) = -2*d. Give q(h(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -0.01 (b) -11.16 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - i + 2. Sort 0, 22, -4, i in increasing order.\nAnswer: -4, i, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 9, -3*d + 16 = z + d. Suppose 3*w - 64 = -w. Suppose 2*o = 3*p - w, -4*p + 5 + 19 = -z*o. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 10*s - 9. Let y be o(-9). Suppose -4*c + 2*c + 117488 = y. Is c\/84*3\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 14*h**2 - 32*h + 30. What is the remainder when 329 is divided by o(16)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*k - 2. Let q = 252.54 + -252.14. Put q, -3, k in decreasing order.\nAnswer: k, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 + 2*f**2 - 3*f**3 + f**3 + 22*f - f**3 - 306.\nAnswer: -4*f**3 + 2*f**2 + 22*f - 306","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.3 - 10. What is the smallest value in v, -1, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 176466486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbqmmxh. Give prob of picking 1 h and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from bbdrabdprrra?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447261?\nAnswer: 3, 149087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 31*j - 11. Let n be p(6). Suppose -2*r - 5*r = -n. Solve 5*k + r = -2*l, 3*k + 0*l + 14 = -l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -14 (b) 1 (c) 28 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1329248.\nAnswer: 2, 41539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43.6 + 46.6. Which is the second smallest value? (a) -1\/2 (b) g (c) 16\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -21)\/(2 + -3) - (-101456)\/4352?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.42846 and 0.25.\nAnswer: -0.607115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -4. Suppose c + 10 = 5*i - 4*b, 0 = -2*i - 4*b + 24. Suppose 5 = i*m - m. Which is smaller: m or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 w when four letters picked without replacement from lllww.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39, -65, -109, -177, -275, -409?\n\"Answer: -s**3 - 3*s**2 - 10*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-10) - (-11)\/2. Find the second derivative of -19*h**2 + p*h + 11*h**2 + 0*h wrt h.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 + 2*y + 40. What is the hundreds digit of x(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152339 and 5918?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -111 + (-4 - -3)*-6. What are the prime factors of (-41460)\/b + (0 - 2\/(-14))?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1644, 6575, 14794, 26301, 41096, 59179?\nAnswer: 80550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n - 8. Suppose 14 = k - 2. Suppose k = 5*r - 14. Solve p - 5*b + 4 = -r, -2*p - 12 = -n*b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317497607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 17*b - 276. Let a(s) = -s**3 + s - 6. What is the remainder when b is divided by a(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29634*d*m**3 - 4*d*m - 464*d + 8 wrt m.\nAnswer: 177804*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 72 = 62. Suppose 3*x - 9 = -f, f - w*f = -5*x + 15. What is the smallest common multiple of x and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/10))**(-8) assuming j is positive.\nAnswer: j**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 973329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2+-0.56573970991066\nAnswer: 1.43426029008934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6*x = 5*x + 34, -4*x - 44 = -2*f. Let l be 0*((1 - 0) + 0). Suppose 3*g + l*g - f = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l**5\/5 - 270*l**4 - 2334*l**3\/5 + 668*l**2\/5 = 0 for l.\nAnswer: -167, -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 1788*g - 176625.\nAnswer: -3*(g - 471)*(g - 125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 - -151. Suppose 489 + j = 5*y. Does 39 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232584.\nAnswer: 2, 3, 11, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 163, 0, -32, 43 in ascending order.\nAnswer: -32, 0, 43, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 2*c**2 + c)*(8*c**2 - 5*c**2 - 2*c**2) + 2*c**4 + 3*c**4 - 2*c**4 + (0*c**2 + 0*c**2 + 2*c**3)*(0 + 0 + 2*c) + 0*c**4 - 2*c**4 + 4*c**4.\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 36. Let y(z) = -2*z + 39. Give 5*m(w) - 4*y(w).\nAnswer: 3*w + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7\/4 of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 3\/4 (c) 0.1 (d) 69 (e) 202\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, 252\/13, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, t: 3, y: 1, f: 2}. Give prob of picking 2 x.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4*v + 44 = -3*m, 0 = -5*m + v - 23 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -110100101100111101111111?\nAnswer: -110100101100111110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (0 - 12)\/((-456)\/4256) and 24?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15250)\/3904 + -4 + 8?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460206583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 9*i - 156. Let t(h) = -h + 23. Let c be t(i). Sort -5, 2, 4, c.\nAnswer: c, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -157, -150, -143, -136?\n\"Answer: 7*z - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5 - 3*m - 3*m + 0. Is o(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, 2, -107, -2 in ascending order.\nAnswer: -107, -8, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12)\/18 - 290\/(-96) and -115\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*c + 11, 5*c = -0*c - r + 13. Determine h so that 44*h**3 - 41*h**3 + 2 - 4 - 3*h + 4*h**2 - c*h**4 = 0.\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/133 and -97\/236982060.\nAnswer: 236982060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22136814 a multiple of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36533 - -32630.7. What is k rounded to the nearest ten?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5\/3)*j*j)\/((j**18*j*j)\/j))**(7\/11) assuming j is positive.\nAnswer: j**(-392\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.056 + 0.044. What is the third smallest value in -3, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 9 - 15. Suppose 4 = s - n. What is the least common multiple of 7 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 1\/13, 0, 2\/3, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aoaxpojyajpaaaaaaa. Give prob of picking 1 y, 1 o, 1 j, and 1 a.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 j, and 2 c when four letters picked without replacement from {c: 2, t: 2, j: 7, m: 1, z: 1, y: 2}?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31831\/7 - 4\/14*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 9:54 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100522 = -66*v + 123*v - 19349. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 39 = 2*t. Suppose -3*b = -t + 1, 10 = 3*m + 4*b. Let c = 206 + -209. Put m, -5, c in decreasing order.\nAnswer: m, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 1:23 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 19 + 3227 + -20 + 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*u**2 - 5490*u + 16344.\nAnswer: 2*(u - 3)*(7*u - 2724)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 83, 85, 87, 89?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*y - 54*y + 3*y**2 + 5*y**2 + 5 - 5*y**2 - y**2 in the form i*y**2 + a*y + o and give a.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, c: 1, z: 1, l: 1, t: 1}. Give prob of picking 1 c, 1 x, and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473 = 3*k + y - 970 + 484, 54*y = k + 50 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = -12*x. Let h be x\/(-4) + -5 + (-3209)\/4. Round h to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from {u: 4, p: 1, v: 4, q: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*n - 79 - 215 = 0, -3*n - 78 = -j. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*z - 152*z - 6902 = 0. Calculate the remainder when z is divided by 130.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7, -21, -37, -55, -75, -97, -121?\n\"Answer: -r**2 - 11*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-18))\/((-4)\/22) + -1\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 - 4*b**3 + b**3 + 1 + b**3 - 1 + (-6 - 3*b + 6)*(36*b**2 + 36*b - 36*b) in the form u*b + i*b**3 + x*b**2 + y and give i.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**2 + 15671*l - 6196924. What is r(431)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122337 and 691794?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = x - 22, -7*x - 12 = -3*x + 5*l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.959393 days in hours?\nAnswer: 215.025432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 5*j + 8 - 3*j**3 - 2*j in the form v*j**3 + p*j + l*j**2 + b and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 61.\nAnswer: 3, 4, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 346509 and 4.17.\nAnswer: 1444942.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/11 (b) 3\/19 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48)\/27 + 8\/(-36). Let n be (1\/s)\/((-2)\/(-12)). What is the second smallest value in -2, 0.2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + m - 8 = 0, -3*g - 3*m + 3451 = 3427 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -51, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 873074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 247 - 249. Let v be 1296\/126 - f\/(-7). Solve v + 0 = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-5))\/(28\/(-35))*((-29720)\/5880 - -5).\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2284490851.\nAnswer: 263, 8686277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -561416350?\nAnswer: -561416344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.0022*0.041432\nAnswer: 0.0000911504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 89, 203, 363, 569, 821, 1119?\nAnswer: 1463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.011 - -1.989. Let y = -5 - -5.1. What is the closest to y in r, -3\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13501275 is divided by 2323?\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 8*k**2 - 19*k - 5. Let z be c(10). Suppose 2*l = -2*w + 10, 21*w + 43 = z*l + 17*w. Solve -l*a + 4 = -8*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -132.7 - -133. Which is the third smallest value? (a) -2\/71 (b) -1\/4 (c) t (d) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -53, -117, -235, -413, -657?\n\"Answer: -l**3 - 21*l**2 + 6*l - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -44. What is the hundreds digit of (a\/4 - 32)\/(18\/(-120))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = -3*p, -4*q + 3*p + 2*p + 18 = 0. Let s(i) = 11*i**3 + 3*i**2 - 7*i + 5. What is the tens digit of s(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 681, 817, 955, 1095, 1237?\nAnswer: 1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**4\/4 + 2*z**2. Let g(b) = b - 3*b + 0*b. Calculate g(o(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 h, and 2 b when four letters picked without replacement from {h: 3, d: 4, a: 3, o: 4, b: 2, m: 1}?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l**2 + 24*l**2 + 2*l + 7*l**3 - l**3 - 3*l**3 to the form w*l + j*l**2 + n*l**3 + d and give j.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/4)\/((-45)\/36). Suppose -2*c - 1338 = -i*v, -4*c + 655 = 2*v - 713. Round v to the nearest ten.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + (0 - (6 - 2)). Let v be ((-84)\/12)\/(w\/(-3)). Suppose -5*z = 2*o - 23, 0*z = -5*z - 4*o + v. Solve -z*r - 9 = -j - 0*j, -j + 8 = -4*r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 3*p - 10 = 14, 4*x + 4*p = -8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 4*a + 4*a)*(0*a**3 - 4*a**3 + a**3) + 0*a + 2*a**4 + 0*a - 2*a**4 + a**2 - a**2 + (2*a**4 + 1 - 1)*(0 - 3 + 2).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18681*s**3 + 20540*s**3 - 39222*s**3 - 14*s.\nAnswer: -s**3 - 14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*l**3*w**2 + l**2*w - 766*l*w**2 wrt l.\nAnswer: 468*l*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -95113912 divided by -4?\nAnswer: 23778478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) 5 (c) 2\/13 (d) -306.47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4)\/(11\/(-88)). Suppose -y + 304 = 2*s - k*y, -y + 157 = s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22429 is divided by 1369?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -13*w**5\/20 + 7*w**3\/6 - 15*w. Find the second derivative of i(t) wrt t.\nAnswer: -78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186581405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10164, -10300, -10536, -10878, -11332?\nAnswer: -11904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.32 times -8216?\nAnswer: 19061.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97826 and 1846764?\nAnswer: 2386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 60444 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -61 + 7. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3192381 is divided by 18347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -5.4795733.\nAnswer: -16.4387199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a + 38*a = 0. Solve a + 1 = 4*w - 3*o, 5 = -4*w + o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 4.13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 260*u**2 + 31*u**2 + 681 + 142*u**2 + 62 with respect to u.\nAnswer: 866*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 8*c - 85. Let o be 4 + (c - 1\/(-1))\/(-1). Solve -5*b + 45 = o*g, -2*g = -4*b + 17 - 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxqqvvqxqvvvvqvvvvx. What is prob of picking 1 x, 1 v, and 1 q?\nAnswer: 200\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 665666.1 millilitres?\nAnswer: 665.6661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-48) - 54\/(-16). Differentiate 0 + 36 - 28*r**f - 3 with respect to r.\nAnswer: -84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u. Let w be 4\/(-18) + 141\/27. Suppose 33 = 3*z + 3*d, 2*z + w*d - 24 = d. Suppose -2*a - 3*a = z. Give c(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4403809464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5017 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111100 (base 2) to base 9.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3105923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 17*y**5\/30 - 31*y**4\/24 - 8*y**2. Find the second derivative of u(z) wrt z.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c**2 - 3. Let y(b) = -b**2 + b**2 - 2*b**2 + 1. Let g(o) = 2*s(o) + 7*y(o). Differentiate g(z) wrt z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2655 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*p + 15*p + 468 = 11*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2479349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/10, -18, 5, -8?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, d: 1, e: 2}. What is prob of picking 1 k and 2 e?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 4*x - 48 = 0. Suppose -2*f = -y + 68, 63 = x*f - 3*y + 203. Is f at most as big as -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 6*t - 80. Let w be (t\/(-4))\/((-10)\/8). Is 4 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 41313?\nAnswer: -41311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97 and 83689369.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*t + 8*t + 158 = 37*t. Solve 6*r + 2*g = 5*r - t, 2*r + 5*g = -6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2458, 2381, 2214, 1957, 1610?\nAnswer: 1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 8 = 4*b, 0 = 2*h - 0*h - 2*b + 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 (base 2) in base 6?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-5)*k))\/((k*k**(-2\/11))\/k*k)*k\/((k**(1\/6)*k)\/k*k*k)*(k\/k**(-4))\/k assuming k is positive.\nAnswer: k**(-263\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 31*w = 28*w - 194, 2*l - 4*w = 72. What is the remainder when 919 is divided by l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129929 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74189\/42 or 1765?\nAnswer: 74189\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103 - -102.94. Which is the second biggest value? (a) 0 (b) x (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 10*d - 1100*d + 2 + 4.\nAnswer: -1090*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 46*j - 23. Let i(l) = 2*l**2 - 45*l + 23. Let a(g) = 3*i(g) + 2*o(g). Let k be a(21). Is 168\/8 + (-2 + k - -2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55936)\/(-461472)*(11\/46 + 0)\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1294798 + -4574521274\/3533. Let i = 337901\/282640 + a. Calculate the common denominator of i and -75\/4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1163392 plus 0.98?\nAnswer: -1163391.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 2*t - 90 = 0. Let u(v) = v**2 - 2*v - 2. Let r be u(5). Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 9*o**2 - o + 15. Let x be f(9). Suppose 3*z + 2*l = 25, -x*z - 5*l + 50 = -z. Suppose 16 = 5*t - 9, k - 3*t = -12. Which is bigger: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200766 (base 9) to base 10\nAnswer: -118725","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 41*v - 46*v + 20 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -11*m + 106. Let s(p) = 3*p. Give 3*s(b) + y(b).\nAnswer: -2*b + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 + 1 - 1 - 77 - 32*w**5 + 77 + (2*w**4 - 3*w**4 + 2*w**4)*(-1 - w + 1).\nAnswer: -34*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -688\/217 + 309464\/90489. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -879.1 + 31.1. Which is bigger: x or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 26 (b) 3\/8 (c) 584.87 (d) 0.59 (e) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 41. Let k be x(0). Let w = k - 23. Calculate the least common multiple of w and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -58*l + 544. Does 54 divide z(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4841 != -4841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 2*p**3 - 438. Let d(g) = -g**2 + 8*g - 3. Let q be d(7). Let b(y) = -2*y + q*y + 0*y. Calculate r(b(h)).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -159\/15212 or -1?\nAnswer: -159\/15212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 267634 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/17 - 908*c**2\/17 + 25890*c\/17 - 190800\/17.\nAnswer: 2*(c - 424)*(c - 15)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -37.02. Are -3 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*a = 2*a + 7, -4*g - a = -49. Let q(o) = -9*o. Calculate the least common multiple of g and q(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 825678, 825692, 825724, 825780, 825866?\n\"Answer: h**3 + 3*h**2 - 2*h + 825676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 89 = 4*u. Let t = 107 + u. Round t to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*y - 72 = 79*y - 150*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38981?\nAnswer: 17, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*(-8)\/((-224)\/12).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 84\/25, -14, 6, -8\/3?\nAnswer: 84\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 1512 = 27*c. Suppose -1503 = 75*q - c*q. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5268*u**4 + 19*u**3 + 5838*u**2 - 13 wrt u?\nAnswer: 126432*u + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 1\/3 (c) 2\/13 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 b when four letters picked without replacement from {b: 15, a: 4}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2177540, -4355077, -6532614?\nAnswer: -8710151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21238 by 26.\nAnswer: -10619\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1\/b*b)**25)**(-8\/7) assuming b is positive.\nAnswer: b**(-200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 112501744 a multiple of 3868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 39. Suppose -x = 5*p, 2*y = 5*y - 5*p - 159. What are the prime factors of y\/9*6\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (2 - 2) + -3 + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621559.\nAnswer: 67, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2. Let j = -6 - h. Let b = 7 - j. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -14*n + 1002. Let b be j(23). Solve 2*a - 682 + b = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153809 divided by 7\nAnswer: 153809\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -c + 1037, -5*w + 1554 + 585 = 2*c. Suppose -z = 5*d - 1725, -5*z + c = 3*d - 0*z. What are the prime factors of d?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(171) - -1*(sqrt(171) - -1*sqrt(171)))\/((sqrt(72) + 2*sqrt(72))\/sqrt(8)) + ((sqrt(76) - ((sqrt(76) - 2*sqrt(76)) + sqrt(76)))*4)\/(3*sqrt(16)).\nAnswer: 3 + 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5262*g*j**3*r + 171*g*j**3 + 2*j**3*r + 5*j**2 with respect to r.\nAnswer: -5262*g*j**3 + 2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1005769.79979 + 1005774. Let v = -4.2 + j. What is v rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjp when three letters picked without replacement from {f: 1, j: 6, p: 8}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.06, 0.4, -2\/7, -2 in decreasing order.\nAnswer: 0.4, 0.06, -2\/7, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2))**(-17)*(r*r\/(r*r\/((r\/(r\/(r\/((r**(-1\/2)*r)\/r)*r)))\/r)))**(-11\/5)*(r\/(r*r**(1\/3)\/r))**11\/(r**(3\/10)*r*r**(-3)) assuming r is positive.\nAnswer: r**(-679\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11021013120 (base 4) in base 3?\nAnswer: -2112111012000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 1 - 1)*(-6*g**2 + 3*g**2 + g**2)*(-1 + 0 + 0).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -d. Let f be 72 - (d + 0 - -1). Suppose 4 = 5*s - f. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6807*a**4 + 16401*a?\nAnswer: 81684*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 6. Let g be z(-8). Suppose -5*m = -5*x - 410, -g*m + 168 = 3*x - x. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a + 4 - a**3 - 5 + 2*a**2 + 2*a**2. What is d(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 11 = -9*c. What is the remainder when 3 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*u - 1. Suppose g + 2*g + 6 = 3*j, -12 = 3*g + u*j. Let z(k) = -k**2 - 6*k + 3. Let q be z(-7). Which is bigger: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/(1020\/50) - 10\/12. Sort z, 1, -225 in decreasing order.\nAnswer: 1, z, -225","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 + 15*g**2 - 9*g - 10. Let b be v(-8). Let u(j) = -j. Let p(l) = l**2 + 3*l + 2. Calculate b*u(o) - p(o).\nAnswer: -o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 11, -76, -215, -400, -625?\nAnswer: -884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -2 - -28*((-240)\/(-14))\/(-20)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2059 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -66*w - 2. Let a be j(-1). Suppose -5*v - 98 = -4*b, 0 = -3*b + 2*v - 3*v + a. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0)**(-2\/57)\/(m**(-1\/4)\/m)**22)\/((m**(8\/3)*m**(-4))\/(m**(-3)\/m**(-4\/3))) assuming m is positive.\nAnswer: m**(1031\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14907, 13886, 12807, 11670, 10475, 9222?\nAnswer: 7911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -208*g**4 - 5*g**2 - 8*g?\nAnswer: -4992*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -707, -711, -715, -719?\n\"Answer: -4*u - 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -278, -879, -2038, -3941, -6774, -10723?\nAnswer: -15974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 9*x + 17. Let b be v(-11). Let m be (30\/8)\/((-9)\/36). Let z be (-6)\/m + 4\/(-10). Sort 3, z, b.\nAnswer: b, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 4*h + 4. Let m be q(-3). Let c(o) = 2*o**2 + 2*o - 1. Let x be c(m). Suppose -18 = -x*i + 6. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) 1\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2353*20\/(-3465) - 4\/(-9)) + -14?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 228*(-3 - 2)*64\/(-1200)*40. Calculate the greatest common divisor of a and 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 307*u**2\/2 + 1544212*u + 20120 = 0?\nAnswer: -10060, -4\/307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)\/x)**13\/(x**(-1\/4)*x\/x**(-4)*x))\/(x\/(x*x\/(x\/x**(-10)))*x*x\/(x\/((x*(x\/(x**(-11)\/x)*x)\/x)\/x)))**(-1\/11) assuming x is positive.\nAnswer: x**(-1873\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5\/11 + 292*a**4\/11 + 29276*a**3\/11 + 84848*a**2\/11 - 29274*a\/11 - 7740 = 0. Calculate a.\nAnswer: -66, -3, -1, 1, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 - 5*k**3 + 0*k**3)*(-2*k**2 + k**2 + 6*k**2).\nAnswer: -10*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7855, 15013, 22125, 29191, 36211?\nAnswer: 43185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 44713 - 44713.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-95)\/(9880\/(-156)))\/((1\/(-8))\/((-45)\/660))?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edec when four letters picked without replacement from {e: 2, d: 1, n: 2, l: 1, c: 1, t: 2}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 5*r - 1. Let b(s) = -2*s + 4. Let y be b(3). Let w be i(y). Solve 3*n - 7*n = -w*p + 11, -p + 1 = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 7*p**2 + 15*p - 1. Let k be s(6). Let g be (16 + -1)*24\/12. Let l = k - g. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6561, -12678, -22873, -37146, -55497?\nAnswer: -77926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 6\/11, 3\/5, -1\/2.\nAnswer: -1\/2, 0.1, 6\/11, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w - 14. Let v = -66 - -61. Let u be z(v). Does 39 divide (-5712)\/u - ((-34)\/14 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.12 (b) -5 (c) -0.5 (d) -80\/91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 divided by -3?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 5*d - 49, 3*m = -7*d + 8*d + 32. Suppose -2*q = -3*l + 32, 2*l - 13 - m = 4*q. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-1)\/(4 + -3). Suppose -7 = -2*k - w. Suppose -k = 4*j - 7. Solve h + 0*h - j = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 21*v**2 - 123*v - 1207. Determine t(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 144 = 196. Is 41\/(657\/1113 + r\/(-35)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 6. Let p be s(4). Let d(a) = 39*a - 11. Is d(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + x)*(-2 + 0 + 0) - 2*x + 1 - 1 + 4 + 6*x - 4)*(1 + 7 - 4)*(-2 + 3 + 0).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25237, -25370, -25591, -25900, -26297, -26782?\n\"Answer: -44*l**2 - l - 25192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (300\/(-400))\/((54\/(-1920))\/(-1*(-30)\/25)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) -5 (b) -7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -21. Let a(h) = -h**3 + 5*h**2 + 5*h - 1. Let x be a(6). Let z = s - x. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 3*f**2 + f + 2. Let c be z(2). Let i be (c + -4)*(-1 + 2). What is the units digit of (-34)\/(-6) + i\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.00403648 and -7.8.\nAnswer: -7.79596352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -70921 at most as big as -70739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 5*l - 4*l)*(2*l - 2*l + l) + 0*l + 0*l + l - 2*l**2 + (-2*l - 3 + 3)*(404 - 24*l - 404).\nAnswer: 48*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -391, 6, -4, 59.\nAnswer: -391, -4, 6, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 609 = -44. Calculate the remainder when s is divided by (29*1)\/(14\/(-2) + 8).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35738367025\/1503 + -71334050\/3. Let w = -14\/167 + n. Let i = 69\/19 - -137\/114. Calculate the common denominator of i and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/((-12)\/4) + -3. Suppose -5 = -2*j + x. Suppose -5*y - d = 2*d + 37499997, -j*d + 7500003 = -y. Round y to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - w**2 + 2*w**2)*(-1 + 2*w + 1) - 3*w - 2*w**3 + 3*w - 12*w**3 + 2*w**3 + 5*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3\/2 (b) -4 (c) 308 (d) 0.192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44508 is divided by 5439.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyygpnyyyggggyyyg. Give prob of picking 1 y and 1 g.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 22721 (b) -3\/2 (c) 5 (d) -0.06 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 0*v + 6*v)*(0 + 1 + 1)*(14 + v - 14).\nAnswer: 12*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 125 + -175 + 179 + -217\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24915 minus -52587502?\nAnswer: 52612417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = -2*h - 645*j + 650*j - 43, 5*h - j + 4 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (4\/10)\/((-1)\/(-15)). Solve -2*y = -y + z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -106212 + -5.\nAnswer: -106217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 1. Suppose 3*p - 155 - 52 = 0. Suppose -4*r + 5*r + 5*f - 79 = 0, -4*f = -12. Let u = p - r. Calculate h(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2564757812 rounded to four decimal places?\nAnswer: 0.2565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 88 = 18*l - 7*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13340, -24516, -35692, -46868?\n\"Answer: -11176*h - 2164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1260138711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36282562 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -6)\/(1 - (-99)\/(-234)) + -9?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8200077 less than 4574818?\nAnswer: 4574818.8200077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(1300)*2 - sqrt(1300))*-5 - sqrt(1300)) + -1*sqrt(1300)*-1)**2 + ((2 + sqrt(1300) - sqrt(1300))*-4*-1)**2.\nAnswer: 32564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (-60)\/(-18) - 106\/(-6). Suppose -3*k - 7*s + i = -6*s, 2*k - 4*s - 26 = 0. Is 12\/(-4) - k\/((-28)\/656) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*w**3 - 303*w**2 + w + 3927 wrt w.\nAnswer: -78*w - 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022010001022 (base 3) in base 2?\nAnswer: -100101010011110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_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: Suppose 5*l - 2*c - 498225 = 0, -5*l + 6*c = -311299 - 186946. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 55*s**2 - 73*s**2.\nAnswer: -128*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eees when four letters picked without replacement from {e: 6, s: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4\/5 (b) 0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u + 21*u - 96 = 0. Let d = u + 35. Solve b + 2*v = 4*b - 2, b - d*v = -4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13250)\/(-2120))\/((1\/(-15)*-2)\/((-16)\/(-10)))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*w**4 + 94*w**4 - w - 2*w**3 - 64*w**4 - 82*w**2 to t + r*w**3 + f*w + g*w**4 + u*w**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51215 plus 2151523?\nAnswer: 2202738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/15)\/(2\/(-25)). Suppose 4*h + h = 0. Let b = c + h. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 762 - ((-255)\/30 + 5)*8\/(-14). Calculate the highest common factor of 640 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, -1, 254, 10.\nAnswer: -59, -1, 10, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1225172833?\nAnswer: 2069, 592157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/11 + (6 - 11008\/440). Which is greater: -20 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.223493ml to litres.\nAnswer: 0.004223493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -132*u**3 + 3*u - 13. Let m(z) = 132*z**3 - 4*z + 12. Let w(n) = -3*m(n) - 4*y(n). Find the first derivative of w(v) wrt v.\nAnswer: 396*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 738 and 15826.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136362368 - 346905868943\/2544. Let m = s - -25\/53. Find the common denominator of m and 41\/3*(-3)\/(-33).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52350293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -11*w + 12*w - 17*w + 20. Is i(-3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 61 (b) 3\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/720 and -43\/7495.\nAnswer: 1079280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 129816407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**2 + 37*g - 26. Let h(p) = 4*p**2 + 26*p - 27. Let t(i) = -3*b(i) + 4*h(i). What is t(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 351\/4 or 4\/287?\nAnswer: 4\/287","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 8) to base 4.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (12 - -2)) + 48 + -31\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 239094*q**2 + 239113*q**2 - 478201*q**2 + 2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-2 + 13 + 2 - (-5537 + 5413)).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(3\/5)*v))\/(v\/(v*(v**(2\/9)*v)\/v))*(v*v**2\/v)**(4\/7) assuming v is positive.\nAnswer: v**(-74\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -99 (b) -10 (c) 0.509 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2936924 and 58947?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*a = o - 150, -4*o = 2*a - 296. Let c = -52 + o. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 4*t**2 - 7*t + 4. Let q be g(5). Let j be 100*-3*q\/9. Round j to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/30318 and 38\/4155685?\nAnswer: 772957410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-52)*(3 - (-8)\/(-3))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*w - 1352, -n + 2*w = -406 - 42. Suppose 3*g + n = 99. Let a be 4\/(-34) + (-252)\/g. Solve -a*o + 2 = -0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243\/(-162)*(264\/9)\/4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.8 - 46.5. Let x = 16.69999412 + k. Round x to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 164.750289 to 1 decimal place.\nAnswer: 164.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 1, i: 2, t: 8, d: 3, q: 5}. What is prob of sequence dj?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 153\/4 (c) -22197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 448674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i + 4*j = -1080, 5*j + 1440 = 4*i. Let p = -237 + i. What are the prime factors of p?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 - 0.07. Let o = 0.04 + z. What is o rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -185, -921, -2165, -3923, -6201, -9005?\n\"Answer: -d**3 - 248*d**2 + 15*d + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -2, 3342, -1, -38 in descending order.\nAnswer: 3342, 0, -1, -2, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 0. Let c(j) = -25*j**2 + j - 1. Let z be c(o). Let w = z + 270. Does 29 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 28\/4181, -2\/21?\nAnswer: 28\/4181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**4\/7 + 818*p**3\/7 - 347*p**2 - 13028*p\/7 - 9780\/7 = 0.\nAnswer: -2, -1, 6, 815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 44, 2, -0.3, 437\/7, -5 in descending order.\nAnswer: 437\/7, 44, 2, 1\/2, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**6\/240 - 7*o**5\/40 + o**4 - 27*o. Let j(r) be the third derivative of f(r). Is 7 a factor of j(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.159 - -6.159. Which is the closest to 1? (a) s (b) 7.9 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -k - 3, 2*o - 4 + 2 = 0. Suppose t + 3 = k*t. Suppose t*b = 14 + 4. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kttkkt. Give prob of sequence ktt.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 121*x**3\/4 - 1205083*x**2 + 11989799904*x + 240278273280.\nAnswer: (x + 20)*(11*x - 219216)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -5*f + 3 - 1\/3*f**4 + 35*f**2 - 1\/3*f**3. What is the derivative of s(l) wrt l?\nAnswer: -8*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 199120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llvl. Give prob of sequence ll.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 968157.9 years to centuries.\nAnswer: 9681.579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -14*g**5\/3 + 2*g**3\/3 + 1762*g**2. Let l(x) = -x. Calculate t(l(h)).\nAnswer: -280*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 10:25 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 243010 (base 6) to base 13\nAnswer: 9975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94 - -99. Suppose 5 = i, 0 = -y*j + 3*i - 12 + 37. Calculate the remainder when 103 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**16*m)**26 assuming m is positive.\nAnswer: m**468","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -177162, -354327, -531492?\n\"Answer: -177165*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.289 and -0.0361.\nAnswer: -0.0104329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002 (base 7) in base 13?\nAnswer: 40c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29776 is divided by 4399.\nAnswer: 3382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 6*u**2 + 6*u - 3. Let i be j(5). What is the units digit of 82\/6 + i\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -y + 575, y + 0*p - 582 = -5*p. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(112)*-2)**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6147310*u - 6147189*u + 5203 = 0 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41194?\nAnswer: 2, 43, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from {i: 1, b: 3, q: 12}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**4\/12 + 2*h**3\/3 + h**2. Suppose -4*n + 12 = -w, 5 = 4*n - 3. Give d(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 93*d**2 - 915*d + 819.\nAnswer: 3*(d - 7)*(d - 1)*(d + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -9*n + 108. Let t = n - -349. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = w - 12. Suppose 0 = b + 3*b - 20. Suppose -b*d = -18 - w. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03, -0.15, 50, 6?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**4\/12 - f**3\/2 - f**2 + 3*f. Let g be ((-30)\/4)\/(4\/(-16)). Suppose -2*z = -10, 2*t + 4*z - g = -0. Determine d(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252721 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = 16280*n - 16273*n + 62. Let c(d) = -3*d**2 - d. Let g be c(-1). Does 6 divide (16\/g)\/((-3)\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228291 is divided by 252.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - -6 - (396 - (-2 + 3)). Let k = q - -419. What is the remainder when 140 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4161571 (base 9) to base 6.\nAnswer: 115410401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rarrrrararrrar. What is prob of sequence ar?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*x + 4*x = -652, -2*x = -3*n - 656. Let g be (0 - n\/(-10))\/(2\/10). Let u = g - -4. Round u to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81.232475 - -0.156525. Round d to the nearest integer.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 42. Suppose -l - 17 = -j. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 13*s**2 - 8*s. Let x(c) = -7*c**2 + 4*c. Let k(i) = -4*d(i) - 7*x(i). Let m(o) = 12*o**2 - 15*o. What is 15*k(y) + 4*m(y)?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, q: 2, w: 4}. Give prob of sequence weqq.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3\/15 + 32*q**2\/15 + 58*q\/15 + 28\/15 = 0. Calculate q.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -74, -70, -66, -62, -58?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -20*j - 4. Let r(s) = -10*s - 2. Calculate -2*d(q) + 5*r(q).\nAnswer: -10*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3220.71481 rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3*-1)\/(4\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-8\/7))**5)**(-8\/7) assuming i is positive.\nAnswer: i**(320\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 12*d**2. Let k(q) = -14*q + 1. Determine r(k(x)).\nAnswer: 2352*x**2 - 336*x + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 50\/(-45)*30*-2070. Let p(b) = -b + 1. Let m be p(-3). Suppose 0 = t + 2*n + l, 0 = m*t - n + 226953 + 49047. What is t rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/i**(-2\/41))*i\/(i**(-12)\/i)*(i**(1\/10)*i)\/i*i**(9\/5)*i assuming i is positive.\nAnswer: i**(6909\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1766?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18743528 to three decimal places.\nAnswer: 0.187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 693573, 1387146, 2080719, 2774292, 3467865, 4161438?\n\"Answer: 693573*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6b - 19b162?\nAnswer: -19b0c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 i, and 1 q when three letters picked without replacement from igyquqlqyuiq.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 4:42 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3215 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m + 1. Let x(u) = 39*u + 18. Let f = -5 + 15. Let j be 176\/f + 14\/35. Let s(g) = j*p(g) - x(g). Let k(v) = 2*v. Determine s(k(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**1)**(-23)*(q\/q**(-4\/3)*q)\/(q*q**(-15\/4)*q) assuming q is positive.\nAnswer: q**(-491\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 - 2. Let p be x(-3). Let n = p + 8. Let g be (-166)\/(-6) + (-4)\/n. Solve 0*w - 4*w - 4*c = 0, 5*w = 2*c + g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 5:42 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/4 - (-14)\/8. Suppose x*y + 2*y - 140 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) -153 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + -7743296?\nAnswer: -774329c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 25. What is o in 2\/3*o - 2\/3*o**3 + j - 2\/3*o**4 + 2\/3*o**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h + 1. Let j(f) be the second derivative of f**3\/2 + f**2 - 2*f. What is -3*j(b) + 5*o(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*v - 25409, -3*m = 2*v - 7363 - 5334. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843989 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**12)**11*(c**(-6)*c)**(-22\/5) assuming c is positive.\nAnswer: c**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*o + 14*o - 46*o - 8*o)*(-23 + 23 + 15*o**2).\nAnswer: -405*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*k - 42*k + 22*k - 746*k**3.\nAnswer: -746*k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, r: 2, a: 3, p: 3, w: 3}. What is prob of picking 1 a, 1 w, and 2 l?\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2 + 2471090*u - 1526571447025 = 0.\nAnswer: 1235545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9205, -36808, -82811, -147214, -230017, -331220?\n\"Answer: -9200*m**2 - 3*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c. Suppose -n = n. Let h(t) = t + n*t - 487*t**2 + 473*t**2. Give h(x(z)).\nAnswer: -56*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-80713640.\nAnswer: 24214092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 23. Calculate the remainder when ((-6)\/o)\/(1\/15) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z + 15 + 48 = 0. Let q(l) = -23*l - 14. Is q(z) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -168, -251, -436, -771, -1304?\n\"Answer: -8*z**3 - 3*z**2 - 18*z - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53.909 - -54. Let w = 0.645 + l. What is w rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1550036943.\nAnswer: 3, 7, 13, 270371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(272) + -5)**2 + 3.\nAnswer: 80*sqrt(17) + 1116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2391, -2365, -2339?\n\"Answer: 26*s - 2417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-15) - 19599\/48885. Let c = r + -185733\/32590. What is the common denominator of ((-3)\/16)\/((-1)\/12) and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2. Let q(t) = -572*t**2 - 24. Let k(p) = -p**2 + 4. Let v(i) = 6*k(i) + q(i). Calculate v(d(l)).\nAnswer: -2312*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2. Suppose -h + 2 = h. Let m be (h\/(-2))\/((-2)\/4). Let r(p) = -m - 2*p**2 + 1. What is r(b(u))?\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -475150 divided by 425\nAnswer: -1118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 35*s**3 + 5844*s**2 - 161*s - 520. Calculate v(-167).\nAnswer: -1522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 838*u - 833*u - 2295. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**6\/75 + 41*v**5\/2 + 1023*v**4\/10 + 3067*v**3\/15 + 1022*v**2\/5 + 3408*v. Let a(g) = 0. What is g?\nAnswer: -1022, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33987.\nAnswer: 3, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64465 is divided by 2552.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1251299 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.1. Suppose 0 = -2*c - 5*v + 16, v = 4*c - 4*v + 28. Let k be ((-7)\/(-21))\/((-1)\/c). Put 0.02, k, i in increasing order.\nAnswer: 0.02, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27\/(-18) - (-1 - 1). Let p(z) = -z - 6. Let j be p(-7). Let a = j + -2. Which is smaller: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a**2 + 10*a**2 + 16*a**2)*(0 + 2 - 3)*(-4 + 0 + 2)*(7 - 22*a - 7).\nAnswer: -792*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-10)*(-7660)\/4596*-18.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 3*x**2 + 3. Determine d(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 6. Suppose -k = -5*a + 7, -a - 3*a - 3*k = p. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*k + 4*i, k = i - 5*i + 4. Suppose 4*x - 10 = -3*b, -x = -b - b - k. Suppose -3*z + 2*z + 11 = 5*w, -x*w = -3*z - 5. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168429383 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*x + 32 = 415*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.542 - 1.249. Round d to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 161666, 161664, 161662, 161660, 161658, 161656?\n\"Answer: -2*w + 161668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p = -72*z + 74*z + 52, z = 5*p + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 10*y - 8*y. Let i = y - 5. Find the third derivative of i*u**4 - 13*u**2 + 44*u**2 - 3*u**2 wrt u.\nAnswer: 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 608\/(-48)*(-294)\/(-196).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 3. Let u be ((-12)\/(-8))\/(9\/30). Sort y, 4, u in ascending order.\nAnswer: y, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32, 38, 42, 44?\n\"Answer: -n**2 + 9*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92969\/1360 + 1150\/17. Calculate the common denominator of 71\/15 and i.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.98251 centuries in months?\nAnswer: 2379.012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/((-3)\/(-18)). Is 4 + -3 - f*-18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12371291 divided by 727723.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 4 (c) 0.1331 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, -33, -83, -165, -285, -449, -663, -933?\n\"Answer: -m**3 - 7*m**2 + 4*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 850102147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/36 and 19\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*d**3 + 2280318*d**2 - 506736*d.\nAnswer: -3*d*(d - 84456)*(9*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - 6*b**3 + 4*b**3 + (-4 - b**2 + 4)*(-2 + 2*b + 2) + 9*b**3 - 14 + 14.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61197 divided by 20399.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 1 - -1 - 98\/(-70). What is the closest to 1 in -0.4, s, 0.3, 13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 w when four letters picked without replacement from {s: 2, z: 4, w: 5}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*q - 9*q - 10*q**2 + (2 - 3 - 1)*(2*q**2 - q + q) + (q - 2 + 2)*(2*q + 3*q + 0*q) in the form u*q**2 + c*q + h and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - -15. Let z = -4 + 12. What is the remainder when k is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 5:21 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 1\/3 (c) 1\/1063 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + 0 + (36 - 26). Let v be (-1 + (-15)\/(-9))*(-78)\/(-4). Solve 3*z - 6*z + w + v = 0, n = 2*w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5766?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + s + 2*s)*(6 + 2 - 3)*(2*s - 14*s + s).\nAnswer: 110*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -117548, -117552, -117556?\n\"Answer: -4*l - 117544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 143000 to the power of 1\/2, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 11*c - 1. Let g(p) = p**2 + 5*p. What is -7*g(s) - 3*i(s)?\nAnswer: -4*s**2 - 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwwl when four letters picked without replacement from {w: 1, q: 4, l: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*z - 280, -4*z - 2*n = -2*z - 140. Suppose 546*r - 549*r + 84 = 0. Calculate the highest common divisor of r and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 10*m - 2*m. Suppose -7*y = -0 - m. Which is greater: y or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + -2af6a?\nAnswer: -2af61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24142, -48302, -72462, -96622?\n\"Answer: -24160*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -165 - -170. Determine y, given that -y**3 - 13*y**5 + 13*y**3 + 10*y**h = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"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 is the smallest common multiple of 6 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99296*w**3*z**2 - 8*w**2*z**3 - 39000*w - 17*z**3 wrt w?\nAnswer: -595776*w*z**2 - 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -312895 + 28?\nAnswer: -312867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-25)\/(-2))\/((-6)\/(-144)*6). Calculate the greatest common divisor of 450 and t.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) 92 (c) 2.67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5447 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25326 = 116*d - 143*d. Let g = d - 1867\/2. Determine z so that -2*z + g*z**2 + 0 = 0.\nAnswer: 0, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109420699 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 2189433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*j - 103*j + 420 + 932. What is the smallest common multiple of j and 2152?\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yppyyyyyylypyyyylpp. What is prob of picking 2 y?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 1713*p**3 - 16967*p**2 + 107937*p + 1103544.\nAnswer: -(p - 8)*(p + 9)**2*(p + 1703)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1502, 1500, 1498, 1496, 1494, 1492?\nAnswer: 1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-11 + 18) - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 12. Let y = 4 - u. Is (28\/y)\/((-2)\/(-6)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4\/3 - 106*n**3\/3 - 104*n**2\/3 = 0. What is n?\nAnswer: -52, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3579840?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 9524*o - 28283. What is w(3)?\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12108?\nAnswer: 2, 3, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -14903264?\nAnswer: 14903264.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3677837.08 rounded to the nearest 10000?\nAnswer: -3680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1561 + 1605 = 4*a - 3*y, -3*y = 3*a - 2364. Solve -785*q + a*q = -5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9 + 0 - (-6 + 7). Which is the nearest to -0.1? (a) x (b) -2\/11 (c) -1\/2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 871147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -8*v + 16. Let r be (-3)\/(-1) + 14 + -5. Suppose -3 - r = 3*k. What is the tens digit of m(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114.2 - 127. Let h = -37 - -25. Let q = h - m. What is q rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 6. Let x be (2 + -16)\/(9 + -7). Let w be y(x). Calculate the common denominator of -109\/6 and (-4 + 628\/120)*w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + 9. Let f = x + -32. Suppose 3*o - 33 - 210 = f. Is o a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -18*a - 37. Is h(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -3, 0, -14, -2, 2.\nAnswer: -15, -14, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 194 + 22. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 65485821 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27)\/(-1) + 0\/3. Suppose -k + 2 + 21 = -4*d, -3*k = 2*d - n. Solve 3*v + 1 + k = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -13. Let k(z) = -z**2 + 1 + 0 + 4*z - g*z - 5*z. What is k(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 a factor of 85010402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -515*y**3\/6 - 313*y**2\/2 + y + 113. Is s(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.15 + 7.2. Let l = 304 - 303.5. What is the third smallest value in l, f, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (2 + 1)*-1. Let k = w - 12. Let a = -8 - k. Put 3, -5, a in increasing order.\nAnswer: -5, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - 257135?\nAnswer: -257144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 15\/4. Let j = 15 + -14. Which is the nearest to j? (a) u (b) -0.9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 297*r**3 - 4*r**2 - 12*r + 29. What are the prime factors of n(3)?\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**2 + 8*b - 8*b)*(724*b**2 - 937*b**2 - 650*b**2) as u*b**4 + q*b**3 + w + t*b**2 + s*b and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 5\/3 (c) 1.5 (d) -4 (e) -331 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24232431 and 114120?\nAnswer: 2907891720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117647\/13, 4\/23, -4 in descending order.\nAnswer: 4\/23, -4, -117647\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 + 117. Let q be ((-6)\/h)\/((-14)\/105). Calculate the greatest common factor of q and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 4 + 1)\/(-1). Let q = 2 + k. Let r = -16 + 15.6. What is the second biggest value in q, -5, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002968029 to six decimal places.\nAnswer: 0.000297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + u**2 + 0*u**2)*(3 + 2*u - 3) + 19*u**3 - 11*u**3 + 9*u**3 - u**3 - u + u + (5*u**3 - 6*u**3 + 3*u**3)*(9 - 1 + 1).\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17674 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y - 3 - 6*y - 23 in the form j*y + v and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 13*p - 16 as u*p + f and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*l + 2, 5*i - 5*l - 8 = 12. Let q be i\/(-11) - 644\/(-154). Suppose 5*w + 12 = 2*n, -5*w = n - 2*n - q. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*f + 81*f + 73*f)*(1 - 1 + f)*(20 - 5*f - 20).\nAnswer: -510*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 3*b**2 - 2*b. Let r(n) = 2*n + 8. Let v be r(-5). Let m be d(v). Solve a + t = 0, 3*a + 0*a - t = m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - u + 15710 = 0, -3*u + 11855 = 3*d + 68. Suppose 2184 + d = 9*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169*a**4 + 3*a**3 - 989*a**2 + 741640*a - 18 wrt a.\nAnswer: -2028*a**2 + 18*a - 1978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13 and 51356.2.\nAnswer: 51343.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -490 + 510. Solve 0 = b*g - 42*g - 44 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 12*d**2 + d. Suppose 0 = 5*k - 2 - 13. Let r be ((-2)\/k)\/((-10)\/(-15)). Let v be w(r). Calculate the highest common divisor of 22 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmbbbob.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjuuuu. What is prob of picking 2 u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2120049mg to micrograms.\nAnswer: 212.0049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*d = 47*d + 40. Let r be d\/18*9\/2. Solve 28 = -4*v - 4*j, -r*j + 18 = -4*v - j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-152)\/(-2052)*26*27\/(-36).\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 - 275*o + 884. Let n(a) = -12*a**2 + 820*a - 2656. Let z(j) = -5*n(j) - 16*q(j). What is h in z(h) = 0?\nAnswer: 3, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 21 = 8*s. Let u(q) = -9*q**2 - 5*q + 9. What is the common denominator of u(s) and (-1128)\/(-690) - 1\/5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/8 - (-539)\/484. What is k in -130\/11*k**3 - a*k + 0 + 224\/11*k**5 - 42\/11*k**2 - 48\/11*k**4 = 0?\nAnswer: -2\/7, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -9, 13, 45?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1200\/(-90)*(-65)\/(6825\/(-1008))?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109278357*v**3 + 13938*v**2 + 2580*v.\nAnswer: -655670142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -599 + 608. Let p(g) be the first derivative of -g**3\/3 + 9*g**2\/2 - 11*g + 7. Give p(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5224759, -5224753, -5224743, -5224729, -5224711, -5224689?\n\"Answer: 2*n**2 - 5224761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1408)\/(-660) - (-18)\/(-10))*-2406. Is -811 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 20*v + 55. Calculate y(18).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-50)\/(-13) - (208\/(-169))\/8. Solve -10*k = -g*k - 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 190, -1166.\nAnswer: -1166, 3\/7, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i**3 - 14*i**2 + 8*i + 5. Let s(f) = -3*f**3 + 5*f**2 - 3*f - 2. Calculate 4*j(a) + 11*s(a).\nAnswer: -a**3 - a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -331.8 - -332.8. Suppose 9 = 2*k - 3*l, -k + 1 = -0*k + 2*l. Suppose 0 = d - b + 1, -4*d - k*b - 2*b + 5 = 0. What is the closest to 0.2 in p, d, -2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(605)*-1)*-3)**2.\nAnswer: -990*sqrt(5) + 5670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.066 + -26.066. Let k = 26.085 + s. Round k to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 2:01 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q*q**(-4\/9))\/q)\/q)\/q)\/q)\/(q*q\/(q\/q**(-7\/6))) assuming q is positive.\nAnswer: q**(-59\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -693772, -0.2, 20?\nAnswer: -693772","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.79 - -13.29. Let w = 2.12 - 0.12. Which is the closest to -1\/9? (a) w (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 3, -38, -79, -120, -161?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**2\/2 + 13*g + 5. Let f be x(10). Suppose 12 = -f*y, u + 2*y = -4 - 1. Which is the biggest value? (a) u (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5696 + -4965. Calculate the highest common divisor of f and 765.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -18.6 (c) 0.3 (d) -1\/4 (e) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**0)\/a)\/a)**(-9)*(a\/(a**0\/a))**(3\/8))\/((a**(-2)\/a*a*a**(-7))\/((a\/(a*a**(-1)))\/(a\/(a\/(a*a\/a**(-1\/4)))))) assuming a is positive.\nAnswer: a**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1695723 + 455118. Let s = w + 1240604.9000011. Let i = s + 0.1. Round i to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*u + 4978, -2*u - 2935 - 4484 = -3*l. Solve -l*w + 16 = -2469*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = -20. Does 3 divide ((-90)\/r)\/(6\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 6*w**2 - 3*w + 34. What is j(4)?\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k + 60 = 0. Let r(u) = -u**3 + 13*u**2 - 11*u - 2. Let w be r(k). Suppose f + f = w. Solve p + i = -0*p, -p + f*i + 18 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -127 + 347. Let l = -25 - c. Suppose -2*b - l = -t, 7 = -3*b - 8. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9 - (2\/(-10) - 8). Which is the biggest value? (a) -42 (b) 0.9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 15 = -3*o, 20*o = 21*o + 5*d + 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1146 - 2163. Let c = -457 - p. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 400 - 398. Let d(a) = a**3 + 3*a**2 + 5*a + 3. Let i(g) = g**2 + g + 1. Suppose -43 = 8*w + 5. Determine u*d(j) + w*i(j).\nAnswer: 2*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.49 + -22.59. Sort 0.4, -1\/5, g.\nAnswer: g, -1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + -295\/6. Suppose 0*u - 385 = -7*u. Let n = -57 + u. What is the smallest value in n, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + 2*sqrt(2))**2.\nAnswer: 16 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(190)*3 - -2*(sqrt(190) - sqrt(190)*2))\/(sqrt(70)\/(sqrt(21)\/sqrt(3)) - (sqrt(160) + sqrt(40))\/sqrt(4))*-6.\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 3*q - q)*(-2*q - 5*q**2 + 8*q**2 - 2*q) + 9*q**3 - 5*q**3 + 0*q**3 + (-3*q + 4*q - 2*q)*(-3 + 2*q + 3)*(6*q + 5*q - 20*q).\nAnswer: 25*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 792882 and 1717911.\nAnswer: 10307466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 11:04 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 967430 and 14.\nAnswer: 6772010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 875, 3, -8, -2, -1 in decreasing order.\nAnswer: 875, 3, -1, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -856.\nAnswer: -5992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 304 - -9?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-four fifths of a litre?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -144118 (base 10) in base 4?\nAnswer: -203023312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 244775614 to the power of 1\/2, to the nearest integer?\nAnswer: 15645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*r + 243 = 0, 139 = 3*o + 7*r - 2*r. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, e: 4}. What is prob of picking 3 e and 1 v?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1433908, -1433869, -1433830, -1433791, -1433752, -1433713?\nAnswer: -1433674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -5.29.\nAnswer: -7.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2811.75 rounded to the nearest 10?\nAnswer: -2810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -1804698002.85.\nAnswer: -1804698001.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/6*(-66)\/(-88). What is the biggest value in 7, t, 0.1, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/2 + 16467*c**2\/2 - 22588605*c\/2 - 22605075\/2.\nAnswer: -3*(c - 2745)**2*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*n - 4*n - 639*n**2 - 17*n + 635*n**2 in the form u*n**2 + c + v*n and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -16.1, 0.1, 2, 0.3 in decreasing order.\nAnswer: 2, 0.3, 0.1, -16.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1013 and -27965.\nAnswer: -28978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 756757752 and -2985.\nAnswer: 756754767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2. Let k = 4 + -3. Suppose 6*y + k = 25. Let v(g) = 3*g + y*g + 2*g - g. Determine v(h(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 3*b - 3*o - 7, b - 2*o - 3 = 0. Is (-2134)\/((2 - b)*(-6)\/9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**39\/k*k*k\/k**(-9)*k)**26 assuming k is positive.\nAnswer: k**1300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j. Let q = 10 - 4. Let s(c) = 7*c**2 - q*c**2 + c**2. Determine s(m(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w - 3. Let r(b) = -8*b - 4. Give 4*c(p) - 3*r(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8 - -4. Let c = k + 3.8. Let v be 3\/(3 + 0)*(-11 - -7). What is the second smallest value in c, -2\/23, v?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000349913091 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 6*u**2 + 8*u + 5. Let r(y) = y**2 + 2*y + 4. Let g be r(-2). Give w(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 905, 1784, 2631, 3440, 4205?\n\"Answer: -i**3 - 10*i**2 + 916*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 302 - 224. Calculate the remainder when 150 is divided by a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.113 - -138\nAnswer: 138.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 168.4 and -77254076500.\nAnswer: -77254076331.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 88\/12 + 2\/3. Suppose -3*n + 3*v - y*v = 16, 3*v = -2*n - 9. Is 8 a factor of -4 + 2 + n - -20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 2, -2, -0.12, -0.4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 + 72354*d\/5 - 5724320.\nAnswer: -2*(d - 35777)*(d - 400)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (396\/(-440))\/(-18*(-4)\/(-20))*44?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s + 9. Suppose -2*y = 5*n, -n - 4 = -3*n. Let v be g(y). Calculate the highest common factor of v and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, r: 2}. What is prob of picking 2 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1076485439?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9755.\nAnswer: 5, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, 6, 23, 56, 111?\n\"Answer: o**3 - o**2 + 3*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 77042?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 + 4*l - 7. Let v be r(-6). Let q be (2 - 2)*3\/6. Suppose 5*o - 2*c + q*c = 43, -15 = -o + 2*c. What is the highest common factor of v and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(2 + -3)*(-39)\/52. Suppose h*m = -3*p - 0*m + 315, -2*m = 0. Calculate the highest common divisor of 70 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183, -43, -1167, -3639, -7909, -14427, -23643, -36007?\nAnswer: -51969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - g = 4*g + 23, 2*g + 14 = 2*h. Let n be ((-3)\/6)\/((-4)\/24). Solve -2*b**4 - 11*b**2 - n*b - 5*b**4 - 3*b**3 + b - 13*b**h = 0 for b.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = n + 4065, 5*u - 5248 = -2*n + 1538. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 215.3 - 257. Let g = 28 + x. Let w = g - -13.9. Which is the third biggest value? (a) 0 (b) w (c) 5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 2. Let j be r(2). Suppose -j + 0 = 4*q. Let o be ((-20)\/(-3))\/(q\/(-3)). Solve 2*s = -2*s - o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 1\/4, -68269, 2\/11?\nAnswer: -68269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -205, -158, -111?\n\"Answer: 47*p - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1788*z**2 - 2696*z**2 + 2278*z**2 + (-3*z - 2*z + 3*z)*(z - 4*z + 2*z).\nAnswer: 1372*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68\/(-10)*(10\/5 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 3*w + 28. Suppose v - 3*r - w = 0, v - 2*v + 7 = 4*r. What is the remainder when 9 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*f - 2216, 3*f - 4*f = 2*y - 1118. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008344714717 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1218746*n. Let k(j) = 68*j**2. What is k(q(a))?\nAnswer: 101003243251088*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 + 0*u**3 + 41 + u**3 as r*u + t*u**3 + k*u**2 + n and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 137322.5 millennia?\nAnswer: 1373225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-0.15.\nAnswer: -1.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22338?\nAnswer: 2, 3, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from ppppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3995637971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16779.90573ns to weeks.\nAnswer: 0.000000000027744553125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3611, 6781, 9951, 13121, 16291?\n\"Answer: 3170*i + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 445*h + 446*h - 237, 0*h = 4*a + 5*h + 316 for a.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24, 38, 60, 90, 128, 174?\n\"Answer: 4*t**2 + 2*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1553240522 - -0.042?\nAnswer: 2.1973240522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1599246 and 18450?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l**4 + 7*l**4 - 12*l**5 + (3*l**3 + l**3 - 6*l**3)*(l**2 - l**2 - l**2) - l**2 + l**2 + 2*l**5.\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1058 + -584. Suppose -2*s + b = 5*n, 0*n = -3*n - 12. Is 48 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-15))\/((-48)\/(-80)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21455498, 21455496, 21455494, 21455492, 21455490?\nAnswer: 21455488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121824 and 20304.\nAnswer: 121824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/(u**14\/u))\/u)*u)\/(u*u**(2\/5))*(u*((u**13\/u)\/u)\/u)\/u*u**(-10))**(-8) assuming u is positive.\nAnswer: u**(-544\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -276 - 10.9.\nAnswer: -286.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/344 and -25\/516?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -277\/4 + 279\/4. Let i(a) be the first derivative of 3\/4*a**4 - 1 - a + y*a**2 + 0*a**3. Calculate i(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 16*p**2 + 6*p - 7. What is the units digit of v(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-6 - -12) - (-2 - (-3 + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74408 + 436434 = 38*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) 2\/3 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/414826183 or 1?\nAnswer: 2\/414826183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:09 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 95*i**2 - 359*i - 5978. What are the prime factors of d(-18)?\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6 + 6*-10333*(-1)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45411730 and 4655.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -13*a**3 + 3*a**2 + 2*a. Let k be o(-2). Suppose m + k = 2*y - 3*m, m = -4. Calculate the highest common factor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-1736)*31*(-8)\/(-15))\/(120\/(-56)).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 865 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from {d: 4, g: 3, f: 2, y: 3, n: 1, c: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -252*v**3 + 274*v**2 wrt v?\nAnswer: -1512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 14, -963, 19 in ascending order.\nAnswer: -963, -2, 14, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*((-1)\/(-6))\/((169\/13)\/(-78)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113335*t**3 + 71*t - 70 wrt t?\nAnswer: -680010*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/1689*(-6 + 172\/28). Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**4*s**(6\/11)*(s**(-8))**(9\/4))**(-26) assuming s is positive.\nAnswer: s**(3562\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2966020490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -153*z - 2 - 2*z**2 + 3*z**2 + 4*z**3 - 2*z**4 + 4*z**4 + 300*z - 145*z to q*z + t*z**2 + g*z**3 + y + o*z**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(27\/972*12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-279)\/(-15) - (-50)\/125. Let b(x) = -82*x + 15. Let t be b(-7). What is the greatest common divisor of t and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*q**2 - 9 + 9 + 5*q**6 wrt q?\nAnswer: 600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 1:55 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 19*o**2 + 17*o - 14. Let d be m(-18). What is the biggest value in d, -4, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 14, 3\/2, 0.02, 0.4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2\/7 (c) -5 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15082050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11*-437.\nAnswer: 48.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*i**4*v - 116*i**4 + 2*i**3*v - i**2 - 2*i*v + v - 49 wrt i?\nAnswer: 216*i*v - 2784*i + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -70*w**2 - 55. Let d = -172 - -172. Let f(u) = 0 - 5*u**2 + 1 + d - 5. What is -55*f(m) + 4*n(m)?\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 12 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -5 (c) 76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**5 + 46*g**4*u - 82*g**3 + 22*g**2*u - 1025*g**2 - 2*g wrt g?\nAnswer: 180*g**2 + 1104*g*u - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 14*u**2 - 2 - u**3 - 2 + 1 as p*u + t*u**3 + r + g*u**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 8*n - 189 = -4*n, -4*n = -12. Let u = a + 94. Let l(j) = 34*j + 4. What is the remainder when l(3) is divided by u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.884631 kilograms?\nAnswer: 5884.631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**2 - 8*m. Let x(s) = 188*s - 132*s - 59*s. Determine x(g(k)).\nAnswer: 12*k**2 + 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3aad62 - 0?\nAnswer: -3aad62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -57 + 11. Suppose -4 - 4 = -4*n. List the prime factors of d\/(-10) - n\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 236526419*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/21 + 47\/(-7). Let a = 0.108 + 70.892. Let b = a + -72. Which is smaller: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/1037 - 2052\/11407. What is the second biggest value in i, 4, 6, 2\/9, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -138*a**3 + a**2 + 2*a + 1. Let u be (-1)\/(-2)*(1 + -3). Let z be x(u). Suppose -i - 44 = -v, 6 = -3*v + 5*i + z. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186209 divided by -29.\nAnswer: 6421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - 53. What are the prime factors of (-2)\/(18\/w)*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 8:01 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 228500 rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 162*q**2 - 4158*q - 34398.\nAnswer: -2*(q + 21)**2*(q + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2 - 3*y. Suppose n - 5*b = -2 + 31, -n = 2*b + 6. Let z(k) = 5*k**2 - 4*k. Determine n*g(h) - 3*z(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 162. Let c = z - -141.504. Let d = c + -2.574. Round d to one decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3*x, -9*l + 6*l + 5*x = 0. Suppose -10*i + 48092 + 78 = l. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128\/(-160)*5\/46\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u - 54143 = -1194989. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omc when three letters picked without replacement from {g: 3, x: 4, o: 4, c: 6, m: 1, f: 1}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a - 2 = 0. Suppose 3*t + a*p = 101, -3*t - p = 2*t - 159. Let z = t + 15. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.044 * 15\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 27. Let l = t + 58. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4*1*sqrt(65) + -4*-2*sqrt(65))\/(sqrt(500)*3*2))**2.\nAnswer: 52\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.5 (b) -4\/3 (c) 1\/6 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1052\/(-56)*-2 + -1 + 0. Let i = x - 262\/7. Which is the second biggest value? (a) 2\/15 (b) 2\/7 (c) -0.02 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2747 and 15812?\nAnswer: 648292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 19. Let z be c*((-30)\/(-21) + 2). Is (-16)\/z*(-234)\/(-4) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.034 (b) -2\/117 (c) 8 (d) 32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w - 21. Suppose -4*j = -w*j + 6. Factor -5*s**2 + 3*s**2 - s**4 + j*s**4 + 1.\nAnswer: (s - 1)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7952256 and 6318.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n**2 + 5. Let q(k) = -6*k**2 + 6. Let x(d) = 4*q(d) - 5*r(d). Let v be x(-1). Let m be v + 2\/(-1) - 2. Which is bigger: m or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92443629 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(20)*6*5.\nAnswer: 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 14. Suppose -4*t - 4*k + 120 = 0, 0 = t - 3*t - c*k + 55. Let u be (-4)\/28 - (-355)\/t. What is the greatest common divisor of 50 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11520 + 23049\/2. Let t(n) be the first derivative of -f*n - 21\/8*n**2 - 2\/3*n**3 - 20 - 1\/16*n**4. Solve t(o) = 0 for o.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 4, -8 in decreasing order.\nAnswer: 4, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 - 430.79221491\nAnswer: -430.61221491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1161580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1502534*y**3 - 514*y**2 - 729 wrt y.\nAnswer: -9015204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is aa7a - -5?\nAnswer: aa83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/5)\/s**(-4\/3)*s**3\/((s\/s**0)\/s)*(((s**1\/s)\/s*s)**(-23\/4))**(6\/5) assuming s is positive.\nAnswer: s**(62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219111.\nAnswer: 3, 73037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + g + 0*g + 3 - 3 - 3*g - g + 2 - 2 + (5 - 3 - 3)*(3*g + 4*g - 5*g) - 16*g - 3*g + 4*g.\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319401?\nAnswer: 3, 23, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**4\/16 - p**3\/12 + p**2\/8 + p\/4 - 8. Solve c(v) = 0 for v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(288) + (sqrt(288) - (sqrt(288) - (sqrt(288) - 1*sqrt(288)))*5))\/(-6*sqrt(24)\/sqrt(4)*-1))**2.\nAnswer: -20*sqrt(3) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -21*24\/4 - (-2)\/(-1). Let h = -70 - m. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -699 = -4*a - 27. Let j be (-7 - -8)\/(-3 - (-2550)\/849). Let n = j - a. List the prime factors of n.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p + 26. Let i be l(-9). Let w = -58 + i. Suppose w - 112 = -9*f. Solve 4*d = -5*s + f, -d + 5 = 2*d + 2*s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27167 divided by -7\nAnswer: 3881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139359518*a**4 + 124994*a**2 - 6*a - 35?\nAnswer: -3344628432*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2\/9, -0.03, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*n - 6052 - 2480 = 0. Which is greater: n or 499\/9?\nAnswer: 499\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l + 3 = 0. Let y be (l + -1 - 0)*1. Let z be 0 + 1 - (y + 4). Do -3 and z have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/(-650))\/((-5)\/(-25)) - (-915)\/(-25).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -101*c + 99*c + 167218, 83609 = b - 9*c. What is the ten thousands digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v - 5. Let k(y) = y**2 - 10*y + 12. Let l be k(8). Let h(w) = -12*w + 1. Let q(z) = -64*z. Let c(i) = 6*h(i) - q(i). Calculate l*c(u) - 5*d(u).\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-34 - -813) + (-2 - -1). Let p = 781 - a. Solve 2*i + p*r = -4, 4*i + 6 = i + 3*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 1)*(3 - 2 - 2)*(4*i + 2*i - 4*i)*(0*i - 7*i + 5*i) to a*i**2 + g*i + n and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 44 = 4. Suppose 2*c - 15 = -c. What is the lowest common multiple of i and c\/((-10)\/(-18)) - -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z. Let d(b) be the second derivative of b**3\/3 + 14*b. Determine q(d(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6846, 3525, 206, -3111?\nAnswer: -6426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*b + 1. Is 1608*b\/(-6) - -5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m + 50*m - 11*m - 17*m - 14*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*u - 20 = 0, -101*u - 25 = -96*u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 19*x**3 + 12*x**2 - 27*x - 155. Is j(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11991 - 3132. Is w a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 - 4\/(-16) - (-6874)\/56?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*w = -3*y + 4, 3*w - 20 = -5*y. Let b be 1 - 3\/1 - -5. Let l be (b - 2) + 0 + 3. Solve -5*t + 4 - 10 = -l*x, -5*t - w = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121650 and 3750?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 8*z + 2. Let d be b(-8). Suppose 4*t - 58 - 42 = 0. Let m = t - d. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -i - i. Suppose 2*n - 3*l + i = 0, 3*n + 3*l - 11 = 7. List the prime factors of (28 - 2) + (-3)\/n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 11:45 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.67 and 0.057.\nAnswer: 0.09519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, e: 2, d: 4, o: 2, x: 1, y: 4}. Give prob of sequence yd.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -238*g**5 + 49*g**2 - 13*g + 1.\nAnswer: -14280*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3983 - 3987. Let c(s) = -10*s - 44. Give c(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/496 and -25\/16.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 911*k - 911*k + 21896*k**2.\nAnswer: 21896*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 15*l**2 + 14*l + 12. Suppose 4*y + 3 = -5. Let q(u) = 5*u**2 + 3*u. Let r be q(y). Let z be i(r). Solve m = 5*c - m + 8, -3*c + z = 3*m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 - -6. Let x = c - 82.57. Let t = x - -0.23. What is t rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37776 = -7*c + 11*c. Is (c\/24)\/(2\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -524*n**3\/3 - 6990. Let k(g) = 15*g**2. What is r(k(i))?\nAnswer: -117900*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -489, 423, 2347, 5613, 10551, 17491, 26763?\n\"Answer: 55*l**3 + 176*l**2 - l - 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**3 + 2828*j**2 - 4*j - 2828 = 0. Calculate j.\nAnswer: -707, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.9 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47421709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1968)\/288)\/((-4)\/24)*4\/(-4)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/7 - 81*q\/7 - 78.\nAnswer: -3*(q + 13)*(q + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 5:57 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20528 + -19603. What is the smallest common multiple of 275 and y?\nAnswer: 10175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22109400 rounded to the nearest 100000?\nAnswer: -22100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4348426001?\nAnswer: 4348426001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2\/3 - 18*n - 4600\/3 = 0.\nAnswer: -46, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 28, 27, 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -275 - -307. Let u(s) = s**3 - 32*s**2 + 4*s - 52. Calculate the remainder when u(v) is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 0.44 (c) 0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {c: 2, n: 2, m: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*t - 3*v + 49, 2*v = 0. Suppose -l + w = -29, l + 5*w - 5 = -0*l. Calculate the highest common divisor of t and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57*d**3*j**3*x**3 + d**2*j**2 + 71*d*j**3*x**2 + j*x**3 wrt d.\nAnswer: -342*j**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -35. What is the units digit of (10 - 8)*u\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(15\/(-3) - -4). Suppose -199*b = 4*z - 196*b + 1, -2*z - 3*b = 5. Let d = -4.7 + -0.3. Put m, z, d, 0.3 in descending order.\nAnswer: z, 0.3, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -658\/9 or -0.1?\nAnswer: -658\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*o + 9*o**2 + 48*o - 20*o**3 - 9*o**2 wrt o?\nAnswer: -120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-112)*-7*56\/42?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (49 + -47)) + -3 + (-2 - (-3 + 2)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8416 and 215923?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2686 - a - 39*a**2 - 2*a**3 + 2686 in the form g*a + p + z*a**2 + c*a**3 and give z.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 3*p + 10 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2478942389 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microsecond in nanoseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:13 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/54142 and -111\/3542.\nAnswer: 378994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-39)*-27*21\/(-756).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*h = 4*k - 718, 1007 = -4*h - 5*k + 1079 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 4*o - 3. Suppose 1 = -2*k + 5*d, -3*k - 5*d - 11 = -k. Let j be v(k). Suppose l - 11 - 7 = j. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3) + 1 + sqrt(33)\/sqrt(99))*5.\nAnswer: 5 + 20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from qciziho?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = o - 7, -2*l = -3*o - 0*l + 20. Let t be o\/260*(-15)\/18. Let q = t + -101\/156. Which is the smallest value? (a) 4 (b) -1\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 19143 = 10284. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5415*z - 10166. Is r(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(832)*2 - (sqrt(832) - (sqrt(832) + (-1*sqrt(832) + sqrt(832) + sqrt(832))*1))**2.\nAnswer: -832 - 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 16*q - 120. Let z(s) = s**3 - 16*s**2 + 15*s + 1. What is z(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9617 by 32547.\nAnswer: -9617\/32547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1)*x*x\/(((x**0\/x*x)\/x)\/x)*x**6*(x*x**(-5))\/x assuming x is positive.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4465902 or -12\/7?\nAnswer: 4465902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4491155148 to the power of 1\/2, to the nearest integer?\nAnswer: 67016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssyyssys. What is prob of picking 1 s and 1 y?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 4, -3, 0 in decreasing order.\nAnswer: 4, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j = 2*j + 54. Solve -2*d = -j*u - 14, -d - 9 = 2*u + u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1156503 to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 5*c + 70 = 22, -5*u + 41 = 2*c for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -257 + 62. Solve -3*w + 3 = 5*r - 0*r, x = -w + 3*r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -12. Let c(d) = -d. Let y(n) = 5*c(n) + z(n). Let x be y(-7). Suppose 25*b - x*b = -74. Which is bigger: -36 or b?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (119\/(-68))\/(9\/(-180)) and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*c - 27. Let v(t) be the first derivative of -t**4\/4 - 3*t**3 + 9*t**2\/2 - 5*t - 7. Calculate the remainder when 11 is divided by v(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o + 2*o**3)*(o + 3*o - 2*o) + 4*o**3 - 4*o**3 - o**4 + (2 - 2*o**4 - 2)*(0 - 5 + 3).\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 138*g**2 - 9*g**2 + 223*g**2 + 78*g**2 + 424*g**2 as h*g + m*g**2 + f and give m.\nAnswer: 854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495435 is divided by 35349.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0023628911 to 5 dps.\nAnswer: -0.00236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -187 - -189. Put 0, s, -10 in ascending order.\nAnswer: -10, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 847 + -557. Let p = g - 290.1. Is p greater than or equal to -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4 = 6*n. Suppose -2*v - 3*v + 35 = 0. Let q = n + v. What is the lowest common multiple of q and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19989 - 0.\nAnswer: -19989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*q = 20, -4*f - 5*q = -3*f - 5. Solve 0 = 2*x + u - 3*u - 4, -x - f*u = 16 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 558050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82513 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*s + 167, -3*z = -3*s - 4*z + 109. Let k be 2 + -1 + s\/5. Solve -4*m + y + 14 = 0, -m + k + 6 = 5*y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-10))\/(((-2)\/(-5))\/2). Suppose 6946 + 10343 = p*u. Suppose 0 = 7*f - 5164 - u. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 193\/2 - 104. Which is the smallest value? (a) m (b) -2\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 59301510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 100000011100?\nAnswer: -100000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201 - 191. Calculate the remainder when (1*16)\/(6\/18) is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 37?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1873, 0.2, -13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 u, and 1 f when three letters picked without replacement from {b: 3, u: 5, n: 7, f: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -709, -713, -729, -763, -821?\n\"Answer: -b**3 + 3*b - 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 851411024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 330, 653, 970, 1281?\nAnswer: 1586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -24, -3.\nAnswer: -24, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 307*z - 20245. Let m be u(66). Do m and 21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/7436 and -47\/3542.\nAnswer: 1197196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (663\/12285 - (-4)\/(-36))*28\/(-6). Determine x so that i*x**2 - 2 + 14\/15*x = 0.\nAnswer: -5, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**2 - 6. Let v(m) = 23*m**2 - 23. Let y(o) = 9*t(o) - 2*v(o). Differentiate y(r) with respect to r.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564054511 to the power of 1\/2, to the nearest integer?\nAnswer: 23750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239, -383, -621, -953, -1379, -1899, -2513?\nAnswer: -3221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**9\/c))**(2\/9))**(2\/5))**25 assuming c is positive.\nAnswer: c**(-160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -10*h**3\/3 - 49*h**2 - 2*h - 79. Calculate the remainder when 120 is divided by a(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -9d21289?\nAnswer: 9d21289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 1802270 = -5*y, 1081386 = 3*y + 9*l - 6*l. Suppose 16*h = y - 1917258. What is h rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4\/31 (b) -0.3 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 4*o - 3. Let f be n(4). Let h be 20\/f - 92\/(-14). Solve 2*w = -0 + h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 + 0*j**4 - 2*j - 5*j + (-2*j**2 - j**2 + 5*j**2)*(17*j**2 + 31*j**2 + 14*j**2) + 3*j**4 + 0*j + 0*j.\nAnswer: 126*j**4 - 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 - 90.7. Let z = 47 - 83. Let g be (-18)\/z*2\/(-4). What is the closest to g in -2, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126324 is divided by 155?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**2 - 18*a - 7. Give h(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2838631 is divided by 946200?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, i: 3, g: 1, a: 1, j: 1, e: 5}. Give prob of sequence aii.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001315 to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2659457571?\nAnswer: 3, 293, 599, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 29. Solve 0 = -2*z - 3*z - j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800000 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-4))\/(90\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 8. Suppose -3*y = 4*q + 9, y + 14 - 1 = -3*q. Let v be x(q). Solve v*d - 3*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/169, 14, -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 464?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -74118 - 58227. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002684 rounded to six decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21000102101 + 1?\nAnswer: 21000102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*b**2 - 35*b**2 - 39*b**2)*(-3 + 1 + 4).\nAnswer: -66*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfcf when four letters picked without replacement from cccccccccff?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsst when four letters picked without replacement from {s: 6, g: 1, c: 1, t: 1}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0497 take away 2.050054?\nAnswer: -2.000354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - (12 - 7))\/(-1 + 2). Solve y = -4*a - 0*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3\/5 - 6284*b**2\/5 - 472862*b\/5 - 522276 = 0. What is b?\nAnswer: -3065, -71, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6520383 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d0eb - 9?\nAnswer: -1d105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 - 34. Let s = 1196 - 448. What is the highest common divisor of s and j?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 4:10 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 - -2 - 61 - (-2259 - -2246)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2686 and 204?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - c + 17 = -283 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-6)*(-3 + 2 + 0). Let o = -0.3 - -0.1. Which is the third smallest value? (a) s (b) o (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499249.\nAnswer: 433, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29\/2*q**2 + 21\/2*q**3 - 2 + 2*q.\nAnswer: (q + 1)*(3*q + 2)*(7*q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 m, and 2 w when four letters picked without replacement from {m: 1, y: 2, d: 1, w: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 5:31 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 18*u**3 - 9. Let q(j) = 37*j**3 - 18. Let g(i) = 2*q(i) - 5*y(i). Differentiate g(t) with respect to t.\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 56069, 54881, 53693?\n\"Answer: -1188*m + 57257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7338*z**5 - z + 2783 wrt z.\nAnswer: 146760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002457 rounded to five dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.52 - -0.48. Sort -0.4, m, -1\/8.\nAnswer: -0.4, -1\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 6482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12, -5 in ascending order.\nAnswer: -12, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - k + 8 = 0, -k = -2 - 0. Let m be s*15\/12*-6. What is the units digit of 51\/m - (-2)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 11*q + 1223 - 8*q - 1223. Let j(w) = 671*w. What is k(j(z))?\nAnswer: 2013*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from {a: 1, q: 11, f: 4, x: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06072372 - 2652.\nAnswer: -2652.06072372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -116, -191, -252, -293, -308?\n\"Answer: i**3 + i**2 - 85*i - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-2) + -1 + 0. Suppose -3*k = -4*y - 11 + 28, 22 = v*y + 2*k. Suppose 4*h - 5*o = y, -2*o - 1 = -5*h + 18. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.3 (c) -4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -3\/2 (b) 0.2 (c) 0.075\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 25*v + 106. Let z(h) = 8 + 11 - 19 + 2*h. Let x(q) = y(q) - 3*z(q). Differentiate x(g) wrt g.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 7*c + 325 = 2*c, -2*c = 6. Suppose -85690 = -k*i + 676. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + q + 18 = -0*q, -2*b - 2*q = -4. Let t = b + -5. Let j(u) = u + 1. Give j(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 10*k. Let o be c(5). Suppose -6*z = -z - o. Let i = 8 + -4. Calculate the greatest common divisor of i and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, c: 3, r: 1, d: 3, q: 2}. Give prob of sequence csq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.4, 0.5, -4, 0.39, 27?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 2 = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2 - 10. Let n(f) = -69*f - 479 - 474 - 5*f + 953. Calculate w(n(g)).\nAnswer: 21904*g**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-14) - -2) + -4*(-11)\/(-22).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12016 and 7456?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-425)\/(-100)*-4\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4836 + 5716. Is 88 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.36 and 1212529029559.\nAnswer: 1212529029560.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*j + 1124*j - 352*j - 326*j.\nAnswer: 93*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -72, -0.9, -2\/23, 0, 4 in decreasing order.\nAnswer: 4, 0, -2\/23, -0.9, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(3\/(-9)*(2 + -3)). Suppose 0 = -v*g + 55391471 - 14891471. What is g rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**7\/2415 + 7*y**6\/1380 + 17*y**5\/690 + 3*y**4\/92 + 2*y**2. Let m(c) = 0. What is c?\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/126 and 133\/110.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**3\/3 - 46333*z**2 - 185336*z - 556012\/3 = 0.\nAnswer: -2, 139003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583580 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((-1538)\/50754)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 79872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 897 = r, 3*d + 150 = 2*r - 509. Let q = d + 763. Is q a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22222 - -20000?\nAnswer: 112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9776 divided by -1?\nAnswer: 9776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2709.55 + -5\nAnswer: 2704.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {n: 3, g: 1, p: 4, z: 2, d: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -157.2338281 and -0.2.\nAnswer: -157.4338281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -s - 2. Suppose 44 = s*w - 48. Let f(h) = h**3 - 31*h**2 + 93*h - 137. Let d be f(28). What is the highest common divisor of w and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 52369, 104863, 157357, 209851, 262345, 314839?\n\"Answer: 52494*n - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 179, 205?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + 1 + 5 + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 21 = 5*u, 0*u + 2*u - 12 = 4*v. Let f = -41 - -46. Let b = v + f. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-12)\/11 + 1). Let h(t) = -t**2 + 34*t + 7. Let m be h(34). Let g = y - m. What is the remainder when 17 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*b + 28 - 19, 5*b - 5*i = 40. Let f be b\/2 - (-5)\/40*-4. Solve f*z - 4*n - 3 = -n, -n + 19 = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387801845 to the power of 1\/2, to the nearest integer?\nAnswer: 37253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 558*r + 736. What are the prime factors of p(12)?\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1788*g + 1785*g = 414. Let q = g + 519. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 + 11*y + 12. Let g be v(-1). Suppose m = 3*f + 903, 0 = -3*m + g*f + 1996 + 733. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o - 10. Give y(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + 5 + -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -145 - -133. Put u, 0.03, -1\/3, 0 in decreasing order.\nAnswer: 0.03, 0, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56\/90 + 27\/(1944\/(-16)). Sort k, 154, 2 in increasing order.\nAnswer: k, 2, 154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*w = -23*w. Suppose w = 3*c - 90 - 447. Calculate the remainder when c is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -9*c - 5. Give j(-6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 780.9342 centuries?\nAnswer: 78093.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-104)\/507*54\/12)\/(128\/(-1664))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3*28\/(-7) + -4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1378 and -426.4?\nAnswer: 587579.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(98)*3 + -2 + 2 + (sqrt(98) - (sqrt(98) + -3 + sqrt(98)*4))*-6)**2.\nAnswer: -215298 + 20412*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l + 32*l = 630. Let b = -3 - -31. What is the greatest common divisor of l and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -714209060*l*r**4 + 25*l + 8763104 wrt r?\nAnswer: -2856836240*l*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**3 + 0*y**3 + 0*y**3 - y**3 - 2*y**3 + 2*y**3 + (0*y**2 - y**2 - y**2)*(y - y - 2*y) - 2*y**3 - 2*y**3 + 6*y**3 - 3518*y**2 + 62*y**3 + 3518*y**2.\nAnswer: 64*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - q - 1. Let g(n) = 2*n**2 - 2*n - 8. Let i(p) = -g(p) + 3*y(p). What is the tens digit of i(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25)\/((-15)\/3) + -2 + 75\/(-27). Which is the nearest to -0.2? (a) q (b) -484\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.83785 to 2 dps.\nAnswer: -19.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -2 - 2 - (-68 - -65)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 15*y**2 - y - 16. Let g be k(-15). Let v = 455 + -5917\/13. Which is the biggest value? (a) v (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38336 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*x + 828 = 33*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 2*z = -14*q + 153, 3*z - 786 = -5*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 3*x + 660, 2*g - 3*g - 2*x = -222. List the prime factors of g.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97a (base 16) to base 3\nAnswer: -10022212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 207143451773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*d - 982 + 1028. Let b(y) be the second derivative of 0*y**d - 2\/3*y**3 + 0 + 12*y. Let h(u) = 2*u. What is h(b(r))?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = 6*a + 9*a + 128 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q**2 - 104*q. Let a(k) = 10*k**2 - 65*k. Let c(g) = 8*a(g) - 5*x(g). Let p(l) be the first derivative of -l**2\/2 + 1. Determine p(c(b)).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 308 + -283. Is 25 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-378*k - 1508*k**3 + 378*k)*(k + 6*k - 8*k) as m*k**4 + h + c*k**2 + o*k + g*k**3 and give m.\nAnswer: 1508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 16187*c + 16663. Calculate l(-1).\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**5\/70 - 53*i**4\/21 - 209*i**3\/21 - 104*i**2\/7 - 24*i - 12. Let z(l) = 0. Calculate l.\nAnswer: -104, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 8:40 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*j - 20738 + 20654 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h - 7. Let c be u(6). Let p = c + 11. Calculate the remainder when p is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.31? (a) -2 (b) 1\/10 (c) -0.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 11:13 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20989 and 972305?\nAnswer: 146818055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.143 - 4610896\nAnswer: -4610896.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/8726 and 11\/43630?\nAnswer: 43630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7869948 and 1482?\nAnswer: 1943877156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105124.\nAnswer: 2, 41, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8669941 years to millennia.\nAnswer: 0.0008669941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + o + 6 - 4 - 3*o + 3*o. Let s be b(1). Solve -s = -4*t - y, 3*t + 4 = t - 3*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389476 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 5:50 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*w - 10 = 3*f + 243*w, -2*w - 9 = f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 1\/54, -5, -6622\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3064 times -197312?\nAnswer: -604563968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**4\/24 + 2*y**2. Let a(r) = -10*r**2 - 3. Let g(p) = 119*p**2 + 35. Let s(z) = -35*a(z) - 3*g(z). Calculate s(x(f)).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 420*w + 468. Let y be h(-1). Which is the biggest value? (a) -4 (b) y (c) 0.5 (d) -0.2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6984576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y - 4*x, -4 = y + 3*x. Suppose 7*v = y*v - 14. Let h = v - 2. Calculate the greatest common factor of 96 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 906, 901, 884, 849, 790, 701?\n\"Answer: -d**3 + 2*d + 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 3) + -3 - -50. Let y = o + -51. Is (4 - (-45)\/1) + y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -976583707 minus -0.3421?\nAnswer: -976583706.6579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4747793 to the power of 1\/2, to the nearest integer?\nAnswer: 2179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78.3 - 78.6. Which is the biggest value? (a) -27 (b) t (c) -0.1 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2672, -3704, -6498, -11936, -20900, -34272?\nAnswer: -52934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 50 + 22. What is the highest common factor of 135 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.075 + 0.075. What is the closest to -0.2 in g, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 4.4. Let h be 1\/(2 + (-46)\/4). What is the biggest value in 2, h, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13831, -27661, -41491, -55321?\n\"Answer: -13830*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(3)*4 + (sqrt(15)\/sqrt(125))**2.\nAnswer: -8*sqrt(3) + 3\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 357485095 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, b: 5, v: 8}. Give prob of sequence bvb.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10408.\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/9)\/a**(1\/6))**(-45) assuming a is positive.\nAnswer: a**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**6\/3 + 233*j**4 + 963*j**3 - 1036. What is the third derivative of f(i) wrt i?\nAnswer: 120*i**2 + 5592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 12297*l**2 + 12 + 12300*l**2 - 7.\nAnswer: 3*l**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -118 (b) -5 (c) -112\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -314 + 456. What is the remainder when r is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -18. Suppose 4*w + 20 = 0, -3*u - 3*w + w - k = 0. Let p(i) = 0*i - 5*i**2 + i**3 - 3 + 3*i + 0*i**2. Give p(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53\/488 - -1\/61. Put -4\/5, 3, u in increasing order.\nAnswer: -4\/5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 14.5. What is the second smallest value in 1\/6, -0.1, z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5547\/18)\/((-95)\/(-10)). Let x = 97\/3 - g. Which is the second biggest value? (a) 2\/3 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/5, 557, 3, 0.5, -541?\nAnswer: -541","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 12:12 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 562400 and 900?\nAnswer: 5061600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 6, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, f: 1, r: 4, q: 1, a: 1}. What is prob of picking 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.0925502*13\nAnswer: -1.2031526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 j when four letters picked without replacement from {i: 2, r: 3, t: 1, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 2. Let r be o(9). Let j = -9 - r. Solve -4*g - 5*n = 1 + j, -3*g + 12 = -n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**16\/f*f)\/(f\/(f**(7\/4)\/f)) assuming f is positive.\nAnswer: f**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -11) + (1 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m - 12. Let x be 3 + (-2 - (0 + -1)). Suppose -3*b = -x*b + 10. Does 5 divide a(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -175, -173?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h*(h**(2\/3)\/h)\/h*h)\/h)\/(h*(h\/h**(-11)*h)\/h)*(h\/((h\/(h*h\/(h\/((h**0*h)\/h*h))))\/h))**32 assuming h is positive.\nAnswer: h**(254\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4910, -4886, -4846, -4790?\nAnswer: -4718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12, 29, 64, 123, 212, 337?\n\"Answer: s**3 + 3*s**2 + s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from bpbbwbpbzp.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 28\/8)\/(3\/(-18)). Suppose d = -9*k - 9. Let a = 5 + k. Calculate the remainder when 18 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 528*a. Let h(x) = -x**2. Determine f(h(s)).\nAnswer: s**4 + 528*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2611331*b**2 + 2*b + 1877365?\nAnswer: -5222662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgkgkogg. What is prob of picking 1 g and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5020, -4988, -4946, -4888, -4808, -4700, -4558, -4376?\nAnswer: -4148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 9:01 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40359759 to the power of 1\/3, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12941 is divided by 2112.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1333 + -20110130301?\nAnswer: -20110132300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 11:31 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 0*w. Suppose 6*f - 2*f = 4, 3*c + 4*f - 10 = w. Suppose -4*n + 40 = -0*r - 2*r, c*n + r = 16. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*c + 132 = 0, 0 = b + 2*c - 3*c - 74. Calculate the lowest common multiple of 10 and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2223)\/(-26) - 6\/4. Let x be (-7)\/(-28)*(20 + 0). Suppose -5*s + 64 = p, -28 + 8 = -x*p. Calculate the greatest common factor of i and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*l - 2*d - 3*d, 0 = -2*l + 4*d + 30. Calculate the smallest common multiple of l and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2539133 (base 10) to base 4.\nAnswer: 21223321331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 11 + 7)*(0*q - q - 5*q)*(-1 + 3 + 0).\nAnswer: 252*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + (-4*2*sqrt(2736) - -2*sqrt(2736)*-3 - ((sqrt(2736) + 1 + sqrt(2736))*4 + -3 + 0 + sqrt(2736))))**2.\nAnswer: -5789412 - 6624*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 8) + -4 + 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33508157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 5483494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 + 10 - i**2 - 11 + 11*i**2 + 12 + 16*i. Let o(c) = -8*c**2 - 8*c - 6. Calculate 11*o(u) + 6*q(u).\nAnswer: 2*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 10:59 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/2 + 7*b**3\/2 - 15*b**2\/2 + 13*b\/2 - 2 = 0. Calculate b.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -23, 2, -9, 5, 6 in ascending order.\nAnswer: -23, -9, -3, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98928 divided by -229.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*(2 + sqrt(84)\/((sqrt(84)\/sqrt(4))\/sqrt(3))).\nAnswer: -8*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 299 - 29*j - 4*j**2 + 71*j - 162.\nAnswer: -4*j**2 + 42*j - 476","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*q**4 - 85 - 4*q**4 + 104 with respect to q.\nAnswer: -84*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(12\/14*630\/(-1755)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/378 + 414\/504. Factor -27\/4*g**2 - 21\/4 + d*g**3 + 45\/4*g.\nAnswer: 3*(g - 7)*(g - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h - 61 + 47 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjq when three letters picked without replacement from jjqjjqjjj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*d + 258*d = 95*d + 4970 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 4. Let u be (-7)\/((-7)\/(-22)) - -1. Let b = u - -15. Determine l(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/10904 and -61\/2013480.\nAnswer: 58390920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1218 divided by -87.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, -1, 1, 2, 1854, 50 in descending order.\nAnswer: 1854, 50, 2, 1, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -0.1898378?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**5 - 8*l**5 - 44*l**3 + 9*l**5 + (0*l**3 - l**3 + 2*l**3)*(0*l**2 + 0*l**2 - 2*l**2).\nAnswer: -l**5 - 44*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23591.6 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -522, -1045, -1568?\nAnswer: -2091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4 - -3) + 1)\/1. Suppose 6*z = -k + 12. Let g(y) = -6*y**2 + y**z + y**2. Let i(b) = b**2. Calculate i(g(t)).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**3\/3 + 3*x**2 + 3*x + 1. Let r be h(-4). Let j = -7 - -51\/7. Which is the third smallest value? (a) 3 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/2537256 and 59\/28?\nAnswer: 17760792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 6*r - 42588 = 0. Let l = -1962 - r. Suppose 572 = -5*t + l. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6627 - -7007. What is the remainder when c is divided by 118?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6798 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 26\/11*u + 76\/11*u**3 + 10\/11*u**5 - 4\/11 - 64\/11*u**2 - 4*u**4 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k - 73 + 73)*((-3 + 4 + 0)*(2 + 2 - 3) - 16 - 7 - 24).\nAnswer: -322*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 230614085 to the power of 1\/2, to the nearest integer?\nAnswer: 15186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12553 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 4:47 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6905 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -269 + 100 + 7633*n**2 + 77 + 92 to the form k*n + p*n**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -682284?\nAnswer: -682283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -179*a**4\/4 - 5136*a**2. Let v(l) = -7*l. Determine v(m(g)).\nAnswer: 7518*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxrd when four letters picked without replacement from yxdyzrexrxy?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -3 (c) -0.04 (d) -62 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9*12\/136*2.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 249611 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**4 - 1113*v**3 - 3*v**2 - 176*v + 86 wrt v?\nAnswer: -12*v**2 - 6678*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.53 from -238298.\nAnswer: -238297.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*(sqrt(143) + sqrt(143) + -2*sqrt(143) + sqrt(143))*5)\/(5*sqrt(33)\/sqrt(3) - sqrt(66)\/(sqrt(6) + sqrt(24) + sqrt(6))).\nAnswer: 360*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 321 - 17*o**2 + 298*o - 35*o + 33*o + 21*o**2 - 29.\nAnswer: 4*(o + 1)*(o + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-2\/5)\/n)*(n\/(n**(-5)*n))\/n)\/(n**1)**(-2\/15)*(n**(2\/5))**(-2\/19)\/((n*n**(2\/7))\/n**6) assuming n is positive.\nAnswer: n**(4072\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -116 + 152. Calculate the remainder when 114 is divided by u\/(-63) + 134\/14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 - 39. Let u be (-4)\/(-16) - (-15)\/x. What is the third smallest value in 4, 0.1, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 2*v + 14, -5*q - 50 + 16 = 18*v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2 + 7 = 5*q + 10, -6*p + 21 = -15*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.96 + 0.46. Put -4, 0.4, 0.3, p in ascending order.\nAnswer: -4, p, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)*l)**(-46))**(6\/13)*(l\/l**(-1))\/(l*(l\/l**(2\/5))\/l)*(l\/l**1)**(-1\/11) assuming l is positive.\nAnswer: l**(1471\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35679 is divided by 511?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1553.78, -0.5, -3, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22\/5 - 164\/35. Let y = 133\/5 + -271\/10. Which is the nearest to x? (a) 3\/5 (b) y (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6554 = -45*b + 106994. Suppose k + b = 5*k. Calculate the remainder when k is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00555482 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17331, -17537, -17743, -17949, -18155, -18361?\n\"Answer: -206*h - 17125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 256670335\/3521 + -72897. Is y less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/2 of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1120202 (base 4) to base 13\nAnswer: -276b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - 67*y - 318. Determine u(-28).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*o - 266 = -4*o, -3*h = -4*o - 449. Calculate the greatest common divisor of h and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 14159 - 13309 + 29900)*(x + x**2 - x).\nAnswer: x**3 + 2432*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*r + 163*r - 1610 = -257*r + 49606 for r.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p - 5*v = 118, 2*v = -2*p + 104. Let o(w) = -10*w - 4. Let u be o(-4). Calculate the greatest common factor of p and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*v + 2*z, 3*v - 3*z + 0*z - 18 = 0. Let b(q) = 2*q - v*q + 11*q - 1 - 1. Give b(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132 (base 4) in base 15?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 11:52 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100110 (base 2) in base 9?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*q = -3*x + 30, q = -4*x - 60. Let s = -12 - x. Suppose -4*j - c = 8399995, s*j + 5*c = 5*j + 6300025. What is j rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -10*w**2 + 4. Let t(p) = 30*p**2 - 55*p + 10. Let j(y) = -31*y**2 + 49*y - 7. Let n(b) = -9*j(b) - 8*t(b). What is 9*d(v) + 2*n(v)?\nAnswer: -12*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -50923 times 4?\nAnswer: -203692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -128 (base 16) to base 6.\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**3 + 1257*u**2 + 3897546*u - 3898800 = 0.\nAnswer: -950, 1, 1368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 11*k - 414. Suppose 3*n = 5*m + k, -4*n = -2*m - 3*m - 97. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 + 0*s**2 + 5*s**2 + 11*s**2 + 8 - 8 - s**2 - 5 + 5 + (s + 2*s - s)*(0 + s + 0) in the form j*s + k + i*s**2 and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*m - 3*m. Let y(h) = -h + 3. Let z be y(m). What is the third derivative of -g + 0*g**2 + 3*g**6 + z*g**2 + g wrt g?\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84898 > -5\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/((k**(2\/23)\/k*k)\/k)))\/k*k)\/k**6)**(-1\/24) assuming k is positive.\nAnswer: k**(53\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3593\/9 - 403. Calculate the common denominator of v and ((-3)\/(-8))\/(3\/252).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 4*k + 2*k)*(1 - 3 - 1) - 28 + 28 - k + (0 + 1 - 2)*(-2*k + 3*k + 0*k) + (3 - 2 - 3)*(0*k + 3*k - 4*k) + 1 + 2*k - 1 + (2 - 1 + 1)*(2*k - 3*k - k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*h**5\/7 + 5154*h**4\/7 - 4365*h**3\/7 - 1392*h**2\/7 + 468*h\/7 = 0.\nAnswer: -39, -2\/5, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oczc when four letters picked without replacement from cccoocczozoz.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -17 (b) 4 (c) -0.4 (d) 2\/4095 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7614, -0.3, 781, 0, 4\/7 in increasing order.\nAnswer: -7614, -0.3, 0, 4\/7, 781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8770 = -405*x - 1885 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107952 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-1)*q)*q\/(q\/q**(1\/7))*q)\/(q\/((q**(2\/19)\/q)\/q))**(-12\/17) assuming q is positive.\nAnswer: q**(9465\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 7. Suppose -i*n = -10 - 10. Put 2, -1.1, n in descending order.\nAnswer: n, 2, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5979173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = -1. Suppose z + 5*p - 1 = 4, 4*z - c*p + 52 = 0. What are the prime factors of (68\/(-5))\/(4\/z)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-seven quarters of a minute?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - 6.5. Let m = j - 1.9. Which is the smallest value? (a) -0.3 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1475 by 12.\nAnswer: 1475\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 s when four letters picked without replacement from {g: 5, u: 10, s: 4}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 12?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2867, 5753, 8639, 11525?\n\"Answer: 2886*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1648*c**4 + 8*c**3 + 51536*c**2 + 2*c.\nAnswer: -39552*c + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = i + 155 + 61, 32 = v - 3*i. Let a = -34 + 34. Let g be -1 + a + 5 - -7. What is the highest common factor of v and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122200002 (base 3) to base 9.\nAnswer: -48602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrd when three letters picked without replacement from {y: 1, r: 16, d: 1}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8\/h)\/(h**(25\/2)\/h)*h*h**(-3\/22)*h**(-20) assuming h is positive.\nAnswer: h**(-260\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -86, -997, -3470, -8285, -16222, -28061, -44582, -66565?\n\"Answer: -130*d**3 - d**2 + 2*d + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 685*q**5 + 1296*q**2 - 1298*q**2 - 195*q**5 + (-5*q**2 + 9*q**2 + 2*q**2)*(2*q**3 + 0*q**3 - 3*q**3).\nAnswer: 484*q**5 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (10 - 7)) + 1 + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.927583 millilitres to litres.\nAnswer: 0.002927583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 1. Let v(n) = -n**3 + 4*n**2 + 1. Let r be v(4). Solve r = -l + 2*s, s - g + 2 = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1741766, -1741773, -1741784, -1741799, -1741818, -1741841?\nAnswer: -1741868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.6 - 2.4. Let n = -9 - x. Let m = 3.45 - 0.45. Put 1\/6, m, n in descending order.\nAnswer: n, m, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -79612420.\nAnswer: -955349040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6692 and 3?\nAnswer: 20076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-3)\/(-10)) + (-6)\/(-18). Let o be 4 + i + 86\/(-4)*-4. Let f = 100 - o. What is the remainder when 115 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.06 - -0.06. Let w(k) = 3*k - 16. Let i be w(14). Let y be 20\/(-50)*10\/i. Which is the smallest value? (a) -4\/3 (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 26*q**6 - 4*q**3 + 5*q**2 + 4*q + 10. Let j(w) = -w**6 - w**3 + w**2 + w + 1. Let a(o) = i(o) - 4*j(o). Find the third derivative of a(y) wrt y.\nAnswer: 3600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4 - 69*n**3 - 1593*n**2 - 12775*n - 11250 = 0. Calculate n.\nAnswer: -25, -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-15))\/((-1381)\/20715*9*4\/2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 155 - 108. Let s be (-2)\/(-6)*(5 + 1). Suppose -5*u - v = -t, -s*v = -3*u + 27 - 4. Solve u = -5*i + 29 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 12 = 3*d, -2*x + 15 = 3*x - 4*d. Calculate the remainder when x*4\/(-24)*-14 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v + 18. Let y(l) = -l + 22*l + 22 + 38 + 20 + 9. What is 11*k(u) - 2*y(u)?\nAnswer: 2*u + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -415691.26 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**2 - b**2 + 0*b**2 - 12*b)*(-4 - 3 + 5) to a + u*b**2 + i*b and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 4:26 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*t**2 - 3*t**2 + 2*t + 3*t + t**2 wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5*n + 0*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -1)*(-6 - -2). Let x be (11 + -3)*9\/w. Let y be 4\/(-18) - 7\/x. Is 0 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4091 is divided by 38.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/(-24) - 105\/(-140).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 228730303 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 0) + 16 + (-22 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 353366 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 1. Suppose 5*u + d + 219 = 10*u, 0 = 2*u + d - 82. What is the remainder when u is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -204*t + 2045. Give d(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1031\/33 + -94\/3. What is the third biggest value in -0.4, l, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -5*k - 3*v + 4*v, -3*v + 80 = 5*k. Let t = -18 + 27. Let m be -4*3\/2*(-6)\/t. What is the greatest common divisor of m and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.3. Let v = i - 0.1. Let f = -0.3 - v. Put -4, 0.02, f in decreasing order.\nAnswer: 0.02, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(36\/33) - 13392\/(-1728)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - ((-116)\/20 + 2). Suppose -4*x = -150*f + 155*f - 29, 12 = 2*f + 2*x. Sort -4\/5, p, f, -1 in decreasing order.\nAnswer: f, p, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllsulsq. Give prob of sequence ll.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + p - 2. Let r(b) = b + 1. Let n(x) = r(x) - s(x). Let k = 19065 + -19061. Determine n(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 513690.01 to the nearest one hundred.\nAnswer: 513700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3294 + 65*q + 3294)*(3*q - q + 5 + 22).\nAnswer: 130*q**2 + 1755*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -204, 1, -16, 1\/5, -5 in decreasing order.\nAnswer: 1, 1\/5, -5, -16, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/1159 + 1079\/46360. Let q(k) be the second derivative of a*k**5 - 1\/4*k**2 - 1\/3*k**3 + 1\/96*k**4 + 0 + k. Suppose q(l) = 0. Calculate l.\nAnswer: -2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45524 is divided by 2654.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47045 + 47045 + 3*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**2 - 14*k + 29. Let o(b) = -b**2 + 2. Let l be 4\/(-14) + (-1)\/((-49)\/(-35)). Let v(r) = l*m(r) + 5*o(r). Determine v(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 - 2*b**3 - 2*b**3)*(1 + 12*b - 1) - 9*b**4 + 0*b**4 + b + 3*b**4.\nAnswer: -18*b**4 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2492, -2580, -2818, -3278, -4032, -5152, -6710?\n\"Answer: -12*u**3 - 3*u**2 + 5*u - 2482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.7 - -17.7. Sort 1.76, y, -2 in decreasing order.\nAnswer: y, 1.76, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - -1. Let g = -23 - -23.1. What is the closest to o in 4\/7, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121120 (base 3) to base 5\nAnswer: 3242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8125371 to four decimal places.\nAnswer: -0.8125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1270499*o**2 - 698630?\nAnswer: -2540998*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 7, 3.72, 2\/63?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkhkkkhkkkhkkkkkk. What is prob of picking 3 k?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 + (-72)\/(-42). Suppose -100 = -c*g - 3*g. Calculate the greatest common divisor of 220 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125923.5kg to nanograms.\nAnswer: 125923500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 251332360?\nAnswer: 1759326520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-5)\/h)**(1\/10) assuming h is positive.\nAnswer: 1\/sqrt(h)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7924.629 microseconds?\nAnswer: 0.00013207715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 458280288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12441, -13574, -15461, -18102, -21497, -25646, -30549?\n\"Answer: -377*q**2 - 2*q - 12062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 - 37*q**2 + 30*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s**2 + 12*s + 26. Determine w(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (17 + -9 + -3)) + 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 2*q**3\/3 - 6*q**2 - 6*q + 4. Is 12 a factor of x(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27901*c**2 + 50878*c**2 - 11493*c**2 - 11486*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -280 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316122506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -3*c**5\/140 + 3*c**3\/14 - 3*c**2\/7 + 5*c. Let m(l) = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/28 - 27\/476. Let w be 0\/(5\/((-5)\/1)). Is w at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 20*a**2 - 24*a.\nAnswer: -4*a*(a + 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-13\/5)*g*g*g**(-1\/4)*g*(g\/(g*g**(-42)\/g))\/(g*g\/((g\/g**(2\/125))\/g)*g) assuming g is positive.\nAnswer: g**(23167\/500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(192) + sqrt(192) + sqrt(192)*2)*-5*3)**2.\nAnswer: -14400*sqrt(3) + 691425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/8330655 and 59\/11565.\nAnswer: 24991965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*s**2 - 7*s**2 + 39*s**2 - 38*s + 2*s**2 + 3 - 3 + (2 + 3 - 4)*(1 - 1 + s**2).\nAnswer: -s**2 - 38*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 divided by 37?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366*s - 600270 - 235185 = 953919. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2662?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7, -20, -59, -110, -173?\n\"Answer: -6*m**2 - 9*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1*sqrt(7) - sqrt(7))*2)**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 2, e: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 + 13 + 16 - 3 + 2*z - 24*z**2. Let q be s(-12). Suppose -2*h = q*h + h. Solve h*d - 3*c = 2*d - 3, -5*d + 5*c - 30 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8160550, 16321051, 24481552, 32642053?\nAnswer: 40802554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 228\/15*(-27)\/(-336). Let a = k - -5\/28. Find the common denominator of -7 + (-828)\/(-66) + -2 and a.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381245230 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/42? (a) 0.1 (b) 4 (c) -4 (d) 3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2\/5, 0.2, -2 in descending order.\nAnswer: 8, 2\/5, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7598\/5)\/((-35)\/(-175)). What is the tens digit of t\/12 - 12\/72?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 6*o**2 - 3*o - 9. What is l(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-15)*(-10)\/(-4). Calculate the remainder when -1 + 0 + 3 + y is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**5\/10 + d**4\/12 - d**3\/6 + d**2\/2 + 3*d. Let c be g(1). Suppose 0 = 4*i + 16, 57 - 16 = c*v + i. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-one halves of a millimeter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wihw when four letters picked without replacement from mwrwmmwwmwwwishmwimw.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 77 = -4*a. Let l = a - 22. Suppose 4*s - 2*s - 414 = 2*j, -l*s - j = -601. List the prime factors of s.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4676 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.187 - 0.313. What is the nearest to 2\/3 in -4, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 401508795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*s = -7*s + 54, s = 5*u + 73. Does 16 divide (-4)\/u - (-3699)\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 8 = 2, -7 = -3*z + x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, e: 5}. What is prob of sequence eee?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -1948 = -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -3, -5, -6, 68 in decreasing order.\nAnswer: 68, 14, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -21, -52, -97, -156, -229?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43\/2 + 22. Which is the nearest to -0.2? (a) m (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1184 + -1178. Calculate the lowest common multiple of v and 94.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191636855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8489, 0, -3, -17.\nAnswer: -17, -3, 0, 8489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 22162450300 to the nearest one million.\nAnswer: 22162000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myyymmmgyygmyy. What is prob of picking 3 m?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -117 + 532. Let n = -247\/3 + p. Let o(g) = g + 3. Let l be o(-3). Which is bigger: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513 (base 15) to base 6.\nAnswer: 5143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.25*47\nAnswer: 58.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -0.05 (b) -2 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4\/3 + 376*r**3\/3 + 10993*r**2 + 31856*r\/3 - 65212\/3 = 0 for r.\nAnswer: -238, -137, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9368842 + -3223019. Let r = v - 3244031. Suppose r = -3*h - 2798208. What is h rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1532*c + 1524*c - 675*c + 818*c to the form p*c + q and give p.\nAnswer: 3199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-4))\/((-7)\/(-42)). Suppose 0 - z = -3*r. What is the third derivative of 4*d**3 - 4*d**2 - 5*d**3 - 5*d**r + 3*d**3 wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32931012377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/(3\/36). Let w be 44\/(-12) + (-4)\/s. Let n = -2 - w. What is the greatest common factor of 8 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 20 = -0*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*o**3 - 36*o**3 - 64*o**3 - 60*o**3 + 295*o**3.\nAnswer: 102*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + u**2 - 5*u - 5. Let q(s) = s**2 - 2*s - 2. Suppose 0 = -3*i + 3*v, 96*i + v - 10 = 92*i. Determine i*b(y) - 5*q(y).\nAnswer: 2*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5098619909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*p = 13 - 46, 6 = -2*p for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -34, -60, -92, -130, -174, -224?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhbbhhbbhhhhhbxhxhh. Give prob of picking 1 x and 1 h.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1480 + 1492. Solve -4*l + l = -v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (80 + 8 + 6)*(1 - 2*t**3 - 1 + (1 - 1 + t)*(4*t**2 - t**2 - 5*t**2)) to the form o*t + v + z*t**2 + y*t**3 and give y.\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978.5838 months to millennia.\nAnswer: 0.08154865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49950997087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(5100) - sqrt(5100))*-1)\/((1*sqrt(2187))\/((2*sqrt(81))\/sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313368\/(-2374)*3\/(18*-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 214*a**2 - a + 29. Let c(m) = -106*m**2 - 15. Let x(n) = 5*c(n) + 3*s(n). What is the second derivative of x(i) wrt i?\nAnswer: 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) -0.1 (c) -0.3 (d) -136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 1649115241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 63*f**2 - 93*f - 350. Does 109 divide j(57)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 718384651\/31527 + -706214\/31. Let a = -74\/113 - p. Let h = -6 - a. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.10914 to 2 decimal places.\nAnswer: -1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16335 - -17669. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 4:07 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*d - 2*b - 8, -d - 2*b = -8. Let n(t) = t - 8. Let z be n(d). Suppose 2*j + 3*j - 4 = 2*c, z = -4*j + c + 5. Solve j*i + 4 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2. Let j(m) = m**3 - 4*m**2 - 2*m - 47. Let l be j(7). Let i(d) = 203*d - 25*d - 19*d - l*d. Calculate y(i(t)).\nAnswer: -10658*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -381, -371, -355, -333, -305?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8574 to 3 dps.\nAnswer: -0.857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u - 8. Let h be (-81)\/(-15) - (-12)\/20. Is l(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1450 + -3.4?\nAnswer: -1453.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-4))\/((-4)\/16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2356\/11 + -214. Let i = 7.11 - 0.11. Let g = i + -12. Which is the third biggest value? (a) -1 (b) o (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0) + (0 - (-2 + 2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17327.940028 - 17328. Let s = -0.0683 - -0.1283. Let x = s + t. What is x rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 2*w + 5. Let c = 3742 - 3740. What is k(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ote when three letters picked without replacement from {t: 1, o: 1, e: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5452 + 16121. Does 28 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 57 = -4*p, -81 = 5*w + 5*p - 3*p. Let h = w + 23. Calculate the highest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -239.9223 and 0.006?\nAnswer: 239.9283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m**2 - 245 + 245)*(-5*m**3 + m**3 - 6*m**3).\nAnswer: -90*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/7, 1\/2, -0.1, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t**3 - t**2 - t - 1. Let h be i(-1). Let n(x) = 25*x - 106. Let y be n(h). Calculate the greatest common factor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1\/4, -8.2, 2\/5, -1?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - 2*j**2 + 5*j - 3. Let c(t) = -6*t**3 - 3*t**2 + 11*t - 7. Let a(l) = -2*c(l) + 5*z(l). Calculate a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -13*g - 26. Let a be f(-2). Let w(q) = -8*q + 6*q - 2*q**2 + q**2 + 17. What is the tens digit of w(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 + 446\/7. Suppose -2*x + 2*m - 2 = 0, 3*m + 3 - 22 = -x. Let k = x + -4. Which is smaller: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/20570 and -3\/1870.\nAnswer: 20570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2571 + -2524. Sort 3, w, 5 in increasing order.\nAnswer: 3, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.026526 to three decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -bda (base 15) to base 3\nAnswer: -10200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1642*f**4 - 2259*f**4 + 4542*f**4 + (1 - 1 - 2*f**2)*(-2*f**2 + 0*f**2 + 3*f**2) + (-4*f**3 + 0*f**3 + 5*f**3)*(-f + 2*f + f).\nAnswer: 641*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a76 (base 11) to base 12.\nAnswer: 3086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -205*t**3*z - 162*t**3 wrt z.\nAnswer: -205*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -4 + 7 + -1. Suppose -4*x - y*u + 27 = 0, -u - 2 = -3*x + 2. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**3\/6 + 5*k**2 + 3*k. Let q be (-14)\/(-11)*132\/24. Let c be g(q). What is the greatest common divisor of 15 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -71\/5 - 72\/5*n - 1\/5*n**2 = 0.\nAnswer: -71, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydddr. Give prob of picking 2 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**3 - 17601*q**2 - 3508089*q + 76213050693 = 0. Calculate q.\nAnswer: -3809, 1751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -118 - -117.84. Sort -1, n, 5 in ascending order.\nAnswer: -1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 7*c**2 - 7. Suppose 7 = -4*o + 5*o. Determine h(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3246 divide 1409169750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 3*d + 5. Let o(a) = 2*a**2 - 5*a + 10. What is -5*m(j) + 3*o(j)?\nAnswer: j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3209 is divided by 130?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 13. Is (-4780)\/(-36) + q\/18 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 247745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 70*d**2 - 3*d + 3. Let h(b) = 9*b - 3. Calculate the remainder when z(1) is divided by h(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/2903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 680707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (2 - -2) - (19 + -37 + 22)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00304812 rounded to 4 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 11:39 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/(42\/45 - 1)*(-308)\/(-385)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4 - (-3 - -6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1225 - -1342.8. What is y rounded to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 3:05 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-140)\/(-3)*((-76)\/(-16) - 1). Suppose -2*d = -2365 + q. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 31. Let x(q) = q**2 - q. Let k be x(2). Suppose 2*r - 632 = -3*r - k*z, -3*r = -2*z - 376. Calculate the highest common factor of h and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*b + 5*b + 144 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 465 - 1076. Let u = -609 - x. Solve u*z + z - 4*n = 0, -19 = z + 5*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8016343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95481 is divided by 63.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12510 (base 9) to base 13.\nAnswer: -3ab9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47441 + 47433. Let z = -1 - 2. Sort z, q, 0.\nAnswer: q, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3*2\/4)\/((-87)\/2154062) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 + 225\/(-36). Is ((-3)\/2)\/(m\/232) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oooeooooooeoooeo.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -435 divided by 13.\nAnswer: -435\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*z**2 + 8*z - 143*z**2 - 8*z.\nAnswer: 131*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2*k + 8 = 0, -20*h = 91*k - 93*k + 72 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95546 and 3333?\nAnswer: 286638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*m**3*t**2 - 215*m**3 + m**2*t**2 with respect to t.\nAnswer: -54*m**3*t + 2*m**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2. Let g(y) = 15*y**2 + 12*y**2 - 26*y**2. What is g(w(x))?\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2297984 divided by -1148992\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 58 - 1. Suppose b - 4*k - v = 0, -2*b + 0*k + 3 = -k. Do b and 1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*k + 3. Solve -3*m + 6*m + 3 = k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(78) + sqrt(78))\/((sqrt(42)*1)\/sqrt(7))*1 + 2.\nAnswer: -9*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 l when four letters picked without replacement from {l: 4, e: 2, v: 1, h: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 6*d + 8. Suppose v = 7*v. Suppose v = -5*i + 36 + 34. Let l be (-6 - -2*1)*(-21)\/i. Determine a(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - 6. Let b be u(-6). Let v be b*(0 - (-2)\/4). Suppose -v*d = 2 - 26. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 37 = 2*b + 5*v, -5*b - 3*v = -56. Let q = -55 + b. Let d = -26 - q. What is the highest common divisor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 764795 and 2141426.\nAnswer: 10707130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 132 = 16*p. Let h(n) = 6*n**3 - 5*n**2 - 24*n - 26. Is h(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 6:22 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 2*a**2 + 11 - 8*a - 6*a**2 - 4. Suppose -51 = -4*u - 5*l, -l = -4*u + 39 + 42. Let h(j) = 2*j**2 - 37*j - 26. Let o be h(u). Give r(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 274927 + -274889.9922. Let m = 37 - v. Round m to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 less than -6417.68?\nAnswer: -6254.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8809283 take away 37505?\nAnswer: 8771778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -40, -45, -50, -55, -60?\n\"Answer: -5*u - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556 = 8*f - 1188. Find the third derivative of 75*p**2 + 1 + f*p**6 - 46*p**2 - 3 - 56*p**2 wrt p.\nAnswer: 26160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**2 - 5*t + 36. Let z(h) = 2*h**2. What is z(a(m))?\nAnswer: 8*m**2 - 40*m + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 19*s + 1622 = -4*o, -4*s = -3*o - 2172. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 20 = d. Let y = -4 - d. Let s be 3\/2*(y - -2). Solve 0 = -t - 2*t + s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dld when three letters picked without replacement from {d: 2, k: 5, m: 4, n: 3, f: 5, l: 1}?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -11*p - 11. Let j(n) = 7*n + 7. Let b = 17 - 9. Let y(h) = b*j(h) + 5*z(h). Let f(g) = -2*g**2 - 8*g - 5. Calculate f(l) + 6*y(l).\nAnswer: -2*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**4\/4 - 2*d**3\/3 - 3*d**2 - 3*d - 1. Let z be g(5). Let a be 9524\/(-8)*z - -1. Round a to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1447*a + 16383 + 58861 for a.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25.656779*-0.1.\nAnswer: -2.5656779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1728*x + 1251*x - 262*x - 1366*x - 3694*x to l*x + y and give l.\nAnswer: -5799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 5:43 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.2 + 2.5. What is the closest to v in -0.2, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -13*r**3 + 18*r**2 - 2*r + 50. Let m(a) = 7*a**3 - 10*a**2 + a - 25. Let l(t) = 11*m(t) + 6*z(t). Find the second derivative of l(y) wrt y.\nAnswer: -6*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 56 + 72. Solve -3*a = a + j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56424 is divided by 18624.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2563 (b) 0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42178 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -487? (a) -0.1 (b) 0 (c) 0.1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6 - 3 - l - l**2 + 6 - l. Let r be v(-5). Sort r, 2, -3.\nAnswer: r, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-20)\/(-8))\/(1 - 2) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4744823 + 4744822.2080349. Let m = 0.3436 + -1.1356. Let j = o - m. Round j to 6 decimal places.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22155 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 15 = 3. Suppose 8*f + 9884 = 9972. Let s(k) = 3*k**2 + 7*k - 2. Let m(g) = -2*g**2 - 4*g + 1. Determine f*m(x) + v*s(x).\nAnswer: -4*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2*-478*(-4 + 0). Suppose p*g = 958*g - 24. Let w(r) = 5*r. Let n be w(3). Which is smaller: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378638 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, 2\/7, -32?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(4131) - 2*sqrt(4131)*-3)\/(-2*sqrt(243)*-1 + -3*(sqrt(243) + 2*sqrt(243)) + sqrt(243)).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.939 in 5, 4, 3.6?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 2*r - 2. Let g be u(1). Suppose 33 - 75 = -g*p. What is the greatest common factor of 210 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in decades?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 a when three letters picked without replacement from {n: 2, a: 17}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3246 * -0.3\nAnswer: -973.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23797, 22710, 21623, 20536, 19449?\nAnswer: 18362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -112933*k**3 + 2*k**2 + 6*k + 2627360 with respect to k.\nAnswer: -338799*k**2 + 4*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2580117 divided by 3\nAnswer: 860039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z, -7*k + 3*z - 6360 = -12*k. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**3 + 3*i**2 - i - 38. Let m(v) = 5*v**3 + 4*v**2 - v - 39. Let o(n) = 3*m(n) - 4*q(n). Is o(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**2\/3 + 16*x = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 144000 = -5*x. Suppose 5*c - x = c. Round c to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (152\/(-95))\/((-8)\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1310232 + 1?\nAnswer: 1310233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -15 - 28 - -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -95599.7?\nAnswer: -95599.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 59, 176, 481, 1064, 2015, 3424, 5381, 7976?\n\"Answer: 15*g**3 + 4*g**2 + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-315)\/10800*-4 + 2 + (-9)\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3562991873 a multiple of 7763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8066917 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5099810 >= 5099812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((4 - -2) + -6)*(-2)\/4. Solve -5*h + g + b*g - 27 = 0, -8 = -4*g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 213*w - 13. Let a(k) = -110*k + 8. Calculate 5*a(v) + 2*g(v).\nAnswer: -124*v + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -445566250 divided by 250\nAnswer: -1782265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 8:11 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -44*0.451\nAnswer: -19.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -114, -17, 152, 399, 730, 1151, 1668, 2287?\n\"Answer: y**3 + 30*y**2 - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 34*y**2 + 32*y + 35. Let h be x(33). Let f(z) = z**2 + 2*z - 2. Let l be f(h). Solve 11*p - l*p + 10 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3278599423?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3 = o, 3*j = 5*o - j - 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71155)\/(-7490)*(-1)\/((-2)\/4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*r - 4*r + 1)*(6*r - 4*r + 6*r).\nAnswer: -8*r**2 + 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -13 - 7. Let b be (-15)\/20 - (-2)\/(-8). Let g = b + o. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 9:42 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t + 49 - 49 - 8*t.\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 9*z + 6. Let f be y(-9). Find the common denominator of (-53)\/91 + f\/39 and (-10)\/14 - 1 - -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11309164 a multiple of 468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -12*k + 0 + 19*k + 0. Let r(y) = 2*y**2. Give v(r(u)).\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 3*q**2 + 4*q - 1. Calculate l(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 16. Calculate k(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2857338 and 57724.\nAnswer: 5714676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/18 and 85\/1209.\nAnswer: 7254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - (-7)\/(-2))\/(1\/(-6)). Let p(v) = -v + 7. Let t be p(r). Solve 0*a - 4*l + 16 = t*a, 2*a - 4*l = -22 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 - 3)*(-4 + 4 - 2*y) + 3 - 3 - y + 2*y + 0*y - 3*y - 148 - 39*y + 148)*(3 + 5 - 12).\nAnswer: 148*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2 - 2*f. What is the remainder when a(3) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000046941 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, -44, -156, -378, -746, -1296, -2064?\n\"Answer: -6*f**3 - f**2 + 7*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*n. Suppose s + n = 1, -4*s - 35 = -3*c. Find the second derivative of 14*o + 575*o**3 - c*o**4 - 575*o**3 wrt o.\nAnswer: -156*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 7. Let m = -6 - -11. Put -0.1, m, q in descending order.\nAnswer: m, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wawwbanbwnwvawaavaaw. What is prob of picking 2 b and 1 a?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 3*z + 24, 0 = 2*v - 0*z - 5*z + 25. Let n be 0\/2 + (0 - (v - -6)). Is 2 + 1\/(n\/(-2193)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -10*q - 5. Let u(j) = 9*j + 5. Let d(y) = 5*f(y) + 6*u(y). List the prime factors of d(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13*161\/1196 - 2)\/(1\/15)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1312218?\nAnswer: 2, 3, 72901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 6:44 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z = -75*z - 148. Let f(q) = 9*q**2 - 8*q**2 - 5*q - 6*q**2 + 2*q**2 - 2. Calculate f(z).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5\/3, 44, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -270\/77 - -26\/11. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204022 divided by 7\nAnswer: -29146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 22*i**2 + 61*i + 96. What is the hundreds digit of y(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 6. Determine g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*15*66\/56430?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.568 - -0.547. Let c = 0.015 - x. Let q = 8.1 + c. Which is smaller: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1849*v - 3 + 0 + 6 + 2.\nAnswer: 1849*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16233173 to the power of 1\/2, to the nearest integer?\nAnswer: 4029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 255017 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106542?\nAnswer: 2, 3, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 277219049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 597168373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -32*r + 2. Let f(k) = 15*k - 1. Let s(l) = -7*f(l) - 3*u(l). What is s(3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -5*g**8\/1008 - 5*g**7\/126 - g**6\/36 + 7*g**5\/18 + 5*g**4\/24 - 5*g**3\/2 - g**2 + 3*g. Suppose q(p) = 0. Calculate p.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -16*q**2 + 4*q**2 - 12*q**2. Let f(s) = -s**2 + 2*s - 4. Let v(u) = -u + 3*u**2 - 2*u**2 - 105 + 107. Let c(h) = -f(h) - 2*v(h). Give i(c(j)).\nAnswer: -24*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.09190989 to four decimal places.\nAnswer: 1.0919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/55? (a) -0.5 (b) -1 (c) -14\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 106\/44 - 101\/(-1111)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 13*s**2 - 20*s - 28. Let v be w(-13). Suppose 253 - v = 7*g. Solve -u - 5*n + 0*n = 0, 22 = -5*u - g*n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35\/47 - 3293\/564. Let v = -31345\/8 - -3912. What is the common denominator of v and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}