diff --git "a/data/dm_maths/full_data_1/10865_11255.jsonl" "b/data/dm_maths/full_data_1/10865_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10865_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the rth term of 302, 597, 890, 1181?\n\"Answer: -r**2 + 298*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.37789926 rounded to 0 dps?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -181 + 370. Let w(v) = 2*v**3 + 17*v**2 + 20*v + 103. Let h be w(-8). What is the highest common divisor of j and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide (30\/(-18) + -1)*689061\/(-68)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26999*v**3 + v**2 - 10*v + 3745 wrt v?\nAnswer: -161994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42\/12 + 2\/4. Suppose 0 = q + d*i + 37, 2*q + 2*i = -0*q - 56. Let s = 43 + q. Calculate the remainder when 70 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jukjibjkjjk. What is prob of picking 1 i and 1 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 8. Give p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y\/y**(-42))*y*y*y*y**(-44) assuming y is positive.\nAnswer: y**(-82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7135035.\nAnswer: 3, 5, 475669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -260100*i**3 + 99481*i**2.\nAnswer: -1560600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**(-9)*y))\/y*y*y**(-1\/6) assuming y is positive.\nAnswer: y**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226230 is divided by 386?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 2*i + 5*i)*(2*i + i - 2*i) - 5*i**2 + 2*i**2 + 4*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2 + 5*h + 6*h**2 - 6*h + 4 - 3. Does 8 divide u(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -13*l**2 - 4*l**2 - 13*l**2 - 8*l**2 + 40*l**2. Let d(b) = b + 12. Determine r(d(t)).\nAnswer: 2*t**2 + 48*t + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007640642 rounded to 6 decimal places?\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 51. Suppose -v*f - 2*m = -502 - 759, 2*f - 5*m = 866. What are the prime factors of f?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 12*s**2 - 20*s + 107. Calculate p(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4497538 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25900 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1143070188?\nAnswer: 2, 3, 13, 149, 49177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(832) + 0)**2 - (4*(sqrt(156) - (sqrt(156) + (sqrt(156) + 1*sqrt(156) - sqrt(156)) + sqrt(156)) - sqrt(156)))\/(sqrt(12) + -2*sqrt(588)).\nAnswer: 404*sqrt(13)\/13 + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.47 + -4.94. Let j = -0.031653 + 2.482753. Let l = j + r. Round l to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + 74*d - 162. Give l(-39).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 97*i + 78*i + 153*i.\nAnswer: 329*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*-381974\nAnswer: 534763.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l*o**4 + 2*l*o**3 - l*o**2 + 2083394*o**4 - 762*o**2 - 94*o - 36 wrt o?\nAnswer: 48*l*o + 12*l + 50001456*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 507, 431, 319, 189, 59, -53, -129, -151?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214468 is divided by 42772.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7838941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 + -21223213143?\nAnswer: -21223213310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356 + 42*r + 88 + 217.\nAnswer: 42*r - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/9, -0.04, 1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -3\/2 (c) -4493 (d) -176 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2413671791 to the nearest integer?\nAnswer: 49129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61 - -71. Let s = -20 - -20. Suppose s = -b*t + 35 - 15. Solve 3 = q - t*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 6*m - 1. Let w be y(-4). Let s = w - 2. Solve -4*a - 3*t - 13 = 0, -13 = 5*a - s*t + 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 68. Let y(w) = -28*w - 35. Let u be y(8). Let a = 274 + u. Calculate the remainder when o is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/2 and -1\/38508010?\nAnswer: 38508010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 9:32 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**4\/4 - 1728*z. Let m(h) = -23*h + 6. Let t(j) = -46*j + 13. Let i(b) = -13*m(b) + 6*t(b). Give w(i(d)).\nAnswer: -1587*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -955 + 942. Let v(i) = -2*i - 30. Let f be v(l). Sort f, -50, -2 in descending order.\nAnswer: -2, f, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.1 + -5. Let w = -0.1000038 + r. Round w to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36756 = 27*a - 16515. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 105499110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -7*b + 23. Solve 0 = k - 3*d + 14 + b, -3*k = -d + 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -381260 times -737?\nAnswer: 280988620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3245 * 29741.\nAnswer: -9650.9545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -86, -385, -894, -1613?\n\"Answer: -105*l**2 + 16*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101401637?\nAnswer: 863, 117499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*i**4 - 2)*(2*i - 2*i - i) + (-3*i**3 + 0*i**3 + 0*i**3)*(-4*i**2 + 3*i**2 + 0*i**2).\nAnswer: 6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16114 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 46023*m.\nAnswer: m*(m + 46023)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2708531, -2708532, -2708533, -2708534, -2708535, -2708536?\nAnswer: -2708537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1257, 2338, 3417, 4494, 5569?\nAnswer: 6642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/4)\/(18\/(-156)*-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/8 - 55*z**3\/8 - 509*z**2\/4 - 948*z - 2340 = 0. What is z?\nAnswer: -26, -12, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/((-37)\/((-777)\/84))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2583*o**3 + 29932*o**3 + 94069*o**3 + 49848*o**3.\nAnswer: 171266*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 7*d = 28. Let p = -10 - d. Find the second derivative of 3*z**4 - 3*z**p + 0*z + 5*z - 4*z**4 wrt z.\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -25*o**4\/12 - 19*o**3\/3 - 19*o**2 + 15. Let t(f) be the second derivative of y(f). What is the derivative of t(c) wrt c?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 148 + 50 = 0. Let m be ((-1)\/3)\/((-11)\/g). Determine z so that 5*z - 8*z + 5*z**2 - 2 - m*z**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2202 (base 6) to base 3\nAnswer: 200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -30. Let q = -28 - g. Which is smaller: -0.4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3 - 1820*x**2 + 14656*x - 29376 = 0. Calculate x.\nAnswer: -918, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 44\/5 of a micrometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2. Suppose 4*n - 4 = b, 0 = 2*b - n - 4 - 2. Let p(o) = 3*o**2 + b + o**2 - 4. Give c(p(u)).\nAnswer: 32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*s = -4*s - 38, -2*t + 3*s = -51. Let r be 2\/9 - 4\/t. Let c = -49.9 - -50. Put 5, r, c in increasing order.\nAnswer: r, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024505982 rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -3.4. Let n = -0.34 + -0.06. Let s(q) = 2*q**3 + 5*q**2 - 50*q + 54. Let x be s(3). What is the third biggest value in j, n, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1017*t + 1044*t - 8030961. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.0233, -2\/3?\nAnswer: 0.0233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 + 2 + c**2 + 6*c**2 - c**2 + 2*c**2 + c**2 + (2 + 1 + 9)*(-5*c**2 + 3*c - 3*c).\nAnswer: -54*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m - 1. Let c be k(-9). Suppose -5*f + 4*f = -2*u - 282, 5*u + 1134 = 4*f. Calculate the greatest common divisor of f and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -53*d + 1. Let h(i) = -28*i**2 + 3*i. Give h(b(n)).\nAnswer: -78652*n**2 + 2809*n - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/3 - (-6 - (7 + 3)). Suppose 0 = 5*x + c, -3*i = -i - x - 16. Let u(f) = f + 1. Determine u(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/26 or 0?\nAnswer: -21\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 64, 148, 288, 502, 808, 1224, 1768?\nAnswer: 2458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -820*i - 814*i - 816*i + 2450*i + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9574973 - -2606.\nAnswer: -9572367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9912181 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/169 + (-48)\/(-702)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.694026 months in centuries?\nAnswer: 0.015578355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -961, 303, 13 in descending order.\nAnswer: 303, 13, -961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**2\/2 - 4. Let x be ((-10)\/1)\/(-4 - -2). What is n(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -56*z + 17. Let f(n) = -7*n + 2. Let t = -62 + 113. Let s(c) = t*f(c) - 6*a(c). Let y(b) = 3*b. What is y(s(r))?\nAnswer: -63*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2912 (base 13) in base 16?\nAnswer: 172a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opy when three letters picked without replacement from opooxpyxxttyytdppp?\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10025 + -120247\/12. Find the common denominator of c and ((-2)\/(-8))\/(16\/(-130)).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 2\/3 - 0. Let j be 26\/143*(3*-2)\/2. What is the nearest to -1 in c, j, -2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*x = -14, 5*a = 5*x + 13 + 2. Put -1, a, 96 in increasing order.\nAnswer: a, -1, 96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20, -22, -38, -74, -136?\n\"Answer: -m**3 - m**2 + 8*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -17 * 327\nAnswer: -5559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 282607 and 1989?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127\/4 - 401\/12. Let l = -0.0999 + 0.2999. Which is the closest to l? (a) 2 (b) -10 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4426*w - 606354. What is l(137)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 239\/2*t**3 + 12 - 157\/2*t**2 - 87\/2*t**4 + 9\/2*t**5 = 0.\nAnswer: -1, -2\/3, 1\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1982706 by 660902.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4991390.\nAnswer: 2, 5, 499139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (162\/4 + 0)*-2. Suppose 78523 = 176*f + 20091. Let l = f - b. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/13, 3\/68, 10, 5, -2?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6359127*d**3 + 20*d*x + 49942673*x with respect to d.\nAnswer: -19077381*d**2 + 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*i**3 + 530*i**2 - 402*i.\nAnswer: 2*i*(i + 67)*(4*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 16, -1803, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 50, 77, 106, 137, 170?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1300) + 2 + sqrt(1300)*-1 + -4)*-4*-3*-2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 280\/39, 0, 1, 0.3, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 25*v**2 + 8 + 17.\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 2:11 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*d = -248*d + 1372 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585193063.\nAnswer: 7, 13, 43, 149551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27219*s - 27228*s + 36 = 0. Factor 2\/3*m**s + 9\/2 + 39\/2*m**2 - 45\/2*m - 37\/6*m**3.\nAnswer: (m - 3)**3*(4*m - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 480 - 480 - 50*f**3 - 10*f.\nAnswer: -50*f**3 - 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 34.1. Suppose 46 = 3*w + 2*z, -5*w + 38 = -2*w + 4*z. Let a be (-76)\/(-18) + (-4)\/w. What is the closest to x in -0.2, 1, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109699, -109698, -109697, -109696?\nAnswer: -109695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (-2*sqrt(68) + sqrt(68)))*3 - sqrt(68))\/(-5*sqrt(144)) + (((2*sqrt(1088) - sqrt(1088)) + 2)**2 - (0 + -1*sqrt(1088))) + -3.\nAnswer: 239*sqrt(17)\/6 + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -30238 divided by -5\nAnswer: 30238\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-189*v + 319*v - 154*v)*(-2 + 2 + 2*v).\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**4 + 2*q**2 + 6*q - 278. Let r(n) = -4*n**4 - 8*n**2 - 27*n + 1111. Let d(o) = -9*i(o) - 2*r(o). Find the first derivative of d(l) wrt l.\nAnswer: -4*l**3 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/((t*t\/(t**(-2)\/t)*t)\/t))\/(t\/(t**5*t*t*t)*t*t\/(t\/t**2*t*t)) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k + 1. Let h be x(-3). Suppose h + 17 = l. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 942\/18 + (-2 - (-16)\/6). Suppose 4 = j - r. Determine t, given that -73 + 79 + 38*t**2 - 146*t**2 - 45*t - j*t**3 = 0.\nAnswer: -1, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12899771117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2029 = -7*d - 1010, -427 = d + 4*m. Let u be ((-261)\/d)\/(6\/50). Solve -u*w = 2*w - 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49640, -49202, -48776, -48368, -47984, -47630, -47312?\nAnswer: -47036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1083.075nm to millimeters.\nAnswer: 0.001083075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -9972*f - 1. Let r(x) = 17*x + 1. Determine n(r(a)).\nAnswer: -169524*a - 9973","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220002 - 2220122?\nAnswer: -10210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -14. Let w = -5 + o. Let d be 2\/1 + (w - 6). Solve d - 20 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = -2*h. Which is the closest to h? (a) 0 (b) 4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -122\/16010813?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*d**4 + 251*d**2 + 2*d + 22639?\nAnswer: 20*d**3 + 502*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-30))\/((-2)\/10). Let u be (c - (-21)\/12)*0. Differentiate -11 + u*j**3 + 10 + 16*j**3 - 16 wrt j.\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12070, 23937, 35642, 47185?\n\"Answer: -81*i**2 + 12110*i + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.13 (b) 1 (c) 0 (d) 4 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 15) to base 16\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3)**(-43)*((l**17\/l)\/l)\/(l*(l*l**(1\/4)*l)\/l) assuming l is positive.\nAnswer: l**(-465\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29646 + -29646.699872. Let i = c - -0.7. Round i to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1550513969 - 1550513969 - 22*u.\nAnswer: -22*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15124 divided by 3781?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 3566?\nAnswer: 1069.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 + 11*f + 8. Calculate w(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 285, 399, 603, 897, 1281?\n\"Answer: 45*s**2 - 21*s + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j + 18. Let d be y(-3). Suppose -5*r + 0*r = -d*z - 124, -3*r - 3*z + 84 = 0. What is the highest common factor of 104 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 860*q - 1717*q + q**2 + 857*q - 12*q**3 + 11*q**3.\nAnswer: -q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76246 + -39163. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 852196 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4 - 26. Suppose 18 = 2*u + 4*m, 0 = -0*u + 4*u - 2*m - f. Let i(q) be the second derivative of -q**5\/20 + q**4\/4 + 3*q**2\/2 + q. Give i(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - 3*n + 6*n)*(441*n + 23 - 440*n + 3) to t + h*n**2 + a*n and give a.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/7 + 464\/(-112). Let a(r) = -r + 4. Let y be a(6). Sort y, p, 0 in descending order.\nAnswer: 0, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/23)\/(2\/(16\/(-8))).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -10. Let x(p) = p**3 + 3*p**2 - 1. Let i(a) = -a**3 - 2*a**2 + 1. What is s*i(t) - 3*x(t)?\nAnswer: t**3 - t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -10*v**2 + 17*v**2 - 14*v**2. Let t(w) = 1 - 1 - w + 0. Determine t(x(g)).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 379277.8cm in millimeters?\nAnswer: 3792778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 172048457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 p, and 2 v when four letters picked without replacement from vpmmmvvvyvmpmzpvm?\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3 = -5*a - 7, 0 = -2*h - 2*a + 32. Let l be (0 + h\/(-8))*(-3044)\/(-6). Let s = l - -1440. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1900)*-2 - sqrt(1900)) + sqrt(1900))**2 + 2 + sqrt(19) + (1 + sqrt(19))*2.\nAnswer: 3*sqrt(19) + 7604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 10*p**2. Let s(g) = 2*g - 14 + 14. Calculate s(c(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + (-48 - -68)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 793 and 65.\nAnswer: 3965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2646 by -2.\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k - 5*j - 11, -4*j = -3*k + 77. Calculate the remainder when 1265 is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 26. Let b(y) = -y + 2. Let c be b(-3). Suppose -c*o + n = -2*o. Calculate the smallest common multiple of o and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 1.8 (c) -0.3 (d) 5\/4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 6216*b**2 - 1024776*b - 43429312.\nAnswer: -2*(b + 86)**2*(b + 2936)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90806 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -2)*254\/4. Suppose 250*m - d = 251*m. Is m bigger than -127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20, -19, -16, -11, -4, 5?\n\"Answer: r**2 - 2*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2932.07 - 2958. Round l to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6175009 divided by -6175009.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -8) + (-2 - 0 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 647178 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6 - 22 + 16 - 6*s**2. Let o(b) = -2*b**2 - 22*b. Calculate o(c(d)).\nAnswer: -72*d**4 + 132*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197 = 24*a + 31 - 26 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + -27. Let o = 26 - m. Solve 2*s - n = 15, -s - o*n - 20 = -0*n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13861999577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z**4\/2 - 50851*z**3\/4 + 1923735*z**2\/4 - 4408614*z + 140211 = 0. What is z?\nAnswer: -577, 3\/94, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 14*p**2 + 2*p - 22. Calculate s(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.47 + 0.5. Let r = 24482 + -24478. Which is the third smallest value? (a) -6 (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 6993285?\nAnswer: 13986570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 13*n = 1285. Let s = -164 - n. What are the prime factors of s?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 23 (b) 1\/379 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(-1*sqrt(66) + sqrt(66) + sqrt(66)))\/(-5*-1*sqrt(6)).\nAnswer: -5 - sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 1:52 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 1. Let k = -7\/107 - -349\/428. Which is the smallest value? (a) 0 (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10143?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 7 - 101*b + 17893*b**2 - 19183*b**2 wrt b?\nAnswer: -2580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4 + 8 = 0. Calculate the remainder when 19 is divided by -2 - 12\/s - -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnnccnnnnccnncnnncn. What is prob of sequence cc?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1331044316 and 5068.\nAnswer: 5068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-112)\/6*-9*4\/48. Suppose 2*b + 242 = -10*d + a*d, d - 4*b = 50. List the prime factors of d.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 4:25 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-20)\/k)\/(k\/(k*k**(2\/13))*k))\/((k\/(k**(-16)*k))\/((k*k**(7\/6))\/k)) assuming k is positive.\nAnswer: k**(-2861\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 200\/750*5\/20*-6 + 17\/45?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20986331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.26 + 0.79. Let m = x + -0.93. Which is the third biggest value? (a) -4 (b) m (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, -3, 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -x + 2*b + 60, 2*x = 5*b - 54. Let o be (1*x)\/(3\/(-6)). Is o\/(4\/14*1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30401 and 172886144.\nAnswer: 4343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 34*m**2 + 32*m + 108. Determine x(35).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 39 = 2*r, 16 = 2*r + r + 4*d. Suppose 2*y - r = -2. Suppose -5*b = -5*o - 10, 3*o + o - 3*b = -y. Calculate the lowest common multiple of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1354*y + 123398 = -4908*y + 357962 for y.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -63 (base 15) to base 2\nAnswer: -1011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((12\/35)\/3)\/((-40)\/(-124)) and 16\/9.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -0.2, 24, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 2*w - 4. Suppose -7*c + 3 = -6*c. What is the least common multiple of c and b(5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 26 = 7*v. Calculate the highest common divisor of 117 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5 - 20*k**4 - 21*k**3 + 1372*k**2 + 1372*k = 0. What is k?\nAnswer: -7, -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tti when three letters picked without replacement from iiiiiiitttiiiitiit?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 2*a**2 + 3. Let y be x(-3). Let f(i) = 4*i - 13*i + 3 + 8*i. Give f(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663147.3 meters in nanometers?\nAnswer: 663147300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/17)\/v*((v\/((v\/(v*v*v**(2\/21)*v)*v)\/v))\/v)\/v)\/(v**(2\/31)\/v*v\/v**(3\/13)*v) assuming v is positive.\nAnswer: v**(-123176\/143871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 12:22 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 2*q**2 - q. Let g(l) = 42*l**3 + 8*l**2 - 4*l + 9. Let b(n) = 4*f(n) - g(n). What is the hundreds digit of b(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*l = 12862, -4*l + 4121 = -2*s + 10547. Suppose -92 + s = 9*a. Does 35 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 3485 in decreasing order.\nAnswer: 3485, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64475*f**2*t**3 + f**2*t**2 - 2*f**2 + f*t**2 + 151*t**2 wrt t.\nAnswer: -386850*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -11330, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 471?\nAnswer: 2355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*(sqrt(1100) + sqrt(1100) + 0 + sqrt(1100) + sqrt(1100)))**2 + -4.\nAnswer: 140796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o*s + 3*o - 207*s + 15 wrt s?\nAnswer: o - 207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 46\/115*105\/6. Let h be ((-48)\/36)\/(2\/(-18)). Solve -4*t + p + h = r, -t - r = -7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6624554 by 3.\nAnswer: -6624554\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 d, and 2 p when four letters picked without replacement from ucdddccupcudpp?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79224444*x**4 + 759164250*x**2?\nAnswer: 1901386656*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799917.\nAnswer: 3, 23, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -96.1 + 1166\nAnswer: 1069.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -107*p + 52. Let o(n) = 59*n - 28. Determine -4*g(a) - 9*o(a).\nAnswer: -103*a + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 14 = 4*o - o, -5*o + 5*y = -10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -6 + 0*c - 5\/6*c**3 + 1\/4*c**4 + 5*c**2. Let r(t) = 11*t - 9. Calculate -5*g(h) + 3*r(h).\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -153297837 or -153297842?\nAnswer: -153297842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1*-251\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.801235 centuries to years.\nAnswer: 480.1235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnu when three letters picked without replacement from cinwcwwuuwc.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a*l**3 - a*l**2 - 4558*a*l - 16635*a + 2408*l**3 - 170338 wrt a.\nAnswer: -l**3 - l**2 - 4558*l - 16635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.62 - 16.82. Which is the closest to 0? (a) 2\/7 (b) m (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*q + 12*q - 4*q)*((-2 - 1 + 4)*(0 + 5 - 3) - 3 + 2 + 4 - 7 - 4 + 3) as z*q + w and give z.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64.0086 + 1.2786. Let p = v + 63. Let u = p + -0.2699938. What is u rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-45) - (-2)\/9. Let z = 26\/99 - w. Sort z, 0.5, -3.\nAnswer: -3, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 - 86. Suppose -13*r + b*r + 105 = 0. Calculate the highest common divisor of 21 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-15)*5\/(-2). Suppose d + u + 1 = 2, -3*d + 3 = -m*u. Suppose 2 = h - d. Solve -2*p = -h*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 2549*z**3\/3 + 2743*z**2\/2 + 4905. Find the second derivative of j(q) wrt q.\nAnswer: 5098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -1 + 5\/(-5). Let t = 16 + u. Suppose -k - 4*g = -t, k + 0*k + 5 = 2*g. Solve k*b = -w - 9, 5*w - b = -0*b - 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26106680 - 0.3.\nAnswer: -26106680.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 - 7)*(-2)\/(-2). Suppose t*u - 18 = 3*u. Sort u, -2, 2 in increasing order.\nAnswer: u, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19130116 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -187.\nAnswer: -37.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*z**4 - 16*z**2 + 9*z + 1 wrt z?\nAnswer: 60*z**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-170)\/(-102)*((-31320)\/(-100))\/(-9).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-15)*495\/1188. Let h = -13 - -119\/9. Which is the closest to h? (a) 3 (b) -5 (c) s (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-36) + 29\/9. Suppose 4*t + r = -10, -v*t + 0*t + 4 = -5*r. Does 12 divide 45*t\/(-2 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -476 - 934. Let i = f - -241. Solve -2*j + i = -2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = o + 2*x, 4*x = o + 2*o - 7. Suppose -5*z = 3*g - 0*z - 209, 0 = 4*g - 3*z - 240. Calculate the highest common divisor of o and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.9 + -0.1. Let m = s - -13. Do 0 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -19941\/2, -2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 4*r - 14, 4*n + 12*r = 11*r - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvnfnfffvovvfhhivff. Give prob of sequence vhi.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**2 - 29*y + 11. What is j(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s**2 + 5*s + 3. Let u(a) = a**2 + 3*a**2 - 3*a**2 - 28*a + 29*a + 1. Determine -5*u(b) + x(b).\nAnswer: 3*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfrfwfcwgcrfcwcccwl. What is prob of sequence lgr?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -98, 30, 3, -5 in increasing order.\nAnswer: -98, -5, 0, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-9)*8*(-28)\/(-1792).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*b + 217959 = 937425. List the prime factors of b.\nAnswer: 2, 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*n - 25326, -600*r = -602*r + 2*n + 50658. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmlmmmumlmtmum. What is prob of sequence lmm?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 96761 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842117?\nAnswer: 53, 15889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + 26. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 513 (b) -1\/4 (c) -5 (d) -10\/1417\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 237 and 803667?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + r. Let v(b) = -b + 2*b**3 + 6*b**2 - 5*b - 4*b**3. Let y = 24 + -18. Calculate y*f(h) + v(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*42\/35*-5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(297\/(-12))*(-66)\/(-12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rggwgghrnrwnh. Give prob of sequence hrgr.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -48, -47, -46, -45, -44, -43?\n\"Answer: i - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 divided by 115.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1221*0.02.\nAnswer: -24.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1049\/15 - -70. Is 0 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -13 - (-148 - -138) - -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 12:16 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*m - 5*r, 0 = -3*m + 5*r + 1596 - 1617 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4385*i = -3707*i - 678 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-41 - (-7 + 16 + -20 - 7))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -943281, -1886565, -2829845, -3773115, -4716369, -5659601?\n\"Answer: o**3 - 4*o**2 - 943279*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + (-1 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i - 13. Let b be z(-11). Let f = 12 - b. Suppose 0 = 4*q - f*q. Solve -c + q*c + 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -4\/2517, -5, 0.2, -2.9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 859406.1 milligrams in micrograms?\nAnswer: 859406100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 t, and 1 a when four letters picked without replacement from {f: 6, j: 2, a: 2, e: 4, r: 1, t: 2}.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -446, -1826, -4114, -7304, -11390, -16366?\n\"Answer: v**3 - 460*v**2 - 7*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((1 + -4)\/(-33)). Let h be 1\/(-5) + v\/(-5). What is the highest common divisor of h and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 176*f - 13. Determine n(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 7 - 13 = 0. Let p be (6 + 70)*(-1 + 3\/u). Let b = 4 + p. Does 27 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.25 - -139.75. Let s = -17730313248 + 17730313106.00000107. Let i = c + s. Round i to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 46. Let m be w(-14). Which is greater: -62 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 185 + -180. Suppose -3*u - 34 = -4*x, 5*x - p*u - 45 = -0. Let g(n) = n**3 + 9*n**2 - 12*n - 15. Calculate the smallest common multiple of g(-10) and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7*(-2)\/((1 + 5 - 4)*1). Let b(a) = -2*a - 19. Calculate b(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 7*x**2 + x - 4. Let n be j(7). Differentiate -2 - 3 + n - 3*b**2 wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 3:18 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -283 + -0.11514321?\nAnswer: -283.11514321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + 76?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 246 = -262. Solve 0 = d*w + 21 - 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/1*352\/132\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Suppose -u + i - 2 = -2*u, -3*u - o*i + 8 = 0. Suppose -2*v - 10 = -2*n, -u*v - 10 = 4*n - 3*n. Solve -n = -4*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 2 - 9 + 6696*q.\nAnswer: 6696*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1313210 - -2?\nAnswer: -1313202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -5, 16004, -1, 0.05.\nAnswer: -5, -1, -1\/3, 0.05, 16004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 207 or 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/(-25))\/(((-3)\/15)\/((-24)\/72))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -71b (base 14) to base 10\nAnswer: -1397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 5:14 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 - 286*l - 1859. What is c(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 5. Let t = f + -6. Which is the nearest to 3? (a) t (b) 1\/3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/96 and -143\/72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.757 - 6.757. Which is the closest to -0.82? (a) 0.5 (b) 0 (c) j (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2*n + 12 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) - (sqrt(4) + 5*sqrt(4)*-1) - 1*sqrt(100))\/(((sqrt(72)*2 - sqrt(72))\/sqrt(4))\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2188 - 618. Let a = -283 + p. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 147 + 29)*(7 - 7 - 6*o)*(-2*o**4 + o**4 + 4*o**4).\nAnswer: 2574*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-2))*r**(-2\/5)\/r)\/(r**(-2\/7)\/(r**(5\/2)\/r)) assuming r is positive.\nAnswer: r**(167\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.2 (b) 15 (c) -12.4 (d) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*j + 6 = -110*j. Let p(y) = -23*y**2 + 17*y**2 - 11*y**j. Let v(i) = i. Calculate v(p(q)).\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.102513154 to two dps.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 9 - 3. Suppose -w*p = -p - 6. Let h(m) = -m**3 + 4*m**2 + 7*m - 6. Let x be h(5). Solve k + p = x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.269 * -0.7\nAnswer: -1.5883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 23*u. Let j(f) be the first derivative of -6*f**2 + 0*f**3 + 0*f**4 + 1\/20*f**5 - 4 + 0*f. Let n(r) be the second derivative of j(r). Give n(v(t)).\nAnswer: 1587*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19484 is divided by 1944?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1\/3, 5, 37\/2, -1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-40))\/((-2)\/4). Let p = 51 + -50.981. Let h = p + -4.019. What is the biggest value in h, n, 0.1, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-30))\/((-2)\/(-5949)*3). Let r = -66 - k. Let s be 12\/(-26)*1\/3. Which is the biggest value? (a) -2\/3 (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*6\/(-570))\/(88\/(-114532)).\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**2 + 23*o + 5. Let b(l) = l + 1. Calculate 6*b(i) - u(i).\nAnswer: -4*i**2 - 17*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*s - 0*s. Let r = -12.9 - -13. Let f = r + 3.9. Which is the third smallest value? (a) 1 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.997 - 0.003. Let a = m + -9. Let o = a + 41. Is o at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*c + 4*p - 2, 2*c - 2*p - 6 = 0. Let u be ((-2)\/c)\/((-5)\/20)*0. Solve -6 = 5*o - 6*m + 3*m, -o + 4*m - 8 = u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 2*u. Let y(w) = w**2 + w. Suppose -13*m = -81 + 29. Suppose -m*n = z - 8, 3*z + 13 = n + 6*z. Give n*r(d) + 2*y(d).\nAnswer: -d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Let r = -0.0195833 + -117.9804167. Which is the smallest value? (a) r (b) y (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 113992*o + 1937863. What is r(-17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.5*-0.5.\nAnswer: -10.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11930 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*-1*(-9)\/(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*i - 5*y + 110 = 56*i, -5*i - 3*y - 12 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x + 12 = 45*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20112020122210 (base 3) to base 7.\nAnswer: 41325612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -2\/5 (b) 4 (c) -1\/12 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*g + 150, -4*g = f + 29 + 64. Let m = 8 - f. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/7 + (1 - (-7739139)\/(-21)). Let m = i + 764530. Round m to the nearest ten thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 8*l - 1676 = 7*l, 2796 = 5*w + 3*l. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -424*(-6)\/(-144)*3 + 19.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/455 and -54\/5369?\nAnswer: 26845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 15*d**2 + 45*d - 27. Let x(u) = u**3 - 14*u**2 - 46*u + 27. Let a(z) = -2*m(z) - 3*x(z). Calculate the remainder when a(15) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 755282 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -56*v**2 + 38*v - 241. Let a be u(27). What is a rounded to the nearest one hundred?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icbmmmf. Give prob of picking 2 m and 1 f.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + 2*sqrt(114)*1)\/(sqrt(54)\/(sqrt(36) + sqrt(9))).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4504*a**2 - 2*a - 23. Let k(o) = o**2. Determine w(k(p)).\nAnswer: -4504*p**4 - 2*p**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -1224?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.3. Let r = -2\/55 - -63\/220. What is the closest to -1\/3 in r, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 - 33 + 150 - 40 + 10*p**2 + 21*p - 39 - 40 in the form t*p + w*p**2 + i + c*p**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 217 + -216. Let r = 16 + -50. Let z be h\/2 + (-33659983)\/r. Round z to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 - 1533318?\nAnswer: -1533473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -50, -2, 2.\nAnswer: -50, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 58 + 21493?\nAnswer: 2151b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 870, 1552, 1964, 1968, 1426?\n\"Answer: -23*l**3 + 3*l**2 + 834*l + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g + 3 = 0. Let i = 6 - 3. Suppose a - i*a - 4 = 0. Put g, 1, a in descending order.\nAnswer: 1, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d - 7*d - 6*d + 6*d to b + w*d and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -0*k - k. Suppose 4*a - k = g, 2*g = -3*a - 1 - 1. Suppose 3*w + a*w = 0. Solve 0 = -5*q - 3*p + 19, 3*p = 3*q - w + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 682\/39312 + (-119)\/((-1364454)\/(-252))?\nAnswer: -1\/216","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.49, -2, -3\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38611 is divided by 348.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300 and 4380?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.3, 1, -1008, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -1295*x**2 + 41 - 6*x + 24 + 1094*x**2 + 122. Let v(h) = -402*h**2 - 10*h + 376. Let j(n) = 5*p(n) - 3*v(n). Differentiate j(u) with respect to u.\nAnswer: 402*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o**3 + 5*o**2 + 3. Let n(v) = 3*v**3 - 2*v**2 - 2. Let p be -7*-6*(-2)\/42. Let g(w) = p*f(w) - 5*n(w). Differentiate g(m) with respect to m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57014628 is divided by 11402924?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -832*z - 245*z - 47*z = 107904 for z.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3247166.7728646497863 + -0.8671495502137. Let z = s - -3247167. Let f = z + 0.64. Round f to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33025, 32966, 32867, 32728, 32549, 32330, 32071?\n\"Answer: -20*i**2 + i + 33044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/21)\/(-3))\/(6\/(-14)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 8*k - 11. Give h(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -295 + 0*y**2 + 39*y**2 + 255 + 13*y**2 with respect to y.\nAnswer: 104*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 8:33 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -1) + (-28 - -20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 + 39 = -3*p. Solve 3*z - 5*d - 7 = 0, -2*z + p = 3*z + 3*d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 70, 25, -24, -2, 1 in increasing order.\nAnswer: -24, -3, -2, 1, 25, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 20.9. Let p be (40\/(-15))\/(2 + -3). Which is the third biggest value? (a) p (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9678.083um?\nAnswer: 0.000009678083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a kilometer?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 bigger than 2\/579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 954241.4kg to grams.\nAnswer: 954241400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9, -12, -43, -90, -159, -256?\n\"Answer: -y**3 + y**2 - 17*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 5:24 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -128 + 127.735. Let w = j + 0.31. Round w to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2297.\nAnswer: 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 6:34 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-8 - 1) - 2 - (-17 + 9 - -19).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 0. What is the third derivative of -2*f**2 - 3*f**6 + p*f**2 + 5*f**6 + f**6 wrt f?\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b49b - 3?\nAnswer: -1b49e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 12*t**3 - 3*t + 4. Let i(g) = g**3 - g - 1. Let r(c) = -3*i(c) + j(c). Find the first derivative of r(m) wrt m.\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22260?\nAnswer: 2, 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3404.\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -28. What are the prime factors of -4 + (42 - v) + 4?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18999678.7 rounded to the nearest 10000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01951219143 rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -1 + 3 - 3 + 2*x**2. Let j(t) = -70 + 70 + t. Give f(j(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -s - 3*s + 10, -2 = -x + 2*s. What is the third derivative of z**6 - 2*z**3 - z**2 - 3*z**6 + x*z**3 wrt z?\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 68 = -103 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25\/(-5*5\/(-25)). Let d = -22 + o. Solve 17 - 2 = -d*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036 a factor of 13861651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 0*a + 0*a)*(-15 + 59 + 68)*(2*a**3 + 8*a - 8*a).\nAnswer: -672*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2699486659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 10:05 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33012?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 28 = -3*v. Let t(o) = -o**3 - 7*o**2 - 5*o + 3. Let h be t(-6). Sort 4, h, v in ascending order.\nAnswer: v, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k**2 + 0*k**2 - k**2)*(84*k - 222*k + 92*k) to the form b*k + x*k**2 + a + n*k**3 and give n.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.86928 weeks to days.\nAnswer: 223.08496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 9335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-63) - 2704\/273.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r. Give k(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -279519807*t - 182490086 wrt t?\nAnswer: -279519807","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8482?\nAnswer: 2, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 9) + -10 + 8 + 25 + -13 + -11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (138\/(-4))\/(15\/(-20)) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2954*y - 11 + 2939*y - 5886*y + 2 - y**2 as j*y + w*y**2 + u and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, y: 1, m: 2, l: 1}. What is prob of sequence myml?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 415, 1470, 4073, 8998, 17019, 28910, 45445, 67398?\nAnswer: 95543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, b: 8, r: 4, q: 2}. Give prob of sequence bqp.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*i**3*v**3 - 1891163*i**3*v - i**2*v**3 - 14*i**2 + 147*i - 3255*v + 1 wrt i.\nAnswer: -330*v**3 - 11346978*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**2 - 8*r + 116*r**3 - 229*r**3 + 112*r**3 + r to the form j*r**3 + t*r**2 + x*r + s and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 2717*w - 2718*w - 11, -2*y - 4*w = 38 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15949881 to the power of 1\/2, to the nearest integer?\nAnswer: 3994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68459033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 327 - 326. Put f, -0.04, -1, 2\/7 in decreasing order.\nAnswer: f, 2\/7, -0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 317209, 2537625, 8564473, 20300971, 39650337, 68515789, 108800545?\nAnswer: 162407823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*k**2 + 259*k**2 - 1302*k**2 + 369*k**2 + 270*k**2.\nAnswer: -205*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/1019827 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2247 - 1349. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 14847560?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128\/7*c**3 - 236\/7*c**2 - 4*c**4 + 190\/7*c - 8 + 2\/7*c**5 = 0 for c.\nAnswer: 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-118)\/(-24) + (-210)\/(-2520)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13795766, 5 in decreasing order.\nAnswer: 5, -2, -13795766","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 19\/5 + 1\/5. Let b be (27\/(-21) - -3)*-7. Let g be p*(-2)\/b*3. Is g at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*u - 5. Let m = u - -55. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 30, 243422, -8, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33141359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(396) + 0 + sqrt(396)))**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -258 - -1804\/7. What is the nearest to 0.1 in -1, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrp when three letters picked without replacement from {w: 1, x: 1, r: 1, p: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21352572 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/10)\/(2\/4). Let i = 0.18 + 2.82. Let j = -413\/5 - -83. Which is the nearest to t? (a) 2 (b) j (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -8*h + 17. Let z be u(-1). Solve 5*o = -4*f + z, 5*f - 22 = f - 2*o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2. Let y be k(-1). Let d = y + 0. Let i(a) = 34*a**2 + 2*a - 1. Is i(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 0.3. Let w = 21.88 + -3.18. Let r = -16.7 + w. What is the third smallest value in 5, r, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 26754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 113657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -347.45065345 + 0.45113505. Let c = q - -347. Round c to 5 decimal places.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 10*r**2 + 24*r - 23. Suppose 5*t - 163 = -128. Let j be f(t). Sort 3, 6, j in ascending order.\nAnswer: j, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3887001608 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 780 = 12*h. Let t = -74 - h. Suppose -x = -t*x + 123. Calculate the remainder when x is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1632, 185, 3 in descending order.\nAnswer: 1632, 185, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-15)\/p**(4\/9)*p**9*p**14*p*p*p assuming p is positive.\nAnswer: p**(95\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -395*p**4 - 2*p**2 - 25*p - 45893.\nAnswer: -1580*p**3 - 4*p - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 4*n + 2 = 6*f, 4*n - 16 = -4*f. What are the prime factors of 1 + 124\/f - (-125)\/(-75)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 7 (c) 5 (d) 348 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/8884790 and 111\/730.\nAnswer: 648589670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49753 and 335951.\nAnswer: 1519506373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -3. Let t = -0.5 - 0.2. Let l = -0.6 - t. Which is greater: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-55317.\nAnswer: -165951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-135)\/(-50))\/(-9))\/(243\/675)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377124 < 1377138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4*(-4 + sqrt(448)))**2.\nAnswer: -1280*sqrt(7) + 7568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2*s**2*t + i**2*s*t + 5*i**2*s - i**2*t - 6*i*s**2 + 2*i*s*t + 35*s**2*t + 17443*s**2 + 2*s*t - 16*s + 2658*t wrt s?\nAnswer: 4*i**2*t - 12*i + 70*t + 34886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-3 + -1)*1. Suppose 2*q + h - 2*h + 199 = x, 0 = -5*q - 3*h - 503. Let j = q - -186. What are the prime factors of j?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5460)\/2210 - 8\/(-17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 j, 1 v, and 1 i when four letters picked without replacement from jnvnniviijinjijivii?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -292, -586, -880, -1174, -1468?\n\"Answer: -294*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(208)*-2 + sqrt(208) + sqrt(208) + -4 + -2 + sqrt(104)\/sqrt(8) + -5)**2.\nAnswer: -670 + 110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 7*n + 5*n - n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from tttrrdqrtdqtq.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1704*l**2 - l**3 + 1770*l**2 - 13 - 3584*l**2 in the form v*l**2 + k*l**3 + g*l + t and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 816.28?\nAnswer: 816.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 736 - -1970. Let s = 766 - q. Round s to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 6*s + 8*s = -14, f + 20 = 2*f - 4*s for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (61\/183)\/(((-1)\/(-27))\/1). Solve -20 = -x*i + 13*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4 - 3 + t**3 + 0*t**3 + 3*t**2 + t. Let z be -3 - (-3)\/(2 - -1). Let a be l(z). Solve -3 = -2*x + x + 2*v, 0 = a*x - 5*v - 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 636400 and 444000?\nAnswer: 19092000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*a = -3*k - 101*a - 29, -12 = -3*a. Suppose -8*r - 12 = -5*r. Put -2, k, r, -1 in decreasing order.\nAnswer: -1, -2, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1644 divide 114404864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a**3\/7 + 15*a**2 - 114*a\/7 - 24\/7 = 0. What is a?\nAnswer: -4, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3403, 13654, 30751, 54688, 85459, 123058?\nAnswer: 167479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -q + 18. Suppose -16*w - 574 = 2050. Let m = 180 + w. Solve -i = 3*k + m, 5*k + i + q = 2*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 - 11 + 17*g + 14*g - 41*g + 20*g. Let m be i(2). Calculate the highest common divisor of 63 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 32*h**2 + 0*h - 2*h.\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 3667?\nAnswer: -3670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -145, -287, -429?\n\"Answer: -142*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -275486, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + 2 - (-91 + 140)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 7 - 5 - 3 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 1128.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pepeppeeeee. Give prob of picking 2 e and 2 p.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50 and 5.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 15 = 3. Suppose 2*b - 2*x - 310 = -0*x, -15 = r*x. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*z**3 + 59*z**3 - 29*z**3)*(0 - 1 + 0)*(z + 0 + 0).\nAnswer: -13*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5665 and 275331360.\nAnswer: 3028644960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 0 - -1*20. Suppose -t = -6*l + 5*l. What is the least common multiple of 20 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609246.8 decades in years?\nAnswer: 6092468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.480043 - 14651\nAnswer: -14650.519957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -223*r**3 + 52*r**2 + 13*r - 5. Let x(j) = -56*j**3 + 12*j**2 + 3*j - 1. What is -3*s(b) + 13*x(b)?\nAnswer: -59*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 x when three letters picked without replacement from bxbjjxbjjjjfqjwwbx.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 341 (base 9) to base 8\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 9) to base 5.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6026455693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (-21)\/15)*5. Suppose 5*u = h*q + 5, 4*q = u - 2*u + 45. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k**2 + 85*k - 335. What is w(7)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -214*i**2*t**4 - 76*i**2*t**3 - 7*i**2*t + i**2 - i*t + 7*i + 5*t - 664 wrt t?\nAnswer: -2568*i**2*t**2 - 456*i**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 119, 237, 355, 473, 591?\n\"Answer: 118*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/8993 and -29\/372416.\nAnswer: 6331072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 689a958b - 5?\nAnswer: 689a9586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.123 less than 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -295, -302, -319, -352, -407, -490, -607?\nAnswer: -764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 184\/(-6)*11502\/24*-2*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*o + 695 - 7273. Let r = -102 - o. What are the prime factors of r?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 62, 2, -78, 3 in ascending order.\nAnswer: -78, -4, 2, 3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v + 11. Suppose 87 = v*k - 1. Solve 0 = -2*a - 2*a + k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -38*u**3 - 204*u**2 - 220*u - 2. Give a(-4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3604052234 and 64.\nAnswer: -3604052170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -16*t - 41. What is p(-10)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times 11609?\nAnswer: -150917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - 12*q**2 - 18*q + 10. Let o(f) = 2*f**3 + 12*f**2 + 18*f - 8. Let s(r) = -4*j(r) - 5*o(r). Determine h, given that s(h) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1540*i + 172481. Calculate f(112).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1105003 to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-6*-3*sqrt(95)*-4*-6)\/(-3*(sqrt(180) - (sqrt(180) - -2*-1*sqrt(180)))))**2.\nAnswer: 2739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 1. Let m = -190 + 189. Let j = -99 + 1585\/16. Which is the nearest to m? (a) x (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*j + 9543 = -11623, -d + 10581 = -4*j. What is the thousands digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**2 - 360*p = 0.\nAnswer: -72, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 5:09 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 * 34\nAnswer: 95.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.1 - -2.8. Suppose -9*j - 35 = -4*j. Which is the fourth smallest value? (a) -0.5 (b) -0.1 (c) l (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/5 - r**2\/5 - r\/5 + 1\/5.\nAnswer: (r - 1)**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6062213.\nAnswer: 6062213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -52. Let w be -1*(-181)\/(-1)*u*-1. Suppose 2*k - 571 = w. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1*-1)\/((-113)\/(-452)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -10*m**2 + 16*m + 45. Calculate z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vayaxsaayarvvvvv. Give prob of sequence vr.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -16*z - 1. Let h(a) = -31*a - 2. Let j(o) = 6*h(o) - 13*v(o). Is j(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45*y + 2 + y**2 - 1 + y**3 + 44*y)*(-3*y - 3*y + 5*y) in the form q + a*y**2 + w*y**3 + g*y**4 + r*y and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36265195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -52 - (-63 + -5).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001169022 to 7 dps.\nAnswer: 0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -189*p**2 + 5103*p - 3. What is w(27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 51 = -5. Suppose -3*h + w = h. Suppose -2*b + 16 = -3*o, -3*b + o + o = -h. Solve -2*p + 9 = -g - p, -3*g = -b*p + 22 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2\/17, -58077?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. Suppose q*m - 11 = -l, 6*l - 44 = 2*l + 5*m. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 122 - -111?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**4 + 326*o**3\/3 + 3453*o**2 + 26264*o + 48020\/3 = 0.\nAnswer: -49, -10, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**2\/2 + 12*y - 9. What is r(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 15*g + 73. Let s = -206 - -203. Calculate the lowest common multiple of 20 and w(s).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (141\/21 - (-16)\/56)*(0 + -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12096\/7672)\/(-54)*(-3)\/6?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 2*d - 17, -7*p + 9*p - 8 = 2*d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -410308*c**3 + 410312*c**3 + 20 + 36 in the form b*c + k*c**2 + v + r*c**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 3, -78, -6\/139?\nAnswer: -6\/139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119 (base 11) to base 8.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 5 + 5. Let x be 2\/(-4)*p*8\/(-4). Suppose -2*n = -5*n + o + 315, -x*n = -o - 523. Is 26 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6 = -6. Let g(j) = j**3 + 7*j**2 + 3. Let z be g(-7). Let q be n + 1*(-1 + z). Solve 0 = -o + 5*o - p - 15, -q*p + 5 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (0 - 2) + 4 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3))**(-2\/119)\/(((u*u**3)\/u)\/(u\/(u*u**(5\/3)))))\/((u\/(u*u**(-4\/5))*u\/(u*u**2)*u)\/(u\/u**(-6)*u*u**(-1\/4))) assuming u is positive.\nAnswer: u**(7801\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k. Let j(i) = -i**2 + i + 63. Determine j(h(a)).\nAnswer: -a**2 - a + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -19 - (-4 - -3)) + -113 + 18?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-4 + -5 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 190 and 1520?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 37403.11nm?\nAnswer: 0.003740311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 2*d + 25. Suppose -2*t = -c - 5, -d*t + 10*t + c = 2. Suppose j - t = y - 3, 0 = 3*j + 3*y - 12. Which is smaller: j or 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a + 6*a + 10*a - 13*a - 2*a. Let q(l) = l**2 + 3*l + 1. Suppose -5*p = -0 - 10, p - 6 = 4*w. Determine w*q(n) - x(n).\nAnswer: -n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 16\/3*i**3 + 23 - 42*i**2 + 20*i. Find c, given that d(c) = 0.\nAnswer: 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/10)\/(8\/20). Suppose 89 - 8 = y*t. Let o = 10 + t. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -f - 9. Calculate the greatest common factor of 16 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**4\/12 + 3*w**3\/2 - 35*w**2 + 141*w. What is the derivative of k(i) wrt i?\nAnswer: 2*i + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 3*v - 15, 255*w - 257*w - 4 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -81*n**2 - 73*n + 6. Let c(i) = 80*i**2 + 73*i - 5. Let f(y) = 6*c(y) + 5*x(y). Find the second derivative of f(k) wrt k.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 29. Let l be 1*15\/((-6)\/b). Let a be -1*1*0 - -12. Solve l*u = u + a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(7) - (sqrt(175) - (sqrt(175) - (sqrt(175) + 0)))**2).\nAnswer: -170 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17088622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-24)\/8 + (-1175)\/(-1) + 2 is divided by 374?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 5 (b) 3 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 4, z: 5, b: 4, h: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:58 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -290*r - 14167. What is s(-49)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 - (-155)\/25)*45\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 14. Let k = 17.7 + -2.7. Let r = k - 14. What is the closest to z in -2\/5, 0.2, r?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 54099009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 291\/10001, 4 in ascending order.\nAnswer: -0.5, 291\/10001, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 0, -22, -0.01, 5, 3\/22, 0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 5. Let v be (-14)\/(-4) - d\/(-2). Suppose v*w = -3*w + 15. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/112554 and 25\/36556.\nAnswer: 4277052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7368 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 12*h. Let j(s) = 189*s - 1533. Give j(i(r)).\nAnswer: -756*r**2 - 2268*r - 1533","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 j, and 1 r when four letters picked without replacement from kpjrk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13072.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/2296 and 51\/12874?\nAnswer: 360472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.04 - 0.04. Let d = f - 10.9. Which is the closest to d? (a) -2\/17 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2985 or -83992?\nAnswer: -2985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 7)\/(1 + 0). Let d(v) = v**2 + 8*v - 1. Let f be d(k). Let t(b) = -7*b**3 - 1. Calculate t(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3486146381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.6 - -7. Let u = -0.6 + 0.3. What is the closest to 0.1 in u, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 1:09 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 154*f - 83. Let m(y) be the third derivative of 31\/24*y**4 + 0*y - 19*y**f + 0 - 11\/6*y**3. Differentiate m(j) wrt j.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 321 - 319. Let y = 73\/9 - 8. Which is the nearest to 1? (a) y (b) h (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*366\/(-1320) + (-140)\/(-44) + -3?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 16*p + 14. Let x be a(14). Suppose 0 = -5*t - 3*r + 125, t - x = -3*r - r. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, o: 5, e: 4}. Give prob of sequence io.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -3*h**4\/4 + 44*h. Let a(j) = -8*j. Give a(i(l)).\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 141 and 21573.\nAnswer: 21573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -1, 30?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 48 = -j. Calculate the remainder when 20 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 136 = -21*c + 16*c, -52 = -2*c - o. Suppose 0*m = 4*m - 4. What is the remainder when (-1)\/((-2)\/106) + m is divided by c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4 - 0. Let j be -1 - -2 - q\/4. Is j != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b - 8*b - 23*b - 5*b - 14*b.\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 142\/(-13) + ((3 - -1) + 4 - (-99 + 97))?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1975*d**3 + 27*d**2 - 6912*d. Let j(l) = -3948*l**3 + 63*l**2 - 13825*l. Let i(g) = 3*j(g) - 7*z(g). Find the second derivative of i(r) wrt r.\nAnswer: 11886*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 0*k**4 + 1\/75*k**6 - 2\/25*k**5 + 22*k + 0*k**3 + 0 + 0*k**2. Factor u(g).\nAnswer: 2*g**3*(g - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akg when three letters picked without replacement from kgkdadws.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 158.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60389, -241587, -543593, -966407?\nAnswer: -1510029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 6144 = 12*u. Suppose 0 = 10*p - 652 - u. What are the prime factors of p?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - y**2 - y**3)*(2*y**2 + 3 - 3) + y**3 + 0*y**3 + 3324*y**5 - 3342*y**5.\nAnswer: -20*y**5 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 10*c**3 - 52*c**2 - 14*c + 81. Calculate m(5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198960 and 960?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/198*32\/(-80)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 70*t**2 + 38*t - 36.\nAnswer: -2*(t - 18)*(t + 1)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 - 53. Suppose u + 2*u - g*w = 4, 5*u + w = 22. Suppose i + u*k = 354, 2*i + k - 402 - 299 = 0. What is i rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -3 - (-17 - -15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.3+106.57749856\nAnswer: 105.27749856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1356394*x - 3. Let j be g(3). Suppose -2*w - 7269183 = -n, 5*w = -0*n - 4*n + 29076706. Let k = j - n. What is k rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.693 from -0.3.\nAnswer: 1.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150 - 145. Suppose -d - q = -4*i, 5*d - 80 - 15 = -4*i. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 - c + 93. What is t(13)?\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l - 19. Suppose -6*k = -k + 15. Let s = k + -4. Let f be t(s). What is the biggest value in 2\/21, f, -5\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 14*r - 15 = 0. Let c = -1.9 + 2. What is the second smallest value in c, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**2 - 898*o + 28093. Determine m(-252).\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) - 145\/(-4). Calculate the common denominator of 43\/16 and (651\/b - 4) + -3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1)*n*n\/((n*n**(1\/14)*n)\/n))**44 assuming n is positive.\nAnswer: n**(286\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -1\/150*y**6 + 2*y + 0*y**3 + 1\/420*y**7 + 106 + 0*y**2 + 1\/60*y**4 - 1\/200*y**5. What is f in g(f) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 36764\nAnswer: -477932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29583, 29041, 28499, 27957, 27415, 26873?\n\"Answer: -542*o + 30125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(605)*-5 - (sqrt(5) + sqrt(10)\/sqrt(2)*2)).\nAnswer: -58*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6559 divided by 110\nAnswer: 6559\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/5 + 732\/30. Calculate the greatest common divisor of 36 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a61 (base 14) to base 13.\nAnswer: -c230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b - 12*b + 72 = 0. Suppose 8*j - o - 1265 = 5*j, -4*j + b*o = -1695. List the prime factors of j.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**2 - 64*t - 434. Give l(-32).\nAnswer: -1458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/21)\/(1*7\/(-49))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16134441*k**2 + 2*k**3 - 16134441*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -304 - -301. Put -5, 26, 1\/2, c in decreasing order.\nAnswer: 26, 1\/2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556*j + 3451 = -663 - 334 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 14. Let l(t) be the first derivative of -m + 26*t**2 - 18*t**2 + 4*t**2. Let z(s) = 2*s. What is z(l(x))?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64535*p**6 - 99485*p**2 wrt p.\nAnswer: -7744200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1007434 + 3?\nAnswer: 1007437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1243678533.\nAnswer: 3, 197, 2104363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 207 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*v**3*x + 2*v**3 + 3*v**2*x + 22511394*v**2 + 4*v*x - 545001*x wrt x.\nAnswer: 2*v**3 + 3*v**2 + 4*v - 545001","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 8:33 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1*-28570\nAnswer: 28570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)\/y)**(4\/11)*y**(-1)*y**(-1\/14) assuming y is positive.\nAnswer: y**(-389\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 19*a + 71. Suppose 46*q = -4*w + 43*q - 25, 0 = -2*w + 4*q - 18. Determine m(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10072 = 156*u - 152*u. What is the remainder when u is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20320860 divided by 140\nAnswer: 145149","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -989*i**5\/60 + 4*i**2 + 61. Let a(n) = -n. What is a(w(x))?\nAnswer: 989*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/4)\/(((g**(-35)\/g*g)\/g*g)\/g) assuming g is positive.\nAnswer: g**(143\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115808?\nAnswer: 2, 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 69*l - 62. What is m(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25\/2 + 14. Let g = 104.1 - 104. What is the second biggest value in -2\/11, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-5) + (-2201)\/(-5) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -175 + 187. Suppose -3*r - c = -3*i, 3*r + 5*i - 8 = 2*r. Put -4, r, -3 in ascending order.\nAnswer: -4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 12. Suppose -4*z = z + 110. Let p = -16 - z. What is the highest common divisor of j and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 15565145?\nAnswer: 15565144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2041.\nAnswer: 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 - 2*z**4 - z**4 - 3*z**4 - 4*z + 4*z + (-1 + 1 + z)*(0*z**3 - 2*z**3 + 0*z**3).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 40*b + 1. Let q be i(4). Suppose 0 = -88*a + 79*a - 630. Let j = q + a. What is the greatest common factor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 8*k**2 - 14*k - 12. Calculate u(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 8 = 5*n - 63, a = n - 5. Suppose 2*s = -s + 66. Calculate the remainder when s is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 579, -770, -2119, -3468, -4817?\nAnswer: -6166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 165831282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 4 - 4)*(r - 5*r + 5*r)*(-17 + 10 + 28)*(-2 + 0 + 4)*(-3 + 0 + 4).\nAnswer: -840*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-21) + (-18)\/(-14). Suppose 4*b + 0*b = 68. Let f = -12 + b. Let d(x) = 2*x + 5. Let i(t) = -t - 1. What is f*i(h) + z*d(h)?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1025, -4060, -9119, -16202, -25309?\n\"Answer: -1012*j**2 + j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 3*k - 7, 0*k + 3*k + 21 = -219*q + 216*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 26*o**6\/15 + 3*o**5\/20 - o**4\/12 + 7*o**3\/3 - 127*o. Find the third derivative of r(s) wrt s.\nAnswer: 1248*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64\/9 in -7, -1\/14, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3542418.6 rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**8\/560 - 5*p**4\/24 + 4*p**3\/3 - 1. Let s(v) be the third derivative of y(v). What is the first derivative of s(g) wrt g?\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, i: 2, q: 1, g: 1}. Give prob of sequence iig.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1865291?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(v**4 + 2*v**4 + 0*v**4) + 5*v**4 - 6 + 6.\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 6*h + 4. Let k(j) = j - 11. Let z be k(5). Let g be l(z). Suppose 5*x = -g*m + m + 64, -4*x = m - 54. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*x = -0*w + 8, -5*w = -2*x + 7. Let i = -6 + -20. Let o be ((-1)\/8)\/(1\/(-2)). Which is the third smallest value? (a) w (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1606887 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.7219733 rounded to three dps?\nAnswer: 10.722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*l = -206*l - 3800. Suppose 5*x + 25 = 0, -4*z - 2*x + 3014 = -l. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1455, 2925, 4395, 5865?\n\"Answer: 1470*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 828 = 5*o - l, 0 = 9*l + 10 + 17. Solve 0 = -3*n + 153 - o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*y - 41 + 14*y - 14*y**5 - 4*y wrt y.\nAnswer: -280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 24 + 0 = 0. Let t = 23 - k. Let o = t + 14. Calculate the remainder when o is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1241120 + 422?\nAnswer: -1240365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 0)*(-5*i**2 + 53*i**2 - 16*i**2) + 0*i**2 - 3*i**2 + i**2 + (-i**2 - 3*i**2 + 0*i**2)*(5 - 3 - 3).\nAnswer: -158*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 332*l**2 + 1 - 54*l**2 + 3*l + 90*l**2 as u*l**2 + y*l + f and give u.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 8:13 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114 and 8499?\nAnswer: 322962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73\/10 in -5, 0, -0.13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 0 - 5*u + 6*u + 0. Let i(b) = -2*b**2 + 6*b**2 - 2*b**2. Give i(q(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851888 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*v + 5*i, -4*v + i = v + 22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1495 + 13339\/9. Let l = k - -1294\/99. Sort l, -4, -5 in ascending order.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 12. Let v be c(-11). Let i = 4 - v. Solve -4*h - 3*f = 24, i*f + 9 = -0*h + h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 - -695\/9. Sort -1, 2\/7, d in ascending order.\nAnswer: -1, d, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 5*p**3 - 2 + 4*p**3 - 3302*p**2 + 3301*p**2)*(1 - 3 + 3)*(-p + 5 - 5).\nAnswer: -9*p**4 + p**3 + 4*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 23*i**2 - 20*i - 43. Calculate v(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3036, -3024, -3012, -3000?\nAnswer: -2988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3881 divided by -1\nAnswer: -3881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyqbbxb. What is prob of picking 3 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-15)*i**(-13) assuming i is positive.\nAnswer: i**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043 a factor of 24511543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -60214338*m**4\/5 - 28883568*m**3 - 110581964*m**2\/5 - 5753552*m - 2389298\/5 = 0. Calculate m.\nAnswer: -1, -1093\/5487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -13*v + 5. Let w(m) = -4*m + 2. Let f be 26\/(-3) + (-8)\/(-12). Let y(r) = f*w(r) + 3*n(r). Differentiate y(p) wrt p.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-16)\/6 - -3). What is the derivative of -11*y**r - 16 - 1 + 28*y**3 wrt y?\nAnswer: 51*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*c + 82*c - 41*c - 780*c**2 + 4845*c**2 to v*c + w + m*c**2 and give m.\nAnswer: 4065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 2)\/(-4 + 6 - 4). Sort 6, -5, b in decreasing order.\nAnswer: 6, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -43*1*(-7 - -4 - 10). Let w = -389 + v. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 1. Let o be j(4). Let i = 5767 + -5762. Suppose 2*m + 3 = m + i*x, o*x + 22 = 4*m. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -819292 at least as big as -819292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (286\/11)\/(-13)*5\/45?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1070628 and 20?\nAnswer: 5353140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -45 - (-3 + 0).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 29, 69, 133, 227, 357, 529?\nAnswer: 749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-616)\/(-33) + (-4)\/6. Let h be c\/(-5) - 2\/5. What is the units digit of (42\/h)\/((-5)\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 6*a**2 + a + 8. Let l be q(-6). Let m = -4 + l. Which is bigger: -5\/2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**7\/630 - k**6\/60 + k**5\/15 - k**4\/9 + 7*k**2. Find v such that x(v) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**3\/2 - s**2\/2 + 57*s. Determine l(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/5 + 2*q**4 - 6*q**3\/5 - 2*q**2 + 8*q\/5 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -884 times -20?\nAnswer: 17680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert b29 (base 13) to base 8.\nAnswer: 3546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 64110000 to the nearest one million.\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/488562 and 52\/18849.\nAnswer: 3069635046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 135461 + -101?\nAnswer: 135360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 252098432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -5, -2, 11, 5, 2 in increasing order.\nAnswer: -5, -2, 2, 5, 11, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 141\/24 - 6\/(-48) - (30 - 6)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -202 + (88 + -113 - -130)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -6*h + 3*h, 3*i - 4*h = -1. Put i, 3, 1, -4 in ascending order.\nAnswer: -4, i, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**3 + 9*s**2 - 5*s - 9. Let m(l) = 4*l - 6*l**3 + 1 + 4*l**2 - 6*l + 3*l**3 - 5. Give -4*b(y) + 9*m(y).\nAnswer: -3*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 - 8*w. Let t be s(-4). Let u = -6 - -8. Solve 3*h - u*h - 4 = t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15109882 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-1 - -2) - (-35 + 28).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 13*v - 13. Let j be p(-9). Suppose -3*w - 213 = -8*w + x, 170 = 4*w - x. Let u = w - j. What is the greatest common factor of u and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/7)\/((175\/735)\/(55\/132))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139063 to the power of 1\/2, to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16\/(-24))\/((-103298)\/(-103302) - 1)?\nAnswer: 3, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 6:12 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -24. What is the highest common factor of 22 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0084 and -897.\nAnswer: 7.5348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/7, -175.\nAnswer: -175, -3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 55. What is the greatest common divisor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -83.\nAnswer: 5\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 145 + 4. Let j = 77 + g. What are the prime factors of j?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**5 + 13*r**4 - r**3 - 8*r**2 - 5*r. Let h(p) = -p**5 - 7*p**4 + p**3 + 4*p**2 + 3*p. Let m(v) = 10*h(v) + 6*l(v). Suppose m(k) = 0. Calculate k.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) 0.04 (c) -0.9 (d) -11 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3816\/(-1254) + 21*(-44)\/(-2926)?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -3 + 14 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 367\/157348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -12. Let v(h) = 33 + h + 65 - 24 - h**2 + 2*h**2. Is v(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000112122100 (base 3) in base 5?\nAnswer: -233323211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i - 6 = -26*i. Let v(p) be the second derivative of 0*p**4 + 0 - 1\/60*p**5 + 3*p + 1\/18*p**3 + 0*p**i. Solve v(c) = 0 for c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -5*h + 25, 247*h - 5*n + 25 = 252*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.4 + 5.4. Let d be (-6 + 6 - 1) + 30\/18. Sort 3\/2, u, d, 5 in descending order.\nAnswer: 5, 3\/2, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x. Let v(q) = -5 - 4*q + 2 + 3. What is v(n(z))?\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d = d - 215 - 217 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 - 6) + 16\/1. Suppose 9 = -26*s + l*s. Which is the nearest to s? (a) -4 (b) 2\/17 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -265 + 124. Let t = 141.67 + z. Round t to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*d - 65 = -391*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 127780?\nAnswer: 255560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1364 - -2461. Suppose b = 45*r - 343. Let m(x) = x + 1. Let g be m(3). What is the greatest common factor of r and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44401 - -5?\nAnswer: 44410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -4*g**3\/9 - 12*g**2 - 34. Solve t(j) = 0 for j.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 332, 508, 686, 866, 1048?\nAnswer: 1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccchchccc. What is prob of sequence hc?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 6*b**2 - 8*b + 2. Let p be t(3). Suppose p*l - 36 = 4*q - 0, -3*l - 8 = 5*q. What are the prime factors of (190 - l)*3\/3?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7456119 + -2\nAnswer: -7456121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 0 - 4) + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1696, -3319, -4874, -6361, -7780, -9131, -10414?\n\"Answer: 34*b**2 - 1725*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from qlqqqqqlqqqqlqq?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95082 and 25599.\nAnswer: 665574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7532 and 25977?\nAnswer: 27951252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 14*f**3 + 8*f**2 + 4*f + 4. Let r(b) = 14*b**3 + 9*b**2 + 5*b + 5. Let i(y) = -4*r(y) + 5*t(y). What is the third derivative of i(w) wrt w?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 828427 and 828424 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*q**3 - 10*q**3 + 9*q**3.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36459\/28 + 1306. What is the common denominator of 77\/72 and s?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7025 - -189602\/27. Calculate the common denominator of y and -19\/33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16759100 greater than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 + -102001022200?\nAnswer: -102001022013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 18*j - 3*m - 942905 = 0, -5*m + 471485 = j. Suppose -j = -21*w + 1445840. Round w to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 0 - 2*s + 9*s + s**3 + 240*s**2 - 246*s**2 + 2. Calculate j(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -33?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8835.3l to millilitres.\nAnswer: 8835300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -36*x. Let v be 12\/(-18) + 1\/(-3). Let z be i(v). Suppose -5*a = -8*a + z. Calculate the smallest common multiple of a and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 16*d**2 + 17*d + 3. Let s be q(17). Let g(k) be the second derivative of k**2 + 0 - 1\/6*k**4 + k - 1\/3*k**s + 1\/10*k**5. Factor g(t).\nAnswer: 2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 250 - 2?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033174715 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46166 + 46157.7. Let w = 0.4 + -0.1. Which is greater: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(76) + 3 - (-3 + sqrt(76) + sqrt(76)*3 + sqrt(76)))*-2.\nAnswer: -20 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 0*q + 2\/3*q**3 - 2 + 0*q**2. Let k(f) = 4*f. Give k(j(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69.31 - -69. Let g = -0.262446 + -0.047552. Let x = g - z. What is x rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 24. Let h(x) = 4*x**2. Give y(h(q)).\nAnswer: 8*q**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5\/5 - 733*a**4\/10 + 20329*a**3\/10 + 132233*a**2\/10 + 50413*a\/10 - 6076 = 0 for a.\nAnswer: -392, -5, -1, 1\/2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1697, 0.4, -3, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 8*l + 22 = 0. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 k, and 1 e when three letters picked without replacement from ebbbeikkbzebuizu.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 234?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 9, 0.2, 2, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -22.7, -3.3, -3, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005537 rounded to 4 decimal places?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -98*n**3\/9 + 14*n**2\/3 - 2*n\/3 - 2. Find w, given that f(w) = 0.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 44 = 64. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.9997583 to 1 decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 13*o**2 - 12*o + 33. Let j be b(-14). Suppose 4*q = j*z - 160, 3*z - q - 103 = -0*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 104, -1 in decreasing order.\nAnswer: 104, 9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*(r**(-3)*r)\/r*r*r**(1\/6))**(-29)*(r*r**(-5)*r*r**(1\/2))\/(r*(r**(-4)\/r)\/r*r*r*r*(r*r**5)\/r) assuming r is positive.\nAnswer: r**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 180808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.9 + 2.1. Let r = 2 + -1.5. Let i = r + t. Sort -4, 0.2, i.\nAnswer: -4, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-220)\/154)\/5)\/(-2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96665?\nAnswer: 5, 19333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 100495 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1717200*u**4 - 4*u**3 + 47055557*u wrt u?\nAnswer: -20606400*u**2 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6 = -5*f, 0 = -5*f - 0*f + p - 2. Let a(r) = -3*r + 70. Let k be a(22). What is the second derivative of f*c - k*c + 8*c**2 - 18*c**2 wrt c?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -16, -0.7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 363913? (a) 2\/7 (b) -0.2 (c) -1\/4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a - 17. Let j be s(-10). Solve -10*y + w = -8*y - j, 0 = 2*y + 4*w - 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, e: 1, w: 5, u: 1, n: 3}. What is prob of picking 2 n and 2 d?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -830, -832, -834, -836, -838, -840?\n\"Answer: -2*q - 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2 + 3*y + y**2 - 4*y - 3. Suppose 0 = 5*g - 0*g. Let w be 1 - 1\/3*g. Let l(r) = -r**3 + 5*r**2 - 5*r - 5. What is w*l(k) - 5*b(k)?\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -352213 (base 8) in base 4?\nAnswer: -131102023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 2*g - 22. Find the third derivative of -16*u**4 + 19*u**4 - 2*u**g - 27*u - 9*u**4 wrt u.\nAnswer: -144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.2. Let u = -0.1 - -1.1. Let d = 0 - u. Which is the closest to 1? (a) 0 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22556 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42777236 (base 8) in base 13?\nAnswer: 1b93011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 3*q + 1421 - 1331, q + 50 = 6*u for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.6680027 rounded to 3 dps?\nAnswer: 15.668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*g**5 + 5*g**3 + 26*g**2 - 8*g.\nAnswer: 720*g**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225693 and 175539.\nAnswer: 1579851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-6))\/(-3*5\/135). Let s = v - -2. Suppose -3*g - s = 2*q - 25, -2*q + 2*g + 30 = 0. Calculate the remainder when 116 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48636\/579*-2*3\/21\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -1264.4.\nAnswer: -6322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -209558 (c) 4 (d) 0.2 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61.5 + 61.2. Which is the closest to 0? (a) -1\/11 (b) k (c) 3 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -690951 - 690954 + 2072862 - 2*d - 690957.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -20123?\nAnswer: 20113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 6*h**2 + 5. Let m be s(-7). Let c = m + -35. Let b = c + -2. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssscsdcdsccssccsd. What is prob of picking 2 c and 1 d?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-7*(-4)\/287476) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 643943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7*x*x*x**(1\/6))\/(x**18*x*x\/(x*x**(-6))) assuming x is positive.\nAnswer: x**(-95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6*k**2 - k**2 + k**2 - 2094*k + 2170*k + 0*k**2 as l*k + u + v*k**2 and give l.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/7 (b) 0 (c) 1 (d) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 10:05 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -3*x - 4, -4*x + 27*k - 4 = 24*k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 407 and 58.4.\nAnswer: 465.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/17, -29, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/1734 and -197\/17340?\nAnswer: 17340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-2*723\/482?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 plus -0.060606819?\nAnswer: 349.939393181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2023 - -81b?\nAnswer: -1707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 0 - 1 - (-20 + 28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -138*p**3 - 3*p**2 + 3*p - 1. What is t(1)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 43. Let l = -5 - y. Let u(j) = 815*j**2 + 8*j + 9. Let b be u(l). Round b to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 16*z - 20. Let q be d(1). Let j(t) = 5*t**2 + 5*t. Calculate the smallest common multiple of j(q) and 35.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z - 23. Calculate u(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0068573491 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25433724 and 39786.\nAnswer: 2094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*w + 26 = -13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/21 and -36\/25.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x - 6*x + 28*x to q + s*x and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1355, 1857, 2367, 2891, 3435, 4005, 4607?\n\"Answer: z**3 - 2*z**2 + 501*z + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 16914647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.5333 meters to micrometers.\nAnswer: 52533300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m - 1. Let p be f(1). Let h be -10*(-2)\/(-12)*p. Suppose -4*q + 109 - 5 = -h*l, 2*q - 52 = 5*l. Is q > 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 212*h**2 - 6365*h + 145. Determine g(30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -20 + -17 + 56.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/79 and (-393384)\/1403040 + (-1 - 8\/(-5)).\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**4 + 45*r**3 - 482*r**2 - 528*r = 0?\nAnswer: -1, 0, 22, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*k**2 - 9*k**2 + 15*k**2)*(21*k - 13*k + 5*k + (3 - k - 3)*(3 + 3 - 1)) - 4*k**3 + 2*k**3 + k**3 to t*k**2 + c*k + o*k**3 + q and give o.\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -10. Put -9, 3, y in ascending order.\nAnswer: -9, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/2 - 9*h**4 + 33*h**3\/2 - 8*h**2 = 0. Calculate h.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*r - 3*c, 4*r + 38 = 5*r + 4*c. Suppose -r*u + 99000 = -13*u. What is u rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16802*u**3 - 39161*u**3 - 14980*u**3.\nAnswer: -37339*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1770 and 480?\nAnswer: 28320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -893132 divided by -893132.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64 - -2) + 12 + -2 + (1 - (3 - 4))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -25*z**3\/2 + 1295*z**2\/2 - 512*z + 102 = 0?\nAnswer: 2\/5, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 29. Let d(h) = -4*h**2 - 9196*h. Give b(d(o)).\nAnswer: 8*o**2 + 18392*o - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 18. Let c be 5\/30*v\/6. Determine h so that -8\/9*h + 2\/9*h**4 - 8\/9*h**3 + 4\/3*h**2 + c = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, -4\/41, 0.27, -2?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -3. Suppose 17 = 21*f - 4*f. Suppose 3*v = -3*j - 6, -v + 3*v = -5*j - 16. Put c, j, f in increasing order.\nAnswer: j, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*a + 8. Factor 5*p**a + 0*p**3 - 4*p**4 - p**3 - 2*p**4.\nAnswer: -p**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2045.\nAnswer: 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6339\/4 - -1570. Calculate the common denominator of g and -45\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*g + 352 + 368 - 687)*(4*g**3 - 3*g**3 - 4*g**3) in the form f + y*g**2 + o*g + c*g**3 + h*g**4 and give c.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4055 + -4044. Suppose 5*u + 28 - 3 = 0. Let m = 44 - u. Calculate the remainder when m is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4 - -4.3. Let l = k - -8.1. Let g = -9.986 + l. What is g rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (0 + 3 - 4). Suppose 0*m - 3 = -m - 2*j, g*j = -3*m + 9. What is the second derivative of -2*k**3 + 0*k - 4*k + 0*k**3 + 7*k**m wrt k?\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -4 + 6 - (-20 - -14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (1 - (4 - -4))) + (-76 - -3 - -16)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -21?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l - 8. Suppose 21 - 1 = 4*u. Suppose -2*j = -u*j + 21. Calculate the remainder when j is divided by b(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**6\/24 - g**5\/10 - g**4\/6 - g**3 - 312*g**2. Let k = -3 - -2. Let f(w) = -w**3 + w**2 + w + 1. What is k*v(j) - 6*f(j)?\nAnswer: j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/7969752 and -131\/168.\nAnswer: 7969752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -42.28. Let v = m - -0.28. Let l = v - -12. Which is greater: l or -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*60*25\/2. What is w rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2744, -5480, -8204, -10910, -13592, -16244?\n\"Answer: r**3 - 2743*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 550 and 1232?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(6\/7))\/i**8*(i\/(i**6*i))\/(i*(i\/(((i*i**(-7))\/i)\/i)*i*i)\/i))**(-31) assuming i is positive.\nAnswer: i**(5022\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 9*w - 20 = 0. Suppose w = -s - 22. Let c = -18 - s. Solve c = -6*p + 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*i - q - 20919, 5*q = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-21)*-6*(-6)\/(-24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/7764 and -133\/6.\nAnswer: 7764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 5:02 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 155. Let u = x + 172. Are u and 31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q - 5. Let n = -2 + -7. Let z be m(n). Let c = -23 - z. Calculate the least common multiple of c and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(8 - (3 - 13\/(-3))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.2779252 rounded to 3 decimal places?\nAnswer: -7.278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2982 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/15 (b) -1 (c) -5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 175 = -28. What are the prime factors of 15\/(-4) + (-4)\/16 + l?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -235 + 239. Suppose m*i = 3*d + 48, 0 = 2*d + d + 12. What is the least common multiple of i and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*z + 7 + 10 = 0, -2*u - z = 44. Let i be -2*((-54)\/u - 2). Which is smaller: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*q - 82, o - 3*q - 3 = 9. Suppose -v = -2, -4*v + 26 = 5*r - v. What is the least common multiple of o and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2261946 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (-8 + -3 + -6 + (-4 - (-5 - 8))).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8372718 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2873a8 (base 11) to base 3.\nAnswer: -211210221200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 27*k - 113. Let q(w) = 57*w - 226. Let y(v) = -4*q(v) + 9*r(v). What is y(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 979.209 milliseconds?\nAnswer: 0.0000113334375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 23 (c) 4\/5 (d) 0.01 (e) -15 (f) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -3, 4, -6, -2, -102 in descending order.\nAnswer: 4, -2, -3, -6, -34, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/22*(-7)\/(-15)*6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 9*o**4\/4 - 51*o**3\/4 - 27*o**2\/4 + 51*o\/4 + 9\/2 = 0.\nAnswer: -1, -1\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/11)*n)\/n)\/(n\/(n**(2\/13)*n)))\/(n**(-1)\/n)**(-32)*(n**(-1\/3))**(-22)\/(n*n**(-1\/4))**14 assuming n is positive.\nAnswer: n**(-57341\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.35 (b) -3 (c) 6\/37 (d) 5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 855 by -57.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-2)*(-242)\/(-55) - 8. Solve 5*j = -o*k + 115 - 121, -j - 4 = 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714455.\nAnswer: 5, 7, 137, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17498200 rounded to the nearest ten thousand?\nAnswer: 17500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 690 and 9981195.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3237 divided by 2\nAnswer: 3237\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 25*r + 188. Give q(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 320291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*u + 42 = 0, -97 + 59 = -3*r + 5*u. Calculate the greatest common factor of r and 1888.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 47*v - 1310. Calculate the remainder when 587 is divided by j(28).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 5*o**3\/3 + 9*o**2\/2 - 3*o - 19. What is the remainder when m(-3) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-77) - (-4980)\/(-8470).\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 111 + 149 = 300 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 34, 71, 122, 187?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**2 - 11*k + 601. Let d be t(10). Suppose 0*y + y - 3 = 0. Sort d, y, -1 in decreasing order.\nAnswer: y, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*2*14\/3. Suppose 16*i + 632 - 184 = 0. Let a be (216\/c)\/(6\/i). Calculate the highest common divisor of a and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8383435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -30112033300 (base 4) in base 10?\nAnswer: -3236848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 24, 34, 48, 66?\n\"Answer: 2*c**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4421 to two decimal places.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 405*x - 826.\nAnswer: (x - 2)*(4*x + 413)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13515\/7796 + 32\/1949. Find c, given that -7\/4*c**3 + 13\/4*c**2 - 5\/2*c**4 - 3\/4 + h*c = 0.\nAnswer: -1, 3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.21 + 0.11. Which is the second biggest value? (a) 1\/4 (b) -2 (c) q (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85833 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 + -5645148454.\nAnswer: -5645148462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, g: 3, l: 1, k: 2, b: 4, q: 1}. Give prob of sequence tl.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -1\/2 (b) 8 (c) 0.021751\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 400 + 3?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of ((-13)\/8*18)\/((-3)\/156)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 234.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -360, -372, -398, -444, -516?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184072657*c - c**2 + 184072657*c.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.559 + 12.509. Let m = -12 + t. Let q = m - -1.05. Is q at least 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177065?\nAnswer: 5, 7, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -1)\/(-2 - -4). Suppose -86*r - 30 = -92*r. Suppose q*v = r*v - 200. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*q + 52 = -56*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 367898515 from -48683.\nAnswer: -367947198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 13*a**2 + 4*a + 73. Let m be k(-7). Which is smaller: 338 or m?\nAnswer: 338","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -797*j**5\/20 + j**4\/3 + 4*j**3\/3 + 2*j**2 - 143*j. Is h(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b409 (base 14) in base 4?\nAnswer: 13210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 3*u**4\/4 + 46*u**3\/3 + 80*u + 242. Find the first derivative of l(z) wrt z.\nAnswer: 9*z**2 + 92*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*f = 4*k + 127, 2*k = -1965*f + 1960*f + 13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.499 less than -0.4?\nAnswer: -2.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2649, 2653, 2669, 2703, 2761, 2849, 2973?\n\"Answer: o**3 - 3*o + 2651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 17*s**6\/3 - 12*s**2 + 163*s. Differentiate c(b) wrt b.\nAnswer: 680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93 and 961.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 518827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 137?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 1 - (-128 - -2).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -704100 by 23470.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.15, 7\/6, -0.2, -0.039, -0.3 in descending order.\nAnswer: 7\/6, 0.15, -0.039, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) + sqrt(171)*2)*-3)\/(sqrt(18)\/sqrt(2)*6).\nAnswer: 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, v: 1, c: 2, u: 2}. Give prob of sequence cvuu.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 136113473945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118 - -133. Calculate the smallest common multiple of f and 27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/33629 + 3772883\/19672965. Let j = 2\/65 + t. Is j > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 77 - 72 = 0. Solve -5*z - k = 19 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4\/d**(3\/2)*(((((d*d**(-2)*d)\/d)\/d)\/d)\/d)**(-1\/53))**(-1\/12) assuming d is positive.\nAnswer: d**(-91\/424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-95)\/(-15) + (-1)\/3. Let k(x) = 7 + v*x + x - 4 - x. What is the tens digit of k(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 6*m**2 - m - 18. Let j be k(-5). What is the greatest common divisor of 150 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67431744 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 + 472*v**2 + 12932*v - 59536.\nAnswer: 4*(v - 4)*(v + 61)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*d - 11*o = 84*d - 0*o + 2*o + 68, 39 = -2*d - 4*o + 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/((-12)\/4))\/((-3)\/(-8)). Differentiate 4*t**3 + 8*t**3 + z + 1 - 9*t**3 with respect to t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -52 + 0*z + 0*z**2 + 2\/9*z**3 - 2\/15*z**5 - 1\/9*z**6 + 1\/6*z**4. Let q(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38702.\nAnswer: 2, 37, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 22 = -3*l, -4*l + 7*l = 4*q - 97. What is the common denominator of (q\/(-2))\/((-66)\/(-18)) and 79\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 = -59*k + 188 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/(-5940) + 4\/(-5) + 0. Let u = 6\/11 + a. What is the nearest to 2\/31 in -4, 0.1, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01060516 to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 285 and 1045.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 5:16 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*r + 47*r - 1424 = -5919 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.54 + -0.54. Let x = -98.3 + 70.81. Let t = m + x. Round t to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 28.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -11*o. Let d(s) = 20*s**2. Calculate n(d(y)).\nAnswer: -220*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 22 = -7. What is the derivative of 17 + 11 + 21 + y*w**4 + 33*w**4 wrt w?\nAnswer: 192*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92718 and 11475?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364300 rounded to the nearest ten thousand?\nAnswer: 1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06248 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/8, -0.06, 127\/3, -0.2 in increasing order.\nAnswer: -0.2, -0.06, 9\/8, 127\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3648564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30183 + -83?\nAnswer: 30100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5\/6 + a**4\/6 - 16*a**3 + 208*a**2\/3 - 128*a\/3 - 128 = 0. What is a?\nAnswer: -12, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177?\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 4:56 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 7*n**2 - 7*n + 3. Let i be h(6). Let y be i\/((-95)\/(-45) - 2). Let s = y + 32. Solve -2*g - 2*g + j = 6, -s*g - 5*j = -5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 110921 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 111 = 3*n, -1624*p - 266 = -2*n - 1632*p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -123*f**2 + 3578*f - 68. What is q(29)?\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from bebeeebsbe?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -56798.2.\nAnswer: 56798.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 17315.\nAnswer: -3463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1134)*-3)\/sqrt(7)*-3)**2 + -1.\nAnswer: 13121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51755 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) + 309\/6. Suppose 0 = 3*y + 3*i - u, 4*y + i = -0*i + 59. What is the remainder when y is divided by ((-1)\/2)\/((-1)\/16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 - (43 - 33) - -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/4))**22*r**13*(r**(-2)\/r)\/((r*r*r\/r**(-2)*r)\/r*r) assuming r is positive.\nAnswer: r**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 86251 + -59139. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*h + 137*h + 20421 = 57*h + 754 for h.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 4549849245.\nAnswer: -4549849245.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 120*z**3 + 92*z**3 - 63*z**3.\nAnswer: -91*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 11*m**2 - 17*m - 17. Let d be j(-6). Let l = d + 96. Let h(g) = -12*g - 7 - 5 + 12. Give h(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/19 (b) 3\/4 (c) 2 (d) 12 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 290 - 160. Is 26 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000017416 rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k - 124. Let r be p(27). Let i = -232 - r. Determine h, given that 0*h + 0*h**3 + i + 0*h**4 - 4\/7*h**5 + 0*h**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 1501?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -55*f**5\/4 + 10*f**4\/3 - f**3\/3 + 28*f**2 - 3. What is the second derivative of a(q) wrt q?\nAnswer: -1650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - (-20 - 16810\/(-420)))\/((-2)\/(-2 + 6)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24840 + -11029. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(27\/(-4)) - (-5626)\/873?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**2*w*y - 23*b**2*w - 990230*b**2*y + b**2 - 2*b*w*y - 681*b*w - b*y - 3*w*y + 145*w - y + 2 wrt b?\nAnswer: 8*w*y - 46*w - 1980460*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 34*x**2 + 14*x - 31. Let r(w) = 17*w**2 + 8*w - 13. What is -4*o(q) + 7*r(q)?\nAnswer: -17*q**2 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-2\/13)*w**(-4\/7)*w*(w**(-7)\/w)\/w*w*w**(-3)*w*(w\/((w**0\/w*w)\/w)*w)**15*(w**(2\/7))**8 assuming w is positive.\nAnswer: w**(3509\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(19)*-1*6 + 1*sqrt(38)\/sqrt(2) + 3 - (3 + sqrt(1539) + (sqrt(1539) + -2)**2 + 0).\nAnswer: -1543 + 23*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58\/3 - 296\/15. Let t be 23 + 624\/(-27) + 780\/1188. Which is the third biggest value? (a) -4 (b) t (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -785*m**4 + 1548*m**4 + 3*m**2 - 767*m**4 - 2 - m**3 + 3*m**2 - 2*m in the form b*m**4 + i*m**2 + y*m + d + j*m**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23145 + 14402251?\nAnswer: 14425440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.036, -2\/3, 5\/9, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -344\/303 - 20\/101. Sort 2\/5, -1, q, -2\/15.\nAnswer: q, -1, -2\/15, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 = -5*x - 0*x, -3*m + 7 = 2*x. Suppose -m*o - 12 = 0, -3*d - 5*o = -8*d + 155. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t**3 + 12069*t - 5727*t - 6342*t - 59*t**3.\nAnswer: -42*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*7\/(-273)*-13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9610 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.24 + -23.24. Which is the second biggest value? (a) 2\/83 (b) 11 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539361 is divided by 241.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, -16, -8 in descending order.\nAnswer: 0.7, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 22*o + 1 - 8 + 19*o - 34*o. Let l(w) = 3*w - 3. Calculate -5*l(j) + 2*t(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4782048156 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-45)\/5)\/(-54))\/(2\/20)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**2)\/(a**(-1\/6)*a)*a**(4\/3)*a**(-2)*a*(((a**(3\/5)*a)\/a)**(1\/51))**(2\/7) assuming a is positive.\nAnswer: a**(2979\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 536 + 316. What is the remainder when b is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12365532.\nAnswer: 2, 3, 389, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 less than or equal to 131\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 5:56 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wpjawwppwj. What is prob of sequence pwpw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19900 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*z + 5*o, 3*z = 4*z - 2*o + 6. Suppose z*x - 159 = -139. Suppose 0*c + 1 = -c. Put c, -3, x in increasing order.\nAnswer: -3, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -16 - (16 - 17)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 5. Let a be -1 + 0 + x + 3. Solve 0*i**a + 0*i - 2\/5*i**4 - 2\/5 + 4\/5*i**2 = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 0 + 7*q + q**2 - 1 + 3 - q**4 to h*q**3 + d*q + n*q**4 + l*q**2 + i and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 9*t + 12. Let o be f(-10). Let z = -2 + 2. Suppose z*v + o*v = 20. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -190774, -190739, -190704?\n\"Answer: 35*r - 190809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 332, 329, 326, 323?\n\"Answer: -3*k + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 + -1. Suppose -6*o + j = 4*o. Calculate the smallest common multiple of 14 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 916113.4783 + 153.5217. Let x = 916258.99998 - j. Let h = -8 - x. What is h rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 402328 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*2 + 4 - (sqrt(2057) - sqrt(2057)*1)**2.\nAnswer: 4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26.71864 tonnes?\nAnswer: 26718640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.3 + -2.51. Let f = -62 + 62.31. Let n = x + f. Round n to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000907069 to six decimal places.\nAnswer: -0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0 + (1 - 1 - 1)*(-2 + 0 + 0) + (1 - 5 + 0)*(-4 + 2 + 3))*(-3*v - v - v) as d*v + k and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8117233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -335008091 + 24\nAnswer: -335008067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 273255, 273277, 273333, 273441, 273619?\nAnswer: 273885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, 1, -3 in decreasing order.\nAnswer: 2, 1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 9:33 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**3 + 5*p**3 - p**3)*(-1 + 1 - 2*p) - p**4 + 3*p**4 - p**4 + (-4*p**4 - 3*p**4 + 6*p**4)*(-1 - 1 + 5).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 18, y: 1}. Give prob of sequence ys.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/((-2)\/(-1)))\/(-1). Let z = 0.1 - 0. Let w = z - -0.1. Which is the closest to w? (a) 0.1 (b) -2\/9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237585515 divided by -5.\nAnswer: 47517103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 less than or equal to 298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -34. Let o = -1044\/5195 - -1\/1039. What is the second smallest value in o, p, -1\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932268 is divided by 774.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 11 = -17*n + 22*n, 4*n = 3*o - 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-2))\/(((r**(-16)*r)\/r)\/r))\/(r**(-2\/13))**(12\/13))**(-2\/27) assuming r is positive.\nAnswer: r**(-5456\/4563)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-13 - (-22 - 12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 177*l + 3247. Let g be d(16). Calculate the greatest common factor of 12 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -9*j + 3. Let b(r) = 3*r - 1. Suppose 0 = 5*x + 2*k + 3 + 4, 4 = k. Determine x*y(v) - 8*b(v).\nAnswer: 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*a - 2*a**2 + 39*a + 3*a**3 + 2*a**2.\nAnswer: 3*a**3 - 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - -14)*(-46 + -3). Calculate the common denominator of 125\/12 and (-4109)\/t + -4*(-3)\/42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*z + 24, 0 = 5*z + 13 - 3. Suppose -6 = -0*a - 3*a. What is the third derivative of 2*b**2 + 7*b**3 - 5*b**2 + o*b**3 + 7*b**a wrt b?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54350\/43 - 1264. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + o = -16, 2*o - 2 = 4*g - 14. Let k(x) be the third derivative of 0 + 0*x**4 - 14*x**2 + 1\/12*x**g + 0*x - 1\/2*x**3 + 1\/120*x**6. Give k(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -55*v**2. Let u(z) = 107*z - 1. What is b(u(t))?\nAnswer: -629695*t**2 + 11770*t - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89992 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/(-180))\/((-3)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 2*o + 3*o**2 + 1\/2*o**4 + 2*o**3 + 3. Solve l(n) = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g - 1. Let h be u(-1). Let a = 0 - h. Suppose -2 - 5 = -2*i + a*o, i = o + 3. Solve -2*w + n = 2*w + 8, 2*w = 2*n + i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 127\/2, -179 in increasing order.\nAnswer: -179, -2, 127\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-1 - 0) + (41 - 40))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-63)\/(-12))\/(-7))\/(13\/(312\/(-207)))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 18*b = 5, 2*b - 62 = -g. What is the remainder when 358 is divided by g?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**3\/2 - 651*s**2 - 89733*s\/2 - 128781 = 0 for s.\nAnswer: -349, -82, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -55*k**3 + 8*k**2 + 75*k + 249. Is 69 a factor of p(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - 405. Let f = -172 - j. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 355, 750, 1143, 1534, 1923, 2310?\n\"Answer: -w**2 + 398*w - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 173048133?\nAnswer: -173048132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/(s\/(s*s*s**(-23))*s)))*s)\/(s\/s**(14\/9))*(s**(5\/4)*s)**(-4\/5))**18 assuming s is positive.\nAnswer: s**(-2002\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*i - 3*r = 56*i + 85, 698*i + 8*r + 0*r + 473 + 375 = 3*r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 1 + 4)*(478 + 62*o - 478).\nAnswer: -248*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18135\/1 + (-7 - -3). Suppose -5*h + 2*x + 21190 = -1464, 4*h + x - r = 0. Suppose 4*g + 5563 = 5*c, -69 = 4*c + g - h. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3040\/8)\/(-38)*7\/5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.320043 millimeters in nanometers?\nAnswer: 2320043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65100 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 470 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 20 = 4*x. Let u = -295 + 301. Calculate the lowest common multiple of x and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjjjjkkrkkkjjjkkrk. What is prob of sequence jrjk?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -24*s + 13. Let b(x) = x. Let q(c) = -6*b(c) - g(c). List the prime factors of q(6).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 164?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/((-5)\/2)*-1\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 19*g + 22*g - 6*g to c + h*g and give h.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = -2*q + 5*q - 5*z, 0 = -5*q - 2*z + 262. Calculate the least common multiple of 30 and q.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7 and 19079.\nAnswer: 19072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 21*m**2 + 10*m - 17. Calculate i(21).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 85*c**3 - 4*c**2 + 50*c - 1. Let j be l(-21). Round j to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 26*w**2 + 10*w + 7. Let a be -5 + (-5 - -24)\/(-1). Is k(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110011000 (base 3) in base 10?\nAnswer: 48222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, p: 1, a: 1, v: 1, e: 6, t: 3}. Give prob of picking 1 e and 1 m.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.01 - -42.99. Let d = q - 43.99963. Round d to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-364))\/((-67375)\/67354 + 1). Let b = 229\/13 - a. Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-2)*h*h**(-2))\/((h*(h*h*h**(-2))\/h*h*h*h)\/(h**2\/h)) assuming h is positive.\nAnswer: h**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/23)*n*n*n*n\/(n*((n\/((n*(n\/(n*n\/(n\/(n*n**(-1\/15)*n))*n))\/n)\/n)*n)\/n*n)\/n) assuming n is positive.\nAnswer: n**(-637\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.1 + 18.3. Which is the biggest value? (a) 1\/3 (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*c**4*p + 7*c**4 - 15*c**3*p**3 - c**3 - 2*c**2 - 14068*c*p**3 wrt c?\nAnswer: 384*c*p + 168*c - 90*p**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -392804*v**3 - 192604.\nAnswer: -1178412*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 426\/21 + (-4)\/14. Let j be 192\/14 + (-7)\/((-147)\/6). Let t(p) = z*p + j*p - 44*p. Let w(s) = -s**2. What is w(t(h))?\nAnswer: -100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -1, 6.3193, -2\/9, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 3*k + 8. Suppose 0 = -77*g + 76*g + 2*w + 3, -w - 6 = -g. Suppose 12 = 4*n + 4*r, 8*n - g*n = 4*r + 6. Calculate a(n).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4 = 4*m, m + 3 = -2*m. Suppose i*c = 7*c - 5. Let q = 11 + -4. Solve -c = -3*z - q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)\/(sqrt(9) + (sqrt(225) - (-4*sqrt(225) - sqrt(225)))).\nAnswer: 2*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -623980*p**2*v - 3*p - 14234318*v wrt p.\nAnswer: -1247960*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3042989329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*w - 1 + 18*w - 11*w)*(-w + w + 2*w**2 - 3 + 3 - 2*w**2 + (w - 4*w + w)*(6*w - 5*w + w) + w**2 - 2*w**2 + 3*w**2 + 0*w**2 - 3*w**2 + w**2).\nAnswer: 44*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-6 - 164\/(-28)). Does 12 divide 2\/((-6)\/(-461)) - 42\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/5 + (1 - -3). Suppose -68 = -p*a - 4. Let r = a + -4. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 10. Let b(q) = -q**3 - 7*q**2 + q + 9. Let r be b(-7). Suppose r*t + 3*t = 70. Calculate the smallest common multiple of t and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddrdfddfdfffff. What is prob of sequence dfd?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 5.154139\nAnswer: 10.154139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 0)*(3*q - 3*q + q)*(-8*q**3 + 3*q**3 + 3*q**3) + 27490 - 913*q**4 - 27490.\nAnswer: -907*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 1. Let q = 968 - 969. Give n(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (198\/(-120))\/11*-4*5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254541 divided by 119?\nAnswer: 2139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6 = c + 2*u, -2*u - 6 = -5*c. Suppose p - 5*j = 4*p - 48, j = c. Factor -p*q + 12 - 6*q**2 + 4*q + 9*q**2.\nAnswer: 3*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25955 rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 504733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 154 + 18 = 0. Suppose -2*t - 4*c - 70 = 0, -c + 26 = -49*t + 48*t. Let q = t - m. Solve 3*p - 4*v + 18 - 49 = 0, -2*p + q = -v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 1. Let w(c) = 3*c + 1. Calculate -4*w(g) + 10*y(g).\nAnswer: -2*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r - 163*r**3 - 167*r**3 + 338*r**3. Let q(b) = 25*b**3 + 7*b. Calculate -7*k(h) + 2*q(h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (22 + -70 - -17) + 57.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1977, -3955, -5933?\n\"Answer: -1978*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 - 7*x + 4. Let i be a(4). Suppose 2*u = i + 28. Suppose -5*j - 25 = 0, 0*t + 3*j + 85 = 5*t. Calculate the remainder when u is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -87*r - 7. Let d be x(-3). Let a = d + -139. List the prime factors of a.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-556)\/(-973)*(-7)\/(-2). Let w(j) be the second derivative of 0 - j + 1\/2*j**2 - 1\/2*j**3 + 1\/20*j**5 - 1\/12*j**4. Calculate w(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(((-2)\/8)\/1). Let g be 2\/(-7) - (-2 - 186\/14). Suppose 9*c = g*c. Solve c = -3*z - 13 + x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -1) + 66\/(-11). Calculate the remainder when 1\/((-2)\/((-196)\/2)) is divided by (-10)\/(((-2)\/(-8))\/(b\/28)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/12 - 8917\/4*-1. Round q to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10605 - 13641 + 24246 + 2*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 5*y - 39, 3*l + 5*y = y + 66. Suppose -4*m - 22 = -w, 0*w + 4*w + 4*m = 68. What is the lowest common multiple of w and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -141*g + 1133. Let j be s(8). Solve j*r + 28 = -2*f + 13, 5*f + 24 = r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + (-47 + 40 - 12).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**4\/4 + 3*o**3\/2 + 6*o. Factor t(v).\nAnswer: 3*v*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.019 + 6.019. Let l be (2950\/6)\/(-5) - -4. Let v = l + 95. Which is the nearest to 0.1? (a) 1 (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 18. Let j = 23 - 8. Calculate the highest common factor of x and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 136935*y - 6. Let w(f) = -8*f**2. Determine i(w(s)).\nAnswer: -64*s**4 - 1095480*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 + (-10)\/(-36). Let x = 2.5 + -2.5. Is x less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -16. Suppose 3*x - 5 = k. Let j be (x*-2)\/(-3) - 2. Solve w - j = -6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12740\/(-35672)*(-48)\/20.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 - k**4 - 2*k**4)*(k - 2*k - 5 + 0).\nAnswer: k**5 + 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6458.214 centuries?\nAnswer: 645821.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-4)\/(-6))\/(198 + -202)*14)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 232334 (base 6) to base 15\nAnswer: 5dd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - -4. Suppose 39*x = 190 + 356. Calculate the smallest common multiple of u and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*w + 570, -4*w + 5*z - 6*z + 477 = 0. Let l = w - 113. What is the remainder when 93 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + -123 + (101 - 32)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 47 - 8 - 25 - 5*o**2 - 5*o + o**3. List the prime factors of q(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79047\/((-105)\/(-7) + -12) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 20*y**2 - 5*y - 2. Let g(x) = -5*x**3 + 2*x**2 - x. Let r be g(1). Let o be h(r). Suppose o = 3*c - 235. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 8:24 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 19*z**3\/3 - 9*z**2\/2 + 45*z - 74. Does 15 divide q(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7273 + 7268. What is the fifth smallest value in 8\/5, s, 1, -2, 1.4?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 215 + -194. Let y be 1 + 72\/k - (-9)\/(-21). Let r be (0*(-2)\/6)\/(-1). Solve r = -4*f - 3*d + 6 - 0, 0 = -f - y*d + 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*p - 79*p**3 - 81*p**3 + 155*p**3 wrt p?\nAnswer: -30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-357)*30\/80.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 495177 to the nearest 10000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 0.3, 0.1, 331?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15b5980 + -3?\nAnswer: 15b597b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (8 - 12779\/1599)\/((-30)\/657) and 14\/205?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 627818 and -1558.\nAnswer: 626260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 43411838 to the power of 1\/2, to the nearest integer?\nAnswer: 6589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.524863 milligrams to grams.\nAnswer: 0.001524863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 2 + 23 + -8 + -10 + -18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 6, s: 4}. What is prob of sequence cj?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j - 6. Let b be p(-5). Suppose -15 = -b*f + 5. Suppose -4*o - 50 = -3*g, -o - o = f*g - 40. Solve 0 = -4*x - l + g, -3*x = -4*x + 5*l + 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 22 = -422. Calculate the highest common factor of 20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5\/7 + 2606*k**4\/7 = 0. Calculate k.\nAnswer: 0, 1303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-15)\/(-9)*3\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - l**2 + 9*l**2 + 3 - 9*l**2.\nAnswer: 2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -84*m + 171*m - 2 + 33*m**3 - 85*m + (-3 - 1 + 2)*(-m + m**3 + m).\nAnswer: 31*m**3 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 9*c**2 - 11*c + 2. Let f = -9 + -1. Let k be h(f). Suppose -j - k = -4*j. Solve 0 = 5*r - 3*w + j, 3*w - 4 - 3 = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.3 (b) -18 (c) -23 (d) -1\/3 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018792356 rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147598 and 6?\nAnswer: 442794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 29 + 12 - 3*b**3 - 101 - 113.\nAnswer: -3*b**3 - 209","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3769836 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 + -9)\/(1\/1). Suppose b*q = 2*q - 10. Sort 1, -1, q.\nAnswer: -1, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 393390 and 29760.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 3*x - 7. Let a be i(5). Suppose -c + a*c - 238 = 0. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*((-1)\/(-3) - (-6 - -6)). Suppose -3*x - 852 = -5*x + 2*t, d*x + 3*t - 832 = 0. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2742 - -183. Suppose a = 3*t + 3*r, 4*r = -3*t + 2528 + 402. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -97.8534 to 0 dps.\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3332*p**4 + 1958*p**3 - 190*p**2 + 86*p - 776 wrt p.\nAnswer: -79968*p + 11748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.24 * 1838.\nAnswer: 2279.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 198170182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 4*g + 3. Determine k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -66*n + 493. Calculate d(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 205125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 506940 to the nearest one thousand.\nAnswer: 507000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + (-4 - -1) - (6 - 24).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.11 + -0.1. Let p = -2359.00997 + 2359. Let i = f + p. Round i to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -216, -3\/2, -4\/7, 8979\/26, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*-6*(1 + sqrt(7)))**2 + (1*sqrt(84)*-1)\/sqrt(12)*1.\nAnswer: 5183*sqrt(7) + 20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 12, k: 1}.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -16. Suppose -y = 4*f - 6*y - 2, -f = j*y - 7. Factor 17*n - f*n**2 - 1 + 5*n**2 - 5*n + 19.\nAnswer: 2*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 278 * 0.1.\nAnswer: 27.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28520632.\nAnswer: 2, 7, 509297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - (16 + -15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - sqrt(567) - sqrt(7)) + 4 + ((sqrt(847) + 1)**2 - (2 + 0 + sqrt(7))) + (sqrt(756) - -5*-2*sqrt(756))\/(sqrt(192)*-2).\nAnswer: 139*sqrt(7)\/8 + 850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 423 + 209. Let g = f + -631.996995. Round g to four dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*n - 22 = i, 2*i + n = 29. Calculate the lowest common multiple of (-20)\/3*(-24)\/i and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*g**2 - 137*g**2 + 2*g**3 - 23*g**3 + 232*g**2.\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4049*t**2 + 9073*t**2 - 5054*t**2.\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*-939733.51\nAnswer: 1879467.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -257, -569, -937, -1361?\nAnswer: -1841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*f = -219767 + 216595 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56426\/33285 - ((-13)\/(-5) + -1).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534958 to the power of 1\/2, to the nearest integer?\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 8*m**2 - m + 14. Let v be u(8). Let p(i) = -108*i - 12. Let n be p(v). What are the prime factors of ((-32)\/(-10))\/((-12)\/n)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3)*r)\/r**4)\/(r\/(r\/((r*r**(-1\/6)*r*r)\/r))*r\/(r\/(r*r\/((r**(2\/7)\/r)\/r*r*r)))) assuming r is positive.\nAnswer: r**(-289\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8286 and 6588?\nAnswer: 9098028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.13 in 0.3, -2\/13, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 292848 a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.09 - 4.91. Let t = 0.4 - 0.1. Let l be (72\/56 + -1)\/(8\/(-42)). Sort i, l, -18\/11, t.\nAnswer: i, -18\/11, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -12*g**5\/5 - 19*g**2 + 21. What is the second derivative of m(z) wrt z?\nAnswer: -144*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143421222 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*f**3 - 2*f**3 - 2*f**3)*((1 - 1 - 2*f)*(-1 - 1 + 6) - 15 - 19*f + 15) to the form c*f**3 + g + m*f + b*f**4 + t*f**2 and give b.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + u + 1. Let h(z) = 3*z**3 - 4*z**2 + 1. Let a(m) = -h(m) + 4*s(m). What is a(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from iiciiiiiiiic?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10.64, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -2*h**5\/65 - 7*h**4\/26 - 22*h**3\/39 - 5*h**2\/13 - 105. Factor u(p).\nAnswer: -2*p*(p + 1)**2*(p + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -12, -3\/4, -58\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4343 is divided by 207?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(3)*2) + sqrt(17) - (1 + sqrt(85)\/sqrt(5)).\nAnswer: -1 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/2*(-6)\/(-9). Let l(y) be the third derivative of 0*y**5 + 0*y**3 + 0*y**6 + 0*y**4 + 0*y + 1\/840*y**7 + 0 + 2*y**c + 1\/1344*y**8. Solve l(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = o - 122. Is 100\/13 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eke when three letters picked without replacement from ekekkkkeee.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19703 + -8475. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 5, -1\/5, 132, -0.03?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 811440 - 0.66.\nAnswer: 811439.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 2003623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*x + 4*x - 4*x)*(5 - 203 + 15) + 1 - 1 + 2*x)*(4 - 1 - 2)*(-2*x + 0 + 0).\nAnswer: 1094*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -30*z + 31*z + 1, -13 = -5*z - f. Suppose w - 115 = -g + 158, -z*w = -5*g - 532. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20492 and -968?\nAnswer: -19836256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20211 - -200211?\nAnswer: 221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -129\/110 and -61\/150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 2*u - 3)*(-14*u - 52 + 52).\nAnswer: -28*u**2 + 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/3 - 1528*n\/3 + 7690\/3.\nAnswer: -2*(n - 5)*(n + 769)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -16*f + 1. Let u(k) = 2*k**2 + 844*k + 58472. Let v(z) = 20*s(z) + 2*u(z). Factor v(h).\nAnswer: 4*(h + 171)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122376945 a multiple of 709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*o - o + 8 = 0, -5*o = 2*q - 17. Let f(r) = -15*r**2 + 20*r**2 + 0 + 1 - r. Determine f(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.82 - 11. Let v = -1.88 - x. Round v to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a centimeter in micrometers?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -38. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 49\/4 of a microgram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-117)\/(-26)*11732\/21.\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-6 - -2 - -3). Let k = 2 - u. Solve 0 = -4*w + 5*w - k*c + 11, -3*c + 22 = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 281, 7\/9.\nAnswer: 7\/9, 4, 6, 281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3200.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-1)\/3)\/1)\/((-8)\/168). Suppose -3 + a = 2*f. Suppose 2*o - 672 = -2*o + 3*d, -f*o + 350 = -5*d. What are the prime factors of o?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0.5, 1\/3, 1\/35, -93?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 5. Let m be y(-9). Suppose m*w = 3*w + 27. Suppose 0*n = -5*n - 3*z + 70, 0 = 5*n - z - 70. What is the remainder when w is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(-1288)*11\/11.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18713 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: Simplify (((s\/(s*s*s**(-1\/2)\/s*s*s))\/s**(-4))**47)**(-1\/14) assuming s is positive.\nAnswer: s**(-235\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573063 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 8*q - 7. Let v be b(-5). What is the second derivative of -3*s**2 + 4*s - s + v*s**2 wrt s?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-17) - 2) + 2. Let j(b) = b**3 - 9*b**2 - 4*b - 10. Let g be j(8). Let r = g + 107. Which is greater: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -151*m - 1. Let f be j(-1). Calculate the highest common divisor of f and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/(3\/(-27))*(-30)\/(825\/55).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23, 46, 69, 92, 115, 138?\n\"Answer: 23*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -98, -142, -224, -356?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 17640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11728.\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -1. Let f(z) = -5*z + 8. Let w be f(6). Let y = w + 37. What is the greatest common divisor of y and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 921*o**5\/5 - 1289*o**2\/2 + 7232*o. Differentiate r(t) with respect to t.\nAnswer: 11052*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence loll when four letters picked without replacement from loooloollo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**3\/6 - 147*n**2. Let t(y) = -3*y + 7. Calculate -t(a) + 5*v(a).\nAnswer: 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.5, -0.5, -726, -3, -1, 0.13, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*j + 264*j + 105*j = -11328 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v - 20. Let h = -27 + 18. Let m be h\/(-4) - 13\/52. Sort v, m, -0.4.\nAnswer: v, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231787 equal to 927145\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -69214863*u**2. Let z(o) = 3*o. Calculate z(k(s)).\nAnswer: -207644589*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + -1. Let o = 15.3 - 15.4. Which is the second biggest value? (a) 1 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - m + 73 = 65, -3*w = -4*m - 23 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34810 + 49319. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 0.41, 2, -28448.\nAnswer: -28448, -1, 0.41, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-8 + -1 + 12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c. Let w(a) = -2*a**2 + 7*a - 2. Let i(v) = -2*j(v) - w(v). Suppose 17*b - 18*b = 4. List the prime factors of i(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 15 - 16*y + 128*y**2 + 51*y**2 - 225*y**2 - 3*y + 47*y**2. Let f be (3 - (-9)\/(-2))*-12. Calculate s(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-12) + (-12)\/(-9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + -2)*1 + sqrt(13))**2 + -1 + sqrt(325) - (sqrt(208)*1 + -1 + (sqrt(208) - (sqrt(208) - 6*(1 + sqrt(208)))))**2.\nAnswer: -10162 - 283*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*x**2 - 3)*(-1 - 1 + 1) + 55*x - 55*x - 25*x**2.\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 25*x - 16*x)*(-x**3 + 3*x**3 + 0*x**3).\nAnswer: -74*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137044275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8390495 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 19*i + 1. Let p be a(-1). Let y = 31 + p. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, a: 6, c: 3, x: 1, e: 2}. Give prob of sequence caa.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1626 + 2994. What is the units digit of (2\/4)\/(9\/c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 5*c**4\/12 + 112*c**2 - 2*c. Let y(q) = 61*q**2. Give o(y(m)).\nAnswer: 610*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p + 3*m + 303, 0 = 2*p - 5*m - 293. Let x = p + -111. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 2*s**2 - 3*s + 1. Let q be n(-3). Let k = 3 - q. Is 2 a factor of (-2)\/(12\/(-15))*k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klpp when four letters picked without replacement from lplpkk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1*5\/10)\/((-1)\/35*20\/8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1413185.\nAnswer: 5, 109, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 7*o**2 + 8*o - 6. Suppose k - 6 = -0. Give u(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -2. Let h be -2 - ((-70)\/8 - y). Let x = h - 15\/2. Does 0 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1504742340 + -3?\nAnswer: -1504742343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1213.9 - 1150. Let f = 64 - y. Sort -10, 1\/4, f in descending order.\nAnswer: 1\/4, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 (base 13) in base 5?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1341779 greater than -1341781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 0*k - 6*k - 3*k + (-5 - 6 + 3)*(-4*k + k - 5*k) to o + d*k and give d.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (21 - 10) + 3 + -8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*w**2 - 7*w - 15*w**2 + 2*w + 76*w**2.\nAnswer: -56*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4462147 milligrams in kilograms?\nAnswer: 0.0000004462147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7811, 7838, 7859, 7874?\n\"Answer: -3*k**2 + 36*k + 7778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322325 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l. Let x(p) = -p - 1. Let w(b) = 5*b + 6. Let r(q) = -q + 9. Let d be r(8). Let s(t) = d*w(t) + 6*x(t). Calculate z(s(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 127156, -1\/5, -0.1, 1, 21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17329 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(6 + 11 - 7)*(0*l + 4*l - l).\nAnswer: -60*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 408920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -18*m**4 + m**3 - 3*m + 1. Let r(k) = -387*k**4 + 2*k**3 - 3*k**2 - 6273*k + 2. Let y(t) = -2*p(t) + r(t). Find the second derivative of y(i) wrt i.\nAnswer: -4212*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131*1 - (33 - 36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 12:36 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1630)\/70 + 0 + (-4)\/(-14).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.7 (b) -4 (c) -1\/2 (d) 1.69 (e) -0.06 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1200, 2372, 3544?\nAnswer: 4716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s - 35. Let b be h(10). Suppose -2*n = -b - 31. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 11*n**2 - 8*n + 21. Let j(d) = -d**3 + 12*d**2 - 9*d + 21. Let y(c) = 2*j(c) - 3*q(c). Suppose -8*l = -4*l - 40. Is y(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2911 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*6*(sqrt(190) + sqrt(190) + sqrt(190)*1 + sqrt(190) + sqrt(190)))\/((sqrt(60)\/sqrt(3))\/sqrt(2) + (sqrt(10) + sqrt(90))*2).\nAnswer: -20*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * -0.0083\nAnswer: -0.000498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.68 rounded to 0 decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12108979, -24217969, -36326959?\nAnswer: -48435949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5651 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -17060, -2, 0, -5, 4\/5 in ascending order.\nAnswer: -17060, -5, -2, 0, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7968.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32189219 <= 32189227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p**2 - 2286*p**3 + 761*p**3 + 767*p**3 + 760*p**3 + 143*p**2.\nAnswer: 2*p**3 + 129*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - h + 2*h**2)*(-3*h**2 - 12*h**2 - 2*h**2) in the form y*h**2 + o*h**3 + p*h**4 + w*h + a and give p.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**23\/u)\/u*u)**21*u*u\/u**33*u\/u**25 assuming u is positive.\nAnswer: u**428","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225, -976, -2227, -3978, -6229?\nAnswer: -8980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.22 + -2.22. Sort 2\/9, d, -1, 4.\nAnswer: -1, 2\/9, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-3 + -1) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-10960)\/260 - -27?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 6*w**2 - w - 4. Let c(l) = -l - 1. Let p(b) = 2*c(b) - q(b). Suppose 0*a = a - 2*r + 3, 4*r = -a + 9. Let f be 8 + -6 - (a - 5). What is p(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-5) + 1\/(-5). Suppose -85 = -5*s - 5*a, 0 = a + f - 4. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 4) + 4 + (-117 - -85).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1976\/380)\/((-16)\/10)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109 and 1717.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24187 is divided by 205?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11196672.\nAnswer: 2, 3, 61, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 9*z + 21. Let d(j) = 3*j + 2. Let b(w) = -3*w. Let s(q) = z*d(q) - 4*b(q). Let a(k) = 2*k. Give s(a(h)).\nAnswer: -6*h - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 7*p. Solve -10 = -p*x + x - l, -5*x = -4*l + 45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 64.\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -5*a**3 + 0*a + 331*a**2 - 103\/24*a**4 + 0 - 17\/15*a**5 + 1\/24*a**6. Find k such that h(k) = 0.\nAnswer: -1, -2\/5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gllngggnnnglg. Give prob of sequence gngg.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/21 - 72\/(-7). Let o(c) = c**3 - 43*c**2 + 41*c + 53. Let k be o(42). Are x and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/3306 and (-15)\/(-18) - (-6 + 814\/48)?\nAnswer: 13224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384 divided by 6.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8*t + 48. Let g(p) = -p + 25. Let f(h) = 2*g(h) - o(h). Let x(z) = z**2 - 7*z - 2. Calculate 4*f(y) + 3*x(y).\nAnswer: 3*y**2 + 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*g - 7725 = 0, 0*g - 2*g - 15438 = -2*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -327.81 - -327.8. What is the fourth smallest value in -2\/9, n, 0.4, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8517.07 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bibbppibxkppiikkkibi. Give prob of picking 2 b and 1 x.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 64\/10 + (-52)\/130\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9159 * -6.97\nAnswer: 63838.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1049, -1041, -1019, -977, -909, -809?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1383*t + 385297*t + 290152*t.\nAnswer: 674066*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 30*g**2 + 246*g - 3. What is f(20)?\nAnswer: 917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34033021619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**4\/24 + 3*g**3\/2 + 4*g**2. Calculate w(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3.5. Let m be 48\/18*(-24)\/5. Let p = m - -566\/45. Which is the closest to k? (a) -0.1 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*p**2 - p**3 + 56*p**2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*s**2 + 146*s**2 - 75*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002247781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5*h**0*h*h)\/(h*h\/(h**(-1\/5)\/h*h)*h*(h\/(h\/h**(1\/2)))\/h)*(h**(1\/2))**(-34)*h*h**0*h*(h\/(h\/(((h\/h**(1\/2)*h)\/h)\/h*h)))\/h assuming h is positive.\nAnswer: h**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 1, v: 1, j: 1, f: 1}. Give prob of sequence vf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2 + 7*r + 0*r**2 - 5*r**2 - 6 + 4*r**2. Let y(t) = t**2 - 6*t + 3. Calculate 5*x(a) + 6*y(a).\nAnswer: a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 1 - 1 + (4 + 0 + 7)*(3 - 8*g + 11*g - 1).\nAnswer: 31*g + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -3. Let x(j) = -4*j**2 - j + 3. Let t(r) = -r**3 + r**2. Let o(c) = k*t(c) + x(c). Let q(h) = 5*h**3 - h**2 + h - 4. Determine -4*o(m) - 3*q(m).\nAnswer: m**3 + 3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -16777*i + 25. Let j be x(18). Let l = 211561 + j. Round l to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -406*x + 13896. Calculate s(34).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5054599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 379*b - 87590. Calculate j(135).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*h - 5529, -10*h + 14*h - 11023 = 3*k. Is 129 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-8)*(-2150 + (-6 - -4))?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223 = 4*c - b + 215, -37*b = -5*c + 153 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 347 + -348. Which is the closest to -1? (a) 5 (b) -0.4 (c) 1 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 - 975*v - 1893*v**2 + 1892*v**2 + 46 to the form z*v + n*v**2 + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from {v: 2, h: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/6 + 26\/(-78)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2027429 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/77 + 45\/616. Let g = -237003585\/22 + 10774702. Let f = g - 1811. Calculate the common denominator of c and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 864883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 17*v + 6. Let x be r(-15). Let q = 103 - -293. What is the highest common divisor of x and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (39 + -61 - -54)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 8*d**2 - d - 1. Suppose 5*p = -0*p + 40. Let a = -16 + p. Is 7 a factor of g(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + -3 + -1 + 4. Suppose -z = -u - 2*u + 21, u - 7 = -c*z. Suppose 4*r = 5*r - u. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-27))\/((-94)\/141))\/(1\/(-912)*-8)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2. Let y(a) = 246*a**3 + 2*a**2 + 2*a. Calculate -s(v) - y(v).\nAnswer: -246*v**3 - v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33877527?\nAnswer: 3, 109, 211, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 4:30 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 208.03 - 311.94. What is u rounded to the nearest integer?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-33000)\/16498 - (-5 - -3). Let t = 173273\/181478 + u. Find the common denominator of t and 41\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 10*y**2 + 9*y + 2. Let w be i(-9). Suppose 0 = -3*p - p - w*a + 6, 4*p = a + 9. Solve 2 - 4 = -p*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 213*f**5 - 86*f**2 - 76*f**2 + 162*f**2 + (-f**4 + f**4 + 2*f**4)*(3*f - 3*f + 2*f) - f**2 - f**5 + f**2.\nAnswer: 216*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6535 is divided by 6494?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - j. Let v(x) = 3*x**2 - x + 1. Let t(a) = -5*q(a) + 3*v(a). Let y be t(-2). Let i = 0 - 0. Put 4, y, i in ascending order.\nAnswer: y, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11578*v + 144 = 11562*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g. Let n(f) = -167403*f**2. What is n(i(q))?\nAnswer: -167403*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2123 (base 5) in base 14?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 708, 1557, 2542, 3663, 4920?\nAnswer: 6313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 276189163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 240232*p**3 + 1298*p - 26.\nAnswer: 1441392*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(((-1)\/9)\/(7\/3))\/(194\/4656)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/5)\/((-4)\/10). Let l = 200.6 + -201. What is the closest to -0.2 in p, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tettteettt?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from {y: 1, g: 2, n: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - -2 - (-180 + -2). Suppose 4*v - 9*v = -h. Let y = 43 + v. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 996*f**4 + 3*f**3 - 458*f**2.\nAnswer: 23904*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10423 = -5*k + 5187. Calculate the common denominator of (-1)\/5 + k\/13860 and 33\/8.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 109.6, -1\/3, -4, -1, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3 - 6*o**3 + 5*o**3 + 6*o**2 - o - 6*o. Let y be g(3). What is the highest common factor of y and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 5*l**2 + 2*l + 3. Let x be f(-4). Which is smaller: x or 12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -21 - (3 - -5 - 2 - 15).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50))**2*4 + 4*sqrt(2)*1.\nAnswer: 4*sqrt(2) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 - 6535*o**2 - 1198*o**2 + 3.\nAnswer: -7733*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101143 is divided by 282?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 - 4*f**2 - f + 1. Let y(z) = 2*z**3 + 3*z**2 + z - 1. Calculate -4*h(k) - 5*y(k).\nAnswer: 2*k**3 + k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 3. Suppose -3*j = -10 - 2. Let z = j - 0. Solve -l - z = -k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u = 24*u + 5, -4*d - 4*u - 12 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) -15 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1. Let c be b - 14*(-1)\/(-2). What is the units digit of 2\/8 + (-14)\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5520649.21 less than 68?\nAnswer: -5520581.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/8 of a microgram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*p - 4 - 2*p + 1)*(-46 + 1 + 9).\nAnswer: -432*p + 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**5\/60 + 2*c**4\/3 + 37*c**3\/6 - 86*c**2 + 2. Determine t(-16).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(16\/7)*a)\/(a\/a**(-1\/26))*a**32\/a**(-22) assuming a is positive.\nAnswer: a**(10237\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (22 - (0 - 2)). What is the common denominator of (5267\/(-2290))\/(0 + 8\/(-15)) and (261\/u)\/(16\/14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126122?\nAnswer: 2, 19, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 513598 or 513596?\nAnswer: 513598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13707923 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11120 + -311?\nAnswer: 10304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45113, -92135, -139157, -186179, -233201?\nAnswer: -280223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2078 * 3.\nAnswer: -0.6234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3014 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204132840.\nAnswer: 2, 3, 5, 61, 79, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -44 - 1c368a?\nAnswer: -1c3701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from yyejfeyhyyeff?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 7*r. Let s be (r\/(-2) + -1)\/(-1). Suppose -b + 4*z - 11 - 10 = 0, b = -4*z + 19. Which is smaller: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + -1 - 87\/(-58).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1789 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: Let q be 34 + (2 - 1) - 3. Let r = -57 + 39. Let h = q + r. What is the remainder when 40 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003441 a multiple of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 34 = -236. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u\/u**(-2\/13))*u))*u*(u*(u**(-5\/4)*u)\/u)\/u)**(-50) assuming u is positive.\nAnswer: u**(-775\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 9 + 9 + 37*o - 35*o. What is the lowest common multiple of 32 and h(-5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7*-34*(-476)\/867.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048853?\nAnswer: 13, 80681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -84. Suppose x*j - 141 = 7*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78191.\nAnswer: 78191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11666 is divided by 508.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*n**2 + n**2 + 3*n**2)*((3 - 1 + 0)*(n - n + 2*n) + 52*n - 3*n - 12*n)*(-1 - 4*n + 1) to the form y*n**2 + r*n**3 + b + t*n + u*n**4 and give u.\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 + 8*i - 7. Suppose 30 = 7*c - c. Let w(h) = -6*h**2 - 12*h + 11. Let f(u) = c*w(u) + 7*n(u). Factor f(m).\nAnswer: -2*(m - 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 18*p**2 + 15*p + 25. Let j be s(17). Calculate the remainder when 34 is divided by (j\/(-4))\/((-5)\/(-40)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72\/5 of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {a: 1, x: 2, f: 4, i: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -360715 + a?\nAnswer: -360706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3287 and 232339?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 601*a**2 - 100*a - 667. What is the tens digit of k(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -9\/166517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-665)\/35)\/38)\/(15\/(-6))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -218*c**2 - 1068*c - 6. Calculate o(-5).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 254?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 - 236*g**4 + 26*g**2 + 269*g**4 + 4 - 37*g**4 to the form n*g**4 + j*g**3 + p*g**2 + f*g + i and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -116a818 (base 12) to base 6\nAnswer: -200221232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 + n**2 + 5*n**5 - 2*n**5 + (-4*n**3 - n**4 + 4*n**3)*(-4*n + 4*n + 6*n).\nAnswer: -4*n**5 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 8 - 34*j - 6 + (-6 - 4 + 2)*(485 - 485 - 28*j) in the form v + m*j and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 42*u - 75. Determine n(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*h**3 - 3 + 5\/3*h**2 - h.\nAnswer: -(h - 3)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31999 + -32060 + 0 + 22 + 1\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -279 plus -181596?\nAnswer: -181875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/31, 0.3, 13, -7, -3, -1\/254?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 21*r**3 + 5*r**2 - 10*r - 5. Let w(d) = 400*d**3 + 96*d**2 - 192*d - 96. What is -96*v(f) + 5*w(f)?\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10790167 - 613512.\nAnswer: 10176655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5565\/100 + 1\/(-4). Let i = -55 + b. What is the third biggest value in i, -1\/2, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4324142111 (base 5) to base 4.\nAnswer: -203020103013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(4) + 2*sqrt(4)))**2 + 3.\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 69, 33, -3?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 2*d - 6, d - 5*l = -0*d - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/63 and 1 - (-3)\/(441\/(-255))?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) 2 (c) 3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 253416*c**2*d*t**3 - 511*c**2*d*t + c*d*t**3 + c*t - 151*d*t**2 wrt t?\nAnswer: 1520496*c**2*d + 6*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 1\/(5\/55). Suppose 22 + 46 = 4*l + 2*i, 4*l - 60 = 2*i. Calculate the greatest common divisor of l and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4907, 4912, 4917, 4922, 4927?\n\"Answer: 5*i + 4902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00616 less than -0.4?\nAnswer: -0.39384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.473 - -0.873. Put -5, u, -41, 5 in decreasing order.\nAnswer: 5, u, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5671586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*k**3 + k**3 - 6*k**3)*(12 + 0 + 1) to r*k**3 + j + q*k + s*k**2 and give r.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-20)*-1*5\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(1 - (-2 + 4)). Let w(i) = 3 + 6 - i + j. Is w(5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 2*c**2 - 8*c**3 - 7*c**3 - 1. Calculate the remainder when 44 is divided by a(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, n: 17}. What is prob of sequence lnn?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -1. Let k = -6.9 - t. Let d = 6\/17 - 29\/34. Which is the third smallest value? (a) -0.2 (b) d (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(102)*4)\/(5*sqrt(216))*-4.\nAnswer: 16*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 41*q + 4. Let f(z) = 3*z**2 + 83*z - 9. Calculate -4*f(w) - 9*l(w).\nAnswer: -3*w**2 + 37*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152*k + 62*k**2 - 152*k to the form j + o*k + t*k**2 and give t.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4 + p**2 - 5*p**2 + 5*p**2 + p. Let o be d(0). Suppose o*j + 4 = -3*r - 2, -4*r = 4*j + 4. Solve -r*m - 14 = 4*n - 0*m, 22 = -5*n + 2*m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**2 + 437*c + 174. Let o be x(-87). Factor 0 + o*k**3 + 1\/9*k**5 - 2\/9*k**4 + 2\/9*k**2 - 1\/9*k.\nAnswer: k*(k - 1)**3*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26650?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 9*v - 20 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1575 divide 126146475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 21112780 to the nearest 10000.\nAnswer: 21110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006889806 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -k + 4, 2*k - 1 = q + 3*k. Let u be (-15)\/12 + ((-65)\/(-60) + -1)*-57. Sort q, u, 2, 5 in decreasing order.\nAnswer: 5, 2, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + h**3 - 28*h**2 - 3*h**3 - 6 to q*h + f + b*h**3 + s*h**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1684\/18 - 1027\/(-79). Is b at least as big as 108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 3:28 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*k + 5 - 5)*(-2 + 1 + 2)*(-46 - 34 - 24)*(-k**2 + 5*k**2 - 3*k**2) in the form g*k**3 + q + j*k + a*k**2 and give g.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4013034402 (base 5) to base 13.\nAnswer: 1850016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rffv when four letters picked without replacement from frrvfvfvffyfffyf?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -127 + 54 + 52 + -65?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 2*t**2 + 3*t**2 + 0*t**2 - 2*t**2 to g*t**2 + u + d*t and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/4 + 34880790*u**2 + 139523169*u + 139523172.\nAnswer: -3*(u - 46507724)*(u + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 13. Suppose -w*q = -10*q + 350. Calculate the highest common factor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*((-1278)\/12 - 1\/2). Suppose 3*a = 4*h - 1070, -822 = 2*a + 3*h - 86. Let j = k - a. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(9\/(-3))*-5. Suppose 3*d + 132 = -p + 48, f*p = 2*d - 335. What is the units digit of 1\/3 + p\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 800400.\nAnswer: 2, 3, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 571937 and -0.5?\nAnswer: -285968.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -483 + 23 = -10*g. Suppose 38*k = 36*k + g. Calculate the remainder when k is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - x**2 + x**2)*(-7964*x + 66 + 11 + 60 - 137).\nAnswer: -7964*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -356, -1\/2, -2, 1, -137, -2\/53?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47 - 102 - 8*n**4 + 4*n**2 - 2*n**3 + 57 to i*n**2 + u + p*n**4 + b*n + t*n**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + -2 - (-34 + -2 - -18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009437 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/11 (b) -188\/5 (c) 2\/9 (d) -1.52 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j - 8*j - 3*j + (2 - 4 + 0)*(-2 - 2*j + 2).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, 3, -1545, 25\/12, -0.4?\nAnswer: 25\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3156)\/9*75\/(-50))\/1. Round v to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -324 + 327. Put -1, a, -3, -4 in descending order.\nAnswer: a, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2744 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1176, 1 in decreasing order.\nAnswer: 1176, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*c = -10, -55 = 5*i + 2*c. Let q(x) = x**3 + 13*x**2 - 10*x - 30. Does 20 divide q(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**5\/20 - s**4\/6 - s**3\/6 - 6*s**2. Let d(l) = l**2 - l. Determine 4*d(r) - z(r).\nAnswer: r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f. Let t(s) = -s**2 - 5*s + 5. Let j(p) be the second derivative of p**3\/3 - p**2 - 6*p. Let i(z) = -10*j(z) - 4*t(z). Determine c(i(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**3\/6 - 5*n**2\/2 - 6*n. Let v be y(-7). What are the prime factors of 97\/3 + v\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((-924)\/396)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26373890 a multiple of 1966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 72. Suppose j = -10*b + 345 + 155. What is the highest common divisor of b and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 141 + 354 = 0. Let y = q + 16. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -5*p**3\/6 + 86*p**2 + 84*p - 2. Is 9 a factor of k(29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*k - 23 = -2*b, 2*k = -3*b + 18. Suppose 2 = 4*q - k*q. Determine p, given that -8*p**4 - 2 - p**q + 5*p**3 - 13*p**3 + 7*p**2 + 4*p = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-24))\/((-9)\/(-6))*-12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b - 16*b)*(b**4 + 4 - 4).\nAnswer: -17*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 5*j**2 - 6*j + 6. Let x(r) = -2*r + 8. Let c be x(-9). Suppose -5*l + l + 5*d - 44 = 0, c = -l + 5*d. What is n(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 5:32 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 2:44 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 6157.1 to the nearest ten.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -31220160?\nAnswer: 18732096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(-4 + (sqrt(2592)*2)**2 - (sqrt(2592)*-3 + -1)**2).\nAnswer: 1296*sqrt(2) + 77790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n + 6*n + 3*n)*(0 + n**2 + 0 + (3*n + 2*n - 3*n)*(-2*n + 4 - 4)) + 33*n**3 - 18*n**3 - 14*n**3 as d*n + y*n**2 + x + s*n**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2235, -4440, -6643, -8844, -11043?\n\"Answer: w**2 - 2208*w - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 113*t**2 + 12543*t - 5. What is z(-111)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (6 + -10)) + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 299700 and 2220.\nAnswer: 299700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1280)*3)\/(sqrt(120)\/(sqrt(300)*6)).\nAnswer: 720*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g + 1. Let b be p(3). Let d be (3 - 5\/2)*b. Solve 0 = d*v - 0 + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(((((z\/z**(-4\/9)*z*z)\/z)\/z)\/z)\/z))\/z**(-14))**(-2\/13) assuming z is positive.\nAnswer: z**(-298\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -33 (b) 1 (c) 0.09 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 134473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12092 and 324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -89*r**3 + 64*r**2 - 29*r - 33. Determine o(1).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16871, 1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 775 + -775.5. What is the closest to -9 in 4, n, 0.2, 1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - v = -6, -3*r - 19 + 41 = -5*v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 56871?\nAnswer: -56868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**3 + 25*t**2 + 19*t - 9. Calculate a(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhmpmti. What is prob of sequence mt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -5\/4. Let n = 0.012 + 2.988. Which is the smallest value? (a) l (b) n (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 4*f + 13, -4*g + 0 + 1 = -3*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -468.7 - -466. What is the fourth smallest value in -5, 1\/3, x, 2\/13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**4\/4 + 10*a. Let m(d) be the second derivative of 0*d**2 + 1\/12*d**4 + 0*d**3 + 0 - d. What is m(j(n))?\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 0) + (-19 - (-70 + 46))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0) + (-35 - -41).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2991 + 10430. List the prime factors of p.\nAnswer: 13421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14405 + 14403. Put 424, -3, g, -0.1 in ascending order.\nAnswer: -3, g, -0.1, 424","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wttdtlilli. Give prob of sequence itlt.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 751086 - 155933 = 13*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, x: 7}. Give prob of picking 3 v and 1 x.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + a = -8162. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -k + 4, -4*s + 6 = 5*k - 0*k. Find the first derivative of -22*w**3 - k*w**3 - 5*w**3 + 39 - 25 wrt w.\nAnswer: -87*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 325154*s**4 - 20630*s wrt s.\nAnswer: 3901848*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -1084.7198099?\nAnswer: 1085.7198099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -11. Is 14 a factor of (-99)\/(-2) - (-6)\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, -3, 20, -22.\nAnswer: -92, -22, -3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*-10*2\/(-16). Suppose y*x + 1 = 4*l, -x + 4 - 17 = -4*l. Solve l*w = -w - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 - 3*a - 4*a + 0*a**2 + 4*a**2 - a**2 - 2*a**2 + (-a**2 - 3 + 3)*(-2 - 2 + 6).\nAnswer: a**2 - 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*w - 86 = 258*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a factor of 844974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8d1a (base 16) to base 11\nAnswer: -25159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 10:06 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12\/119 + -1606\/595. Let o = 9.2 - 9. Put o, 2, 0.4, z in decreasing order.\nAnswer: 2, 0.4, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 3003 (c) 3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*c = -3*h - 23, -3*c - h = -19. Suppose -t + c = 3*t. List the prime factors of 152\/5 + t\/(-5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3501.815 + -3582.2. Let h = 20.717 - l. Let u = 101 - h. Round u to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 8*h + 4. Let v(n) = -n**2 - 14 + 13 - 20 - 18*n. Let d be v(-17). Is x(d) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 1, 130, -18, -3, -96 in decreasing order.\nAnswer: 130, 3, 1, 0, -3, -18, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -4*w - 4*b, -37 = 561*w - 558*w + 5*b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 270555571 less than -0.7?\nAnswer: -270555571.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5122489 by -1.\nAnswer: -5122489","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.9235345l in millilitres?\nAnswer: 923.5345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -905 divided by 5?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*m + 26172 = 125622. List the prime factors of m.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 + 13745.6568.\nAnswer: 13745.7468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2720 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71 + 15?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*z = -18. Let o = -5 + z. Calculate the remainder when 10 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, -379.7, 58, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -c0d?\nAnswer: c0f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 352058 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/3 (b) -0.05 (c) -329\/410\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-3)\/12))\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 39578*t - 1108182. Calculate y(28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 15*t**2 + 5*t + 74. Let o be x(-15). Let j = -25 - -24.4. Let f = j + 1.9. Which is the third biggest value? (a) o (b) f (c) 1\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/19)\/g**16 assuming g is positive.\nAnswer: g**(-307\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 6*r**2 - 10*r + 12. Let i be q(3). Let x be (4 - -71)\/5*3\/i. What is the greatest common factor of 40 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-10))\/((-12)\/(-15)). Let l = 11.876 + -13.376. What is the closest to 0.1 in 1, g, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 12*k + 408. Let r(z) = -z**3 - 3*z**2 - z + 6. Let m be r(-5). Let s = m + k. Calculate the greatest common factor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*u**4 - 1176*a**3*u - 904*u**5 wrt u.\nAnswer: -12*a**3*u**2 - 18080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7 and 25.44265983.\nAnswer: 32.44265983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062915872 rounded to four dps?\nAnswer: -0.0629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 6*w**2 + 6*w. Let g be y(5). Suppose -3*f - 5*d - g = -2, 5*f - 4*d + 5 = 0. Let x be f + 10\/(-4)*-2. Solve 3*k + 2 = x*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 37*b + 1084. Let l(v) = 62*v + 2170. What is -5*j(o) + 3*l(o)?\nAnswer: o + 1090","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, -12, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6572 and 795560.\nAnswer: 1307105080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**6\/420 + 3*r**5\/35 - 9*r**4\/7 + 72*r**3\/7 + 3*r**2. Determine s so that c(s) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/32 + (-90)\/(-8). Suppose -b - 3 = 2*h, 5*h = -b + 6*h + k. Solve -3*g - 2*g + b = -3*v, -2*v - 6 = -4*g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -742\/3, -0.4, 2\/15, -0.64?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*j = 117*j + 5*b + 35, 3*b = -2*j - 21. Let w(z) be the third derivative of -7\/6*z**3 + j + 0*z + 6*z**2 + 1\/60*z**5 - 3\/8*z**4. Give w(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 - 3*c**2 - 2*c**2 + 4 - 4 + c**2 + (1 + 3 - 6)*(-4 + 4 + c**2) + 0*c**2 - c**2 - c**2 + (-71 + 71 - 16*c)*(c - 5*c + 3*c).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1928.036 - 1935. Let g = l + -0.036. What is the smallest value in 2\/5, 4, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**3)**(-2\/13) assuming y is positive.\nAnswer: y**(4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56258942807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 60. Let f(m) = -3*m**2 - m**2 - 9*m**2 + 12*m**2. Give l(f(k)).\nAnswer: -k**4 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + -39. Suppose -2*l - 1 = 5*i - 16, -2*i + u = l. Suppose -4 - 2 = -3*y. Put y, l, -4 in descending order.\nAnswer: y, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 5*j + 10. Let n = 6 + -6.3. Sort 4, n, j in ascending order.\nAnswer: j, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 25*w + 32. Let p be i(24). Calculate the highest common divisor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -466*(4 - (-1 - -7)). What is the first derivative of -972 - 10*h - 4*h + n - 15*h wrt h?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 0*w + 5*w**2 + 1\/12*w**4 + 0 + w**3. Calculate k(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5637341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a = 24*a - 96. Let l be ((-8)\/(-14))\/((-8)\/a). Is l <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 110*r**2 + 5*r - 2. What is the hundreds digit of d(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 + 289*p + 35916. Give f(-80).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(17\/((-1530)\/75))*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -z - 0. Suppose -3 = -2*m + z. Let a = m - 0. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 16) to base 7\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v. Let d(k) = 5*k**2 + 9*k + 10. Let j(w) = -3*w**2 - 4*w - 4. Let c(l) = -2*d(l) - 5*j(l). Give t(c(g)).\nAnswer: 25*g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22625, 23698, 24787, 25892?\nAnswer: 27013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z. Let o = -601 + 612. Let j(w) = 98*w**2 - 17 - 7 - o + 34. Determine j(s(c)).\nAnswer: 882*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18005458 and 5?\nAnswer: -90027290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21267 is divided by 10387.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17482?\nAnswer: 2, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/700 and 73\/116100.\nAnswer: 812700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/3)\/(7095\/(-34529))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3627 - 3626.8. Which is the closest to w? (a) -0.4 (b) -0.06 (c) 4.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-968)\/(-220) - 2\/5. Suppose -4*w + w = -r + b, -r + 16 = 3*w. Solve -r = 7*o - 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**5\/10 + 3*z**4\/4 - z**3\/6 - 12*z. Let k be s(4). Let u(i) = -i**3 + 12*i**2 + 12. What is the tens digit of u(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, v: 1, s: 2}. Give prob of sequence rrr.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1866 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.4 (b) -2 (c) -0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -7 (c) -145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -434262*b**2. Let h(z) = 21*z**2. Calculate h(a(i)).\nAnswer: 3960253177524*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 115 + 34?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000140638 rounded to six decimal places?\nAnswer: -0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10414 and 0.03.\nAnswer: -312.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (3 - -3) - 2. Let a(f) = 4*f**2 - 5*f + 5*f - l*f**2 + 2 + 8*f. Determine a(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.9614 weeks in milliseconds?\nAnswer: 98559054720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1623995 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26459481 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {i: 2, a: 5, b: 2, k: 11}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*x = 38. What is the common denominator of (x\/55)\/(6\/45) and 89\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -12. Let h = v + 34. Let x = h + -1. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166.1*0.4\nAnswer: -66.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, a: 2, k: 3, e: 3, h: 1}. Give prob of picking 2 a.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-14 + 27 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4211528183 rounded to the nearest 100000?\nAnswer: -4211500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*f**3 + 19*f**2 - 30111*f - 30101*f + 60222*f + (0*f + 5*f - 3*f)*(0*f - 2*f**2 + 0*f) to u*f**2 + q*f + i + x*f**3 and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -5*o - 17, -11*c = 5*o - 7*c + 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m + 8 + 4*m + 5*m + 0*m - m + 7*m + 2*m - 4*m + m + (6*m - m - 3*m)*(-3 - 2 + 3) - m + 0 + 0 + 2*m + 0*m - 4*m.\nAnswer: 10*m + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*m**3 + 5*m**2 + 16*m**3 - 30*m**3 wrt m?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -306*s - 85*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2. Let f(h) = 249*h + 10. Let s(t) = -122*t - 5. Let c(b) = -3*f(b) - 5*s(b). Calculate n(c(q)).\nAnswer: -18769*q**2 - 1370*q - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 + -0.52. Let i = q + 1. Which is the second smallest value? (a) i (b) 0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j*j**(-2)*j)\/j*j*j**1\/j*j)\/(j**(2\/13)\/j**13))**(4\/7))**42 assuming j is positive.\nAnswer: j**(4632\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*f - f + 3*d, -2*f - 5*d + 29 = 0. Solve 4*p - 10 = -f*z, 0 = 4*p - 2*z + 14 - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 11:40 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 442406?\nAnswer: 442405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1957*g + 4396. What is the ten thousands digit of v(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/218580 and 79\/1530060.\nAnswer: 1530060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3533, 7066, 10597, 14126, 17653, 21178?\nAnswer: 24701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 3\/5 (b) -31 (c) -6\/113 (d) 0.3 (e) 5 (f) 4\/3 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 3:14 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250 and 17950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*x + 3*x - 3 = 0, -3*x = -r + 1. Suppose 2*v = 5*q + 15, -3*v + 0*q = 2*q + 6. Let n be v\/(-1) - r - -1. Solve n = i - 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x**2 + 6496 + 4*x**2 - 11*x**2.\nAnswer: 5*x**2 + 6496","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 + 0.44. Let l = 3.93 - -0.07. Put l, h, 0 in decreasing order.\nAnswer: l, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 7:49 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*q + 3*l, 2*q - 2*l - 2*l = -2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4086.8 + 4086. What is the second biggest value in r, 10\/3, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 13) + (-25 - -32) - -12 - 24.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r + 30 - 511. Suppose -x - 110 = -r. Let t = 105 + x. Calculate the remainder when t is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (453\/(-135))\/(-14*81\/45) and 53\/21.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285630783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 75*z + 4. What is v(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 458*y + 1864.\nAnswer: -2*(y - 233)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5057 + -10434. Let v(c) = 524*c + 2. Let x be v(-7). Let j = x - m. Is j 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 2:41 PM and 10:17 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -80. Suppose n + n = a. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1111790, -2223624, -3335456, -4447286, -5559114, -6670940, -7782764?\n\"Answer: l**2 - 1111837*l + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g + 0 + 0. Let f(j) be the third derivative of 0 + 3*j**2 + 0*j + 0*j**3 + 1\/8*j**4. Determine f(w(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -2*y + 5*b, 9*y = 10*y + b + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13746 is divided by 254?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 263606244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/27678 and -89\/11862.\nAnswer: 83034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ululuuuuluuuullu. What is prob of picking 4 u?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.1 and -110471 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r = 17605 - 17749 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n - 12. Suppose -4*r - r = -10. Suppose -f = -b + 46, -r*f = -n - 7. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t**3 - 61*t**3 + 14*t**3.\nAnswer: -69*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -462*n + 28225. Give m(61).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 7:19 PM?\nAnswer: 513","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 3:44 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2942152 + -2942280.0081. Let h = -128 - d. Round h to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 203, 202, 201, 200?\n\"Answer: -s + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - (31 + (71 - 124))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256124 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**5\/20 + 5*p**4\/12 - 5*p**3\/6 - p**2\/2 - p + 10. Calculate j(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9809*s**4*y**2 + 3*s**4*y + y**2 + 962*y + 56 with respect to s.\nAnswer: 39236*s**3*y**2 + 12*s**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -34.3. Let o = d + 14.3. Let l(q) = q**3 - 5*q**2 - 7*q + 6. Let c be l(6). Put -1, 5, o, c in descending order.\nAnswer: o, 5, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-10)*((-96)\/9)\/(-8)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210068532.\nAnswer: 2, 3, 163, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1450.10463 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.208648 months to years.\nAnswer: 2.434054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 318, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 0 + 1\/15*a**5 + 9*a**2 + 1\/60*a**6 + 0*a - 1\/12*a**4 - 2\/3*a**3. Factor v(b).\nAnswer: 2*(b - 1)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 9*i + 30. Suppose -5*p + 123 = -p + z, i*z + 34 = p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 575 = 5*k, -9*k = -10*k - 3. Is w a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g. Let o(x) = 6*x + 1. Let r(w) = o(w) + 5*t(w). Let f(i) = -i**3 - 8*i - 9. Determine 2*f(b) + 18*r(b).\nAnswer: -2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 + 4 - 4)*(-37*i - 5 + 2 + 3).\nAnswer: 111*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-70)\/(-20) - 9)\/(1\/2). Let a(y) be the second derivative of y**4\/6 - y**3 - 5*y**2\/2 + y. Let u(j) = 5*j**2 - 17*j - 14. What is i*a(o) + 4*u(o)?\nAnswer: -2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9336856*j + 8 - 9336858*j + 1. Let x(b) = b**2 + b + 6. Let u be x(0). Give m(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5*u + 50, 42 = 4*t + 5*u + 11. Suppose 3*s - 8 = s. Suppose -s*v = -3*v - 81. What is the highest common factor of v and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617802 a multiple of 733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/1 - 0 - -3. Suppose 0 = n*v - v. Suppose -106 = -4*d - a - v*a, -4*a = 8. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 + 0)*(-1 - 1 - 1)*(1 + 4 - 2)*(2 - 1 - 2)*(-3*q - 3*q + 4*q).\nAnswer: -144*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 3*k**2 + 10*k - 22. Calculate the remainder when 59 is divided by s(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -315 in descending order.\nAnswer: 3, -4, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 5*v**2\/2 + 14*v + 514. Determine i(-9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -9, -5\/6, 1\/8, 0.44, 2, -5\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*4\/70*(6 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 99*d - 620. Give g(-105).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002411425 to 6 dps.\nAnswer: -0.000241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31378580 by -54101.\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/((-15)\/8)*-3. Let i = 156 - 84. Calculate the highest common divisor of b and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 17416650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2444241 + -344?\nAnswer: 2443453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-3))\/(((-135)\/(-9))\/45).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -358 - -10741\/30. Let o(z) be the third derivative of 0 - z**2 + 1\/12*z**4 + 0*z**3 + v*z**5 + 0*z. Find the second derivative of o(j) wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -9*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123145779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b. Let z(n) = -n**2 + 8*n - 10. Let m(r) = 2*j(r) - z(r). Let w be m(10). Suppose -3*l = -w + 2. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 13290.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33385 + 9982169\/299. What is the common denominator of 77\/195 and y?\nAnswer: 4485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 850093 in decreasing order.\nAnswer: 850093, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 5:12 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 15 = -5*y, 3*y + 4*p - 9 = 7*p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3374*h**2 - 10719*h*y**2 + 122909461*y**2 wrt h?\nAnswer: -6748*h - 10719*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -45245 (base 6) in base 7?\nAnswer: -24362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13 - (-3)\/(-3)) + -1. Suppose -i = -5*r - 1. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2517460 to the power of 1\/2, to the nearest integer?\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68\/9 - -281\/36. Factor -1\/4*t**3 + 0 + 0*t + v*t**2.\nAnswer: -t**2*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 348 + 560. Calculate the remainder when o is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*a**3 + 2*a**2 - 204*a wrt a?\nAnswer: 390*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 162591 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = -33*b - 160 - 176 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - l**3 - 17*l + 11*l + 1 - 1 - 3*l**3 + (3*l**2 - 5*l**2 + 0*l**2)*(-4*l + 0*l + 2*l).\nAnswer: 3*l**3 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*y**5 + 67129*y**3 + 6943*y**2 - 178.\nAnswer: 300*y**2 + 402774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 69. Suppose -m*a - 4*i = -2*a + 6, 3*i = a - 12. Let 6\/5*n**a + 2\/5*n**4 + 2\/5*n + 6\/5*n**2 + 0 = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 10, u: 2, o: 2}. Give prob of sequence rr.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -12.7. Let d = h + 7.3. Let y = -5 + d. Is y less than or equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.347 - -0.037. Let c = 1.31 + q. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**4 - 148*n**3 + 5520*n**2 = 0. Calculate n.\nAnswer: -60, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -30*p**2 + 6*p + 7. What is i(-2)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103431.872 - 103449.8720022. Let n = -18 - l. What is n rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3768804 and 312.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6633998 take away 77559997?\nAnswer: -84193995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 5 = h - 0, 0 = -5*r - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -410, 58, -2, 4, 5.\nAnswer: -410, -2, 4, 5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 10. Suppose -g - f + u*f - 2 = 0, 5*f = g - 1. Let r be (3\/(-2))\/(-1 + g\/(-8)). Solve -r*a + 2*b - 2 = a, 3*a = -2*b + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.366485ug in nanograms?\nAnswer: 2366.485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 11:09 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - z - 7*z)*(-2*z + 3*z - 3*z)*((-z + z - z)*(-1 + 0 + 4) + 4*z - 4*z - 2*z).\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5548030, -11096050, -16644068, -22192084, -27740098, -33288110, -38836120?\n\"Answer: s**2 - 5548023*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2331200033 (base 4) in base 15?\nAnswer: -104ec2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82062946099527.000013 + -82062888641270. Let b = -57458234 + u. Let c = b - 23. Round c to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + -2 + 2)\/2. Suppose -w*l + 5 = -10. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 12 = -6. Suppose -w*u = -3*m + 540, -5*m + 41 + 859 = -u. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6) + 1353\/(-4005). Let u = -14611938 - -19506935456\/1335. Let l = w + u. Which is the second smallest value? (a) 0.4 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -2 - (4 + -9) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -10*f - 48, 38*f - 37*f + b + 3 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 3. Suppose -16 = 5*w - 116. Suppose -o = 3*o - w. What is the remainder when o is divided by h(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7.4554851273 from 0.\nAnswer: -7.4554851273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10112 + 2432?\nAnswer: 13044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 16?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + (-4*(2 + sqrt(147) + -2 + sqrt(147)) - (-5 + (5*-5*sqrt(147) + sqrt(147))**2))).\nAnswer: 280*sqrt(3) + 423360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 0.1685?\nAnswer: 4.8315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 78788890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 3*j + j + (-4 + 2 + 4)*(3*j - 3*j + 2*j) + 2*j + 2*j - 3*j + 5*j - j - 2*j + 14*j + 39*j - 21*j.\nAnswer: 42*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*j**2 - 39*j**2 + 104*j**2 as n*j + h*j**2 + c and give h.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34182 by 3.\nAnswer: -11394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w**2 - w**4 + 8*w**2 + (6 - 1 - 2)*(0*w**2 + 0*w**2 - 2*w**4) - 54*w**2 + 54*w**2 - 11*w**4)*(4 - 3 + 2).\nAnswer: -54*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*y + 74*y + 26*y**3 - 27*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o + 7. Let r be ((-9)\/18)\/(1\/2). Let j(m) = 1. Let a(y) = r*u(y) + 4*j(y). Calculate a(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 1\/2*t**2 + 6 - 5\/4*t**4 + 0*t - 1\/3*t**3. Let r(o) = -o**3 + 6*o**2 + 7*o + 1. Let b be r(7). What is k(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s - 4. Let m be f(-6). Let v be (2\/m)\/((-3)\/(-12)). What is the common denominator of 28\/3 and (8\/(-96))\/(v\/74)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1207 divided by 17\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61057 by -272.\nAnswer: -61057\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 8*c**2 - c - 1. Let i be v(-8). Let b = i - 1. Factor 4*d**2 - 5*d + b*d + d**3 + 3*d.\nAnswer: d*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42298359?\nAnswer: 3, 293, 48121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -44. Let i be (-6)\/q - (-48)\/21. Suppose i*a - 124 = -3*g + a, 2*a - 125 = -3*g. What are the prime factors of g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 630*q**3 + 6340*q**2 - 1018680*q - 4137120.\nAnswer: 5*(q - 34)*(q + 4)*(q + 78)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12403 and 471?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 11) to base 14.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1.7. Which is the second smallest value? (a) -3 (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q. Let v(d) = 39*d**2 - 195*d. Let o be (176\/(-48))\/(11\/6). Calculate o*v(u) - 390*l(u).\nAnswer: -78*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = -15, 3 = -2*f - 3*l. Let t = -26\/3 - f. Suppose -4\/3*z**3 - 4\/3*z + 2*z**2 + t*z**4 + 1\/3 = 0. Calculate z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 5*u + 5. Let i(t) = t**2 + t. Let d(r) = 2*i(r) - n(r). Let o be d(5). Solve o*h + 30 = 3*b, -3*b + 2 = 3*h - 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503992 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 31. Let g = f - 9.1. Which is greater: g or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*b - 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3756*q. Let f(m) = -4*m. Determine f(x(b)).\nAnswer: 15024*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -499, -4, -75, 4, 0, 2, 1 in descending order.\nAnswer: 4, 2, 1, 0, -4, -75, -499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*p - 13*p - 8*p**3 + (-2*p + 16*p - 2*p)*(3*p**2 + 5*p**2 - 2*p**2) + 4*p**2 - 4*p**2 + 2*p**3.\nAnswer: 66*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1092422, -4369639, -9831662, -17478485, -27310102, -39326507?\nAnswer: -53527694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 5*z**2 - z + 7. Let b be ((-2)\/(-3))\/(4\/150). Suppose g + b = 6*g. Let p be n(g). Solve 0 = 3*d + p*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 0*z + 0*z**3 + 128*z**2 + 0 + 1\/60*z**5 + 1\/40*z**4. Factor d(j).\nAnswer: j*(5*j + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m. Suppose -5*w = -2 - 18. Suppose -4*f = 6*p - 2*p - 4, w*f - 16 = -p. Let r(h) = 3*h - 7*h + f*h. Calculate y(r(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/7)*j)\/j)\/j*(j\/j**(-5))\/j*j)**20 assuming j is positive.\nAnswer: j**(720\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j + 4*j + 6*j + (1 - 2 + 2)*(2*j + 0*j - 3*j) - j + 2 - 2)*(-9 + 9 - 8*j**2)*(15 - 9 + 11).\nAnswer: -2040*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*p + 2338 = 362*p - 246 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*z = 177*z + 168*z + 4*s + 4, 0 = 5*z - 4*s + 116 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -11 (b) 0.5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 102?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -26*y**2 + 31*y + 65. Let j(l) = 9*l**2 - 10*l - 25. What is 8*j(q) + 3*u(q)?\nAnswer: -6*q**2 + 13*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1\/x)\/(x*x**(-6)))\/(x*x**3*x*x*x**(-1))*(x**(-2\/5))**(-1\/4)\/((x\/(x**6*x))\/(x\/(x*x**(-5)))) assuming x is positive.\nAnswer: x**(111\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*m + 23*m + 24*m + 16*m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*v**4 + 16*v**3 - 1221 wrt v.\nAnswer: -44*v**3 + 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 478240228 to the power of 1\/3, to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 7:42 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (441\/9)\/(0 + -1). Let b be -1*166\/2*1. Let s = w - b. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1099622 and -0.17?\nAnswer: 186935.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 8*j**2 - j - 53. Let s be z(-7). Suppose -1 - 17 = 3*x. Let g be (-4 - x)\/(s + 2). Which is the biggest value? (a) g (b) -1\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 n, and 1 b when four letters picked without replacement from nnniignbbnrbrnnnbgg.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -278.763 + -0.237. Let i = x + 278. Which is the nearest to i? (a) -0.5 (b) 0 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1293145 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1540865537.\nAnswer: 1540865537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**3\/2 - 22*s**2 - 3*s. Let k be o(-16). Find the second derivative of 38*x**4 - x - 18*x**k + 13*x**4 wrt x.\nAnswer: 396*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-2)\/(-1 - -3)). Suppose -4*t - 4*x = 36, -7 = 3*t - 2*x + x. Let s be (2 + t - 0) + 1. Is i less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*u**3 - 1226*u**3 - 577*u**3.\nAnswer: -1497*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4722, 18801, 42272, 75141, 117414?\n\"Answer: w**3 + 4690*w**2 + 2*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.7251 and 40.82.\nAnswer: 111.238582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53304 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 97*f**2 - 2*f + 3. Let g be v(2). Let s = 390 - g. Solve -5*l - b - 25 = 0, 24 = -l - s*b - b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721821?\nAnswer: 3, 240607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*a**3 - 73*a**3 + 100*a**3 - 256*a**3.\nAnswer: -303*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 at most as big as -1.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/253 and 45\/2576.\nAnswer: 28336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 1:01 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rffrrffrfrffffff. What is prob of sequence fr?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*x = 254*x + 32*a + 39 + 22, -4*a + 9 = 3*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/102 and -8\/51.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 78 = 2*y, -68 = 4*h - y - 16. Is 14 a factor of (-388)\/h - 8\/(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1295968228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134674\/7 or 19239?\nAnswer: 19239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 36 = 21*s + 32 + 5 + 52, 62 = x - 15*s for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**3 - 2*a**2 + 15*a - 8. Let q be m(4). Let l = -157 - q. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q - 48*q - v + 73 = 0, -q - 3*v - 1 = 0 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 5*v + 1. Let w be r(2). Calculate the common denominator of (-1)\/w*490\/12 and 828\/12*(-3)\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*m - 3*m - 3*m + (-5 + 5 + 2*m)*(5 - 5 + 6) to l*m + y and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3 + 224*c**2 - 50259*c - 1500606 = 0. What is c?\nAnswer: -354, -27, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 530, 525, 518, 509, 498, 485?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*x**3 + 52*x**3 - 25*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1157 + -156. List the prime factors of a.\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**8\/x*x**5)**(2\/27) assuming x is positive.\nAnswer: x**(26\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2782 + 6101\/2. Let v = -3233\/12 + a. Find the common denominator of 1\/9 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*k - 68991 = -9*d, 4*d + 3*k - 68993 = 0. List the prime factors of d.\nAnswer: 47, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -26*o**2 + 11*o + 30. Let n = -67 + 64. Let j(i) = 9*i**2 - 4*i - 10. Let r(x) = n*c(x) - 8*j(x). What is the tens digit of r(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 9 = -19*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/11 and -59\/626.\nAnswer: 6886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 11 + 1)*(-9 + 76 + 31)*(4*q - 2*q - 3*q).\nAnswer: -1176*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -152.50873538 to the nearest integer.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 94078*z. Let v(d) = 60*d. What is o(v(p))?\nAnswer: 5644680*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*t - 338, -t + 43*x - 40*x + 149 = 0. What is the remainder when 173 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 13*y + 42 = 0. Let k = y + -2. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - (3 + 27) - (-1 + 20).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6184638 a multiple of 850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -427*i**6\/2 - 15*i**2\/2 + 3*i - 1359. What is the second derivative of p(j) wrt j?\nAnswer: -25620*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/4113 + -12299\/41130. Which is the closest to 0? (a) -0.1 (b) 4 (c) 1\/4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12141 + 2364. Let k = -586633\/60 - u. Calculate the common denominator of 1 + (-297)\/24 + -1 and k.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-147)\/28*159\/(-5565).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = c - 11, 0 = 4*w - 4*c - 5652. Let b = -890 + w. Is 74 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -37*f**2 - 3*f. Suppose -z - 4*z = -3*m - 40, 3*z - 10 = -m. Let n be k(z). What is n rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 11. Suppose 12 = 5*z - 3*y, -r*y = -3*z - 5*y + 12. Suppose 2*a - 6 = -g + z*g, -g = 5*a + 3. Let u(b) = -2*b - 4. What is u(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85 + 0 - (5793 + -5724)) + (-1 - 29).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-10)*(-28)\/(-63).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 782 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 193 * 0.07.\nAnswer: 13.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 14 + -1 + 0 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19 + -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 660585.5 millilitres to litres.\nAnswer: 660.5855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 855.\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**6\/240 + l**4\/6 - 2*l**2. Let w(n) be the second derivative of z(n). Suppose 2*y = -3*k + y + 6, 0 = -2*y + 6. Give w(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 2 = 4*a. Suppose -d - 52 = -3*s, -a*s - s + 62 = -5*d. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.2764 and -0.1.\nAnswer: -1.02764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 5*p - 3*p)*(3*p**2 - 2*p + 2*p)*(-1 + 0 - 1)*(-16 + 1 + 0)*(2*p - 2 + 2).\nAnswer: 180*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 119.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1414?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(8)*1 + -1 - (sqrt(648) + 2*sqrt(648) + -4)) + 1)**2.\nAnswer: -312*sqrt(2) + 5417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 759 and 365871.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6*(-6 + 0) - 4. What is the biggest value in 2\/15, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 5. Let w be j(-6). Suppose 0 = d + d - 8. Suppose q - d*q = 0. Sort -2, w, q.\nAnswer: -2, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1386 at most as big as 6934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1184894.\nAnswer: 2, 389, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 68.\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5)*(-485)\/(-388).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 7\/180*b**6 + 0*b**3 + 0 + 0*b + 25\/27*b**4 - 1\/945*b**7 - 47*b**2 - 4\/9*b**5. Factor v(q).\nAnswer: -2*q*(q - 10)**2*(q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (919\/3)\/(118 - (13 + -7)). Let d be 13 - 11 - (-113)\/(-48). Let h = d + f. Calculate the common denominator of h and -68\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 9:11 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a1 (base 15) to base 14.\nAnswer: 13dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28499 - 28270. What is the third smallest value in 4, 2\/3, 0, 0.1, x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 42*i - 54*i + 190, 6*f - 3*i + 455 - 50 = 0 for f.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -35*(0 - 10\/25). Suppose -3*d + r = -97. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-4)\/(-2 + 3). What is the third derivative of 0*u**4 + u**4 + 0*u**4 + 3*u**k + 3*u**2 wrt u?\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 47 = -235. Let r = j + -13. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3)*(-8*t + 9*t + 6*t) in the form p + n*t and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 14962\/3 in increasing order.\nAnswer: -2, 6, 14962\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1972 divided by -1551.\nAnswer: -1972\/1551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -36. Let q = s - -14. List the prime factors of 2\/q - (-256)\/18.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -201.1959315 to one dp.\nAnswer: -201.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 37*c - 164. Let m be p(-41). Let x be (-1 + -2)\/((-15)\/20). Suppose x*z + m*z = 188. What are the prime factors of z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 22*j**2 - 40*j + 10. Let t(n) = -2*n**2 + 4*n - 1. Let g(b) = -d(b) - 10*t(b). Let q(v) = -18*v - 1. Determine q(g(m)).\nAnswer: 36*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i - 3. Let u be n(-4). Suppose -2*s + 3*s = 0. Let h be s\/(-2) + 1\/4. Which is the closest to h? (a) -3 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f**2. Let j(d) = d - 12. What is o(j(l))?\nAnswer: -5*l**2 + 120*l - 720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) -3 (c) 0.25 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6775787a - -5?\nAnswer: -67757875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**6\/30 - l**5\/12 - l**4\/36 + 5*l**3\/18 - l**2\/3 + l + 4. Let o(q) be the first derivative of a(q). Factor o(m).\nAnswer: (m - 1)**2*(m + 1)*(3*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(875) - sqrt(875)*2)\/(sqrt(15)\/sqrt(3)*-1))**2 + ((sqrt(693)\/(sqrt(11) - sqrt(33)\/sqrt(3) - sqrt(11)))**2 - (sqrt(5103)*-1 + sqrt(5103))).\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 397950, 397804, 397658?\nAnswer: 397512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(200) + -1 - -5*(1 + sqrt(200))**2) + ((sqrt(200) + sqrt(200)*-2)*-1 - 1*(-1 + sqrt(200))).\nAnswer: 110*sqrt(2) + 1010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -17. Let x = 22\/101 + 1879\/1111. Find the common denominator of ((-196)\/(-6))\/((-6)\/h) and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300*s - 5366 = 314*s - 23786. Solve 32*k - 2 = s*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/10*5\/30. Put o, -8, -0.2 in decreasing order.\nAnswer: o, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2959744.69 - -2.\nAnswer: -2959742.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/28 and 73\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 1, u: 1, w: 1, t: 1}. What is prob of sequence ta?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9836 and 3404.\nAnswer: 3348.1744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38781.0036 - 38792. Let v = -11 - b. What is v rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16031*r - 64129*r - 1 + 16032*r + 16033*r + 1 + 16029*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -5 (c) 4 (d) 0.4 (e) -27\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(4\/11)*u)**(2\/7)\/(u**(-12))**(4\/9) assuming u is positive.\nAnswer: u**(1388\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 15 = 6*n. Let t be (-1 - 0\/n)*0. Suppose u = -u - 3*s + 15, t = -4*u + 5*s + 63. Calculate the smallest common multiple of 10 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10600325 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66828 + 4*f**2 - 4*f**2 + f**3 + 2*f - 66925.\nAnswer: f**3 + 2*f - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 - 8*g + 9. Let b = 6 - 0. Let j = -26 + 38. Calculate the remainder when y(b) is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*l - 47 - 19, -5*o - 70 = -4*l. Suppose -5*p = -2*p - l. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*s = -331*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 6)*(2*n**2 - 4*n**2 + 0*n**2) + n + 321*n**2 - 669*n**2 + 300*n**2 as k*n + l + x*n**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100101 (base 2) to base 4.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141174?\nAnswer: 2, 3, 11, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2036653?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37468, -41369, -45270, -49171, -53072?\nAnswer: -56973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*x + 7*x + 11*x - 250. Let p(w) = -4*w**3 - 13*w**2 - 5*w. Let j(s) = -2*s**3 - 7*s**2 - 3*s. Let i = -7 - -4. What is i*p(u) + x*j(u)?\nAnswer: 2*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -539 + 4071. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q. Let b = -54303 + 207223. Let v(x) = b*x - 152920*x - 57*x**2. Calculate v(k(d)).\nAnswer: -513*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 10, b: 10}. Give prob of sequence lbb.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10422641?\nAnswer: 37, 43, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -37004*n + 1. Let r(s) = -s. Let m(a) = d(a) - 3*r(a). Let u be m(1). What is u rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/66)\/((-2)\/8). Let a(d) = -12*d**2 + 144*d - 1. Let t be a(12). What is the nearest to t in -2, i, 8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30536069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8671799 litres in millilitres?\nAnswer: 867.1799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**4 + 7*c - 10*c - 5*c**4 wrt c.\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwjwmjjmffjjmwjdfjj. What is prob of sequence mwd?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p + 6. Let a(l) = -2*l + 3. Let j(y) = 2*a(y) - u(y). Let i(o) = -327*o. What is j(i(x))?\nAnswer: -327*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-238))\/(15\/21).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-98) - (-48)\/126?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 7. Let s be a(-5). Let u(v) = 7*v - 12. What is the least common multiple of u(8) and 20\/(-1*s\/(-2))?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*d**2*o**2*s**2 - 75*d**2*s**2 + 57*d*o - 318*o**2*s**2 - 2*o*s**2 wrt o?\nAnswer: -28*d**2*s**2 - 636*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 8:40 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*2\/8\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -21*t - 1. Let d be (-3 + -1 - 9)*-20. Suppose -2*x - 2*s = -273 - 253, x = -4*s + d. Let y(r) = -264 - 4*r + x. Determine 2*n(j) - 11*y(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9609 - -9612. Which is the second smallest value? (a) 3\/5 (b) -1\/7 (c) -3\/11 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 + 32 = r - 5*t, -3*r = 5*t + 311. Let b = 192 + r. Let n = -123 + 139. Calculate the highest common divisor of b and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11557732131 + 7.\nAnswer: 11557732138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b + 1996. Let m(k) = -31*k - 9981. Give -14*h(z) - 3*m(z).\nAnswer: -5*z + 1999","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iviwiyckivvyvvvwcivy. What is prob of sequence ykc?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = 2*q + 2*g - 4, 3*q - 9 = -4*g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2565 divided by -5.\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1100 and 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -471*l + 9 + 13*l**4 + 471*l wrt l?\nAnswer: 52*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5069 minus 5207?\nAnswer: -5206.4931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8712.00249012 - -8712. What is c rounded to five dps?\nAnswer: -0.00249","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Suppose x*f = 73 - 13. Calculate the highest common factor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3450420?\nAnswer: 2, 3, 5, 29, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -41, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3*i, -2*w = -6*w - 2*i + 4. Suppose -4 = -t - w*t. Find the second derivative of -7*n**2 + n - t + 1 + 5*n**2 wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 425\/6 + -71. Let v = 13 - 14. Sort b, v, 2 in decreasing order.\nAnswer: 2, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 10 = 3*d, -5*q + 20 = 2*d + 2. Suppose 3*y - 3*a - 25 = -4, -y = 2*a - 16. Suppose 129 = 7*u + y. What is the least common multiple of u and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 871 = -4*o + 869, -3*r + 2*o = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10446533 (base 7) to base 11.\nAnswer: 567239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 + (-1 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 24*x**2 + 33*x + 62. Let l be w(19). What is the greatest common divisor of 168 and l?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3 - -5) + (4 - 1). Let g(w) = -4*w + q*w + 0*w. Let c(d) = 30*d**2. Give c(g(i)).\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15312 and 15275216.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r = -3778 + 418. Calculate the highest common divisor of r and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 15*s**2 + s. Let n(z) = -89*z**2 - 9*z - 2. Let l(q) = 6*k(q) + n(q). Give l(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1938*s**2 + 1615*s - 3230. Let r(m) = -m**2 - m + 2. What is -p(j) - 1615*r(j)?\nAnswer: -323*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 201715.\nAnswer: 1412005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/((-19)\/114).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2805*s + 2802*s = -324. Calculate the lowest common multiple of s and 126.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25356162 and 198.\nAnswer: 836753346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116 - (119 + -23)) + -1 + 24?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -472 (base 11) in base 14?\nAnswer: -2c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 smaller than 227651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7585 divided by 5?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 993371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 33. Suppose -q*o = -8*o. Solve o*t + 3*t - 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -9. Suppose -2*n = -0*l + 3*l - 5, 4*l - a*n + 20 = 0. Is 8 a factor of 8*(-1 - 0)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2393 rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -227 * -18.1.\nAnswer: 4108.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 968306*o**4 + 3*o**3 + 11*o**2 + 534486883*o.\nAnswer: 11619672*o**2 + 18*o + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 9) + (-26 - -4) + 3 - -9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - q**2 + (-2*q + 3*q + q)*(0 + 0 + 2*q) - 4*q**2 + 0*q**2 + 2*q**2 - 2 + 2 + 2*q**2 - 3*q**2 - q**2 - 4*q**2)*(-2*q - 2*q + q).\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001101101011110011111 (base 2) to base 8.\nAnswer: -11553637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 10*s - 4. Let r(l) = 2*l**3 + 6*l**2 - 4*l + 4. Suppose -24*h - 4 = -23*h. Let t be r(h). What is o(t)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-154)\/(-21) + 2\/(-18)*3. Is -6 + 5 + c + 4733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*r = 268*r - 27. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 6*b**2 + 6*b - 7. What is w(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 4:41 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17177 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-33))\/(60\/1980).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqsa when four letters picked without replacement from qoaaoquauaass?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 + 34*x**2 + 34*x + 32. Let w = -17885 + 17903. What is s(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95752599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-3))\/w*w)\/w**(-2\/33))**43 assuming w is positive.\nAnswer: w**(-2752\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 plus -13?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 165833\/6672428 - 23\/2891. Find the common denominator of 83\/36 and r.\nAnswer: 20772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1525278475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5 - 22669269*x**4 + 42824657750829*x**3 - 42824635081563*x**2 = 0 for x.\nAnswer: 0, 1, 3778211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 4*y - 5. Let f be (7 + -2)*((-30)\/5 - -5). Let q be s(f). Let z(m) = 2*m + 2. Let h(b) = b + 3. Let w(k) = 3*h(k) - 2*z(k). Calculate w(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 12 = -3*v. Suppose -o + v = 4. Let p = -197\/4 + 49. Is p less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3888) + (1*sqrt(3888) - sqrt(3888)) - sqrt(3888)) + -2 + sqrt(3888) + sqrt(3888))**2 + -2 + sqrt(3888) + 5.\nAnswer: -252*sqrt(3) + 15559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*o**2 - 109*o**2 + 64*o**2 + 22*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 5. Let v be s(-5). Let t be (v\/4)\/(2\/68). Let c = t - -142. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -107 + 1285?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**3 + 20*a**2 + 61*a - 290. Calculate c(5).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18126*-0.9.\nAnswer: 0.163134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5522.34 - 5521.94000208. Let d = -0.3 - 0.1. Let s = x + d. Round s to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 928, 945, 962?\n\"Answer: 17*c + 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0077122 bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-18))\/((-1)\/50). Let l be -2 - (3*j + 1). Let i = 218\/3 - l. Which is the closest to 0.1? (a) -3 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012739691 to seven dps.\nAnswer: -0.0000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 12785?\nAnswer: -12786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/1153 + 24189\/9224. Calculate the common denominator of d and (-173)\/(-20) - 2\/5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - n - 2*n**2 + 0*n - 1 + (-2 + 3 + 3)*(0*n + 0*n - n**2) - n**2 - 2*n**2 + n**2.\nAnswer: -8*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 + 87. Let d(y) = 2*y - 8. Let j be d(c). Solve j = 3*t + 3*h + 30, 3*t + 3*h + 10 = 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**3\/6 + 2*i. Let g(o) = 2*o. Determine g(f(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 0 - (-155 - -144)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0*n - 2*n)*(129 + 44*n**2 - 129).\nAnswer: -220*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**4\/12 + w**3\/6 + w**2 - 4*w. Let d be n(0). Let v(g) = -d*g - 11 - 2*g**2 - 4 + 17. Calculate v(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6723.754 centuries to years.\nAnswer: 672375.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-1400)*14*-10*2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 4. Suppose 6*k + 4 = -20. Is 20 a factor of q(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7462202.\nAnswer: 2, 11, 59, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from kxxkkkcykyxxkkckxkky?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 86395.26nm in kilometers?\nAnswer: 0.00000008639526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 39*m**2 - 320*m + 962*m - 321*m + 1 - 319*m. Determine z(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 17*w + 150. Let n be g(-8). Suppose -15*q + 366 = -n*q - 4*c, -3*c - 9 = 0. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**2 - 2\/15*t**5 + 0*t + 3\/8*t**4 - 11 - 4\/3*t**3 + 1\/120*t**6. Determine f(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - 2*u - 3. Let h = 44 + -25. Let j be ((-8)\/(-6))\/(5\/(-60)). Let q = h + j. Give b(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 2*v - v + 23*v + 552 - 552 + (-3 + 5 - 3 + (-1 - 3 + 3)*(1 + 0 + 1))*(4*v + v - 4*v + (3*v - v + 0*v)*(2 + 1 + 5)).\nAnswer: -25*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92341, -184682, -277021, -369358?\nAnswer: -461693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892482523?\nAnswer: 1103, 809141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*c - 440 = 2*t - 17*c, -729*t = -727*t + 5*c - 32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) -30 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1514, -1486, -1458, -1430, -1402?\nAnswer: -1374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -674577, -1349151, -2023725, -2698299?\nAnswer: -3372873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a millisecond in microseconds?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*i - 53*i + 154813 = 24*i. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d - 12. Suppose -2*j - 3*j + d*b + 45 = 0, j - 5*b - 9 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -325.5 + 2.7. Let t = f + 323. Which is the second biggest value? (a) 0 (b) 0.13 (c) 0.1 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 115*f - 119*f - 203 = 0, q + 2*f + 49 = 0. Let o(s) = -2*s**2 - 71*s - 45. What is o(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -5*v**4\/2 + 3*v**3 + 10. What is the third derivative of p(s) wrt s?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 5, 4\/41, 1\/55, 4\/13, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 3. Let t = 4 - l. Suppose -2*d - 2 - 15 = -a, 3*d + 57 = t*a. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 - 4*t**2 + 3*t**2 + 2 + 8*t**2 - 2 - 4*t**2 - 3*t**2 + 4*t**2 + (1 + t - 1)*(4*t - 4*t + t) + t**2 - 4*t**2 + 5*t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*j - o - 78, 3*o - 34 = -2*j. Calculate the remainder when 51 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/((-84)\/(-14)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -13*t**6\/6 - t**4\/4 - 55*t + 28. Let o(l) be the first derivative of d(l). What is the third derivative of o(g) wrt g?\nAnswer: -1560*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 7:29 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 148 = 2*w, 4*h - 248 = -h + 2*w. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + -5 - (-66)\/18\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2647.441 decades to years.\nAnswer: 26474.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 396282433 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.541599l?\nAnswer: 7541.599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 10 = -5*y, -6*v - 4*y - 36 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6939 - -7259. Calculate the highest common factor of x and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, r: 1, b: 2, o: 1, f: 5, g: 3}. Give prob of picking 1 f and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 37. Which is smaller: d or -13\/5?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/144)\/(38\/(-57))*-288\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12717 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 5)*30\/(-150)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*o + (-5*o + 3*o - 4*o)*(0 + 2 + 0))*(-2*o + 2*o - o + (22 + 21 - 51)*(2*o - o - 3*o)) as h*o**2 + b + g*o and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79703150?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 4*q + 98 - 32 - 31.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43229956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 9*u - 7. Let h be x(-7). Let v = 733\/7 - h. Let n = 0 - -1. Which is the third biggest value? (a) n (b) 0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-90)\/56) + -3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 2:58 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + s**2 + s - 25. Calculate b(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 35 = -35. Let r(m) = m**2 - m + 5. Let h be r(l). Let b(z) = -4*z**3 + z**2 + 6*z. Let a(u) = -3*u**3 + u**2 + 5*u. Determine h*b(p) - 6*a(p).\nAnswer: -2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65 - -65.2. Let p = 0.06 + -1.06. Let h = p + 0.9. What is the nearest to 1 in h, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1457, 1459, 1461?\nAnswer: 1463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 0 (b) 2\/21 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6635 + -1217?\nAnswer: -7853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/48 and -85\/3084.\nAnswer: 12336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.5 and -0.09791.\nAnswer: -1.028055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 954, 1807, 2660?\nAnswer: 3513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + j**2 - 3*j**2)*((-1 + 2 - 3)*(3*j**2 + 2*j**3 - 3*j**2) - j**3 + 4*j**2 - 4*j**2 - 2*j**3 + 3*j**3 + 2*j**3).\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 11*t**3 - 5*t. Let i(j) = 49*j**3 + 15*j - 39*j + 5*j**3. Let x = -357 - -1029. Suppose -2*k - 26*k - x = 0. Determine k*h(w) + 5*i(w).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 435 = 5*g, 5*g + 94 + 31 = t. Calculate the highest common factor of 56 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttnntnntnee. Give prob of sequence nnn.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 2 - (-35 + 30) - (-35 + 10 + -19)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/(-12) - (1 + 1). Let t = -585\/7 + 84. What is the nearest to -1\/3 in t, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68869\/16 - -4303. Calculate the common denominator of k and -79\/304.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - -40)*(-891)\/(-72) + 2\/(-8)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*b - 688076 - 833107 - 3582816. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/(-33)*9*(-12)\/144*-18?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-2)*(-6)\/(-21). Suppose m + 27 = y*m. Calculate the remainder when m is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(-4\/9)*f)*f**(2\/19)\/f)**21\/(((f\/(f*f**(1\/3)))\/f)**(-43)\/((f\/f**(-6))\/((f**3\/f)\/f*f))) assuming f is positive.\nAnswer: f**(-775\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32160528 to the power of 1\/2, to the nearest integer?\nAnswer: 5671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 455 by -91.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 + -3)*(0 + -36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 10:48 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00566010778 to 6 decimal places.\nAnswer: 0.00566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35708 - -59293. What are the prime factors of h?\nAnswer: 5, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -5) + 2\/(-2). Suppose 0 = -4*p - v*p. Let n(b) = b**2 - 3*b - 3. Let g be n(4). Put p, -4, g in descending order.\nAnswer: g, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 56.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -20*f**2. Let s(h) be the first derivative of 4*h**2 - 49. Determine c(s(i)).\nAnswer: -1280*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aossosoosossaoosso. What is prob of sequence oos?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 8. Let n = -259 + 258. What is the nearest to n in t, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2\/11, 3\/4, 1\/5, 2\/7, -12\/67?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**2 + 4*f + 5. Let s(b) = 26*b**2 + 23*b + 23. Let v(r) = 2*s(r) - 11*y(r). Determine v(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.14 and 103953833628?\nAnswer: 103953833627.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4391 and -117.49?\nAnswer: 4273.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 151470009 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**2 + 12*m**2 + 75*m - 38*m**2 + 15*m**2.\nAnswer: -2*m**2 + 75*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24987.99363204 minus -71?\nAnswer: 25058.99363204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5040 = 22*i + 23*i. Solve 9*r - i = -5*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - (-26)\/6)*1239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**9\/252 + 3*j**8\/112 + j**5\/20 + 4*j**3\/3 - 87*j**2. What is the third derivative of t(w) wrt w?\nAnswer: 240*w**3 + 540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**3 + 109*b**2 - 681*b + 1026 = 0 for b.\nAnswer: 9\/4, 6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*y**3 + 3*y**4 + 65*y**2 + 8 - 22*y**2 - 2*y + 11*y**3 - 42*y**2 in the form a*y + v + g*y**2 + s*y**4 + o*y**3 and give o.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 5) + -10 + 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*l + 2*l**3 + 117 - 339 + 24*l - l**2 to the form u*l**3 + d*l + t*l**2 + i and give i.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -80, 3\/8, 105 in increasing order.\nAnswer: -80, -1\/5, 3\/8, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 + -0.4. Let o = -0.2 + v. Let q = o - 0.5. Are q and 2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 72. Suppose -5*p + 23 = -w + n, 4*p = -2*w + 32. Suppose 4*b = 5*q + 50, w = 5*b - 3*b - 2*q. Solve 0 = 3*s - s + 5*v - 11, -4*s + b = 3*v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1431 is divided by 329.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 153328805 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11702230 from -17629008.\nAnswer: -5926778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -10255?\nAnswer: -10302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -379 (b) 2\/5 (c) -5\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q = o - 14, 0 = -o - 4*q - 4. Suppose -o*i = i - 80. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b5212 (base 12) to base 9\nAnswer: 401135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 87.4 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7137 - 7137 + 552792*l.\nAnswer: 552792*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 474*c - 306?\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t - 5. Let v(q) = q - 1. Let z(h) = 11*v(h) - 2*x(h). Suppose 2*j - 11 = 4*y + 3, 3*y = 3*j - 12. Calculate z(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36053 is divided by 107?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2252126, -2252125, -2252124, -2252123, -2252122, -2252121?\nAnswer: -2252120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 56*s - 194. Let w(p) be the third derivative of -11*p**4\/24 + 13*p**3\/2 + 16*p**2. Let m(x) = 2*f(x) + 11*w(x). What is the hundreds digit of m(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*c + 42, 13*l - 27*l = -17*l - 21*c - 123 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 11*v**2 - 7*v + 35. Let y be w(-10). Suppose -4*g = -2*p + 14, -5*g - 21 = 5*p + 19. What is the third biggest value in g, 0.2, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 9*a - 3 - 2*a**2 + 5*a**2 - 4*a**2. Give v(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, 42, 108, 200, 318?\n\"Answer: 13*v**2 + v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -1\/630*k**7 + 0 - 5\/24*k**4 + 1\/120*k**6 + 155*k**2 + 7\/180*k**5 - k**3 - k. Find w such that c(w) = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (0 - (18 - 31))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + (1*sqrt(330))\/sqrt(6))\/(-5*sqrt(5)*2) - -3*(-4*sqrt(1584)*-2)**2.\nAnswer: -sqrt(11)\/5 + 304128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-5) + (-19677)\/35. Let d = 858 + c. Suppose -d = 4*v - 8*v. What are the prime factors of v?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 1595445*r - 4786290.\nAnswer: -5*(r - 319086)*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 193744244 and 232.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.585 + 19.585. Sort d, 3, -4\/7, 1\/6.\nAnswer: -4\/7, 1\/6, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 6*g**2 - 39. Let a(w) = w**2 - 1. Determine 6*a(t) - i(t).\nAnswer: t**3 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69311623.\nAnswer: 69311623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + g**2 - 8 - 20 + 5 to f*g + s + u*g**2 and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/100 - (-12)\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 3, -15, -39, -69, -105?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + c = 6 + 1, -2*c = -3*j + 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -1. Let w = q - -5. Let s(r) = r**3 + 7*r + 8. Let x(m) = -m + 3. Let u(y) = -y + 2. Let b(c) = 4*u(c) - 3*x(c). Give w*b(g) + 2*s(g).\nAnswer: 2*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2158, 8752, 19786, 35260, 55174?\nAnswer: 79528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12137*c**2*n**2 + 443*c**2 + c*n**2 + 7*c*n + 78*c + 9*n**2 + n wrt c?\nAnswer: -24274*n**2 + 886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6 + 0*t - t + 4. Let h be a(8). Solve 0 = -h*v + 2 + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5365326um in kilometers?\nAnswer: 0.0000000005365326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-6)\/2 + 179 - (2 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 5*y**2 - y + 5. Does 3 divide h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-21) - 21\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164208197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*n**4*x + 6*n**4 - 48*n**3*x - 2857*n**2*x + 58*n*x wrt n?\nAnswer: 2472*n*x + 144*n - 288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 8 = 5*q + 8 - 20, -2*o - 2*q - 6 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + y - 28343301*y**2 + 28344575*y**2 - 4*y.\nAnswer: 1274*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -130*f + 4*f**3 + 1 - 4*f + 3*f**2 + 129*f as o*f + j*f**2 + b + s*f**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -738, -2061, -3990, -6555, -9786?\n\"Answer: -5*u**3 - 273*u**2 - 469*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -21 - 85*z**2 + 13*z + 2 + 84*z**2. What is the remainder when 31 is divided by g(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -9. Suppose 0 = -y + o + 8, -d*y + 3*o + 40 = o. Let c(r) = -r**3 + 4*r**2 + r + 3. Calculate the remainder when y is divided by c(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 8*m**2 + 13*m - 3. Let a be i(9). Suppose 3*s + 8 = 4*s. Let j be s*(-3 + 69\/12). Calculate the highest common factor of a and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v**3 + 2*v**2 - 13*v + 25. Let p(d) = -7*d**3 - 2*d**2 + 9*d - 28. Calculate 3*p(k) + 2*u(k).\nAnswer: -7*k**3 - 2*k**2 + k - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 8*v**2 + 28*v. Let o(r) = r**2 + 3*r. Let h(j) = 3*c(j) - 28*o(j). Let t(f) = -f. Give t(h(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 8*r + 19. Let t be m(-6). Suppose -t*w = 15*w - 88. Calculate the lowest common multiple of 24 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3062 + 2916.3. What is c rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 245 and 144847395.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -4.54, -5, 0.5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-10))\/(4\/400). Let k = -22 + y. 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: What is prob of picking 1 l and 2 r when three letters picked without replacement from tpollroraattrpollt?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -6*h + 168. Suppose 0*l = -3*l - h. What is the remainder when (l\/(-3))\/(8\/12) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (368\/(-690))\/((-36)\/15)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7\/(-7)*-498 + -7.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321432 divided by 3.\nAnswer: 107144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 36 + 36)*((-d - 1 + 1)*(-3 + 1 + 1) + d - 3*d + 0*d + 4*d - 3*d - 2*d + 4 - d - 4).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-8 - -1)) + (-8 - -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) -3\/2 (b) -10501 (c) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 4 (c) 2\/45 (d) -4 (e) -591\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 12:38 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 3 - (-10 - -6)) + -12 + 9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 + 4*d**2 - 16*d - 8. Let w be k(-3). Solve -w*r + 3*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 1164\/7 - 166. Let k = 0.06 - -3.94. Let o = 24 + -26. Sort k, o, m in descending order.\nAnswer: k, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62006 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/42928 and 113\/16098.\nAnswer: 128784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**4\/2 + 40120*c**3 - 1163901*c**2 - 40120*c + 2327801\/2 = 0?\nAnswer: -80269, -1, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**3 - 18*q**2 + 48*q - 32 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -14710673.7233747.\nAnswer: -14710669.7233747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + g + 22. Let q(k) = -2*k**2 - k - 23. What is -5*a(r) - 4*q(r)?\nAnswer: -2*r**2 - r - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**6*o)))**(-1\/9)*(o*o**(-1\/7)*o)**(1\/37) assuming o is positive.\nAnswer: o**(-1696\/2331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 18.5. Let t(f) = f - 7. Let b be t(6). Sort b, x, 2 in ascending order.\nAnswer: b, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) -7\/276 (c) -0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 2068.\nAnswer: -5\/1034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5216.5 centuries in decades?\nAnswer: 52165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14cc4b - -14?\nAnswer: 14cc62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 560.3 rounded to the nearest 10?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 1)*(-3 + 3 - 1) + 1 - 3 + 0)*(0*g + 5*g - 3*g)*(-12167*g + 12167*g - 100*g**3).\nAnswer: 600*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217300, -434566, -651832?\nAnswer: -869098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-4)\/(-4))*(-2)\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-5))\/(q*q**(-3\/8)\/q*q)*q\/(q**2\/q*q)*q\/q**1 assuming q is positive.\nAnswer: q**(35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 174 - 179. What is the nearest to -1 in 5, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/((-1488)\/416)*9\/(-84)*7.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131213 + 131?\nAnswer: -131022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 248.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -99, -103, -125, -171?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 116.7 + -107. Let k = f - 2.9. Round k to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.916181 tonnes?\nAnswer: 1916181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4057, 8342, 12627?\nAnswer: 16912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4981, 2, 4, -97?\nAnswer: 4981","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8703 is divided by 1425.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 43 = -47. Let x = -25 - u. What is the second derivative of -16*q**x + 15*q - 14*q**5 + 13*q**5 wrt q?\nAnswer: -340*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -94751 bigger than -94557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 151525501 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 52*v**2 - 1223*v + 53458. Calculate w(57).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 710252952 by -4.\nAnswer: -177563238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329*n + 992*n - 6*n**3 - 331*n - 332*n.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/14)\/(60\/(-21) + 2). Sort 2\/5, n, -0.5, 0.\nAnswer: -0.5, 0, n, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351554 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*o**3 + 1836*o**2 + 6861*o - 3276.\nAnswer: -3*(o - 91)*(o + 4)*(7*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-28245)\/(-40350) + 41\/(-55)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**6\/6 + 2*c**3\/3 - c - 5. Let u(l) be the first derivative of g(l). Find the second derivative of u(n) wrt n.\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 84 + 283771?\nAnswer: 283865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 11) to base 5.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2667297 and 705?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1701\/715 - -3\/143. Which is smaller: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 16 + 4. Suppose 0 = -4*s + 4*d - 196, 177 = 3*s - 6*s - c*d. Let u = 38 - s. Is u a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 20 = -0*d. Let x = 69 - 12. Let r = x - 22. What is the greatest common divisor of r and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y + 2. What is o(7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 884, 2210, 4066, 6452, 9368, 12814?\nAnswer: 16790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 952003 and 998166.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - ((-10 - (3 + -23)) + -34)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -202022110 (base 3) to base 11\nAnswer: -10142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14 + 12)*-8 - -6. Let j = 24 - 21. Solve r + 0*r = -j*n + 18, -r + 5*n - t = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.041 and -88557.\nAnswer: -88557.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrmrmr. What is prob of sequence mr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -331 (base 5) to base 8\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a6aa70 + 4?\nAnswer: 6a6aa74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -13. Suppose 0 = -3*o + l*t + 3, -2*t - 1 - 1 = -3*o. Let z = 0.0411 + 0.9589. What is the closest to 0 in o, -3\/5, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/64*(-1 - 3). Let q = 343 + -332. What is the biggest value in 5, d, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212110020222 + -101?\nAnswer: 212110020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -13\/2*u**3 - 53\/2*u**2 + 3 + 0*u**4 + 1\/20*u**5 + 56*u. Differentiate w(d) with respect to d.\nAnswer: 3*d**2 - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1\/3 (c) 0 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -2. Let s(h) = h + 1. Let l be s(x). Let a(o) = o**3 + 39*o**2 + 331*o + 247. Let f be a(-11). Put l, f, 0, -3 in ascending order.\nAnswer: f, -3, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**3 + 20*d**2 + 23*d - 2. Let x(p) = 11*p**3 + 30*p**2 + 35*p - 3. Let r(u) = -8*h(u) + 5*x(u). Let v be r(-9). Is v - -232 - (-1 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 278, 635, 1144, 1811, 2642, 3643, 4820?\nAnswer: 6179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4, -25\/3, -11\/5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1241, 4, -0.12, -4\/9 in increasing order.\nAnswer: -1241, -4\/9, -0.12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, -2, -4 in decreasing order.\nAnswer: 11, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + -2)*(-66)\/(-2). Let r = h + 328. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 29 = 21 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2\/25, -0.0392, 5, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36590469 and 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 34062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 256847801?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-14 - 234\/(-9)) - -22?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 18*a**2 - 22*a + 42.\nAnswer: -2*(a - 1)*(a + 3)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 224\/10 - (-15)\/25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011368 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 7. Suppose -q = -m + 3*m. Let l = 0.894 + -0.394. Put m, -3, l, 2\/23 in descending order.\nAnswer: l, 2\/23, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -4*sqrt(833)*-3)*4 + -5*-6*(1 + -3*sqrt(833)))**2.\nAnswer: -8232*sqrt(17) + 1469608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*21\/(-6)*((-235)\/(-35))\/47.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.74, -2\/13, -206\/15?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15\/13973 + -1187375\/307406. Let z be (-4)\/(-10) - 126\/(-736). Let l = -1\/115 + z. What is the common denominator of l and x?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -6. Let m = -838941 + 12579628\/15. Let w = m + 299. Do w and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 134373880 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 58\/7? (a) -0.1 (b) 1 (c) -0.12 (d) 0.3 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 24 = q. What is the third derivative of 10*u**2 - 5*u**2 - 22*u**6 + q*u**2 wrt u?\nAnswer: -2640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l + 436. Let q be v(62). Let s = 0.03 + -2.03. Let w be ((-1)\/3)\/(4\/(-3)). Which is the nearest to s? (a) w (b) -1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = s + 9. Let t = s + 4. Let r be -2*t\/(-66)*2. Which is the closest to 0.1? (a) r (b) -3\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216 and 112.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -269. Let q = z + 258. Solve 10*b - q*b + 6 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l + 13 = -29*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9753 + 4137. Let i = -5612.969 - c. Round i to one dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/2 - 18909*j\/2 - 9453.\nAnswer: -3*(j + 1)*(j + 6302)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, w: 3, p: 4, c: 1, g: 3, h: 2}. What is prob of picking 1 h and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 - 2*w + 1. Let j be 33\/27 + (-2)\/9. What is the remainder when 7 is divided by f(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) -1.7 (c) -6 (d) 9 (e) 1 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 10)*(1 - 1 - 3)*(-9*c + 0*c + c + (-3 + 2 - 1)*(-6*c + c + 3*c)).\nAnswer: -96*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w + 0*w - w)*(407 + 696 + 217 + 164 + 106).\nAnswer: 7950*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/49*7)\/((-4)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*b - g - 94, g = -3*b + 64. What is the remainder when b is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k + 1157 = -4*c, 2*c = -4*k + 1506. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -59*a**2 - 3*a - 876 wrt a?\nAnswer: -118*a - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 17*c**2 + 17*c - 8. Let m be d(16). Suppose -p + 4*y + m = -30, -4*p - 3*y + 57 = 0. Calculate the greatest common factor of p and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 33*r - 2. Let n be y(-2). Let p = -46 - n. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) + 151\/4. Let c be 2*(-3)\/(-18) - (-406)\/(-21). Let j = d - c. Is 39 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d - 1. Let w be m(1). Let p(g) = -g**3 - 7*g**2 - 8*g - 7. Let s be p(-6). Factor -3*a**w - s*a**3 - 2 + 4*a**3 + 3*a**3 + 3*a.\nAnswer: -(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11355 + 12275 = -20*o for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 - 1010?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16424*t*w**3 + 203*t*w**2 + 3*t*w + 10*w wrt w.\nAnswer: -98544*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express j + 0 + 4 - 30 as v*j + k and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 12*r**2 + 10*r - 15. Let q be d(-11). Let i(s) = -s**3 - 4*s**2 - 4*s + 6. Is i(q) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15565 and 1895.\nAnswer: 5899135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52726, 52508, 52280, 52042, 51794, 51536, 51268?\n\"Answer: -5*s**2 - 203*s + 52934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (-308)\/(-35) + (-2)\/(-10). Solve c*a = 2*a - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 4*v - 1. Let j be s(-4). Let h = 83\/282 - 6\/47. Sort h, j, 1 in increasing order.\nAnswer: j, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 1. Let r(m) = 5*m**2 - 10*m + 2. Let i(p) = -2*p**2 + 3*p - 1. Let w(s) = 8*i(s) + 3*r(s). Let o be w(-5). Determine b(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 333479.327 + 410.673. Let x = u + -334173.849. Let p = 284 + x. What is p rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and -20212 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*n + 196 = 0, 0 = 5*n - 2*n + 12. Suppose -2*l = -1 + 5, 0 = r + 2*l + v. Calculate the common denominator of 59\/3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -32. Suppose -3*h - 3 = 3*w, 3*w + q*w = 5*h - 3. Sort 1, 5, 13, w in increasing order.\nAnswer: w, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -20*h - 125. Determine o(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 + 93*o**2\/5 + 7917*o\/5 - 737009\/5.\nAnswer: -(o - 91)**2*(o + 89)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 3:45 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1110110 (base 2) to base 6\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -8.5 (c) 95 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 0.4 (c) 0.001 (d) -3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 21 = -k, -96 + 68 = 4*k - x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602528256 is divided by 698.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*c + 21. Suppose -2*i + k = -c, 0*i - 5*k = -5*i + 15. Suppose -q - 6 = -t, t + t + i*q = 0. Solve 3*r = t*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1956 + 7783\/4. Let n be 6\/15 - 211\/2. Let z = -111 - n. Calculate the common denominator of z and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18852 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + (-1*-3*(5 + 3*4*sqrt(243))*5)**2.\nAnswer: 243000*sqrt(3) + 7878821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 117 + -100. Suppose 14 = -2*c + i, 2*c - 5*i = -8 - 14. Let o = l + c. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4665 <= -4639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/6*350\/(-105).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101 - -166. Let h = -90 - -149. Suppose -2*w - c - h = 0. Round w to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + 0.3. Let r = 5.4 - h. Let x = 1 - r. Round x to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1945474 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g, 2*v - 4*v = -4*g + 82. Let t = -133 + 218. Let d = v + t. Is 44 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 8, p: 3, n: 5}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2852.\nAnswer: -8556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86829420.\nAnswer: 2, 3, 5, 131, 11047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*i + 92*i + 2*t - 1599 = 0, -4*t - 8 = 0. Is i a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13 and 5.2?\nAnswer: 18.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225446 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 204\/535 - -2\/107. Let q = -0.04 + 0.14. Which is the closest to t? (a) -5 (b) q (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 - 60. Solve -4*n + 5*j + 6 = 0, -4*n + 4*j + z + 2 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 144 = b. Suppose y - 10*y + b = 0. Suppose 0 = 4*p - y*p + 4. Let n(v) = -5*v**2 - 2*v + 1. Give n(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*r + 66, -91 = -8*r + 3*r + 2*b. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 8) to base 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + 31. Let d = -52.4 + r. Let g = 34\/15 + -13\/5. What is the third biggest value in d, g, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3594 - 51*v + 3594 - 75*v**2 wrt v.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -7*q + 4*q. Let u(c) = -c**3 - 9*c**2 - 7*c - 12. Let a be u(-8). What is the remainder when 1\/((-4)\/a) + 1 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5*z + 7, -5*u + 3*z + 9 = -2*u. Let x be (u - (-1572)\/45)*9\/6. Let n = -55 + x. Sort n, 10, 5, 0.3 in ascending order.\nAnswer: 0.3, n, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0424 times 1\nAnswer: -0.0424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 11, b: 1}. What is prob of sequence ibi?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciyiyyffiiyiyryyyyfy. Give prob of picking 2 f, 1 y, and 1 i.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -65, -155, -273, -419, -593?\n\"Answer: -14*i**2 - 48*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 1 = -4*h + 13, -2*q + 2*h - 14 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*o - 5*r + 9, 2*r = 5*o - 9. Suppose 0 = 5*z + o*b - 38 - 26, 0 = z + b - 12. Calculate the lowest common multiple of z and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*u - 328 - 1072 = 498*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 9451*j + 94626. Determine u(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8507, 4, 2, 17, -4, 23 in increasing order.\nAnswer: -8507, -4, 2, 4, 17, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 2*r - 106. Let w = -61 + r. Is 5*(-2)\/(w\/388) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(95) + -2*(sqrt(95)*1 - sqrt(95)) + 4*2*sqrt(95)))\/(-5*(1*sqrt(5) - sqrt(5)) + (sqrt(20) - 4*sqrt(20) - sqrt(20))).\nAnswer: 27*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 3*z - 23, 5*z + 7 = 32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.071459, -512, 3 in increasing order.\nAnswer: -512, -0.071459, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*o = 30, -2*o - 13 = -5*u + 62. Let b = 51 - 22. What is the remainder when b is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 53129521 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -244357.837749 - -244358. Let u = w + -0.162. What is u rounded to five dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/25)\/h**36*(h**5*h*h**(2\/3))**12 assuming h is positive.\nAnswer: h**(1098\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 252, 372, 492, 612, 732?\nAnswer: 852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, 226\/17, -2, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*t - 18*t - 5*t.\nAnswer: 69*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2 + 11*m + 8. Let s(a) = 2*a**2 + 4*a + 3. Let v(h) = -4 - 2*h + 2 + 5. Let p be v(-4). Determine p*s(l) - 4*r(l).\nAnswer: 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 796*-0.4\nAnswer: -318.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 689\/2 + -343. Let u = 7 - 7.3. Let a = 0.1 + u. What is the closest to 0 in a, c, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*v - 91 + 118 = 0, -3*v - 121 = -5*p. Let i(q) = 35*q - 2. Calculate the remainder when i(2) is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106\/8 - 2\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -5, -171741, 3 in decreasing order.\nAnswer: 3, 1, -1, -5, -171741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 - (-6 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-15) - (-1)\/3. Does 20 divide (-39)\/(-26)*x*32\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*2\/(-68)*(-552)\/(-69).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.7438 < -86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 - 89. Let d = 45 + n. Calculate the greatest common divisor of d and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26227 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2 + (-7)\/(-2). Let d = 748 - 700. Suppose -5*l = -p*h + 30, -4*h + d = h - l. Solve -y + 3*y = -h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -1377.\nAnswer: 2\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 174708169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*j - 1 - 11 = 0, 5*j - 1 = o. What are the prime factors of 1*((32 - o) + 0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -159 (b) -1\/3 (c) 0 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 6. Solve 0 = v - g + 2, 3*v = -0*v + 4*g - w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -3, 110, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-3)\/(-2)*(-4)\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48978 - 16410 - 16157 - 15*m - 16411.\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 1:38 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14065412*d**2*m - 14*d**2 - 1212*d + 182 with respect to m.\nAnswer: -14065412*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is -40 less than -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/30 and (-12374)\/2760 + (-5)\/(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000345076266 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 654769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 1. Let r be 0\/(-1*(-1 - 1)). Suppose -2*o = -2 - r. Which is bigger: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + 2*(sqrt(72)*2 + 0) + -1)**2.\nAnswer: -192*sqrt(2) + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/11 - 4\/(-22). Solve 2*u - 3*u = j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/16*(-1 + -23). Let p = t - 16. What is the third derivative of 12*i**6 + 11*i**6 + 0*i**p + 4*i**2 - 17*i**6 wrt i?\nAnswer: 720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2013706*g*p**2 + 1197252*g*p + 2*g wrt p?\nAnswer: 4027412*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.51882 >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2050 divide 37896300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5380 - -5035. What is the thousands digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: e46 (base 16) to base 5\nAnswer: 104104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -49, 104, -87, 3, 0 in increasing order.\nAnswer: -87, -49, -4, 0, 2, 3, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3343 is divided by 98?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -3 (c) -1 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 513*y - 16917. What is s(33)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -974746 - 2332.5.\nAnswer: -977078.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -213, -3, 2, -22 in descending order.\nAnswer: 2, -2, -3, -22, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05124 - 5.05124. Which is the second smallest value? (a) p (b) -0.5 (c) 8 (d) 5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 44, 133, 310, 605, 1048?\nAnswer: 1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25036.74mm to centimeters.\nAnswer: 2503.674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 2 + 5)*(o - 3*o - 3*o)*(2*o**2 - 7*o**2 - o**2 + (-1 + 1 - 2*o)*(2*o - 4*o + 3*o)) to the form j + i*o + g*o**3 + t*o**2 and give g.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147870848 - -103.\nAnswer: -147870745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + sqrt(832) + 0 + -4 + 2*sqrt(832) + -5 - 4*(1 + sqrt(832))*-2*4)**2.\nAnswer: 28000*sqrt(13) + 2039650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*q + 3, 5*o + 2*q = 3*q + 18. Suppose -s + 0*s + 4 = u, -4*u = -o*s + 5. Suppose 0 = -8*p + s*p - 1500. What is p rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-370 + 390*k + 370)*(k**3 - k**3 - k**3).\nAnswer: -390*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 - (6 + (-9 - -8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v + 5 - v**2 + 9 + 8*v - 4*v. Let y be t(12). Solve 0 = -y*m + 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1475 (base 10) to base 7\nAnswer: 4205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-40)*-8 + 0\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 23 = -o, 43*i - 38*i = -25 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -673 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 3*z = -8*z + 5, 4 = 2*z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3406960 divided by -16?\nAnswer: 212935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.41797676 to two dps.\nAnswer: 13.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7147, -1 in descending order.\nAnswer: -1, -2, -7147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 12*l - 64. Solve -l*t = 5*w + 25, t - 8 = 4*w + 12 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g*g*g**6)\/(g*g\/(g*(g*g\/g**(-4\/5))\/g)*g**2) assuming g is positive.\nAnswer: g**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c + 10. Let r be h(-2). What is the greatest common factor of r and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -2*h**2 - 3\/8*h**3 + 0 + 17\/32*h**4 + 12*h + 3\/40*h**5. Suppose d(t) = 0. What is t?\nAnswer: -3, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*k = -2*x + 1, -2*k = -6. Is 21\/5 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 489 - 489. Suppose z = -5*u + 3*d + 15, -5*u - 15 = -d - 40. Solve -3*y + 5 - u = w, 5*y + 35 = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17981979.\nAnswer: 3, 5993993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(3) + 4 + 0 + sqrt(363))**2.\nAnswer: 144*sqrt(3) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -692, -1387, -2092, -2813, -3556?\nAnswer: -4327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*i**5 + 6*i**5 + 0*i**5 + (7 - 3 - 2 + (-1 - 2 + 4)*(3 - 1 - 1))*(2*i**3 - i**5 - 3*i**3 + 3*i**3).\nAnswer: 11*i**5 + 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51.8 - -52. Let u = 4 + -3. What is the third smallest value in a, 4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 16*x**2 + 50*x + 8. What is u(-12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 28 = s, 0*m + 5*s + 47 = 2*m. Let i(b) = b**3 - 11*b**2 - 4*b + 49. Calculate the least common multiple of 3\/(-1*3\/(-34)) and i(m).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**6\/120 - n**5\/15 - 2*n**3\/3 - 2*n**2. Let u = 10 - 8. Suppose 4*b + 22 = -u*j, 4*b + 0*j + 25 = -3*j. Determine s(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10967 divided by 11.\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10411 + 1023340?\nAnswer: 1012424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*s + 3, -2*y - 3*s + 0*s - 11 = 0. Let k be 10\/8*y\/35. Let u = -5.1 - -5. Sort u, -3\/5, k in decreasing order.\nAnswer: u, k, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1\/6, -3, 0.5, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8 = 4*d, -2 = -3*d + 2*d + c. Suppose 3*r + 3*b + 6 = -0*r, b = -d*r - 2. Let i(s) = s**2 + 6. Determine i(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 250 = -244. Is (26\/39)\/(z\/83943) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/5*30\/2. Let v(s) = -s + 4. Let k be v(4). Suppose -2*q + 44 = -k*m + m, -5*m = 2*q - 52. What is the greatest common divisor of q and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 - 52. Suppose -2*z + 5*d - 7 = h, -2*d = -3 + 1. Let f(t) = t**2 + t + 1. Let s(a) = -4*a**3 + a**2 + a - 1. What is z*s(k) + f(k)?\nAnswer: 4*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 486112*n**2*w**2 + 3*n**2*w - 3924*n**2 + 4*w wrt w.\nAnswer: 972224*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 169*g = -168*g + 18, -32 = -4*l + 4*g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.061?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -11*h + 9. Let u be h\/(-4) + 126\/312. Sort 2\/11, u, -3 in descending order.\nAnswer: 2\/11, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2. Let t(d) be the third derivative of 83*d**7\/5040 + 41*d**5\/60 - 46*d**2. Let w(r) be the third derivative of t(r). What is z(w(m))?\nAnswer: -13778*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*s**2 + 18*s**2 + 27*s**2 - 604367*s**3 + 604369*s**3.\nAnswer: 2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/8672 and 79\/1320312.\nAnswer: 5281248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -277*j**3 + j**2 - j - 2. Let a be n(-1). Let u = a - -372. Suppose -2*q + 4*q = -2*y + 268, -u = -5*q + 2*y. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -4.1894 * 0.22.\nAnswer: -0.921668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 142099730 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**4 - 7*f**4 - 3*f**4 + (-3 + 4 - 4)*(-2*f**4 + f**4 - 3*f**4).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 4574*x + 22822. Give k(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3611, -15643, -35689, -63749, -99823?\nAnswer: -143911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.21 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -240 - -240. Solve -4*d + 0 - 4 = w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 603*p - 957. List the prime factors of f(7).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(102)*-4 - -1*(sqrt(102) + (2*sqrt(102) - sqrt(102))))\/(-2*(sqrt(864) + -2*sqrt(864)*-3 + sqrt(864))))**2.\nAnswer: 153\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((0 + 0)\/(12\/12))\/1. Suppose y = -5*h + 663 - 233. What are the prime factors of h?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6, 0, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 346006, 345965, 345922, 345877?\n\"Answer: -a**2 - 38*a + 346045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/91854 and -26\/243.\nAnswer: 91854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -135 (b) -6 (c) -1 (d) -0.082\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23601 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1584)*3*6 - (-2 + sqrt(1584))*1)**2.\nAnswer: -2746680 - 4896*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 + -78. Suppose -76 - 131 = -r*w. List the prime factors of w.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 + 27*u - 11. Let c be y(13). Solve c*a + 4 = 5*g - 1, 7 = -g + 2*a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-57)\/(-3) + 12\/(-16)*-4. Let k = 43 - 25. Suppose 7*i - 2*i - 40 = 3*x, k = 3*i - 3*x. Calculate the highest common factor of i and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 2426?\nAnswer: 26686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*3\/(-18)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 13*h - 2. Let z be t(-14). Let o = 14 - z. Suppose -72 = -o*q - f, 2*q - 3*q - 5*f + 36 = 0. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690048260458 less than -28?\nAnswer: -690048260486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 - 87 + 3732*v**2.\nAnswer: 3732*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(2232\/437100)\/(6\/10).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-1 - -102) + -17 - 25).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, b: 9}. Give prob of picking 1 e and 1 b.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + 18. Let i = o + -40. Suppose 102 = 4*x + i. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -3*k**5\/40 - k**4\/24 + 2*k**3\/3 + 3. Let c(f) be the third derivative of v(f). Does 3 divide c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*(q*q**(-10))\/q*q\/q**(-6))\/(q**(3\/7)\/(q*q**(-3)*q*q)) assuming q is positive.\nAnswer: q**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 7. Let f = -1 + -1. Let l be (-6)\/(-3) + f\/(-1). Calculate the remainder when a(l) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 784*g*o + 587540*g + 387*o wrt o.\nAnswer: 784*g + 387","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -81*s**4\/2 + 2493*s**3\/2 + 51268*s**2 + 501266*s + 1533072 = 0. What is s?\nAnswer: -82\/9, -8, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/7051785 and 21\/273325.\nAnswer: 35258925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, c: 1, b: 1, x: 2, s: 1, v: 1}. What is prob of picking 1 b, 1 v, and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/20 of a meter?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 75, 73, 71, 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68 (base 15) to base 6.\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2))\/n)**(-11\/3)\/(n**10\/n**3) assuming n is positive.\nAnswer: n**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-21) - (-1034)\/7. Let q be (586\/(-360))\/(186\/a). Let n = -4\/837 + q. Find the common denominator of n and 30\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 7*f**2 - 5*f + 7. Let z be d(-6). Let s(i) = 12*i**3 + i. What is s(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10281 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4\/7, -1\/10 in descending order.\nAnswer: -1\/10, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 131 + -35. Find the common denominator of 10\/y - (-4)\/(-6) and (518\/350)\/(2\/15).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21*-221548\nAnswer: 4652508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 3 = 2*a + 3*q, -2*q = 4*a + 26 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 846\/90 - 4\/10. Calculate the greatest common divisor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 1:27 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 + j. Let o be y(-2). Let l(q) = q**2 - 10*q + 8. What are the prime factors of l(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 8*v + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -345.98 + 349. Let x = 12.02 + -12. Let k = j - x. Which is the smallest value? (a) 4 (b) -3\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -10*m**2 + m + 3. Let v be 2\/12 - (2 + (-92)\/24). Find the common denominator of -29\/10 and g(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -210221\nAnswer: 5\/210221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.64 - 12.64. Which is the closest to -0.25? (a) -0.2 (b) j (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 - 2*b - 3*b**3 + 3*b - b**3 to p + s*b**3 + u*b**2 + a*b and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - r = 8*g + 25, 2*g + 3*r = 3. Let o = g + 11. What is the third derivative of o*q**2 - q**2 + 2*q**4 - 7*q**2 wrt q?\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007810231 to 6 decimal places.\nAnswer: 0.00781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 613, 614, 617, 622, 629, 638?\nAnswer: 649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12016855 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -448*o**3 - 189*o**2 + 2*o + 381*o**2 - 64 - 192*o**2 wrt o?\nAnswer: -2688*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.95 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24041483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2280049, -2280044, -2280039, -2280034, -2280029, -2280024?\nAnswer: -2280019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 209621\/300 + -13608\/25. Let c = b + -154. What is the nearest to c in 1, 1\/5, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or 29203?\nAnswer: 29203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-25)*(44\/24 + -1). What is the closest to g in -5, -2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -1 (b) 65 (c) 2\/21 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12506215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 - 5 - 3*p + 0*p**3 + 7*p**2 - p**3 + 3. What is u(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 + 75. Let j = t - -3.8. What is the closest to j in 0.2, -1, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -44. Let a = 10 + r. Suppose a*l + l = 2*w + 23, 13 = 3*l - w. What is the highest common divisor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.27 - 8.37. Is 7 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 8*a - 3. Let g be p(7). Let m(y) = 7*y**2 - 4*y + 4. Let j be m(g). Let z = j + -17. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/13)*t**(3\/4)*(t\/t**(-1))\/(t**(1\/5)*t))\/(((t**1*t)\/t)\/(((t**(-2\/9)\/t)\/t)\/t))**(-9\/11) assuming t is positive.\nAnswer: t**(13873\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 h when four letters picked without replacement from hshhhhhhhhhhhhhshhh?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11821806.\nAnswer: 2, 3, 277, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1179505 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from otbsspr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by 16.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 694, 1\/4, 5, 0.1, -0.17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3*t + 3*u + 172, 2*t - 69 = u. Let f = t + -32. Solve 24 = 4*h + 2*r - 0, -f*h - 2*r = -19 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-33) - 0)*(-57)\/38?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 864?\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**4 + 5*g**3 - 5*g**2 + 12. Let b(c) = c**4 + 4*c**3 - 4*c**2 + 11. Let o(k) = 5*b(k) - 4*l(k). Find the first derivative of o(f) wrt f.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 297071742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 i, and 1 n when four letters picked without replacement from {n: 2, i: 1, m: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11000 (base 3) to base 5\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.98 + -0.02. Let h = z - -6. Let n = 0.2 - -0.2. What is the nearest to 0.1 in h, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -10 + -1 + 3 + 14 - -3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1809 divided by -1.\nAnswer: 1809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16521213347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + g + 1. Suppose 2*o + 2*w - 2 = -0*w, 3*w = 5*o + 35. Let p be b(o). Calculate the highest common factor of p and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u - 70. Let i be t(-24). Suppose i*p = -63 + 401. Put 0, p, -2 in descending order.\nAnswer: p, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6881146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-167 - (35 - 63) - 3) + 24?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -167.5994 rounded to one dp?\nAnswer: -167.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 53?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*v**5 + 100140*v**4 + 2*v**2 - 7553593*v?\nAnswer: 360*v**3 + 1201680*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.611 + 9.389. Let n = -0.08 + -6.92. What is the second smallest value in 0, n, 4, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-18))\/((12\/(-45))\/((-6)\/(-15))). Which is the second smallest value? (a) 9\/14 (b) 0 (c) v (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11212214 (base 5) to base 14.\nAnswer: 28ad8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 + -1.98. Let i be -1 + 1 - 2\/(-3). Let w be (-14)\/98 + (0\/(-2) - -1). Which is the nearest to i? (a) n (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3810887473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16 - 47*f + 101 + 41 - 108*f + 77 wrt f?\nAnswer: -155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-92)\/14 + 6 + (-42144)\/(-56) is divided by 188.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a microsecond in nanoseconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25854*n - 28400 = 26564*n for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*(-521)\/(-3126).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 283201983 a multiple of 349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (-62 - -82)) + -12 + 0\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 - -79. Factor -3*w**3 + 1 + w**2 - n*w**4 - 7*w + 10*w + 3 - 3.\nAnswer: -(w - 1)*(w + 1)**2*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 7857 = -g + 267228, 3*g = 2*y + 825253. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -349 > -344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2\/2 + 39*q + 81\/2 = 0.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*n - 50 = 0, -2*o - 6*n = -5*n + 15. Let l(z) = -7*z**3 - 9*z**2 + 5*z + 7. Let g(a) = 3*a**3 + 4*a**2 - 2*a - 3. Give o*g(i) - 2*l(i).\nAnswer: -i**3 - 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**3 + 781 - 403 - 379 + 5*u. Let l(m) = -4*m**3 - 3*m + 1. What is -3*b(a) - 5*l(a)?\nAnswer: -a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.082644 rounded to three decimal places?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 at least 1\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -361 - -560. Let g = -356 + o. Is (1 - g)*7\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 321092418.\nAnswer: 321092418.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 5 (c) 9\/14 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17, 3\/4, -4, 2\/13?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(1 - 24\/21). Calculate the common denominator of 58\/3 and (7\/s)\/(1\/(-17)).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -343 (base 5) to base 4.\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 179*d**2 - 22*d - 97. Let s be y(-9). What is s rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -16*s**2 + 4*s. Let l(h) = -15*h**2 + 3*h. Give -4*l(b) + 3*u(b).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 + (-92)\/8. Let o(f) = -6*f**3 + 2*f**2 + 3*f - 3. Let g be o(2). Let d = h - g. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 2. Let m(t) = 3*t - 3. Let j(o) = m(o) + 6*w(o). Let v(h) = -h. Let l(z) = j(z) - v(z). Give l(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**3 + 2*i**2 + 2. Let f = 20 + -21. Let a(o) = -o**3 + o**2 + 1. Let p be (-2)\/(-2 + 0) - -1. Give f*g(s) + p*a(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2\/8 + 233421207*r\/4 + 18161819959112283\/8 = 0. Calculate r.\nAnswer: -77807069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18960 and 101910.\nAnswer: 815280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -311\/5 + 62. Let p = -0.4 - -3.4. Let m = p + -5. Put m, 1\/3, b in increasing order.\nAnswer: m, b, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000131285 rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3.13, 13, 4, -2\/11 in decreasing order.\nAnswer: 13, 4, 0.2, -2\/11, -3.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -8, 0.08, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6522947 is divided by 1894.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*i + 2 = 6, 2*p - 12 = -3*i. Solve -p*u - 11 = 2*n, -5*u + 5*n - 9 = 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**6 - 14*o**4*p - 3825*o**2*p wrt o?\nAnswer: -360*o**3 - 336*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.4. Let k(f) = 60*f**2 - 13199*f - 219. Let a be k(220). Sort m, a, 4, 3\/4.\nAnswer: m, 3\/4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 52*r - 109. Calculate h(-54).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1283206.\nAnswer: 2, 43, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 126 - 131. Let d be (-36)\/30*2\/4. Which is the second smallest value? (a) -0.4 (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(459) + (-1*sqrt(459) - sqrt(459) - sqrt(459)))*-5)\/(2*sqrt(75)*-2).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 3*o**4\/4 - o**3\/2 + 4189*o**2. Let h(t) = -t + 1. Give -f(v) - 4*h(v).\nAnswer: -14*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**5 - 7*x**5 + 4*x**5)*(-1 + 1 + 2)*(0 + 2 + 0).\nAnswer: -24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (196 - 186) + (9 - 2 - (-1 + 1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/45)\/(-9*48\/(-135)) - (-1406)\/32?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2070, -4184, -6282, -8364?\n\"Answer: 8*n**2 - 2138*n + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3680 = 24*u. Find the second derivative of 15*j**3 - 4*j**3 + 66*j - 3*j**3 - u*j wrt j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 5. Let p(z) = 3*z - 5*z + 15*z**2 - 16*z**2 - 8. Let y be p(-2). What are the prime factors of w(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -19 - (10 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660*i + 188*i + 22540 = 204*i for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1065*u - 468577. Determine f(440).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/2))**(-20) assuming a is positive.\nAnswer: a**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 - 5 = -2*u, -3*l + 12 = 0. Let z = 108 + -81. Suppose -13*t + z = 1. Calculate the greatest common factor of t and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.885689 + -0.012991. Let a = -89 + 94.9. Let p = a + n. Round p to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*h + 7926, 4*h = -3*n + 7*n - 31656. Suppose 9*p = n + 4681. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {m: 2, d: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1796, 7314, 16524, 29450, 46116?\nAnswer: 66546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106*m**5 - 2*m**3 - 16*m**2?\nAnswer: 6360*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588518.\nAnswer: 2, 7, 127, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -56, 3346.\nAnswer: -56, 12, 3346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3812, 15248, 34306, 60986, 95288?\nAnswer: 137212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 336469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.22 + 0.62. Let d be 1 + -2 + 2 + -5. Which is the closest to 2? (a) 3 (b) m (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 17, 27, 39, 53, 69?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 + 0*z**2 + z + 1794 + 2*z**4 - z**3 + 0*z - 1797 in the form k + x*z**3 + t*z**2 + o*z**4 + m*z and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556008 is divided by 2782?\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11.00518 and 11569679.\nAnswer: 11569667.99482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2541\/8 (b) 0.61 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**4\/2 + 19*n**3\/2 - 5*n**2\/2 - 27*n\/2 + 9 = 0. What is n?\nAnswer: -6\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 5*r**2 - 7*r. Let l be p(-6). Let j(x) = 5*x + 18. Let t(v) = 12*v + 42. Let q(i) = 7*j(i) - 3*t(i). Give q(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.8 (b) 2 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 10.3.\nAnswer: -3.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 + 55*d + 510.\nAnswer: -5*(d - 17)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 3:16 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-12) + 747\/36. Solve -20*b = -k*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -10*p**5\/13 + 64*p**4\/13 - 14*p**3\/13 - 64*p**2\/13 + 24*p\/13 = 0.\nAnswer: -1, 0, 2\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2, -0.1, -4\/7, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 10 = -4*k. Let p = -11 + k. What is the remainder when 40 is divided by 42*(-3 + (-20)\/p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266636 and 82364?\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p + 5 = 0. Let z be 0\/((2 - 2) + p). Factor 2*i**3 + z + 0*i - 4\/3*i**4 - 2\/3*i**2.\nAnswer: -2*i**2*(i - 1)*(2*i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, b: 2, x: 2}. What is prob of picking 2 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 1 (c) 6\/11 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225355588?\nAnswer: 2, 56338897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-340)\/(-2890) - 2\/17\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u + 2. Let r be o(-3). Let y(n) = -3*n - 5. List the prime factors of y(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - 0. Let y = v - -18. Let t be (-12)\/20 - 4\/y. Which is smaller: 1\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 5:13 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**3 - 3*m**2 - m + 2. Let f(b) = -b + 8. Let q be f(6). Let r be k(q). Let v = 15 + r. What is v rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1907 = 59*o + 1553 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3309956010516 and 38?\nAnswer: 3309956010554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 353 + -322. Find the third derivative of -53*k**2 - j*k**2 - 35*k**5 - 18*k**2 + 2*k**3 wrt k.\nAnswer: -2100*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 9*z + 13. Let m be n(9). Let d = 1040\/11 - m. Let c = 8.236 - 7.236. Is d > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 1:03 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 140 + -127. Suppose 2*x - 3*l - 9 + 0 = 0, 4*l = -5*x - 12. Suppose x = -9*b + u*b - 96. What is the remainder when 95 is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -4*b + 5*u - 25, 0 = -2*b + 5*u + 36. Calculate the smallest common multiple of b and (-2)\/(-6) + 69\/9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26716 - 3791 = 7*g. Suppose v + g = 4*k, 5*v - 7*v = -10. List the prime factors of k.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d72d (base 15) to base 8.\nAnswer: 436467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1833 = 14*m - 10*m + 3*h, 0 = 2*m - 2*h - 920. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -152 + 1062\/7. Let d = 7.1 + -12.1. What is the closest to n in -0.2, -4, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 16 = -a. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 21*v = 3045. List the prime factors of (v\/(-2))\/((-12)\/(-24)).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + p. Let n be w(0). Let y be n\/(-1) + (-4)\/(-109). Let l = -190\/763 - y. Do 1 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/4*j**5 + 39\/4*j**3 + 3*j - 9\/2*j**4 - 9*j**2.\nAnswer: 3*j*(j - 2)**2*(j - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = 17*t - 25*t. Let a be (-20)\/(-15) - (-130)\/6. Let r = a + t. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**2\/2 - 8. Let k(o) be the first derivative of o + 2. What is h(c) + k(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c - 2. Let r(m) = m + 1. Give -n(v) - 4*r(v).\nAnswer: -7*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 225375 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one thirds of a week in hours?\nAnswer: 3976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -34*x. Let d(y) = -147 - 3*y**2 - 3*y**2 + 147 + 4*y**2. Determine u(d(v)).\nAnswer: 68*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (630\/420)\/((-105)\/30)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 12*v**2 + 7*v - 1. Calculate k(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1106 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13791*d**2 + 25718*d wrt d.\nAnswer: 27582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 761400 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48212 - -107711424?\nAnswer: 107759636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000605543 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c + 5*c - 3*c + 2 + 2*c**2. Let y(l) = l**2 + 15*l - 25. Let k(g) = 2*g - 4. Let q(o) = 13*k(o) - 2*y(o). What is -3*q(b) - 4*u(b)?\nAnswer: -2*b**2 - 8*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**3 + 0*u**3 + 6*u**3 + u**3 + 2*u**3 + u**3 + (-3 + 3 - u**2)*(5*u - u - 3*u).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/(-6) - 4) + (-13)\/(-78)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.69 and -3.\nAnswer: -29.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -4, 5\/2, -2\/3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 5*r = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3903215644?\nAnswer: 2, 23, 191, 222127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414405 is divided by 483?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 2, -723 in descending order.\nAnswer: 2, -60, -723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/20564 and 81\/14.\nAnswer: 143948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((38 - (15 + -9)) + 1 + 11 + 0)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-51)\/(-68))\/(2\/24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7 - 22*g**2 - 2*g + 22 + 10 + 10 wrt g?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:37 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/(-4) + 3\/12. Let o = 52 + -27. Let l = 25.2 - o. What is the biggest value in 2, l, 0.1, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4652798609?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1173*c + 1178*c - 5*z = -45, -5*c - 5*z = 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 38*j - 11. Let v(l) = 113*l - 33. Let y(g) = -g**2 + 3*g + 8. Let p be y(3). Let f(a) = p*k(a) - 3*v(a). Differentiate f(n) with respect to n.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j - 4*j**2 - 7*j - 19*j**2 to the form q + m*j + a*j**2 and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**8\/336 - y**7\/30 + 3*y**6\/20 - y**5\/3 + y**4\/3 - 82*y**2. Let x(s) = 0. Calculate s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68515.34 centimeters in kilometers?\nAnswer: 0.6851534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 46, 6, -2, -4 in increasing order.\nAnswer: -4, -2, 4, 6, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 13*y - 2. Let g(l) = -6 + 2 + 19*l - 3 + 4. Let d(c) = -5*g(c) + 8*k(c). Give d(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.6 (b) -4 (c) 0.4 (d) 1\/7 (e) -88 (f) -5 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + z + 7 = 0, -4*t - 4 = 2*z - 2. Let n be 3 - ((-9)\/3)\/t. Let a be (45\/(-2475)*33)\/(2\/(-10)). Solve -n*r + 10 = a*l, 2*l + 3*r - 10 = -0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvsbsv. Give prob of picking 1 s and 1 b.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 96*j. Let s(a) = -172*a**2 + 13. Let x(o) = -45*o**2 + 3. Let b(w) = 3*s(w) - 13*x(w). Calculate k(b(u)).\nAnswer: 6624*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182757150 and 360.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**4\/12 + h**3\/2 - 25*h**2. Let a be n(-8). What is the highest common factor of 171 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 33 = 3*y + 36, -4*p + 2*y + 2 = 0. Sort p, 105, 6 in descending order.\nAnswer: 105, 6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 125*n**4 + 941312200*n**3 - 2259149895*n**2 + 790702490*n - 75305000 = 0.\nAnswer: -7530500, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/87 at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, b: 5}. What is prob of picking 3 b and 1 i?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 4:10 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.018115 + 0.5.\nAnswer: -4.518115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10121.00027114 - 10121. What is d rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**3 + 3*f**2 + 3*f + 3. Let m be ((-12)\/8)\/(1\/2). Let u(d) = -11*d**3 + 8*d**2 + 8*d + 8. Calculate m*u(w) + 8*v(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.43, 0, -0.2, 1392.\nAnswer: -0.2, 0, 0.43, 1392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 760 - 934 + 174 + 15*v**3.\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2. Let h(t) be the second derivative of 2*t**6\/45 - t**5\/60 + t**3 - 4*t. Let n(v) be the second derivative of h(v). What is x(n(r))?\nAnswer: -512*r**4 + 128*r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by ((-2)\/6)\/((-2)\/54) + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -33 (c) -2 (d) 7 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) + sqrt(300) + -4 + sqrt(300) + -3 - (sqrt(288)\/sqrt(48))\/sqrt(8).\nAnswer: -7 + 59*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -80, -87, -102, -131, -180, -255, -362, -507?\n\"Answer: -h**3 + 2*h**2 - 6*h - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -7, -1775 in decreasing order.\nAnswer: 5, -2, -7, -1775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1827387 and 4924403.1.\nAnswer: 6751790.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -2.47975, -1, -3, 0.1?\nAnswer: -2.47975","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wtgggenwgggt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 170.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 92681175?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**2. Let q(w) = -6184707*w**2. What is z(q(k))?\nAnswer: -153002402703396*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/10 - (-66)\/15. Suppose h*p = -p. Let w = -1\/86 - 81\/430. Does w = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6978579 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 832 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 13 = -4*h + 4*a, -5*h + 2*a = -19. Suppose 0*d + h*d = 3*l + 8477, -d + 3*l = -1705. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 514 - 1894. Suppose 3*w + c = x + 2*x, -3*w + 5*x - 347 = 0. Let p = w - -274. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-73 + 79 - (-12 + 5)) + -93\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -773982664 - 0.013.\nAnswer: -773982664.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.6185 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 593 divide 128291598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031657 rounded to 4 dps?\nAnswer: 0.0317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 492 + 142. List the prime factors of r.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4 + 1421*t**3 + 190161*t**2 - 384581*t + 193000 = 0 for t.\nAnswer: -125, 1, 1544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1418)\/14 - 12\/(-42). Suppose -4*s - 502 = 5*h, -4*h + 2*s = 32 + 354. Let w = h - t. Solve -4*d = -d - w*p - 3, -d + 7 = -3*p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -10*i**2 - 281*i - 15. Give w(-28).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 8:45 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -36721 divided by 27\nAnswer: -36721\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*d - 267, 6 = 2*c - 0*c. Suppose 0 = l + 20 - d. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 474 and 385962.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -245435917 or -245435918?\nAnswer: -245435917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75 or -822\/11?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (114\/1235)\/((22\/(-385))\/((-8)\/(-7)))\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100596, -99686, -98774, -97860, -96944, -96026?\nAnswer: -95106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = b + 14884, -4*b = 25*u - 29*u + 19856. What are the prime factors of u?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/51*(-9)\/(-15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 8*w - 2. Let d be j(7). Suppose 0 = -d*p + 220 + 25. Calculate the common denominator of 76\/9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -17*y**2 + 2. Let r(o) = -10920*o. What is r(l(i))?\nAnswer: 185640*i**2 - 21840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11*j**2 + 103*j. Let b(m) = 8*m. Give z(b(w)).\nAnswer: 704*w**2 + 824*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21896411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 15*w + 1. Let u(h) = 91*h + 3. Let r(k) = 6*n(k) - u(k). Suppose 3*j = 4*a + 21 + 18, 0 = 2*j - a - 26. Give r(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/((-30)\/5))\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -32*j**2 + 2*j - 1. Give p(-2).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.43 * 1\nAnswer: 0.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5257, -5256, -5257, -5260?\nAnswer: -5265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*y + 73 = 83, 0 = -s - 4*y + 8. Solve -5*h - 5 = 0, s = -3*o + 5*h - 9 + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*n - 1122644 = -222223. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14677.034 + 14677. What is the closest to 4 in q, -4, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419653301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5188 - -9697. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 2, 5, -135?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56439.81 minutes to nanoseconds.\nAnswer: 3386388600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2760774 to the power of 1\/2, to the nearest integer?\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 148\/(-25) - 336\/(-56)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 904 - 909. Sort -2, j, -52 in decreasing order.\nAnswer: -2, j, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3069 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*s**3 - 8 + 8)*(-1 + 7 + 23) - 5*s**3 + 2*s**3 - s**3 as h*s**2 + c*s + t*s**3 + i and give t.\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Suppose -g*a + 20 = 8. Suppose 12 = a*l - 36. What is the greatest common divisor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 - (-33)\/(-18) - (-24507)\/378 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*h**3*p*q + 2*h**3*q - 4*h**2 + 14*h*q + 20*p*q - p wrt h?\nAnswer: -180*h*p*q + 12*h*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107222.7um to nanometers.\nAnswer: 107222700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 6*g - 11*g. Let o be 18\/36 + g\/(-4). Let z = 7 - -1. What is the greatest common divisor of o and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-2)*15\/12. Let d = l + 1. Which is the nearest to -0.1? (a) -0.2 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 24, -6, 4, 37, -2 in descending order.\nAnswer: 37, 24, 4, 1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-5 - 60\/(-12) - -11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 2*w = -36. Let n(r) = 9*r + w*r + 0*r - 22*r. Let j(y) = 6*y. Calculate j(n(t)).\nAnswer: -54*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20556 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4336.084 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -996*b - 1548. Let t(a) = 3979*a + 6191. Let z(k) = 22*c(k) + 6*t(k). Find the first derivative of z(i) wrt i.\nAnswer: 1962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6977.664 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4103046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k. Suppose 4*q = s - q + 10, 0 = -3*s - 5*q + 50. Suppose -t = -5*y + s - 37, -4*y - 20 = 0. Let g(z) = -3*z**t - z**2 + z**2. Determine g(b(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 - 79. Calculate the remainder when 75\/2*2 - 0 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3 = 5*c + 2, 5*c + 2*k = -33. Let l be c\/(-40) - (-39)\/8. Suppose 2*g + 6 = 3*q - 0*q, -4*g + l*q - 8 = 0. Solve g*h + 0 - 9 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231 (base 5) to base 10.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 565374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 167058613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 t when four letters picked without replacement from btgytgbywbjtg?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 811*j - 2425*j + 807*j + 805*j. Let j*w**4 + 0*w - 2*w**2 + 0 + 1\/3*w**5 - 7\/3*w**3 = 0. What is w?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -1754?\nAnswer: -1757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 94 + 33 - 25 + 31*p + 25. Let h be y(-4). Determine o so that 23\/10*o**2 + 0 - 1\/5*o - 11\/10*o**h = 0.\nAnswer: 0, 1\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -138, -211, -280, -345?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + d**2 - d - 91. What is q(0)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 28130 = 32*i. List the prime factors of i.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -89. Suppose 195 = -5*w + 2*x, 40 - 20 = -4*x. Let z = h - w. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-4))\/(k*k*(k**(-5\/3)*k)\/k))**42*((k*k**(4\/3))\/(k*k**7*k))**(-32) assuming k is positive.\nAnswer: k**(1228\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, n: 5, g: 8, t: 1, m: 3, o: 2}. What is prob of sequence nkmt?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -70 and -1283\/18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23388996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**2\/4 - 5107*o + 20429\/4 = 0.\nAnswer: -20429, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936 is divided by 2\/(-7)*2700\/(-72) + (-10)\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) -829 (c) -5\/3 (d) 130\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 30*r + 3. List the prime factors of s(-13).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -5*d**4\/72 - 17*d**3\/18 + 13*d**2\/4 - 175*d. Factor v(j).\nAnswer: -(j - 1)*(5*j + 39)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 619 by 1.\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**4 - 5840544*g**3 + 46724395*g**2 - 122651574*g + 105129936 = 0.\nAnswer: -5840552, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**5 - 114656*c**4 + 229300*c**3 - 114648*c**2.\nAnswer: 4*c**2*(c - 28662)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 414 and 28152?\nAnswer: 28152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -38*d**2 - 3*d + 2. Let o(s) = -153*s**2 - 11*s + 9. Let t(v) = 2*o(v) - 9*r(v). What is the second derivative of t(n) wrt n?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/5 - 92*w\/5 - 94\/5 = 0. What is w?\nAnswer: -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5308 divided by 1327?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 21 + 1 = 5*a, -5*a - 2*y = 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**2 + 4*r - 24 = 0. What is r?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58.000000109 - -58. Round b to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 489\/(-2934)*((-7)\/((-252)\/64) - 2)\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 0 + 1\/6*s**6 + 405\/2*s**2 - 5*s**5 - 33*s - 150*s**3 + 295\/6*s**4. Factor d(p).\nAnswer: 5*(p - 9)**2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 10 - 6\/(-2) - -1. Let b(w) = -w**2 + 16*w - 1. Let j(k) = 1. Let q(o) = b(o) + 4*j(o). Let l be q(16). Sort f, 2, l.\nAnswer: f, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 7*j**2 - 6*j + 9. Calculate d(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 157 = 5*j, -s + 2*s = -j - 33. Let k = -29 - j. Factor 0 - 2\/5*q**2 + 1\/5*q**3 + k*q.\nAnswer: q**2*(q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n**2 + n - 2. Let m(o) = -o**2. Let t(u) = -a(u) + 4*m(u). Suppose 1217 - 1175 = -21*k. Determine t(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 300*m + 5108*m + 1542*m to the form j + i*m and give i.\nAnswer: 6950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -8)*(3 + -1). Let x be 6\/14*(-35)\/(-20). Which is greater: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 9488, -45 in increasing order.\nAnswer: -45, 3, 9488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4)*(1 + -1). Suppose z*y + 24 = 2*y + 4*n, 0 = 5*n. Suppose -35 = 2*u - 7*u. Calculate the remainder when y is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7228.\nAnswer: 2, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 62 - 41 = -4*o, -4*b - 4*o = 68. Let r = -14 - b. Solve 11*k + r = 12*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Suppose -3*b + 4*b = n. Suppose 0*f + 4 = -2*f. Is b less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x + 16 - 44 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 8 = -0*j. Suppose j*d + 1 = 3. Suppose k + n = 7, -k = -n - 4 + d. Put -5, 2, k in decreasing order.\nAnswer: k, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2)\/(q*q**(-1\/2)))\/(q**(-2\/5)*q)**(8\/3))\/((q**0\/(q**1\/q))\/(q**(-2\/5))**(-28)) assuming q is positive.\nAnswer: q**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138)\/(-34) - 4 - -11*542\/374.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153\/((-189)\/21)*5\/5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 105*m**2 + 548*m + 41. Suppose 0 = y - 2*y + q + 340, -2*q = 0. What is the remainder when y is divided by s(5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (72\/(-24))\/((-2)\/6). Let q(x) = -o + 3*x + 26 - 16 - x**3 + 4*x**2. Calculate q(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 2*d - 2*d**2 - 22 + 12)*(0*d**3 + d**3 + d**3).\nAnswer: -4*d**5 + 4*d**4 - 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1915875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**(-9\/2)*y*y)\/y**(2\/15))\/(y**13*y*y**(-6)\/y))**23 assuming y is positive.\nAnswer: y**(-5267\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxe when three letters picked without replacement from xwnonpep?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t - 7. What is y(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 652578*a**2 - 571988 wrt a?\nAnswer: 1305156*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + 0*y + 0*y)*(73 - 31 - 32).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, v: 8}. Give prob of sequence vkv.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**3 + p**2 + 2*p + 1. Let y be s(-1). Suppose y*a - 10 = -0. Let q be (-69*(-8)\/12)\/a. Solve -r - 6 - q = -5*b, 0 = 2*b + 5*r + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1625*y + 14. Is f(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1081670 - 5408349\/5. Let 107\/5*z + 106\/5*z**2 + r = 0. What is z?\nAnswer: -1, -1\/106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2. Let n(z) = 1496*z - 204. Let l be (8\/(-20))\/(14\/(-175)). Let x(i) = -73*i + 10. Let q(t) = l*n(t) + 102*x(t). Calculate y(q(w)).\nAnswer: -3468*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*i**4 - i**3 + 73*i**2 + 2 wrt i.\nAnswer: -768*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -103, -3 in decreasing order.\nAnswer: 0, -3, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10084495 (base 10) to base 9\nAnswer: -20870284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8379004.4 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1. Suppose -t = -0*y - y - 4, 4*t = 2*y + 10. Let z(c) = 5*c + 1. Let p(s) = t*z(s) + 3*m(s). What is the units digit of p(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 4*(5 + (-12 - -14) + -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*q - 82 + 530 = -132 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 + 15797*h + 2*h**2 - 342*h.\nAnswer: -h**2 + 15455*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 3*k**2\/2 - 2*k - 13882. Let i(j) = -5*j - 5. Let b(y) = -6*y - 6. Let a(f) = 4*b(f) - 5*i(f). Calculate a(p) - o(p).\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-20))\/((-4)\/48).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 2 = 2*o, -3*s = 6*o - 4*o - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. Let v be -1*(2\/5 + -1). Which is the second biggest value? (a) z (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -49, -152, -345, -658?\nAnswer: -1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 7 + 22. Suppose -5*u = -u - 336. What is the remainder when u is divided by b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 7) in base 16?\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g = 0. Let c = -1 + g. Let l = 0 + -2. Is l at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**5 - 5*q**4 - 5*q**2 - 7*q + 5. Let m(f) = 4*f**4 + 4*f**2 + 6*f - 4. Let a(h) = -5*m(h) - 4*x(h). Find the second derivative of a(p) wrt p.\nAnswer: -80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.602176 rounded to two decimal places?\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 - -47. Let d = -6 - l. Let s = d + -6. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2322 and 7398?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/551 - ((-1565)\/(-435))\/1.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 113\/6. Sort r, 1, 3 in ascending order.\nAnswer: r, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 58*l. Let m(j) = 12*j - 9. Determine v(m(b)).\nAnswer: 696*b - 522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 + 5. Suppose 5*v - 30 - 28 = -4*f, -3*v + 42 = 3*f. Let d = 6 - f. Let c(b) = b**2 - 1. What is d*c(k) - w(k)?\nAnswer: -2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 20*t**2 + 5*t + 17. Let p(k) = k**2. Let q(n) = f(n) + 4*p(n). Let a be q(-4). What is a rounded to the nearest 10?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -2*w + 8*w. Suppose -w + 359 = 4*g. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 15*u**3 - u**2 - 2*u - 7. Let d be w(-5). Let t = -7499\/4 - d. Calculate the common denominator of 3\/5 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/7 + 23*o**3\/7 + 107*o**2\/7 + 85*o\/7 = 0.\nAnswer: -17, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 - -68. Suppose 0*p = -p - b*p. Solve -4*c = -p*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8039, 7684, 7337, 6998, 6667?\n\"Answer: 4*p**2 - 367*p + 8402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 9) to base 8\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5770 is divided by 1903?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -10*g - 4. Determine l(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2183550440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*l - 240*l + 9 + 304*l.\nAnswer: -124*l + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-6))\/((-2)\/(-8)). Let r be -1 - -6 - (-4 + z). Does 10 divide (0 - -8)*r\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99501, -198995, -298479, -397947, -497393?\nAnswer: -596811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18648\/230)\/(-7) - (-4)\/10. Let c = 18\/23 + y. Which is bigger: c or -11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14148568 is divided by 143.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2.1 (b) 0.4 (c) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(180) - sqrt(40)\/(sqrt(288) - -2*sqrt(288)))*4.\nAnswer: 20 + 430*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*v + 12 = 2*c, -4*c = 3*v - 4. Is 1270\/c*(-42)\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265 - 2977 = 24*d + 254*d + 9798 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 14027 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: Let w(s) = -8*s**3 + 3917*s**2 + 1164*s + 149940. Determine w(490).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -12*i + 4. Suppose -8 = 4*r + 8. What is the tens digit of q(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by -629637.\nAnswer: -15\/209879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2757288332?\nAnswer: 2, 29, 23769727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -324 + 226. Let a be -3*(x\/(-6))\/(-7). Let z = a - -13. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 52*f**2 - 129*f**2 - 82*f**2.\nAnswer: -263*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 42*i = -40*i - 4, s = 4*i - 8. What is the closest to -3\/8 in 3\/4, -3, s, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*a + 157 - 88 - 64.\nAnswer: -42*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/7 + 27907058*g - 1362906800876887 = 0. Calculate g.\nAnswer: 97674703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*k + 182*k - 108 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w + 16 - 16)*(20 + 19 - 62)*(-3 - 2 + 3).\nAnswer: 276*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1960 divided by -196.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/33)*l*l*l*l*l**16\/l assuming l is positive.\nAnswer: l**(629\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -28*b**2 - 5*b + 8. Let q(r) = -19*r**2 - 3*r + 5. Let l(x) = 8*q(x) - 5*v(x). Give l(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2. Let u = 20 + -18. Let t(j) = -2*j - 5. Let c be t(-4). Let s(a) = -3 + c - a**u. What is d(s(i))?\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4*(291 + -3). Suppose -18 - s = -2*i. Suppose y = -0*y + i. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0519 and 1\/326 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77490 is divided by 2583?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656 + 92*q**2 + 1676 + 19.\nAnswer: 92*q**2 + 2351","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 13, 3, -87, 5, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2491 - -2495. Suppose -4*b + 3*i = -8*b + 22, -3*b + 4*i = -4. Let w = 6 + b. What is the highest common factor of z and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -3023322?\nAnswer: 3023331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12423222*x**2 + 0 + 0 + 12423187*x**2.\nAnswer: -35*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 0*l - 33*l**2 + 4 + 34*l**2. Let i be p(0). Suppose i*n + 4*u = 852, 0 = 5*n - 5*u + u - 1047. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*q + 5*h + 25, -4*q + h = 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.18926*-0.1345\nAnswer: -0.02545547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-5 - 5)) + -6 - (0 - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q = -26*q + 864. Let y(b) = b**3 + 9*b**2 - 3*b + 6. Calculate the remainder when y(-5) is divided by (-3648)\/q - 2\/6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17043168 by -96.\nAnswer: -177533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10505 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1038)\/4*(-16)\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 - 152*o**3 + 5776*o**2.\nAnswer: o**2*(o - 76)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Solve 3*s - 3 = n, d*s = 4*n - 3*s + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a + 11*a + 28 - 4*a - 7*a to g + j*a and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzzzzggrmgrmbbz. Give prob of picking 1 r and 3 z.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 32\/3. Let m = 1004 - 1004.1. Which is the third biggest value? (a) m (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -722 - -798.7. Let v = 80 - b. Round v to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/17, 4, 2\/47, -2\/327?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmmmmmlllmlpupp. What is prob of picking 1 m and 1 l?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2173115?\nAnswer: 5, 7, 29, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 140 = 264. Factor -68*r - l*r - 5*r**2 + 150*r.\nAnswer: -5*r*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 869657 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*(3 + sqrt(832)))**2.\nAnswer: 12288*sqrt(13) + 215296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 4*z - 56. Let l be 4 + -4 + 10 + 0. Suppose -5 + l = n. What is the remainder when z is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gncnuufs. What is prob of picking 1 u and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sws when three letters picked without replacement from swwswwsswwwswwswwww?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 17*j**3 - 22)*(9 + 6 + j + 14).\nAnswer: -17*j**4 - 493*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5003726, 10007459, 15011190, 20014919, 25018646, 30022371, 35026094?\nAnswer: 40029815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-205)\/((-15170)\/444)*17\/(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*(sqrt(448) - (0 + (sqrt(448) - (sqrt(448) - (sqrt(448) + 1)))) - sqrt(448)))**2.\nAnswer: 64*sqrt(7) + 7169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l + 11216 - 22435 + 11219.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i**2 + 39*i**2 + 11*i**2 + 38*i**2 + 1 in the form x*i**2 + q*i + t and give x.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1347*w - 3 + 43*w**2 + 1347*w - 2694*w. Suppose -x + 2*b = 4, 4*x + 5*b - 22 = 14. Is l(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53250083 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -773*w - 792*w + 1654*w + 3026 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by -44894.\nAnswer: -25\/22447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from zmdmzrmzdmrmz?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 17448620?\nAnswer: 17448624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -242*h + 238*h + 5*l + 448667, 2*h + 4*l - 224314 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, c: 1, t: 2}. What is prob of sequence tc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 557921.1 centuries in millennia?\nAnswer: 55792.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*p + 3*q, -2*q = -2 + 10. Suppose p = -3*t - r + 1014, -t + 6*t - 1673 = 4*r. Does 62 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428305013.\nAnswer: 59, 7259407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 70942169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 501783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 5880*g + 35243. Give z(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 8*j. Give g(11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -233110634 less than -773257?\nAnswer: 232337377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5 - 1.57. Let b = q + 0.01. Let t = 0.02 - b. Round t to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.82 + -0.18. Let k = g - -5. Let c = k - -4. What is the closest to 1 in 1, c, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164 divided by 164\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 903*q**3 + 294*q**3 + 201*q**3 - 80*q**3.\nAnswer: 1318*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2309538?\nAnswer: 2, 3, 7, 11, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 4*b**5\/5 - 25*b**4 + 536*b**3\/3 - 256*b**2 - 1152*b - 5176. Determine v, given that c(v) = 0.\nAnswer: -1, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-60) + 8\/(-90). Let d(j) be the first derivative of -c*j**3 + 2\/3*j + 1\/6*j**2 + 2. Let d(l) = 0. What is l?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*c**3 - 43*c**3 + 45*c**3)*(-2*c + 3 - 3).\nAnswer: 58*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36.6 - 37. What is the biggest value in x, 3\/7, -5\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 16088*n + 16085*n = -30, d = 2*n - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -3, -5, -12, -533 in descending order.\nAnswer: -3, -5, -12, -18, -533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q + 39. Let h be t(-5). Solve -2*u + 12 = 4*i, -i - h = -5*u - 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18034136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130033963*j - 138419248.\nAnswer: -130033963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 930 + -985. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - 1. Suppose 83*q - 20 = 88*q. What is the second smallest value in 1, a, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9903.601 weeks in microseconds?\nAnswer: 5989697884800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((49 - 4*b - 49)*(1 - 1 - 6) + 4 + 3*b - 4)*((-1 + 2 + 0)*(-3*b + 4*b - 3*b) + 218 + 30*b - 218).\nAnswer: 756*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116175300 and 131100?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 705881 and 385026?\nAnswer: 4235286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3704957 a multiple of 900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24*(-7)\/(-140))\/((-3)\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13864 and 212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*s**2 - 320 - 159*s.\nAnswer: (s - 320)*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - r - 1906. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27350255 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h - 3*h + 1230*h**2 - 3332*h**2 + 5 - 5*h to c*h + s*h**2 + l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -3*n + 0 - 5\/12*n**4 - 3*n**2 - 1\/20*n**5 + 2\/3*n**3. Calculate t(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2)*12\/6. Suppose 4*r + 4*p - 32 = 0, 2*p + n*p + 48 = 3*r. What is the highest common divisor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and -0.2.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 37 + 3. Let s(k) = -k**3 + 20*k**2 - 18*k - 17. Let u be s(19). Solve 5*p = -m, u*p + 3 + 6 = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -2. Let g(n) = 286*n - 31. Is g(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3. Let h(p) = -6*p**3 - 36521227*p**2 + p + 36521227*p**2. Calculate -g(z) - h(z).\nAnswer: 7*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28789*z**2 + 21226*z**2 + 189*z - 192*z.\nAnswer: 50015*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16771 + 16771. What is the closest to -6 in -24, j, -1, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -2\/7 (b) 3 (c) 1 (d) 2 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 31\/2)*8\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/7 + 2704*l\/7.\nAnswer: 4*l*(l + 676)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29a7 + -13?\nAnswer: -29ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 4) + -1 + -2 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + w + 3*w)*(-46 + 46 + 93*w) + 9*w**2 + 10*w**2 - 6*w**2.\nAnswer: 106*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + c**2 + 0*c**2 + (4*c - 6*c + 3*c)*(-2*c + 0*c + 0*c) + (-1 - 2 + 2)*(-4 - 2*c**2 + 4).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*w - w. Suppose 0 = w*h + h - 8. Find the first derivative of 3 - 1 + h*t + 0*t wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11294388.\nAnswer: 2, 3, 7, 44819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j - 14. Let k(o) = o - 1. Let c(m) = b(m) - 10*k(m). Let x(d) = -7*d - 4. Calculate -6*c(h) + 7*x(h).\nAnswer: -h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-16 - (0 - -2)). Let k be 0*(2\/(-13) + (-45)\/(-39)). Suppose 13*a + 257 - 1297 = k. What is the greatest common divisor of x and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 10*n**2 - 3*n + 12. What is the remainder when r(-10) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*s + 7. Suppose 2*d = x - 21, -2*d = -5*x + 6 + 59. Suppose j - m + 4 - x = 0, 4*j - 3*m - 23 = 0. Solve j*w = -s*w + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 8:59 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*r - 5087 = 0, 3*v + 838 = -r + 16127. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*q + q. Suppose 5*s + 10 = 5*m, -m - 3*s + 15 = 3*m. Suppose k + 16 = -m*k. Is k < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-10)*(-36)\/(-54)*2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**7\/105 + 7*n**6\/75 + 9*n**5\/25 + 2*n**4\/3 + 8*n**3\/15 + 2*n + 217. Solve z(q) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 3*b**2 + 23. Let x(r) = 2*r**3 - 4*r**2 + 24. Let q be -3*((-3)\/(18\/8) - 0). Give q*u(j) - 3*x(j).\nAnswer: -2*j**3 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20930 + 20926. What is the third smallest value in 244, u, -5?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3668*m**2 - 5 - 716*m**2 + 5.\nAnswer: 2952*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3733.\nAnswer: 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/2 - 2852*l**3 + 8196285*l**2\/2 - 88784091*l.\nAnswer: l*(l - 2841)**2*(l - 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3051796 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 32 - 10. Calculate the smallest common multiple of v and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 506000 and 442750?\nAnswer: 3542000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 17*i**3 + 4*i**2 + 2*i + 1359. Let w(g) = 41*g**3 + 10*g**2 + 5*g + 2719. Calculate -5*b(k) + 2*w(k).\nAnswer: -3*k**3 - 1357","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2. Let j(g) = 31*g**2 - 2*g. What is x(j(b))?\nAnswer: 2883*b**4 - 372*b**3 + 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -10*r + 177 + 341 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.0779 + -0.0779. Let s(i) = -i**2 - i + 2. Let u be s(-3). Which is the fourth smallest value? (a) u (b) 2 (c) t (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3258 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.12 and 2469?\nAnswer: 2468.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.6, 200, 5\/4 in increasing order.\nAnswer: 5\/4, 3.6, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t. Let d(c) = -5*c. Let b(v) = -3*d(v) + 8*m(v). Let x(h) = 6610*h - 14 - 6609*h + 43. What is b(x(p))?\nAnswer: -p - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11381 - -11395. Let q(r) = -r**3 + 15*r**2 - 16*r + 20. Calculate q(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -29.7877 and -3.028628.\nAnswer: -32.816328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -128583 and -128584 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. Suppose -u + 6 = c*u. Solve -u*f - 3 = -9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by (-2 + -2 - -1) + 11 + 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 3*t + 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/9))**(1\/3)\/(a**(-24)*a\/(a\/(a\/a**(-12)))) assuming a is positive.\nAnswer: a**(296\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 744 + 6420*x - 10*x**2 - 2034*x - 2530*x = 0.\nAnswer: -2\/5, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2684*v**3 + v**2 - 39*v + 7 wrt v?\nAnswer: -16104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1226, -1225, -1224, -1223, -1222, -1221?\nAnswer: -1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Suppose -x*q = -q - 20. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57117.94l in millilitres?\nAnswer: 57117940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 3*f - f)*(f**2 + f**2 + 0*f**2) + (f + 3*f - 7*f)*(17*f - 9*f**2 - 17*f).\nAnswer: 31*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*n - n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -159 + 791\/5. What is the closest to 1\/4 in -5, 2\/3, k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**5 + 3*z**4 - 2*z**3. Let f = -63 - -66. Let o(r) = -r**5 + r**4. Let s(t) = f*o(t) - m(t). Factor s(p).\nAnswer: -2*p**3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 - -0.0635. What is m rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, k: 3, p: 1, y: 2, o: 3, e: 1}. What is prob of picking 1 k and 1 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-8)*9\/(-270))\/(2*1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*g**2*x - 816499*g**2 - 2*g*x - 7312*x with respect to x.\nAnswer: -25*g**2 - 2*g - 7312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 441*c - 453*c + 96 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 0*x + 21*x - 2 + 52*x - 8*x. Let k(m) = -21*m**2. What is p(k(u))?\nAnswer: -1365*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 24 = 2*k, -k - 3*g - 10 = -2*k. Sort 0, k, -119 in ascending order.\nAnswer: -119, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/8 - 12\/16. Let u = -7 - 6. Sort -3, 6, u, n.\nAnswer: u, -3, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 - 3*i - 4. What is the smallest common multiple of 4 and w(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -54. Suppose z = -f*s + 22, z = s - 4 + 2. Sort z, -1, 0, 9 in decreasing order.\nAnswer: 9, z, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 192*v**3 + 190*v**3 - 12284 - 577*v**3 - 3505 + 194*v**3 in the form p*v + r + b*v**2 + o*v**3 and give r.\nAnswer: -15789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/468)\/((-2)\/(-6))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1987.\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -1\/6 (c) -1\/30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**6 - 68355*a**5 + 987834*a**2 wrt a?\nAnswer: -120*a**3 - 4101300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 7:36 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i**4 - 114*i**3 - 319*i**2 - 264*i - 52 = 0. Calculate i.\nAnswer: -13, -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a micrometer in nanometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -110*s - 9. Let d(b) = b**2 + 7*b + 1. Let a be d(-2). Let f = a + 4. Is k(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-6)\/(-3))\/((646\/(-119))\/19)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -5\/6*w**3 + 1\/12*w**4 - w**2 - 8*w + 0. Determine a(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9, -15, -31, -63, -117, -199?\n\"Answer: -n**3 + n**2 - 2*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 12 = 4*w - 2*r, -w + r = 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2225 - -2224. Sort 0.4, c, 44, -9, -5 in ascending order.\nAnswer: -9, -5, c, 0.4, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*w + 65, -4*w = -5*w - 3*v - 13. Suppose -6*m + 18 = -4*m. Let f = m - w. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-12)\/6*(-3)\/(-78)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10451, 8500, 6549?\n\"Answer: -1951*b + 12402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*c + 31. Let a = c - 8. Suppose a*u - 2 = -2*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 613 (base 11) to base 12.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -53 (b) -4 (c) -216\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 249 = 3*o, -o + 321 = 3*o + 3*b. Suppose -5*p + 212 = -o. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -s + 144 - 11, 155 = 5*n - s. Solve -a - n = -4*a - 5*f, -20 = -2*a - 3*f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -233 or -0.068?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**3 + i**2 + 2*i. Suppose 2*o - 10 = 2*p, -o - 4*o + 19 = -4*p. Let j(h) = 4*h**3 - h**2 - 3*h. Calculate p*d(s) - 4*j(s).\nAnswer: 2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6490, 6776, 7062?\n\"Answer: 286*y + 6204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 922140 and 3270?\nAnswer: 922140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*s**4\/3 - 307*s**3 - 1762*s**2\/3 - 323*s + 14\/3 = 0. What is s?\nAnswer: -7\/2, -2, -1, 1\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -162638*p. Let b(h) = 27*h**2. What is u(b(k))?\nAnswer: -4391226*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 646 a factor of 373165776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 1\/508720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 12:33 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9055 + 0.1.\nAnswer: -9054.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 9756?\nAnswer: 48780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2. Let x(j) = 3*j**2. Let k(n) = 5*q(n) + 2*x(n). Let y = 3 - 1. Let r(u) = 6*u**2 - 6*u**2 - y*u**2. Give r(k(p)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6)*0 - -44. Suppose -11*q + 209 = v. Suppose 4*o - q = m, -5*o = 4*m - m - 6. Sort 2, -5, m in decreasing order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1713096 and 112.\nAnswer: 3426192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -5. Let c = 15 - 14.87. Let f = -3.13 + c. Which is smaller: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17*530\nAnswer: 9010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232948 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4035696 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 162383266 to the power of 1\/3, to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*a = 6 + 3, -5*t - 4*a + 17 = 0. Solve t + 0 = -5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - 64757\/(-35)) + (-84)\/(-105). Calculate the greatest common divisor of y and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**2 - 1 + 6*i + i**3 - 5\/2*i**4. What is the second derivative of r(g) wrt g?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 7*h + 266. Let l be d(20). Solve -27 = 2*f + 5*q, 9*q + l = 5*f - 34 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.8991 + 23.\nAnswer: 16.1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c - 33. Let i be y(8). Is -1 - (38122\/(-6) + i\/(-21)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = 15*z - 359. Suppose -12 + z = u. Factor -28*i**2 + 8*i + 7*i - 8*i + 16*i**3 + 7*i - u.\nAnswer: 2*(i - 1)*(2*i - 1)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 68.91547 litres?\nAnswer: 68915.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s - 4 + 4. Let t(o) = 2*o. Let v(p) = 5*d(p) - 9*t(p). Let u(a) = 8*a. Let x(f) = f. Let n(q) = -u(q) + 6*x(q). Give v(n(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5121 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**4\/4 - 8*y**3\/3 + 2*y**2 - 2*y + 1. Suppose -10*i = -13*i + 24. What is the tens digit of q(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 372*y**2 - 230*y - 1184. List the prime factors of w(-5).\nAnswer: 2, 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = -4*d, -5*z - d + 0*d = -9. Let x(k) = 0*k + k**z + 3*k + 2 - 6 + 0*k. Let f be x(4). What is the highest common factor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 195 + -194. Let l be (-3 - -1) + (5 - -3). Let p be 2\/(-20) - l\/15. Which is the nearest to d? (a) 0.4 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 179 (base 11) to base 16\nAnswer: cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 129*f**3 - 8.\nAnswer: 387*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 11*q**2 + 4*q + 61. Determine h(8).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.89 + -4.89. Which is the third biggest value? (a) -0.1 (b) 1 (c) y (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-750)\/(-30) - -7) + (-127 - 3)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 16 - -8 - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -29 + 24. Let a(w) be the second derivative of 1\/4*w**f + 0*w**2 - 4*w + 1\/4*w**4 + 0*w**3 + 0. What is the third derivative of a(s) wrt s?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*p**2 + 9*p**2 - 16*p**2 + (-p + 2*p + 0*p)*(-2 + 2 - 2*p) - 4 + 4 - 2*p**2.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(-1\/2)\/m*m)\/m*m*m)\/(m*m**0))**(15\/8))**(9\/5) assuming m is positive.\nAnswer: m**(27\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - -19. Is 29 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 0, 4, 58.97, -2, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 25*v**2 - 28*v - 97. Calculate r(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 3)*(s - 2*s - 3*s)*(13 - 2 + 1)*(2*s + 0*s - 3*s) in the form y*s**2 + k + n*s and give y.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 - 90. Let t(w) be the third derivative of 0 - 1\/270*w**5 + o*w - 4*w**2 - 1\/108*w**4 + 2\/27*w**3. Suppose t(q) = 0. What is q?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 11 + 21 = 0. Suppose -2*o - 2 = -3*o. Suppose a = -5*d - o*a + 15, -3*d + 5*a = -43. What is the least common multiple of m and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuqqquuu. What is prob of picking 3 u?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 7:15 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x - 2. Let d = 5 + -3. Let h be s(d). Let a(m) = 3*m - 8. What are the prime factors of a(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 16*z**2 - 28*z - 7. Give m(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 36*a**2 + 7*a - 12. Is m(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11080039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*z = -0*u + 14, -4*z = -2*u. Let i(g) = 4*g + 5*g + 5*g**2 - 5*g - 8. Is 12 a factor of i(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 + -1.94. Let y = -1.5 - i. Let v = -101 + 99. Which is the biggest value? (a) 0.2 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 + 3 + -3 + (1 + -34 - (772 + -794)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 6. Let u = 124 - g. Let k(y) = 12*y**2 + 1. Let h be k(1). What is the highest common factor of u and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h - 4*b - 148, 2*h + 4*b - 62 = 0. Let j = h - -11. Let l = j - 27. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y - 9. Let t be o(3). Suppose -t*d + 34 = -2*d - 5*z, -4*d - z + 31 = 0. Let u = d + 15. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34592 and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75.3 + 79.3. Which is the closest to 2\/31? (a) -2\/3 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9189692ug in tonnes?\nAnswer: 0.0000000000009189692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/70 and -77\/150060?\nAnswer: 1050420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/(s*(s**(-5)\/s)\/s))))\/(((s\/(s*s**(2\/23)\/s))\/s)\/s)*s**(-1\/7)*s\/((s*s**(2\/15)\/s)\/s) assuming s is positive.\nAnswer: s**(23693\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 1293419 and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 1889693*x - 20786734. What is m(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 6*n + 33. Suppose 5*l = -b + 4, 32 = -5*b - 0*l + l. What is the remainder when 263 is divided by i(b)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-777)\/462 - (-69)\/161*((-14)\/4)\/(-1).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-490)\/63 - 2\/9. Suppose 0*w + 2*w - 22 = 0. Let f be c\/(-28) - w\/63. Put 3, -0.3, f in descending order.\nAnswer: 3, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107b (base 14) to base 7.\nAnswer: -11214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -141 and -0.2?\nAnswer: 28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -352, -694, -1036, -1378, -1720?\n\"Answer: -342*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.053 + -30.947. Let h = f - 16. Let i = h + 43. Which is the second smallest value? (a) i (b) 15 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.18 - -0.56. Let i = -0.02 - r. What is the third biggest value in i, -2\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*16073\nAnswer: 32146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 0*v**5 + 17\/6*v**6 + 0*v**2 + 3\/2*v**4 + 0*v + 211\/3*v**3 + 172. Find the third derivative of k(q) wrt q.\nAnswer: 1020*q**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - h = 0, -8*b + 6*b - 5*h = 9. Let o(w) = 4*w - b*w - 374 + 374. Let z(q) = 14*q. Calculate -77*o(k) + 6*z(k).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 4. Suppose -2*s + 3 = -r + 2*r, 0 = r - 4*s - 3. Let o = r - 3. What is the closest to o in u, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/30510 and -71\/3955.\nAnswer: 213570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -159.197 + 0.197. Let n = -296.0242751 - -455.024252. Let k = n + s. What is k rounded to six decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g - 4. Suppose y + 208 = 238. What is the remainder when y is divided by c(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 666239931 to the nearest integer?\nAnswer: 25812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*i**2 + 105*i**2 - 9*i**2 + (-2*i - 2*i + 3*i)*(-5*i + 2*i + 2*i) + 2*i + 6*i - 192*i**2 - 9*i + i to u*i + q + r*i**2 and give r.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 10 - 2. Put 5, l, -1 in descending order.\nAnswer: 5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7\/4 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**3 - 2*b**2 - b - 1. Does 12 divide j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-524)\/(-26) - (-2)\/312*-24.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/335 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 6. Let f be s(-6). Suppose -47*j - 770 = 107*j. Suppose -3*z - 12 = -4*k, 5*z = -k + 1 + 2. Put f, j, k in ascending order.\nAnswer: j, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 140*o + 62260. Determine n(-441).\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30463299 is divided by 1436.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 458 divide 38199656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3\/15 - 508*g**2\/15 - 7296*g\/5 + 470016\/5 = 0. Calculate g.\nAnswer: -144, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001141702179 to 6 dps.\nAnswer: -0.001142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(495)\/sqrt(9) + sqrt(55))\/sqrt(5)) + 6*(0 + sqrt(11)).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11697877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -53. Solve i = s - 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.203 - 3.797. What is the closest to 0.04 in -2\/9, 0, r, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 407 + -407. Sort u, -4, -3 in descending order.\nAnswer: u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19181 - 17773. What is the smallest common multiple of g and 336?\nAnswer: 29568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7808057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3250143.29 rounded to the nearest one hundred thousand?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 8. Let u be (-88)\/14 + (-2)\/t. Let m(w) = -w + 1. Let k(y) = 5*y - 4. Let x(s) = -k(s) - 4*m(s). Calculate x(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2783 + 3049. What is the remainder when c is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-9)\/6)\/((-30)\/12).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brr. What is prob of picking 1 r and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**4\/6 + 6*c. Let b(u) = 5*u. Give w(b(y)).\nAnswer: 50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-12) - (-333)\/(-12). Let l = 29 + j. Let y(r) = 5*r + 6 - 10*r + r**l + 0*r**2. Let a(t) = -3*t**2 + 14*t - 17. What is -6*a(o) - 17*y(o)?\nAnswer: o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -100715480 divided by -2962220?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 22 + 1 - 6*h - 2*h**2 + 3*h**2 - 6. What is the units digit of a(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-3))\/(((-13)\/((-3900)\/(-15)))\/(-1))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 143412 (base 5) to base 2\nAnswer: 1011111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8502 and 2507?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1059429 is divided by 26485?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1011100001011011000 (base 2) to base 14\nAnswer: 9b848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a day in hours?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7 = -11. Let p(l) = l**2 + 3*l - 3. Let z(u) = u**2 + 4*u - 4. Let s(r) = v*p(r) - 5*z(r). Determine s(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176, 215, 254, 293, 332?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202011 - -1200?\nAnswer: 210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 592 - 592.409. Round b to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 1. Let d(o) = -o**3 + 2*o**2 - 6. Does 13 divide d(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1167318536 to three decimal places.\nAnswer: 0.117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.320053837 rounded to three decimal places?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-2))\/(6\/(-1500)) + -3. Let p = -14 + 34. Calculate the remainder when 13\/52 - i\/(-8) is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6100742336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 817 - 887.6. Let m = f + 58. Let o = m - -13. Put o, -3\/2, -2\/9 in descending order.\nAnswer: o, -2\/9, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/(m\/(m\/(m**(-20)*m))))\/m))\/(m\/(((m*m\/(m**(2\/135)*m*m*m))\/m)\/m))*m**24*m**(-31))**(-42\/5) assuming m is positive.\nAnswer: m**(54838\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 776*h + 22387. Determine x(-30).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -13*p + 420. Let s be z(37). Which is greater: s or -312\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.7789 rounded to one dp?\nAnswer: -25.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 63, -5, -29, 1743, 5 in descending order.\nAnswer: 1743, 63, 5, 2, -1, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2034 - 8378047\/4119. Let u = 127679\/41190 - g. What is the common denominator of -97\/22 and u?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -31. Let u be (-4)\/(((-2)\/c)\/(-1)). Suppose -30 = -2*p + u. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 8)*28\/(-9) + (-7)\/(-21).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417702.\nAnswer: 2, 3, 43, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + b. Let k(x) = -x. Let z be k(-1). Give c(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 546.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1323\/270 - 2\/(-20). Put 2\/5, b, -0.2, -4 in increasing order.\nAnswer: -4, -0.2, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -18\/17, 5, -5, -2?\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -484 and 0.5.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 2625*c**2 + 260283*c + 257655.\nAnswer: -3*(c - 965)*(c + 1)*(c + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-126)\/(-28))\/(-9))\/((-5)\/70)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*v = -1334, -2529 = -3*d - 4*v + 1538. Suppose -82*c - 4*k + 5444 = -78*c, c = -5*k + d. Does 22 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*k*x**3 + 29*k*x**2 + 2*s*x**3 + s*x + 7*x**3 + 4*x**2 wrt x?\nAnswer: 222*k + 12*s + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 324, 694, 1138, 1692, 2392, 3274, 4374?\n\"Answer: 6*h**3 + h**2 + 325*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 96, 150, 220, 306, 408, 526?\n\"Answer: 8*b**2 + 30*b + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in nineteen quarters of a second?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -441 - -782. Does 30 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -3*p - 0*f - 3*f, 15 = 3*f. Let a = p - -21. Let o = 0.05 + 0.35. Sort -1\/6, o, a in increasing order.\nAnswer: a, -1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2)\/((7\/(112\/16))\/110606) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 1, m: 2, r: 3, w: 2, t: 10}. Give prob of picking 1 z and 1 t.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/84 + 14\/(-12). Let u(a) = 27*a + 1. Determine u(k).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 40 = -20*h. Suppose -h*i + 3*v + 45 = 0, -3*i = -i + 5*v - 18. Calculate the least common multiple of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8553.14398*2.\nAnswer: 17106.28796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -628.944 + 629.244. Let x = 0.34 + 0.06. Which is the biggest value? (a) -6 (b) -4 (c) x (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 44 + 0*l + 21\/2*l**2. Let p(f) = f. Determine k(p(q)).\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3494, 5, 3, -0.1 in decreasing order.\nAnswer: 3494, 5, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 9:16 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 8*h + 10. Let l be (h\/(-6))\/(3\/9). Let k = 1 + l. Calculate the remainder when 2 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2173575, -4345613, -6517649, -8689683, -10861715, -13033745?\nAnswer: -15205773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1. Suppose -7*z + 3*z = 20*z - 144. Let r(o) = o + 1. Let x be (6\/(-7))\/((-5)\/(-35)). Determine x*f(d) + z*r(d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1790*k**5 + 39303*k**3 - k**2 + 727548*k + 2?\nAnswer: 107400*k**2 + 235818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 45*t**5\/4 + 3065*t**4\/2 - 44885*t**3 - 334050*t**2 - 72000*t = 0.\nAnswer: -160, -6, -2\/9, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -3*z - 9, 9 = -3*z - 137*d + 134*d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-8650)\/(-45) - (-14)\/(-63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 858 + -857.99999521. Round a to 7 decimal places.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 638303, 638292, 638267, 638222, 638151, 638048, 637907, 637722?\nAnswer: 637487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(5\/(-2))*5. Determine d so that 6*d - d + 2 + 2*d**y - 4*d - 3*d**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115735 - -180606. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -8780 (b) 0.76 (c) -2\/5 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2 + 60*n - 57 = 0. What is n?\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -914*s + 4958. List the prime factors of q(-14).\nAnswer: 2, 3, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*y - 116*y + 38*y)*((-2*y + 2*y - 5*y)*(2*y - y - 2*y) - 4*y - 2*y**2 + 4*y).\nAnswer: -507*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5502 - 77107\/14. Let z = 49519\/26 + -1907. Calculate the common denominator of z and n.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -136569, -136575, -136593, -136629, -136689, -136779?\n\"Answer: -r**3 + r - 136569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/9*9\/6. Let n(o) = -o - 1. Let p be n(j). Solve 2*a + 10 = -p*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-118)\/8)\/(22\/(-63624)) a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 30*b + 307. What is y(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8236 + 8135. Which is smaller: -75 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 20 + 18 = -4*y, -3*y = -5*s + 41. Let l = 22 - s. Suppose w + 3*w - l = 0. Which is the second biggest value? (a) w (b) -2\/17 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3274*v - 3 + 3 - 3321*v + 6672*v.\nAnswer: 77*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-438)\/657)\/((-2)\/30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12450 is divided by 3143.\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 5*s + 25, 4*b + 10*s = 15*s - 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-3)*b)\/(b*b**(-2\/13)))**22\/((b**(1\/2)*b)\/b**(-2\/7))**(-3\/13) assuming b is positive.\nAnswer: b**(-7317\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/(186\/(-403)*-13 + (-3214)\/536)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243500202 (base 6) to base 3.\nAnswer: 22202122102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1943905 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/25 and -11\/1070325.\nAnswer: 1070325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2212*n**3 + 642*n**3 + 1575*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/3549616 and 87\/86576.\nAnswer: 3549616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24875 - 1573. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 4)*(-i**4 - 3*i**4 + 2*i**4).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7003*i**2. Let f(v) = -2*v - 253. Calculate f(s(d)).\nAnswer: -14006*d**2 - 253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - t = 4, -f + 4*t = -3*f - 16. Suppose -11*i + 8*i + 189 = f. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flrcwhr. What is prob of picking 1 r and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i. Let k be c(1). Let w be (49\/(-28))\/(1\/k). Let s(v) = -v - 6. What is the units digit of s(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -16 and 3811100.9.\nAnswer: 3811084.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 6. Let s be v(7). Let p(t) = 4*t**2. Let i be p(s). Suppose 0*d - 9 = -i*m - d, -4*d - 6 = 2*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**3 + 939*a**2 - 226*a + 2109. Give w(-235).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6416 is divided by 2542.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157.4*4.\nAnswer: 629.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 595 - 571. Let r = -0.6 + 25.1. Let s = m - r. What is the second smallest value in s, -3\/2, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + (-33 - (7 - (30 - 11))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100101100010100010000 (base 2) in base 5?\nAnswer: -1322432443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 2*a + 135, -3*g - 97 = -6*g + 2*a. Calculate the remainder when 99 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2966122.9 rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -4. Let a be 26\/(-22) - l\/2. Suppose 15 = -3*x, -h + 3*x + 6 = -8. Is a at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/1050*(3 + -7)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - s**2 + 3*s - 3. Suppose 0*q = -3*q + 6, -2*q - 16 = 5*r. Let j be x(r). Suppose 6*k + 5127 + j = 0. Round k to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26040893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2 + 1.7. Sort i, 1, -0.2.\nAnswer: i, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2151 (base 6) to base 2.\nAnswer: 111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - q**2 - q. Give u(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3846, 7688, 11530, 15372, 19214, 23056?\nAnswer: 26898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3339 divided by -53?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 4*i**2 - 3*i - 3. Let c be k(4). Let l = c - -23. Let w(x) = 8*x + 5. Is w(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 4:24 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**4 - 5418 + 16*g - 15*g - 76*g**2 + 5416 + 2*g**4 + 0*g**4 + 3*g**3 in the form k*g**2 + z*g**3 + r*g**4 + f*g + w and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 3*m**5\/5 + m**4\/2 - 13*m**3\/3 + 3*m**2. What is the hundreds digit of k(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 0.03125865679.\nAnswer: -0.26874134321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = 2*j + 4*p, 0 = -j - 4*p. Let t = j + 9. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 - 2 = 0. Let y(p) = 5*p**2 - 2*p - 4. Let j be y(-4). Suppose h*t = -3*c + 68, -4*t = c + 3*c - j. What is the greatest common factor of 40 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462722701 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -90, -135, -178, -219?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 305666301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 2.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/12*(-18)\/(-28)*(-380)\/(-570)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.6? (a) 0.4 (b) -1 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) -3 (c) -15 (d) 35 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**4\/2 - 462*p**3 + 118647*p**2\/2 - 452028*p + 888888 = 0. What is p?\nAnswer: -407, 4, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.72 + 6.62. Let f = -0.9 + 25.9. Which is the second biggest value? (a) -2 (b) i (c) 0.5 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164172, -327908, -491644, -655380, -819116, -982852?\nAnswer: -1146588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {k: 12, n: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1100)*1)**2.\nAnswer: 40*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002089635 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/10 + 6907*c\/10 + 300699\/5.\nAnswer: -(c - 6993)*(c + 86)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294416 and 5528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 12:22 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*(sqrt(720) + 1 + sqrt(720))*-3 + -3 + ((sqrt(720) + 0)*-5 + sqrt(720) - sqrt(720)))**2.\nAnswer: 5712*sqrt(5) + 208276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 419800 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2*l = -16 - 12, -12 = -3*l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8181 by 1.\nAnswer: 8181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235 and 27589.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 3*u**2 - 2*u**2 - u**2. Let q(x) = -x**2. Determine q(w(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3112 and 3501?\nAnswer: 28008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/((-195)\/(-12))*105\/(-14)*1. Let r be (-2)\/(-5) + 223\/5. Let i be 30\/r + ((-1030)\/p)\/(-1). Round i to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -1192*i + 13098. Let o be w(11). Let s(k) = -k**2 - 5*k - 8. Let g be s(-4). Sort g, o, 2, -2 in descending order.\nAnswer: 2, -2, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8427741 + -8427741.4732339. Let t = -0.4735 - g. Round t to five dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*a - 12 = 0, 0 = -2*n + 2*a + 3*a - 6. Let b = -56 + 63. Let d be (4\/(-7))\/((-2)\/b). Solve -d*m = j + 3*j + n, -2 = 3*j + 2*m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3. Let t be (9 - 2\/d) + 1. Let l = 6 - t. Which is the closest to -2\/7? (a) l (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110744*t - 111170 wrt t.\nAnswer: 110744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52146*q**5 + 7*q**3 + 152324*q - 2.\nAnswer: -1042920*q**3 + 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -28*m**5\/5 - m**4\/12 - m**3\/3 - m**2\/2 + 12*m. Let d be a(-1). Suppose 357 = 3*s - 4*t, s - 2*t = -3*t + d. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 - k**2 - 2*k + 1. Calculate the remainder when i(-3) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2\/2 + 70*u + 135\/2.\nAnswer: 5*(u + 1)*(u + 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9636091 to the power of 1\/2, to the nearest integer?\nAnswer: 3104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -4*s**3\/3 + 6*s - 3. What is the derivative of v(g) wrt g?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2. Suppose -3*u + 0*d - 6 = -5*d, -3*d + 24 = 5*u. Let g(r) = -2*r + r + u*r. Calculate h(g(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**5 + q**5 + q**5 + (-2*q**2 + q**2 + 3*q**2)*(-2*q**3 + 0*q**3 - 3*q**3) + 1 - 1 - 2*q**5.\nAnswer: -13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68.57 - 2594558.\nAnswer: -2594489.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 3, z: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -24. Solve n = -5*y - 0*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0217734 - 0.02141. What is t rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)\/(p**3\/p)*(p**(-1)\/p)**(5\/7))\/((p\/(p*(p\/p**(-2\/7))\/p*p))\/(p*p\/(p\/(p\/p**(-1\/3)*p)))*(p*p**(1\/6))\/p**2) assuming p is positive.\nAnswer: p**(43\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 75440631841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136423*i**5 - 9124*i**2 - 14 wrt i?\nAnswer: -8185380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2517978*h + 308 = 2517985*h for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**2 - 4*z. Let j be x(-3). Let k be (-6)\/(-15) - 42*46\/(-20). Let d = k - j. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -111*c + 108. Let v be z(-7). Factor -291*m - 248*m - 290*m + 392 + 2*m**2 + v*m.\nAnswer: 2*(m + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*i + 4*i - 8 = 0, -3*c + i - 2 = 0. Suppose -f = -c*f - 18. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(243) - ((-1 + sqrt(3) + 0 + sqrt(3))**2 + sqrt(3)) - 5*((2*sqrt(27))**2 + sqrt(3))) + -4.\nAnswer: -556 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1656, 2214, 3738, 6708, 11604?\nAnswer: 18906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 260.8 and -0.1.\nAnswer: -26.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/2 - -3)\/3. Differentiate 1 - 5*z**2 + o*z**2 + 1 + 3*z**2 wrt z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (4 - -7) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 5)*(0 - 3 + 1)*(2 - 5 - 2)*(-5*f + 35 - 35).\nAnswer: 550*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76976 divided by -2.\nAnswer: -38488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 6778.304812.\nAnswer: -6777.804812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -170) + (-2 - -4 - 0). Calculate the greatest common factor of 126 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20\/19? (a) -0.5 (b) 6 (c) 246\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -532 divided by -1?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/2 and -61\/1372.\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from cwllcwcl?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 45 = -117. Let w be (1 + 1)*(u*1)\/(-4). What is the highest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = u - 13, 0 = u + 2*o - o - 8. Suppose 0 = 2*t - 13 - u. What is the remainder when 20 is divided by (t*1)\/(2 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 0.09738?\nAnswer: 0.29738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -121, 19, -1 in decreasing order.\nAnswer: 19, 5, -1, -3, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.24 or -11.3?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n - 218. Give v(-28).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 0*j + 3 + 10*j + j - 37*j**2. Let b(i) = -12*i**2 + 4*i + 1. Let k(z) = -11*b(z) + 4*l(z). What is the derivative of k(s) wrt s?\nAnswer: -32*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18220 and 18220?\nAnswer: 18220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110111 (base 2) in base 5?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 509\/24 - 64\/3. Let f = 8.6 + -5.6. What is the nearest to 0.1 in -0.3, k, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2153 take away 36.6?\nAnswer: 2116.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -706.131 - -0.131. Let b = p + 705. What is the closest to -0.1 in 36, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3671 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 5:16 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*l + 57*l = -88 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -49, -52, -75, -124, -205, -324?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/8 (b) -4 (c) 0.4 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*o - 138*o = -56*o - 15002. Which is bigger: 1155 or o?\nAnswer: 1155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)\/(2*sqrt(9)))\/sqrt(11) - sqrt(12)\/((sqrt(100) - sqrt(100)*-3 - sqrt(100)) + sqrt(100) + sqrt(100)))**2.\nAnswer: 1587\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d - 10*d + 3*d + 6*d - 3*d + 12*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2. Suppose 2*m - 5*m - q - 34 = 0, -3*q = -5*m - 38. Let o be (-2)\/m + (-798)\/(-35). Let a(h) = 11*h + 23*h + 20*h - o*h. Determine a(l(s)).\nAnswer: 62*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5 - (-2 - 3))\/5)\/1. Put 2, -1, y in decreasing order.\nAnswer: 2, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40152 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 t when four letters picked without replacement from {t: 10, v: 10}?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 8:37 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -732 + 732.0296. Round q to three decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3319306 is divided by 8489?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -59212*r**3 - r**2 - 29*r + 2. Let n be t(6). What is n rounded to the nearest one hundred thousand?\nAnswer: -12800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 3:12 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 2\/11, -4\/13, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4985337\/457 or -10910?\nAnswer: -4985337\/457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42031 is divided by 296?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -722*d**4 + 192546*d**3\/5 - 52312*d**2\/5 - 643464*d\/5 + 13568\/5 = 0. Calculate d.\nAnswer: -32\/19, 2\/95, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**3 - 2*d**2 + 2*d - 1. Let x be v(1). Differentiate -x - 4 + y - 6*y wrt y.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/7 + 110*c**3\/7 + 1510*c**2\/7 - 3750*c\/7 - 5148\/7 = 0 for c.\nAnswer: -13, -1, 3, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1319 rounded to one decimal place?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -46. Suppose f = 7 - p. Suppose f = 5*c + 619975 - 4619975. Round c to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -239 - -245. Is (-69322)\/33*h\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 11. Suppose -p - 263 = -4*i - 0*p, -b*p = 4*i - 278. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-0.07\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x - 4*x + 6*x)*(4 - 3 + 1)*(-87 - 84 + 282 - 101) as k + o*x and give o.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4, -2, 1727 in descending order.\nAnswer: 1727, 0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 224*o - 337. Give s(0).\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(425)*-4)**2.\nAnswer: 244800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211001 + -1010110121?\nAnswer: -1002122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 2*v + 0 + v**3 - 4*v**2 + 0. Let q be r(5). Suppose -5*i = 5*w - 2*i - 863, -w - 2*i + 174 = q. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71344, 143040, 214762, 286516, 358308?\nAnswer: 430144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, r: 1, b: 1}. Give prob of sequence rbc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*j**3 + 41*j**3 + 11*j**3 + (8*j - 3*j - j)*(3*j**2 + 2*j**2 - 4*j**2).\nAnswer: 87*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 158*t**2 - 50*t - 33. Let q(m) = 59*m**2 - 16*m - 11. What is 8*q(v) - 3*y(v)?\nAnswer: -2*v**2 + 22*v + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = -0*f + 2*p, 4*f + 5*p = -21. Let c be 1 + 4\/(-8)*f. Suppose 0 = -c*z + 4 + 2. Let t(r) = r**3 - 4*r**2 + 4*r - 3. Give t(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 29. Suppose -5*j - 3*i = -h*i - 14, -4*j - 2*i = -16. Solve f - 2 = b - 1, 2*b = f - j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -21\/4, 5, -273?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**3 - 114636*t**2 - 229284*t - 114644 = 0. Calculate t.\nAnswer: -1, 28661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 285, 162, -509, -1722, -3471, -5750, -8553?\nAnswer: -11874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.303335 * -210\nAnswer: 63.70035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7628 + -7569. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2\/15, -0.4, -10, -2\/129 in decreasing order.\nAnswer: 2\/15, -2\/129, -2\/7, -0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 + 155 - 3*c**2 - 155. Let g(d) = 2*d**2. What is w(g(z))?\nAnswer: -24*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.24, 1\/278, 1 in decreasing order.\nAnswer: 1, 0.24, 1\/278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*d + 2*f + 3, 0 = -4*d + 3*f - 7. Let j be (3 + d)*6\/(-4). What is the nearest to 2\/5 in 4\/7, -0.1, j?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 143\/4. Is 23 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*s**2 + 7*s**2 + 17*s**2 + (2*s + 3*s - 2*s)*(3*s - 1 + 1) as n*s + x*s**2 + r and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*i = -144*i + 5. Let v(c) = c**3 + 4*c**2 - 9*c - 8. Let q be v(i). Calculate the highest common factor of 24 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + m**2 + 2*m + 18. Let x be b(0). Let o = 21 - x. What is the derivative of 2 + 7 - 11 + 9*s**o wrt s?\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 89 = -w, -3*w - 4*s - 85 = 198. Let b = w - -102. Calculate the highest common factor of 279 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12111105*m**2 - 303*m - 427 wrt m?\nAnswer: 24222210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -4*n**5\/5 + 157*n**4\/2 - 154*n**3\/3 - 78*n**2 - 3102. Suppose q(l) = 0. What is l?\nAnswer: -1\/2, 0, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*w - 269*w = -2874. Let z be ((-18)\/w)\/(9\/(-6)). Is z at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, z: 9}. What is prob of sequence ll?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19416686 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -5. Let l(t) be the first derivative of 3 + 3*t + t**2 - 1\/3*t**3. Determine l(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20, -87, -198, -353, -552, -795?\n\"Answer: -22*d**2 - d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5*z - 1313, 16*q - 6715 = 11*q - 5*z. Suppose -q = 16*w - 4634. What are the prime factors of w?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*r + 14, -5*r - 1 = 5*c + 4. Suppose c*t = -g + 257, -3*g + 7*t = 2*t - 771. Is g a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -64 + 184 + -92?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*i - 14850000 = 0. What is i rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1066 and 2197?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103141034 + 213?\nAnswer: -103140421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 152 times -122\nAnswer: -18544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*g**5 - 498*g**2.\nAnswer: -1260*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.375.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4141, -4161, -4209, -4297, -4437?\nAnswer: -4641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((10\/(-6))\/5)\/((-17)\/153). Suppose 66*g - 182 = 61*g - 4*f, -f = r*g - 112. Calculate the remainder when 84 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*d**3 - 141*d**3 - 135*d**3 + 97*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c**2 + 9*c - 7. Calculate w(-4).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -68 and -25.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1837287 - 6*f**3 - 3*f**3 - 1837287.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxd when three letters picked without replacement from {x: 2, d: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 20 (b) -0.3 (c) 0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**4\/24 - g**3\/3 - 5*g**2\/2 - 1. Let l(v) be the second derivative of b(v). Let a(z) = z - 2. Determine -4*a(p) + 5*l(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - -135. Find the third derivative of 10*z**2 - 189*z**4 + 2*z**2 + s*z**4 wrt z.\nAnswer: -216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/115))**31\/(f**(6\/29))**(3\/7))**(-28) assuming f is positive.\nAnswer: f**(58624\/3335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 439, 680, 921, 1162?\nAnswer: 1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -119, -97, -59, -5, 65?\n\"Answer: 8*j**2 - 2*j - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*f + 45, x - 5*f + 2*f - 20 = 0. Let z = 19 + -16. Let r = 4 + 0. Solve -x*m - 18 = 2*n, z*n + m = -r*m - 22 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 10*t**2 - 469*t + 468. What is q(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -410 - -420. Which is the biggest value? (a) -2 (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 6 - 1 = 0. Is -7 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 25*y**3\/6 - 119*y - 75. Let h(b) be the first derivative of w(b). Determine h(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, u: 1, k: 4, e: 1, h: 4}. What is prob of sequence chc?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + s + 1. Let n(k) = 4*k**2 + 6*k + 6. Let h(d) = -6*f(d) + n(d). Let q(a) = 8*a**2. Give h(q(o)).\nAnswer: -128*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 240, 234, 228?\n\"Answer: -6*d + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 24, 132, -2.\nAnswer: -2, -1, 4, 24, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3135 (b) 0.4 (c) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210681.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiitiiutttiuitutit. What is prob of sequence tttu?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-8)\/(-24)*-3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37128710 rounded to the nearest 10000?\nAnswer: 37130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/((-8)\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 w when four letters picked without replacement from hjjjwwjjjjwwjww?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 1, 2, -2.815, 17\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)*-2)\/sqrt(7) + (sqrt(5) + 0 + -3)**2)*1.\nAnswer: -8*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75372, 74663, 72740, 68997, 62828, 53627, 40788, 23705?\nAnswer: 1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -27395.357 to the nearest ten.\nAnswer: -27400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.05 - 10.94. Let f = v + -0.01. Let z = 18 + f. Which is the smallest value? (a) 0 (b) -0.7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - l**2 - l - 2. Let u be w(-2). Let z(n) = 2*n**3 + 4*n**2 + 2*n - 2. Let a be z(u). What is the highest common divisor of a and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 502, 978, 1422, 1816, 2142, 2382?\n\"Answer: -3*l**3 + 2*l**2 + 491*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10211*b*k - 24638*b wrt k?\nAnswer: -10211*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -85. Let v = -108 + m. What is v rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.08 (b) -1456\/5 (c) 1\/2 (d) 2\/13 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 48 - 48 = 0. What is the least common multiple of 36 and j?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b = -0*b + 84 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -12\/5, -0.07?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + 0.4. Let f = -6944\/5 + 298607\/215. What is the nearest to f in c, 3\/5, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6*t - 8 = 0. Suppose 2*w - 3 = -x + 1, 5*w = -4*x + 25. Let g = -8 + x. Solve -j + g = t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/119? (a) -1\/5 (b) -2\/7 (c) 2\/11 (d) -4 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 347733857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 12 = 3*s + 4*i, -9 = 2*s - 3*i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.7 and 6?\nAnswer: 22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 437 or -1073?\nAnswer: -1073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 9*v - 3*v**4 - 9*v - v**3 + 14*v in the form m*v**3 + q*v**4 + h + d*v + c*v**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -5*s + 4*g + 8, 2*s + 3*g = -33. Which is the smallest value? (a) s (b) 5 (c) 0 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 7:57 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/11, -1, 1, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 4\/11 (c) 0 (d) -1\/3 (e) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 6:30 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 4418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (5136\/(-32))\/(-107)*((-1)\/6)\/((-14)\/(-5432))\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.446 - 177.954. Let f = d + 306.3. Let z = -135 + f. What is z rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 4312140.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g**2 - 10*g - 9. Let p be z(-1). Let d(l) = l**3 + 4*l**2 - 14*l - 15. Determine d(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/491 + -15229\/1964. Let p = -16194433\/100 + 161943. Let u = -3\/100 - p. Find the common denominator of t and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32226.\nAnswer: 2, 3, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 2. Let g(o) = -13*o + 4029. Determine g(b) + 6*x(b).\nAnswer: -b + 4041","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -14*49451\/(-8) - 86\/344 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 - 0.0899944. Round w to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d. Let t(z) = 4*z + 11. Let v(s) = -2*s - 6. Let n(l) = 6*t(l) + 11*v(l). Determine n(q(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-225)\/(-12))\/(201\/268)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - 8*x - 31 + 4*x + 3*x + 9 in the form b*x + p and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -25\/12, 5, 4630, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63090)\/7010*(-2)\/(8\/12).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -118 (base 9) to base 7.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/35672 and -9\/26411.\nAnswer: 2746744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*4\/(-36)*(-135)\/(-60)*-30?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qww when three letters picked without replacement from wwqwwqwqww.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 77 = 4*y - 13, 0 = 4*m - 3*y - 52. Suppose -m*p + 9*p = -2961. What are the prime factors of p?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 615521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**5\/20 + 5*c**4\/12 + 5*c**3 + 11*c**2\/2 - 52*c. Let z be k(8). Is 62 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**6\/120 - 67*w**5\/60 + 1269*w**3\/2 - 49*w**2 - 28*w. Differentiate j(s) wrt s.\nAnswer: 3*s**2 - 134*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**2 + 130*o - 23. Let z(r) = 14*r**2 - 518*r + 85. What is -11*f(k) - 3*z(k)?\nAnswer: 2*k**2 + 124*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 9. Let q(l) = -1. Let c(s) = -3*q(s) + r(s). Let d be c(-12). Suppose -f = -d*f - 23. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 50, 64?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3) + 5)**2*-4.\nAnswer: -128 - 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*w + 0)*(-6*w + 3*w + w)*(338 + 504 + 460).\nAnswer: 7812*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/2895 and 6\/965.\nAnswer: 2895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -16*j - 3. List the prime factors of a(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 24*a - 7. Give s(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2826*h**4 + 5*h**2 + 2*h - 51476?\nAnswer: -11304*h**3 + 10*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31718932 and 8372?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (0 + -5 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -98*s**3 - 56*s**2 - 56*s - 56. Let n(p) = 9*p**3 + 5*p**2 + 5*p + 5. Calculate 56*n(h) + 5*r(h).\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 173331 divided by -108?\nAnswer: -19259\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 20) + (258 - 367) + 17 + -2?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 246 - 30 - 215 + 38*d.\nAnswer: 38*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -25600000 rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 195*x.\nAnswer: 195*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 243 = 5*i + 35, 0 = 2*q + 4*i - 142. List the prime factors of q.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 + 10*q + 10*q**3 - 9*q**3 + 11*q - 10*q**2. Is 7 a factor of t(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {x: 1, e: 4, i: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -29730706.\nAnswer: 2973070.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*y, 3*y + 174 = -4*d - 0*y. Let c be 43\/15 - 3 - 996\/d. Solve -6 = -4*h - c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 7*x + 24 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4634000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0.3 (c) 10 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 18 - (-4 - -13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**18)**(-30) assuming n is positive.\nAnswer: n**(-570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4156 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (238 - 237)\/(2\/(-298))*(-144 - -1). What is the greatest common factor of c and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from {d: 2, o: 1, b: 1, h: 3, m: 3, w: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -173523 + 10\nAnswer: -173513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1625688mg to tonnes.\nAnswer: 0.0000000001625688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325, -628, -931, -1234, -1537, -1840?\nAnswer: -2143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -271, -422, -593, -790?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -2*n + 1\/30*n**5 + 1\/9*n**4 + 4 + 1\/9*n**3 + 0*n**2. Factor t(l).\nAnswer: 2*l*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2330 (base 5) in base 11?\nAnswer: -28a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 2*h - 11, -3*h + 8*h + 19 = -3*t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1 + (0 + 1 + 0)*(0 + 0 - 2) - 1 + 3 + 0 - 1 - 2 + 2 + 2 - 5 + 2)*(-219*o + 29*o**3 + 219*o).\nAnswer: -87*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*j = 21, 5*j = 4*n + 6*j - 11. Let t be 0\/(n - 6\/1). Suppose k + 3 = 2*i, t = -i - 0*k - k - 3. Solve 0 = -i*u - 3*u + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21793 or 5565?\nAnswer: 5565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*o - 22 - 113. Solve o*d - 4*y + 15 = 2*d, -5*d - 8 = -y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300 (base 8) in base 7?\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 137647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1\/5*(-2 - -2) - -1554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*s + 661 - 563. Let a(m) = m**2 + 2*m. Let t be a(-2). Solve t = -s*l - l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(198)*-3)\/sqrt(9))\/((sqrt(128) - (-2*sqrt(128) - sqrt(128)))\/sqrt(4)).\nAnswer: -3*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2178 = -4*o + 22*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 978 divide 1697741647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 2. Let t(g) = 27*g + 33. Let m(a) = -9*q(a) - 3*t(a). Does 18 divide m(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2616, -5275, -7934, -10593?\nAnswer: -13252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011000001000100000 + 1?\nAnswer: 1010011000001000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212975277 is divided by 315?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -199.9 - -200.3. Sort 45, -2, s in ascending order.\nAnswer: -2, s, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -27*z + 30*z - 991, 0 = -3*b - 4*z + 610. Is 586\/3 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10\/3 + 98\/33. Suppose a - 4*t + 22 = -7, 0 = -a - 2*t - 5. Calculate the common denominator of a and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 3. Let f be (-2)\/(-7) - 0\/w. Which is the nearest to f? (a) 0 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32, 59, 78, 83, 68?\n\"Answer: -x**3 + 2*x**2 + 28*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbtbikytbybtbbytttty. What is prob of sequence ityb?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 7*b**2 - 10*b - 5. Let u be n(-8). Let s = -6 + u. Let l(d) = d**2 - d - 7. Determine l(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-27)*s**9)\/((s*s**(2\/11))\/s)**(-11\/7) assuming s is positive.\nAnswer: s**(261\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/74061 and -131\/6330.\nAnswer: 740610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 127075*p. Let v(m) = -6*m. Give v(o(n)).\nAnswer: -762450*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/3, -258, -9\/56?\nAnswer: -9\/56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23 from -7704620887.\nAnswer: -7704620910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 6*l + 666. List the prime factors of 1 - l - (-4 - -2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079811861?\nAnswer: 2079811861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6*w - 10 = -5*r, w - 5*r = -10. Let a(c) be the first derivative of -10\/3*c**3 - 6 + w*c**2 + 4*c. What is the derivative of a(o) wrt o?\nAnswer: -20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(4\/8 - 2). Let b be (-2)\/u + 33\/9. Suppose 15 = 2*q + 3*q + b*w, 2*w + 10 = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 11*d**2 - 10*d + 15. Let z be (2 + -14)*(-3 - -4). Let b be u(z). Let g(t) = t**2 + 4*t - 5. List the prime factors of g(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-3)*(-638)\/(-116)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (224\/200 + -4)\/((-2)\/(-5)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/3 + 20*n**3\/3 + 178*n**2\/3 + 292*n\/3 + 45.\nAnswer: -(n - 27)*(n + 1)**2*(n + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -921683420 rounded to the nearest one hundred thousand?\nAnswer: -921700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 1687 + 143. Is 68 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.9575 times 4?\nAnswer: 159.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -35. What is the remainder when 135 is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Let k(y) = -y - 4. Let s be k(-6). Solve -h - 10 = 2*p, d = s*h - 7*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5128*v + 2581*v + 2550*v. Let y(u) = -3712*u**2. Determine y(n(a)).\nAnswer: -33408*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 - -1?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 207050*o + 33*o**2 + 207050*o.\nAnswer: 33*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2860730631.\nAnswer: 3, 11, 359, 80491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.055711g?\nAnswer: 1055711000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -81*c**4\/4 - 8*c + 160. Let a(s) = 5*s. Calculate w(a(i)).\nAnswer: -6075*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -7, 17, 3, -1 in decreasing order.\nAnswer: 17, 3, 0.4, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**13\/x**6)**(6\/7) assuming x is positive.\nAnswer: x**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.1079 kilometers to centimeters.\nAnswer: 2210790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*i + 9410 = 10736. What is the remainder when 30*((-3)\/(-5) - -1) is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/13? (a) -5 (b) -1\/4 (c) -0.04 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*r = 41*r - 35063 - 6097. Is 42 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -63, -2, -5 in descending order.\nAnswer: -2, -5, -63, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 954 - 961. Let d(v) = v**3 + 8*v**2 + 3*v - 7. Calculate d(n).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.9, 3, 1.094?\nAnswer: 1.094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 10*f**3\/3 + 57722*f**2 + 14284304*f\/5 + 530994784\/15 = 0?\nAnswer: -17267, -124\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -28.974. Let n = 4.974 - j. Let m = 0 + n. Put 4, m, 0.1, 0.5 in ascending order.\nAnswer: 0.1, 0.5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 180\/(-16)*(-40)\/3. Suppose 0*x - p = -5*x. Is ((-14)\/(-5) + -2)*x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 11:48 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/532?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 - (-44 + -8 + 7).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**2 + 3*i**4 - 3*i**2 - 2*i**4 + 2*i**4 + i - i + (4*i + i - 3*i)*(2*i - i**3 - 2*i) - 2*i**4 + 2*i**4 - 2*i**4.\nAnswer: -i**4 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2057) + (sqrt(2057) - (-1 + sqrt(2057)))) - sqrt(2057))**2 + ((sqrt(2057) + 1)*5 - sqrt(2057)).\nAnswer: 484*sqrt(17) + 51446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49104271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 36. Suppose m*u = 12*u + 25. Let q be -2*(18\/4)\/(-3). Sort -3, q, u in descending order.\nAnswer: q, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 22.2?\nAnswer: 22.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 289892542?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -10. Suppose u = 3*p + 15, 2*u - 9 - 18 = g*p. What is the third derivative of 231*f**2 - 15*f**u + f**5 - f**5 - 244*f**2 wrt f?\nAnswer: -1800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**6\/120 - c**5\/20 + 7*c**4\/24 + 2*c**3 - 4189*c**2. Calculate r(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 355725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 736713.2 weeks in minutes?\nAnswer: 7426069056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -683 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2860 rounded to the nearest one hundred?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -4 - 0) + (-819)\/(-234)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -30841*g + 1819617. Determine u(59).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (-2)\/(7 + 316\/(-44)) + -22?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 147*u**2 - 315*u - 459.\nAnswer: 3*(u - 3)*(u + 1)*(u + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 2*j + 3. Let a be q(2). Let l = 5\/7 + -3\/14. What is the closest to 1 in a, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 52. Let a be k(-54). Factor 30*w + 42*w + 2*w**a - 56 - w**2 - 17*w.\nAnswer: (w - 1)*(w + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/2 - 6\/(-12). Let x(s) = -s**3 + 5*s**2 + 7*s - 6. Let f be x(l). Suppose -c = -f*c - 12. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 2*d + 1. Let l be f(2). Let c(u) = u**2 - 2*u + 1. Determine c(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (70\/(-21) + 13\/39)\/(-1). Solve z*v - 3*a + 4 = 22, -5*v + 24 = a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 26*i**2 - 557*i + 224. Determine m(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 26*k + 340. Let c(u) = 20*u**2 + 38. Let l(a) = -7*a**2 - 13. Give k*l(h) + 6*c(h).\nAnswer: h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**3\/4 - 278668239*s**2\/4 + 69667059*s = 0.\nAnswer: 0, 1, 92889412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*r - 3*r + 27 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1247\/21 - -404\/7. Let a(h) = -h. Let s(g) = 4*g**3 + 2*g**2 - 1. Let f be s(-1). Let z be a(f). What is the nearest to z in 0.5, q, 2\/15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7077 is divided by 120.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g - 3*g + 2*g + g + 0*g - 2*g + (-2*g - 2*g + 3*g)*(3 - 5 + 4) - 2*g + 2*g - g + 4*g - 2*g - g + 21*g - 9 + 9 + 0*g + 2*g + 0*g.\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 7*o + 2 = 0. Let f = -13 - -20. Solve 1 = h + 2*x, -h = -f*x + o*x - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 231?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**2 - 3*w + 1. Let h be d(1). Suppose 0 = h*n + 217 - 223. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 640 and 121280?\nAnswer: 242560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -6.1. Let f = r + -3.9. Which is the third biggest value? (a) 6 (b) 2\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 3*a - 13, 4*a = 49*k - 51*k - 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -112232043?\nAnswer: -112232040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 1293*g - 1296.\nAnswer: 3*(g - 432)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**3\/9 + 424*h**2\/9 - 278*h\/3 - 140 = 0.\nAnswer: -1, 3, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 1. Let d(n) = 2*n**2 - 10*n - 9. Let y(p) = d(p) - 5*s(p). Determine y(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 12*u - 17. Calculate w(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*p**3 - 21516*p**2 + 21525*p - 5382 = 0. What is p?\nAnswer: -1794, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l - 24. Let p be x(3). Suppose b - 115 = p*b. Let c be 5*(b\/(-5) - 4). Solve -2*j + c = -1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*p, -2*t + 5*t - 4 = -p. Let q = -7\/3 - -3. Solve q*b + 0 - t*b**3 + 4\/3*b**2 = 0 for b.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 5 (c) -2225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i + 2. Let f(h) = 3*h + 7. Let b(c) = 2*c + 3. Let v(j) = 5*b(j) - 2*f(j). Give -3*r(w) + 5*v(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 2*s**2 - 1. Let m(b) = 2*b**3 + b**2 - b - 4. Let g(y) = m(y) + 3*v(y). Let d = 10 - 16. Let h be ((-30)\/9)\/((-4)\/d). Determine g(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 2. Let c = -303 - -311. Determine h(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 1 - (12 + -16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.04143 - -0.16767. Let d = 1.22 - k. What is d rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*s = -28, -2*f - 2*s - 36 = -7*s. Let k(w) = -w - 3. Determine k(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 0*r + 27 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 1100332.\nAnswer: 11\/550166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**4\/48 - l**3\/4 + 9*l**2\/8 - 7*l. Factor z(y).\nAnswer: (y - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 (base 14) to base 4\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - t = 15, -562*t + 1121*t = 557*t + 2 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*i - 116*i**3 - 7*i - 8*i - 12*i + (-27 + 15*i**3 + 27)*(-2 + 4 - 1).\nAnswer: -101*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v + v**3 - 11*v + 2*v**3 - 3 + 2*v**2 - 2*v**3. Calculate q(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*s + 5*q, -2*q + 10 = -0*q. Suppose 0 = -3*w + 2*w - 4. Is ((-120)\/s)\/((-3)\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1693 times 1\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - z + 72. Let o be k(0). Let y = 27 + o. Suppose 0 = 3*l - 8*l + 45. Calculate the greatest common divisor of y and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 748462 and 44.\nAnswer: 1496924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/(-280) + (-6)\/4*(-8)\/(-130)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 + 244. Suppose -5*m - 739 = -5*x - 2*m, x - 2*m = b. Suppose 4*d + l - x = 0, -2*d + 77 = 3*l - 2*l. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npcnpppnppcnn. Give prob of sequence pn.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 10*a**3 - 23*a**2 + 17*a - 73. Is u(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10510 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1611.6 * -111.\nAnswer: 178887.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (298\/2235)\/((-4)\/5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2142301, -2142303, -2142305?\nAnswer: -2142307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 4*l + 4*i + 2, 3*i - 24 = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 4*u - 16, -585*u + 583*u - 20 = 5*r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 735 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343232 is divided by 7830?\nAnswer: 6542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Let p(h) = 8 + 66 + 73 + h**3 - h**t - 44. What are the prime factors of p(0)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y**3 - 7*y**2 - 6*y - 5. Suppose 0 = -4*h + 2*m - 12, 5*h + 4*m + 28 = -0*h. Is g(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.908022s to minutes.\nAnswer: 0.3651337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 11. Let b be (-2)\/j*(-5 + -1). Suppose 0 = 4*z - 5*n - 64, b*n = 3*z - 5 - 40. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g**2 - g**2 - g**2. Let s(h) = h - 1. Let d(r) = -7*r + 1 + 5 + 0 + 0. Let u(l) = -d(l) - 6*s(l). What is u(c(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/34 + 0 + (-39)\/(-102).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2467 + 537. Suppose p = 12*k - 920. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 187020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -777 + 1528. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 295 and 1156046.\nAnswer: 5780230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 2*w + 10 + 2*w. Suppose 4*g + 9 + 19 = 0. Let h be n(g). Sort -1, -3, h in decreasing order.\nAnswer: h, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 - -68.7. Let q = -3 - p. Let z = -4 + q. What is the third smallest value in z, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17805060 divided by 4095.\nAnswer: -4348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -207 - -212. Suppose -d + c*s = 36, 32 = 4*s + 12. What is the smallest value in d, -1, 3\/10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23173247796867.47 - 2.\nAnswer: -23173247796869.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -33*o - 29. Is b(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/4264 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6570 is divided by 1633.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 17, 5, -29, -91, -187, -323?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 21. Let o = x + -27. Is (-432)\/64*o\/3 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + (-387)\/(-405))*5. Let r be (3 - 4) + 7\/10. Sort 1, r, 0.4, b in increasing order.\nAnswer: r, b, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + sqrt(1100) + 1.\nAnswer: 2 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708 is divided by 122?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7907 or 7946?\nAnswer: 7907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/7 + 68*i\/7 + 578\/7 = 0. What is i?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2930957.\nAnswer: 31, 94547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 + -13.9?\nAnswer: -16.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u + 3. Suppose -q = -3 + 2. Let p(m) = -m + 1. Calculate q*x(a) - 3*p(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 397523 * -0.06.\nAnswer: -23851.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 7*w - 810 = 0. Let t be 1 - 4 - -2 - -28. Calculate the greatest common factor of w and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261197285 to the power of 1\/2, to the nearest integer?\nAnswer: 16162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f. Let j(l) = 542*l + 1. Let i(b) = -1356*b - 2. Let h(u) = -5*i(u) - 12*j(u). What is a(h(v))?\nAnswer: 276*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*(5 + (sqrt(2736) - (0 + sqrt(2736) + sqrt(2736) + -1)) + (-2 + sqrt(2736)*-1 + sqrt(2736) + 2)**2) + 5.\nAnswer: -31 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 18 (b) 4\/9 (c) 3 (d) 0.09 (e) 51 (f) 0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 747884 and 236?\nAnswer: 747884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 484\/6 + (-4)\/6. Suppose p = 5*p - o. Let b = -10 + p. Solve 3*j + b = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 3*y**2 + 2*y. Let s be a(3). Suppose 2*k = -3*u - 9, k + 2*u = -k - s. Let v = 7\/3 + -61\/21. Which is smaller: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from uktztpr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3429651502?\nAnswer: 2, 17, 439, 229777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 82 + (-30 - ((22 - 4) + -20))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -36.3, 0, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 + -45. Suppose g + 0*c - 3*c = 14, g + 5*c + 10 = 0. Suppose g*s = 4 + m. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00267497 to six dps.\nAnswer: 0.002675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1384862 - -28\nAnswer: 1384890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -2\/19, 0, 58?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5\/4 + 35*v**4\/4 + 285*v**3\/4 - 35*v**2\/4 - 143*v\/2 = 0 for v.\nAnswer: -22, -13, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2603, -366 in descending order.\nAnswer: 2603, 10, -366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -372155 by 1715.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -10 + 2 - 1 + 2*f. Let d be a(6). What is the nearest to 2 in 5, 0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 15 = g. Suppose -4 = 2*h, -g*y = -3*h - 22822276 - 88177730. Suppose 0*c = -3*c + y. What is c rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 212.8 - 212.799999015. What is f rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1308 is divided by 634?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1275*g + 1 - 2 - 4141*g)*(-3 - 4 + 5)*(0 - 2 + 6)*(2 - 2*g - 2) in the form l*g**2 + n*g + i and give l.\nAnswer: -45856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -2. Suppose -5*i - k*j + 46 + 70 = 0, 3*i - 3*j = 75. Calculate the highest common divisor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-53)\/(-145) - (-18)\/522. What is the closest to 1 in 1.4, d, -1.3?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2. Let z(h) = -2*h**3 + 11*h**2 - 5*h - 4. Let m(f) = -6*d(f) - z(f). Let c be m(5). Calculate the highest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1\/2, -2\/3, 5, 8.29?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212110000 (base 3) in base 7?\nAnswer: 323412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i**3 - i**2 + 5*i + 1. Let w be x(-3). Let b be (24\/28)\/((-2)\/(w\/(-12))). Put -10, -1, b, -5 in ascending order.\nAnswer: -10, -5, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 1:42 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n = -53859 - 26351. Does 75 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1221143, 2442285, 3663427, 4884569?\n\"Answer: 1221142*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*m - 185*m = 0. Suppose -4*x + c + 5224 = m, 1660 - 5578 = -3*x - 5*c. List the prime factors of x.\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63131963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 66\/9) + 4\/6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16864723 is divided by 1686453?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 1, 2*o + 3*o + 29 = -4*k. Let r(s) = -2 - 4*s + 5 + 5*s. Determine r(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-69*4\/(-18))\/((-12)\/(-36)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97108404.\nAnswer: 2, 3, 71, 293, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 5*b**5\/3 + 55*b**4\/24 + 41*b**2 + 85. Let w(u) be the second derivative of z(u). Find the second derivative of w(y) wrt y.\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5737849 is divided by 160?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-18) - 549\/81. Let k(c) = 2*c**2 + 4*c + 8. Calculate the remainder when k(y) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-21)*(2 - 1). Let x = -17 - -17. What is the closest to x in c, 0, -0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*z - 39*z**2 + 21*z**2 + 24*z**2.\nAnswer: 6*z**2 + 40*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -47. What is the nearest to 3 in 0.4, 0.1, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2331 and 139\/13986?\nAnswer: 13986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*j + 5*y, -4*j + 2*y = -0*j + 70. Let p(m) = 8*m**2 + 24*m + 37. What are the prime factors of p(j)?\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (748\/561)\/((-5618)\/318).\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/13)*t*t**(-4\/3))**(-4)\/(t*t**(1\/6)*t*t**4)**(12\/7) assuming t is positive.\nAnswer: t**(-3698\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxxn when four letters picked without replacement from {n: 12, x: 3}?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310 smaller than 2309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 2056*r + 1506417.\nAnswer: -(r - 573)*(r + 2629)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 13 = 4*j - 7, 5*j = 4*i - 56. What is the least common multiple of 81 and i?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -23*j**3 + 2*j**2 - 8*j. Let m(n) = -24*n**3 - 9*n. Let t = -627 - -630. Let d(k) = t*m(k) - 4*z(k). Find the third derivative of d(r) wrt r.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**4 - 221166*w**3 + 2874393*w**2 + 19016706*w + 15921144 = 0. What is w?\nAnswer: -4, -1, 18, 73709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -147 and -119055\/803 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269, 550, 845, 1160, 1501, 1874, 2285, 2740?\nAnswer: 3245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 420 + -416. Suppose 0 = -f*k + 9 + 11. Sort k, 3, -5, -4.\nAnswer: -5, -4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**4\/3 + 71*a**3\/3 + 171*a**2. Let l be n(14). Solve 2*v = 8*v - l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 6 = 0, -5*p = -5*a + 25 + 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 6:07 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -9. Let v be (-2)\/c - 42\/(-10). What is the closest to 0.1 in v, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940048\/9 equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 245*n**3*r + 73*n**3 - n**2*r - 167*n*r - 1122*n wrt n?\nAnswer: 1470*n*r + 438*n - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -7*d**4\/12 - d**2. Let g(q) = -2*q + 4. Let u(n) = 10*n - 22. Let j(y) = 11*g(y) + 2*u(y). Give h(j(t)).\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8*l**2 - 4. Let o(m) = -15*m**2 + 7. Let a(c) = -3*o(c) - 5*z(c). Let h be a(-1). Factor 0*v**4 + 2*v**4 + v**5 + 3*v**3 - 5*v**h - v**2.\nAnswer: v**2*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*i**3 + 30*d*i**2 + i**3 + 19*i**2 wrt d.\nAnswer: -i**3 + 30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2805979087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001252361 to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*q - 1392 = 0, -3*q + 4*q - 1045 = -3*z. Let l = -321 + z. Solve -a = 30 - l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 41.6.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3223 - 253?\nAnswer: -3476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005410144 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g - 65 = 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77954.\nAnswer: 2, 38977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25855 = -8044*i - 98251 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w - w**2)*(21*w - w + 32*w).\nAnswer: -52*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-3)\/6*(23 + -11) - -3. Solve -j - 10 = z - o, -3*z - 8 = 4*j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*c + 11 = 0. Suppose -4*a = -1 - c. Suppose 0 = 2*m + a*m - 60. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**6\/40 - j**4\/2 - j**3\/2 + 11*j. Let i(t) be the second derivative of p(t). Differentiate i(a) wrt a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812770?\nAnswer: 2, 5, 7, 17, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -211.67 - -212.3382. Let k = 0.94 - 0.29. Let b = k - s. Round b to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*6\/24*4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -14*x - 37. Let m be t(-8). Let n = 80 - m. Suppose -a + 32 = 3*a. Solve n*d + a = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.84 - -2. Let v = -2.84 - z. Which is the second biggest value? (a) v (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0099982 rounded to two decimal places?\nAnswer: -4.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 2*f = 756. Calculate the remainder when 119 is divided by f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(1100) - (sqrt(1100) + 0 + sqrt(1100))) + -5) + -3)**2.\nAnswer: 1360*sqrt(11) + 17889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 - 60*c**2 + 2793*c + 19*c**4 - 2788*c - 2*c**3 - 18*c**4 + 3 in the form p*c + d*c**3 + q*c**4 + l + y*c**2 and give y.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -w + 32 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfw when three letters picked without replacement from {c: 1, f: 3, m: 1, z: 2, l: 2, w: 6}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 24 = 6. Suppose -5*t + 8 = -l*t. Is 0 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/5*25\/50. Sort a, -2\/9, -62 in descending order.\nAnswer: -2\/9, a, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 3\/5, -16, 1068?\nAnswer: 1068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 24*c**3 + 15*c**2 + 15*c - 30. What is the lowest common multiple of m(2) and 108?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1240981\/1660656 + -3\/19088. Find the common denominator of z and -5\/33.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122*g**5 + 4*g**3 + 60913*g.\nAnswer: -2440*g**3 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 51, 99, 175, 285, 435, 631, 879?\nAnswer: 1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -664.6 - 2206.\nAnswer: -2870.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 1. Let x be u(-1). Suppose x*p - 12 = 0, 0*z + p = 3*z - 35. Let q = z + -12. Solve 2*w - q = -3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 0.49457792159.\nAnswer: 0.99457792159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -180493\/21 + 8595. Sort x, 2\/17, -4 in decreasing order.\nAnswer: 2\/17, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-16)*10*(-21)\/((-2352)\/(-128)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**5 - 352*p**4 - 14559*p**3 - 101790*p**2 = 0.\nAnswer: -29, -9, 0, 390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*w**4 - 3*w**3 - 3*w**2 - 904*w wrt w?\nAnswer: -1584*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19573 is divided by 1784?\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 446747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*12\/(-108)*-1*3. Sort -3, 3, u in descending order.\nAnswer: 3, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.096392nm?\nAnswer: 0.0000004096392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506253 = 32*g + 507085 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -16. Let s be 6 - 1 - 3 - -84. Suppose -s = -q - 5*g + g, g = -4*q + 359. What is the highest common divisor of n and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((-1)\/((-3)\/(-6))). Suppose 2*u - 20 - 6 = g. Calculate the highest common factor of u and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1149 + -1883. Let w = -729 - h. Solve -y + 3*y = -w*a + 26, -2*y = -a - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -41864992\nAnswer: 125594976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**3\/21 - a**2\/7 + a\/7 + 4. Factor c(r).\nAnswer: (r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444214762 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 842549.\nAnswer: 31, 27179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32*(-58)\/(-696) + (1 + -3 - 1). What is the fourth smallest value in 12, 3, b, 0.5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9*t - 10. Let j(c) = -145 + 154 - 10. Calculate -6*j(s) + o(s).\nAnswer: 9*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*d = 137*d - 4544744. What is d rounded to the nearest one hundred?\nAnswer: 16300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 2*l + 16 = 0, -2*l = -5*o - 142 + 108 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1427*16.3\nAnswer: -23260.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 31346.\nAnswer: 219422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1211 is divided by 94?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -311 + 194. Let l = y - -320. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 540, 1079, 1618, 2157, 2696, 3235?\n\"Answer: 539*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.45 + -0.45. Let s = 0.09 + 3.91. Put a, -4, s in descending order.\nAnswer: a, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 2*t - 54, 1100*t - 1103*t + 81 = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d = -71 - 177. Calculate the lowest common multiple of d and 58.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 97 - 43 + 12 - 27*r - 3*r**2 = 0?\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24493\/2635 + -5\/1054. Let m be 0 - -2 - 131847\/(-207240). Let x = m + 1\/6280. Calculate the common denominator of a and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18384 divided by -253\nAnswer: -18384\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182669 - 182669 - g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 29 (c) 1 (d) -6 (e) -5 (f) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/22*1\/(-3). Let a = 85119\/11 + -41116921\/5313. Let d = -1\/322 - a. What is the closest to b in d, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 400 + -170. What is the greatest common divisor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1645 is divided by 354.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.6 - 20.8. Let q = -30 - z. Let j = q - -2.60055. What is j rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {o: 1, x: 2, z: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 10*l**2 - 3*l + 2*l**2)*(4 - 4 + 2*l)*(2 + 3 - 4) to the form r*l**2 + n*l + s*l**3 + x and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 + 8*n. Let x(w) = 52*w**2 + 8*w + 8. Let o(l) = 198*l**2 + 30*l + 30. Let d(u) = -4*o(u) + 15*x(u). What is t(d(h))?\nAnswer: 288*h**4 - 96*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9050 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 5*v**2 - 3*v. Suppose 5*t = 4*a + t - 8, 3*t = -5*a + 26. Suppose -3 = -d + 2. Suppose 0 = -0*s + a*s + d*r - 4, -s - r = 0. Determine b(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 1577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**3 + 2*h**2 - 2. Let m(v) = -9*v**3 + 5*v**2 - 5. Determine -10*k(r) + 4*m(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -343.545722911 + 12.5457232534. Let y = 331 + x. Round y to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.62 + -1.29. Let x = w - -41.67. Let u = -40.99916 + x. Round u to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 20*c - 693*c**2 + 19*c + 687*c**2.\nAnswer: -6*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 - 7 + z**2 - 10*z**3 - 1 - 5*z**4 + z + 3*z**4 + 15*z**3 as a*z**4 + i*z**3 + o*z + n*z**2 + m and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/4)\/y**(-1)*(y*y*y**(-2\/13))\/((y\/((((y\/y**6)\/y)\/y)\/y))\/y*y) assuming y is positive.\nAnswer: y**(-307\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - -77. Let b be 2\/11 + 158384\/p. Round b to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**3 - 18*g**2 + 356 + 18*g**2 - 356.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 2*n**4 - 3*n**3 + 24. What is the third derivative of c(m) wrt m?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 + 7 + g**2 + 3*g**3 - 1 - 1002*g + 1 - 4*g**4 + 1001*g in the form t*g + s*g**2 + o + n*g**3 + z*g**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 4*k**2 - 9*k - 19. Let t be f(6). Does 9 divide ((-162)\/(-15))\/((6\/(-15))\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**4\/90 - 7*i**3\/45 - i - 5. Suppose p(t) = 0. Calculate t.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*v**2 - 2 - 71*v + 14*v + 54*v + 2.\nAnswer: 515*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 3. Suppose 0 = 8*m + 115 + 325. Let w = m - -77. Solve c = -5*v + w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1539 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40804*g**3 - 166044*g**2 + 142560*g - 34992.\nAnswer: 4*(g - 3)*(101*g - 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 874853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 7\/4, -2\/5, -2\/11, -0.04?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = 7*b - 74. Let u = 164\/297 - 10\/27. What is the biggest value in -2\/9, b, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1329 - -1332. Solve 2*a - t*o = -22, 5*o = a + 2*a + 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**7\/14 + 7*j**6\/10 + 6*j**5\/5 - 4*j**4 + 504*j - 2. Solve y(n) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 46, 16, 10, 286 in decreasing order.\nAnswer: 286, 46, 16, 10, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -10*i + 181. Let a be c(18). Solve 7 = 4*d - a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -1 + 4 - 2. Let q(g) = -g**3 + 2*g**2 + 13*g - 19. Let l be q(4). Let x be l*((-39)\/12 + v). Is -2 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 7*c + 10*c + c - 20*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 10 = -5*p. Suppose -4*z - p - 4 = 0. What is the second biggest value in z, 0.2, 0, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -315, 1, -8, -1 in descending order.\nAnswer: 1, -1, -8, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 99*s + 3371. Let m be q(-34). Solve -2*a - 16 = 5*y, 5*a - m*y + 2 = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -5 (b) 2\/5 (c) 284 (d) -0.11 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 344579904257*l**3 + 344579904258*l**3 - 3*l.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 o when four letters picked without replacement from {k: 4, r: 1, o: 2, p: 12}?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 924.386*-0.5\nAnswer: -462.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5 = 19. Suppose 3*x = 7*x + t. Is (x - 2\/(-1))*-24 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 889*f + 4*b = 886*f + 45, 41 = 4*f - b for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 15*s = -104. Suppose -s*i = -27*i. Suppose 4*z - 43 = -y - 0*z, i = -3*y - 2*z + 119. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5\/3 (b) -0.1 (c) -3 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, -685, -4, -5, -3, 0 in descending order.\nAnswer: 0, -3, -4, -5, -84, -685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-6) + 24\/(-16)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = 128*m - 133*m - 5*f, -3*m - 30*f - 40 = -40*f for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, k: 2, s: 1, y: 1, z: 1, q: 1}. Give prob of picking 1 y and 2 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 2*g**2 + 3. Let c(o) = o**3 + 2*o**2 - 2. Let h be (2 - 1)*2 + (-4)\/2. Suppose y - 2*y - 3 = h. What is y*l(p) - 4*c(p)?\nAnswer: -p**3 - 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1011*o - 1013*o = 122. Let a be 1100 + o + (-2)\/(-2)*5. Calculate the highest common factor of a and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3353440 * 0.095\nAnswer: 318576.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2527*z = 232869 + 93114 for z.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -863*x + 19. What is the units digit of f(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6856656, -6856671, -6856700, -6856749, -6856824, -6856931, -6857076?\nAnswer: -6857265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/4 - 1723*x**3\/4 - 4327*x**2\/2 + 6048*x.\nAnswer: x*(x - 1728)*(x - 2)*(x + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24874 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*x + 3*l, l + 4 = x + 2*l. What is the remainder when 14 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 17. Let w be 46\/(-253) - 123*1\/(-11)*1. Determine z(w).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 19*p + 2. Let b be w(-19). Suppose b*n - 12 = -4. Solve -n*v = -5*f + 5 + 2, 2*v = 3*f - 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 - 63*b - 121. Let i be s(-30). Let u be (-6)\/15 + (-26)\/(-40). Is u > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 6:40 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(12) + 6*(sqrt(192) - sqrt(12))).\nAnswer: sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 30. Let s(p) = -2*p**3 - 8*p**2 - 8. Let r(o) = o**3 + 3*o**2 + 3. Give f*r(n) + 3*s(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 6\/18*-15*(3 - 4). Solve -l*u + 1 = -25*a + 23*a, 2*a + u = 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen quarters of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7196911, -14393822, -21590733, -28787644, -35984555?\nAnswer: -43181466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 1:49 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 644825\/33 + -214938\/11. Let k = 603187\/76 - 7937. Find the common denominator of j and k.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1761728?\nAnswer: 2, 27527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.9327 - 15763.6.\nAnswer: -15754.6673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, 5, -0.0186, 4 in ascending order.\nAnswer: -6\/7, -0.0186, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + 137 + -70 - (-25 + -2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1099802193 plus 1?\nAnswer: -1099802192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 6*l. Let b be c(-5). Suppose -b*q = 2*s - 90 + 12, q - 20 = 4*s. What is the smallest common multiple of 18 and q?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -317*m**2 - 17 + 20*m + 17 + 59*m**2 + 136*m**2 to the form l*m**2 + g*m + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 165 - 1979\/12. Let p(i) be the first derivative of -1\/3*i**3 + 1\/15*i**5 + 5\/6*i**2 - 2\/3*i - 6 - f*i**4. Suppose p(q) = 0. What is q?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**3 + 21*g**2 - 98*g - 717. Determine q(-12).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**10*c)**26)**(2\/5) assuming c is positive.\nAnswer: c**(624\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 278*w + 8. Let l be m(4). Suppose 2*p = -0*p - 2, 3*r + 4*p = -l. Is 5 a factor of 12\/54 - r\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -7. Let d = 5 + q. Let o = d + -2. Solve -5*c = -o*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10272 + 3*w - 10272 + 4*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 8 = -98. Let m = 68 - v. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**3 - l**2 + l + 1. Let j be c(-1). Let g = j + 11. Suppose -7*x + 15 = -76. Calculate the remainder when x is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1821746 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/((b*b**1\/b)\/b)))**31*(b**(1\/2))**14)\/((b**(-1\/4)*b)\/(b**(1\/2)\/b*b)*(b*((b**0*b)\/b)\/b)**(-3\/34)) assuming b is positive.\nAnswer: b**(-97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*w - 9*w - 1 + 104*w)*(2*w + 0 + 0).\nAnswer: 88*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*v + 34*v = 0. Suppose v + 9 = 3*g. Suppose -g*y - 8 = -20. Solve 6 = w + 2*w, -6 = y*h - 3*w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 12:02 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 10:25 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - 0.5. Let m = 0.2 + -0.6. Let g = m - r. Round g to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001843022 rounded to 6 dps?\nAnswer: -0.000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -646 + 1486. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 9:32 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2*c = -5*s + 7, -4*s + 8 = 2*c. Let y be s + 18\/30*5. Solve x = -x + 6, -b + y = x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 127*i**2 - 127*i**2 - 92*i**3 + (-i + 0*i - i)*(0*i**2 - i**2 + 2*i**2).\nAnswer: -94*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 6100*q**2 - 12185*q - 6090.\nAnswer: -5*(q + 1)**2*(q + 1218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -408732 divided by -4.\nAnswer: 102183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 291077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = -f, -29*f = -32*f - 5*h + 22. Solve 3*q + 2*q = -3*b + 5, -1 = f*b - q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - 53. What is t(6)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-51)\/((-2)\/(-4) + -2) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 2:30 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.48323118 rounded to 2 decimal places?\nAnswer: 24.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1540168872.\nAnswer: 2, 3, 11, 23, 253651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/17)*r\/(r*r\/(r*r\/r**(-5)*r)*r*r))\/(r*r**4*r**(1\/7))*(r**(-1\/3)\/r**(-2\/7))\/(r**0*r)**(2\/43) assuming r is positive.\nAnswer: r**(-5444\/15351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyamrhay. Give prob of sequence aha.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -376 + 382. Let s(r) = -2*r**3 + 5*r**2 - 4*r. Let i(n) = 3*n**3 - 6*n**2 + 5*n. Give d*s(j) + 5*i(j).\nAnswer: 3*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 12*v**2 - 2858*v + 6168. Determine w(236).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v = 16*v - 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9676 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 9*n**2 + 4*n + 5. List the prime factors of q(8).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88 + 96 + 2*s**2 + 4*s + 6*s.\nAnswer: 2*(s + 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, -10148, -381 in increasing order.\nAnswer: -10148, -381, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(6\/5)*y*y*(y**18\/y)\/y assuming y is positive.\nAnswer: y**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 73.8795 meters?\nAnswer: 73879500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.259 + 40104.2404\nAnswer: 40103.9814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(240) - sqrt(240)*-3 - sqrt(240))\/sqrt(4))\/sqrt(12) + -2)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12117\/32312)\/((-9)\/(-20)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = h - 4*h + 16, -3*h - 5*z = -2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*h = -68, 0 = -b - 2*b + 2*h + 248. Calculate the least common multiple of (3\/(12\/b))\/2 and (-4 + 3)*-1*2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - l - 44. What is the remainder when 4\/22 - 328\/l is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/21)\/(10\/35).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 136*m**2 - 137*m.\nAnswer: m*(m - 1)*(m + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -42. Suppose 0*v - g = -v. Solve -4*s = -2*n + 2 - 14, 4*s - v = 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*v + 0*v - v)*(3 - 5 + 1) + v + v - 3*v + 0*v + 0*v - v)*(13*v**3 + 5*v**3 + 42*v**3) as t + s*v**2 + n*v**3 + b*v**4 + h*v and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111111111111011 - 110100101010?\nAnswer: 111111001011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 1290 = 5*m. Let z = m + -87. Suppose -2*r - z = -132. Solve r = -2*j + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a meter in centimeters?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*16\/((-448)\/(-42))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 5, -4, -1, 94?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -542. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3 = 0, 0*r + 9 = -3*i + 3*r. Let o = i + 4. Suppose -3*y + 10*y = -7. Sort 10, o, y in descending order.\nAnswer: 10, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + h + 1 = 7, 5*a = -5*h + 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-9\/2)\/m*m*m**(3\/32))\/(m**0*m\/(m\/((m\/m**(-1\/5))\/m))) assuming m is positive.\nAnswer: m**(-737\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18 + 4 - -5) + 11. Suppose -z - t*g + 1 = -g, 4*g + 28 = 4*z. Let m = -7 + 12. Which is smaller: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68552022, -137104047, -205656072, -274208097, -342760122?\nAnswer: -411312147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4 - 3*n + 1 - 2*n**2 + 0*n**2. What is v(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l + v = -95, -3*l + 4*v - 138 = l - 58 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/12)\/((-3)\/(-9)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -12\/7 (b) -0.014 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3638, 24\/7, 3, 7\/2?\nAnswer: -3638","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 3*c + r, 4*c = 3*r. Suppose -2*o - 9 = h, 2*o - 7*o - 24 = 2*h. Is c - -3*(-92)\/o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -63\/1517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4523, -1\/3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13203 is divided by 1027.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3270638596?\nAnswer: 2, 179, 4567931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 2*k + 51. Let v = 57 + k. Suppose -2 = -11*f + v*f. Solve -y = f*y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 168, 172, 180, 192, 208, 228?\n\"Answer: 2*s**2 - 2*s + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 305 - 2125\/7. Find the common denominator of m and 54\/10*(-130)\/(-286).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -71619161 + 6?\nAnswer: -71619156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 7:26 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331314 (base 8) in base 4?\nAnswer: -1123023030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 129 + -2?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 864.3794 litres to millilitres.\nAnswer: 864379.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, a: 1, s: 4, n: 1, q: 1}. Give prob of sequence ac.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(-2*f - 5 + 5)*(-5 - 5 + 3).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 + 526*y**3 + 35 + 2*y + 554*y**3 - 1082*y**3 to d*y + l + s*y**2 + i*y**3 and give l.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -2*x - 5*w, 3*w + 84 = 2*x - 37. Calculate the remainder when 1056 is divided by x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 6*w - 7*w + 21 = 0, 0 = 2*x + w + 11. Let g(h) = 10*h**2 + 7*h - 31. What is the units digit of g(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkiki. What is prob of sequence ikk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*p = 56*p + 1730 - 220. Suppose -30 = -8*l + 3*l. What is the nearest to l in -2, -1\/8, p?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39.2 - -37.86. Let o = -1.66 + l. Which is the closest to o? (a) 7 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, -39, -2\/3371, 27?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q + 1. Let v = -14 + 27. Let y(i) = -v + 11 + 1. Suppose -5*p - 9 = 2*n, -n = 4*n + 4*p - 3. Calculate n*y(k) + l(k).\nAnswer: -3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25.752 and -4.\nAnswer: 103.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2200 (base 3) to base 7\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 114*t**3 + 3*t**2 - 5. Let q be -1*20\/(-4) - 6\/2. What are the prime factors of v(q)?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/10*4*(-1)\/6.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (992\/1792*-8)\/(4\/(-28)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562850907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 2:36 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + -3 + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -399270 and -109.8.\nAnswer: 43839846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.15 to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 995853 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12907647, -12907659, -12907671, -12907683, -12907695, -12907707?\n\"Answer: -12*h - 12907635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -18788.71711 to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.9 - -7.9. Let f = 0.4 + -0.6. Which is the nearest to -1? (a) -3 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 113*m**2 - 41*m + 2*m**3 + 128*m - 43*m + 12 - 46*m to the form w + d*m**2 + r*m + u*m**3 and give d.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjlllljljw. Give prob of sequence jlll.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9c0a (base 13) to base 16\nAnswer: 5533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9220469 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -1\/3 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33676?\nAnswer: 2, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -20, -0.1, -6, -0.06?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 18*y**2 - 8*y - 540. What is s(9)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 10*z - 12. Let f be a(8). Suppose 3*t - 9 + 2 = -2*i, 2*i - 2*t - 2 = 0. Suppose -i*v = -s - 2*s, 4 = -s + 2*v. Solve -f*b = -s*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**13*i\/((((i*i*((i**(2\/37)\/i)\/i)\/i)\/i)\/i)\/i)*i\/(i*i\/i**8)*i**19 assuming i is positive.\nAnswer: i**(1626\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (527 - 3)\/(60\/840). What is the greatest common divisor of f and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/5, -1, -0.4, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -0.4. Let j = 20.95 - -20.05. Is r < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**2\/2 + 1. Let d = 6 - 0. Let o(j) = 2 - d*j**2 + 0 - 2. What is t(o(s))?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10\/3 (b) -2 (c) -0.3 (d) 8 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 649*d**5 - 483*d.\nAnswer: 12980*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-901 + 370*b + 450 + 451)*(-4*b**3 - b**3 + 3*b**3).\nAnswer: -740*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79600371?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(5\/4))\/f**(-1\/2))\/(f\/f**(2\/11)*f*f**(2\/15)\/f))**(-1\/61) assuming f is positive.\nAnswer: f**(-1187\/40260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -77 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (225\/90)\/(-7*12\/(-168))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -39*t**2 + 57*t**2 - 492*t + 53*t**2 - 75*t**2 + 1512.\nAnswer: -4*(t - 3)*(t + 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*v**2 + 9*v**2 - 9*v**2)*(-1 + 2 - 7)*(-11 - 7 + 12) in the form g*v**2 + s + y*v and give g.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/(7*3\/(-42))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 6:31 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 213 + -143. Let h = a - 70.0029. What is h rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s - 4*s - s)*(-4 + 3 + 4)*(84 - 13 + 2)*(7 - 7 + 4*s) in the form z + i*s + d*s**2 and give d.\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -17. Is (-1521)\/(-12) + 52\/q + -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110100 - 111011?\nAnswer: 1000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 5*f**4\/24 + 17*f**3\/2 - 362*f**2 + 8*f. Determine y(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2388546?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -4*i + 32, -3*f - 10 - 5 = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/4 - 93075*c\/4 + 23268.\nAnswer: 3*(c - 31024)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-8)*g*g\/(g\/g**(-2\/5))*g*g**(-9)\/g*g*g*g*g**(1\/10)\/g)**11)**(15\/2) assuming g is positive.\nAnswer: g**(-4389\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417909986 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 7:46 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 - (36 - (50 - 44)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/17303388 and -27\/1441949.\nAnswer: 17303388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*3\/(-11) - 1*18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27165109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -166 (b) -23\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 801741157 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*t + 14 = 0, 3*t + 12 + 12 = 6*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -81, -128, -191, -276?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-16)\/(-3) + (-96)\/(-144)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 9. Let r be u(5). Suppose -112 = -r*g + 120. Suppose 4*x = -5*o + 116, -2*x + 19 = 11. Calculate the remainder when g is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3164 divided by 43863.\nAnswer: 3164\/43863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**4 - 88*f**3 + 404*f**2 - 312*f = 0.\nAnswer: -26, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 4*a - 2*i, 5*i + 15 = 0. Solve -a*x + 4*x = 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 106 - -41304?\nAnswer: 41412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-7 - (-332)\/44) + 2802110\/55?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1540, -916, -8 in increasing order.\nAnswer: -1540, -916, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djqq when four letters picked without replacement from jejqdej?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 + -154243.68\nAnswer: -154243.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12859*o**2 + 12860*o**2 - 25720*o**2 + 20*o**3.\nAnswer: 20*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9*o**2 + 11*o**2 - 131 + 161. Let a(y) = -y. What is a(i(d))?\nAnswer: -2*d**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11702 - -2436?\nAnswer: -7244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1853 + -1886. Put s, -0.3, 6 in ascending order.\nAnswer: s, -0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/18*-30 + 11 - 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 774436.6 litres in millilitres?\nAnswer: 774436600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 36. Let m = b - -17. Suppose -3*a + m*a = 0. Put a, 1, -8 in increasing order.\nAnswer: -8, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -51333*h - 1231977. Give r(-24).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/7 - 92*i**2 + 278*i - 1300\/7 = 0.\nAnswer: -325, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 6 - 1)*(-1 + 1 - 2)*(-2*o + o + 0*o) as p*o + f and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -810 + 814. Solve -z + 5*z + 8 = -u, 0 = c*z + 5*u - 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q - 20 = 0. Suppose 9 = 3*y - 2*y. Calculate the remainder when y is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 769647.\nAnswer: 10005411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 252, 335, 376, 369, 308?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12*36\/30*2*-15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -59. Suppose -2*f + 8 = f - 4*u, 2*f = -2*u + g. Solve 2*j = -2*j - f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36.6 + -328.6. Let k = b + 292.128. Round k to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 253 in 0.01, 1, 0, -1, -25\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w. Let i(o) = 386 - 396 - 50*o + 171*o. Give i(z(r)).\nAnswer: -121*r - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**5\/13 - 38968*a**4\/13 - 1322600*a**3\/13 = 0. Calculate a.\nAnswer: -19450, -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, u: 1, s: 9, i: 1}. Give prob of picking 1 u and 1 s.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*b = 188*b + 1240. What is the remainder when b is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 v when three letters picked without replacement from {c: 4, t: 2, o: 2, q: 5, v: 4}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7 (b) -641 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*h = -697*h - 1899 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5 - 10176*i**4 + 223154*i**3 - 1266708*i**2 + 1053728*i = 0. Calculate i.\nAnswer: 0, 1, 8, 13, 5066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:45 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43\/3? (a) 5 (b) -0.2 (c) -856 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 30*v + 21. Let h(u) = -u + 23. Let b(z) = 3*z - 45. Let r(f) = b(f) + 2*h(f). Determine 4*k(d) - 84*r(d).\nAnswer: 36*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -k - 17, k + k + 5*a = -38. Let p = -27 - k. Calculate the greatest common divisor of 14 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -3*k**2 + 1\/30*k**5 + 3\/4*k**4 + 0*k + 0 + 0*k**3. What is c in j(c) = 0?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88576410 a multiple of 642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 91\/5? (a) -4\/103 (b) 3 (c) -2\/17 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-8 - 8\/4) - 52\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -77+141741.99858\nAnswer: 141664.99858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1232 + 1230 - 12*v**3 + 8*v**3.\nAnswer: -4*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**5\/3 + 8*b**4\/3 + 6*b**3 - 80*b**2\/3 + 8*b\/3 + 32 = 0.\nAnswer: -3, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19076 - -19081. Which is the fifth smallest value? (a) -0.5 (b) -4 (c) 2\/5 (d) -3 (e) r\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -7. Suppose 2*y + 29 = 4*y + v*j, 0 = 2*j - 10. Let n(b) = -b + y + 2 + 3*b - 2. Determine n(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3*r + 2 = 7*r, -6 = o + 4*r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vamvvavvvmavaavvavv. What is prob of sequence va?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5 - 2 = 0. Let j be 11938\/3360 - i\/15. Let t = j - 1\/336. Calculate the common denominator of t and -73\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (700\/(-21))\/((-2)\/9). Suppose -4*y - n - 14 = 0. Let d = -21 - y. What is the remainder when 59 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11136 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*1*4)\/sqrt(10).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9\/1991 + -655084\/9955. Let n = c - -66. Factor n*o**5 + 0*o + 0*o**3 + 0*o**4 + 0 + 0*o**2.\nAnswer: o**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.51787*3\nAnswer: 28.55361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9133 + -4?\nAnswer: -9137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r + 13*r - 6*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1638 + -94\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 18*g**3 - 101792*g**2 - 396138*g + 45272 = 0.\nAnswer: -4, 1\/9, 5659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 32*m**3 - 256*m**2.\nAnswer: -m**2*(m - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 245588717 a multiple of 1105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + -11 - ((2 - 3) + 6)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30113 (base 4) to base 2.\nAnswer: 1100010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -498800745 divided by 31107?\nAnswer: -16035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3\/7 - 16035*g**2\/7 - 4073928*g - 16877618364\/7 = 0. What is g?\nAnswer: -1933, -1706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -77*g**6\/30 + g**4\/12 - 34*g**2 - 73*g. Find the third derivative of j(o) wrt o.\nAnswer: -1848*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 7*c**2 - 4*c - 4. Let q be t(4). Suppose -v = v - q. Suppose 3*n = l + 19, 2*l + v = 5*n - 18. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/(-180)*-10)\/((8\/3)\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dudd when four letters picked without replacement from ddududddddddddu.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -999230.1000003 + 999230. Let a = -0.1 - x. What is a rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3143.\nAnswer: 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2131 divided by 6?\nAnswer: -2131\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4949833.16 rounded to the nearest one hundred thousand?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmjn. Give prob of sequence mj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u**3*z + 4*u**3 - 12*u**2 - 223820*u*z**2 - u + 400 wrt z.\nAnswer: u**3 - 447640*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/150 and -49\/1481640.\nAnswer: 7408200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times -313589?\nAnswer: 5958191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-3))\/2)\/((-26)\/(-286))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 7*k - 22 = 0. Let o(h) = 2*h - 3. Let d be o(4). Solve 2*z = k*q - 2 + 10, 2*q + d = z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(26) + sqrt(26) + sqrt(26) + sqrt(234)))\/(-2*sqrt(128)) + -5 + (-1*(3*sqrt(143) - sqrt(143)))\/sqrt(11).\nAnswer: -5 - 7*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3*((sqrt(120) + (sqrt(120)*2 - sqrt(120)))\/sqrt(8))\/sqrt(5)*-6 + 4))**2.\nAnswer: 10368*sqrt(3) + 140544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -16. Differentiate g - 5*p + 2 - 7*p + 0 with respect to p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-352))\/((-6)\/22).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/7 - 20458*h**3 - 2563566406*h**2\/7 - 2563423202*h\/7.\nAnswer: -2*h*(h + 1)*(h + 35801)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(1\/(-2)) + -1. Suppose 5*l = -5*n + 15, 0 = -n - 4*l + 3. Suppose -3*z + n*i = -12, 3*z - 14 = -z + 3*i. Put 0, v, z in decreasing order.\nAnswer: z, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*((s\/s**(-3))\/s)\/s*s**1\/s)\/(((s*s\/s**3)\/s)\/((s\/s**(5\/3))\/s)) assuming s is positive.\nAnswer: s**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 42 = -f - 9, 0 = -x - 2*f + 10. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3794 (base 16) to base 12.\nAnswer: -8298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7467 is divided by 1307.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**5 + 24*z**4 + 36*z**3 - 6*z**2 - 39*z - 18 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 9:30 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - 0. Let s = 5601289\/328251 - 285\/3773. Let z = s - -10\/29. Calculate the common denominator of t and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.8596 + -47590\nAnswer: -47586.1404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20918 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 0*n**2 + n**2)*(13 + 11 + 156).\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*m + 6*m + 4*m)*(1 + m**2 - 1) + (0 + 1 - 3*m**2 + 4*m**2 - 2*m)*(13*m + 2*m + 11*m) to f*m**3 + j*m**2 + n*m + v and give f.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103242 - -5?\nAnswer: -103234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4384*i - 1471*i = 1470*i + 1481*i - 1862 for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 13*x**2 + 17*x - 19. Let k be t(14). Suppose k = 8*n - 9. Solve 0 = -3*v - 1 - 2, -5*v - 13 = -n*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 2:52 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48643 is divided by 24276?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 47422 = -21*i - n, -15824 = -i - 3*n. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 5*n, -l + 2*n + 23 - 32 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 2:11 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3969 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 974*a + 1039*a + 884*a + 979*a - 3844*a.\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -15*n - 1. Let h = -1 + 0. What is w(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*r**4*u - 14*r**3*u + r**2*u - 11*r**2 - 2*r*u wrt r.\nAnswer: -240*r*u - 84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(104)*-5 - sqrt(104)*-1*-6)\/((sqrt(968) - (sqrt(968) - (sqrt(968) + (sqrt(968) - sqrt(968)*1))*-2)) + (sqrt(968) - 1*-2*sqrt(968))).\nAnswer: -sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 2*m**2 + 5*m - 64. Let j be h(0). Let q be (-204)\/2 + 3 + 1. Let z = -163 - q. Which is greater: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - (-81 + 8\/2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/406729558 and -63\/47468?\nAnswer: 813459116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/(-49))\/((-6)\/4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 20 = 0, 0 = -9*y + 12*y - b - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 14 - 86. What is the units digit of (-28256)\/(-14) - (-3)\/(84\/v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -27.4 (b) -0.035 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 8*s**2 - 56*s**2 - s + 3*s - 32*s**2 in the form x + t*s + w*s**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 11:06 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*m + 23*m - 14*m)*(-m**2 + 2*m**2 + m**2) in the form d*m**3 + b + g*m**2 + t*m and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(144)\/(5*sqrt(60)\/sqrt(5))*4 + ((sqrt(96) - (-2*sqrt(96) - sqrt(96)))*-5)\/(sqrt(128)\/sqrt(4)))**2.\nAnswer: 368*sqrt(3)\/5 + 25492\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**5\/3 - 362*m**4\/9 + 1384*m**3\/9 - 1528*m**2\/9 + 512*m\/9 = 0.\nAnswer: -64, 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b4 + -3?\nAnswer: 2b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033884059 rounded to three decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 4\/13, 383, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 2*s + 0*s)*(-1 - 1 + 3)*(-4*s**2 + 5*s**3 + 4*s**2).\nAnswer: -10*s**4 + 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and -23014?\nAnswer: 2071.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*h - k, -2*h = h - 5*k - 1. Let i(p) = p**2 - 3*p. Let a be i(3). Suppose h*y = 8, -2*x + 0*x - y + 26 = a. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 6*k - 5. Let a be z(7). Let b = 23 + a. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2348, 1, 1429, 39 in increasing order.\nAnswer: -2348, 1, 39, 1429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -33*w + 3. Is 21 a factor of f(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.02 - 21. Is c equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16762*s**3*z - s**3 + 278*s**2*z + 4127*s - 1400*z + 1 wrt s.\nAnswer: -100572*s*z - 6*s + 556*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -179, -175, -167, -155, -139, -119, -95?\n\"Answer: 2*g**2 - 2*g - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 56\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -564*i - 605. What is the units digit of u(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 9. Let d be ((-10)\/3)\/(1\/r). Let o = -11 - d. Solve 2*u = 6, -2*s + o - 10 = 5*u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*b = 95*b + 202524. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -294*b - 1160. Let f be u(-4). Solve -3 = -f*x - 67 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 0*o**4 - 4 + 0*o**2 + 0*o**3 - 2*o - 4\/5*o**5. Find the first derivative of p(m) wrt m.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 3*z - 14. Let d be t(-6). Suppose 8*v - 68 = d*v. 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: What is -6375711044 rounded to the nearest 100000?\nAnswer: -6375700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 70*d**2 - 485*d - 86. Give p(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15301500 and 19392?\nAnswer: 244824000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 7:42 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-70))\/(726\/7260))\/((-6)\/(-28)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 242264151 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 127*a**2 - 2*a - 82. Is l(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 12:06 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4155331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*q**6 + q**5 + 106*q**4 - 14463152*q**2?\nAnswer: -3240*q**3 + 60*q**2 + 2544*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**3 - 3*h + 3\/2*h**2 + 51. Let n(m) = -m + 1. What is -3*i(r) - 9*n(r)?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18224 by 5.\nAnswer: 18224\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 2*r**4\/7 + 2*r**3\/3 - 11*r**2\/7 - 453. What is u in i(u) = 0?\nAnswer: -11\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8260 + 22311. What is the thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 552 or -36\/815?\nAnswer: -36\/815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8*18\/(-24) - 12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13321\/12 + -1110. Let f(t) be the third derivative of 0 + 0*t - 14*t**2 + a*t**4 + t**3. Give f(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 219*s + 19. Give n(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5 = 2*n, -n + z = -z - 1. Suppose o - 2*o - x + 59 = 0, 0 = 4*x - 16. Let p be 1\/2 - o\/(-10). Solve -n*q = -0*q - p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(162) - sqrt(18))\/((sqrt(108)*-2)\/sqrt(12)) + sqrt(12)\/(-3*sqrt(6)) + (-1 + sqrt(72))**2)*3.\nAnswer: -40*sqrt(2) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -574\/27401 - 925458443\/493218. Let c = n - -1875. Which is bigger: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbsb. Give prob of picking 2 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 14\/3, -4, 2\/3, 204?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + f - 10 = 0, 2*f - f = -2*x - 5. Which is the third biggest value? (a) x (b) 27\/5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24.7+-66\nAnswer: -41.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 5. Suppose -g*b - 2*b = -2*y - 21, -b + y + 6 = 0. Suppose 0*f - 3*f - 60 = -3*x, b*f = -9. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471*m - 471*m - 22358*m**3 - 8721*m**3 + 8776*m**3.\nAnswer: -22303*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuu. Give prob of sequence ux.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 2 (c) -0.1 (d) -5 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143 divided by -38.\nAnswer: -143\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**7\/42 - 7*h**6\/2 - 208*h**5 - 18590*h**4\/3 - 87880*h**3 - 228488*h**2 + 26*h. Factor r(p).\nAnswer: -(p + 1)*(p + 26)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6760*k**3 + k + 2349*k**3 - 30608*k**3 - 3*k.\nAnswer: -35019*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -330\/49 + 5701\/490. Let v = 1460 + -13204\/9. Calculate the common denominator of p and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*f - 37*f + 72*f - 79*f - 211*f.\nAnswer: -344*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b + 106*b = 392886. Does 39 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*b**2 + 2*b**6 + 42*b**3 - 3*b**6 - 99*b**3 - b**6 wrt b?\nAnswer: -240*b**3 - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 1\/3, -1.2, 5, 432770?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4380677 is divided by 154.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5*3\/45*-4*(-606)\/101\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46 - 67) + 9 + -19.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4037*n**2 - 1518*n. Let l(k) = 1346*k**2 + 506*k. Let p(w) = 7*l(w) + 2*u(w). What is the second derivative of p(s) wrt s?\nAnswer: 2696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 552, 2301, 5246, 9387, 14724?\nAnswer: 21257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1124664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 7*a**2 + 23*a + 32. Determine y(-10).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (0 + 1 - 0). Let w = 38.33 - -0.57. Let q = 39 - w. Which is the biggest value? (a) v (b) q (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3192 - -3215. Solve 0 = 41*i + z*i + 448 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -97*y - 135. Let c(x) = 98*x + 136. Let r(i) = 4*c(i) + 5*m(i). Differentiate r(q) wrt q.\nAnswer: -93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 6*z**2 - 60*z - 57. Differentiate d(h) wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c + 3*c - 11792 = -215*c + 15*c for c.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (7 + 1))\/(-2). Suppose -3*n = -8*n - k. Let o = 24.6 + -25. What is the closest to 1 in n, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 16*d + d.\nAnswer: 23*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 63 = z, -2*p - 3*z - 27 = -4*z. Let a = p - -15. Let h be 3 + (-10 - -4) - a. Put -8, h, -4 in decreasing order.\nAnswer: h, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1996 * 4.\nAnswer: 7984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-9)*(-3)\/(-2190)*(-735)\/(-98).\nAnswer: -1\/219","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 381078 divided by 190539\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1175215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5895 - 5895.3. What is the second biggest value in -1\/5, 0.1378, z?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 177.3630933 + -178.33308. Let m = l - -0.97. What is m rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z**2 - 2*z - 1. Let o be s(2). What is the least common multiple of 3*1\/((-9)\/o) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*d + 39*d + 33*d - 120*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 26087\/7, -1\/3, 1, 0 in decreasing order.\nAnswer: 26087\/7, 1, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 297581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**5\/60 - j**4\/6 + j**3\/2 + 5*j**2. Give m(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.234 - 0.134. Let j = 21 + -16. Which is greater: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dee when three letters picked without replacement from {d: 3, e: 2, x: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 2*p**6\/3 - 12*p**5\/5 + 2*p**4 + 8*p**3\/3 - 6*p**2 + 4*p - 3. Let z(l) = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -2\/81, 28 in descending order.\nAnswer: 28, -2\/81, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 57, 39, 9, -33?\n\"Answer: -6*f**2 + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert b0 (base 13) to base 5.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3718 and 18572411.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19\/3, -0.3, 5, -0.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(55\/50 + -1). Put 5, -1, b in decreasing order.\nAnswer: 5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3931613071 - -8\nAnswer: 3931613079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*y = y + 8787, 0 = y + 4. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -113*g**3 - 1694*g**2 + 21*g + 26. Determine n(-15).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23256, -93014, -209278, -372048, -581324?\n\"Answer: -23253*a**2 + a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i + 0 + 15 + 4*i**2 + 3*i**3 + 5*i + 5 in the form f*i**2 + m*i**3 + d*i + y and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48\/101 - 58\/303. What is the smallest value in 0.18, 4\/7, v, -2\/5, 3\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 45*f**2 - 488*f + 171. What is a(29)?\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 2933 (c) 11\/5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -1 - (-1254)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -953.252\nAnswer: 571.9512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -35*((-660)\/(-84) - 8). Solve t*s + 40 = 55 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*z - 116 = 85 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-1\/6))\/m)\/(m*m*m**(2\/9))*m\/(m\/m**(-3\/4)*m)*m*m*m**1\/m)\/((m**(1\/2)*m*m)**(-13\/6)*m*m*m**4*m*m**0\/m) assuming m is positive.\nAnswer: m**(-49\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 5*p + 6. What is the second derivative of -13*f**2 + 6*f + p*f**2 + 2*f**4 wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/(-1)*(10 - 11). Let o(l) = 2 - 2*l + 0*l - 1. Let v be o(-2). Solve v*k - 7 = i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 - 21865 + 21865.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k + 41767 + k**3 + 37*k + 7*k**4 - 41765 to d*k**2 + n*k**4 + c*k**3 + y + t*k and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/95)*a*a**(-29)*a)\/(a**(-2\/17))**(15\/11))**17 assuming a is positive.\nAnswer: a**(-459414\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 67, 136, 205, 274?\n\"Answer: 69*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2339601 is divided by 2339539.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from ihharbj?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3999*6660\nAnswer: 26633340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -6. Let a = -7 - x. Suppose c = -0*c + a. Solve 4*i - c*i + 6 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26375880.6 rounded to the nearest 1000?\nAnswer: -26376000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388 = 5*t - 378, 18 = 2*i - 4*t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 19. Let x = 27 + h. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*l + 16, -43*s + 42*s = 3*l - 2. Solve -6*t - 14 = -s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 12. Let g be r(-9). Suppose g*u - 8 = -u. Suppose 104 = 6*b - u*b. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5452061 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -443*g**2 + 196*g**2 - 843*g**2 - 482*g**2.\nAnswer: -1572*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/((-600)\/(-208))*(-18)\/(-12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 2*v**3\/3 + 2. Let i(u) = -3*u. Calculate t(i(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11123.21 - -11206. Let c = p - 83. Let l = c + 0.210000444. What is l rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 + -55.7. What is the fourth biggest value in s, -5, 1, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccczgccycgzzcurc. Give prob of sequence gcc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 461045 divided by -11245.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.623 and -5147.6?\nAnswer: 5141.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80.55 - 82.55. Let d = -0.61 + 0.31. What is the third smallest value in d, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 5*z + 7, 2*j - 2 = 6*z - 4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -23764468 divided by -1\nAnswer: 23764468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 c when three letters picked without replacement from mcmm?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6401737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l*l**7*l)**(-1\/66) assuming l is positive.\nAnswer: l**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*s - 79*s + 3692 = -19*s for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 617937.6 kilograms?\nAnswer: 617937600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k**3 - 3*k**2 - 56*k + 372. What is y(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 + 11 - 2\/(-2) is divided by (-2 + 3)*-1*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 11\/(-1) + 4. List the prime factors of 33 + (2 - -1) + s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -480, -1, 1, 20, 3.\nAnswer: -480, -1, 1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97 - -125\/2. Calculate the common denominator of -15\/2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen ninths of a week?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 2:19 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 300 - 0.43\nAnswer: 299.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2803129541 + -12667\nAnswer: -2803142208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 29*g + 637. What is o(-27)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 303*m. Let b(g) = 4*g - 15. Let d(t) = -7*t + 25. Let y(z) = -10*b(z) - 6*d(z). Determine y(p(r)).\nAnswer: 606*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48.84042l?\nAnswer: 48840.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -959 * -30239\nAnswer: 28999201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-463)\/58 + -210 + 218 - 0\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 = 5*o + l + 175, 4*o - 4*l + 412 = 0. Let i = o - -595\/6. What is the common denominator of -29\/2 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n = -14*n - 476. Calculate the lowest common multiple of 22 and n.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640*s = 633*s + 68719. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*i - 16, -5*v = 3*i - 3*v - 25. Let c(m) be the second derivative of -m**5\/20 + 7*m**4\/12 + 5*m**2\/2 + 122*m - 2. Determine c(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32352153 (base 6) to base 11\nAnswer: -5a8925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35910 and 343.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18.4 times 0.2\nAnswer: 3.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 5*q + 5. Let o(t) = t**3 - t - 5. Let g be o(0). Let i be v(g). Sort 2, -5, i, -2 in ascending order.\nAnswer: -5, -2, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*k + 31*k - 55*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 22 = -1. Let h be 6\/7*(0 + n). What is the units digit of 40\/h*(-96)\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, i: 1, u: 1, v: 1, o: 1, g: 2}. What is prob of sequence uoig?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 8. Let v be l(4). Suppose 2*w + 246 + 50 = 5*b, v = -b + w + 58. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 12*c + 498. What is j(-13)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -6 - 3. Let y(n) = 3*n**2 + 6*n + 7. Let m be y(p). Let z = 0 + m. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 464198*j**3*x**3 - 723*j**3 + 14652*j**2 - j - 12*x**3 wrt x?\nAnswer: 1392594*j**3*x**2 - 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7378\/124*(-2 - (-162)\/7) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 12. Let h be 9\/(-12) + (-1)\/(-2). Which is smaller: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3092, -3078, -3064, -3050, -3036, -3022?\nAnswer: -3008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = h - 1 + 5, 20 = -24*h + 19*h + 8*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 2108481\/6 - ((-243)\/(-18))\/27 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 417, 496, 617, 792, 1033, 1352, 1761, 2272?\n\"Answer: 2*q**3 + 9*q**2 + 38*q + 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -13*g**2. Let r(b) be the second derivative of 11*b**4\/6 + 300*b. Determine r(j(i)).\nAnswer: 3718*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440 - -19.\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 653348.6kg?\nAnswer: 653348600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99.39 - -1516.79. What is i rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-172)\/(-24) - 7 - 56545\/(-1290)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrcgggrrrrrggxrgdgc. What is prob of sequence xgg?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3 - 2*l + 0*l - 3*l + 4*l. Let c be n(6). Let r(x) = -x. Give r(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((2*sqrt(539) - sqrt(539))*-1)**2 + sqrt(539)*2 + sqrt(539) + 4 + 2*(sqrt(539) - ((sqrt(539)*-1 - sqrt(539))**2 + 2)))*-4.\nAnswer: -420*sqrt(11) + 45276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230654?\nAnswer: 2, 115327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krci when four letters picked without replacement from {c: 2, q: 1, i: 3, k: 2, o: 3, r: 3}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 12*q - 4. What is a(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1057)\/315)\/(30\/25) and 101\/42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233 - 179 = -3*a + 4*i, -a + 4*i = 50 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20290463 rounded to the nearest 100000?\nAnswer: -20300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5365851 to the nearest 100000.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9723\/(-14)*5\/(20\/(-8)). Let v = -31 + x. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5475*15\nAnswer: -82125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**5\/60 + 7*s**4\/24 + s**3\/3 - s**2. What is the units digit of q(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/3 and 19\/56120.\nAnswer: 168360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -119*w**4\/4 - 662*w. Let x(n) = 6*n. Give r(x(p)).\nAnswer: -12852*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 274929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2) - (-35)\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1686.318707 rounded to the nearest integer?\nAnswer: -1686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19\/36 + -1 + 44\/36. Let h = -15 + 19. Sort 12, q, h in decreasing order.\nAnswer: 12, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8955, -15221, -21493, -27771, -34055?\n\"Answer: -3*v**2 - 6257*v - 2695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.02 - -0.98. What is the third smallest value in -21, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**4\/24 + 8*f**3\/3 + f**2. Let d be k(-8). Solve y = 4*v - 1, -y + d = y + 2*v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -8*x + 1160. Suppose -149*p = -x*p - 892. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -12*b + 21. Suppose 6*z - 5*z + b = 0. Put 8, 0, 5, z in descending order.\nAnswer: 8, 5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*((-2 + -2 + 1*sqrt(2057))*-5)**2*-2.\nAnswer: -103650 + 4400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -46*o - 52. Calculate a(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/7590 and -49\/171138.\nAnswer: 19680870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 10151\/170987?\nAnswer: 10151\/170987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 10, -0.092, 3, 5?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 7:49 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/11, -4.9, -3\/8, -1.69, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.332 - -17. Let j = -0.032 - y. Let n be (1 - 0)*(-2)\/6. What is the second smallest value in n, j, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-76)\/(-57)*(-24)\/(-32). Solve -9*w = x + 17 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 297 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 6*f + 5. Let h be v(-6). Let t = -3 + h. Suppose -t*a = 3*a - 140. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**2. Let r(d) = -105*d + 200*d - 97*d. Calculate o(r(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 2977869.\nAnswer: -1488934.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (208\/559)\/((-18016)\/(-3378)).\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 76008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -51. Calculate the smallest common multiple of -18*((-55)\/z - -2) and 99.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*q - 2*h + 978 = 1000, 0 = -2*q - 4*h - 44 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*3\/9*(-16)\/176. What is the nearest to 1\/2 in 1, p, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*d - 5. Solve d*y + 3*b - 8*b = -17, -5*b + 15 = -5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 126963277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.0908438 - 0.0908388. Let k = -3 + j. Round k to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 242*r + 742*r - 197*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -10*m**3 + 153*m**2 - 40*m - 89. Give u(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 5 - 12) + 0 + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a. Suppose 5 = 5*w - 30. Let k(q) = 13*q - 4*q + w*q. What is p(k(z))?\nAnswer: 32*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-2)\/sqrt(4) + sqrt(260)\/(sqrt(20)\/sqrt(2)))\/(5*(1*sqrt(288) - sqrt(2))).\nAnswer: -sqrt(13)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 5*t**2 - 5*t + 4. Let i be d(4). Suppose 34*f - 32 = 42*f. Put f, i, 4 in descending order.\nAnswer: 4, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 11*q - 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -665*k**3 + 663*k**3 - 2*k + 2*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.359 and -395.\nAnswer: 6856.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 5103412213.\nAnswer: 5103412213.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -81, -143, -205?\n\"Answer: -62*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4151619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6189 - 9*z**2 - 5946 - 2*z + 3*z to the form a*z + k + t*z**2 and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*t - 141*t - t**2 - 146*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 46*x - 2584, -2*t + 13*x - 11*x - 190 = -70 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-v + 0 + 0) - 1928*v - 1621*v + 196*v.\nAnswer: -3351*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.03 - -1.63. Let w = o + 31. Let y = -12 + w. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 times 0.04483?\nAnswer: -0.0098626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, w: 2}. What is prob of picking 4 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*h + 254 + 178 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3224*w - 5175*w - 1532*w - 2646*w - 8734*w in the form n*w + g and give n.\nAnswer: -14863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 27*f - 6. Let t be p(4). Let a = -48 + t. Suppose 31 = 5*h - a. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 33033236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/10)\/((-18)\/45).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68014778?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 7763845*n**2 - 419258565*n - 5660039835.\nAnswer: 5*(n - 1552823)*(n + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 8. Solve 5*c - 3*m - 5 = z, 0 = -2*c + 4*m - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 1650 = -15*d. Sort -1, d, 4 in decreasing order.\nAnswer: d, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = z - 4*j, 0 + 3 = z - j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 - (-13 - -13)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.7 + 30.6. Let k = -7.284 + 0.684. Let d = k + r. Round d to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.1 and -723?\nAnswer: 1518.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*r - 16, 6 + 11 = -5*i + 3*r. Sort i, -4, 4 in ascending order.\nAnswer: -4, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 300 and 375.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 1\/6*w**3 + 1\/8*w**4 + 0*w**6 + 56*w**2 + 0*w + 0*w**5 - 1\/105*w**7 + 0. What is the second derivative of t(s) wrt s?\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4325 or 357?\nAnswer: 4325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + 0.3. Let b = t + -1. Let k be (4\/1)\/(15\/(-5)). Sort b, 5, k in increasing order.\nAnswer: k, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b - 10. Suppose 16 - 41 = 5*f. Let p(d) = 6*d + 9. Let x(j) = f*p(j) - 4*r(j). What is x(6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/4*5*(-48)\/(-45). Let g(n) = -5. Let c(r) = r - 4. Calculate b*g(p) - 5*c(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 2*q. Let p = -1904 + 1902. Calculate i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0\/c)\/(c*c\/(c**4*c)))\/(c**5*c**(-6)*c) assuming c is positive.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -75*z**2 + 22*z - 48. Let y(i) = 41*i**2 - 11*i + 24. Let d(k) = 6*l(k) + 11*y(k). Determine d(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*c + 2*c - 19*c)*(0 + 0 + 2)*(1 - 4 + 2) to s + a*c and give a.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48054.\nAnswer: 2, 3, 8009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-92 + 5)*(-1)\/24. Is c smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*a = 147*a - 1140 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/2 + 21*z**2\/2 = 0. Calculate z.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 114802496\nAnswer: 11480249.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 5:15 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1046766.4 - 40228.\nAnswer: -1086994.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38305269 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16043, 16032, 16007, 15962, 15891, 15788, 15647, 15462?\nAnswer: 15227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 11) in base 14?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*v + 19 - 21, 22 = 5*v - r. Suppose -v*n + 247 - 3 = 0. Let k(y) = y**3 - 7*y**2 - 7*y + 5. What is the remainder when n is divided by k(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/5)\/((-54)\/27). Let j = 2\/417 + -1259\/1668. Which is the closest to j? (a) 2\/7 (b) 0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n - 4. Let o be q(-3). Let k be -1*(12 - (2 - -2)). What is the lowest common multiple of 8 and (-156)\/o + (-2)\/k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3546691*d**3*m + 10*d**3 - d**2*m + 3*d**2 - d*m + 230988*d - 3*m + 3 with respect to m.\nAnswer: -3546691*d**3 - d**2 - d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1413 and -252336522704.\nAnswer: -252336522703.8587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*l = -108*l - 14. Let p(f) = f**3 + 2*f - 4*f**2 - 1 + f**2 + 5*f**2. What is p(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5)**(2\/49)*((n\/(n\/n**(-5\/2)))\/n)**(-6\/31) assuming n is positive.\nAnswer: n**(1339\/1519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122201133 (base 4) to base 9.\nAnswer: -175020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**2 + 4. Suppose -42*h - 6 = -40*h. Let g(v) = 1 + 3*v**2 - 3 - 1. Determine h*g(d) - 2*s(d).\nAnswer: -d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -2*n - 8, 8 = 4*n + 35*t - 37*t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -9 + 21 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 = 79*w + 2292 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2350\/1880)\/((-5)\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14540 and 55?\nAnswer: 159940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (36 - ((-2 - 31) + (-157 - -175))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*z + 2*a, 0 = -2*z - 3*z + 2*a + 2. Suppose -8 = -2*m - 4*n, 5 = z*m - n - 3. Suppose -5*b = 3*h - 277, -m*b + 61 = -3*b + 2*h. Does 23 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(6)*1)\/((sqrt(144) - sqrt(9))\/sqrt(3) + sqrt(3)) - (1 + (-1*sqrt(50))**2 + sqrt(2) + sqrt(14)\/(sqrt(14)\/sqrt(2))).\nAnswer: -51 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3668 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 104575 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4031 and 2.\nAnswer: -8062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - r - 6 + 3*r + 6 + (3 + 1 - 3)*(3*r + 2*r - 6*r) - 1054 - 66*r + 1054.\nAnswer: -65*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f + 8. Let q be d(2). Sort -0.3, q, 3\/7, 0.3 in ascending order.\nAnswer: -0.3, 0.3, 3\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 g when three letters picked without replacement from rrmmmrmmgmgrgg?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 48?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-456)\/(-532))\/(1\/(-14)*-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvivznm. Give prob of sequence nm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2. Let d(m) = 3104*m. Give d(b(w)).\nAnswer: -6208*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4*p**2)**(-25\/2) assuming p is positive.\nAnswer: p**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 150. Calculate the remainder when u is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1467 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 151*r. Let b(t) = 34*t - 30. Let h(v) = 34*v - 36. Let l(m) = 6*b(m) - 5*h(m). Determine k(l(a)).\nAnswer: 5134*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3451311*p**3 - 25059381*p**2 - 6301392*p + 252 = 0.\nAnswer: -7, -6\/23, 2\/50019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by -18.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002426 rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/11)*d**6\/d)\/(d*d**(2\/3)*d*d**(11\/2)\/d*d) assuming d is positive.\nAnswer: d**(-221\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26.33142 litres?\nAnswer: 26331.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 363 + -632?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, -44, -69, -60, -5, 108, 291, 556?\n\"Answer: 2*q**3 - q**2 - 58*q + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.27 - 0.27. Let i = g - 3. Let j = -19\/3 + 145\/21. Which is the nearest to 0.2? (a) 0 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14503 is divided by 1413.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 10. What is a(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1945, 3891, 5837, 7783, 9729, 11675?\n\"Answer: 1946*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -391 + 395. Suppose -4*z + 6*z = 4*l + 8, 2*l + 28 = 3*z. Let y = z - b. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*(sqrt(405) + (sqrt(405) + -1*sqrt(405) - sqrt(405)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 8)*(104\/84)\/(-13).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28433772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1186*-0.8\nAnswer: -948.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)*n*n**(2\/5))**(6\/11) assuming n is positive.\nAnswer: n**(36\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = t - 6485, 12942 = 8*t - 6*t - g. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*o**3 + 18*o**3 - 16*o**2 + 50*o + 16*o**2 to j*o**2 + p + s*o**3 + w*o and give w.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + b**2 - b + 4. Calculate g(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 33, 73, 113, 153, 193?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/723321 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 13*u + 5. Let w be o(-10). Suppose 2*l + 0*i = -4*i + 20, -i + 6 = l. Calculate the remainder when w\/4*2*l is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**4\/6 + r**3\/2 + 275*r**2 - 6*r. Suppose h + 5 = -2*y, -6 = 5*y - 2*h + 2. Let s = y + -2. Give t(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, x: 3, o: 6, b: 3, c: 1, y: 5}. What is prob of picking 2 x?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/84*(-8)\/64.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/9 - 756686*y**2\/9 + 28756234*y\/9 - 91063694\/3.\nAnswer: -2*(y - 19)**2*(y + 378381)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 185739.4?\nAnswer: -5572.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10698 and 60.\nAnswer: 106980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i + i + 48*i**3 - i**2 - 28 - 20 - 24 - 9*i as j*i**2 + g*i**3 + w*i + f and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186159, -744342, -1674631, -2977014, -4651479, -6698014?\nAnswer: -9116607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52557732?\nAnswer: 2, 3, 1459937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*o + 74*o - 10 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a**3 + 33*a**2 - 956*a - 170. What is the ten thousands digit of y(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/(-14) - 3\/(-7). Solve 0 = 4*a - i*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.07 (b) 3\/7 (c) -57 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 - 293*g + 3540. Give d(18).\nAnswer: -2706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 8*d - 14*d + 452*d**2 + 11*d.\nAnswer: 452*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 39*o**3 - o**2 - 43*o - 58. Let w(m) = 112*m**3 - 5*m**2 - 128*m - 176. Let r(p) = -23*t(p) + 8*w(p). Give r(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (72\/3)\/(-3) - 0. Let g be 44*(-1)\/(-2)*-1. Let p = s - g. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6153?\nAnswer: 3, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750090?\nAnswer: 2, 3, 5, 11, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ennneeeeeeeeeenene. Give prob of sequence een.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2866812 divided by -55131?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u + 39. Suppose -5*d = 3*p - 157, 5*d - 168 = -5*p - u. Let v = d - 31. Which is smaller: -4\/5 or v?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from {h: 8, l: 3, s: 2, v: 1, r: 1, q: 2}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + 4*i)*(2*i - 7*i + 3*i) + 1 - 2*i**2 - 1 + (0 - 2 + 4)*(6*i**2 - 3*i + 3*i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s + 45*s = -17*s + 182. Solve 2*t + 14 = -s*q, 0 = 9*t - 14*t + 2*q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*n = -81*n - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 57\/5 of a millisecond?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31, -83, -151, -235, -335, -451?\n\"Answer: -8*q**2 - 28*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 1 = 2*d + u, -2*d + 4 = 2*u. Let k = -7 - -9. What is the smallest common multiple of k and 2\/(-7) - (-30)\/d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.71134 * 0.5.\nAnswer: 1.35567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*h**4 + h**3 - 947*h**2 + 4343827*h?\nAnswer: 120*h**2 + 6*h - 1894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -94274\/15 - -6282. Let u = 5658 - 5661. Which is smaller: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4741 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 10 - 90. Let q be y\/36 - 4\/18. Sort 0.3, q, 0.5 in decreasing order.\nAnswer: 0.5, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/37, 0.1, -5, -32, -0.1 in ascending order.\nAnswer: -32, -5, -0.1, 3\/37, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/62 - (-12 + (-4940)\/(-310)). Sort p, -1, -619, 3.\nAnswer: -619, p, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 213 + 11*y + 216 - 656 + 218. Let h(g) = 5*g - 4. Calculate 9*h(d) - 4*k(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2278523 or 2278526?\nAnswer: 2278523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 2, 6 in ascending order.\nAnswer: -53, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 22*a - 44. What is the units digit of r(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1046*n**5 + 4*n - 18?\nAnswer: 20920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 9) to base 16\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t + 5264*t**3 - 5264*t**3 - 38 + 62*t**5 wrt t?\nAnswer: 1240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 58, -4, 1336, -11 in ascending order.\nAnswer: -11, -4, 1, 58, 1336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o - 11*o + 47 - 7*o**2 + 18*o**2.\nAnswer: 11*o**2 - 2*o + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 10:23 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 4*y**2 - y + 2. Give z(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1339 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -770*q**3 - 3369*q**2.\nAnswer: -4620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(114) - (2*sqrt(114) + sqrt(114)))\/sqrt(6).\nAnswer: -2*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - u = 5819 - 1415, 8 = -2*u. Calculate the common denominator of 2906\/d + (-12)\/22 and 63\/2.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-14))**(-2\/53)*w**(13\/5)*w**(-10) assuming w is positive.\nAnswer: w**(-1821\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 y when four letters picked without replacement from {y: 2, q: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1022?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-205)\/(-10) + (-2 - (-3)\/2). Suppose 5*h - 7*h + q = 0. Calculate the smallest common multiple of h and (-100)\/15*(-6)\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80206 - 320823\/4. Factor x*w**2 - 1\/4*w**5 + 0 - 1\/4*w**4 + 1\/4*w**3 + 0*w.\nAnswer: -w**2*(w - 1)*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1020341718.55098244 - -1020341742. Let n = m + 6.55098122. Let z = n + -30. Round z to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-56)\/14*10\/(-8). Sort 16, 2, g in increasing order.\nAnswer: 2, g, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 + 7*m - 4. Let h(c) = c - 9. Let f be h(14). Is w(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7977446 rounded to two decimal places?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0096315142 to 5 decimal places.\nAnswer: -0.00963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -44 + (13 - (5 - 2) - 1) - -116\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 a when three letters picked without replacement from {e: 2, a: 1, c: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2870 and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4.2, -2\/7, 0.13, -2\/9, -4\/3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*3259 + 2*(-12)\/8. Let f = r - 2102. Calculate the common denominator of -117\/20 and f\/(-120) + (-1 - (-18)\/15).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/6*(6 - 1). What is the greatest common factor of 15 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 4*r - 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -161*o - 2251. Let b be f(-14). What is the fourth biggest value in 1, -1\/99, b, 2?\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 677*u**2 + 133*u**2 - 42*u**2 to f + m*u + c*u**2 and give c.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88277788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*s**2*t**4 - 8*s**2*t**3 - 409*s**2*t - 2*s*t**2 wrt t?\nAnswer: -960*s**2*t - 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 226?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2. Suppose x = 2*o + o - 15. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/10)\/(12\/(-30)))\/(-2)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.3 - -3.5. Let p = 21.9 + -27. Let b = p + g. What is b rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27753 (base 10) to base 2\nAnswer: -110110001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -527, -974, -1421, -1868, -2315, -2762?\nAnswer: -3209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 6948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 50952 in descending order.\nAnswer: 50952, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/7 - 343540*r**2\/7 - 687072*r\/7.\nAnswer: -2*r*(r + 2)*(r + 171768)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -103 and 0.494?\nAnswer: 103.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.3 - 11. Let k = f + -2.3. Let h = k - 2. What is the nearest to -1 in 1, 2, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 2. Suppose -22*u + 4*u = 0. Suppose u = -0*q + 9*q - 27. Solve -q*o = -0*o + 4*l - 1, 0 = -k*o - 4*l - 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 16 = 2*v, 2*u = -3*u + 5*v + 30 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + (-13 - 22) + 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbyb when four letters picked without replacement from bbpbbybbb?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2416*h + 955*h + 416 = 3787 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12.7 * -0.1\nAnswer: -1.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 1 - (-24 - -14) - 18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12520220 (base 8) to base 13.\nAnswer: -76a737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/((-39)\/312).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 1 (b) 5 (c) -1\/3 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c. Let q(k) = -2*k - 51*k**2 - 520 - 519 + 1039. Give w(q(f)).\nAnswer: 51*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -14) + -13 + -4 - -4 - (-1 + 1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57614 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + o - 61. What is q(0)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 65. Let y = l - 35. What is the second biggest value in 0.2, 2\/9, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -78\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -731*v + 250. Let s(r) = 2170*r - 750. Let x(m) = -14*q(m) - 4*s(m). Differentiate x(j) with respect to j.\nAnswer: 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*n**3 - 333*n - 9801.\nAnswer: -63*n**2 - 333","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 492\/13 + -38. Let u(m) = m**2 - 5*m + 3. Let y be u(4). Which is the second smallest value? (a) s (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -20*q**2 - 3. Let j(f) = -216*f**2 - 32. Let s(p) = -3*j(p) + 32*y(p). Let z(l) = l - 25. What is s(z(u))?\nAnswer: 8*u**2 - 400*u + 5000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -40 + (-1320)\/22?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - x**2 + x + 3. Let v be q(0). Let b = 196 + -124. Suppose -5*f = 2*s - b, 2*s + v*f = 3*s - 58. Round s to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -317 - -325. Calculate the remainder when 126 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 a when three letters picked without replacement from {w: 3, a: 1, n: 5, j: 2, t: 6}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(99) + sqrt(99)*2*2 + sqrt(99))*5)\/(sqrt(45)\/(sqrt(5)*-2) + sqrt(9) + (-1*sqrt(72) + sqrt(72) + sqrt(72))\/sqrt(8)))**2*-6.\nAnswer: -105600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(2\/63)*f)\/(f\/f**(-12))*f*f**(5\/7)\/f*(f\/(f**16\/f))\/f assuming f is positive.\nAnswer: f**(-1528\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42 - 2951?\nAnswer: -2993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyjjjy. Give prob of sequence yj.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 20*u - 25. What is j(0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23\/30 - 4\/15. Let t = -49\/4 - -51\/4. Determine b so that 1 + a*b**3 - t*b - b**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2. Let n = 1365 - 1369. Sort l, -0.4, 0.3, n in ascending order.\nAnswer: n, l, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4602168 rounded to the nearest 100000?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28 and 60.\nAnswer: 1680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1716*p**2 - 33*p + 1104504.\nAnswer: 3432*p - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -6\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16.9 at least 141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11860, -11870, -11894, -11938, -12008, -12110, -12250?\n\"Answer: -l**3 - l**2 - 11858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - k - 20. Let u(j) = j + 17. Suppose -10*p - 96 = -2*p. Let t be u(p). Suppose g - 1 = 2*w - 4, -t*w + 5*g + 15 = 0. What is c(w)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1740*z - 5*c + 1 = 1743*z, -3*c - 7 = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -0.305.\nAnswer: 0.0305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-2 - 8 + 2)*(-2*n + 3*n + n).\nAnswer: 32*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:24 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 0) + (2 - 1). Let j = 4 + -7. What is the nearest to 1 in -2\/5, j, y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 smaller than 1.428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.674672 kilometers in meters?\nAnswer: 4674.672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 82.63?\nAnswer: -80.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -p + 4*a + 19, 13 = 5*p - a. Let b be (-1 + p + -1)\/(26 + -27). What is the common denominator of 1\/32 and (((-5915)\/(-10))\/(-13))\/(b + -4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -742*a**2 + 1847*a**2 - 1091*a**2 + 1555*a**2 + 1382*a**2.\nAnswer: 2951*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014113 rounded to 7 dps?\nAnswer: -0.0000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (23 - 2 - 2) + (17 - 13)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198716 is divided by 24837.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316*c**2 - 2*c**3 - 80357 - 80366 + 160723.\nAnswer: -2*c**3 + 316*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/43? (a) 345\/443 (b) -1 (c) -0.5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - x - 175 = 0, -2*w + 2*x + 152 = 60. Suppose -6 = 2*y, 3*y - 29 = -2*m + 20. Let a = m + w. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.138811 rounded to two decimal places?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 2*b - 1 + 3*b)*(-14*b + 0*b - 4*b).\nAnswer: -36*b**2 + 18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13227\/4 + -3285. Let r = -22 + x. Let y = -878\/7 + 125. Which is the nearest to -2? (a) y (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 12 - k**3 - 9 + 0 + 15 - 2.\nAnswer: -k**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 248 - 232. Solve -m = -5*l + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1995*q**2. Let x(f) = -4*f**2 + 3*f**2 - 2116993*f + 2116993*f. Calculate x(v(a)).\nAnswer: -3980025*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*p + 95 = -3*p, -5*i = 5*p - 115. Suppose i = -3*k + 2*h - 7*h, -h = -3*k - 3. Let q be (k\/4)\/((-3)\/6). Solve x + q + 2 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1985.108 to the nearest ten.\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.04, 1\/3 in ascending order.\nAnswer: 0.04, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**4 + 40*f**3 + 170*f**2 - 40*f - 165 = 0.\nAnswer: -3, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2410.8 to the nearest 10.\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1380455?\nAnswer: 5, 276091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 11. Let n be o(-9). Let y be 36\/((-10)\/8 - n). Suppose -5*x - k = -0*k - 30, 4*k + y = 4*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m**4 - 155*m**3 - 30*m**2 + 320*m + 160 = 0. What is m?\nAnswer: -1, -4\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -427 and 3?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + o**2 - o. Let x be g(1). List the prime factors of 14 - (x - (0 - 1)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.28, 7, 3, -2, -15, 0?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 - 3*c. Let m(q) = 935*q**2 + 1683*q. Let a(t) = -1122*l(t) - 2*m(t). Let r(h) = -h**2. Calculate a(r(x)).\nAnswer: 374*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2 - 2 - 4*z**2 + 6*z**2 + 4*z + 11. Let x be y(5). Let h(i) = 1 + 10*i - i - x. Let r(w) = 14*w - 5. Calculate -8*h(d) + 5*r(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 7*o**2 + 4*o - 14. Let a be t(-8). Let d(i) = 2*i - 20. Let c be d(12). Solve 5*n + 25 = -5*w, -a + c = n + 4*w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**3\/3 - 7*y**2 - 7*y - 257. What is w(-9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428834 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z. Suppose 21*b - 10 = 16*b. Let i(w) = 0 + 30*w**b + 7 - 7. Give i(d(m)).\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 11:14 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -50 (b) -4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*b + 212121 = -44*b. List the prime factors of b.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19879 and 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1595 - -1599. Let v(u) be the first derivative of 13 - 10\/3*u**2 - 8\/3*u - 14\/9*u**3 - 1\/4*u**j. Factor v(r).\nAnswer: -(r + 2)**2*(3*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**4\/12 - w**3\/2 - 2*w. Let f be i(-3). Suppose 1 = 5*c + 6, -z + 5*c + 15 = f. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*v**4 - 2*v - 132 wrt v?\nAnswer: 8*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5208 - 1137 - 2126)*(-u**2 + u**2 - 2*u**2) as j + s*u**2 + c*u and give s.\nAnswer: 16942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 13*q + 35. Let h(x) = -3*x - 9. Let u(d) = -9*h(d) - 2*s(d). Suppose 2*n = -2*y - 0 - 6, 4*n + 7 = -3*y. Determine u(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 6)*(-1 - -2). Let k be -7 + 5 + r*4. Suppose -k*q = 2*q - 8. Solve a - q + 0 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 20 = -8*m. Let g = m + 7. Let x be ((-5)\/(-3))\/(1\/3). Solve g = -x*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -16. Let b = -3 - a. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 47 - 2*l + 3*l + 29 - 6 in the form i + y*l and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 + -58. Suppose -15*k - 1784 = -7979. Suppose -4*f + 5*q = -k, 4*f + q - 208 = 223. Calculate the remainder when f is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 108\/81*-2*404\/448 and -127\/2268.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = 4*m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 2. Let s(r) = r**2 - 7*r - 3. Let t be s(6). Let l = t + 15. Solve 0 = c - l + a, -2*j - 3*c - 1 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 19*j**2 + 17*j + 25. Let x be q(18). Suppose 11 = -x*d - 3. Let t be (8\/(-72))\/(d\/186)*-120. Round t to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -21. Let b(m) be the second derivative of -5*m + 0*m**4 + 0 + 0*m**5 - 1\/2*m**3 + h*m**2 + 1\/10*m**6. What is the second derivative of b(n) wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 6 + 0)*(-5*j**2 + 3*j**2 + 0*j**2) + 4*j**2 - j**2 + j**2)*(0 + 0 - 2) to q + t*j + k*j**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 + 3 + -2 + 3 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, g: 2, i: 3}. What is prob of picking 1 g, 1 b, and 1 i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/16)\/((-6)\/(-4)). Let l(m) = m**3 + 20*m**2 - 19*m + 44. Let z be l(-21). Which is the nearest to x? (a) 0.02 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v = -5*v + 69. Suppose v*o = 3*w + 2388, 1928 = 3*o + w - 476. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*q - 145 + 178 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.88 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*n = 206*n + 344 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**5)**(3\/10)\/(j**(2\/3))**(-3\/4))**(-26) assuming j is positive.\nAnswer: j**(-299\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-71)\/(33796\/(-2240))*-17\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/(-2)*(-4)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 82 = -5*f - 0*n, -2*n - 62 = 4*f. Calculate the lowest common multiple of 30 and (-1 - -1) + (-6 - f).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 10:21 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - (5047\/(-840) + 0). Let d(c) be the third derivative of c**2 + 0*c - t*c**6 + 0 + 1\/20*c**5 + 1\/6*c**3 - 1\/8*c**4. Factor d(f).\nAnswer: -(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - a**2 + a - 1. Let o(t) = 4*t**3 + 7*t**2 - 3*t + 5. Suppose -4*x + 5*n + 1 = -4, 2*n = x + 1. Determine x*g(v) + o(v).\nAnswer: -v**3 + 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 3*l - 18, -5*a + 28 + 14 = 4*l. Solve a*y + 5*v - 14 = -44, 0 = 3*y + v + 19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in -4, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 540 - 524. Solve -2*g - 16 = 4*k - 7*k, -5*k - 2*g = -o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 1 = -4*s, 12 = 4*l - s. Let c be 19\/3 - (-2)\/(-6). Suppose -c = l*x - 10. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 919528 and 26206548?\nAnswer: 52413096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 0.2, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1139*r + 39. Let n(u) = 759*u - 26. Let y(g) = -5*a(g) - 7*n(g). List the prime factors of y(2).\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 5 - 332*f**3 + 101*f**3 - 2*f + 4.\nAnswer: -231*f**3 + f + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**2 - 461*t + 5541. What is n(51)?\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-32))\/(144\/64*2).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7768869 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*u**2 - 21*u**2 - 63*u**2.\nAnswer: 77*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550*a + 23513 = -687 for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**3*m**3 + 2*g**3*m**2*u + 220*g**3*m*u**2 + 4509*g**2*m**3*u**2 + 3*g*m**2*u**2 + 2*g - m**2*u wrt m?\nAnswer: -6*g**3 + 27054*g**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a + 2. Let y be x(-4). Is (-3)\/((-6)\/2) + y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zfz when three letters picked without replacement from rzfyz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 173 - 130. Let h = n + -43.0000424. What is h rounded to six dps?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y - 282*c + 276*c = 1032, 5*c = 5*y - 265 for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnnbbdauradndbnbbbd. Give prob of sequence anu.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/(-5) + (-4)\/10. Suppose j*t - 18 + 6 = 0. What is the second derivative of -3*c**4 + 0*c**3 + 0*c + 0*c**t - 7*c wrt c?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**5 + 2*j**4\/3 - 10*j**3\/3 - 4*j**2 - 11*j. Factor v(u).\nAnswer: 4*(u - 1)*(u + 1)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 - j**2 + 2*j**2 + 9*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 257*b + 6749. Calculate u(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p + 79*p = 25*p + 6969. What is the highest common factor of p and 38?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w. Let d be (-2 - 16)*8\/(-16). Let x(s) = s - 3*s + d*s + 0*s. Give x(g(u)).\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 586 divided by -293\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + -1 + 40\/(-15))*-3. Let a(n) = n + 1. What is a(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 2*z - z)*(3*z + 0*z - 4*z + 2 + 2*z - 2 + (3*z - 3*z + 2*z)*(1 + 1 + 0) - z - 4 + 4 - 2*z - 3 + 3) as c*z + y*z**2 + u and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5920 + 24*x - 15684 + 9764.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 269.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**2 - 22869*x + 296621 = 0. Calculate x.\nAnswer: 13, 22817\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 5*d + v, 80 = 4*d + 2*v + 3*v. Calculate the common denominator of ((-26)\/25*1)\/(12\/d) and ((-1)\/4)\/((-3)\/41).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**1\/l))\/l)**12*(l\/(l\/l**(2\/7)))**37)**(-1\/2) assuming l is positive.\nAnswer: l**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 73873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5265.9 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -64, -97, -150, -229?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3522290 (base 10) to base 14.\nAnswer: -6798c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/23983623 and 41\/15.\nAnswer: 119918115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5285 - -7733. What is the greatest common divisor of j and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -4d61e?\nAnswer: -4d627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 1309 = 2*s + 1213, 0 = -5*v - s + 48 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 897 - 896. Which is the fourth biggest value? (a) l (b) 0.2 (c) 0.3 (d) -23\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*c + 16 = 4*k - 32*c - 26*c, 0 = -2*c + 8 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y + 75. Let n be m(5). Let g be ((-15)\/n)\/3 + 29\/90. Factor -10\/9*p + g*p**2 + 8\/9.\nAnswer: 2*(p - 4)*(p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(44) - 2*sqrt(308)\/sqrt(7))\/(sqrt(4) - (sqrt(4) + sqrt(4) + sqrt(144) + 3*sqrt(144) + sqrt(4))))*4.\nAnswer: -8 + 2*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 - 17 + 3 + 6)*(-32*c + 45*c - 38*c) in the form v + r*c and give r.\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 20 + 20)*(-y**3 + 2*y**3 + 0*y**3)*(15*y + 38817 - 38820 + 10*y).\nAnswer: 25*y**5 - 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 3*h**2 - 4*h - 3. Let u be b(-3). Suppose 3*j + j = 188. Suppose 4*c - j = u. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0 = -2. Let v be (-38)\/(-10) - (-3)\/15. What is the greatest common factor of v and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + m + 5 = 0, -5*m = -2*n - 5113 + 5132 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -909*l**3 + 6*l**2 - 6*l + 1593. Let u(v) = 1822*v**3 - 11*v**2 + 11*v - 3186. Let g(d) = 11*a(d) + 6*u(d). Find the first derivative of g(c) wrt c.\nAnswer: 2799*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*y = 0. Suppose 3*k - 30 = -y*k. Let h be -1 + 2 - -1*99. Calculate the highest common factor of h and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28 + 76\/4)*(0 - 2\/(-1146)). Put w, -0.03, 1\/4 in ascending order.\nAnswer: -0.03, w, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14343 + 14345. Which is the third biggest value? (a) -44 (b) 0.4 (c) w (d) -1 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -86.\nAnswer: -5\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 3)*(2660\/385)\/(-38)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**3 - 4*p**2 - 2*p - 2. Let r(k) = -9*k**3 + 7*k**2 + 5*k + 5. Let q(n) = 2*r(n) + 5*z(n). Find the third derivative of q(d) wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 8)\/3 + 63\/(-15)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3))**(-2\/67) assuming h is positive.\nAnswer: h**(-2\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 169.7421 meters?\nAnswer: 169742100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2540 (base 7) to base 11.\nAnswer: -7a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 56, 287, 912, 2129, 4136, 7131, 11312, 16877?\n\"Answer: 33*m**3 - m**2 + 3*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 592.\nAnswer: 1\/592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1058324 + 538324. Round p to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, q: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 - 15*s - 1. Let v = 207 + -203. Let c be a(v). Solve -5*y = 25, 2*u - c*u - 10 = y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(sqrt(7) + 0 + sqrt(448)).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51e - 35c0b?\nAnswer: -3622a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -100011101 (base 2) to base 14\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-818.\nAnswer: -4090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59341153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 2:17 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1773 and 21?\nAnswer: 12411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202020001121 - 10?\nAnswer: 202020001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -2*g**4 - 2 - g**4 + 4*g**4 + 2*g**2. Find the second derivative of f(b) wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157613 times 0.79?\nAnswer: -124514.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 584.8909 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-88)\/(-22))\/(3*(-220)\/(-12)))\/(18\/(-5)).\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**1)**(-23)*(z\/z**(-1\/8))\/z**(-1\/3))**(-32))**(-27\/4) assuming z is positive.\nAnswer: z**(-4653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -185?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -792 = -1171*h - 2529 + 14927 + 33650 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 322*q**2 - 393*q - 23104. Determine k(-321).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**4 - 22*m + 22*m)*(1 - 3 - 3) + 1 - 1 - m**4 + (3*m**2 - 7*m**2 - 4*m**2)*(-2*m**2 - 7*m**2 + m**2).\nAnswer: 38*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 205545 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 404.14 + -404.140014916. Round d to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 9 - 21 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/66 + (-158)\/(-6). Suppose 23 + j = 5*h. Solve u + 3*p = p + 9, 2*u = -2*p + h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.492098 to two decimal places.\nAnswer: 5.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -0*p - p. Suppose -3*l = l + 4*c + p, 2*l + 5*c = -83. Let u = 75 + l. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -781176 divided by 32549\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**2 + 8*k - 6. Let o(c) = 11*c**2 - 23*c + 17. Determine -6*o(a) - 17*x(a).\nAnswer: 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**7*m)\/m)**9 assuming m is positive.\nAnswer: m**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*s = 213*s + 20. Suppose 135 = -s*v + 415. Calculate the highest common factor of 42 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-1) + -5 + 6. Sort 3, 5, q in descending order.\nAnswer: 5, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmqmwumqqwwwqxqqmqq. What is prob of sequence wu?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 11:26 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1890\/(-4032)*(196\/35)\/14.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*128288.95\nAnswer: 128288.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 146.55 - 143.55. Which is the third smallest value? (a) 146\/57 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**3 + 1. Let f(k) = -4*k**3 + 1. Let w(a) = 6*b(a) - 5*f(a). Let t be w(1). Let v = 2091.2 + -2091. What is the biggest value in t, v, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 2*q - 4 = 0. Solve 3*g - q = 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.24 - 0.3. Let v = f - -0.0600001. What is v rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*z - 231, i + 0*i = 5*z + 65. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200211110021 - -12200?\nAnswer: 2200211122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from vvvvxxvazk.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggsm when four letters picked without replacement from gppttqttmtsgm.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 157*t + 7615. Let c be i(39). Suppose -h + 3*o = 31, 4*o = 3*h + o + 81. Is h <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 6 = -2*z, 18 = 4*k - k + 3*z. Suppose 0 = -2*t + k*x - 0*x + 23, -5*t = -4*x - 40. What is the lowest common multiple of 9 - 4 - t - -1 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 370*t - 1109*t - 13 + 367*t + 363*t. Let y(m) = 14*m + 20. Let s(z) = -z**2 + 8*z - 20. Let l be s(5). Determine l*y(p) - 8*q(p).\nAnswer: 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.448 (b) 1 (c) -2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -25*j - 17. Let w(p) be the third derivative of -p**4\/8 - p**3\/3 + 3*p**2. Let k(o) = 6*l(o) - 51*w(o). Let g(a) = -a. Give g(k(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -144*m + 82*m - 28*m + (-m + 6*m - m)*(-3 + 0 + 0) to z + j*m and give j.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 4:22 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -11200?\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 2*n**7\/21 - 7*n**6\/5 - 28*n**5\/5 + 20*n**4\/3 - 1556*n**2. Determine k, given that a(k) = 0.\nAnswer: -2, 0, 2\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4251.5 + -4252. Let l = 5.11 + -0.11. Which is the smallest value? (a) l (b) s (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 1. Let i(l) = -6*l**3 - 2*l**2 - l + 4. Calculate -i(w) - 4*t(w).\nAnswer: 2*w**3 + 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 350861, 701860, 1052859, 1403858, 1754857?\nAnswer: 2105856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 + 141\/21 - 5\/(105\/204). Let r(k) = 2*k**2 + 20*k + 9. Calculate r(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 - 80.716. Let v = m + -0.283699. Round v to five dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkqt when four letters picked without replacement from qineinqkt.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a8d + -2a959?\nAnswer: -29dbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - 5*d + d)*(4368*d - 31*d**2 - 4368*d) to y*d**3 + r*d**2 + j*d + g and give y.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1. Let j be ((-224)\/(-66))\/(2\/171). Let r = j + -290. Which is greater: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2624 and 133\/504 - 12\/6.\nAnswer: 23616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 f when four letters picked without replacement from {f: 2, k: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 34. Let t(m) be the second derivative of m**4\/2 - 5*m**3\/3 - 3*m**2 - 3*m. What are the prime factors of t(x)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*g**2 - g - 193 - 23*g**2 + 97 + 96 - g**3 to c*g**2 + n*g + s + o*g**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 117, 7542, 5.\nAnswer: -5, 5, 117, 7542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 198 - 214. Let b be ((-2)\/y)\/1 - 558\/(-144). Solve -i + 2*i - 24 = 4*f, 0 = 4*f - b*i + 36 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 141*b**3 + 1. Is r(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 21976*m**2 + 175472*m + 438880.\nAnswer: 4*(m - 5486)*(m - 10)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y. Let c(x) = 3*x + 12. Let b(r) = -c(r) + 6*u(r). Let l be b(5). Suppose 5 = 2*h - l*h, 0 = 3*d - h - 176. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31686?\nAnswer: 2, 3, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*t + 90 = -120*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1124 (base 5) to base 14.\nAnswer: -ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 323905235 to the nearest integer?\nAnswer: 17997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 79 + 126 = 2*k, x + 7 = 0. Let d(h) = -14*h**3 - 26*h**2 + 11*h + 3. Let z(r) = -5*r**3 - 9*r**2 + 4*r + 1. What is k*d(f) - 17*z(f)?\nAnswer: f**3 - 3*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/5944 and 75\/46324.\nAnswer: 68837464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 4*g + 7. Let u be x(6). Let y = u + 7. Suppose -2 = -y*h + 2. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 5, 4, -3, -5 in descending order.\nAnswer: 5, 4, -3, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 0 - (-3 + 4) - (2 + -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 1. Let x(j) = -10*j - 6. Let y(p) = p. Let h(b) = -x(b) - 2*y(b). Let l(f) = f**3 - 4*f**2 + 4*f - 1. Let a be l(3). What is a*h(w) - 14*m(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 11:14 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1052 and 48.\nAnswer: 12624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i - 15 = 0. Suppose -4*v + d = 29, 3*d - 7*d + 2 = i*v. What is the tens digit of 4*2\/(-4)*v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8*s**3 + 3*s**2 - 3*s - 4. Let x(a) = 7*a**3 + 2*a**2 - 2*a - 3. Let b(u) = -2*d(u) + 3*x(u). Find the first derivative of b(g) wrt g.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2 + 320992*z - 641976 = 0. Calculate z.\nAnswer: 2, 160494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 312*y - 70*y - 217*y. Let r(h) = -126*h. Give -22*j(u) - 4*r(u).\nAnswer: -46*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32.6 - -5.4. Let r = -31 - 4. Let u = r + w. Which is the third smallest value? (a) 1.1 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111010000000111 + -10001111?\nAnswer: 1101111001101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 + 7 - 56) + 50.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2074409711 to the power of 1\/3, to the nearest integer?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**2\/2 - q - 1. Let c(f) = f**2 - 8. Let o(y) = -c(y) + 4*d(y). What is the units digit of o(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((20\/18)\/(-5)). Suppose -q*r + 7*r + 18 = n, 4*r = n + 12. Let v = 3 - -1. Solve 0 = 3*t + n + v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -33*(-13 - -5 - -7). Which is smaller: 98\/3 or f?\nAnswer: 98\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 728, 2468, 5852, 11426, 19736, 31328?\nAnswer: 46748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13248535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596020732 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -22\/27035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1. Let q(z) = z - 5. Give -20*n(f) - 4*q(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2366.39 times 0.2?\nAnswer: 473.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 70\/11? (a) -3 (b) -2 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -3*c + 17*w - 47*w, -2*c - 32 = 11*w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 2. Let i = -6 + -11. Let a(q) = 97*q**2 + q + 1. Let f(u) = 1743*u**2 + 18*u + 24. Let y(g) = 18*a(g) - f(g). Calculate i*n(m) - 6*y(m).\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 33\/(-6))*3248\/(-1160).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-28) - 80\/(-14). What is the units digit of (-4)\/7*(-21)\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 2*r**3\/39 - 4*r**2\/13 - 10*r\/13 + 13. Factor d(h).\nAnswer: 2*(h - 5)*(h + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 315 = -n. What are the prime factors of (-7)\/(n\/(-25))*-31?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + 16*k**4 - k**3 - 7*k**4 + k**2 + 0*k**3 to the form p*k + j*k**4 + r*k**2 + f*k**3 + z and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u**3 - 5*u**3 - 11*u**3 + 40*u**3 - 12*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4534\/9 - -25037\/45. Which is smaller: -1\/4 or b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - 8\/(-20).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63 - 31 + 110*n**2 - 98*n**2 + 29 to the form a + j*n + r*n**2 and give a.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5019660 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4))**(11\/5)*(i*i**(-1))**(4\/9))\/((i*i\/(i**(-1)\/i)*i*i)**(1\/3)\/(i\/(i**(1\/3)\/i))**(-41)) assuming i is positive.\nAnswer: i**(-4187\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 265128 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180471?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*j + 17*j**2 + 13*j + (-6 - 2*j + 6)*(j + 3*j - 3*j) + (4*j - 4*j - j**2)*(4 + 0 - 2).\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-10)\/9 - (1582\/42 + 77)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3244285 is divided by 232?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 18 + 0*z + 7*z**2 - 4*z - 16. Let y = -56 + 59. Suppose 0*r + 11 = n + 5*r, 0 = y*n + 4*r. Let x(k) = -6*k**2 + 3*k - 2. Determine n*x(s) - 3*l(s).\nAnswer: 3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119936 by 7.\nAnswer: 119936\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56466 and 3888?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 699185*m + 6*m**2 - 13*m**3 + 14*m**3 - 2 - 699181*m + 5. Let b = 13 - 18. Calculate d(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 * -149.7168.\nAnswer: -25.451856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 0*o**4 + 1\/6*o**6 - o**2 - 3 + 0*o**3 + 0*o + 0*o**5. What is the second derivative of d(r) wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172229679815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**5 - 102735*t**4 + 4306645*t**3 - 12200865*t**2 + 7996950*t = 0?\nAnswer: 0, 1, 2, 39, 20505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (16\/(-80))\/((-1)\/305)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 10:22 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((6\/(-12))\/((-6)\/(-36)))\/1. What is the second biggest value in 0.5, -340, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6275459025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*m**3 - 3*m**3 - 7*m**3 + (-3*m**2 + 0*m**2 + 2*m**2)*(4 - 4 - m) to the form u*m + h*m**3 + j + t*m**2 and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = -y, 3*n - 7*y = -5*y + 15. Solve 4*o - n*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(-627) + (-224)\/3927?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:49 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {p: 3, e: 7, j: 3, d: 3, r: 1, m: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -487*g**2. Let m(q) = 5*q - 63. Let o(n) = -n + 14. Let l(a) = 2*m(a) + 9*o(a). Determine x(l(c)).\nAnswer: -487*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-5))\/(2370\/125 - 19) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -168, 564, 69 in descending order.\nAnswer: 564, 69, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*h + 2 + 366*h + 68*h - 8.\nAnswer: 399*h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 11*v**2 + 11*v + 14. Suppose -9*y - 101 + 11 = 0. Let c be a(y). Solve -m - 8 = 2*o - c, -16 = -m + 3*o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2 - 11 = 0. Suppose v*g + 108 = 7*g. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18786137 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 7:17 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(x + x + 2*x)*(-1 + 1 - x).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -13\/414 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 217 - 410. Let q = -192.9 - g. What is the nearest to -2\/7 in q, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*u + 2014 = -473, -4*i + 2*u + 10020 = 0. Suppose -6689 = -14*q - i. List the prime factors of q.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, -46, 9, 3 in decreasing order.\nAnswer: 9, 7, 4, 3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 - 1171*s - 36449. Determine t(-33).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {q: 3, i: 5, m: 1, k: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**10*z**(-1\/3)*z*(z*z\/((z*z**(1\/25)\/z)\/z*z)*z)\/z*z**4 assuming z is positive.\nAnswer: z**(1247\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 11*g + 11. Let s be j(10). Let d(r) = -r**3 - 2*r**2 + 6*r - 1. Let z be d(-4). Let b = -16 - -15. Sort s, z, b in increasing order.\nAnswer: b, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110011110 + -101100010011111011?\nAnswer: -101011110101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2025) - (-2*sqrt(2025) - sqrt(2025)) - sqrt(2025) - sqrt(2025))\/(3*sqrt(25)\/sqrt(5)))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16540 - -1?\nAnswer: 16541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/49)\/((-1)\/21)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1118.6325 - 1131.7. Let g = -13 - a. Let d = g - 0.06. Round d to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 5*z - 26, 4*i + z = 3 - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0281 and 1.73.\nAnswer: -0.048613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 6*y + 3. Let r be -3 - 105\/(-7 + 2). Suppose 4*f = 4*b + 40, -2 + r = -4*b. Let u be h(f). Solve -2*g - u*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -104. Let c = w - -105. Suppose -2*h + c = -415. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 10. What is the biggest value in 5, t, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21450 is divided by 1434?\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.48576 - -0.01424. Which is the biggest value? (a) -102 (b) j (c) 0.4 (d) 0 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41440)\/(-161))\/16 + 1\/(138\/(-12)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 at most as big as -196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53061 - 155431\/3. Which is smaller: 1250 or t?\nAnswer: 1250","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/2096, 0, 5, -0.1, -0.2, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 357990868 by -10588.\nAnswer: -33811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*p - 354, 9*j - 153 = 8*j - 5*p. Suppose -2*u = -w - 1035 - j, 4*u = -w + 2410. List the prime factors of u.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27779, 111138, 250075, 444596, 694707, 1000414?\n\"Answer: a**3 + 27783*a**2 + 3*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2200 or 0.0705?\nAnswer: 0.0705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3) - (7 - (-352)\/(-24)). Suppose -5*x + 5*v + 42 = -z, 4*x = -v + 15. Solve 0 = -4*o + 25 - x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l - 40. Let u = -29 + 8. Let g = 36 + u. Calculate the remainder when g is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -4623042\nAnswer: 1\/4623042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + j + 419 = 0, -4*v - 389 + 2062 = -5*j. Suppose 3*i = i + v. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452823 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2586)\/(-18) + 5\/15. What is the hundreds digit of 29349\/24 + 18\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**9\/3780 + s**8\/1050 + 11*s**3\/6 + 11*s**2. Let n(g) be the first derivative of a(g). Factor n(l).\nAnswer: 4*l**4*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**3\/9 + 22*t**2\/3 - 128*t\/3 - 2720\/9 = 0.\nAnswer: -4, 17, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q. Let j(d) = -2*d + 32. Let o be j(14). Suppose -o*z = 10*z - 14. Let a(i) = -3. Let t(n) = n + 1. Let p(c) = z*a(c) + 3*t(c). Calculate p(h(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6*p + 288. Let l be -2 + 1 + (-8)\/(-2). Suppose 0 = -3*f - 3*k + p, 0 = 3*f + k - l*k - 116. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.022*185.\nAnswer: -4.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 152\/13 - 1857\/260. Calculate the common denominator of (27\/4)\/(1*(-12)\/(-18)) and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 1:37 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-108)\/(-99)*2\/(-4). Let l = k - -40\/33. Factor 0*d + 0 + 2\/3*d**4 + 2\/9*d**2 + 2\/9*d**5 + l*d**3.\nAnswer: 2*d**2*(d + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26, -23, -16, -5, 10, 29, 52?\n\"Answer: 2*n**2 - 3*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5325662*-0.42\nAnswer: -2236778.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30630*r**2*y + 7*r*y - 2*r - 2*y - 20 wrt r.\nAnswer: -61260*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 2*r**2 - 3*r**2 + (-3*r - 3*r + 4*r)*(0 + r + 0))*(107 - 107 + r**3).\nAnswer: -3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -178 and -176 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 7:31 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 4)\/((-1)\/4). Suppose 23 = -l*s - 5*q, q - 6*q = -5*s + 5. Let z be (54\/(-15))\/(s\/15). Solve w + 5*p + z = 0, -3*w = -2*w - 5*p - 23 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 7. Let w be d(8). Let b be w*-3*(2 - 95). Suppose 5*k = 46 + b. Calculate the remainder when k is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -36, -33, -10, 39?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/18 and -145\/404388?\nAnswer: 404388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 3*j**2 - 4. Let b be t(3). What is the tens digit of (-1)\/b - (-195)\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.18 + 0.46. Let g = -2.6 - y. What is g rounded to 1 decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4\/19 - 216*z**3\/19 - 442*z**2\/19 + 216*z\/19 + 440\/19 = 0.\nAnswer: -2, -1, 1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*t = -69*t + 16 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -525 + 525. Let w(u) = -u**3 + u**2 - 2*u + 10. Determine w(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022 (base 3) in base 8?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6*z**3 + 26*z**2 - 1029*z + 4105. Give u(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 10:20 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144 + -137. Let i be 3 + r\/((-42)\/(-228)). Suppose -36*g - 170 = -i*g. Calculate the remainder when g is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**4*z + 6*b**2*q*z + 56*b**2*q - 5*b*q*z + 2*b*q - 112*b*z - 2*b - 24*q*z wrt b?\nAnswer: 72*b**2*z + 12*q*z + 112*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-396)\/4884*(-1)\/((-3)\/2).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1 + 5 = 0. Let y be a*1\/8 + 3\/(-4). What is the closest to -1\/5 in -2\/5, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -908 + 1603. Let m = -700 + o. Which is the nearest to 2\/7? (a) 3 (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-35)*4\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934 is divided by 284.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 48. Give r(-13).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 4*g + 4*g)*(-39*g**2 + 51*g - 48*g**2 + 61*g**2)*(7 - 3 - 2).\nAnswer: -104*g**3 + 204*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2796171.\nAnswer: 3, 7, 47, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 82, 3.\nAnswer: -4, 3, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40*31\/(-11160)*-1.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1\/3))**(-11))**(3\/10)*((j\/(((j*j**1)\/j)\/j*j))\/(j**7\/j))**(-3\/5) assuming j is positive.\nAnswer: j**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -310554990 rounded to the nearest 100000?\nAnswer: -310600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 + 0.16. Let r = d + -3.1. Suppose -j + 1 = -2. What is the third biggest value in 2, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, w: 7, m: 2, h: 1, i: 3}. What is prob of sequence winw?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from {v: 7, y: 1, i: 3, e: 3, p: 3, j: 1}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 7*v**3\/6 - 3*v**2 + 2*v. Let f(z) = -6*z + 5. Suppose -5*m + 8329 = 8299. What is m*f(x) + 5*t(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 13 + 3. Let g = 13 + c. Let a = 4 + -3. Solve 4*w - a + 6 = i, g = i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21392)\/392 - (-14 - 39)?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16936661 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 - 6.92. What is the smallest value in p, -0.4, -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -0.193834?\nAnswer: 0.493834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) -0.8 (b) 3 (c) -0.3 (d) 0 (e) -225\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/24 (b) 3 (c) 2 (d) 0 (e) 100\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 - 611*j**2\/3 + 16016*j\/3 + 24592.\nAnswer: -(j - 29)*(j + 4)*(j + 636)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45398267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634623749.\nAnswer: 53, 11974033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11656 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 142046 to the power of 1\/2, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 35317, -10\/9, -2\/5, 0.\nAnswer: -10\/9, -2\/5, -0.1, 0, 35317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -84*j + 870 - 30 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25027*j + 14275*j + 13682*j + 29930*j.\nAnswer: 82914*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4 - 6*v + 4 + 4. Let k(o) = -316 - o - 308 + 625. Determine 5*k(m) - x(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2762 + 2488. Let y = 210 + d. Round y to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.49, -4, 116, -3\/8.\nAnswer: -4.49, -4, -3\/8, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000120308 to six dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -411, -2223, -7307, -17301, -33843, -58571, -93123, -139137?\nAnswer: -198251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 982384 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*w - 5*w + 3*f + 14, 3*w + 3*f = -15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 13*d**2 - 24*d + 30. Give h(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {o: 2, f: 1, c: 2, a: 4}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -242 + 289.7. Let b = 48 - n. Let f = -2.9 - -3. What is the closest to f in -1, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240193971 a multiple of 1814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1423254 and 54796?\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 351 - 270. Suppose n = 4*k - 105, -5*k + 4*n = -215 + q. Calculate the greatest common factor of k and 962.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1263 + -1261. Solve -r*y + 2 = -0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8 - 4) + 4)\/1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8017336*k**3 - 1609766*k**2 wrt k?\nAnswer: -48104016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1050 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 91.3.\nAnswer: -1186.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*c + 4*u, -4*c + 5*u + 6 = -33. Let l be 0 + 5\/(15\/c). Let p(d) = -3*d + 3 - 3 + l*d. Let w(y) = -6*y**2. Give p(w(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-1)*(3 - 4). Suppose -q = 2*t - 6. Let g(k) = -k**2 + k**2 - k**t. Let i(u) = u**2. What is g(i(v))?\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22551, 21455, 20359, 19263?\n\"Answer: -1096*q + 23647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11475 = 3*c + 2*c. Let s(y) = 6*y**2 + c*y - 2295*y. Let q(a) = -a. Calculate q(s(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddkkkkkddkkkkk.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*1\/(48\/40). Sort 210, c, 5 in descending order.\nAnswer: 210, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 29392979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 82 + 45 + 85*y**2)*(-7*y + 2*y + 0*y).\nAnswer: -425*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5380 + 5384. Solve 4*s - 22 = -2*g, 7 = a*s - g - 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Suppose 4*m = 12 - 4. What is the remainder when u is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, -5, -26, -67, -134?\n\"Answer: -a**3 - a**2 + 3*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-99) - (-84)\/22. Let z be ((-10)\/r)\/((-2)\/832). What are the prime factors of z\/50 - (-1)\/5?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 2*a + 636 - 750, 8*x + 2*a - 218 = 0 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47640080 a multiple of 577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20940270973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 268\/6566 + 3809\/(-882) and 83\/306?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 30140*x**2 + 2166192*x - 38968128.\nAnswer: (x - 30068)*(x - 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - h**2 - 14*h**3 - 55*h**3)*(8 + 2 - 4).\nAnswer: -414*h**3 + 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94833.73g to kilograms.\nAnswer: 94.83373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2723 is divided by 201?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -317, -488, -719, -1010?\nAnswer: -1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 4*r + 5. Calculate the remainder when 20 is divided by k(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*l + 2988 - 5424 = 0 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 3:38 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165277802, -165277801, -165277800, -165277799?\nAnswer: -165277798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4168.31*146.6\nAnswer: -611074.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 229.687nm?\nAnswer: 0.0000229687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*2\/(-3)*-6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12703.\nAnswer: 12703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19312 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-6)*(-8)\/(-156). Is i < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-479)\/(-9) + (-14)\/63. Suppose -29733 = -101*h - 49*h - 37*h. Calculate the highest common factor of h and t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -112 - -125. What is the second derivative of -a*h + 2*h**5 - 16*h**3 + 2*h**3 - 60*h**3 + 10*h**3 - 162*h wrt h?\nAnswer: 40*h**3 - 384*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(243))*3 + (sqrt(243) + 1 + -1)**2 - (6*(sqrt(243) + 3)*-5)**2.\nAnswer: -226557 - 48573*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 51 - (-2 - (5 + -4 + 9)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-6)*102\/85\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-42)\/(-28))\/(-2 - 4). Is -5\/7 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3089708*b**2*g**2 + 916*b**2 + 89*b + 3*g**3 - 15 wrt g?\nAnswer: -6179416*b**2*g + 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**4\/4 - 6*p**3 + 2*p**2 - 72*p + 1206. Determine m(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**2 - 17*w + 81. Let t be x(4). Do -55 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 43650?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 148\/21? (a) -0.7 (b) 0.022 (c) 5 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5292 + 5283. Let g(p) = p + 15. Give g(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -5*j - 27, 0 = -j + 11*u - 129 + 48 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46882436 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 0*t**2 - t**2)*(-1 - 2 + 6) + (-t + 1 - 1)*(4*t + t - 3*t) - t**2 - 2*t**2 + 12*t**2.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 3101203410?\nAnswer: -3101203401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*o**3\/5 + 27*o**2 - 12*o\/5 - 396\/5 = 0. What is o?\nAnswer: -6, -2, 11\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-310)\/40*212\/(-1). Suppose b = 7*z - 1808. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence riir when four letters picked without replacement from iiiriirriii?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 12*u + 17. Let o(q) = -1. Let f(t) = -m(t) - 6*o(t). Is f(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 13*g - 25. Let m be z(10). Suppose 4*j = 3*y + 6, 0 = 3*y - 5*j + 1 + m. Put y, 0, -5 in descending order.\nAnswer: 0, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 57*x**2 - 73*x + 934. Give t(56).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**2 + 71*m + 6*m**2 + 0*m**2 + 17*m**6 - 66*m - 15*m**6 + 261*m**3 wrt m.\nAnswer: 240*m**3 + 1566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/4)\/(t*t\/(t*t**(-1\/4))*t*t)*t\/t**3*t*t**(5\/3)*t assuming t is positive.\nAnswer: t**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**3 - 1546866*a - 86328538.\nAnswer: 6*a**2 - 1546866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.1 plus 0.0810971575?\nAnswer: 22.1810971575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469621?\nAnswer: 251, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 6, -2*x + 8 = -5*n + 69 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3469795 (base 10) to base 3.\nAnswer: 20112021122221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 + -404. Let j = -312.99999855 - w. What is j rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 9. Let n be k(-4). Solve 3*h + 2*r = 11 + 5, 3*h - r = n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25775, 25781, 25787, 25793, 25799?\nAnswer: 25805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z + 23 = 3*y, -19 = -5*y + 3*z. Suppose -4*v - 4*w = -5 - 11, y*v - 4*w - 47 = 0. Solve v + 8 = 3*l, -4*l + 11 = 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 14*s**2 - 15*s - 4. Let w(j) = -j**3 + j**2 - j - 2. Let t(y) = -r(y) + 2*w(y). Let p be t(-13). Solve p*a = 6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.822 to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2269, 5771, 9259, 12733, 16193?\n\"Answer: -7*x**2 + 3523*x - 1247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 24, 3\/7, -2\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**4 + 508*f**3 + 10786*f**2 - 426568*f - 892248 = 0.\nAnswer: -226, -47, -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41995 = -38*f + 292263. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.39 times 1?\nAnswer: -46.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 68.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (224\/(-24))\/(11\/6816). Let a = -5779 - y. Find the common denominator of a and 19\/4*8\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1068.15 times 0.0437\nAnswer: -46.678155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1012*c - 2 + 13396*c + 0 as b + v*c and give v.\nAnswer: 12384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 10 - 29)*(-4*f - f + 0*f)*(f**2 + 4 - 4) in the form l*f**3 + m + k*f + b*f**2 and give l.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**3\/3 - 3*m**2 + 2*m + 1. Calculate r(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -3 - -1) + 5 + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 6 - ((0 - -6) + -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 6:11 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-35)*(-2)\/(-1)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**13\/(p*p\/p**(-2\/21))*(p**(9\/5)*p)\/p**0 assuming p is positive.\nAnswer: p**(1439\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (3 + -9 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-16) assuming v is positive.\nAnswer: v**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**3\/3 + 18. Let z(r) = -7*r + 18. Determine t(z(b)).\nAnswer: 49*b**2 - 252*b + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - h - 40*h**3 + 3*h**2 + 38*h**3 - 2 as u*h**2 + x + y*h**3 + s*h and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, 1, 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 1066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 176, 174, 174, 176, 180, 186?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 127 + 307 = 0. Let m be (1 - 0) + h\/54. Let u = -367 - -367.2. Which is the nearest to -0.05? (a) m (b) 1\/6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023798 - 7?\nAnswer: -6.976202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -0.3, 0.033?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 2*r + 0*r)*(3 - 3 - 2) + 7369*r - 16451*r + 6703*r.\nAnswer: -2381*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 12.71. Let m = -0.19 - x. Sort 0.4, m, 5 in increasing order.\nAnswer: m, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(176) - ((sqrt(176) + 2 - sqrt(176)) + -3) - (2 + sqrt(176) + sqrt(176) + sqrt(176) + 2)))**2 + 2.\nAnswer: 1728*sqrt(11) + 25670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (864\/82782)\/(112\/98)?\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 159? (a) 0.7 (b) -10\/11 (c) -0.1 (d) -0.5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adpddaaa. Give prob of picking 1 a and 2 d.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m + 8 = 3*v, 3*m = -3*v. Suppose -5*s + q + 48 = -v*q, 2*s - 17 = -q. Calculate the remainder when (-28 - -3)\/((6\/(-3))\/2) is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/10, -169954\/55, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1507479.\nAnswer: 3, 19, 53, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*l + 29*l - 120 = -24*l. What is the remainder when 311 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**2\/7 - 18*o\/7 + 36\/7 = 0.\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -326843 divided by -5\nAnswer: 326843\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -87*f - 1754. Let u be n(-20). Which is greater: -235\/18 or u?\nAnswer: -235\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/7)\/q**18*q**11\/((q\/q**(4\/5)*q*q)\/q) assuming q is positive.\nAnswer: q**(-292\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 6801*z - 6820*z = -45, 0 = -4*g - 3*z + 36 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -4 (c) -5 (d) -2\/9 (e) -0.2 (f) 0.894\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 6*g = 4 - 23, -16 = 1604120*q - 1604116*q - 4*g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6*b = 72840, 2*a - 2*b = 8502 + 27922. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14311 - 10?\nAnswer: 14301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/13 + 6078*p\/13 = 0. What is p?\nAnswer: 0, 3039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28843 - 29025 = 14*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 2*r + 7, -49*z = r - 51*z + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*k - t = 87*k + 5, 5*k + t = -33. Let d(q) = -q + 2. Let f(n) = -3*n + 5. What is k*d(a) + 2*f(a)?\nAnswer: a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -206084 and -206084 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 0 - v + 0. Suppose 0 = -a + 2*a - 4*l - 6, -a - 2*l = 0. Let i(z) = -a + z + 2 - 3*z. Give p(i(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqqb when four letters picked without replacement from qbqqbbqbbqqb.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0 (b) 3 (c) -2 (d) 26993\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**3 - 6*g**2 + 8. Let x(y) = -9*y**3 + 13*y**2 - 14. What is -7*a(d) - 4*x(d)?\nAnswer: d**3 - 10*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j - 11. Let c(p) = -4*p + 21. Let w(u) = 2*c(u) + 5*g(u). Suppose 0 = 3*n + 5*f - 10, 3*n + 20 = 4*f + 66. What is w(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (178\/(-32040))\/((-3)\/24).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/52 + 8\/(-52). Let y(z) be the third derivative of -1\/60*z**5 + 0*z - 1\/4*z**4 + r*z**3 + 0 + 3*z**2. Give y(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 831 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17820 and 777150?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 7\/5*x**3 - 152\/5 - 217\/5*x + 1\/10*x**4 - 117\/10*x**2 = 0?\nAnswer: -19, -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2. Let i(x) = -373*x**2 + 2. Calculate i(t(j)).\nAnswer: -3357*j**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + 2*c + 0*c)*(-3*c**2 - c**2 + 3*c**2) + 73166*c**3 - 46*c + 3*c**2 - 73111*c**3 + 64*c as i*c + s + q*c**3 + l*c**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmofssmmoss. Give prob of picking 2 m.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y = 17 - 41. Let i(b) = -3*b**3 + b**2 - b + 1. Give i(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**2. Let q = 10 - 9. Let g(p) = p - 1. Let t(k) be the second derivative of 5*k**3\/6 - k**2 - 2*k. Let v(f) = q*t(f) - 2*g(f). Determine v(u(c)).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 10*m**2 - 2*m - 13. What is x(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41, -108, -235, -428, -693, -1036?\n\"Answer: -z**3 - 24*z**2 + 12*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q + 7*q - 17*q as h*q + u and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*r - 155*r - 176. Put 177, 4, 2, r in ascending order.\nAnswer: r, 2, 4, 177","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0.4 (c) 0.062\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n - 50. Give s(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77170108 is divided by 2859?\nAnswer: 2839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*j = s + 19, 2*j = 4*s - 14. Let w = j - -50. What is the remainder when 80 is divided by w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 15. Let i(p) = 23*p + 7. Does 6 divide i(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332 + 310 = -4*i - f, 8*f - 11 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.432 - -0.4567. Let y = n - -3.6653. Let o = -3.690199 + y. What is o rounded to 5 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/4)\/(55\/(-20)). Let v = s - -37\/286. Let m = -5\/39 - v. What is the nearest to 0 in 0.1, -4, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 882 by -18.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t**3 + 2*t**2 - 2*t - 3. Let j(c) = -15*c**3 + 4*c**2 - 4*c - 7. Determine 3*j(p) - 7*s(p).\nAnswer: 4*p**3 - 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 47.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 271*q + 1 - 517*q + 1071*q - 280*q + 40*q**2.\nAnswer: 40*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38\/17? (a) -1 (b) 0 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f + f**2 + 2 - 4 + 5. Let q be h(-3). Suppose 2*a - 5*d - 3 = 0, q*a - 16 = d - 5*d. Solve 2*w + 7 = -t, -a*w + 2*t + 2 = 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-11 + 22 - 41)*(u + 3*u - 2*u).\nAnswer: 120*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9 = 6. Suppose -w*c + 2*c = 0. Solve 2*v = -c*v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456 - 93*x**3 - 14*x**3 - 52*x - 80*x**2 + 103*x**3 = 0 for x.\nAnswer: -19, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7\/g**(-2))\/(g\/(g\/(g*g*g**14))*g**6) assuming g is positive.\nAnswer: g**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + 4*(sqrt(1900) + -1) + -3*(sqrt(1900) + sqrt(1900) + -1))**2*-4 + -3.\nAnswer: -30469 - 640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116440380?\nAnswer: 2, 3, 5, 7, 92413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -389*r - 209*r - 5*r**3 + 2*r**2 + 643*r as a + z*r**3 + s*r + l*r**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1747?\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 4542147?\nAnswer: 31795029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1105*v + 202*v + 211*v + 257*v + 203*v + 231*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 8*y**2 - 9*y + 5. Let a be w(9). Let f be 6\/(-9) - (-2)\/3. Suppose 50 = 5*q + a*k, -3*k + 37 = 4*q - f. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z - 10. Let k(x) = 6*x + 4. Let t(y) = 17*y + 11. Suppose -2*p - 16 = -6*p. Let l(f) = p*t(f) - 11*k(f). Calculate n(l(d)).\nAnswer: 8*d - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 300935700 rounded to the nearest 1000000?\nAnswer: 301000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (-20 - 64) - -57.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-4 - -8) - 4. Which is the closest to 0.1? (a) q (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1044 = 7*k - 11*k, -3*k = q - 783. Calculate the greatest common factor of 1131 and k.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5600 + 2799 + 195*j**2 + 2800 + 232*j**3 wrt j.\nAnswer: 1392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5239, -5833, -6429, -7027, -7627?\n\"Answer: -f**2 - 591*f - 4647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*d - 205*d + u = 23168, -2*d + u = -23176. Is d a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 862399*z**3 + 22*z**2 + 26914*z.\nAnswer: 5174394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-708\nAnswer: -708.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -149456810467.\nAnswer: -149456810467.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 13*j**2 - 48*j + 47. Calculate p(-8).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 138863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14 + 45\/10*24\/(-18). Which is greater: k or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/3)*r\/r**(-17\/2)*r**9*r*r**(-2\/65)*r assuming r is positive.\nAnswer: r**(8243\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 + 4)*(-2*l**3 + 2*l**3 - 3*l**3) in the form z*l**2 + m*l**3 + q + t*l and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**5 + 1425*l**3 + 78*l + 7 wrt l?\nAnswer: 40*l**3 + 8550*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-3) + -4 + -5 + 10)*1. Let v(h) = -h + 1. Let s(k) = -4 - 2*k**2 + 7*k + 0*k**2 - 1. Give z*v(c) - s(c).\nAnswer: 2*c**2 - 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 11:25 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.992 + -0.008. Let n = -20 - d. Let g = 47.4 - 48.4. What is the closest to g in n, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 228270769?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1629*f**3 + 6*f**2 + 744*f*r**3 + 1024457*r**3 - 2*r**2 wrt f?\nAnswer: 4887*f**2 + 12*f + 744*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/21, -1, -0.1, 2, 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**3 + 7289136*n**2 + 13282963375824*n + 318786922491264 = 0.\nAnswer: -3644556, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35805)\/825 - -43)*(-5)\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2247771958 a multiple of 8343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**5\/90 - 23*u**4\/9 - 3*u**2 - 680*u + 1. Factor f(k).\nAnswer: 2*k*(k - 92)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/1)\/(0 - 3). Let o = 4.393 + 0.007. Let i = o + -4. Which is the biggest value? (a) q (b) -2\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -90221 (b) -3 (c) -1\/5 (d) 1\/3 (e) 3 (f) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -730 - -1217. Is p + -2*(0 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) 2 (c) -0.2 (d) 41 (e) 21 (f) -3\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70.2 - 31. Is p >= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d - 11*d**2 + 17*d**4 - 5*d**2 + 7*d**4 + 4*d**3 = 0. Calculate d.\nAnswer: -1, 0, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41550*f**3*h**2 - 276831*f**3*h - 2*f**3 - 3249*f**2*h**2 + f**2 + 4*f + 23*h wrt h?\nAnswer: -83100*f**3 - 6498*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) - (5 + (sqrt(1377) + 1*sqrt(1377))**2) - ((3 + sqrt(51)\/sqrt(3))**2 - -5*(sqrt(153))**2).\nAnswer: -6304 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25443077 a multiple of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10929*q + 2 = 10928*q, 0 = -9*j + 2*q - 140 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -23, 10, 43?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14224 + 14228. Suppose 5*a**3 - 7\/6*a**p - 5\/2*a**2 - 20\/3*a + 2 = 0. What is a?\nAnswer: -1, 2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9343*a + 12061 - 3119*a - 3111*a - 3115*a.\nAnswer: -2*a + 12061","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - b = 5*n - 2, 4*b = n + 14. Suppose 4*r - 2*r = 112. What is the second derivative of -5*a**4 + 2*a**2 + 60*a - n*a**2 - r*a wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/67 (b) -7 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 0 + 1\/840*d**8 + 0*d + 1\/525*d**7 - 1\/150*d**5 - 1\/300*d**6 - d**2 + 0*d**3 + 0*d**4. Suppose m(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ici when three letters picked without replacement from ccrciicic?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8338413637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*q + 48. Calculate the least common multiple of 12 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8)*1)\/(((-8091)\/36084)\/(-87))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160084, 467, 2 in ascending order.\nAnswer: -160084, 2, 467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10922683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*s**2 - 27 + 65*s**2 + 61*s**2 + 128.\nAnswer: 2*s**2 + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 29*c - 7. Let n(l) = -13*l + 4. Let k(w) = -3*f(w) - 5*n(w). What is k(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 20 = -2*l. Let d be l\/(2*-1 + 1). Suppose 2*n + 10 = 2*j + 2*j, -j - 2*n + d = 0. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 0)**2 + 6*sqrt(34)\/sqrt(2) + -1.\nAnswer: 6*sqrt(17) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + s**2 - s + 21. Calculate j(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327017 is divided by 1656?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(63))*-3 - ((sqrt(63) - sqrt(63)*1) + sqrt(63))*4)**2 - 3*(sqrt(56) - (sqrt(336)*-2)\/sqrt(6))\/(5*sqrt(24)\/sqrt(3)).\nAnswer: -1269*sqrt(7)\/5 + 3123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**6\/1080 + 2*o**5\/45 - 5*o**4\/24 + 9*o**3\/2 + 7*o**2 + 2. Let j(n) be the first derivative of h(n). Factor j(x).\nAnswer: -(x - 15)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 2939.\nAnswer: -14695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776 is divided by 160?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 8 = -0. Is -3 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-2*5\/(-14230))*1.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 17*o - 5. What is x(-3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 0*r + 4*r = -7*r + 9*r + 3*d - 4, 0 = 15*d + 16*d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 74 + -11771?\nAnswer: -11686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4)*s*s\/s**(-8))\/(s**(-8)*s**(3\/4)) assuming s is positive.\nAnswer: s**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 186443380*d + 8690283486456100.\nAnswer: (d + 93221690)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 8*o + 3. Let v be h(-8). Let i = 35 - v. Calculate the greatest common factor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1962419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-82)\/3 - 1*11\/(-33). Which is the fourth smallest value? (a) m (b) 0.1 (c) -2 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -14*b**2. Let r(h) be the third derivative of h**4\/8 + h**3\/3 + 2*h**2 - 1559. Determine r(g(z)).\nAnswer: -42*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 24*v**2 + 769*v + 37. Let y be w(-32). Solve i = -2*r - 2 + 9, -r - 10 = y*i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/616*4\/(2\/(-4)*4)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4 = 4*d, -d = 4*a - 987. What is the greatest common divisor of 19 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 273 and 7085.\nAnswer: 148785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 1:18 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 8*l + 8. Let o(f) = -f. Let k be o(-3). Let g be b(k). Suppose 4*x = 4*s - 140, -g*s = 2*x + 3*x - 84. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008273 to 6 decimal places.\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**3 + 52*y**2 + 34*y - 30. Let x be g(17). Which is smaller: x or 835?\nAnswer: 835","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + r. Suppose 0 = -2*l + 2*s + 31 + 63, r = -3*s - 6. What is the remainder when l is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 705 and 15463?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 214, 525, 982, 1597, 2382, 3349?\nAnswer: 4510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4162 divided by -3.\nAnswer: 4162\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) 29 (b) 7\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upkauuapsuks. What is prob of sequence psua?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 - 82*s - 13572\/7.\nAnswer: -2*(s + 26)*(s + 261)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = 4. Suppose 5*p = 5*c - 230, -n*c + 54 = -5*p - 76. Calculate the remainder when c is divided by 31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 770 and 5346.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 1418267617.\nAnswer: 1418267622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5605\/59*(-1)\/(-5)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(112)*2 - sqrt(112)) + sqrt(112))\/sqrt(7)*-4)\/(6*(sqrt(8) + -6*sqrt(32)\/sqrt(4))*4).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - 3*u**2 + 6*u - 2. Let f be q(5). Let p = 334 - f. List the prime factors of p.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m + 2. Let i(d) = d. Suppose -4*q - n - 2 = 0, 23 = -4*q - 4*n + 27. What is q*h(b) + 3*i(b)?\nAnswer: -3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -0.4, -4, -1, 2826?\nAnswer: 2826","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, -13, -41, -85, -151, -245, -373?\n\"Answer: -f**3 + f**2 - 14*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**3\/3 - 1. Let u(o) = 11*o + 2. Let i(t) = 43*t + 9. Let d(k) = 2*i(k) - 9*u(k). Determine a(d(g)).\nAnswer: 169*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1333615.\nAnswer: 5, 109, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 minus -97.9828?\nAnswer: 104.9828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 6*r - 5*b - 20, 2*r - 5*b = 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2 or 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(88) - sqrt(88)*1 - sqrt(88)))\/sqrt(8) + -1 + (-1*sqrt(11)*-6)**2.\nAnswer: -3*sqrt(11) + 395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/7163744 and 89\/3581872.\nAnswer: 7163744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32306232 (base 7) in base 5?\nAnswer: 1201233102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31486.\nAnswer: 2, 7, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 12.9?\nAnswer: 38.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126339 is divided by 500.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -4. Suppose n = -a + 4*h + 10, -5*h = -5*a - 4*h + 12. Factor -r**3 - r + a*r + 0*r.\nAnswer: -r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -8*b. Let c(a) be the third derivative of -11*a**5\/60 - 181*a**2. Determine c(j(x)).\nAnswer: -704*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3841921080.\nAnswer: 2, 3, 5, 139, 76777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 20*n - 19 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-15)*(-2 - -2). Suppose 4*h = 5*n - m + 10, n + 5*h - 27 = 0. Suppose 8*v - n*v - 4134 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -316, -1214, -2698, -4768?\n\"Answer: -293*l**2 - 19*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 890.73 + -891. Let f = -33.77 - -34. Let w = f - k. Which is the closest to 0? (a) -3\/5 (b) w (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10091?\nAnswer: 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 2560245705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3563750.\nAnswer: 2, 5, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259 = -326*r + 289*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 2:15 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000133837 to six dps.\nAnswer: 0.000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvpkmkgg. Give prob of sequence pvm.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1012*d = -1017*d + 35 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m = -39 - 26 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -5*f + 14. Let z(s) = -2*s + 2. Let w be z(4). List the prime factors of -1*(-2)\/(f\/w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/(-189)*(-18)\/42?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3435 + 2731 = -352*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0308 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**3 - 30*k**2 + 64*k**2 + 987*k - 34*k**2 - 958*k.\nAnswer: -8*k**3 + 29*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41.63 - 101.8. Let u = f + 57. What is u rounded to one dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + -3*sqrt(2736) + sqrt(2736) + 4)**2 - ((sqrt(2299)*3)**2 + 3).\nAnswer: -17942 - 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54722*u - 1 - 55998*u + 1 to t*u + w and give t.\nAnswer: -1276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5999, -0.5, -12\/7 in ascending order.\nAnswer: -12\/7, -0.5, 5999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 28356545?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*w - n, 2*w + 3*n + 3 = -1. Let x(u) = u + 4. Let d be x(-6). Let y(c) = -c - 1. Let h be y(d). Calculate the greatest common divisor of w and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((63\/(-7))\/(-45))\/(-4*(-1)\/(-8)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(10 + -8)\/((1 + -5)\/(-4)). Put -131, d, -1, 2, -5 in increasing order.\nAnswer: -131, -5, -1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2441 (base 6) to base 13\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 7*h - 18. Let a be u(-9). Which is bigger: -0.235 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 - 2*f**4 + 2*f**4 + (3 - 2 - 3)*(5*f**4 + 3*f**3 - 3*f**3).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q - 11. Suppose 3*x - 36 = -4*z + 2*x, -4*z + 12 = -5*x. What is the units digit of n(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 93.40738 to the nearest integer.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*x**4 - 64*x**3 + 623*x wrt x?\nAnswer: -36*x**2 - 384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2\/21, 2.2, -2, 4, 213, -8\/17?\nAnswer: 213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7543 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 2:20 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 60575665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 384 and 104320?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/17 in 0, -3, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -31*m + 125. What are the prime factors of x(-31)?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 + -64.7. Let w = -5 + 6. What is the nearest to w in -0.5, 0.02, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 16*s + 3. Let z be h(6). Let f = 190 + -181. Calculate the greatest common divisor of z and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 18, 3, -13\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65.43 - -65. Let f = 0.07 - t. Let h = 3 + -4. Which is the nearest to h? (a) -5 (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354*u - 356*u = 0. Suppose -15*n - 5*n = u. Solve n*h - h + 2 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20524447 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 58, 47, 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/5, 0.8, 45?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -25*i**2 - 5. Let n(m) = -12*m**2 - 2. Let g(o) = 5*n(o) - 2*r(o). Calculate g(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10143942 rounded to the nearest one hundred thousand?\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303*k + 3343 = 1563*k - 1697. Suppose 3*a - 19 = 17. Let z(y) = -y**3 - 1. Let n be z(-1). Solve n*l + 4*l = 5*g - 17, k*l = -a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - 5*(sqrt(78) + (sqrt(78) - (-2*sqrt(78) + sqrt(78)))))\/(sqrt(18)\/(sqrt(3)*1)).\nAnswer: -14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 12:14 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00702355079 to 5 dps.\nAnswer: 0.00702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 14*z - 19. Suppose 2*g - 22 - 16 = 0. List the prime factors of m(g).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1178544.16 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -4\/9, 29, 1.7?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 15*x + 18. Let g be m(-16). Solve 2*n - 4 = g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-2)\/8) - 2. Let f = r + 10. Suppose 0 = 3*c + f*z - 40, 3*c + z = 2*z + 20. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 8855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a decade in months?\nAnswer: 1470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 5*s**4\/12 - s**2 - 10*s + 16. Let l(z) be the first derivative of j(z). What is the remainder when l(-3) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = k + 5*i, 8 = -72*i + 76*i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0142065824 to 4 decimal places.\nAnswer: -0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9026660519 to the power of 1\/2, to the nearest integer?\nAnswer: 95009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2136478 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -19, -3, -6, 1, 5 in descending order.\nAnswer: 29, 5, 1, -3, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 8*p - 5. Suppose -3*k - 21 = 2*z, -4*z - 2*k = -3*k + 21. Let s(i) = -13*i + 9. Let r(l) = -l. Let d(g) = 2*r(g) + s(g). Give z*d(x) - 11*t(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 15 = 6*q. Suppose -g = -6 + 19. Let i be ((-1)\/(-9))\/(g\/13). What is the nearest to i in 2, q, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -236, -508, -958, -1628, -2560, -3796?\nAnswer: -5378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*14\/(-35) - 2. Solve -5*h + 2*u = 27, f*u + 22 = -5*h - 3*u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.69 - 23.69. What is the third biggest value in v, -217\/3, 4?\nAnswer: -217\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 8:13 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1\/2 (c) 11 (d) 5 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29819 - 29819 - 3596*w + 93*w.\nAnswer: -3503*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 325 = 4*x - 8*x, 0 = 5*x + 3*t - 386. What is the remainder when x is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by (145\/10*-2)\/(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 2. Let k be q(3). Let d = k + 3. Suppose -d*c - 4*g + 144 = 0, 23 + 80 = 3*c + 2*g. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -157*s**2 + 4. Let l(x) = 1228*x**2 - 2406*x**2 + 1181*x**2. Calculate c(l(w)).\nAnswer: -1413*w**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 27 = -19. Let f = z + 52. Suppose 91 = 2*w + f. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -46*s + 30 - 17*s - 12*s + 73*s. What is c(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/170 + (-1044)\/1530.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.09164 - 0.00516. Which is smaller: 0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -10*s**2 + 12*s - 14. Suppose -3*a + 3 = -9. Let n(i) = 81*i + 11*i**2 + a - 93*i + 11. Let j(k) = 6*n(k) + 7*o(k). Factor j(d).\nAnswer: -4*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 4*h**2 - 2*h - 2. Give w(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 268475676 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12) + 13\/(-78).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 5829288?\nAnswer: 5829283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 632934*n**2 + 6197068*n.\nAnswer: 1265868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3239, 3247, 3255, 3263, 3271, 3279?\n\"Answer: 8*a + 3231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y**2 - 2 + 2 - 4*y**2 = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163134739 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + (-13476)\/(-300) - (-2 + 0 + -1)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - f - 2. Let g(p) = -3*p**2 + 7*p - 13. Let o(u) = g(u) - 2*i(u). What is o(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 + -9. Let z(v) = 6*v - 76. Let s be z(13). Let c = t - s. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1) + (1 + 1 - (2 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n + 24. Let x be u(-7). Let g = x + 9. Suppose a - 11 + g = -2*f, 4*a = 2*f - 16. Put 5, -3, f in decreasing order.\nAnswer: 5, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12992*q**3 + 35439*q**3 + 17619*q**3.\nAnswer: 40066*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3113 (base 4) in base 13?\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13122*t + 17843*t + 14572*t - 2054*t.\nAnswer: 43483*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -801 divided by 17\nAnswer: -801\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, f: 3, k: 5, e: 1, o: 1}. Give prob of picking 2 f, 1 y, and 1 k.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 + 2*f**3 + 372*f**2 - 14*f**2 - 180*f**2.\nAnswer: 2*f**3 + 178*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 6*l**2 + (-2*l - 6 + 1 + 9)*(-14 + 20 + 3*l - 17).\nAnswer: -12*l**2 + 34*l - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*w**2 - 1149*w**3 - 10*w**2 - 900*w**3 - 11*w**2 + 2031*w**3.\nAnswer: -18*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6210.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 78572869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/20 + (-1)\/2. Put 2, o, 1 in decreasing order.\nAnswer: 2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w - 3422 = 5482. Let s = w + 606. Does 51 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.035 (c) 9555\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2)*0\/(-17). Let g be 8 + b + -1*2. Let u = 10 + -6. Solve u = -2*d + g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 50 + 14 = 0. Suppose 4*t = r*p + 8, -5*p + p = -t - 4. Let y(u) = 43 - 3*u**p - 43. What is y(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48253 is divided by 5959.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -5 + -9 - (-28 - (-17 + 1) - 21)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3*v + 159*h**3 + 1209*h**2*v**2 with respect to v.\nAnswer: -h**3 + 2418*h**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -202131234?\nAnswer: 202131224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Let n = -2 - -3.5. Let c = 0.5 - n. Is c > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - -4. Solve 2*g + 3*g + w = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-20))**15)**(-15\/2) assuming n is positive.\nAnswer: n**2250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25)\/(-4) + 3\/4. Suppose -2*l - 420 = -b*l. Let t = l + -53. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 1\/3, -0.06, -61.\nAnswer: -61, -7, -0.06, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.8382942 - -0.0514818. Let q = x - 3.89. Round q to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664 a factor of 10145046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(2\/3)*i)*i*i**(-37))**(-41) assuming i is positive.\nAnswer: i**(4510\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -665 (base 7) in base 13?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12067.0870064 + -12067. Let n = -0.087 + t. What is n rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-6))\/((-1)\/62). Suppose 0 = -3*a + 5*n - v, 0 + 15 = -5*a + n. Find the common denominator of (a + -1)*381\/162 and 47\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 q, and 1 t when three letters picked without replacement from qtti?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5776*w + 580. List the prime factors of u(-10).\nAnswer: 2, 5, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 8\/9, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -2\/5*d**5 + 0*d**2 - 1\/3*d**4 + 8*d + 0 + 2\/3*d**3. Solve k(g) = 0 for g.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 41?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**2 - 11*m**2 + 4*m**2.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -22.906. Let l = 46.094 + m. Let c = 45.999852 - l. Round c to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-38)\/57)\/(1\/3). Let n be -3 + (3 - 0) + w\/(-1). Solve b = -n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 557 = 152. Let m be o\/10*(-44)\/3. Let k(h) = 4*h - 30. Let y be k(13). Calculate the greatest common factor of y and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -213 (b) 3 (c) 2652\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 825490261?\nAnswer: 2633, 313517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 - 52. Find the third derivative of -7*w - f*w - 7*w**5 + 14*w**2 + 16*w wrt w.\nAnswer: -420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + o**2 + o - 3. Let z be c(0). Is (-6)\/(-4)*(-22)\/z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12832, -12801, -12770, -12739?\nAnswer: -12708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**0)*t)**(-4)*((t\/(t**(3\/4)\/t)*t)\/t)\/t**(-5) assuming t is positive.\nAnswer: t**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 26 = 4*t, -5*u = -5*t - 6 - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -45. What is the greatest common divisor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/8 and -51\/5775328?\nAnswer: 5775328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 23*u**4\/24 + 258*u**2 - 2*u - 21. Let x(f) = 2*f + 3. Let i(b) = -b - 1. Let m(w) = 3*i(w) + x(w). Determine z(m(k)).\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in 4, 0.2, -29, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -180.55 - -1.55. Let c = 178.9999873 + s. Round c to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -71 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 350381 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6363 - r + 6957 + 8*r - 13320 + r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69889*n - 69624*n + 19875 for n.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 367 divide 12131552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 6 = c, 34*z - 37*z = -105*c + 207 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 6 + 23*f**2 - 15*f**2 in the form h + t*f + a*f**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lllllillllliilll.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 5:24 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 4 (c) -0.15 (d) -2935\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(17) + 4 - sqrt(17) - sqrt(119)\/(sqrt(63)\/sqrt(9) + sqrt(7)).\nAnswer: -9*sqrt(17)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 16 = -2*n, -1831*n + 4*z - 29 = -1834*n. Sort -2, 0.2, n, -5.\nAnswer: -5, -2, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 1\/24*c**4 - 4*c + 1\/8*c**2 - 1\/8*c**3 + 1\/168*c**7 - 1\/40*c**6 + 1\/40*c**5 + 0. Determine d so that q(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35053841?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 15*v**2 + 4*v - 7. Let h(z) = -5*z**2. Determine t(h(o)).\nAnswer: 375*o**4 - 20*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3200, -4307, -6164, -8771, -12128?\n\"Answer: -375*m**2 + 18*m - 2843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/7342 and -31\/22026?\nAnswer: 22026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/12)\/(3\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnp when three letters picked without replacement from {n: 1, p: 2, c: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.427 greater than -1303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -7.91. Let x = a - -0.91. Let k(v) = -v**2 + 6*v + 1. Let g be k(6). Do g and x have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.6849ml in litres?\nAnswer: 0.0166849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {h: 7, x: 1, k: 1}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**6\/24 - 5*i**5\/12 - 5*i**4\/4 + 38*i**2. Let t(j) = 0. Calculate j.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 44*o - 90. Let u be v(-25). Solve -5*m + u = 75 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 9. Let n = 21 - p. Let s(m) = 2*m**2 - 5*m + 3. Calculate the lowest common multiple of n and s(3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**2 - 12*p**2 + 2*p**2 + 7*p**2. Let h(w) = -2*w**2. What is b(h(l))?\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11401947 and 1321390?\nAnswer: 10080557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 3*z = -6*z + 6, -3*x - z + 8 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*t = -126. Solve 4*w = -4*x - 40, -w - 12 = 5*x + t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - j - 2)*(2*j**2 - 4*j**2 + j**2) - 10*j**2 + 10*j**2 + 3*j**3 + 3*j**3 + 2*j**3 + 0*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1898 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 10:50 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*d**3*k*x + 27*d**3*x**3 + 9*d**3*x**2 + d**2*k*x**3 + 2 wrt k?\nAnswer: -9*d**3*x + d**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 12:33 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -2\/3 (c) -73 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 7*y**2 + 6*y - 4. Give a(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.906213 and 1220.2?\nAnswer: 1216.293787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-23))**37\/(t*t*t*t**(-2\/5)*t*t*t*(t\/(t**1*t*t))\/t*t**(-48)) assuming t is positive.\nAnswer: t**(-4028\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 956091250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*j + 33*j - 17*j**3 - 102*j + 43*j.\nAnswer: -17*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + 60?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12, 18, 20, 18, 12?\n\"Answer: -2*r**2 + 12*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153108?\nAnswer: 2, 3, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*c - 7*c + 21 - 4*c + 14*c + 56 wrt c?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v - 45 = 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 241, 1\/8, -2, 1, 3, 2\/3 in ascending order.\nAnswer: -2, 1\/8, 2\/3, 1, 3, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -956 - -1073. Calculate the greatest common factor of 18 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q - 19*q + 126*q)*(0 + 2 - 3) - 23*q - 23*q - 2*q as r*q + w and give r.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -254243980*f**3*q + f**2*q + 50*f*q - 273*f + 510*q wrt f?\nAnswer: -1525463880*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 8*t. What is the remainder when 59 is divided by n(10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**21)**(4\/27) assuming c is positive.\nAnswer: c**(88\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5007540169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 18 = -7*j. Let a(m) = -m + 5. Let t be a(5). Let q be (-2 - t)\/(6\/(-21)). Is q at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.13 + 1.13. Let k = -7439 - -7441. What is the closest to k in -3, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**3 + 39948*y**2 + 79944*y - 319648 = 0.\nAnswer: -4, 2, 9989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1043, 8489, 28737, 68189, 133247, 230313, 365789?\nAnswer: 546077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*b + b**3 - 31*b + 103*b to the form s*b + u*b**2 + r*b**3 + w and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2\/5*g**2 - 4\/15 - 2\/15*g = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6))\/(2\/(-6)). Suppose -v + 7 = 9. Is v greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**5 - 3467*d**4 - 113*d**2 + 370.\nAnswer: -120*d**2 - 83208*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 6*p**2 + 4. Let j be z(6). Suppose -18 = -j*f + 10. Calculate the remainder when 24 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -0.2 (b) 0.7 (c) -1 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18569, 37233, 55897, 74561, 93225?\nAnswer: 111889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s**3 - 2*s**2 + 1. Let j be d(-1). Suppose 3*c + 5*c = 0. Solve c = -h - j - 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 46256560?\nAnswer: 416309040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7914791 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -2)*4\/2. Let v(c) = c**2 - c. Let a(r) = -6*r**2. Let t(k) = m*a(k) + 6*v(k). What is the second derivative of t(q) wrt q?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1077 + 4953 = 57*i. Calculate the greatest common divisor of 5304 and i.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + 35. Does 25 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*j = 438*j - 234*j - 825 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 5*m**3\/3 + 25*m**2 + 80*m + 66. Suppose u(q) = 0. What is q?\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*r - 4, 3*r - 7 + 1 = 0. Let f(p) = p**2 + p - 2. Let c be f(-3). Suppose 2*o - 5*g = -o + 5, 18 = l*o + c*g. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + a41c?\nAnswer: a417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -17*k**2 - 8*k + 32. Let x(p) = 83*p**2 + 38*p - 160. Let i(r) = -2*x(r) - 11*y(r). Is i(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 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: Let i(k) = k**2 + 27. Let w(m) = 6. Let j(o) = 2*i(o) - 9*w(o). Let n(u) = -148*u**2. What is j(n(l))?\nAnswer: 43808*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**2*a)\/a**4)**(1\/28)\/(a**6\/(a**(-1)\/a))**(-4) assuming a is positive.\nAnswer: a**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 - 17*g + 29. Let y(n) = -11*n**2 + 24*n - 22. Let b(t) = 24*t**2 - 51*t + 46. Let w(x) = 6*b(x) + 13*y(x). Calculate 6*d(s) + 17*w(s).\nAnswer: -s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141567?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -373248 - -752989. Let d = a + -141841. Round d to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-1 + -2)) + 48 + 20 + -19.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 12*p. Let d(u) = -23*u + 22. Give i(d(n)).\nAnswer: -276*n + 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.87 - -1.83. Let a = -18.72 + w. What is the third smallest value in -2, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 121*a**3 - a - 12. Let w(h) = h**3 - 3. Calculate -l(b) + 2*w(b).\nAnswer: -119*b**3 + b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38936, 311607, 1051702, 2492933, 4869012?\nAnswer: 8413651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + (-221 - -203) + 13\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -38, 1, 9, 5 in descending order.\nAnswer: 9, 5, 1, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 + (-87 - -39).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-7)*(-39)\/(-15 - -2)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.3649g in nanograms?\nAnswer: 68364900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11253?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -6, -2*p - 4504 = -5*j - 4483 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 350020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*f = 224*f. What is the biggest value in 1, f, -2\/15, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**5\/10 - 5*d**4\/12 - d**3\/6 - 3*d**2\/2 - 2*d. Let r be h(4). Let a = 58 - r. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 129 = -3*c, -4*c + 3 = -1. Suppose 30 = 47*y - p*y. Suppose -8*n - 10 = -y*n. Solve 7 + 8 = n*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.66 plus -5?\nAnswer: -47.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 7. Does 17 divide 27 + l\/(-6)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000923 rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-33)*44\/8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 5\/6, 62, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -425, -1603, -3575, -6347, -9925, -14315?\nAnswer: -19523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -479, -4\/3, -3\/5.\nAnswer: -479, -4\/3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((0 + (0 + sqrt(405) - sqrt(405) - sqrt(405)))*1*-6)**2.\nAnswer: 14585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 931, 1 in descending order.\nAnswer: 931, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130\/156*6\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53444, 52359, 51274, 50189, 49104?\nAnswer: 48019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 494 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -14e?\nAnswer: 14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3768735.\nAnswer: 3, 5, 43, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*f + 736, 3*y = -2*f + 771 - 7. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*m - 72 + 0*m**2 + 160 + 2*m**2 - 109*m + 0*m**2.\nAnswer: 2*(m - 44)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*c**4 - 10*c**4 + 2*c + 77 + 0*c**2 - 76 + 2*c**2 as d + h*c + i*c**2 + l*c**3 + t*c**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8656*i**3 + 228 wrt i?\nAnswer: 25968*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*g**4 - 2*g**3 + g**2 - 8996*g - 10399962?\nAnswer: -48*g**3 - 6*g**2 + 2*g - 8996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 20 = -5*p, -2*p + 1 = -4*b - 7. Let z be 2 + (4 - b)\/(-4)*-1. Factor -238 + 238 + z*u**2 + 3*u**3.\nAnswer: 3*u**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4735932 and 9658.\nAnswer: 52095252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 28*z**2 - 65*z + 11. Calculate the remainder when m(6) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*z = -47*z - 90 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 + 7*b**2 + b**2 - 9*b**2 + 341 + (-3*b - b + 6*b)*(-3 + b + 3) - 4*b**2 - 2*b**2 + b**2.\nAnswer: -b**2 + 341","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 + 2 = -5*d, -4*k - 8 = 3*d. What is the common denominator of -8*4\/(-16) - 27\/k and 103\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -15943.\nAnswer: -15943.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 0*b**3 + 13 + 11\/20*b**5 - 2\/15*b**6 - 1\/2*b**4 - 3*b - 1\/42*b**7 + 0*b**2. Find s such that d(s) = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**6\/120 + f**5\/10 + f**4\/12 + f**3\/3 + 2*f**2. Determine w(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126987 is divided by 31057.\nAnswer: 2759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -313 - -328. What is the greatest common factor of g and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 179\/924 - 4\/22. Let w(c) be the second derivative of 2*c + 0*c**2 + z*c**7 - 1\/24*c**4 + 3\/40*c**5 + 0*c**3 + 0 - 1\/20*c**6. Factor w(d).\nAnswer: d**2*(d - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 384, 393, 408, 429, 456, 489?\n\"Answer: 3*m**2 + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -673*w + 678*w = 30. Suppose 8 = 2*c - 8. Calculate the smallest common multiple of w and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6*o\/(o\/((o*o**(-1\/2)*o)\/o)))**(1\/85) assuming o is positive.\nAnswer: o**(13\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 7*f**4\/12 - 3*f**2 + 5*f. What is the first derivative of o(d) wrt d?\nAnswer: 14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 5*z + 2*w, -6*w + 7*w + 2 = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -714, -2390, -4066, -5742, -7418, -9094?\nAnswer: -10770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4879 + -4880. Let i = 2 + -2.1. Which is the second smallest value? (a) r (b) 0.4 (c) 1 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from qqn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14317 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 94 - -1*(0 + 2). Let q = g + -102. Which is the second smallest value? (a) 4 (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 10*o - 8. Let u be z(-6). Let q(f) = f**2 - 5*f - 1. What is q(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2552 rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42261 + -21368. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by -14056777?\nAnswer: 27\/14056777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*q**3 + 9*q**3 - 43*q**3 + 90*q**3.\nAnswer: 121*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y + 7. Let s be d(-7). Let q(o) = -22*o. Let u(z) be the first derivative of 3*z**2\/2 - 39. What is s*u(a) + 3*q(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 1\/2 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -730804 <= -731029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 34 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 4*g**2 - 7 + 2*g**2.\nAnswer: -2*g**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5659.89 - 5660. What is the fourth biggest value in d, 8, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4766 and -4766 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262 + 260 + -1 + 1 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2*v - 7*m**2 + 8454*m + 254621*v wrt m.\nAnswer: -2*m*v - 14*m + 8454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 151*w**4\/24 + 14*w**3 + 122*w**2. What is the first derivative of r(t) wrt t?\nAnswer: 151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 j when four letters picked without replacement from {c: 3, j: 3, e: 2}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -120531.89 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = -2*i + 72, -207*i + 6 = -206*i - 5*j + 4*j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 8, b: 4, e: 2, u: 3}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -481*f*w - 72*w + 8 with respect to f.\nAnswer: -481*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -5*c - 2, 10781*o = -c + 10776*o + 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17375874 - -11817655. Suppose -s - 4*r = 2*s + 36774637, 24516453 = -2*s + 3*r. Let x = s - h. Round x to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 + 2*i + 8. Let w be c(-7). Suppose 2*j - w = 6*j - 4*m, -4*j = -m + 104. Let l be (-6)\/j*6\/4. Is l at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*x - 6 = 0, 0 = -50*k + 51*k + 2*x - 11. Solve t + l = -3*t + k, 5*l + 25 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 0*y + 0*y + (y - 2*y + 2*y)*(6 - 6 - 6) + 0*y - y - y + (-1 + 1 + 3)*(-5 + 3 + 4)*(-7*y + 4*y - 2*y).\nAnswer: -37*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 2*r**3\/3 + 3*r. Let u(t) = t**2 + 5*t**2 - 4*t**2. Give p(u(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = -d + 1, 2*u = 4*d - 14. Let v be 1 + 9\/d*41. Suppose -56 = -c + v. Round c to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2 + 3*l + 6. Let b(s) = -s**2 + s. Let r(v) = b(v) - m(v). Let g(f) = f**2 + 1. Let x(t) = 6*g(t) + r(t). Let x(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -954 + 478. Let x = 391.7 + g. Round x to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379111 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f = -13678 + 13966 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14354 + 280\/((-220)\/(-11)).\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 154000\/2024 - 2\/23?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -351, -324, -277, -210, -123?\n\"Answer: 10*u**2 - 3*u - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3 - 32253*v**2 - 254710440*v + 86774060700 = 0.\nAnswer: -16290, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/44, 5, -4, 0.3, -2081430 in decreasing order.\nAnswer: 5, 0.3, -1\/44, -4, -2081430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from {o: 1, z: 1, m: 1, f: 2, n: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 101*h**4 + h**3 + 4*h**2 - 2*h + 55*h**4 + 53*h**4 to u*h + d*h**4 + w*h**2 + t + b*h**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = r + 2*r + 115, 2*r - 3*j + 75 = 0. Let l = r + 34. Suppose -14 = -z + f - 5, 0 = -4*z + 3*f + 33. What is the remainder when z is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1445*i**2 - 1449*i**2 - 16*i**5 - 3*i**4 + 18*i**5 + 2*i**5 - 2*i**5 + i**5 + (2*i + 0*i - 3*i)*(2*i**4 + 0*i**2 + 0*i**2) - 5*i**5 - 2*i**4 + 2*i**4.\nAnswer: -4*i**5 - 3*i**4 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**11*m\/m**1 assuming m is positive.\nAnswer: m**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3368750 is divided by 8339.\nAnswer: 8133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00601712186 to seven decimal places.\nAnswer: -0.0060171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3 + 13*k + 17*k + 13*k + 1 - 40*k + 3*k**2 = 0. What is k?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8071492.284 to the nearest 1000.\nAnswer: -8071000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -2*t - 4, -39*n = -38*n + t - 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -169, -666, -1495, -2656?\n\"Answer: -166*c**2 + c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/2 + -8)*(-1)\/(-4). Let y(w) be the first derivative of 4 + d*w**2 + 0*w. Let m(h) = 11*h. Give y(m(s)).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.959 + -0.041. Let m = j - -14.8. What is the third smallest value in m, 1\/2, 4\/5, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 554561*a - 2772811. Calculate c(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -3. Let x be (-8)\/5*r\/2. What is the units digit of (-1 + 10)*(x + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 753198 and 627665.\nAnswer: 3765990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (10 + -4 - -19).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 141, -0.15, 30, -5?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*b, -5*i + 36 = 2*b + 1. Suppose 0 = -m + 2*s + 2, 4*m + 0*m + i*s = 21. Solve -m*a + 0*a = -r + 24, -2*r = -8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 251 or 1258\/5?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + 30. Suppose -3*g = -2*g + 5*p - 27, p + 5 = 5*g. Suppose -g*s = -7*s + a. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 12151.25\nAnswer: 12151.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-5))\/((-21)\/70). Suppose -2*p + u = 2*j - 64, 0 = -p + j + 38. What is the highest common divisor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 262 = -234. Does 26 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*m + 14*z - 15*z, -8 = 5*m - 4*z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -2\/13, -0.1, 11790.91 in decreasing order.\nAnswer: 11790.91, 2\/9, -0.1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**3 - 2*t**2 + 2*t - 1. Let g be s(1). Suppose f - g = 3. Let w be (-1 + 1)\/(f - 3). Let h(u) = u**3 - u**2 - u + 4. Calculate h(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 50*j**4\/7 - 40*j**3\/7 + 9*j**2\/7 - 345. Factor y(a).\nAnswer: 2*a*(10*a - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 - 220*f + 454720. Calculate a(425).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 2*s + 0*s)*(-4*s + 7*s + 2*s + 1 - 1 + s + 0*s - 3*s + s + (-2*s - 3*s + 4*s)*(2 + 0 - 3) + s + 2*s - s).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-9))\/(((-700)\/315)\/20))\/((-10)\/(-22))?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f. Let y(z) = -10*z - 4. Let k(d) = 10*d + 5. Let i(v) = -4*k(v) - 5*y(v). What is i(a(o))?\nAnswer: 40*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36594.\nAnswer: 2, 3, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 420\/(-28)*(-1)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 8:53 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2587086 - 5531189771\/2138. Calculate the common denominator of u and 3\/20.\nAnswer: 21380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4946568.54 to the nearest one hundred.\nAnswer: -4946600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -22. Suppose j + 3*n - p = 0, 0*j + 4*n = -2*j + 14. Find o such that -o**2 + 3 + 4*o - 2*o - 3*o - j = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -84. Factor s + 39*g**4 - 43*g**4 - 132*g**2 - 160*g - 102 - 25*g**3 - 15*g**3.\nAnswer: -4*(g + 1)**2*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g + 3. Let q(f) = -f**3 + 9*f**2 - 14*f + 3. Let c be q(7). Suppose 5*j + l = 15, -7*j + 3*j + 31 = -c*l. What is o(j)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -1. Calculate the smallest common multiple of (-12 + 5)*(-4)\/(-12)*-3 and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**4\/8 - 10*n**3\/3 - 53*n**2. Let p be i(6). Suppose 5*g - 2 = -27. Sort 7, g, p in descending order.\nAnswer: 7, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 9*u - 4*u. Solve 0 = 5*k + 5, -10 = u*v + 4*k + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h + 247. Let t(a) = a - 1. What is m(p) - 5*t(p)?\nAnswer: 2*p + 252","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, p: 3, q: 1, j: 5}. Give prob of sequence pqaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1d48 (base 16) to base 7\nAnswer: -30566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 != -3709\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.058, -13824, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 70 = -5*t, -4*t + 16 = 4*z - 2*z. Differentiate 28 + 9*q**2 - q**2 - 17*q**2 - z*q**2 with respect to q.\nAnswer: -42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -736398, -1472781, -2209164, -2945547, -3681930, -4418313?\n\"Answer: -736383*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -5) + (-8 - -9). What is the least common multiple of (n - -8)*2 + 2 and 75?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - j. Let r(n) = -n**3 + 2*n**2 + 671*n - 2. Determine -2*q(u) - r(u).\nAnswer: u**3 - 669*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2*-1)\/((-7)\/(-14)). Suppose -m - m - 2 = 0. Is m bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 1 - (-12 + 53 + -36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3 - 1029*l**2 + 54576*l - 675648 = 0. What is l?\nAnswer: -391, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**2 - 179*w + 203. Determine p(-37).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 100 = -68 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 144?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2*u*z**2 - 1047*m**2*u - 17*m**2 + 580*m*u*z**2 + 6*z wrt z.\nAnswer: 4*m**2*u*z + 1160*m*u*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301519 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -12, -24, -40?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13008 by 271.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000028402 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2938)\/(-10) - 6\/(-30) - 0. Let s = q - 165. What are the prime factors of s?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sdss?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkjkgkkajkpk. Give prob of sequence kp.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1.6842114 hours?\nAnswer: 0.070175475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1374 + 582. Let z be (4 - (-33)\/(-6))\/(2\/j). Let k be (-1232)\/z + 2*1. Is -0.1 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, -9, 0.09, 0.7, 0.5, -4 in decreasing order.\nAnswer: 1.2, 0.7, 0.5, 0.09, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 0 - -1)*1. Suppose -3*y = v - z, 3*y = y + 4*v - 4. Let t be ((-4)\/(-6))\/(2\/21). Solve -2*x + t*x - 15 = y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62204355 - -3?\nAnswer: -62204352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*r**2 + 18\/7*r + 0 - 3\/7*r**3.\nAnswer: -3*r*(r - 2)*(r + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63674855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4247478739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1791 (base 13) to base 11\nAnswer: 26a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.6, 245425, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -9 - (-14)\/2. Suppose -6 = -2*v - 4, -5*j + b*v + 763 = 0. What is the greatest common factor of 18 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -16*a**2 - 4*a. Let b(t) = 48*t**2 + 14*t + 1. Calculate 4*b(q) + 14*i(q).\nAnswer: -32*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -39894751654.564 plus -0.4?\nAnswer: -39894751654.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n**2 + 8*n - 194. Let m(h) = -13*h**2 - 11*h + 290. What is 5*m(c) + 7*t(c)?\nAnswer: -2*c**2 + c + 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 184 - 816. Let f = 4809292304 - 4809291671.9999266. Let b = c + f. What is b rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(1100) + -5 + 4 + -1)**2*1.\nAnswer: -40*sqrt(11) + 4401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**5 + 27*g**4 + 195*g**3 - 495*g**2 - 192*g + 468 = 0.\nAnswer: -6, -1, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/130338 and 167\/5213520?\nAnswer: 5213520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8)\/(((-2)\/(-2))\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 34*v - 7. Determine w(8).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5365 is divided by 2679.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.5 + -59.5. Let o = n + 67.9. Let y = -68 + 339\/5. Which is the second biggest value? (a) y (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 47.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from fefrrkhzrkkrkrr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*s + 10 = -p, -2*s - 11 = 3*p. Let l = p + 8. Suppose l = 3*i - 1. Solve 2*y - y - i = x, 2*y + 5*x = -24 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 988894 is divided by 124.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 14 = -d, -3*o = -d - 2*o - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v. Let n(z) = -17*z**2 + 9*z - 9. Let o(f) = -4*f**2 + 2*f - 2. Let u(y) = -4*n(y) + 18*o(y). Give u(b(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j + 4*j + 6*j**5 + 7*j + j wrt j?\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzhhhhhhhhhhf. Give prob of sequence hh.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 335?\nAnswer: 3685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n. Let z = -33 - -30. Let g be 85\/15 + (-2)\/3. Let k = g + z. What is q(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4631 + 4635. Solve f*w = 5*n - 5, 3*w + 3 = 3*n + w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 8, -13\/3108?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a. Let y(l) = 85*l**2 - 144 + 294 - 150. Give y(o(s)).\nAnswer: 765*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d + 33*d = 6. Suppose 11*p - 612 = 8*p - 3*g, -2*p + 406 = d*g. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 92, 2.\nAnswer: -4, -3, 2, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4)*(19*q + 278 - 278) - 2*q + 16*q + 3*q + 2*q + q - q + 3*q - q + 0*q + 0*q + 2*q + 0*q + (q + 0*q - 2*q)*(0 - 1 + 0) to x + l*q and give l.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1286, 1303, 1320, 1337?\nAnswer: 1354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j**2 + 692*j - 2. Let u(l) = -30*l. Calculate h(u(n)).\nAnswer: 5400*n**2 - 20760*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49428\/20595)\/((-4)\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**11\/s)\/s**10)\/(s**(2\/7)*s**(-4\/13)))**1 assuming s is positive.\nAnswer: s**(2\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from faoooobaol.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 33872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 10*s**2 + 872*s - 12. Let i(w) = -4*w**2 - 373*w + 5. Give -19*i(o) - 8*k(o).\nAnswer: -4*o**2 + 111*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 744073 and 1420503?\nAnswer: 15625533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18956 + 78*i + 364*i + 18960)*(i - i + i**3) to the form r*i**2 + o*i + x + h*i**4 + a*i**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 2*x**2 - 11*x - 7. Let f be y(-5). Let v be ((-24)\/(-10))\/((-2)\/15). Let o = v - f. Calculate the remainder when 16 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 114 + 7\/3*j**3 - 1\/2*j**2 + 1\/4*j**4 - j. What is v(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 9130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**4 - 226*y**3 + 884*y**2 + 904*y - 3552 = 0?\nAnswer: -2, 2, 4, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12955342, 25910686, 38866034, 51821386, 64776742?\nAnswer: 77732102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5231562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*w = 8 - 29, -a = 3*w - 12. Suppose 5*g = -2*i + 12 - 5, 0 = -4*g - a*i. Solve -g = c + 2*m, 4*m - 7 + 1 = 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.929822ml to litres.\nAnswer: 0.000929822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 679*w**2 + 35949*w - 2021. Give c(-53).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 95226?\nAnswer: 17\/95226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, o: 1, v: 2, g: 1, c: 1, f: 1}. What is prob of sequence vgt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 0*u - 3*u)*(3 - 1 + 1)*(7*u**2 + 0*u**2 - 12*u**2)*(0*u**2 - 3*u**2 + u**2) - 3*u**5 - 4*u**5 + 6*u**5.\nAnswer: -151*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 7*x + 6. Let v(o) = 3*o + 16. Let f be v(6). Suppose -29*t = -f*t - 30. Give g(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*u**3 + 0*u + 0 - 4\/5*u**2.\nAnswer: 4*u**2*(2*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120269\/20 - 6015. Calculate the common denominator of z and (-541)\/(-126) + 8\/(-36).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172512 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93\/310*15\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93628 - -63868. Let q be (50\/(-6))\/((-2)\/d). Round q to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1437408 is divided by 718700.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 39 = 93. Suppose 4*z - 7 = -i, 0*i + 2*z = i + 5. Let n = 7 + i. Calculate the lowest common multiple of w and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28 - -3603a02?\nAnswer: 3603996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 251 + -3767\/15. Let i = 0.3952 + 0.1048. Which is the nearest to 1\/2? (a) r (b) i (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*3 - (-754)\/234?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/(-65)*1 - 4\/(-26).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 7*l**2 + 10*l + 22. Let q be z(-6). Let b(n) = -10*n - 3. Let t(m) = -32*m - 10. Let y(p) = q*t(p) + 7*b(p). Calculate y(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54\/5 + 2\/5*z**3 + 6*z + 22\/5*z**2.\nAnswer: 2*(z - 1)*(z + 3)*(z + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*s - 2 = 0, -3*o + 2*s + 8 = -4*o. Let g be (o - 0)*(-60000)\/9. What is g rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -521*v**6\/120 - 7*v**5\/60 + v**4\/4 + 506*v**2. What is the third derivative of o(h) wrt h?\nAnswer: -3126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**5\/10 - 5*m**4\/6 - 5*m**3\/6 - 22*m**2 - 5*m - 1. Give u(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -6. Let s = 46 + t. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50\/14 - 2*21\/(-98). Suppose 9*x - 8*x + r = 0, 5*p + 5*x - 2080 = 0. What is p rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -18916871.\nAnswer: -3783374.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*q - 111 = -57 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from {q: 1, o: 1, d: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + l - 2*l - 75 = 0, -5*g - 4*l = -420. What is the smallest common multiple of g and 2?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, i: 6, g: 6, c: 3}. Give prob of sequence pig.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40091 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19448 divided by 748?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2))**(1\/8))**49 assuming u is positive.\nAnswer: u**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 2335985938?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**3\/9 + 5599*x**2\/9 - 5596*x\/9 - 1244 = 0?\nAnswer: -1, 2, 5598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7654262 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + 27 + -9 + 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*f**2 + 4*f - 4*f - 2 - 19*f**2.\nAnswer: -43*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 at least 2467\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21098 and 1562?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -5, -16, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.5037021*6.\nAnswer: -33.0222126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -12. Suppose y*d = -d. Solve d = -p - f + 6*f + 21, 3*f = -2*p - 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1329031, -1329377, -1329723, -1330069, -1330415?\n\"Answer: -346*n - 1328685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -13031 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p + 20. Let q(j) = -j + 6. Let u(l) = -3*h(l) + 10*q(l). Let k(f) = f + 1. Let t(o) = 2*o + 1. Let n(c) = k(c) - t(c). What is u(n(x))?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 12*w**2 + 14*w + 18. Let r be z(-13). Suppose 10*y - 10 = r*y. Let f(l) = -l**3 - 2*l + 2*l + 1 - 4*l - y - 4*l**2. Calculate f(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -14 - 7. Let o = c - 0. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 8*w + 4*s - 516, 5*s = 20. Let q = w - -111. Solve 2*v = -5*x + v + q, 5*x - 5*v - 5 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 6) to base 15.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 3498.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nezneekeekekkee. What is prob of picking 1 z, 2 e, and 1 n?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.25 + -0.45. Let q = w - 5. Let u = 19.1 - 20. Which is the closest to q? (a) -3 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196371.122 + -3?\nAnswer: 1196368.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9667783 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5306, -12925, -20544?\nAnswer: -28163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7125702 to the nearest integer?\nAnswer: 2669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4110 + 7991. What are the prime factors of m?\nAnswer: 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 24 + 8 = 0. Suppose -60 = c*r + 4*l, 3*l = 6*l. Let u be 3\/(-5)*1*r. What is the highest common factor of u and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*h - 2*u, -2*u = h - 4*u - 9. Calculate the highest common divisor of h and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 107*y - 2. Let m(d) = -213*d + 4. Calculate 3*m(h) + 5*v(h).\nAnswer: -104*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1143, 6, 2, -7, 167 in decreasing order.\nAnswer: 1143, 167, 6, 2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = a + 6, -4*a + 24 = -2*r - 2*r. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 0.03, -2\/11, -6\/7, -2\/15, 2.9?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 174 + -189. Let r(m) = 4*m + 65. Let w be r(j). Calculate the greatest common divisor of w and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -230*d**5 + 6*d**2 + 20*d wrt d.\nAnswer: -13800*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/5797 and 119\/21956990?\nAnswer: 373268830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 5361 and -331912426.\nAnswer: -331907065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81474277.\nAnswer: 97, 571, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2354, -2763, -3444, -4397?\nAnswer: -5622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 17, v: 3}. What is prob of picking 1 v and 2 c?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -2*q**2 + 10*q - 1. Let a(g) be the first derivative of 3*g**2\/2 - 7*g + 1. Calculate -7*a(k) - 5*y(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 244, 4, 1, 6 in increasing order.\nAnswer: 1, 4, 6, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -565*i + 1136*i + 37*i**2 + 28*i**2 - 69*i**2 - 571*i.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28262.89ns to microseconds.\nAnswer: 28.26289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 5, 201, 0, -9 in decreasing order.\nAnswer: 201, 5, 3, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -11. Let c = 140 + -126. What is the second derivative of c*g**3 + 0*g - 11*g + g**3 - 4*g**f wrt g?\nAnswer: 66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2622703911 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/(-273) - (-2728)\/(-6045).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -1 + 4\/3*c**3 - 8*c**2 - 4*c + 4*c**4. Find p such that t(p) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3 + 53*f**2 + 4*f - 11*f - 52*f**2 + f. Let q be n(-4). Sort q, 0, 3.\nAnswer: 0, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 + 131. Suppose 5*b + p - 358 = -2*w, 3*w = -3*b + 183. Suppose -159 = -a - b. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2) - 1)\/((-209)\/(-114)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3825340253.\nAnswer: 7, 683, 800113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1109*n + 28 + 39 + 34 - 99 + 4*n**2 to the form a*n + d + h*n**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/4*(-42)\/49. Let q = -1 + m. Suppose -p = 5*r - 11, 3 = -r + 3*p + q. Solve 0 = 2*g - x + 8, -r*x - 2 + 12 = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 41.3.\nAnswer: 41.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 527 = -79. Let y(s) = -s + 4. Let f be y(-4). Calculate the greatest common divisor of f and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 325020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*a - 20 = 0, 4*m + a + a + 40 = 0. Let o be ((-20)\/m)\/((-30)\/(-24)). Solve 7 - o = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g. Let z be 7 + 3 - (5 + 0). Let w(p) = p**2 - z*p**2 - 3*p**2 - 8*p**2. Give f(w(r)).\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q**(-2\/41))\/q*q*q)*q)\/q**(-40))\/(q**(-45)*q*q*((q\/(q*q\/q**(1\/9)))\/q)\/q) assuming q is positive.\nAnswer: q**(31711\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 811826700 to the nearest one hundred thousand.\nAnswer: 811800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-50)\/(-250) + (168\/15)\/4. Which is the closest to -0.1? (a) 156 (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 207*r - 1 - 208*r + 2. Let m(t) = t - 3. Let p(o) = 3*o - 9. Let h(j) = 17*m(j) - 6*p(j). Give 4*g(k) - 2*h(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 8*n = 0. Suppose -5*m = m - n*m. Suppose -3*o - o + 464 = m. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*q + q. Suppose 4*p = q*p - 17. Let s = 33 + p. Solve -s = -4*r + 4*d, -5*d = -2*r + r + 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47085805.02375 - 8.\nAnswer: 47085797.02375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 1.6 (c) 1\/4 (d) 0 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z**2 + 2*z**2 + 3*z**2)*(-8 + 5 - 6)*(0 + z**2 + 0) as i + d*z**4 + v*z**2 + g*z + o*z**3 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14059936?\nAnswer: 2, 11, 59, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**7*v)\/v)**(8\/13))**(1\/19) assuming v is positive.\nAnswer: v**(56\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63008 and 660.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4912589 times 2.3?\nAnswer: -11298954.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/3)\/(f\/(f\/((f\/(f*((f*f**(2\/13)*f)\/f)\/f))\/f)))*(f*(f\/((f*f*f\/(f\/(f\/f**(2\/19)*f)))\/f))\/f)\/(f**(-1\/4)\/f) assuming f is positive.\nAnswer: f**(3485\/2964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 612\/180 + (-4)\/10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.15 + 0.052.\nAnswer: 2.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 146397.4 centuries in months?\nAnswer: 175676880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10175 is divided by 10140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.593 - -0.407. Which is greater: 601 or b?\nAnswer: 601","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*i**6 + 9*i**6 - 8*i**6 + 6*i**2 wrt i?\nAnswer: 1080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.4 - 0.4. Let j = 1354.72 + -1357.72. Let h = 349\/78 - -1\/39. Which is the closest to 1? (a) i (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246 divided by 6\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -2)*21\/(-1). Is 447\/q + (-6)\/21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 30\/7*f**3 + 66\/7*f**2 - 8*f**4 + 20\/7*f = 0. Calculate f.\nAnswer: -5\/4, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (210\/(-84))\/(2\/(-20)). Suppose -5*a = m - 25, -10 = 4*m - a - a. Suppose 2*w = u + d, 4*w + m*w = u + 49. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 420, 129 in decreasing order.\nAnswer: 420, 129, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67135608, -67135610, -67135612?\nAnswer: -67135614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4486, -4339, -4192, -4045?\nAnswer: -3898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -131\/4, -2\/5, 4 in ascending order.\nAnswer: -131\/4, -2\/5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - o**3 - 2*o - 2*o - o.\nAnswer: -o**3 - 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*o**2 - 3*o + 241?\nAnswer: -32*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3279, 7084, 11285, 15882, 20875, 26264?\nAnswer: 32049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 25*x**4\/12 + 2*x - 3097. Let m(a) be the first derivative of 2 + 0*a + 3\/2*a**2. What is m(n(i))?\nAnswer: 75*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -5548298\nAnswer: 1\/2774149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59752 and 3492.\nAnswer: 537768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) 0.66 (b) -1\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 963, 1003, 1043?\nAnswer: 1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-22 + 18 + -31).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (1 + (5 - (-4 + 6)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2835 = -8*t + 11813. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2945933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55357.\nAnswer: 197, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**3 - 4*z**2 + 5*z - 4. Let u(x) = -x**3 + x**2 - 2*x + 1. Calculate -h(c) - 4*u(c).\nAnswer: -c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(8\/6 - 2). Let l be 153\/68*(15\/9 - 1). Find p, given that -r*p**4 + 1\/2*p - 1\/2*p**3 + l*p**2 + 0 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/(-5 - 114\/(-18)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -6 (c) 12 (d) 8.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1257\/5, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2390 - -2420. What is the remainder when 312 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in 20, 1\/9, 0.5, -2, -66?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1103987 is divided by 197?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*n**2 - 172*n**2 + 539*n**2 - 167*n**2.\nAnswer: 26*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 30299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*m + 14*m + 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tts when three letters picked without replacement from mtotmtoofcotmsm.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-5 - -22)) + -13 + 21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -19\/28*m**8 + 0*m**6 + 0*m**3 + 0*m**5 + 56 + 0*m**7 + 0*m**2 + 49\/12*m**4 + m. Find the third derivative of l(x) wrt x.\nAnswer: -4560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 11 - 1 = 0. Suppose -i - 5*k = 24, -q*i + 3*k = i + 4. What is the units digit of -1 + (i - -8) - -18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, l: 14}. Give prob of picking 4 y.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 143907324 and 1188.\nAnswer: 1295165916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 26619. Let t(q) = -2*q. Give t(v(f)).\nAnswer: -2*f - 53238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -275096 + 0.12.\nAnswer: -275095.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 10*c**2 + 12*c - 4. Give u(-11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -31\/2*v**2 - 1\/6*v**3 - 2*v + 7. What is the first derivative of j(c) wrt c?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 682, 1343, 1984, 2599, 3182, 3727, 4228, 4679?\nAnswer: 5074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -u + d + 2, 4 = u - 4*d. Is u\/14 + (-675)\/(-35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, s: 14}. What is prob of picking 4 s?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n**2 - 2 - 43*n**3 - 2*n + 0 + 44*n**3 to c*n**3 + a + q*n + s*n**2 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 21 - u**2 + 17 + u - 47 + 12. What is n(-5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 852497*p - 852290*p + 15318 = 0 for p.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57.36 + -60. Let h = -0.36 + m. Which is the third biggest value? (a) h (b) -4 (c) -1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**6\/180 + 4*b**5\/15 + b**3\/3 - 35*b + 131. Let x(y) be the third derivative of v(y). Suppose x(j) = 0. What is j?\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010122 (base 3) in base 15?\nAnswer: -a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, -1\/6, 0.1, -3, -0.09 in increasing order.\nAnswer: -3, -1\/6, -0.09, 0, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -36519.5?\nAnswer: 109558.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1588434 + -3072.\nAnswer: 1585362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1820 (base 16) to base 7.\nAnswer: -24002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(240))\/(sqrt(12) - sqrt(48)\/sqrt(4)*-4).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 + 80. What is the biggest value in 5, 3, r, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00062483148 rounded to 7 decimal places?\nAnswer: -0.0006248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqxgxpxgpxygxpgxyyx. Give prob of picking 1 x and 1 q.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 589938, 1179496, 1769058, 2358624, 2948194, 3537768?\n\"Answer: 2*d**2 + 589552*d + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17.4 (b) -11506 (c) -0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -220 and -5.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7626, -8, -0.03 in ascending order.\nAnswer: -7626, -8, -2, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + (-5 - 0))\/(2\/(-4)). Suppose -3*j + y + 16 = 0, -5*j + y = -6 - u. Sort 1, 0, j in ascending order.\nAnswer: 0, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 934 = -0*z + 2*z. Let k = z - 677. What is k rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -31. Suppose 609 + 132 = 3*r + 3*k, -d*k + 986 = 4*r. Calculate the remainder when r is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 28*r**2 + 22*r - 144. Calculate p(-27).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2553, 10143, 22795, 40509?\nAnswer: 63285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (294\/96)\/((-40)\/32). Which is greater: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2473 and 0.02789351574?\nAnswer: 2472.97210648426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.109 + 4890152785.\nAnswer: 4890152784.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-40)\/(-6))\/(1\/(-3)))\/((164\/2)\/82).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 186084099 and 29474?\nAnswer: 372168198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2365*w + 2162*w + 20097 for w.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eejeejjjejej. What is prob of sequence jje?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -92568.15 rounded to the nearest 1000?\nAnswer: -93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3575696772?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -91.87.\nAnswer: 183.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 7788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w - 32*w + 2*m = 17583, 2*w + 5*m - 35164 = 0. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 31450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13010 - 11323301031?\nAnswer: -11323320101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48071.5647 less than -0.5?\nAnswer: -48072.0647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - ((176 - 40) + (-8 - 11))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 10*s - 44. Is x(8) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51134 - 15056 = 2*b + u, -u = -b + 18045. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 10*l = -18. Solve 3*a = -3*j + 4*a - 1, -j - 2*a = -l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 f, and 1 y when three letters picked without replacement from {y: 2, p: 3, q: 3, f: 7}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (2 + (-3 - 0\/1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23591 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4269.6 + -4270. Which is the second biggest value? (a) 0.2 (b) 0 (c) 0.75 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*m - 47*m + 30 = 0. Let u(c) = 8*c + 4. Let s(y) = 3*y + 1. Let q(j) = -11*s(j) + 4*u(j). Give q(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.4, -150, -0.3?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h**3 - 21*h**2 + 5*h + 6. Let a(w) = -20*w**3 + 45*w**2 - 10*w - 13. Let i(r) = 5*a(r) + 11*f(r). What is i(3)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 329*b**2 + 40*b - 2. What are the prime factors of a(-10)?\nAnswer: 2, 16249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - 17. Let d(q) = -3*q. Calculate d(c(k)).\nAnswer: -6*k**2 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m - 75 = 0. Let j = m + -61\/4. Let s = -53\/5 - -11. Which is the closest to -0.1? (a) -0.5 (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3345 - -33?\nAnswer: 3422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4153, 8309, 12467, 16627, 20789, 24953?\n\"Answer: o**2 + 4153*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.29 - -0.39. Put y, 1\/7, -1 in decreasing order.\nAnswer: 1\/7, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -10*p + 69. Let a be (-2332)\/(-385) - (-26)\/(-455). Give y(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5171 (b) -0.1 (c) -97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -3) + 0 + -1 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*r + 3 + 62*r + 3*r**2 + 68*r.\nAnswer: 3*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 7*j**2 - j + 7. Let o be i(7). Solve -2*c = -4*f - 25 + 9, o = 5*f + 4*c + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.52 - 2.4. Which is the biggest value? (a) 3 (b) p (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**2 + 8*k**2 - k**2)*(-2072 + 2072 - 414*k**2) in the form d*k**3 + s*k**4 + o*k**2 + l + i*k and give s.\nAnswer: -3312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4489832 = -20*n, -12*n + 13*n + 4*p - 224475 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -0.21, -47\/14, 2.3, -2\/3.\nAnswer: -47\/14, -2\/3, -0.21, 2\/13, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*h + 29*h + 41*h)*(-5 + 2 + 1)*(-6 + 0 + 3) as n + g*h and give g.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 6*s**3 + 0*s**3 - 2*s**3.\nAnswer: 2*s**3*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/15*(-80)\/(-24).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 868 - 884. Is u equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3. Let g be l(-1). Suppose 4*i - q - 8 = -4, 5*q = 20. Factor -3 + 2*b**3 + g*b**3 + 4*b + 6*b**i + 3 + 1 + b**4.\nAnswer: (b + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-4) + 99\/(-18) + 6. Solve 0 = 5*h - v*h + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268.4 less than 2696673.08?\nAnswer: 2696404.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 409332 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f**3\/7 + 804*f**2\/7 + 35814*f\/7 + 530160\/7 = 0. Calculate f.\nAnswer: -47, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3247955345 - 47\nAnswer: 3247955298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or -72\/6361?\nAnswer: -72\/6361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.3, 0, -2, 5, 20208.\nAnswer: -2, 0, 0.3, 1\/3, 5, 20208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 - -1*25\/5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 72 = 4*o, 0 = -0*y + 4*y + 12. Let f(p) = p**2 - 4*p + 6. Let d be f(6). Let k = o + d. Are 2 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026627853 rounded to 3 dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -20, -13, -6, 1, 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -414 - -441. Calculate the remainder when 72 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 7*q**2 - 3*q + 6. Let f be k(-6). Calculate the remainder when (-116)\/3*18\/f is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w + 3*w)*(-966310 + 966310 - 5841*w**3).\nAnswer: -11682*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1642?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 203*13.4\nAnswer: 2720.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.49 - -0.09. Let l be (-4)\/6 - (-10)\/18. Let u = -0.2 + 0.3. Which is the closest to -2\/5? (a) z (b) l (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550407778 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x + 0 + 2*x**3 + 1 + 6757*x**2 - 6754*x**2 - 4 in the form j*x**2 + t*x**3 + v*x + n and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 5*k - 4. Factor -3\/2*n - 1 - 1\/2*n**k.\nAnswer: -(n + 1)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/(-36)*4 - -7)*(29\/2 - 5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1 - 2*o**2)*(4 - 2 + 1).\nAnswer: -6*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.5 (b) 0.33 (c) 81 (d) -0.3 (e) -0.19 (f) -25 (g) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 - 0.07. Let t = z - 0.2. Let m = -11818.9 + 11822. Which is the second biggest value? (a) t (b) m (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 + 0.1. Suppose 5*p = 2*p - 6. What is the closest to -1 in n, p, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 4. Let t(h) = h**3 - 4*h**2 - 6*h + 5. Let f be t(y). Let g be 2\/(1\/(f + 5)). Calculate the highest common divisor of 30 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -14*q + 2. Let x be y(-9). Find the common denominator of 541\/234 - (-1)\/39*3 and (-40)\/x*(0 - 6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * 1.693.\nAnswer: -40.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 73547.15 weeks?\nAnswer: 44481316320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0, 19070, 2\/3 in descending order.\nAnswer: 19070, 2\/3, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(637) + sqrt(637))**2*4.\nAnswer: 10192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 10:30 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/2*(-154)\/3?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 35, 45, 39, 11, -45, -135, -265?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 45\/4*k**4 - k + 1 - 50*k**2 + 0*k**3. Find the second derivative of z(o) wrt o.\nAnswer: 270*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1477*u + 5910. Determine s(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 12*s**2 + 10*s - 9. Let g be j(-11). What is the third derivative of -2*x**2 - 2 + g + x**3 + 0 wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 73, 106, 139, 172, 205?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 40798 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1001000001110100100000?\nAnswer: -1001000001110100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - 2*d + 3*d)*(3 - 2 - 2)*(4*d + 2 - 2) + (-d**2 + 0*d**2 + 0*d**2)*(-5 + 0 + 3).\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 - 0.3?\nAnswer: 171.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 0.6, 2, -16, 4, 5 in descending order.\nAnswer: 26, 5, 4, 2, 0.6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526040577.\nAnswer: 3, 58448953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01667681 rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1210\/1320 - 2\/8. Let j = 5\/7 - 1. Put z, -1\/8, j, -2 in increasing order.\nAnswer: -2, j, -1\/8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i + 10 = b, 2*b - 2*i = 20. What is the remainder when 67 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-176)\/(-913792)*-88)\/(3\/(-3)).\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-5 + 2 + 1*sqrt(539))*-5)**2.\nAnswer: -41100 + 3150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 10 = j + 9*t, j - 2*t = 0. Solve -3*o + 3*f = 9, 2 = j*f - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, v: 2, m: 2, e: 4}. What is prob of sequence mae?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 8*q**2 + 13*q - 15. Let t be f(7). What is the units digit of 175\/t*-1*305\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62229257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32653421?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, -59636 in increasing order.\nAnswer: -59636, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41522307 + 4?\nAnswer: 41522312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13799?\nAnswer: 13799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -626*n + 97*n - 47. Suppose 2*k = -3*b + 4*b + 14, -4*k + 8 = 3*b. Sort -8, 4, k, n in descending order.\nAnswer: k, 4, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 24. Let j = -2 - -1.7. Which is the second biggest value? (a) 0.1 (b) j (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100101100001010011 (base 2) to base 10.\nAnswer: 940115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1598*a - 1589*a = 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17)\/6 - 2\/12. Let w be (-4)\/(-6) + 46\/(-6). Let x = 3 + w. Sort x, 4, h.\nAnswer: x, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddeddde. Give prob of picking 1 e and 1 d.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 9*l = -5*o + 56, 4*o + 5*l - 30 = 0. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z - 2. Let q be u(4). Let a(v) = -6*v + 9. Let x(g) = -3*g + 5. Let r(b) = q*a(b) - 11*x(b). What is r(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11586452465 to 4 dps.\nAnswer: 0.1159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3171?\nAnswer: 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3. Let x = -2\/283 - -584\/2547. What is the second biggest value in t, x, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-12)*((-4)\/(-6))\/(43\/(-387)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1863629 is divided by 453?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5 + 4 - o - 5*o**2 - o**3 + 4. Let u(k) = 7*k**3 + k**2. Let l be u(-1). Calculate the remainder when z(l) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - 4 + 4)*(-2*g + 9*g + 3*g)*(-2*g - 2*g - 3*g).\nAnswer: 70*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v = 225. What is the units digit of (-2)\/(-4) - v\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b - 2*b)*(2 + 0 + 2) + 0 + 0 - 2*b - 5*b + 21*b - 33*b.\nAnswer: -23*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 5*w - 5*z = 35, 3*w = -2*z + 71. What is the highest common divisor of w and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -44 + 275a70?\nAnswer: 275a2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 1. Let d be c(-4). Suppose -5*q + 180 = 5*l, 2*l - 26 = -d*q + 163. Suppose -2*j - 26 = -3*j. What is the greatest common divisor of q and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (14 - 15) + 25 + -34.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -107, 2\/7, -2 in decreasing order.\nAnswer: 2, 2\/7, -2, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 + 2*h + 1. Let n be b(-1). What are the prime factors of 2 + 1 + 7 + n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -15 + -9 + 1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1 = -6. Let a be 156\/20 + v\/(-5). Suppose 4*j = a*j - 8. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746 a factor of 5678396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1631)\/(-1864)*2\/21*9. Let j(c) = c - 6. Let y be j(3). Let g(w) = -w**2 - 5*w + 4. Let p be g(-5). What is the nearest to -11 in k, y, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 33\/(-11) - (1 - 1). Let f(o) = 53 - 33 - 21 + 9*o**2. What is the tens digit of f(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 2*m + 76, -53*n - 73 = -48*n - 3*m for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -72012 - 1?\nAnswer: -72013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -812*n**4 - 333*n**2 wrt n.\nAnswer: -19488*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 3*i + 2. Let u(t) = 3*t + 1. Let r be u(-1). Let n be z(r). Suppose -p = -4*b + 11 - 3, 2*p - 3*b + 1 = n. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + i + 41692805 + 239287194, 2*i = -s + 93660002. What is s rounded to the nearest 1000000?\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 + 396*s**2 - 10324*s - 5008. What is k(167)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.8 times 0.3?\nAnswer: 26.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 19. Let s(u) = -3*u - 48. Let t(d) = 5*i(d) + 2*s(d). Let k(x) = -15*x - 5. Determine -k(o) + 5*t(o).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6077305 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 494*j - 167516 = -502*j - 78872 for j.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9448717 is divided by 72.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150667 is divided by 74985.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 14\/(-5))\/((-35)\/385*-22). What is the nearest to c in 0.2, -3, 4, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -160\/13*m - 2\/13*m**3 + 34\/13*m**2 + 128\/13.\nAnswer: -2*(m - 8)**2*(m - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43 + 1767?\nAnswer: 1724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (66 + -64 - (-1 + -2)) - 6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258220678?\nAnswer: 2, 19, 23, 439, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 4*j + 5. Let k be q(-2). Which is the nearest to 0? (a) k (b) -3\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = g - 203. Solve 7*o = 9 + g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4141, 2457, -2119, -11033, -25731?\nAnswer: -47659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 + -16. Suppose -l = 3*h - 11. Let b be 402\/(-4) - 6\/h. What is b rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/774 and 27\/7146514?\nAnswer: 64318626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085127 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 3*k - 1. Calculate n(6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*(sqrt(720) - -6*sqrt(720)*1)\/((sqrt(48)\/(sqrt(96) + sqrt(6)))\/sqrt(2)).\nAnswer: -420*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 850.24674 hours in weeks?\nAnswer: 5.0609925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/61 (b) 1\/4 (c) 2\/3 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -107b105 - -27?\nAnswer: -107b09a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516.0958nm to meters.\nAnswer: 0.0000005160958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2278745 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -238 + 240. Let c(o) be the first derivative of 6*o - 4 + k*o**2 + 1\/3*o**3. Give c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396622 is divided by 66103?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 11:22 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -5*g + 4*a, -g = -5*g + 4*a - 32. Let m be 2\/3 - 8\/g. Solve -3*y + 24 = -4*p + y, -p - m*y + 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 11088 = -43*c + 40*c, c = 0. Is 42 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 638\/3 - 212. Determine f, given that 2\/3*f**5 - 2\/3*f**4 + g*f**2 + 0 - 2*f**3 + 4\/3*f = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 1844*k - 425042.\nAnswer: -2*(k + 461)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48588, 97197, 145806, 194415, 243024?\nAnswer: 291633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 2. Suppose x - 2 = -1. Suppose -c - x = 5. Calculate h(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v - 145 = 723. Calculate the smallest common multiple of 21 and (v\/42)\/((-2)\/(-99)).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 33 = -3*a, -2*h + 23 = h + 4*a. Let v(w) = -19*w + h*w + 24*w + 1. What is v(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 2758?\nAnswer: 13790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a factor of 712116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 60 = 4*h. Suppose -2*y + h = y. Sort y, 3, -3 in descending order.\nAnswer: y, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14162 + 1013?\nAnswer: 15175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*w + 2*w = 0, -3*x + 5*w = -33. Let q(k) = k**2 - 6*k + 4. What is q(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzrtrtrzzrtzzzrrr. What is prob of picking 1 t, 1 r, and 2 z?\nAnswer: 18\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9725745 divided by -648383?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11022000 - 1?\nAnswer: -11022001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 88.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 1 (b) 69.3 (c) -2\/5 (d) 201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -403*i**4\/12 + 2864*i**2. Let d(z) = -2*z. What is d(q(w))?\nAnswer: 1612*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a69b8 (base 12) to base 16.\nAnswer: -3581c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23099*((-14)\/(-6) - (-104)\/(-78))?\nAnswer: 23099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53898.\nAnswer: 2, 3, 13, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174 at least as big as 132393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3443, -16, -4, -97 in descending order.\nAnswer: 3443, -4, -16, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120 - 78. Suppose -41 = 8*z - 7*z. Let y = z + 69. What is the greatest common factor of m and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(6\/(-1)) - 1. Solve 4*g + 35 = 5*a, z = 4*a - 17 + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 34, 95, 200, 361?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 621082955 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153144 (base 14) to base 9.\nAnswer: -1344785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/5*-3*(-2)\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 392 and 757197?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mjjjjjjjmjmjjm.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 5*v**3\/3 - 3*v - 8. Calculate b(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -324051 and -6480999\/20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = 5*n + 4*z, 5*z - 116 + 9 = -2*n. Suppose -n = -6*k + 10. Calculate the highest common divisor of 209 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f. Let n(a) = 7175344*a. What is q(n(d))?\nAnswer: -7175344*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15827 and 54?\nAnswer: -854658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 130\/11. Determine g so that 0 - u*g**2 + 2\/11*g = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*v + v + 5*u, -3*u = 3. Let q be 298\/91 - v\/26. Factor 18\/7*y**2 - 4\/7*y**3 + 8\/7 - q*y.\nAnswer: -2*(y - 2)**2*(2*y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 32*g**2 - 2*g - 10. Let o(j) = 62*j**2 - 4*j - 21. Let c(m) = -2*o(m) + 5*s(m). Factor c(f).\nAnswer: 2*(2*f - 1)*(9*f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(170)*-1*-4)\/(1*(-2*sqrt(90) + sqrt(10))*-2).\nAnswer: -36*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y - 2*y - 211*y**5 + y - 4*y**4 - 2*y**3 + 210*y**5 + 4*y**2.\nAnswer: -y*(y - 1)*(y + 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 7*p - 2*p, -3*l + 2*p + 73 = 0. Let t(o) = 60*o**2 + 3*o + 3. Suppose 4*g + 6 - 2 = 0. Calculate the remainder when t(g) is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmkw when four letters picked without replacement from {k: 1, w: 2, s: 10, m: 2, g: 4}.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 2*i**2 + 4*i + 5. Let c be l(-3). Let d(y) be the second derivative of -1\/3*y**3 - 1\/6*y**4 + 0 - c*y + 0*y**2. Factor d(k).\nAnswer: -2*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -2.4, -3\/8?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d - 2*i - 13, -31 = 5*d + i. Let t(x) = -x**3 - x**2 + 2. Let v be t(0). Suppose -2*y - 4*h = -5*y - 8, -v*h - 16 = y. Which is smaller: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)\/(sqrt(64) + sqrt(4)).\nAnswer: 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**3\/3 - 6555*s**2 - 555363*s + 420210 = 0.\nAnswer: -4830, -87, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10, 24, 38, 52?\n\"Answer: 14*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(78)\/(-6*sqrt(96))) + -1)**2.\nAnswer: sqrt(13)\/6 + 2317\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033 at most 2035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggfggggggggfgfgg. What is prob of picking 2 f and 1 g?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j + 33*j = 39 + 14 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 3*h**2 + h - 3. Let r be n(3). Which is the closest to 1\/15? (a) 1 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a - 15. Let b(c) = c - 3. Let k be b(1). Let d be (-5)\/(15\/(-18)) + k. Solve 0 = -a*t - d - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*l + 435, -2 = 2*l - 4. Suppose 0*c = -4*c + g. Suppose 5*h + 24 - 189 = 0. Calculate the highest common factor of c and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 13819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/7, 68.7, 5\/4, 0.3, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 4*j + 10, 21*d + 5*j = 18*d - 21 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + 1. Calculate the greatest common divisor of v and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -384 divided by 6\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (10 + (-18 - -3) - -10)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2 + 15*k - 26. Let c(q) = 7*q**2 - 13*q + 27. Let b(l) = 3*c(l) + 4*z(l). Give b(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - 3*l - 3*l)*(l - 5*l + 2*l + (-3 + 0 + 1)*(112*l - 165*l - 208*l)*(6 + 2 + 1)) in the form y + d*l + n*l**2 and give n.\nAnswer: -9392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*x**3 - 1 + (3*x**2 - 2*x**2 + 0 - 2)*(-1 + 26*x - 61*x + 19*x) to the form t*x + w + b*x**2 + r*x**3 and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350 + 2*h**2 + 179 + 171 - 3*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/80 and (8406\/(-816) - -9)*2\/(-6).\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-1\/2))\/h*h**0)\/(h\/h**(-2))**(-3\/23))\/((((h\/h**(2\/5))\/h)\/h)**(3\/19)*h\/(h*h**8)*h*h**4*h) assuming h is positive.\nAnswer: h**(13601\/4370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 6:13 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8 + 14.2. Let i = 19 - t. What is the closest to 2\/5 in i, -2, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*s - 20 = 10, -48 = 8*t - 2*s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1147800*g**4 + 3029561*g?\nAnswer: -13773600*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kxkxkxxkxkxxxkxk.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 2*h = -4*h + 19, -4*h = -v + 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) -3\/8 (c) 14493 (d) -9 (e) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 10*n - 9*n**2 + 6 - 12*n**3 - 11*n**3 + 22*n**3. Suppose -c = 4 + 6. Calculate i(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*u - 4 = -0, 4 = g - 4*u. Let i = -451 - -456. Solve g = -i*t - 3*h + 22, 3*h + 10 = 22 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -l + 5, -11 = -3*l - j - 3. What is the units digit of 1*l - 14\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orf when three letters picked without replacement from ofsbokbr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -168 or -610?\nAnswer: -610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m + 5304 = 16*m - 34*m. Calculate the lowest common multiple of m and 510.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 751 in -1\/8, 1\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.85? (a) 3 (b) -1\/2 (c) 0.2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 0.1, 0.14, -0.2, 0.321 in increasing order.\nAnswer: -3, -1, -0.2, 0.1, 0.14, 0.321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3432963 and 811?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(6\/11))\/l)\/(l**25*l) assuming l is positive.\nAnswer: l**(-292\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 30. Give m(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -411, -818, -1221, -1620, -2015, -2406?\n\"Answer: 2*o**2 - 413*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 454 - -643. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1848 = 5*q + 5*q - 280598. What are the prime factors of q?\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = -5*k + 5*z, -k = z - 7. Suppose k*s = 10 + 17. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/7)\/z*z*z**8)**38 assuming z is positive.\nAnswer: z**(2242\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.77 and 0.19?\nAnswer: 1.8563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 - 16 = 50*l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 4*t + 270, -4*t + 220 = 4*o - 0*t. Let d = -70 + o. Let y = -41\/2 - d. Is y at most 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7001720 is divided by 875209?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or -176\/3?\nAnswer: -176\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, n: 2, l: 3, a: 7, o: 1, e: 2}. Give prob of picking 1 a and 2 l.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4181 is divided by 4166?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, w: 1, t: 1, v: 8, y: 3}. Give prob of picking 1 t, 1 c, and 1 v.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -79 (c) -4 (d) -583 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(13\/(-6) + 2). Let i be 2\/(-3*3\/r). Solve -2 = -a - 0, -i = -2*d + 3*a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13485 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: List the prime factors of 227413280.\nAnswer: 2, 5, 19, 239, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 224121206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -n - 5*s - 18, -4 = n + 4*s. Suppose -n*x - 1911 = -3731. What is the highest common factor of 130 and x?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 17 - 20) + 71?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 38361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*r - 27 = 0, 2*r = 5*q - 76 - 19. Suppose v = -3*d + q, 2*v + 4*d - 26 = -v. Differentiate 7*t - 2*t**v - 4*t - 3*t + 4 wrt t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.094 plus -0.08?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -872 - -874. Suppose -o = f*j + 672 - 3474, 0 = -o - 4. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 51\/9)*24\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7529 is divided by 25?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/2*361\/(-722) + -1*(-4 - -7)?\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/5)\/((-3)\/(-15)). Let j(t) = 5*t**3 - 2*t**3 - g*t**3. Let d(m) be the first derivative of -3*m**4\/4 + 4. What is 2*d(f) + 7*j(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 + 75 - 145 + 4*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32537563 divided by 6.\nAnswer: -32537563\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.266 + 0.166. What is the nearest to -0.4 in -0.4, 4\/7, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67 and 3345779.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/2)\/(3\/260). Suppose -5*u = -u - j. Is 11 a factor of (1\/(-3))\/((-5)\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 35. Which is the second biggest value? (a) t (b) 1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397?\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000035488 to 7 decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + u - 8 = 12*u, -2*c + 2*c + 2*c - 37*u - 21*u = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -24. Solve 0 = -q*z - 0*z - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3457 - 3541.13. Let n = -1.87 + c. Let g = -97.2 - n. Round g to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -1969.17883 + 1969.3. What is o rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 + 3*w**2 - 105*w**3 - 694*w**3 + 130*w**3.\nAnswer: -669*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18362965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let u(s) = -s**2 - 7*s + 5. Let k be u(-8). Let w(t) = t**2 - 3*t - 4. Determine w(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 9303*j + 9307*j - 20, 3*q + 3*j - 9 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -127\nAnswer: 8\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**2\/4 + 4591*f\/2 - 21077281\/4 = 0.\nAnswer: 4591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.62 - -0.12. Suppose -131*t - 60 = -136*t. Let f be ((1 - -2)*2)\/(t\/8). Which is the biggest value? (a) 0.2 (b) m (c) 5 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1345?\nAnswer: -1\/1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 377 - 373. Let g(y) = 1 - 8 + 75*y**2 + 10*y + 8*y**2. Is g(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 0. List the prime factors of u - (2 + 2\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476132929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -27, -4835098 in descending order.\nAnswer: 5, 1, -27, -4835098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7043431 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1000)*-1 - sqrt(1000)))\/(sqrt(200) - ((sqrt(200)*2 - sqrt(200)) + sqrt(200)) - ((-2*sqrt(648) - sqrt(648) - sqrt(8)) + sqrt(8))).\nAnswer: 15*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 2*f**3\/3 + 3*f**2\/2 + 2*f - 3. Let k be ((-15)\/3 + -4 + 11)\/(-2). Let m = -35 + 32. Let p(o) = -o. Give k*a(x) + m*p(x).\nAnswer: -2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4758264 + -2768753. Let b = -1009511 + x. What is b rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*1277\/(-3) + 6\/(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 9320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + -2)*5.\nAnswer: -10 + 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6677 - 1845 = -4*s. Let v = s + 2965. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -979.39583 - -0.09583. Round i to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 13.2, -0.06, 5\/2?\nAnswer: 13.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(8\/3)*i**17)**6 assuming i is positive.\nAnswer: i**124","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -168520\nAnswer: 337040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109455851.\nAnswer: 3541, 30911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -2) + (0 - -1). Let o be 1 + -1 - 0 - a. Suppose -5*j = -2*z - 38, o = 4*j + z - 0*z - 20. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 2*u**3 - 8*u**2 + 10*u + 0*u**3 - 17 - 8*u**2. What is the tens digit of w(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2 + 4 + z**2 to the form h + m*z + n*z**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 3*p + 3*h - 15 = 0, 0 = -4*p + 3*h - 1. Let c(n) be the third derivative of 0 + 0*n + 1\/3*n**3 - 2*n**p - 1\/24*n**4. Differentiate c(a) wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**6\/120 + v**3\/6 + 3*v**2 + 3*v. Let a(o) be the first derivative of d(o). Differentiate a(i) wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 29.9 (b) 16\/9 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13574?\nAnswer: 2, 11, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152 + -70. Suppose -5*q + w + 33 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/3 + 15620*p**2\/3 + 78038*p\/3 - 31220.\nAnswer: 2*(p - 1)*(p + 6)*(p + 7805)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Sort 14.8, 4, -2 in decreasing order.\nAnswer: 14.8, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 8*u + 24*u = -4*s + 72, 6 = 4*s + u - 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*f + 405 + 4275 = 0, 3*g = f + 2788. List the prime factors of g.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/11))**(-13\/4)*g**(-12)\/(g\/g**(3\/8)) assuming g is positive.\nAnswer: g**(-1163\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 353991?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 876186 is divided by 690?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2102010 - 12?\nAnswer: 2101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 544 divide 147488696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-30))\/(18*15\/(-450)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/19, -2, -30, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130272)\/(-100464) - 8\/7.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10136918*v**3*w**3 - 3*v**2*w**3 - 5189*v**2*w**2 - 2*w - 719 wrt v?\nAnswer: 60821508*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*w**2 + 133*w**2 + 39*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1824\/(-11) + 4 + (-9)\/3. Let y = p + 165. Let w = 4262\/15 + -284. Sort -2, w, y in decreasing order.\nAnswer: y, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -48. Suppose -t*b = -26*b + 130. Calculate the greatest common factor of b and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -67 and 3863.8?\nAnswer: -258874.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0037265 minutes to seconds.\nAnswer: 0.22359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**4\/3 - 11*m**3\/6 + m**2\/2 - 3*m. Let z(v) be the first derivative of g(v). Is z(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*n - 5*z, -13*n = -9*n - 4*z - 20. Let h = 0.041 - 1.041. Which is the nearest to 7? (a) n (b) 0 (c) -2 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2478732 divided by -1239366.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 111258*c + 63130665.\nAnswer: -3*(c - 37645)*(c + 559)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 185\/4. Let x = -1242.91 + 1243. Put r, -3, x in ascending order.\nAnswer: -3, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4) - 1\/(1\/28*8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - 41. Find the common denominator of -107\/26 and (-89)\/x*(1\/6 + -1).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*3*sqrt(19)*-2.\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 190.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.36 from -6286667.4.\nAnswer: -6286667.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 + 8 - -4 - -13) + -1 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/(-15) + (-4)\/(-10). Let a(z) be the first derivative of 8*z**2 - z - 6. Let u = 20 + -9. Let d(g) = 3*g. Give r*a(t) + u*d(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 2*l**2. Let t be 36\/(-20)*(-20)\/6. Suppose 2*y + 0*y = -t. Let c be g(y). What is the greatest common factor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 554?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 2*o**2 + 6*o - 3. Calculate the remainder when x(4) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38682*k + 38808*k - 77393*k.\nAnswer: 97*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + i + 14 = -7, 0 = 3*o - 4*i + 15. Let y be (4*o\/(-6))\/(-2). Let u = 9 - y. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*y - 1555 + 1687 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -12. Suppose -d - r - 33 = 0. Let j be 1\/(-6) + d\/(-12). Solve 2*t - 3*t + 1 = -4*s, -j*s - t - 7 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 2*t - 151. Let g be v(-13). Let s be (-325)\/(-10)*8\/(-10). Let l = -30 - s. Sort l, g, 1, 4.\nAnswer: g, l, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 2:44 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -57326387038628\nAnswer: 57326387038628.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 5*f**2 - 4*f + 7. Calculate the remainder when 245 is divided by t(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1040382352.\nAnswer: 2, 1619, 40163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 5813723 and -14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-40 - 9870\/(-245))*(69 - -1))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 2)*(247 - 53 + 27)*(-12*y + 4*y**2 + 12*y) to the form b*y + a*y**2 + l and give a.\nAnswer: -1768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -23*t - 3 + 3 + 48*t. Let z(p) = -p. Give z(m(w)).\nAnswer: -25*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(150)\/(sqrt(40)\/sqrt(4)))\/(-6*((sqrt(220)\/sqrt(4))\/sqrt(11) + sqrt(5))).\nAnswer: -5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14c (base 15) to base 4.\nAnswer: 10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 16*f**2 - 3 - f**3 + 6 + 2*f - 11*f**2. List the prime factors of t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-2))\/(-3)*-88. Find the common denominator of 2515\/l - (-4)\/(-22) and (-4)\/(-2) + (-31)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 11*t**2 + 5*t + 11. Let k be (-45)\/6*48\/(-9). Suppose 0 = 5*c - 5, -4*b + c + 3*c + k = 0. What is the tens digit of u(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 m when three letters picked without replacement from ssssmsssssssmsms?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10094 divided by 87?\nAnswer: -10094\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 5:50 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*k**4 - 5 + 1 + 3 - 7*k**4 - k**3 to u*k**2 + m*k + p + r*k**3 + t*k**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**4 + 35*g**2 + 4. Let t(w) = 6*w**4 + 35*w**2 + 5. Let m(z) = 5*h(z) - 4*t(z). Find the third derivative of m(b) wrt b.\nAnswer: 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 3*i - 94 = 5, -650 = 55*u + 4*i - 2*i for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/8 + 11*f**3\/2 + 48*f**2 - 288*f = 0. Calculate f.\nAnswer: -24, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4371\/5 + -882. Suppose -11 - 1 = -4*k. Find the common denominator of q and 0 + 27*k\/(-30).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1*sqrt(605)*-2)**2 - (sqrt(605) + (1*(sqrt(605) + -4) - sqrt(605)))**2).\nAnswer: 88*sqrt(5) + 1802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 193571089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 674, 607, 530, 437, 322, 179, 2?\n\"Answer: -n**3 + n**2 - 63*n + 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 788.3 plus -12?\nAnswer: 776.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 173 divided by 62163\nAnswer: 173\/62163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - z = 134, -5*c - z - 166 = z. Suppose 26*o - 371 - 1033 = 0. Let h = c + o. Solve w + h = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1326391 is divided by 221059?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1191466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h = 31*h - 242. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2600350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 35693699 to the power of 1\/3, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 85914525 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**(-5)\/u*u)*u**(1\/4)*u\/u**3*u**(-2\/23) assuming u is positive.\nAnswer: u**(291\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3284 - 1257.8374. Let j = c + 1257. Let q = 0.5 + j. Round q to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2698975 and 11485.\nAnswer: 2698975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6014945861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, l: 3, a: 4, x: 1, u: 1}. What is prob of picking 1 a and 3 r?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 p when three letters picked without replacement from scpcpppb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336 divided by -84.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1133.728 weeks?\nAnswer: 7936.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 46851?\nAnswer: 1171275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -243*s - 349*s + 474*s + 4602 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16120\/(-4960) - 98\/(-8) - (-3 - 211\/(-18))\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5129104 to three dps.\nAnswer: 2.513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3871991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 17*t**2 - 7*t - 7. Let d be k(-17). Let j(b) = -b**3 + 5*b + 2. Let o be j(-3). Calculate the greatest common factor of d and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 8, k: 2, w: 2}. Give prob of sequence kw.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + -1 + 4 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 3*u + 3. Let s be d(0). Let v(a) be the third derivative of 0 + 0*a + 7\/150*a**5 - 2*a**2 + 0*a**s - 1\/30*a**4. Factor v(k).\nAnswer: 2*k*(7*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 10 = 2*o, 5*m + 2*o = 4*o - 26. What are the prime factors of m\/(-30) - 284\/(-5)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4606 + -50678\/11. What is the closest to 1 in 1\/5, -0.2, r, -6\/25?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 125063706 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b711d (base 15) in base 13?\nAnswer: -586813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -m + 51, 5*d + 129 = 2*m + 6*d. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 7*k + 4. Let g(u) = -8 + 1 + k - u + 3 - u**2. Determine g(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 0*i - 1\/30*i**6 - 1\/30*i**5 + 1\/6*i**4 + 1\/105*i**7 + 0 + 2*i**2 + 0*i**3. Factor g(b).\nAnswer: 2*b*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-25 - -34) + (1 - 12). Sort -27, p, -8.\nAnswer: -27, -8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1837923 and 83\/2880.\nAnswer: 1764406080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 + 3*x + 12)*(x**3 - 6*x**3 - 6*x**3).\nAnswer: -33*x**4 - 22*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f + 6. Let b(q) = -3*q - 7. Calculate 5*b(j) + 6*h(j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - k - o - 1, 2*k - 2*o = 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 7*t - 2. Let y be w(7). Suppose -22 = -5*u - 4*n, 5*u + 2*n - 12 = 2*u. Let r be 11 + -15 + 8\/u. Sort r, y, -3 in decreasing order.\nAnswer: r, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 30 = 2*v + 189, -v = g - 68. Let w = 242932 + -242930. What is the highest common factor of g and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -818 = -499*y + 6168 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 936632, 936631, 936628, 936623?\nAnswer: 936616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.8 (b) -1 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51\/5 of a microgram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - k - 1. Let r(l) = l**2 + l - 3. Let o be r(-3). What is the units digit of q(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.55289m in kilometers?\nAnswer: 0.00555289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9888*f + 19785. Calculate q(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13907, 13872, 13837?\nAnswer: 13802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + s - 325 = 0, -3*m + 2*m + 176 = 5*s. Calculate the remainder when m is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 7*w - 29 + 14.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -522, -1053, -1596, -2157, -2742?\n\"Answer: -r**3 - 524*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19241\/7315 - 4\/665. What is the common denominator of 4 + (1 - 135\/(-12)) and g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36780 and 1440.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8869 and -2.\nAnswer: -17738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 - 172*z**2 + 8406*z - 24704\/3.\nAnswer: 2*(z - 193)*(z - 64)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 360, -1\/9, 17, 0 in ascending order.\nAnswer: -1\/9, -0.04, 0, 17, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**4\/4 + 7*t**3\/3 + 3*t**2 + 5*t - 8. Let i be y(-6). What is the third smallest value in 4\/7, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z + 5. Let l(y) be the first derivative of y**2\/2 + 10*y + 1. Let i be l(-5). What is h(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {n: 4, q: 4, v: 9}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3923770547?\nAnswer: 509, 7708783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20ea2f (base 16) to base 11.\nAnswer: -1243733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/5 of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(16\/6)*(-16)\/(-56).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19538*d**2 - 19545*d**2 + 58565*d**2 - 19491*d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve -233 + 213 = -10*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (26\/52)\/(7 - (-22)\/(-3))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sswwsswsrwswwwwwwr. What is prob of sequence ws?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286882745?\nAnswer: 5, 3607, 15907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -74*j**2 + 1775*j + 727246 wrt j?\nAnswer: -148*j + 1775","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxkznnx. Give prob of sequence nn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 13*x - 9. Let a be k(12). Suppose -3*h - 2*h + 10 = u, -a*h = -4*u - 6. What is r in -6*r**4 + 4 - 6*r**3 - h*r**2 - 2*r**5 - 4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 749*u - 24.\nAnswer: 749*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 + -53. Suppose 0 = -0*s - 2*s - 2, -5*z - 4*s = -n. Let d(a) = a**3 - 6*a**2 - 8*a + 10. Let j be d(z). Solve 0 = j*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 129 + -38. Let i be (-6)\/(-21) - (-884)\/y. Solve 3*f = 2*t + f - i, 0 = 2*f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 88?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*v + 3175910 = 3174636 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227, 254, 317, 428, 599, 842, 1169, 1592?\nAnswer: 2123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkk. Give prob of sequence kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 3. Let q be t(-2). Let b be (-4 + q\/(-2))*-12. Calculate the greatest common divisor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c - 19. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146077.8375 rounded to the nearest one thousand?\nAnswer: -146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, s: 3, v: 1, n: 3, x: 1}. Give prob of picking 1 s, 1 n, and 1 o.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 34 - 3*v**2 + 4*v**2 - 7.\nAnswer: v**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5 + 0 + 5*r - 3. Let s(k) = 1. Let d = -25 + 23. Let a(g) = d*s(g) - z(g). Find the first derivative of a(c) wrt c.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 16*g - 11. Let c be p(-10). Suppose 5*v + 9 - c = 0. Suppose 3*f - v - 1 = 0. Solve 39 = 5*u - 2*k + 8, 0 = 2*u + f*k - 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.27 - -1.74. Let x = s - -1.53. Which is the third smallest value? (a) 5 (b) 1\/18 (c) x (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 348.893 hours?\nAnswer: 1256014800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41559, -338211, -1143435, -2711517, -5296743, -9153399, -14535771, -21698145?\n\"Answer: -42381*a**3 + 15*a + 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h - 516 = -32*h + 3*p, 5*h - 460 = -5*p. Calculate the smallest common multiple of h and 72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 400 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 0. Suppose -w*c + 25 = c. Suppose c*j = -5*z + 60, -j - 2*j + 24 = 2*z. Solve -u = 2*u - z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -8*c + 99. Let k(a) = a**3 - a**2 - 6*a + 6. Let u(t) = 2*t**3 - 2*t**2 - 11*t + 11. Calculate c*k(i) - 6*u(i).\nAnswer: -i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 163329.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13.57961km?\nAnswer: 1357961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -175 (base 12) to base 6\nAnswer: -1025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 10:12 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 180871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -10. Let c be (-333)\/(-15) + 1\/(-5). Suppose f + f = -5*w + c, -10 = -p*w - 5*f. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 + 35 - 64 + 6*d**2 in the form c*d**2 + x + s*d and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 29*v**2 - 20*v - 11. Let k be g(30). Suppose -10 = -2*n - 4, -42 = -3*d + 3*n. What is the greatest common factor of d and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 100. Let o be b(0). Let n = 22 + o. Let m = 178 + n. What is m rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 728485?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/2 - 9188*p**2 + 41370602*p + 7747315560 = 0. What is p?\nAnswer: -180, 9278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001078913267 to 7 dps.\nAnswer: -0.0010789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 28. Suppose -5*j - 38 + 3 = -a*k, 2*j - 10 = -k. What is the units digit of (-505)\/(-20) - 2\/k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f - 46. Let x be -4 - (0 + (4 + -6 - 3) + 6). Give z(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*m**2 + 30*m**2 + 32*m**2.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 0 + 1*sqrt(605))**2 - (3*(sqrt(605)*2)**2 - (3 + 2*sqrt(605))**2))*6*-2.\nAnswer: -2112*sqrt(5) + 50664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from dlpqllllqlpll?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.290023 millilitres to litres.\nAnswer: 0.000290023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**2 - 5908872*i + 5908872*i.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 723870 or 723872?\nAnswer: 723872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 356 = 4*j. Let q be 2 + -4 + -1 - 3. Calculate the remainder when j is divided by 1\/6 + (-179)\/q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123906 and 42159306?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 21, -22, 1.2, 0, -2 in decreasing order.\nAnswer: 21, 11, 1.2, 0, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -96 - (-55 + (-55 - -91))\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186572446 to the nearest integer?\nAnswer: 13659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 j, and 2 k when four letters picked without replacement from zffmfjjkmfzyykfj?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, c: 3}. What is prob of sequence gcc?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:10 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**4 + c**3 - c + 1. Let g(w) = -3*w**3 - 9*w**2 + 9*w - 3. Let j(l) = -g(l) - 3*i(l). Factor j(n).\nAnswer: -3*n*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 14 = -4*f, -3*f - 3*o = -15 - 0. Suppose -2*z - 48 = -6*z. Calculate the common denominator of 153\/z + (-1)\/f and 32\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6*l + 1347 = -4*h, -h - 5*l - 354 = 0. Let i be 6\/(-5) + 2 + (-277488)\/410. Let c = h - i. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 15*p - 968. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*l = 153*l + 312. Solve -h - l = -42 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - t + 24. Let o(g) = -g**2 + 16*g + 5. What is the tens digit of o(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*a**4 + 9*a**4 - 2*a**5 + a**2 + (-a - 3*a + 2*a)*(4*a**4 - 2*a**4 - 3*a**4) - 2*a**3 + 2*a**3 + a**5 + 3800*a**4 - 33*a**5 - 3800*a**4.\nAnswer: -32*a**5 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 2253*m**2 + 4497*m + 2247.\nAnswer: 3*(m + 1)**2*(m + 749)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 8*b**2 - 12*b + 13. Let h be t(-3). Calculate the greatest common factor of h and 472.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3)\/h)\/h*h\/h**6)**31\/(((h*h\/(h*h**(-3)))\/(h*h*h*h*(h*h*h\/h**2)\/h))\/(h\/(h\/(h\/h**(-3\/5)))*h**(-4\/3))) assuming h is positive.\nAnswer: h**(-1032\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -23. Let v = 121069376 - 121069353.9999956. Let o = v + r. What is o rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**2 - 5*i - 3. Let m(h) = 54*h**2 + 21*h + 12. Let j(p) = -7*p**2. Let b(l) = -6*j(l) - m(l). Determine -5*b(w) + 21*y(w).\nAnswer: -3*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-10)\/15)\/(1\/(-3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from aczzzzazzacacccz.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2000, 5, 2894 in increasing order.\nAnswer: -2000, 5, 2894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002606916 to seven decimal places.\nAnswer: -0.0002607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - n - 2. Let d(z) = 6*z**2 - 16*z - 4. Let u(m) = 3*d(m) - 21*o(m). Solve u(r) = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, n: 2, g: 1, p: 5, j: 8}. Give prob of sequence ng.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22990 + 22989.72. What is the fifth smallest value in d, 5, 2\/13, -3, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from {y: 1, n: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is cbb36c (base 14) in base 3?\nAnswer: 110222221002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 16*c**2 - 83*c - 34. Determine y(-20).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 = -w. Let h be ((-5)\/(-60) - (-1076)\/(-240)) + (22 - 18). Which is the nearest to h? (a) 1\/6 (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3481240201 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -108*c**4 + 2 - 64*c**2 + 6*c - 4*c + 223*c**4 - 113*c**4 in the form v*c**3 + n*c**4 + a*c**2 + m + k*c and give a.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -732.61 + 732.91. Let f be 5 + (0 - -1) + -1. Put b, -0.5, f, -19 in descending order.\nAnswer: f, b, -0.5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/15*35\/(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22\/3*v**2 + 128\/3 - 2\/3*v**3 + 152\/3*v.\nAnswer: -2*(v - 16)*(v + 1)*(v + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**2 - 3288*w = 0. Calculate w.\nAnswer: 0, 1096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m - 14. What is the tens digit of a(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/9)\/v*v)**22\/((v*v**(2\/43))\/v*(v**14*v)\/v*v) assuming v is positive.\nAnswer: v**(-3931\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*a - 257 - 2047 = 22*a + 14*a for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/(-3))\/((-19)\/342). Let z be 280\/g*((3 - -17) + -2). Calculate the highest common divisor of z and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c + 15*c - 40*c + 12*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4201*b**3 + 2*b**2 + 7580*b - 2 wrt b?\nAnswer: -25206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p + 191*p - 4394 = -116*p + 6058 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -13*d + 625. Let a be f(47). Sort 3, -3, a, -1 in decreasing order.\nAnswer: a, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 6 + (4 - 2) + -2. Which is the second smallest value? (a) i (b) 0 (c) -1 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13.89562 and 68.\nAnswer: 54.10438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 7*x + 910 = 0. Calculate the highest common divisor of x and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48 - (-92 - 16)) + -74.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -9554 and -9550 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 7*k**2 - 450*k - 1003. Give g(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2700 divided by -36\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from {d: 2, x: 8, f: 2, o: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g. Let o(k) = 3*k**2 + 1. What is o(w(p))?\nAnswer: 12*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jijjcvv. What is prob of sequence vicv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-5))\/(13\/65). Suppose 292 = m*x - 156. List the prime factors of (-1 + -5)*x\/(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z. Let s(w) be the third derivative of 17*w**4\/24 - 97*w**2. Calculate s(v(d)).\nAnswer: 102*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7467754 times -5\nAnswer: 37338770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from aaaaaappaaa.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 2*c + 4. Let j be 4\/(-6) + 35\/(-15). Let w be p(j). Suppose -11 = -l - 3*s, 2*l = -2*s + w*s. Solve -1 + 2 = h + g, 20 = l*g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 8 (b) -7 (c) 6 (d) -0.1 (e) 0.046\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -10?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 8*p - 7. Let m be x(-8). Let t = 13 + m. Sort -5, -1, t.\nAnswer: -5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 4, 100, 2 in decreasing order.\nAnswer: 100, 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5325947 and 40473.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1812*c*p**6 - 7*c*p**5 - 102*c*p + 621*p**2 wrt p?\nAnswer: 217440*c*p**3 - 420*c*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/2*(7\/(-3))\/7. Put 0.2, w, -0.4, 1 in descending order.\nAnswer: w, 1, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22353*d = 22364*d + 187 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + v + 11*v - 3*v + 2 to the form i + w*v and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*t = -120. Let u = -28 - t. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9957*r**3*u**2 - 185*r**3 + 2*r*u + 225 wrt u.\nAnswer: -19914*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 528686 + 0.4.\nAnswer: 528686.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001010001 - 100?\nAnswer: 10001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.1 + -3.1. What is the nearest to d in 0.4, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2052 + 0*r**2 + 2019 + 4*r**2. Let g(v) = 3*v**2 + v - 34. Let h(f) = 3*g(f) - 4*x(f). What is the first derivative of h(u) wrt u?\nAnswer: -14*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4 + 12*o**3 + 2601*o**2 - 29526*o - 69312 = 0. Calculate o.\nAnswer: -32, -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, x: 17}. What is prob of sequence xm?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12388249*h**3 - 5*h**2 - 75139838*h?\nAnswer: -74329494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - -431. Suppose -4*w = -172 - k. List the prime factors of w.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 4, 42, 1.6, -3?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 28*x**2 + 49*x - 44. Calculate the remainder when z(6) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 19 - 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**5\/60 - u**4\/24 + u**3 - 15*u**2\/2 - 52. Let w(j) be the second derivative of i(j). Find m, given that w(m) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1047 divided by 2.\nAnswer: 1047\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -287 + 503. What is the greatest common factor of 24 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 4*f**2 + 2*f - 6. What is z(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -746.77 - -747.33943. What is n rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1304 - -1307. What is the closest to 1 in q, 5, -11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104) - (sqrt(104)*3 + sqrt(104)))*-6)*-3*-2)\/((sqrt(392) - 2*1*sqrt(392))*2).\nAnswer: -57*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/12 and 15\/236.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 27*u**2 + 2*u - 5. What are the prime factors of y(-3)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z*z\/(z\/(z**(-3)*z))*z*z)**21 assuming z is positive.\nAnswer: z**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from urvrvvuu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 11*d**2 - 12*d - 2. Let g be r(-12). Let m be 3*(-1 + (-18)\/(-15)). What is the biggest value in m, g, -1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -2, -2\/31, -5, 2\/829?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -3 + 3 + (-5 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**3*m*p**3 - 4*j**3*m*p**2 + 2*j**3*p + 17*j**2*m*p**2 + 19516*j*m*p**3 - 185*j*m*p**2 + p wrt p.\nAnswer: 12*j**3*m + 117096*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**3 + 4*z**2 + 2*z + 2. Let n(f) = f**2 + 21*f + 112. Let a be n(-9). Let g(m) = -5*m - a - 9*m**2 + 49*m**3 - 1 - 60*m**3. Give 4*g(q) + 9*l(q).\nAnswer: q**3 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*l - 5 + 20, -l + 5*z = -10. Suppose -l*m = -m - 8. What is the units digit of (-204)\/(-28) + m\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -502*g**3 - 2210 + 2210 + g to t + w*g**3 + j*g**2 + a*g and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7791 and 371.\nAnswer: 7791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13572 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 244647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**2. Let j(x) = 14121*x**2. What is h(j(k))?\nAnswer: -997013205*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*f**5 + 171729*f**2 + 38*f**6 - 3*f**6 - 170691*f**2 wrt f.\nAnswer: 4200*f**3 - 1080*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 3\/772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-246)\/287*(25\/16 - 2)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -346, -702, -1068, -1450, -1854, -2286, -2752?\nAnswer: -3258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -93, -130, -169, -210, -253?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 1\/6*w**2 + 0 - 1\/3*w = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -471319263 and 2.2.\nAnswer: -471319260.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 - 4*h**3 - h**3 + (0 - 2*h + 0)*(2*h**2 - 2*h**2 + h**2) - 9*h**3 + 7*h**3 + 13*h**3 to r*h**3 + k*h + f + t*h**2 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14551\/41185144 - 1\/10703. Let m = 3431\/1604616 + v. Let u = m + 367\/1529. Calculate the common denominator of 73\/27 and u.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7 + 14 - 5 - 4 + m**2 + m. Calculate u(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - ((16 + -11 - (3 + 6)) + 15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llsylrskkrooolk. Give prob of sequence oyr.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10}. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 530, 1746, 4112, 8012, 13830, 21950, 32756?\nAnswer: 46632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (26\/4)\/(2\/4). Suppose 0 = -2*b + 3 - s. What is the units digit of 1 + -1 - (b - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1389 by -4.\nAnswer: 1389\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8376*l**5*w**2 + 3*l**2*w**3 + 2*l*w + 76694*l - 3*w**3 wrt l.\nAnswer: -167520*l**3*w**2 + 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/4 (b) -4 (c) -1.559 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 248450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/4)\/3*(-5880)\/(-882)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 10. Let b be 4\/(-26)*(-975)\/150. What is the greatest common factor of b and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 13) in base 12?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -2)*(-44)\/(-12). Suppose 0 = -a*h - 11965 + 95730. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12150 = -136*u + 142*u. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3564 and 66438306?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -121?\nAnswer: 6\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w + 75. Let a(u) = 21*u + 375. Let m = -284 - -282. Let k(b) = m*a(b) + 11*o(b). Let q(c) = -2*c. Determine q(k(y)).\nAnswer: -4*y - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o - 9. Let c(d) = -d + 4. Let g(b) = 9*c(b) + 4*r(b). Let h(y) = -37*y. Give g(h(a)).\nAnswer: -111*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 659*h - 2182 + 2805*h + 1106*h wrt h.\nAnswer: 4570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**6\/780 + 2*i**5\/195 - 5*i**4\/156 + 2*i**3\/39 - 51*i**2\/2 - 90*i. Let x(d) be the first derivative of p(d). Factor x(m).\nAnswer: -2*(m - 2)*(m - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 - v**3 - 6 + 0 + 5 + v**2. What is o(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552144 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 25364?\nAnswer: 25362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkggtgggmtkktok. What is prob of sequence om?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -47. Let g = m - -33.5. Let p be 24\/10 + 0 - (4 + -1). Sort g, -3\/4, p in ascending order.\nAnswer: -3\/4, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (154\/(-231))\/(((-12)\/48)\/(9\/(-96)))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 0.161874001.\nAnswer: -0.361874001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1671, -9, -2\/77.\nAnswer: -9, -2\/77, 1671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -510 divided by 1638.\nAnswer: -85\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.083894 to one dp.\nAnswer: 13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1701450 rounded to the nearest ten thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4 + 23 = 3*o, m = 3*o - 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.1. Let l = 0.08 - -0.22. Let j = -0.07 + -0.03. What is the biggest value in n, j, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95948707 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24929245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37780715 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: Let d be 12\/2*(-5)\/(-10). Suppose 3*f = 2*f + d. Find the third derivative of 0*m**3 + m**f + 0*m**2 + 2*m**2 wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6031*q**5 + 5838*q**3 + 427*q**2 - 70930 wrt q.\nAnswer: -361860*q**2 + 35028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 0*p)*(-3*p**3 + 6*p**3 - 4*p**3) + (-3*p**2 - p**2 + 3*p**2)*(3*p - 3 + 3)*(-p + 6 - 4 + 7).\nAnswer: 4*p**4 - 27*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-10)*(-102 - 1). Let m = t - -102. Suppose -o + 3 = -2*d, -o - d + 9 = -6. Sort o, -5, m.\nAnswer: -5, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 x when three letters picked without replacement from {x: 6, i: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -137*p**2 - 4*p - 6. Let s(g) = 137*g**2 + 5*g + 7. What is 7*j(m) + 6*s(m)?\nAnswer: -137*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1957319 is divided by 978649.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (174\/290)\/((-2)\/(-96010)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**7*k\/k**(-1\/6)*k**(1\/2)*k*(k**(-1)*k)**(-32)*(k\/(k*k**0*k))**(-1\/7) assuming k is positive.\nAnswer: k**(59\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11618 + 17427. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44794 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*t - 6, -3*t = 4*r - 14 + 2. Calculate the remainder when 40 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2 = -4*x - 1, 2*r + 3*x = -3. List the prime factors of -3*(-2 - 23\/r).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from gtjjxgtjtgxltjq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108409, -108560, -108711?\nAnswer: -108862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = j + 2*d, j + d + 4*d + 21 = 0. Let h(x) = -x. Does 6 divide h(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2768b - -48?\nAnswer: -27643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 3339.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*q - 2, -5*y = -0*q - 4*q. Suppose 3 = y*u - 1. What is the highest common divisor of u and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16\/213 - 1966\/9159. Let z = -56\/215 + i. Let s be 4\/18 + (-8)\/(-45). Are s and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 6)*(5*a**2 + a**2 - 4*a**2) - 9 - 1 + 5 + 3*a**2.\nAnswer: 9*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 34 - 7 = c, -5*c - 2*b - 166 = 0. Let i = c + 54. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 + 1) - ((-2204)\/57 + 2368\/222).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + x + 45 = 0, -b + 5*b - 89 = 3*x. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (-3 - (-5)\/(-5)). Suppose q + 5*j + 20 = o, -2*j = -0*q + 5*q + 8. Does 30 divide 2 + q + 85 - (4 - 8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26199 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27384166*b*i + 1249200424*i wrt b?\nAnswer: 27384166*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-4\/13))**(-15) assuming k is positive.\nAnswer: k**(-450\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8139, 15448, 22751, 30054, 37363, 44684?\nAnswer: 52023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -29. Let v(f) = -4*f**3 + 3*f**2 + 3. Let z be -53 + 39 + (0 - (-102)\/6). Let x(c) = -28*c**3 + 20*c**2 + 20. What is d*v(i) + z*x(i)?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*b**2 - 32*b**2 + 15*b**2 - 29*b + 1 + 30*b + 3*b**3 to the form z + j*b**3 + u*b**2 + x*b and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/30 and 1\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15044?\nAnswer: 2, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -902669640 divided by -20\nAnswer: 45133482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12988 or 12987?\nAnswer: 12988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-159)\/(-12)*(-43)\/(86\/(-8))*-1.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31 + 9?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -29*a - 107. Let j(y) = -y + 30. Give 3*j(s) + l(s).\nAnswer: -32*s - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*d - 17. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 7*y + 2*n = 2, 5 = 5*y + 5*n. Suppose y*l + 5*l = l. Suppose l = 2*j + f - 6, -11 = -j + 2*j - 3*f. Which is greater: 2\/25 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2487990, -4975973, -7463956, -9951939, -12439922?\nAnswer: -14927905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b4a - 3?\nAnswer: 2b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/53989 or 1?\nAnswer: -10\/53989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1 + 5 = 0, -n + 17 = 5*y. Suppose 6*f - 6 = y*f. Solve 0 = f*j + 3*j - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y - 18. Let b be (1\/(-5)*8)\/(6\/(-15)). Suppose 42 = 2*k - b*i, 2*i - 6*i - 64 = -4*k. Is c(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, m: 5, n: 3}. What is prob of picking 1 n and 3 m?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*i - 13888 = -4*i. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -510\/41 or -11?\nAnswer: -510\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107 or -145?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 116*a + 1499. Determine u(-37).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-2)\/(-8)*-2. Let a be 2 - 105*7 - m. Let x be a\/(-14) + (-6)\/21. What is x rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**2 + 7*t + 1. Let s be j(2). Which is the third biggest value? (a) -7 (b) -2\/13 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875296 is divided by 67?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*d - 55 = -0*d, 5*v = 5*d + 145. Let m be (-2)\/(-1) - (-41 - 2). What is the highest common divisor of m and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12286?\nAnswer: 2, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2 = -62. Let o = -16 + i. What is the first derivative of 19*m + 15*m - o - 33*m wrt m?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + t + t)*((6 - 7 - 2)*(2*t + 4 - 4) + 5 - 5 + 2*t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -4*j + 9\/2*j**2 - 1\/12*j**4 + 0 + 7\/3*j**3. Calculate the lowest common multiple of i(14) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/9, -16355, -1\/5, -5 in increasing order.\nAnswer: -16355, -5, -2\/9, -1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**7\/2625 + b**6\/375 - b**5\/750 - b**4\/75 + 33*b**2 - 2. Factor m(a).\nAnswer: 2*a*(a - 1)*(a + 1)*(a + 4)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.067 + -5.933. Let s = 0.7 + -9.7. Let i = s - h. Sort i, 0.5, 2\/3 in descending order.\nAnswer: 2\/3, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(1\/20)*g*g*g\/(g**(-13)\/g) assuming g is positive.\nAnswer: g**(361\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -196933*i*l + i*p**2 - 2*i - 6577*l + 44*p**2 wrt i?\nAnswer: -196933*l + p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 10:37 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6557.732 micrograms?\nAnswer: 0.000000006557732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 380165 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 45, 1096.\nAnswer: -1\/7, 45, 1096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.4 - -0.6. Let x = -40 + 40. What is the closest to x in 2\/9, b, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95.72 + 95. Let c = 0.22 + s. Sort 0.5, c, -1\/7, 0.1.\nAnswer: c, -1\/7, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27105 is divided by 13539.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + c - 18. Let d(a) = -a**3 + 28*a**2 - 28*a + 27. Let r be d(27). Give b(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17912 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 1. Let y(m) = 3*m**2 + 2*m + 5. What is the units digit of y(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*f**2 + 22*f**2 + 78*f**2.\nAnswer: 43*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - 632*f**3 + 1902*f**2 - 1904*f + 635.\nAnswer: -(f - 1)**3*(f + 635)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 7*m + 8. Let b be u(7). Let i(h) = -b + 2*h - 2*h + h. What is i(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.04 - -26.05816838.\nAnswer: 25.01816838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1273*s**2 + 190409 + 538907 - 2551*s**2 - 3416*s + 1282*s**2.\nAnswer: 4*(s - 427)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 6. Let n be 4\/r + (-196)\/(-10). Suppose 11*t - 6*t = -n. Let p(i) = -i**3 - 4*i**2 + 2*i - 3. What is p(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyf when three letters picked without replacement from {f: 1, i: 1, y: 1, w: 1, h: 1, k: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (1 - 0 - (-20 - -19))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.1. Let p = -45 + 51. Let j be p*(-5 + 22\/4). Which is the second biggest value? (a) j (b) z (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, -229 in increasing order.\nAnswer: -229, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 37 = 22, 0 = m - 5*g - 18504. Is m a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27917418 at most as big as -27917408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 706587?\nAnswer: 1413174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -113.9, -3\/4, -3\/811, 4?\nAnswer: -3\/811","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -a + 3*q, -68 = -4*a + 4*q - 16. Suppose 2*p - a - 16 = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1724.265km to micrometers.\nAnswer: 1724265000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 times 206.75?\nAnswer: -24.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v - 8*v - 7*v - 3*v to the form u*v + k and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*l**2*q*s**2 + 6*l**2*q*t**3 - 17*l*q*s**2*t**3 + 2*l*q*s - 2*l*q + 5*s**2*t**2 wrt l?\nAnswer: -90*q*s**2 + 12*q*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((7 - (-6 + 7) - 4) + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 31 = -4*o - o, -3*o + 2*v + 17 = 0. Let d = -5 - -1. Let w = o - d. Calculate the remainder when w is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j - 2. Determine h(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 396781 greater than 396749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 726 and 324?\nAnswer: 39204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 21. Let m be j(-9). Let q = 1113 + -168. Suppose -q = -18*g + m*g. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-3) - (318 + -322).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -107*z + 5413. Let i be j(50). Suppose -4*o - 7 = 45. Let d = o + 20. What is the highest common factor of i and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0*(111\/(-18))\/(-37))\/(12\/(-4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -17, -49, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4559 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(10)\/sqrt(2) + sqrt(5))*5 + sqrt(5) - (-2*sqrt(5) + 5 + sqrt(5))).\nAnswer: -5 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.64 + -20.\nAnswer: -6.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9756 and 818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -161 and 0.1.\nAnswer: -16.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6030*i - 10248*i - 12726*i.\nAnswer: -16944*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*a - 6 + 6 as i*a + m and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8, 4342182 in ascending order.\nAnswer: -8, -2, 4342182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -76a9 + -32?\nAnswer: -7730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 6)*(-10)\/(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-12)*i)\/i**5*i**(-5)*i\/(i*i\/(i**10*i)) assuming i is positive.\nAnswer: i**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 627863 (base 10) to base 11\nAnswer: 3997a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**2 + 0*n**2 + 0*n**2)*(19 - 7 + 22)*(-3 + 4 - 3) to the form g + z*n + v*n**2 and give v.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-38)\/(-10) + 2\/10. Suppose -5*t + 0*i + 30 = 4*i, -w*t - 3*i + 23 = 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 2*y - 3*y)*(-297 - 4 + 37 - 211 - 134).\nAnswer: 2436*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20 (b) 0.03 (c) -4 (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxvvvvvvvvvvxxvxvv?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 309380?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*z - 16*z + 620. Let u(w) = -2*w**2 + w**2 - w - 3 + 6*w - 1. Let k be u(3). Solve -k*y + 6*y = z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 + -60. Calculate the greatest common factor of a and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) -3 (c) -0.12 (d) -86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.3 - -11.6. Let o = 16 + y. Let p = 0 - o. Which is the third biggest value? (a) 0.4 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -12. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3526 < -2952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 18*p = 244. Let t = -57 - p. Find the first derivative of -38*c**4 - 43*c**4 + 0 + 69*c**t - 14 wrt c.\nAnswer: -48*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 11:53 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681849472.\nAnswer: 2, 97, 54917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nynnngygnynyynynyn.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a hour in minutes?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 33 = -2*p. Is 7 a factor of (-10 - p)*(-1)\/((-2)\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -489*h**2*q**5 + 830*h**2 - 525*h*q**4 + 228*q wrt q?\nAnswer: -9780*h**2*q**3 - 6300*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 6*l + 8 = 0. What is the tens digit of 4*l - (2 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**3 + 3*j**3 + 4*j**2 - 3*j**4 + 0*j**4 - j**4 as z*j**3 + h*j**2 + r*j + w*j**4 + b and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-1)*(-4 - -3). Let u = j + 0. What is the derivative of -3*b + 0*b + u*b - 2 + 0*b wrt b?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 q, and 1 t when four letters picked without replacement from btqrpbpqhqth?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 808, 3344, 7546, 13384, 20828?\n\"Answer: -5*l**3 + 863*l**2 - 18*l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 2, 2*h + 5*u = -2*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-2)))\/a)**(-50) assuming a is positive.\nAnswer: a**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 4*c + 3*c + (c - 2*c + 0*c)*(0 - 3 + 1) - 4 + 4 - c + 5*c - 6*c + 0*c + 3091 + 3320 - 6740 - 18*c.\nAnswer: -20*c - 329","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18.374362 = -1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*z = 10, -3*m = -m - 3*z + 5. Suppose -6*d - 2*f = -m*d - 16, -2*d + 5*f - 13 = 0. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-9)*r)\/(r\/r**0))**(-10)*((r**(5\/7)\/r)\/r*r**(-8))**(1\/4) assuming r is positive.\nAnswer: r**(-2865\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 17*y - 66. Let t be x(-6). Let c be 5*4\/40*6. Suppose c*q - 5*z = 4126, 2*q - 5*z + 10*z - 2784 = t. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b - 72 - 53 - 12*b + 120. Let j(x) = x**2 - 6*x - 2. Let p be j(3). Is 20 a factor of z(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*s + 5, -s = 2*b + 39. Let x(l) = -l**3 - 11*l**2 - 11*l - 10. Let z(d) = -d + 5 - 18 - d**2 + 12. Let h be (-4)\/3*6\/(-4). Give b*z(w) + h*x(w).\nAnswer: -2*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/7 (b) 1\/5 (c) -48\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + sqrt(91)\/sqrt(847) + 1 + -6*(sqrt(39)\/(4*sqrt(3)) - sqrt(13))**2)*6.\nAnswer: -1109\/4 + 6*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 878774 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -282*h**2*j**2 + 2*h**2 - 710*h*j wrt j.\nAnswer: -564*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -1)\/(2 + -1). Suppose -5*s + s = -28. Let n(o) = 4*o - 1. Let w(f) = -12*f + 4. Let p(x) = s*n(x) + 2*w(x). What is p(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 2*n + 14 = -8*v, -4*v - 22 = -2*n. Let s be 48\/4*(-18)\/(-8). Suppose s = -5*p - 2*h, 2*h + 0*h + 17 = -3*p. Is v smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*220\/(-935)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 4) + 2 + 5 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/11 (b) -3.25 (c) -1 (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2.5. Let t = -0.1 - h. Let x = -7 - -12. Sort 1, t, x in decreasing order.\nAnswer: x, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**4\/24 - 3*c**2. Let k(f) be the second derivative of 7*f**4\/4 - 3*f - 2. Give k(v(x)).\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1565836491.\nAnswer: 3, 8719, 59863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2 = -v, -5*v + 0 = 2*g - 10. Suppose 0*j + j - 2 = 3*w, 4*w = v*j - 4. Let m(t) = j*t**2 + 2*t - 4*t**2 + 0*t. Give m(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 1 - 0)\/(-2). Let b be (12\/30)\/((-3)\/(-30)). Suppose b*c - 3 = 5. Solve -k + 4 = -c*a, u = -2*k - 3*k - 4*a + 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 d when four letters picked without replacement from {t: 2, d: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 6. Let f(i) = 1 - 5*i + i**j - 5*i**2 + 0*i + 0. What is the units digit of f(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30442, -23986, -17530, -11074, -4618?\n\"Answer: 6456*q - 36898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -183823636, -183823633, -183823630, -183823627, -183823624, -183823621?\n\"Answer: 3*g - 183823639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**2 + 16*i - 1748 = 0 for i.\nAnswer: -23, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + 0 + (sqrt(2)*2*-4)**2 + 5.\nAnswer: 8*sqrt(2) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 1)*(4 - 1 - 1) + 20 - 30 + 18)*(-r - r + 8*r) + (1 - 3 + 0)*(0 + 2*r + 0).\nAnswer: 32*r","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/5 and (-8)\/(-10)*20\/24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/9)*k**(-2\/11) assuming k is positive.\nAnswer: k**(-40\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 139667, 139492, 139315, 139136, 138955, 138772?\n\"Answer: -n**2 - 172*n + 139840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5180, -20852, -46966, -83516, -130496?\nAnswer: -187900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10188998 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: How many months are there in thirty-one fifths of a millennium?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -7)\/((54\/(-3))\/(-9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.55 + 105.45. Round g to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589879327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 9\/13 (c) -2140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1807 - 3?\nAnswer: 1804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(296\/(-13764)*-93)\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + (-1*sqrt(1250))**2).\nAnswer: -7512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 25*w - 28. Determine c(5).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-78) - (-41211)\/15561.\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q**3 + 12*q - 12. Let m(d) = -6*d**3 - 11*d + 11. Let s(k) = -5*g(k) - 6*m(k). Is s(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q - 3*q + q)*(12 - 5 - 56) as a + j*q and give j.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-1540)\/(-16)))\/(92\/(-230))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*y - t, 5*t = -0*y + 3*y - 36. Suppose -5*i - 133 = -2*r + y, -5*i = 2*r + 170. Calculate the lowest common multiple of 4 and ((-4)\/8)\/(2\/i).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 2, j: 1, u: 2, g: 1, o: 2}. Give prob of sequence xy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (528\/30)\/22*2\/(-8)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 72157 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 minus 222659?\nAnswer: -222723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1545.1 (b) 3.3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4*k)*(567*k - 104*k - 6*k).\nAnswer: -1828*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 59*g**2 + 210*g + 2092. What are the prime factors of y(-9)?\nAnswer: 17, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11151722 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 2*s = 4, -2*s + 8 = w - 6*s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**6\/40 + 5*w**4\/8 + 8*w**2 + 1. Let u(p) be the second derivative of c(p). Find the second derivative of u(n) wrt n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -173?\nAnswer: -10\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. Suppose -j = 3*j - 4*s + 20, -13 = 2*j - f*s. What is the units digit of (1 - j)\/(3\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(3*16\/(-8)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41980 + -86623\/2. Let o = 1365 + a. Find the common denominator of o and 91\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 2*(-1 - 0). Let l = 2 - 0. Let f(w) = w**2 + 4 - 4 - i*w**l. Let y(t) = -5*t**2. Give f(y(o)).\nAnswer: -25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/246440 and -53\/8540.\nAnswer: 1725080","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is g in g**4 - 77*g**3 + 150*g**2 = 0?\nAnswer: 0, 2, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-8)*(-8 - -7)*8. Suppose 84 = -n*x + 96. What is the remainder when 15 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23308*s + 23308*s + 254*s**4 + (s**4 - 2*s**4 + 2*s**4 + (1 - 1 + 2*s)*(2*s**3 + 3 - 3))*(1 + 0 + 1).\nAnswer: 264*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29450 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1810 - -1938. What is the remainder when p is divided by 64?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, m: 13}. Give prob of sequence mqqq.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -17 - 39) + 25\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6538 divide 2137926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(11)*-3 + 1))**2 + sqrt(11) + (sqrt(99)\/sqrt(324))**2 - -2*(-6*(sqrt(11) + 1) - (sqrt(539)*1 + sqrt(539) + sqrt(539)))**2) + -2.\nAnswer: 641*sqrt(11) + 586271\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j*x + 675*j - 259*x - 3 wrt j?\nAnswer: -x + 675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10138 = -6*b + 2282. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from {h: 2, n: 3, z: 7, g: 3, k: 2, o: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, n: 10}. What is prob of sequence nj?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35619243 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in 5\/3, -3, -5, -1\/2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8*(-15)\/(-1020) + 82\/119. Factor 0*o**2 + 6\/7*o**4 + 0 + n*o**3 + 2\/7*o**5 + 0*o.\nAnswer: 2*o**3*(o + 1)*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 216*x**3 + 2*x**2 - 3*x**4 + 21 + 22 - 42 - 9*x - 214*x**3 to f + s*x**3 + n*x**4 + m*x + j*x**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 - 19\/1*-1 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-29)\/21 + 8\/(-28). What is the second smallest value in p, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 23. Let b(a) = -2*a + 18. Let z be b(9). List the prime factors of 15\/g*(z - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/21)\/((-352)\/112)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3957\/2*v**3 + 44*v**4 - 1\/4*v**5 + 3654*v**2 + 0 + 22707\/4*v = 0.\nAnswer: -1, 0, 3, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5\/7 - 13*f**4\/7 + 34*f**3\/7 + 58*f**2\/7 - 33*f\/7 - 45\/7 = 0. Calculate f.\nAnswer: -15, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from {o: 2, r: 1, b: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 4*v + 6. Let h be k(5). Let n = 1 + -1. Let o be n\/2 + 3*3. Calculate the greatest common divisor of h and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 69573140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 33*b - 44*b - 15*b. Let q(h) = -6*h**2. Calculate k(q(n)).\nAnswer: 156*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 2.5644 (c) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 3:53 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 6:59 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.9 - 51.1. Let j = 63 + z. Let v = -24 - -14. Which is the closest to j? (a) 5\/2 (b) v (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 less than -0.5?\nAnswer: -825.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9*f + 6. Let g(m) = 19*m - 13. Let v be (0 - 1)\/(7\/91). Let i(d) = v*w(d) - 6*g(d). Let q(j) = -j. What is i(q(p))?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/2 - (1 - 5). Suppose -11*i = -s - 18. Factor -22*z**2 + 4*z - 12*z**2 + 4*z**i + 26*z**2.\nAnswer: 4*z*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -110.748 - -111. Let j = o + -0.2286. Round j to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -15, 9, 429 in ascending order.\nAnswer: -15, -4, 4, 9, 429","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: (-40)\/((-1760)\/66)*-2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 8. Suppose 3*o = a*o. Solve -3*j + o*j = 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 + 5*w - 7. Calculate h(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -575 = -5*s + z + 65, 1664 = 13*s - 5*z. Suppose 0 = -3*f + h - 5*h + 304, 0 = 4*f + 4*h - 400. What is the greatest common factor of s and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -37, -69, -101, -133, -165?\n\"Answer: -32*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2572 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 963 divided by -866.\nAnswer: -963\/866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.24097 centuries in millennia?\nAnswer: 7.924097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 6*o - 1. Let v be u(5). Let h(f) = -3*f + 2*f**2 + 3*f**2 + 1 - f**3 - 3. Let g be h(v). What is the highest common factor of 4 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**3\/6 + 11*i**2\/2 - 2*i. Let n(l) = -l - 2. Let w be n(-2). List the prime factors of p(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7885?\nAnswer: 5, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptn when three letters picked without replacement from {n: 2, t: 5, p: 2}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -636231, -636272, -636341, -636438, -636563?\n\"Answer: -14*l**2 + l - 636218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7553, -15587, -23613, -31625, -39617, -47583?\nAnswer: -55517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i + 6. Let t = 0 + -5. Is 9 a factor of k(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 15 = v, -v - a - 2*a = -15. Solve 4*d + v*d - 16 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2468052*b**2. Let v(c) = 10*c**2. Calculate g(v(u)).\nAnswer: -246805200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1. Let s(z) = z - 1. Let i(w) = -w**3 - 5*w**2 - 6*w + 1. Let n be i(-3). Calculate n*s(q) - 3*t(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -227\/3? (a) -0.1 (b) 644\/15 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*o - 1248 - 1218 + 906 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 528 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2437463.7 rounded to the nearest ten thousand?\nAnswer: 2440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 + 425*w**2\/2 - 8151*w - 518364.\nAnswer: -(w - 374)*(w - 84)*(w + 33)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2485.41 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -2*w**7\/147 - 4*w**6\/105 + 2*w**5\/35 + 4*w**4\/21 - 2*w**3\/21 - 4*w**2\/7 - 15*w. Solve d(l) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1760 - -1760. Suppose -2*p = 5*o - 9, -2*p = -o - 0*o - 3. Solve -5*x + 2*w + 15 = n, -x - 3*w = -p*w - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 248, 187, 126, 65, 4, -57?\n\"Answer: -61*d + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17200 = 17*r + 1067. Solve 3*w = 952 - r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*((sqrt(72)*-1)**2 + 2 - sqrt(72)) + -4)*4*3 + -3.\nAnswer: -5475 + 432*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - 1) + -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + (sqrt(13) - sqrt(1053)*-1) + sqrt(91)\/(sqrt(7) - 1*sqrt(7)*3)).\nAnswer: -57*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -8 in ascending order.\nAnswer: -8, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34\/3 - 71\/6. Which is the nearest to -2? (a) -0.3 (b) s (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**3 + c**2 + c - 10. Suppose 0 = -3*j + 2*j - f, 8 = 5*j + f. Let v be b(j). Solve 0 = -6*x + 50 - v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/200 and 41\/32?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y**3 - 8 + 2*y**4 - 8 - 9*y**3 to o*y**4 + r + v*y**2 + h*y**3 + n*y and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - j**2 + j. Let i(q) = 2*q**3 - q**2 + 2*q - 1. Let k(x) = -c(x) + i(x). Let p(z) = -3. Calculate 2*k(g) - p(g).\nAnswer: 2*g**3 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 644*m - 1587. Determine n(5).\nAnswer: 1633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*t, 5*y + t + 30 - 6 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 0.5, 10.5, -0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 3*j + 2. Let d be u(4). Let w(i) = 4*i. Let n(x) = x. Let m(s) = -14*n(s) + 3*w(s). Is 4 a factor of m(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 5 = 8*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9941688 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 19. Let k be (3\/(-1))\/((-3)\/z). Suppose -l + 2*c - 6 = 0, 4*l - k*c - 12 = -4*c. Calculate the smallest common multiple of 5 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-8))\/(2 + 434\/(-216)). Let h be (-1)\/(-3) + (-6)\/v. Factor -2\/9*i + 0 + h*i**2.\nAnswer: 2*i*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 48 + 54 - 107 + m. Determine w(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 4\/3*c**3 - 1\/2*c**2 + 3*c + 1\/4*c**4 - 17. Give u(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39509.\nAnswer: 39509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 4 - (-450)\/(-55). Which is the third smallest value? (a) -2\/5 (b) y (c) -0.5 (d) 2\/9 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 3. Let z be g(-5). Let k(l) = -8*l - 3. Let h be k(z). Let m = h + -8. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1491 and 419397.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*g*r*y**3 + 16*g*y**3 + 2*g*y**2 wrt r?\nAnswer: -13*g*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (20\/(-40))\/(2\/(-7796)*1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -3*w**6\/35 - 3*w**5\/35 + 10*w**4\/21 - 8*w**3\/21 + 35*w. Factor x(y).\nAnswer: -2*y*(y + 2)*(3*y - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from {o: 2, m: 2, z: 4, e: 1, k: 3, q: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) + -4*sqrt(100))\/((1*sqrt(45))\/sqrt(9) + sqrt(5) + sqrt(5)))**2.\nAnswer: 245\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*a**3 + 231*a**3 - 464*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -29*r**5\/60 - 18*r**2. Let p(g) = -270*g. Let j(w) = 51*w. Let b(u) = 16*j(u) + 3*p(u). What is t(b(x))?\nAnswer: -1044*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 25774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2078247.\nAnswer: 3, 509, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2561*q - 1778 + 1778)*(-2*q + 0*q + 5*q) - q**2 + q**2 - q**2.\nAnswer: -7684*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7344) - (sqrt(7344) + 2*sqrt(7344)))*1)\/(sqrt(147) - sqrt(147)*-1*4).\nAnswer: -24*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b**3 - 204*b**2 - 21*b + 243. Calculate the remainder when 533 is divided by i(-29).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**5 + 3*g**4 - 165*g wrt g.\nAnswer: 40*g**3 + 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 3:58 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32477332 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -z + 10. Suppose -2*v = -6*v + z. Suppose 2*j = -6 + 12. Solve j + 5 = v*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0412865 times 452?\nAnswer: 18.661498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -242565 + -3?\nAnswer: -242568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -209, 3, 0.2, -0.3, -1\/8 in decreasing order.\nAnswer: 12, 3, 0.2, -1\/8, -0.3, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 14*n**2 + 13*n + 30. Let v be z(15). Put -2, 3, v, -5 in decreasing order.\nAnswer: 3, v, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l + 67. Let t be v(10). Let m = t + 57. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31521 is divided by 104?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9 - -7)*(-4 + 3 + -3). Let u = -61 - l. Factor -2*c**4 + 36*c**u - 16*c**3 + 7*c**4 + 15*c**2.\nAnswer: 5*c**2*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 7:13 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from mmmmgmmmmmmmmmmmmm?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 2*d**2 - 8 + 8)*(1585 + 79 + 58 - 219) in the form a*d**2 + r + x*d and give r.\nAnswer: -18036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*1\/18)\/((-4)\/(-32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p - 3. Suppose 0 = -p*g + 138 + 2. Suppose -3*k = 5*s - g, -3*k - k = -s - 62. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30.69 + -29.4. Let a = x - 1. Round a to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - (2 + 1 + sqrt(1100)))*-6 + (sqrt(1100) + 0 + -4 - sqrt(1100) - (sqrt(1100) + 1)*-4))**2.\nAnswer: 1440*sqrt(11) + 17924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - i**2 - 11*i + 8. Let m be f(4). What is the third derivative of -35 - 13*p**6 - 45 + 80 - m*p**2 wrt p?\nAnswer: -1560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**2 - 12 - 2 + 5*c**2 - c. What is the tens digit of w(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11935337405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2505 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**4 + 23*y**2 - 23*y**2 + (-5*y**4 - 3*y**4 + y**4)*(3 + 3 - 3).\nAnswer: -17*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 101152, 202302, 303452, 404602, 505752, 606902?\n\"Answer: 101150*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7 (b) -2 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114 - 2452104?\nAnswer: -2452222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3336 - 3335.7. Let f = -2.6 - -3. Let b = 0.06 - 0.46. What is the third smallest value in c, f, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22714463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 7*l = d - 0 - 15 - 5, -5*d - 18*l = -100 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l - 768000 = -24*l. What is l rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o - 5. Let a(u) = -7*u - 11. Let d(b) = -2*a(b) + 5*j(b). Let s = -2 - -2. Give d(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 41 = -125. Let u = w + 83. Solve 13 = m - 3*h, -3*m + 19 = -u*m - 4*h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(2\/(-8)*-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49129472?\nAnswer: 2, 7, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -41. Calculate the remainder when 41 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 7*i - 3. Is i - (-36)\/((-2)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*j*p**4*y + 9*j*p**3 - 5*j*p**2*y**3 + j*p*y - p**4*y**3 + p**2 wrt p?\nAnswer: 120*j*p*y + 54*j - 24*p*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(1467465\/(-1900))\/271?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 2.884 and 20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 8\/(2\/1). Let b = m - 6. Let c = 0.06 + -0.56. What is the nearest to -2 in c, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 19 = -5*d - 3, -3*r = 4*d - 13. Suppose -2*j = -7*j + 20. Solve -5*x = 15, -j*w + x + d*x = -35 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2. Let u(w) = w**2 - 1. Let m(t) = -6*t**2 + 5. Let b(r) = -m(r) - 5*u(r). Determine b(d(i)).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -602814?\nAnswer: 2\/100469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10.9303 and 0.4.\nAnswer: -10.5303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8657 + -8658.5221. What is t rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12295444439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 47*a**4\/2 - 5151*a**2\/2 - 3*a + 166. What is the first derivative of g(h) wrt h?\nAnswer: 564*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 11 = 3*a. Suppose -2*f + 5*h + 29 = 0, f + 56 = 4*f - 5*h. Suppose 8*c = 123 - f. What is the highest common factor of a and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 18 - 34 = 0. Let i be (-130)\/50 + (t - 2). Which is the biggest value? (a) 5 (b) 0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - r**2. Suppose 5 = 2*a + 2*h + 1, -h + 6 = 5*a. Let b be k(a). Suppose b = -4*y + 2*y. What is y rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-2052)\/(-323))*(-8)\/(-10) + -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -30 - (28 - 57) - (-1 - 3). Let p(c) = c - 8. What is p(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 45 = -c, -3*s - c = -6 - 19. Calculate the remainder when s is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 11:24 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 22. Let a be c(6). Suppose -a = -4*p, 0*y + 4*p = 3*y - 14. Suppose -y - 38 = -3*r. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 526832 and 2634160.\nAnswer: 2634160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/z**13))\/z)\/z**(-2\/9)*(z*z\/(z**(1\/5)*z))**48 assuming z is positive.\nAnswer: z**(2323\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 228?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5)\/(3\/25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 2:38 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1512 + 915 - 1971*b**2 + 203*b**2 - 927 wrt b?\nAnswer: -3536*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1456 and 819?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.33316169 to 1 decimal place.\nAnswer: 31.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 39*t**3 + 3*t**2 - 75*t + 194. Determine i(4).\nAnswer: 2438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5\/5 + 33*r**4\/5 - 33*r**3\/5 - 3437*r**2\/5 - 15648*r\/5 - 12276\/5 = 0. What is r?\nAnswer: -31, -6, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + j - 5*j**4 - 2 + j**4 + 2 - 2*j**4 + 3*j**4 - 2*j**4 + (2*j - j - 2*j)*(3*j**3 + 2*j**3 - 4*j**3) - 2*j**2 - 15844610 - j**4 + 15844589 - 8*j**4.\nAnswer: -15*j**4 - 2*j**2 - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*j - 150 = -8*j, -2*f + 97 = -j. Let s = -57 - -302. Calculate the highest common divisor of f and s.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569710 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2084276 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-22)\/(-5))\/(2\/(-10)). Let c be 26\/(-143) - 70\/u. Let l(y) = 0*y - 5*y - 6 + y**c + 0*y + 1 + 3*y**2. Determine l(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r + 68. Calculate o(-3).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -204 - -0.5\nAnswer: -203.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*i**3*t**2 + 2*i**3*t - 119*i**2*t - 21*i*t**4 - i wrt t.\nAnswer: 28*i**3 - 252*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*a - 7786936 + 7786937 - 297*a - 36*a to z*a + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 136923.536 * 0.1\nAnswer: 13692.3536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 86956.721 rounded to the nearest one hundred?\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -29939540 equal to -29939532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-5)\/100 + 1\/(-5)). Suppose m*p - 4 = -5*x, -3*x - p = 1 - 2. Solve 4*q - 4*w + 4 = x, 5*w = -3*q - 2 - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.28 - -0.08. Let l = 3.44 - -0.36. Let r = 1.2 + l. What is the closest to 10 in 4, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -2, 2, 5, -202, -33 in descending order.\nAnswer: 5, 2, -2, -4, -5, -33, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w**3 + 1210*w**2 - 11543*w + 1. Give j(10).\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -9*v + 10. Determine q(8).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*i**5 - 105*i**5 - 114*i**4 + 33*i**5 + 2*i**2 + 40*i**5 + 124 wrt i.\nAnswer: 60*i**2 - 2736*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.5 + 0. Let j = 2 - z. Let h = -0.12 + -0.88. Which is the closest to -0.1? (a) h (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360 + -373 + (20 - -3) + (17 - 1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-2440)*(-9 + (-22)\/(-22))?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 4, 3*v - w = v - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10336 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*i - 534 = 0, -2*n = -7*n - 5*i + 555. What is the remainder when 863 is divided by n?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 443412 = 18145420. Let d = v - 3352792. What is d rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(121)*1*-2)\/((sqrt(220)\/sqrt(4))\/sqrt(5) + sqrt(88)\/(sqrt(16)\/sqrt(2))).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/32)\/((301\/36)\/43).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149250.74 rounded to the nearest ten thousand?\nAnswer: 1150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4624, -3513, -2402, -1291?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 356*i**3 - 2 - 110*i**3 - 25*i**4 + 2*i**2 - 119*i**3 - 127*i**3 + 6*i in the form p*i + r*i**2 + k*i**4 + w*i**3 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - (sqrt(22) + (sqrt(220)*5)\/sqrt(10) + sqrt(22) + sqrt(22)))\/(sqrt(33)\/(sqrt(33)\/sqrt(11))))**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 m when three letters picked without replacement from sptsvstppstsm?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 1 + 4)*(u + 8*u - 2*u).\nAnswer: 182*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (sqrt(88) - sqrt(88)*5))\/sqrt(8) + sqrt(11) + 2*1*sqrt(11) - (-1*(sqrt(539) + 1) - (sqrt(539) + (-3 + sqrt(539) + -2 - sqrt(539)))**2).\nAnswer: -55*sqrt(11) + 565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h = -37281 + 100323. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 + 152. Is 24 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 4*o - 16, -2*x - o = 5 + 6. Let r be (2\/(-1) - x) + -2. Solve 20 = t + r*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9273589*p**4 + 4*p**3*z + 2*p**2*z + 4*p**2 - 1326*p*z - 277*p + 2*z - 1 wrt p?\nAnswer: -222566136*p + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -292 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4514 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 41884492.1663 - -0.2\nAnswer: 41884492.3663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 178, 204, 242, 292?\n\"Answer: 6*t**2 + 8*t + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j + 6. Let a(h) = -30*h - 2 - 15 + 10*h. Calculate 6*a(v) + 17*t(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3963 = -7*j - 3823. Let a be 3\/(-9) - (-260)\/6. Suppose a = w - 35. Calculate the remainder when w is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -l + 4. Suppose -5*n = -b + 18, n - l - 151 = -4*b. What is the greatest common divisor of 57 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*(sqrt(19) - ((sqrt(19) + 1 - sqrt(19)) + sqrt(19)) - sqrt(19)) + -2 + -4.\nAnswer: 12 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -22702911 greater than or equal to -22702913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-21)\/45)\/(9 - 414\/45)*6. Solve z*b + 21*b + b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 5*y + 4 = 0. Suppose -2*i = -2*u - 42, i + y*u - 26 = -2*u. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3044*j**2 + 561 with respect to j.\nAnswer: 6088*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (3\/8*2)\/((-13)\/(-1144))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 1, m: 2, n: 2, h: 1}. What is prob of picking 1 m and 1 n?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5450526 (base 7) to base 2\nAnswer: 10100011000001011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1489 is divided by 149?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -360, 5 in increasing order.\nAnswer: -360, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1957 - 1958. Let g = 0 + -0.1. Let m = -0.575 - -0.175. What is the nearest to y in -0.5, m, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*75\/(-35) - 13. Let u(x) be the third derivative of -x**4\/24 - x**3\/3 - 5*x**2. Let o be u(-7). Solve -r = i*g + 5, -4*r + o*g - 17 - 3 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -262.\nAnswer: -8\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -456428, -456432, -456438, -456446, -456456, -456468?\n\"Answer: -h**2 - h - 456426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((6160\/(-6325))\/(-56))\/((-6)\/15)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1257\/156 - 2\/(-8) - (1647 - 1641).\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5685\/1516 + 17\/(-4))*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*sqrt(832)*-3*-5)**2.\nAnswer: 168480000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.817 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m - 56*m + 12*m + 15*m - 53*m + 14*m.\nAnswer: -54*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 - -151. Determine r, given that o*r**2 - 48 + 10*r**2 + 15*r**2 - 33*r**2 + 5*r**2 = 0.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7499*t + 187 = 7510*t. What is the remainder when 0 - 4\/(-2) - -77 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21 + -14 - (-3 + 10). Let f(r) be the third derivative of -4*r**2 + a + 0*r - 1\/24*r**4 + 0*r**3. Let d(n) = 2*n**2. Calculate f(d(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzzpyzzttz. What is prob of sequence dt?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or 1032?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2528 and 2528?\nAnswer: 2528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.061203 * 1268\nAnswer: -77.605404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-1))*u\/u**7)\/(u**(-5)*u**(-4)))**16 assuming u is positive.\nAnswer: u**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*a = -1708, 4*s + 0*a + 1717 = -a. What is s rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/45760 and -181\/5280.\nAnswer: 137280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14536890, -14536886, -14536882?\nAnswer: -14536878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k. Let f be (-2 - (-286)\/10) + (-30)\/50. Let a(u) = 5*u + 10 + 16 - f. Determine c(a(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -10 + 2*s - s + 5*s. Let f(r) = -r - 2. Let o(p) = -3*p + 18. Let z(l) = -4*f(l) - o(l). Let t(q) = -6*m(q) + 5*z(q). Calculate t(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**3 + 10*z**2 + 6*z + 7. Let l be x(-11). Let m be (l - (4 - 5)) + 3. What is m rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -3, -4, 0, -202 in increasing order.\nAnswer: -202, -47, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -54. Let a(o) = 2*o**2 - 3*o + 7. Is a(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (2\/(-9))\/(-2). Let o be (5\/(-20))\/(3\/4). Which is the second smallest value? (a) o (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-7))\/((-8)\/28). Is (v\/(-4))\/((-19)\/(-14174)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 214971.\nAnswer: 429942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -17*a**3 - 7*a**2 - 6*a + 7. Let r be (6\/(-4))\/(18\/48). Is v(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 0*h**3 + 0 - 3*h - 3\/80*h**5 + 0*h**2 + 0*h**4. Let s(a) = 0. Calculate a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 16. Let y = p + 2. Which is the closest to 0? (a) y (b) -2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/135*3\/(54\/50).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(456\/((-1083)\/57)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 21*z**2 + 21*z + 33. Let i be d(22). Which is greater: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.37 + 0.54. Let d = -931.03 - -925. Let g = j - d. Round g to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86253 is divided by 114.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t - 144*t + 29*t)*(3*t**3 - 7*t**3 - 6*t + 6*t**3) in the form d*t**3 + o*t**2 + c + u*t**4 + m*t and give o.\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 5)*(76*b + 69*b - 146*b + 6 + 2*b**2).\nAnswer: -6*b**2 + 3*b - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.017, -5\/3, 0.1 in descending order.\nAnswer: 1, 0.1, 0.017, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/38695 and 121\/250.\nAnswer: 1934750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-612)\/36 - (6 - 3029) is divided by 251?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 958 and 2395?\nAnswer: 4790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - 11100001?\nAnswer: -11010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, x: 7, c: 2, s: 1}. Give prob of picking 1 o and 3 x.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/3 + 4. Let g(r) be the first derivative of r**2\/2 - 3*r - 3. Let i be g(0). Which is the second smallest value? (a) -3\/4 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -25. Let u(g) = -16*g - 437 + 393 - 15*g - g**2. What is the units digit of u(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w + 0 + 0)*(3 - 2 + 1)*(-23*w**2 + 0*w**3 + w**3 + 15*w**2) - 241*w**2 + 241*w**2 + 262*w**4 as i + r*w + k*w**3 + x*w**4 + q*w**2 and give x.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60451*v**2 + 44027*v?\nAnswer: -120902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 46. Suppose -4*f = -34 - j. Calculate the remainder when 11 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2673 + 3672 = 0. Let t = -581 - i. List the prime factors of t.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 8*f + 10 = -12*f, -4*f - 30 = -5*x. Let u be (2\/x)\/(594\/540). Suppose 0 + 8\/11*g**2 + u*g**3 + 0*g = 0. What is g?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1573 is divided by 507?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - 6*g - 2*g**5)*((-3 + 4 - 3)*(0 - 5 - 1) + 7 - 5 + 3).\nAnswer: -34*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1249, 1270, 1305, 1354, 1417, 1494, 1585?\n\"Answer: 7*q**2 + 1242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 500814867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.063 or 1?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 5*x - 11. Give h(-10).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 128, 287, 510, 797?\nAnswer: 1148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 345315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -27776 divided by 112?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 148\/(-20) + (-4)\/(-10). Let u be 2\/j + 120\/28. Let g(v) = -11*v. Let p be g(-1). Solve -3*i = u*w + 2*i + p, -4*w + 7 = -i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + 4*(sqrt(176) + sqrt(176)*-1))*1)**2 - (sqrt(132) + 1*2*sqrt(132))\/(5*sqrt(60)\/sqrt(5))) + -2.\nAnswer: -3*sqrt(11)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43663880 to the power of 1\/3, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.035\nAnswer: 0.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 13, -2 in descending order.\nAnswer: 13, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s + 9 = -111 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5597212249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000011211122121 (base 3) to base 12.\nAnswer: 4a06a74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (12\/18)\/((-10)\/(-3) - (18 + -15)) is divided by (5 + 0)*4\/5 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2652 divide 58783315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(192)*-2 + 0 + (sqrt(192) + 1 - sqrt(192)) + 3)**2 + (4 + ((sqrt(3) - sqrt(3)*2) + -3 + sqrt(3) - (sqrt(36)\/sqrt(3))**2))*-6.\nAnswer: -128*sqrt(3) + 846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 186a5 + 0?\nAnswer: 186a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.93? (a) 278 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*d = 121*d + 168*d + 658*d - 13932 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, j: 2, k: 3, i: 1, e: 3, t: 1}. Give prob of picking 1 p and 1 t.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*t + 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26166861.\nAnswer: 3, 7, 138449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-26)\/2)*(-2)\/(8\/(-28))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-15)*(-5)\/2. Suppose d*a - 438 = -2*a - 2*m, -2*a + 207 = 5*m. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 8.9. Suppose 4*q + 9 = -11. Let g be (-2*1\/9)\/(176\/(-198)). Sort q, g, s in decreasing order.\nAnswer: g, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -89353374*u + 26730316 wrt u.\nAnswer: -89353374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 2*l - 4508 = 0. Suppose -l = -5*d + 2043. What is the units digit of (-6)\/(-33) - d\/(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -11*s - 45. Let l be r(-4). Does 23 divide 51150\/198 + (2\/(-3))\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + p**2 - p + 14.\nAnswer: p**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 3*u + 10*u)*(-41 + 89 + 110) to the form t + p*u and give p.\nAnswer: 2212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 755401411 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -9*g**3 + g**2 + 5*g + 3. Let k be n(-3). Suppose -3*c - 5*m + 188 = 0, 4*c - 4*m + 8*m - k = 0. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 4030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 13811\nAnswer: -5\/13811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*p + 16 = 0, a - 22 = -21*p + 66 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*s + 50*s - 27*s + (2 - 2 + 3)*(-s + 2 - 2))*(15*s - 27*s + 41 + 14*s) to the form p*s**2 + w*s + l and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w - 5. Does 3 divide d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 333 + 368 = 4*x, -x - 61 = -3*n - 78 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 + (-259)\/(-4). Calculate the greatest common divisor of c and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8 - 2 - 4 + 2*d**2 + 2. Let y(s) = -5*s**2 - 9. What is 9*g(k) + 4*y(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -477*b**5 - 86*b**3 + 292*b**2 - 64853603*b wrt b?\nAnswer: -9540*b**3 - 516*b + 584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259, 517, 775, 1033?\nAnswer: 1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 10. What is the second derivative of o*y**5 + y - 6*y - 7*y**5 wrt y?\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2758*q = -2751*q - 826. What is the lowest common multiple of q and 3?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 20 = -2*y, 0 = 3*y - 5*h + 12 - 17. Suppose -v - i + 590 = -y*i, 0 = -2*v + 3*i + 1200. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -187 * -4057.\nAnswer: 758659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*1\/(-6) - 5\/(-3). Suppose 2*u - 55 = -d, -2*u = -i*d - 0*d - 46. What is the remainder when 151 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -421, -431, -441, -451, -461, -471?\n\"Answer: -10*f - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 2. Let x be t(2). Suppose x = -11*a + 10*a + 20. Solve -3*u = u - a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 6, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1554 divided by 111?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.5801 + -26.235. Round x to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 30 = -100*v + 94*v, 4*u + 4*v - 20 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/774367?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*q + 0*q**4 - 8*q**4 + 5*q**4 + (2*q - 2*q - q)*(3*q**3 - q**3 - q**3).\nAnswer: -4*q**4 + 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 10*f**2 - f + 1. Let p be y(10). Let n = p - -6. What is the units digit of -3 - (4 + 2)*n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673561076.\nAnswer: 2, 29, 5806561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 11. Let u be (-6 - -7)*(-1 - -1). Suppose -c = -5*k - 16, u = -0*c - m*c - k - 20. Put -1, 3, c in ascending order.\nAnswer: c, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 n, and 2 r when four letters picked without replacement from rvcsssnchcvchrn.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1314 divided by 146\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 1551?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(170)\/(sqrt(30)\/sqrt(3)) - (sqrt(17) + (6*(sqrt(17) + -1))**2)).\nAnswer: -653 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 114? (a) 0.4 (b) 0.2 (c) 86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.4183 nanograms?\nAnswer: 0.0000000000074183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12774 by 3.\nAnswer: -4258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290870 a multiple of 1070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 68922, 68919, 68916?\n\"Answer: -3*o + 68925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7619622 is divided by 488?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 22*a + 5588. Let z = a - -508. Factor 4\/3*d - d**3 + 0 + z*d**2 + 1\/3*d**4.\nAnswer: d*(d - 2)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95894*d**2 - 97743*d wrt d?\nAnswer: 191788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(187) + sqrt(187)*2))\/(sqrt(396)*1).\nAnswer: 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - 95.17.\nAnswer: -142.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04974367 to 4 decimal places.\nAnswer: -0.0497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-64)\/10)\/((-2)\/35). Calculate the greatest common divisor of j and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -21) + 1 + -2 - 1 - (5 + 102)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4632*y**3 - 2*y**2 - 5*y - 282 wrt y?\nAnswer: -27792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 101*r - 97*r + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 3*l**2 + 2*l + 4. Let u be g(4). Let n(m) be the second derivative of -m**5\/20 - m**4\/3 - m**3\/6 + 32*m. Give n(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27100 to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0, 5, 236, -14 in descending order.\nAnswer: 236, 5, 0, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 127590 = -2*f, -4*f + m + 199356 + 55866 = 0. List the prime factors of f.\nAnswer: 2, 3, 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {j: 2, n: 3, x: 8, t: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 3*y - 14. Let h be u(-5). Sort -3, 5, h in ascending order.\nAnswer: h, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 16*p**2 + 6*p - 23. Let w be n(3). What is w rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r + r**3 + r**3 - 5*r**2 + 29 - 4*r**3 - 30 = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 greater than 3042\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.19 + 0.09. Suppose 2 = 4*h - 6*h. Put h, d, 4 in descending order.\nAnswer: 4, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -3883*i**2\/2 - 79*i + 1869. Find the first derivative of f(x) wrt x.\nAnswer: -3883","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/20)\/((-42)\/(-60)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2547 to three decimal places.\nAnswer: 0.255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 797 - 3?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*40\/(-45)*12\/16. What is the highest common divisor of l and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -3, 61, 143, 249, 385?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 4*u - 6. Let j be n(9). Suppose 3*a - j = -2*a. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*d - 20, 13*d - 11*d = -3*y - 12. What is the closest to d in -0.2, -0.5, -0.1, -14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9013309 is divided by 4527?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a - 13*a + 18*a - 5*a - 13*a.\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 31*q**2\/2 - 11015*q\/6 - 5647 = 0.\nAnswer: -3, 11294\/93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.1, 3, 5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b = 18*b + 7630. Let c be b\/10 + 3\/(-5). What is the greatest common factor of c and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0565*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2490 - 2255. Calculate the remainder when i is divided by 88.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 671*f - 47. What are the prime factors of m(3)?\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r. Let p(o) be the third derivative of o**8\/4032 - o**5\/20 + o**4\/4 - 14*o**2. Let d(s) be the third derivative of p(s). Give y(d(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 2:07 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19742 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1094533776?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 2*s + 17. What is q(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 6770?\nAnswer: -6771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/60*(60\/16)\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-2) - (-5)\/(-15)*9. Let b(g) = -g**3 - 6*g**2 - 2*g - 10. Let f be b(o). Solve -f*q - 3*q + 20 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*r - 16*r**3 - 21*r**3 - 2*r**3 + 17*r**3 wrt r?\nAnswer: -132*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42845 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -943469 by -15991.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**2\/7 + 17312*w\/7 + 2699196 = 0.\nAnswer: -903, 5231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1 + 3 = -2*w, -4*w + 4*p = -16. What is the second derivative of -12*f**w + 12*f**2 + 39*f - 26*f + 20*f**3 wrt f?\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10350 and 1857845700.\nAnswer: 10350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -377 + 380. Suppose 24 = -c*j + 6*j. Suppose -5*b + 8 = -7. Solve b*s - s = j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-2)*66260\/29817\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 5:08 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 2*w**2 - 3*w - 3. Let i be n(-2). Suppose -5 = 5*z - 0, -2*z + 13 = i*t. Find the second derivative of 3*y - 6*y + t*y + 3*y**5 + 2*y wrt y.\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592420 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 1386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.844937 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/10 and 53\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 + ((-945)\/198)\/((162\/27)\/(22\/(-6)))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*w - 6 = 0, -2*w - w - 22 = -4*r. List the prime factors of (-3 - (-6)\/r)*-10.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -44 - 36 + 72 + r**2 - 2*r. Let u be v(-2). What is the nearest to 0.1 in u, -2, -2\/23?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -587*d + 649*d = 5270. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 76 = -3*v, 3*x = -4*v - 0*v + 98. List the prime factors of (-2)\/6 - 14\/(-12)*v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490*f = 3405*f - 230285 for f.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.3 + -1.9. Let x = -48 + 48.438. Let w = u - x. Round w to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 177 + 17?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 41 - 7. Let l = j + -10. Suppose -r = 2*p - l, 36 = 4*r + 2*p + 2*p. Solve -h = -x + r*x, 6 = -2*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k + 12. Suppose 10 = s + 4*s. Solve -2*m + k*m = s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 4458?\nAnswer: 8916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 15 = -3*i, -5*i + 3*i - 6 = 0. Suppose p + 3*m = -60, 5*p + g*m = -m - 300. Let y = 91 + p. Solve -6 = 5*q - y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1203223601.\nAnswer: 29, 41490469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 16) to base 9\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -261 - -1a?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22458298697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((39\/(-3))\/624)\/((-3)\/9)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.69 (b) 10\/11 (c) 2\/23 (d) -50 (e) 1\/5 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 1, 31, 122, -1\/2 in ascending order.\nAnswer: -1\/2, 2\/11, 1, 31, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/6? (a) -2 (b) 3 (c) 17 (d) -4 (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 3*s + 18. Let d = s - -6. Solve k = -2*j + 4*k - 5, d = 3*j - 5*k + 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5016*s**2 + 10045*s**2 + 2*s**3 - 5 - 18*s**3 - 5025*s**2 to the form v*s**2 + q*s + a*s**3 + f and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 10, m: 4}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y + 8. Let x = 11 - 6. Let l(i) be the first derivative of -i**2 - 5*i + 1. Let u = -2 + 10. What is u*l(b) + x*r(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-170)\/51*12\/(-10)*122\/(732\/(-45))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s**2 - 13*s - 19. Determine d(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*j*n**3*y - 59*j*n**3 - 191076*j*n**2*y - j*n**2 + j*y - 38*n**3*y - 250*n**3 wrt n?\nAnswer: 90*j*y - 354*j - 228*y - 1500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - sqrt(121)*1*-6 - 1*sqrt(121)*1)\/(sqrt(176)*4*2).\nAnswer: 3*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 77409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y - 5. Let c be (-12)\/9 + 1 - (-80)\/24. Let a(i) = -1 + 4*i - 2*i + 1 + 4. Give c*q(m) + 4*a(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, h: 7}. Give prob of sequence hh.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46085223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 + 84. Suppose -40 = 3*w - 7*w - 4*f, -2*w + 2*f = x. Solve 0 = -z + w*z - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -14252?\nAnswer: -1424f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21422315 divided by 186281?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*c - 7*c**3 + 16*c**3 + 18*c**3 - 5*c wrt c?\nAnswer: 162*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -2\/3 (c) -1\/4 (d) 43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13561\/3 or 4521?\nAnswer: 13561\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r + 9. Let w(g) = 900*g - 894. Let v(z) = -9*f(z) + w(z). What is the derivative of v(c) wrt c?\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q**3 + 4*q**2 - 9*q + 21. Let o(f) = 4*f**3 - 2*f**2 + 4*f - 10. Let b(m) = 3*c(m) + 7*o(m). What is b(4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 7 + 33 = 0. Let r be c - (-68 + 0 + 4). Calculate the greatest common divisor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 0.018 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -2. Let f be 0\/((q + -1)\/(-3)). Let a(t) = -t - 4 - 2 + 2 - 4. What is a(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(3\/(-30)*-2). Let h(s) = s**3 + 5*s**2 - 5*s + 1. Let m(n) = -n**3 - 3*n**2 + 3*n - 1. What is v*m(i) - 3*h(i)?\nAnswer: 2*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*f + 17. Let t be (-3 + -8)*1*f\/(-1). Let z(u) = -8*u**2 - 6. Let l(q) = -15*q**2 - 11. What is t*z(i) - 6*l(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 15862 = -n. Let s be (33\/(-8))\/33 + 16249\/8. Let b = s + n. What is b rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377, 750, 1113, 1460, 1785, 2082?\nAnswer: 2345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**2 - 198*f + 408 = 0.\nAnswer: -68, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**3 + 10*z**2 - 3*z - 1. Give d(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2808 = 10*r - 4*r. Suppose 4*b = -4*a - r - 36, -5*a - 500 = 4*b. Let l = 192 + b. What is the highest common factor of l and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 21. Let l be f(-18). Sort -21, -4, l, -5 in increasing order.\nAnswer: -21, -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4174693069524\/3665 + 1139070422. Let i = c + 3\/733. Which is smaller: 7 or i?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n. Let r be q(-6). Let f(y) = -7583*y - 113749. Let p be f(-15). Sort r, -6, p in descending order.\nAnswer: p, -6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*d + 76*d - 192. What is the remainder when d is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*n - 2*n = 0, -2*z = -n + 3. List the prime factors of (-1)\/(3\/((-12)\/z)) + 283.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + 2*l - 6*l)*(5 - 5 - 5*l**2) - 8087*l**3 - 30686111 + 30686111 as x*l**2 + b + n*l**3 + w*l and give n.\nAnswer: -8077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32428 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201011 (base 5) to base 8.\nAnswer: 14355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(1210))\/(-2*sqrt(405)*-5 + sqrt(405))*-3.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4535367 or 4535222?\nAnswer: 4535367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4\/9, 1, -4.\nAnswer: -4, 0.4, 4\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -17*n + 1236. Calculate r(74).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0 - 4*b**2 + 2*b**4 + 1\/3*b**5 + 8\/3*b**3 + 0*b. Factor w(v).\nAnswer: 4*(v + 2)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -313 by 6.\nAnswer: -313\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 12:44 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8073190 a multiple of 445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/3 + 2*l**2 - 12*l.\nAnswer: 2*l*(l - 3)*(l + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 2*j**2 + 2*j + 2. Suppose w + 0 = 1. Let s be 0\/(w\/(-1 + 0)). Suppose s*z = -3*z + 6. What is t(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-36)\/(-10) - 3 - 53\/34450*410).\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*o + 3. Let l(c) = -3*c**3 - c**2 + c + 1. What is the least common multiple of 14 and l(o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 111*t**2 + 2 - 2 - 245*t**2 - 13.\nAnswer: -134*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -669, -2223, -5085, -9651, -16317, -25479, -37533?\nAnswer: -52875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6655)*-2 - sqrt(55)) + sqrt(55) - sqrt(55))\/(sqrt(5) - -1*sqrt(125)).\nAnswer: -23*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(7488))**2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/8 + 2 = 0. What is x?\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.3 + -2.9. Let b = -0.4 + t. Let a = 0.1 + 0. What is the nearest to a in -1, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 2. Let s be d(-7). Suppose -18 = -4*m + 2*l, s*m - 21 = l - 6. Suppose -i + m = -3. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19543 divided by 12?\nAnswer: 19543\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + t + 2, -4*u - 2*t + 99 = 111 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26981132.\nAnswer: 2, 97, 69539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159 (base 14) to base 16.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 4359 = 209. What are the prime factors of t?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3932, -31735, -107620, -255761, -500332?\n\"Answer: -4029*o**3 + 133*o**2 + o - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2160)*1 + sqrt(45)\/sqrt(3)*3 + sqrt(15))\/(sqrt(15)\/(sqrt(5) - 2*sqrt(500))) + 2)*3)**2.\nAnswer: -10944*sqrt(5) + 4158756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 24 = 15*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8, 0, 3\/4, -13\/24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 27*c**5\/10 - 19*c**4\/12 - c**3\/3 + 48*c. Find the third derivative of s(g) wrt g.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812312861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -11*s**3\/2 - 10*s. Let b(k) = -8*k. Let t(f) = -21*b(f) + 5*i(f). Let p(v) = 2*v**2. Give p(t(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b + 2. Let i(y) = -1 + 9*y + 2 + 8 + 8*y. Let r(q) = 9*g(q) - 2*i(q). Let n(t) = t. Give r(n(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 1:25 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 108 (base 11) to base 3\nAnswer: 11210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.69 <= -79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 16 = 0, 0 = -5*k + 2*n + 101 - 24. Let g(h) = 17 - 46 + k*h - 12*h. Let s be g(7). Solve 3*r - 5 = -3*j + 1, -3*r - 5*j = -s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3496 divided by 8.\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, k: 3}. What is prob of picking 1 c and 1 k?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 7*g - f, 0 = 5*g + 4*f. Suppose -t + 2 = -2*p - 15, -2*t + 3*p + 39 = g. What are the prime factors of 2\/(-6) + 1926\/t?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 9. Let c be d(-6). Suppose 3*u = c + 48. Let m(o) = -o**3 - 6*o**2 + 6*o + 2. Calculate the remainder when u is divided by m(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -79 + 131. What is the lowest common multiple of 143 and a?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5656 (base 10) in base 11?\nAnswer: -4282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1275995.6 + -91371.6. Let q = u - 1184623.7999924. Let r = -0.2 + q. Round r to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - 6*m - 3. Let q(y) = -3*y**2 + 13*y + 7. Let i be (-27)\/(-6)*20\/15. Let z(v) = i*q(v) + 13*c(v). Find the first derivative of z(u) wrt u.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 13) to base 16\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4680 + 4d?\nAnswer: 46cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*q = 180*q + 252. Calculate the lowest common multiple of q and 2161.\nAnswer: 19449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - 0.5. Let o = 0 + 0.2. Let z = o + 0.2. What is the nearest to 0 in 1\/8, z, p?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, -3\/5, 24, -1\/38?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 a factor of 3859970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 y, and 1 j when three letters picked without replacement from {y: 1, j: 3, w: 3, c: 6, l: 3}?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17.82 and -3.\nAnswer: -20.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1415 - -7842. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36242 or -37182?\nAnswer: -37182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9280 - -18260. Let f = 71376201\/10 + -7128649. Let g = f - k. Find the common denominator of g and 1\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1491641, 1491862, 1492083, 1492304, 1492525, 1492746?\n\"Answer: 221*w + 1491420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -29, -45, 5.\nAnswer: -45, -29, -6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -259*n - 770. Suppose 0 = 2*v + 5*a + 11, -485 + 471 = 4*v + 2*a. What is o(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-three fifths of a millimeter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 135\/(-165)*-1. What is the closest to 4 in -2\/5, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 3\/5, 2\/9, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81267?\nAnswer: 3, 103, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4866*c**3 + 23 - 23.\nAnswer: -4866*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -1313244?\nAnswer: -1313304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 876191 to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -44.95 >= 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71.9 - 72. Is 8 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/61 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25223807?\nAnswer: 7, 3603401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x - 35 = -40*x + 40. Solve -2*f - 3*r - 10 = -x*f, -4*r = 2*f + 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -4, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 614.2636ml in litres?\nAnswer: 0.6142636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 269025411?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-190)\/(-4)*4*2\/4. Calculate the highest common divisor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -4. Suppose r*q = q. Suppose 17 = j - o - o, -o = q. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18326987, -18326984, -18326979, -18326972?\n\"Answer: t**2 - 18326988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-145)\/(-2))\/(-53 - -48). Which is the smallest value? (a) 1 (b) w (c) -0.1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6697452 - 2?\nAnswer: 6697450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113002 + -3101?\nAnswer: -122103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -3. Let x = -40 + 39.7. Let l = -26\/5 + 68\/15. Which is the third biggest value? (a) x (b) u (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*u**3 - 7503*u**2 - 56403 with respect to u.\nAnswer: -15*u**2 - 15006*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -1\/3*c**3 - 1\/2*c**2 + 0 + 1\/60*c**5 + 2*c + 1\/24*c**4. Let t(l) be the first derivative of m(l). Determine t(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7172.674nm?\nAnswer: 0.000000007172674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -125, 2, 8, 1, 5, 2\/27 in decreasing order.\nAnswer: 8, 5, 2, 1, 2\/27, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3368*p - 261264 = -1207*p - 12749 for p.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - o + 6 = 0, 51*f = 45*f - o + 6. Solve -3*d + 15 = f, 35 = -5*s + 18*d - 13*d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16004, 25114, 34224, 43334, 52444, 61554?\nAnswer: 70664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5504, 11360, 17956, 25670, 34880?\nAnswer: 45964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 6*o - 3. Let m be (o - (-1 - 1))\/(38\/38). Let b(y) = y**3 - 5*y**2 + 4*y - 1. Give b(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 e when three letters picked without replacement from saaasaaaaeea?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 + 1. Let n be w(1). Solve -1 - n = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3123 or -3140?\nAnswer: -3140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56105 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - ((-14 - (-11 - -8) - 2) + (-3 - -6)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 3\/7, 0.4, 4, -1.66543, -4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 305145 (base 6) in base 16?\nAnswer: 5f99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5733 + -5726. Put -32, n, 1\/12 in descending order.\nAnswer: n, 1\/12, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z*z*z**(-14)\/z*z*(z\/(z*(z*z**(6\/7)*z)\/z))\/z*z*z\/(z\/(z**12*z)*z)*z**(-9) assuming z is positive.\nAnswer: z**(-62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a milligram in micrograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x - 7 + 13 - 6.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93210 and 93210?\nAnswer: 93210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33496466 from -0.3.\nAnswer: 33496465.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -q. Suppose 0*u + u + 3 = q. Let v = u - -5. Solve -c = v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 2*b**2 - 2*b**2)*(4 - 8 - 6).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + (27 - 19) - 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/s**(-1\/4)*(s**(2\/5))**(19\/3))**(1\/21) assuming s is positive.\nAnswer: s**(107\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*r - 35 = -134*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 + 3*a**3 + 61108*a**2 - 61108*a**2.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13554 - 13551. Solve -18 = t*r + 3 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1453 (b) -0.4 (c) 12 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (9 - (12 - 14)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -20. Suppose -5*i + 15 = -2*a + 4*a, -2*a + 2*i + 8 = 0. Suppose m*s + 157985 = -5*d, a*d = s - 2*s - 157995. Round d to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stshjjtsdhtdwt. Give prob of sequence djth.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1476)\/(-8856)*3\/(-2)*-2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w. Let k be j(1). Suppose 2*z - 7*z - 29 = 2*f, -5*z - k*f = 35. Let v(x) = -4*x - 2*x + 8*x. Give v(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533229 is divided by 250.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25818761810680 - -5.\nAnswer: -25818761810675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + 5?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 49*((-1)\/(2\/(-10)) + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.11 - -5. Let i = t - -0.4. Let g = -0.2899905 + i. Round g to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 486315620 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20.749 * -6\nAnswer: -124.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 28 + 77. Suppose 20*g + 2 = w*g. Solve 0 = -3*p - g*p - 5*l + 10, -4 = -4*l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/2377 + 7117\/16639. Solve 6\/7*j - 6\/7*j**3 - h*j**4 + 3\/7*j**2 + 0 = 0 for j.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.6 - 12.6. What is the closest to 0.1 in 1\/3, r, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74\/33 - -32\/11. What is the smallest value in -28, p, 0.4?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**8\/168 + 12*z**7\/35 + 10*z**5\/3 + z**2 + 24*z. Find the third derivative of n(w) wrt w.\nAnswer: 120*w**2 + 1728*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 34. Let h(m) be the third derivative of -m**8\/3360 - m**7\/2520 - m**4\/12 + 37*m**2. Let v(q) be the second derivative of h(q). What is v(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/3 of a minute in seconds?\nAnswer: 1240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 278 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50281 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 0.4, -2\/11, 2 in descending order.\nAnswer: 43, 2, 0.4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3072.93083 + 0.06917. Which is the fourth biggest value? (a) -0.4 (b) r (c) 2\/5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4606977 times -166\nAnswer: -764758182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1. Let x be (-1 - -13)*18\/24. Let t(u) = x*u - 4*u - 6*u - 4. Determine t(c) + v(c).\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*c**2*f**2 + 109488839*c**2*f*g + 7279995*c*f**2*g + 36*c*f wrt c?\nAnswer: -12*f**2 + 218977678*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-3 + 3) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2\/11 (b) 5 (c) -0.77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 11*a**3 - 2*a - 4. Let o = -535 - -537. Let j be r(o). What is the highest common factor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b + 0 + 2 - 17*b + (-1 - 1 + 4)*(-4*b - 12*b + 5*b) + b + 2*b - 4*b to c + t*b and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 564 + -699. What is x rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 7 + 1 = 0. Suppose -i*g - 5 = -g, g - 14 = -5*d. Let u be -2 + 0\/(-4) + d. Which is the closest to -1? (a) -0.1 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g**3 - 5*g**3 - g**3 - 4*g**3 - 1 - 2*g. Is s(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-333)\/(-6))\/((27\/(-12))\/(-3)). Let g = 76 - u. Find the third derivative of 20*d**4 - 37*d**4 + 15*d**4 - 3*d**2 - 14*d**g wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/5 - -23\/20. Let j = 0.16 - -0.84. Let d = j + 0. What is the closest to d in -2\/11, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5053 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**5 - 64*o**3 + 152*o**2 - 132*o + 40.\nAnswer: 4*(o - 2)*(o - 1)**3*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10638617 and 99.\nAnswer: 95747553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(242) + -1 + sqrt(242) + 2*sqrt(242) - ((sqrt(242) - (2 + sqrt(242))) + -4))**2 + 3).\nAnswer: 1760*sqrt(2) + 15600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 + 1 + 3 + 7*q**3 - 2*q**2.\nAnswer: 7*q**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/10942?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 77*c. Let u(q) = -q - 47. Give u(i(l)).\nAnswer: -77*l - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {f: 1, w: 19}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 4*l + 750. What is the tens digit of y(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 + 3*f + 4. Let u(p) = -p**3 + 1. Let a(z) = -c(z) + u(z). Let w(i) = -5*i**3 - 13*i**2 - 13*i - 13. Determine -26*a(m) + 6*w(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1525, 1425, 1325?\n\"Answer: -100*u + 1625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -18*f**3 - f**2 + 1. Let h be i(-1). Let z = h - -205. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -739*i**3 - i - 1 + 8*i + 2*i**4 + i**2 + 741*i**3 to the form j*i + p*i**2 + r + z*i**4 + t*i**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6952488?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1647*g**4 - 3144 wrt g?\nAnswer: -6588*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14231 (base 14) to base 10\nAnswer: -49827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1178, 1182, 1186, 1190?\n\"Answer: 4*a + 1174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -33023880*k. Let i(v) = -5*v**2. Give i(j(g)).\nAnswer: -5452883251272000*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2. Let c(u) be the third derivative of -3*u**2 + 1\/12*u**4 + 0 + 0*u**3 + 0*u. Determine f(c(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.0601 + -2.7601. Sort g, 4\/7, -0.05, -1\/6 in decreasing order.\nAnswer: 4\/7, -0.05, -1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196525046*a**2 + 204424378*a wrt a.\nAnswer: 393050092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03770828 to 5 decimal places.\nAnswer: 0.03771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 11 + 2*f + 0*f)*(84 - 8 + 12).\nAnswer: 176*f - 704","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3541213*g*z - 1775621*z wrt g?\nAnswer: 3541213*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8643563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 53*u**3 - 8*u**2 - 13*u - 5. Calculate t(-2).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 17248217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 854 (base 9) to base 14.\nAnswer: 37b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 443*f**2 + 51*f - 22571. Determine u(443).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15421601417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + x**2 - 9*x**2 - 21*x**2.\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*a*l*w**3 + 21*a*l*w**2 + 3*a*l*w - 6*a*w**3 + 2*a*w**2 - 26*a*w + l*w**3 - 2*l*w + 6*w**3 wrt w.\nAnswer: -378*a*l - 36*a + 6*l + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 8949011\nAnswer: 4474505.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 6 = -2*m, 9*v = -m + 12*v + 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4061 and 12087501.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 0 + 1\/12*w**4 - 3*w**2 + 0*w + 1\/6*w**3 + 2\/15*w**5. Calculate v(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -931*c - 25108. Calculate w(-27).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -3*d + w - 19, -27 = -2*d - w. Suppose -l - 55 = -2*a, -a - l + 29 - 6 = 0. Let g = -12 + a. Calculate the greatest common factor of d and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 20 = 4*t, 4*t = 3*b - 4*b - 14. Suppose -b*d - 2*j + 1140 = 2*d, d - 3*j = 292. Does 48 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 51*p**2 + p. Let g be z(1). Suppose -k - 3*v = 2*v - 30, -2*k - 2*v + g = 0. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 1:19 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3762 = -2*r - 4*z - 3574, -6*r = -3*z + 126 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2806 and 8.\nAnswer: 2.2448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v - 3*z = -19, 4*z + 8 = 3*v. Is v less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.087.\nAnswer: -0.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -6. Let s = r - -6. Find the second derivative of x**s - 4 - 2*x + 4 wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 8:12 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of ((-9)\/(-2))\/((6\/(-2))\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (-60282)\/(-3348))\/(4\/24)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*o + 2*x - 6 = -57*o, 4*x = 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 7*x - 196 = 0, 4*i - 6*x + 0*x = 3*i - 2*x - 50 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**5\/5 + 2*m**4\/3 + 2*m**3\/3 - 4*m + 10. Let l(a) be the first derivative of u(a). Suppose l(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d (base 15) in base 3?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.7 + 2.1. What is the third smallest value in 4, 1.3, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -663 + 1419. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.57493\nAnswer: -2.87465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 349245 and 2457.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huezzrzubbez. Give prob of picking 1 r, 2 z, and 1 u.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = r + 1, -8*h = -12*h + r - 17 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134 + -99. What is the least common multiple of n and 3?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 - 2*m**4 + 0*m**4 + 2*m)*(5 - 2*m + 0*m - 2).\nAnswer: 2*m**5 - 3*m**4 - 4*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -477.4 + 563. Let j = 85.599543 - r. Round j to 5 dps.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4974842?\nAnswer: 2, 43, 57847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-50) + (-2 - 1098\/(-180)). Solve 25 = m*x - 4*d + 13, 0 = 3*d + 15 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, f: 1, q: 1, d: 1, b: 2}. What is prob of picking 1 d and 3 a?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21644 (base 11) in base 9?\nAnswer: -47044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -37388, 49.\nAnswer: -37388, 16, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/80 + (-12936)\/(-15). Is 863 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13c (base 15) in base 8?\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -6 + (2 - -1) - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 11:01 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.2, 6501, 2648?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*36*(-30)\/(-120). Suppose 0 = 2*t + 5*n + 11, -15*n + 18*n + o = 0. Sort 4, 9, t, 6 in descending order.\nAnswer: 9, 6, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 0.24 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 19*m = 7*m. Suppose 2*z - 11 = -3*c, 3*z + c - 13 = -m*c. Solve -z*p = -6*p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -100?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l - 155 = 25*l. Suppose -3*w + w = 3*v - l, -5*v = 5*w - 65. Calculate the highest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 5*d + 2. Suppose 5*h - 2*q + 17 = 0, -3*h + 0 = -4*q - 1. Let v = 0 - -5. Calculate the remainder when v is divided by r(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 14042324?\nAnswer: -14042323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(3)*-2 + 5 + -3 - (3 + (sqrt(75) + 1)**2))*-4.\nAnswer: 48*sqrt(3) + 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 28. Let d be c(-18). Suppose d*q - 4*q + 30 = 0. Let z be (4\/q)\/(4\/(-20)). Sort z, 5, -6, -5 in descending order.\nAnswer: 5, z, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157686 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25194668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 22320 = 3*p, -2304 = 3*p - 5*t - 24624. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6899 (base 15) to base 4\nAnswer: 11122302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 10*x**5 - x**4\/12 - x**3\/6 + x**2\/2 + 3*x. Is m(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 + -62 + -5)\/(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((20\/30)\/(8\/6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32569 is divided by 187.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q**2 - 4. Let u(p) = 5*p**2 + 3. Let l(i) = 3*o(i) + 4*u(i). Let y(h) = 9*h. What is y(l(d))?\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1155 - 203. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 l when three letters picked without replacement from {i: 6, l: 3, x: 5, h: 3}?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 270.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qddqk. Give prob of sequence qkd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2556511 + 1?\nAnswer: -2556510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 21804 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -15, 10*q = 2*a + 5*q - 4941. Suppose 3*p - a = u, 3*p - 8*p + 4080 = -5*u. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -149, -350, -551, -752?\n\"Answer: -201*o + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*-2*sqrt(147) + sqrt(147) - (0 + 0 + sqrt(147)))*4 - -2*(-3 + sqrt(147) + 1 + -2))*-4)**2.\nAnswer: -46592*sqrt(3) + 1590976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/2 - -5)\/((-2)\/(-4098)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -14*l**3 - 5*l**2 + 8. Suppose 2*i = -5*u + 40, 4*u - 7 = 4*i + 25. Let f(b) = 9*b**3 + 3*b**2 - 5. Give u*f(o) + 5*t(o).\nAnswer: 2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311312031 (base 5) to base 14.\nAnswer: -252d91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -144?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 5*f - 5*b + 65, -3*f - 4*b + 38 = 0. Let v be f\/49 - 204\/(-21). Suppose 0 = 3*h - v*h - 7. Which is smaller: -1\/11 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 916 + -911. Let l = -2 + -1. Let g = 3 + l. What is the nearest to g in c, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81690120 divided by 6635?\nAnswer: 12312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16963 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.56 + 3.44. What is the nearest to -1 in i, -1\/5, 2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 1 (b) -12 (c) -3 (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -94334.239 minus -1010842?\nAnswer: 916507.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k**2 + 2. Let d(a) = -7*a**2 + 3. Let u(n) = 5*d(n) - 8*v(n). What are the prime factors of u(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.385 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -23*p - 18*p**2 + 23*p - 12*p**2 + 31*p**2. Let i(c) = 2*c**3 - c**2 + 2. Determine -i(h) - u(h).\nAnswer: -2*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/827 - -80147\/14886. Find the common denominator of 7\/30 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14779*r + 39751*r - 13499*r to p + c*r and give c.\nAnswer: 11473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.9 + 11.9. Let r = 0.9 + -1. What is the second biggest value in 2\/5, q, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = -82*a + 76*a. What is the remainder when a is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 6:35 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1014 and -5.\nAnswer: -5070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 4 - 1)*(v - v - 5*v) - v + v - v - v + 0 + 0)*(-2*v**4 + 6*v**4 - 3*v**4).\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36c10b (base 13) in base 2?\nAnswer: 101000000010000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16383*a + 16380*a - 32759*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 - 68*z**3 + 141*z**3 - 72*z**3 - 51)*(1 + 3*z - 1).\nAnswer: 3*z**5 + 3*z**4 - 153*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 55*u - 24*u - 33*u - 20*u.\nAnswer: -22*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) 1 (c) 58 (d) -4 (e) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 7*n**2 - 2*n - 5. Let u be (1 + 0)*(2 - 7). Let x be f(u). Suppose -r = -0*r - x. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1552*q = -897*q - 43885 for q.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1917 and 115531981?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a = -157 + 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -11586258.858458?\nAnswer: 11586258.358458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4244499?\nAnswer: 3, 7, 89, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)\/sqrt(5)*5)\/sqrt(7).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 43.9. Let g = 3250\/207 + -4749\/23. Let h = g + 191. What is the nearest to z in 2\/5, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 462 (base 9) to base 3\nAnswer: 112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*k + 2*k + 53, 0 = -3*k - 2*a + 169. Calculate the remainder when (-2)\/((-177)\/k - -3) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4997*o + 1332. Let v be a(4). Round v to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1037005.822000302 + -1037005.65. Let y = c - 0.172. Round y to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/36)\/((-1232)\/198)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*k + 1086, 567 = 5*k - 5*u - 513. Suppose 59 = z - k. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usqkp. What is prob of sequence sku?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 5:18 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/5 + -13\/15. Let p = t - -23\/21. Calculate the common denominator of -53\/4 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*m - 1089 = -3*j + 87*m, 5*j + 5*m = 1855. Calculate the remainder when j is divided by 183.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*i - 11 = -4*r, 4*r - 6 = 2*i. Suppose 19 = r*a - 9. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*s - 2*s**3 + 5 - 2*s**4 + 26*s as h*s**3 + d + j*s + l*s**2 + c*s**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*z**5\/4 + 40323*z**4\/4 - 2655*z**3\/4 - 29559*z**2\/4 - 2016*z = 0.\nAnswer: -3\/5, -1\/3, 0, 1, 896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) 10 (c) -27 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44411 + 46998. What are the prime factors of m?\nAnswer: 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 154 and 154 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r**3 - 40*r**2 - 62*r - 545. Determine q(-10).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -84b4 (base 12) to base 11\nAnswer: -aa15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2204331 is divided by 128.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-240)\/(-28))\/(-10))\/((-4)\/28). Solve 4 = f*s - 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8664?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z + 2*z)*(-2*z**3 - z**3 + z**3) + (1 - 1 - 2*z)*(-z**3 + z - z) - z**4 + 4*z**4 - 2*z**4 + 194*z**4 + 195*z**4 - 76*z**4 - 1 + 1 + 5*z**4.\nAnswer: 317*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejijbi. Give prob of picking 2 i and 1 e.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 640\/65 + 8\/52. What is the second derivative of 21*q + 40*q**2 + 4*q - k*q wrt q?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4 + 1 = 5*p, 28 = 5*w - p. Suppose n - 5*z - 20 = 0, 5*n + 4*z = 2 - 18. Suppose n = y + y. Solve b + 3*d + 3 = y, 0*b + 5*d + 25 = w*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 16 = -11*c + 10*c, c - 4*w = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.15 + -0.15. Let n = a - 1.9978. Round n to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*u + 21 = 0, 0*u - 6 = -o + u. Calculate the greatest common divisor of o and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 3*k**2 - 2*k - 6. Let n be z(4). Suppose 5*q + n = 76. Suppose -q*f = -7*f + 450. Does 38 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 + 4231441*h - 42314460.\nAnswer: (h - 10)*(h + 8462892)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 - 8 + 17*v + 27*v + 32. Let p be o(15). Solve 0 = -g - 4*u - p, 2*g + 0*g = -4*u - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w - w + 4*w)*(-w + 1 - 1) + 1 - 1 - 2*w**2 + 3*w**2 + 2*w**2 - 6*w**2 + (-4 + 6 - 3)*(8*w**2 + 0*w**2 - 2*w**2) + 1 + 2*w**2 - 1.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 35*r**2 + 25*r + 247. Is h(-10) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5\/((-25)\/(-354)))\/((-24)\/(-160))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 756\/57931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + (-2 - -1) + -1. Let p be -4*2\/(-8)*-2. Put 0, w, p in ascending order.\nAnswer: p, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 150*x - 2106. Give s(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (6 - (-19 - (3 - (6 + 0))))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*g - 8. Suppose 2*b = s - b + 8, -3*s - g*b = -9. Find the common denominator of ((-2)\/(-21))\/(s\/(-9)) and 9\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x. Let q(m) be the third derivative of m**5\/120 - m**3\/6 + m**2. Let l(b) be the first derivative of q(b). What is l(g(h))?\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 7*r - 7. Let g(t) = t**3 - 9*t**2 + 8*t - 5. Let p be g(8). Determine u(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158 (base 16) to base 12\nAnswer: -248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-41 - (-2 - 1)) - (-4 - 3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58665?\nAnswer: 3, 5, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**6\/120 - 3*o**5\/10 - o**4 - 6*o**3 - 69*o**2. What are the prime factors of u(20)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 1 (c) -2 (d) -2\/17 (e) -1\/8 (f) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188\/141*((-182)\/112)\/(1\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 1:43 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**4 + 0*u**4 + 4*u**4 + (-u**2 - 1 + 1)*(-2*u**2 + 1 - 1) - 15*u**4 - 3*u**3 + 8*u**3 + 17*u**4.\nAnswer: 3*u**4 + 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -236.303, -0.4, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -1. Which is the second biggest value? (a) h (b) -2\/11 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 7. Suppose d*l = 4*l. Find the first derivative of 15*m**3 - 13*m**3 + l - 4 wrt m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-22 - -11 - -21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 9*o + 3 = -3*y, -5*o = 2*y + 23 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (15 - 4 - (1 + -2))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 * -10304\nAnswer: 1442.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-234))\/(3 - (3 + (-16)\/(-24)))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 3, -9*n = -14*n - 3*l + 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 12*f**2 + 4. Suppose 5*n - 4*r - 40 = 0, 2*n + 2*r - 18 = 16. Let a be p(n). Suppose 2*h = a*h - 42. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0376 - 63.72.\nAnswer: -63.7576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -10358 and -10380 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1885342?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1644, -6557, -14738, -26187, -40904, -58889?\nAnswer: -80142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -110011011110 (base 2) in base 5?\nAnswer: -101134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 16, j: 4}. What is prob of picking 1 j and 1 t?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from uuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 + 82. Solve -3*q = -z + 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1164, -2324, -3484, -4644?\n\"Answer: -1160*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqssqsqj. Give prob of picking 1 q, 1 s, and 1 j.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41)\/2132)\/((-384)\/(-6240)).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 174\/(-14) + (2 - -2) and 8\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1779 and 1780 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 11*u - 4. Let g be p(-10). Let k be -2*(g\/3 + 1). Is (-500)\/(-18) + k\/(-27) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2. Let y(o) = -o**2 - 9 - 4 + 13. What is q(y(p))?\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/177289, 3, 1\/2, -2 in ascending order.\nAnswer: -2, 10\/177289, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6007*p**3 + 2999*p**3 + 3005*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, a: 4}. Give prob of picking 2 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45585 and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018956 to seven dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(-26)\/s)*s*s**21*(s**(-1\/7)*s)\/(s**(5\/3)\/s) assuming s is positive.\nAnswer: s**(1054\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 43 - 82 - -114?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) -0.9 (c) -71 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -91 - 16 - 36*c + 37*c to the form x*c + t and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211110021 - 2?\nAnswer: 211110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) 1.6 (c) -7557\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*i**3 + 2*i**2 - 398*i**3 - 2*i**2.\nAnswer: -308*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n**3 - 14*n - n**2 + 10*n + n - 2*n as d*n**3 + z*n + p*n**2 + w and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-373)\/10444)\/(4\/((-96)\/33))?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 r, and 1 z when three letters picked without replacement from {t: 1, r: 13, z: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.199071265 rounded to 3 dps?\nAnswer: -0.199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 1, k: 3, c: 7}. What is prob of picking 2 c?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*v**2 - v**2 - 94 + 94 in the form c + q*v**2 + k*v and give q.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5) + -1)**2 + 5 - sqrt(245)*-1*-6.\nAnswer: -44*sqrt(5) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + 2. Suppose -6*b = -3*b - w. Suppose -7*r + 130 = -b*r. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.1, 0.7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -1010?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 4*x**2 - 3*x + 4. Let z be c(-3). Suppose -z*y = 2*f + 16, -17 = 2*f + 3*y - 5. Which is greater: f or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7368 and -0.2.\nAnswer: -7368.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9*j**2 - 178*j - 25. Let d be w(20). Sort d, -3, 2, 4 in increasing order.\nAnswer: -3, 2, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Suppose 0 = -q*u - 0*u + 4. Is u\/(-2*1\/(-62)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 y, and 1 i when four letters picked without replacement from icxqcnyxq?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 2966, 1\/39, 4?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -14*b + 12. Let o(v) be the third derivative of v**4\/24 - v**3\/6 - 7*v**2 - 4*v. Suppose 13 + 23 = -3*t. Determine t*o(x) - j(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -5*t - 6 - 6, -24 = -0*w + 5*w - 319*t + 322*t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -89*l - 2. Suppose 0 = y - 10*p + 5*p - 4, 11*y + 16 = -5*p. What is u(y)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 140429653?\nAnswer: 140429648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2283537 is divided by 305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 6*c**2 + 14*c - 14. Let r be n(-8). Find the third derivative of -7*q + 10*q - r*q + 5*q**2 + 80*q**5 wrt q.\nAnswer: 4800*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -175*b**2*k**2 + 2*b**2*k - b**2 + 64*b*k**2 - 7*b*k + 19*b + 7*k**2 + 131*k - 6 wrt k.\nAnswer: -350*b**2 + 128*b + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 162*d**2. Let k(n) = -149*n**2 - 1940*n - 3. Let o be k(-13). Let f(a) = -23*a**2. Determine o*f(u) + 5*q(u).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 111. What is k(-6)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 + 0*u**2 - 5*u**2)*(5*u + 4*u - 6*u) + (-3*u + 4*u + u)*(-2*u**2 - 5 + 5) + 0 - 4*u**3 + 0.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*v = -10 + 1, -5*k = -3*v - 34. Let s(j) = -7*j - 9. Let c(x) = -4*x - 5. Give k*c(p) - 3*s(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*j**2*v + 4*j**2 - 191*j*v - 4*j + 2*v - 120 wrt v.\nAnswer: -37*j**2 - 191*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-7))\/(((-2)\/(-57))\/(-8*(-5)\/(-180)))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2670464949?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**(-2)*g*g))\/g)**(1\/45))**(1\/3)\/((g**(-8\/7)*g*g*g\/((g\/g**(-4))\/g*g))\/(g\/(g*(g\/g**(-1\/2))\/g)*g)**(2\/103)) assuming g is positive.\nAnswer: g**(60650\/19467)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 2*h**2 - 8*h - 4. Let d be z(6). What is d rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 16) to base 12.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 98439, 393727, 885857, 1574817, 2460595, 3543179, 4822557, 6298717?\n\"Answer: -2*r**3 + 98433*r**2 + 3*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -571611, -1143221, -1714831, -2286441, -2858051?\n\"Answer: -571610*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/(-14)*14\/(-2). Let c be (-1)\/(2*3\/w). Let o = -3 + c. Solve -j + 5*j = o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7110347 is divided by 120?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 190.2 times 190548\nAnswer: 36242229.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from lqddhhus.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/21 + 6\/21. Which is the third smallest value? (a) -0.5 (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133017.\nAnswer: 3, 101, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d + 0*d)*(-3*d + 3*d - 2 - 4*d)*(-5 + 2 + 5).\nAnswer: -16*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/129)\/((-6)\/(-9)). Let t = -53\/215 - i. Let d = 0 - 0. What is the closest to 0 in t, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/545305121?\nAnswer: -6\/545305121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 955, 2997, 6907, 13291, 22755, 35905, 53347?\nAnswer: 75687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 15*i**2 + 15*i - 15. Let w be k(-16). Solve 3*h + 1 = g - 4, 3*g = h - w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8 and 455487.\nAnswer: 455486.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 93841953 a multiple of 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-28)\/16*6. Is (m - -1)\/((-10)\/(-145)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*i + 273676 + 262525 = -256247. What are the prime factors of i?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/14 (b) -2 (c) -2\/9 (d) -8.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.70981 milligrams to kilograms.\nAnswer: 0.00000170981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/8)\/((-4)\/18). Let q(k) be the third derivative of k**5\/60 - k**4\/12 + 5*k**3\/6 + 3*k**2. What is the remainder when q(x) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**3 - 6809*u**2 - 80525*u - 56562 = 0. Calculate u.\nAnswer: -11, -3\/4, 1714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 228\/283 - 578216\/719103. Calculate the common denominator of n and 56\/3.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13044121 + -2?\nAnswer: -13044123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -74*j - 4*j**2 - 14*j - 15*j**2 + 13*j + 22*j**2.\nAnswer: 3*j*(j - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1*((-24)\/(-80))\/3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 8:56 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -4, 298, 1\/254, 1\/4, -0.4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 6408*g**2 + 1 - 370*g**2 + 5761*g**2 - 3.\nAnswer: 11799*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/12 and (-47)\/(-10) - (-28)\/7?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - n + 1)*(n**2 - 3*n**2 - 2*n**2 - 2*n - n**2 + 2*n + (-4*n + 4*n - n)*(2*n + n - 2*n)) + (-3 + n + 3)*(6*n**2 + 3 - 3).\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3481 + 1.1869. Which is the second biggest value? (a) -0.3 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1.4, -13\/4, 0.01, 5 in ascending order.\nAnswer: -13\/4, -1.4, 0.01, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14809 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**2\/2 + 7*y + 7. What is the tens digit of p(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8299860 by -5.\nAnswer: 1659972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/42066 and -103\/5814?\nAnswer: 715122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -0.2, 5, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 78255 divided by 26085\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaabacababaiaaa. Give prob of picking 2 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-16)*-2 - (-3)\/4. Let h(m) = 6*m - 6. Let k be h(x). Are k and -1\/70 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**3\/6 - b**2\/2 - 7*b. Let l(c) = 8*c + 2. Let z(m) = 2*h(m) + l(m). Let u(f) = -2*f**2. Give z(u(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 236\/(-12) + (-2)\/(-3). Let r be j\/(-38)*1*36. Calculate the greatest common factor of r and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937359384?\nAnswer: 2, 3, 13, 41, 73277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -18115*l + 18097. Calculate z(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(36\/240*(12\/10)\/((-45)\/(-25)))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -1\/9, 0.3, 26, -501?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**6\/15 + 6*x**5\/25 - x**4\/10 - 2*x**3\/5 + 2*x**2\/5 + 6. Determine f so that i(f) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1082966026*w + 40*w**2 - 1082966026*w.\nAnswer: 40*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263160863?\nAnswer: 7, 37594409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 15 = -15*y, 4*y = -v + 404. Calculate the highest common factor of 53 and v.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - 3) + (0 - 1). Let l(a) = 6*a - 49. Let g be l(11). Let y(d) = -5*d + 89. Let s be y(g). Solve 0 = 3*w + s + 8, -2*b - p*w = 26 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 8*f**2 + 8*f + 5. Let p be q(-7). Suppose 3*v - v = 4*l - 10, 3*v + 3 = 2*l. Suppose -2*a = -4, 0 = -3*s - 0*a - 2*a + v. Is s bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (5 + -11)) + (-8 - -1). Let k(c) = 1 - 5 + 0 + 1 - 5*c. Calculate k(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**3 - 7*c**2 + 8*c - 21. Determine u(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-586)\/10 - -55 - (-3 + -1 + 0). Is x equal to -8\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -5. Let c be (29\/(-3))\/(2\/(-18)). Suppose -6*o + 3*b = -o - c, -o - b + 11 = 0. Calculate the greatest common divisor of o and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from kcczykdzddvvczd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 169122270 and 112720.\nAnswer: 14090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3041854201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-217 - 36 + 549)*(3*i**3 - i**3 - i**3) in the form j*i**3 + p*i + n + u*i**2 and give j.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 237 + -205 - (-32 - (-5 + -1)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 38040 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 2)*(-2)\/6. Is 8 - -3 - (2 - l) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8294456, -33177778, -74649980, -132711062, -207361024, -298599866?\nAnswer: -406427588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**3 - 6 + 10 - 3*u**3 + (1 + 2*u - 1)*(2*u**2 - 1 + 1) to the form p + b*u**2 + a*u + k*u**3 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**5 - 35*t**4 - 90*t**3 - 100*t**2 - 40*t.\nAnswer: -5*t*(t + 1)*(t + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5\/4 - 4*j**4 - 7*j**3 + j**2\/2 + 29*j\/4 + 7\/2.\nAnswer: -(j - 1)*(j + 1)**3*(j + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27225?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence px when two letters picked without replacement from {p: 1, x: 1, o: 1, y: 1, n: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47961.106 + -47860. Let k = 0.106 - i. Let w = 100.999918 + k. What is w rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from {b: 2, q: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18.5 and -4645.\nAnswer: -85932.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**4\/3 + 465*y**3 - 34520*y**2\/3 - 51660*y - 160640\/3 = 0. Calculate y.\nAnswer: -2, 32, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1126346351, -1126346350, -1126346349, -1126346348, -1126346347?\n\"Answer: l - 1126346352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3060940677?\nAnswer: 3060940674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109714 and 4422.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.1883 + -1969.\nAnswer: -1966.8117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130445431 rounded to the nearest one million?\nAnswer: 130000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 509, -3097, -0.3, -1\/3.\nAnswer: -3097, -1\/3, -0.3, 509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 349 a factor of 2816497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - s**2 - s**2)*(3*s + 4*s - 6*s)*(2*s**2 - 5*s**2 - 2*s**2).\nAnswer: -10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5994421?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/23, 4 in descending order.\nAnswer: 4, 0.5, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 11*r - 24 = 0. Solve 9*k - r*k - 15 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-3)\/45*35\/21\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 7. Calculate the greatest common divisor of 99 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290203.\nAnswer: 29, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -14. Let h = -0.4 - q. Put h, -1, 0.1 in descending order.\nAnswer: 0.1, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 3*k**2\/2 - 61*k - 31. Let n be p(31). Differentiate 6 + n*a**2 - 1 + 21 + 11 wrt a.\nAnswer: 64*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + k**2 + 2*k + 1. Let z(t) = -15*t**3 - 6*t**2 + 9*t - 2. Determine -2*j(v) - z(v).\nAnswer: 13*v**3 + 4*v**2 - 13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a + 6*a - 3*a - 3*a + 5*a - 3*a + (-2*a + 0*a + 4*a)*(1 - 1 + 2) + a - a + a + a - 2*a + 4*a in the form p + y*a and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 267*d - 1405. Calculate u(-128).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.78 * 8\nAnswer: 14.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 945091 and 2009?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - q**5 - q**5 + 3*q - 3*q + (3*q**2 - q**2 + 0*q**2)*(4*q - 4*q - q**3) + 4*q**5 + 4*q**5 - 6*q**5 + 50*q**2 + 5*q**5 - 50*q**2.\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101 - 53. Suppose -3*b - 4*d + 25 = -12, -4*b - 4*d + x = 0. Calculate the highest common factor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -2, -6, 121 in ascending order.\nAnswer: -6, -4, -3, -2, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - ((-47)\/4 - -11). Which is the nearest to -3? (a) 1 (b) t (c) -0.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -26. Find the second derivative of -3*z**2 + 9*z**2 + w*z + 12*z**2 wrt z.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-98))\/((180\/(-63))\/(-5))*-2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-172)\/24)\/(-4*2*(-12)\/144).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(102)\/sqrt(54) + 3 + sqrt(68).\nAnswer: 6 + 7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 1868225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 501\/530 + 358\/53. What is the common denominator of (-42)\/32*290\/(-87) and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.284827 nanoseconds to hours.\nAnswer: 0.0000000000214680075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**3\/3 + 4*d**2 - 4*d + 13. Let z be i(-9). Solve -6 = z*v - 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04021 to 3 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -120839058*u**3 + 362454990*u**2 + 186544*u + 24.\nAnswer: -2*(u - 3)*(7773*u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -9460307?\nAnswer: -1\/9460307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + 11. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w - 4*w**2 - 4*w**2 + 6*w to the form o*w + a*w**2 + l and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oottotaaoaaatatta. What is prob of picking 2 o and 1 t?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1230679 is divided by 1070?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 14*v - 36. Let j(o) = o + 13. Let f be j(-2). Let q be r(f). Suppose -2*c = -3*t + 1879 - q, 4*t - 2348 = 4*c. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2225 - -2197. Which is bigger: f or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:24 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105146 (base 8) to base 13.\nAnswer: 13185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.54 in -125, -2\/15, 137.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*r + 3 + 1 = 0, 4*l - 2*r - 6 = 0. Let s be ((-272)\/(-10))\/(l\/20). Let h = s + -133. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s**2 - 22*s - 88. Let x(a) = 4*a**2 - 12*a - 48. Let j(k) = -12*i(k) + 22*x(k). Let o(p) = 20*p**2 + 2. What is o(j(f))?\nAnswer: 320*f**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/14 + 1 + 1. Let f = 6851\/8001 - -1\/1143. Let 4\/7*x + r*x**4 - 2\/7*x**5 + 0 - 2\/7*x**3 - f*x**2 = 0. What is x?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53897?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -488 + 488 - 32*h**3 + (-2 - 9 + 18)*(0*h + 0*h + 2*h**3) to the form t*h**3 + u + d*h + b*h**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1232*84\/((-120960)\/(-90)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from {u: 2, y: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/86 in -12, -1.4242, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 - 0?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42448965 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3183, 3179, 3171, 3159, 3143?\nAnswer: 3123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, 0, 656?\nAnswer: 656","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3 - j**2 - 10*j + 2 - 12. Let w be t(-9). Let m = -9 - -13. Sort m, 1, w in increasing order.\nAnswer: 1, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/((-80)\/108) - (-1)\/(-2). Let f = c - -39. Calculate the remainder when 103 is divided by f.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 26105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*r**4 + 1941*r**3 - 4878*r**2 + 3909*r - 978 = 0. Calculate r.\nAnswer: -326, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/6 of a week in minutes?\nAnswer: 82320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 382*f - 4063. Let a be l(11). Solve 0 = 2*j + a*j - 40 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 26. Suppose 2*y + s = 5*a, y - 3 = -a - 2*y. Find the second derivative of 5*q - 22*q**5 - a*q + 29*q**5 + 2*q wrt q.\nAnswer: 140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 - a**4 + 4*a**4)*(-2 + 1 + 3) - 10 + 2*a**4 + 10 + (-5 - 4*a - 1 + 8)*(3*a**3 + 5*a**3 + 2*a**3) + a**4 - 3*a**4 - 2*a**4.\nAnswer: -38*a**4 + 20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 218 = 4*g + 267, 3*g = 4*c - 1953. Suppose q + 2*q = c. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 + 3*c + 1. Let l be u(-2). Let h = 11.5 - 12. What is the closest to -1 in h, 3\/2, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, k: 1}. What is prob of sequence mkkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010001 (base 2) to base 10.\nAnswer: -273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18008110 divided by -1800811?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -1\/6*y**3 - 3\/4*y**4 + 0 + 0*y - 8*y**2. Is l(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(495)*-2 - sqrt(55)) + (sqrt(165) + 2*sqrt(165))\/sqrt(3))*2)\/(-5*(sqrt(10) - (-4*(sqrt(10) + sqrt(250)) - sqrt(10)))\/sqrt(2)).\nAnswer: 4*sqrt(11)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4554.2605247 from 4.\nAnswer: 4558.2605247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1871913.\nAnswer: 3, 67, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232202003 + 11?\nAnswer: -232201332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 5*c**2 + 6*c - 1. Let u be 0 + 0 + -2 - 4. Let j be r(u). List the prime factors of 11*(5 + j - 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - s**2 + 1 + (0 + 4 - 3)*(s**2 + s**2 + 3*s**2) - 2*s**2 + s**2 + 3*s**2 - 2*s**2 + 0*s**2 + 8*s**2.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2. Let i(f) = 26*f + 4. Let h(a) = 26*a + 3. Let n(k) = -4*h(k) + 3*i(k). What is n(d(s))?\nAnswer: -52*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 1732269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1214869249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 > 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1526\/(-372) - 3\/((-651)\/(-14)))*(-4)\/20?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 7*n + 6. Let h be k(4). Which is the closest to h? (a) 0.5 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332522 take away 0.3?\nAnswer: -332522.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 140693 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23011.\nAnswer: 23011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 158270?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -26, -8, 28, 88, 178?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2156*c + 1081*c - 3 + 17*c**2 + 1072*c. Let i(g) = 6*g**2 - g - 1. Suppose 5*h + 11 = -4*r + 42, -5*r + 26 = 2*h. What is r*z(u) - 11*i(u)?\nAnswer: 2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k - 33. Let c(u) = 6*u + 98. Let r = 24498 - 24492. Give r*c(j) + 17*h(j).\nAnswer: 2*j + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a + 32*a = -2. Find the second derivative of -113 + 62*u**a + 201*u + 113 wrt u.\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2\/11, 4, 227139\/61?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 8*r**2 - 7*r + 1. Let b be z(7). Suppose 5*v - b + 26 = 0. Sort -4, -2, v in ascending order.\nAnswer: v, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 874448*b - 47791206544.\nAnswer: -4*(b + 109306)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 104052 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + p - 23. Calculate j(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + (sqrt(112) + -3 - sqrt(112)))*-1 + ((1 + sqrt(7))*2 - sqrt(7) - (sqrt(7) + sqrt(49)\/(sqrt(21)\/sqrt(3)))))**2.\nAnswer: -50*sqrt(7) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010011001 + 11?\nAnswer: 11010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8422, -8432, -8464, -8530, -8642?\n\"Answer: -2*d**3 + d**2 + d - 8422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2302 and -14021?\nAnswer: 16323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**2\/2 + n + 4. Let g be (-47)\/9 - (-2)\/9. What is j(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (153\/(-34))\/((-105)\/(-7))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 2*w - 3*k, 2571*w - 17 = 2575*w - 5*k - 67 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/(-19))\/((-2)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2, -4 in ascending order.\nAnswer: -16, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28900\/900 + (17 - 48).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 14.5. Suppose -2166 = -267*k - 94*k. What is the second biggest value in k, 0.18, z?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 14204234?\nAnswer: 14204243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4.3 times 18.051\nAnswer: -77.6193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3) + 64\/24. Let t = n - 3. Suppose t*v + 466 = 2*v - 4*x, 3*v - 684 = 3*x. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384864 is divided by 955?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -11*r + 695. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6683 + -6551. Calculate the remainder when 1174 is divided by f.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93070146.\nAnswer: 2, 3, 13, 43, 27749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(7\/2) - -119 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**2*q**4 + 9243739*m**2*q**2 + 2165327*q**4 + q**3 - 2*q wrt q?\nAnswer: -72*m**2*q + 51967848*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 - -12. Differentiate -54*o**4 - 4 - 4 + n*o**4 wrt o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4012 and 606815.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*j - 3*j + 15 = 0, 0 = 5*d - 5*j + 5. Solve -d*s = 0, -5*s + 2 = -11*r + 9*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5452.\nAnswer: 2, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a9 - bdc?\nAnswer: -b33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 6*f**2 - f - 2. Give t(7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69\/44998 or 1?\nAnswer: -69\/44998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7452 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b**2 + 5. Suppose -25 = -81*p + 86*p. Let k(h) = 63*h**2 + 36. Give p*k(a) + 36*l(a).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -2*z. Is (-3)\/z + 39 + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1958 - 28283 = -4*a + 21271. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 7.7. Let j be (40\/11 - 3) + 2 + (-35)\/((-3850)\/(-180)). What is the nearest to j in -1\/4, t, -3, 7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 44986666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 10780333?\nAnswer: 5\/10780333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 7:22 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.8588416s to minutes.\nAnswer: 0.04764736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 3:46 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.33\nAnswer: -0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277027561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/(-1))\/(-2 - 0). Calculate the highest common factor of 63 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*h - 8*b + 161 - 490, h - b + 59 = 36 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.242 - 0.158. Let h = 0.4 + m. Let w = h - -26.8. What is the second smallest value in 0.5, -2\/23, w?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 379.8 + -380. Let r = -45 + 256\/5. Which is the smallest value? (a) 0 (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from ccccccccaaccca.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 776100614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*u + 13*u + u)*(3 - 3 - 6*u).\nAnswer: -162*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193512.\nAnswer: 2, 3, 11, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**3\/3 + 3*u**2 - 84*u + 83. Let m be c(7). Put m, 0, -7, -3 in decreasing order.\nAnswer: m, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 6:37 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -655 - 652 + 1304 = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 121?\nAnswer: 3\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.09 - -0.09. Let w = c + 3.8. Let i = w - -2.2. What is the smallest value in -0.2, 1, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246 + 294 = 540*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 754417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -48 + 4 + -16?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13128121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -25 (b) 0 (c) -2 (d) 6 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 13*y = -8, 4*w + 10 = -5*y. Let h be 2\/((-8)\/12) + 4. What is the nearest to 1 in h, -8\/13, w, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*s - 4 = 0. Suppose -s*v = -3*v + 5. Let w = 8.89 - 8.59. Which is the third biggest value? (a) v (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 674, 672, 656, 620, 558, 464?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctcctztzjv. What is prob of sequence jvzt?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/40)\/(32\/(-30)))\/((-1)\/4)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -15*w**7\/7 - 5*w**3 - 4. Find the third derivative of m(c) wrt c.\nAnswer: -1800*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - -1) + -1 - (50 + -24 + -20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16276 and 840.\nAnswer: 3417960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 k when four letters picked without replacement from cokcokkkc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -1983398 and 1.62338.\nAnswer: -1983396.37662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -58870511 * 0.4\nAnswer: -23548204.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 105657 divided by -35219?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -687*i**2 + 52*i + 27. Let l be b(33). Round l to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79.25 + -79. Do w and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 + 1)\/(-2) - (-120)\/(-1296) and (-4 - (2 + -179))\/(-3 - -33)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1276 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, -7, 0.2, -2, 786?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66254737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.91 in -0.5, -2\/1883, 6?\nAnswer: -2\/1883","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 204 + -138. Suppose 0*r - 4*o - u = -2*r, r = o + 33. Suppose 0 = 5*l + 5, -3*l - r = a - 103. What is a rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 35.76195 months?\nAnswer: 2.9801625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) -2\/7 (c) 6 (d) -0.07 (e) -77 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by -553583.\nAnswer: 35\/553583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 165700 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*y + 67*y - 283221 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**6 + 16383*f**4 - 12*f**3 - 74223*f**2 + 2*f wrt f.\nAnswer: 240*f**3 + 393192*f - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4042 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26655036 (base 7) to base 6.\nAnswer: 124515533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {p: 2, l: 4, n: 1, o: 7}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/7704240 and 81\/152992.\nAnswer: 107859360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6686 - 4385*t + 2216*t + 2169*t + 746*t**2 wrt t?\nAnswer: 1492*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2685619*l**4\/4 + 8172783*l**3\/4 - 8290377*l**2\/4 + 2803221*l\/4 = 0.\nAnswer: 0, 141\/139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -135340 divided by -10\nAnswer: 13534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*w = -399*w + 3019 - 7483 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 7 = 16. Suppose 5*n = 4*o + 10271 + 3448, 8261 = w*n + 5*o. Let z = 153 + n. Round z to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of -4 + 6 - (-3)\/((-9)\/(-150))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 + 0*r**3 - r**3 + (-3*r**2 + 4*r - 4*r + (-2*r + 3*r + r)*(0*r - r - 3*r))*(-r - r + r).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - -1)*(-2)\/(-28). Let t = -714.17 - -718. Let k = t - -0.17. Which is the second biggest value? (a) k (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2341 - 1957. Solve -20 + q = 52*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 155*j**2. Let w(a) = -5*a - 2. What is w(m(i))?\nAnswer: -775*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 172356596*l**2 - 210991455*l wrt l?\nAnswer: 344713192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100.2 + 99.487. Let h = x + 29.613. Round h to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55414746085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-1\/52)*d)*d\/(d**(-1\/7)\/d))**(2\/29))**(3\/14) assuming d is positive.\nAnswer: d**(2361\/73892)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 44*o**2 - 45*o - 144. Determine q(-43).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h + 7. Let z be (-1 - -34) + (1 - 0). Let m(y) = y**3 - 2*y**2 - 3*y + 4. Let i be m(3). Suppose -2*n + 2*f = i, f - z = 5*n - 12. Give v(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 858.039 millilitres to litres.\nAnswer: 0.858039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 8:25 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 - d**3 + d**3 - 4*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 13 = 2*j. Let l(k) be the first derivative of 2\/5*k**2 + 3\/10*k**4 - 1 + 2\/3*k**3 - 1\/15*k**j + 0*k - 2\/25*k**5. Solve l(q) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**2 - 6*v + 4. Let x(f) = -7*f**2 - 11*f + 9. Give -5*l(h) + 2*x(h).\nAnswer: h**2 + 8*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7378 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5177 - 1384?\nAnswer: 3683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, p: 3, q: 1, g: 3}. Give prob of picking 3 w.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -169, -348, -539, -748, -981, -1244, -1543, -1884?\n\"Answer: -x**3 - 172*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2802*d - 27860. Calculate b(10).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001110100111 - 100010?\nAnswer: -10001111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 83\/6. Let f be 34\/12 - (-1 + -2). Let t = -181\/30 + f. Which is the biggest value? (a) h (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/51 and -47\/8150174.\nAnswer: 24450522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99828666131 - 12.\nAnswer: 99828666119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111010 (base 2) in base 15?\nAnswer: 1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1. Let g(s) = -5*s + 13. Let l(i) = -g(i) + 3*o(i). What is the least common multiple of 6 and l(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 39033, 39039, 39045?\n\"Answer: 6*d + 39027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u - 24. Let i(f) = f - 2. Let t be i(u). Calculate the remainder when 9*((-40)\/(-3))\/t is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -173*v + 1029. Calculate j(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27915 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(5)) - (sqrt(5) - (2*sqrt(55))\/sqrt(11))) + (sqrt(320)*3 + 2)**2.\nAnswer: 94*sqrt(5) + 2887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - n = -3*n - 224, 2*n = -8. Is v\/(-5)*(-1680)\/72 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -203, -393, -643, -947, -1299?\n\"Answer: h**3 - 36*h**2 - 89*h - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2018323.49 rounded to the nearest 10000?\nAnswer: 2020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3*533\/(-39))\/((-19)\/19)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2977*a = -3002*a + 60800. What is the third smallest value in 0.3, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - ((3 + -9 - -10) + 1 + -11).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -16*m + 128. Let v be k(8). Let r be 2\/((-1)\/4*-2). Suppose 3*d - 5*d + 14 = 5*z, 2*z + 4*d = -r. Solve v*t - z = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 537895.3 centuries?\nAnswer: 645474360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56800 divided by 800.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-5) - 2)*(-5)\/2. What is the third derivative of -140 + 140 - 2*k**4 + 21*k**n + k**2 wrt k?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4771*g**3 - 14*g**2 + 846*g - 296. Let b(n) = 1591*n**3 - 5*n**2 + 282*n - 111. Let h(o) = -8*b(o) + 3*m(o). Find the third derivative of h(q) wrt q.\nAnswer: 9510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 3) + 26 + (-2 - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.048 + -17.4. Let u = 128 + -128.052. Let w = u - d. What is the third smallest value in w, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66.3 - 66. Put 3, -3, r in ascending order.\nAnswer: -3, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 19 = 47. Let p be (-3)\/((-1 + v)\/105). What are the prime factors of p + -1 + 0 + 1?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - n - 25, -2*n = 4*v - 4*n - 30. Is v smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32956, 33099, 33340, 33679?\nAnswer: 34116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 10:49 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*x**3 + 3304*x**2 + x + 18744 wrt x?\nAnswer: 6*x**2 + 6608*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(sqrt(13) + sqrt(832) + 0 + -1)*3.\nAnswer: -7 + 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26d36 (base 15) to base 16.\nAnswer: -1e63c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -142*t + 1472. Give m(12).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**3 - w**2 + 5*w**3 + 2*w**3 to the form u*w**3 + v*w**2 + c*w + r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 12:23 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -175*i + 316. Let h(b) = -2*b - 2. Let r(y) = h(y) + p(y). Differentiate r(a) with respect to a.\nAnswer: -177","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92 * -42319\nAnswer: -3893348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k**(3\/16)*k)**(-3\/19)\/((k**(-35)*k)\/(k\/k**(2\/71))) assuming k is positive.\nAnswer: k**(740561\/21584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnn. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16836, -33672, -50508?\nAnswer: -67344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -60*r + 177. Let s(a) = -21*a + 59. Let k(d) = -17*s(d) + 6*w(d). Let x be k(16). Which is smaller: x or 49\/5?\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 148, 221, 296?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12 - 25\/(-15)) + 322\/92?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19931357 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 1, x: 1, r: 1, q: 1, z: 2}. What is prob of picking 2 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 127 + 133 = 212. Solve -4*d - 5*k = 8, -f*d - 6 = -0*k - 3*k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*o + 4*o = -201, -3*y - o = 597. Suppose -134*g + 113*g - 1869 = 0. Let d = y + g. Round d to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 58*k**2 + 37*k - 18. What are the prime factors of x(-56)?\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13301039 or 13301036?\nAnswer: 13301036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 4*d - 5. Let f be r(6). Suppose f*s - 2 = 5*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1 - 21 = 0. Let c be (6 - -26) + -3*1. Find the common denominator of 41\/3 and c*(2 + h\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-469)\/(-42) - (-1)\/(-3) and 426\/(-216)*((-39)\/(-104))\/(3\/4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(546\/702).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 505*o**2. Let p(m) = 15*m - 8. Let s(b) = 4*b - 2. Let r(n) = -3*p(n) + 12*s(n). Determine y(r(j)).\nAnswer: 4545*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.098 - -0.498. Suppose 4*v = -3*j - 125, 0*v + 4*v + 5*j + 123 = 0. Which is the second biggest value? (a) v (b) i (c) 3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/14)\/((-2000)\/(-4200)))\/10?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-1)\/(-13)*52\/(-26)*(-399)\/(-266)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((1\/3)\/(2\/(-12)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 570\/1260 + 2\/(-7)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from vvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 665*v - 4 + 4 - 656*v to x*v + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -47. Differentiate -16 - 13 - 8*c**o + 20 with respect to c.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558394506 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.56711102 - -16.33561092. Let x = b - -0.2332101. Let g = -14 + x. Round g to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -45, -58, -73?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 672 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/7 - 92*q**4\/7 - 846*q**3\/7 - 2764*q**2\/7 - 3688*q\/7 - 240 = 0. Calculate q.\nAnswer: -35, -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Suppose -2*q - 8*p = -6*p - 12, -q + 5*p = 18. Factor 1\/3*g**5 + 1\/3*g**q - 1\/3*g**4 - 1\/3*g**3 + 0*g + i.\nAnswer: g**2*(g - 1)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) -95 (b) -1\/2 (c) 0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 4. Suppose 2*i - 2*h - 47 - 11 = 0, 102 = 3*i + 2*h. Suppose 2*m = 5*t - 10, t + i = 4*m + 4*t. What is the tens digit of v(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 0*z + 5*z - 4 + 3*z - 14*z. Let l be h(-1). Suppose 31 = y - 3*q, y - l*y - 4*q - 4 = 0. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 1. Let h(c) = -13919*c + 13911*c + 1 + 0. What is -h(p) + o(p)?\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21753.897 months in years?\nAnswer: 1812.82475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/(-4 + 8\/3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqil when four letters picked without replacement from ihriqlmiilhil?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-700)\/49)*-1*18\/63.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Round -3986.2 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/14)\/g)\/(g*g\/(g*g**(-2\/13)\/g)))\/(g**2\/((g*g*g**(-2\/5))\/g)))\/((g\/g**(-2))**(-3\/10)*(g**1)**(-42)) assuming g is positive.\nAnswer: g**(3483\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 2787096\nAnswer: -1\/696774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -0.3, -21, 2, -230.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n + 24. Let r(c) = -1. Let b(x) = 24*r(x) + y(x). Let f(a) = -a**2. Determine f(b(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 3427*g**4\/24 - 181*g**3\/2 - 2275*g**2. Differentiate b(s) with respect to s.\nAnswer: 3427","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 492 and 10.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2258.835 litres to millilitres.\nAnswer: 2258835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(208)*2)**2.\nAnswer: 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 20 = -f, -7*f + 64 = -12*f - 2*u. Let j(c) = -c**2 - 25*c - 9. Let p be j(f). Which is greater: 144 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -28.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u. Let q(x) = -8*x - 2. Let l(a) = 40*h(a) - 4*q(a). Find the first derivative of l(k) wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzhzttzrztrtzzzh. Give prob of picking 2 r.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20263.3561 + -287?\nAnswer: 19976.3561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 17*i + 48. Give s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 647362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 687, 7, 5, -46, -4 in increasing order.\nAnswer: -46, -4, 5, 7, 687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: cc (base 16) to base 4\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18613, -37224, -55835, -74446?\nAnswer: -93057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84*f*r**3 + 567*f*r + 2*f + 16*r**3 - 479*r**2 - 2*r wrt f.\nAnswer: 84*r**3 + 567*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c**3 - 63*c**3 + 30*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 891 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*i + 26 = -0*i, 0 = 5*k - i + 17. Let n be 596\/(-28) - (-2)\/7. Let s be (-4)\/7*n\/9. What is the second smallest value in k, 1\/3, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 476\/(-3 - (-7)\/3). Find the common denominator of 63\/20 and (-3)\/(-15)*i\/(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -35*u + 20. Let k be b(-6). Calculate the greatest common divisor of 46 and k.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12054668 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 12, 29, 52, 81, 116, 157?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 594 and 11142?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3900, -15597, -35092, -62385, -97476, -140365, -191052?\nAnswer: -249537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1987408, 1987370, 1987284, 1987132, 1986896, 1986558?\nAnswer: 1986100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -630*g**2*m*n - 11*g**2*m + 35*g**2*n - 2*g*n - 91*n wrt m.\nAnswer: -630*g**2*n - 11*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 1075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -812*-20.8\nAnswer: 16889.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -289*z - 4039. Let u be f(-14). Let i(g) = g**3 + 3*g**2 - 5. Let p(l) = l**3 + 4*l**2 - 6. Calculate u*i(d) - 6*p(d).\nAnswer: d**3 - 3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28 and -91?\nAnswer: -2548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26343.02 rounded to the nearest 100?\nAnswer: 26300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 12 = -3*b, -s + 2*b + 12 = -b. Suppose s = -0*w + 2*w + 5*c - 6, 0 = -5*w - 3*c + 15. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/15 and 25\/456?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + 0*o**2 - 4*o**2 + 2562427 - 2562427 - 728*o**2 + (0*o + 2*o + 0*o)*(o + 5*o - 5*o).\nAnswer: -728*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*i**2 + 0*i + 8*i**3 - 2*i - 92*i**2.\nAnswer: 2*i*(i + 1)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451116 is divided by 6440.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**3\/4 - 55895*y**2\/4 + 13975*y = 0. Calculate y.\nAnswer: -11180, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 1666.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + (48 - (75 - 37))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 11*s + 37, -2*s + 1866 = -5*b + 1885 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 3*j**2\/2 + 31522. Let s(w) = 2 - 28 - 31 - w. Calculate d(s(r)).\nAnswer: -3*r - 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 2:56 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-3*d + d + 0*d)*(-1997 + 1849 - 4858 - 2879).\nAnswer: 31540*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/739525834 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1 - 47*l - 49*l + 94*l - 1. Let p(s) = 23*s - 13. Determine v(p(z)).\nAnswer: -46*z + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.588 + 0.588. Let g be (12\/10)\/(3\/(-10)). Sort w, 0.04, g in increasing order.\nAnswer: g, w, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + a - 10 = 2*a, 2*a = -2*v + 20. Let u be ((-8)\/v)\/((-14)\/35). List the prime factors of 2 + (-50)\/(-1) - u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -58\/11 in descending order.\nAnswer: -2, -3, -58\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 111450*v**2. Let q(t) = -t**2. Give q(n(l)).\nAnswer: -12421102500*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121*h**5 + 2*h**4*u - 8*h*u - 10*h wrt h.\nAnswer: 2420*h**3 + 24*h**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-112)\/3)*15757\/81036)\/(4\/(-6))?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -847.8316 to the nearest ten.\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 213588*f - 81 - 213591*f.\nAnswer: -3*f - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3884 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -12*y**2. Let r(z) be the first derivative of 43*z**3\/3 + 693. What is r(d(x))?\nAnswer: 6192*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 0.4, -4, -1\/83 in ascending order.\nAnswer: -4, -2, -1\/83, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 1\/4*i**4 + 1\/6*i**3 + 0*i**2 + 16*i + 0. Give v(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 5:49 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/364)\/((-104)\/(-455)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 20 = -2*l. Suppose -3*w + 5*z = -11, 0 = -5*w + 2*z + 5 + 7. Solve l*b = -y, w*y + 0*y = -10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3 - 9. Suppose 3 = -c*i + 9. Let k = 3 - i. Put k, -4, -5 in descending order.\nAnswer: k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 659 (b) 0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 - 2*n**2 - 2*n. Let h be t(2). Suppose 0 = b - 4*d - 1, -3*b + 2*d + h = -1. Solve -1 + 21 = b*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/4 and (3 - 5)\/(32\/(-364)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 6*p**2 - 5*p - 2. Let b be s(-5). Let h be ((-2)\/4)\/(b\/4). Is (h - -1)*(-33)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 3197832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uod when three letters picked without replacement from {s: 2, o: 1, u: 1, d: 10}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.67426 and 10459.\nAnswer: 10459.67426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 5*v**2 + 3*v - 4. Let b(a) = 3*a**3 - 14*a**2 + 8*a - 12. Let k(w) = 2*b(w) - 7*l(w). List the prime factors of k(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57.9 - 54.9. Which is the nearest to 2\/9? (a) 2\/19 (b) -2 (c) 1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-500)\/2775*31\/(-1860))\/((-2)\/(-54))?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 2620337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3413 is divided by 70?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**2\/2 - 37*n + 510. Give p(-30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4548423 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -1.9. Let s = 0.6 + b. Let q = s - 1.5. Which is bigger: 0.1 or q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252\/(-9765)*(-10)\/4?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-102)*27\/(-144)*8\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 142, 4, 2\/7, -2\/11, -0.5, -2 in ascending order.\nAnswer: -2, -0.5, -2\/11, 2\/7, 4, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axaasklsllllxl. What is prob of picking 1 x and 1 s?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**3*n**2 - 3*l**3*n - 35*l**3 + 37040*l**2*n**2 - 13*l**2*n + 2 wrt n.\nAnswer: -4*l**3 + 74080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**6\/18 - 2*l**3 - l**2 - 74. Let v(u) be the third derivative of o(u). Determine v(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q - 4. Let r be c(3). Let l = -4 - r. Is (-30 - 0)*(-8)\/l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 0.273\nAnswer: -0.01365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 616*g + 621*g + 25, 15 = -5*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (169\/(-39) - -1)*51\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) 2\/9 (c) 577 (d) 0.2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f + f)*(1 + 2*f**3 - 1)*(69*f - 56*f - 45*f + (3*f + 2*f - f)*(1 + 4 - 3)).\nAnswer: -96*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31 + -6?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1*1*(-3)\/3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.313 - -1.007. Let f = n - -7.4. Let v = -1.906 - f. Which is smaller: v or 0.23?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/875 and -117\/940?\nAnswer: 164500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18 and 5.43302.\nAnswer: -12.56698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -53699*h**2 - 3*h + 1. Let q be f(4). Let m = q + 6459195. What is m rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 659904655 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddmmd. Give prob of picking 2 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 9:10 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -818.9*-0.1\nAnswer: 81.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - -4*sqrt(76)\/sqrt(4))**2 - (-1 + sqrt(19) + sqrt(19))*1)*-6 + (2 + sqrt(19)*-3 - (sqrt(209) + sqrt(209)*3)\/sqrt(11))**2.\nAnswer: -1921 - 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3085*r = 3095*r - 6197*r + 306 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -351 + 361. Suppose a*b - 6*b - 2*g - 2590 = 0, -2593 = -4*b + 5*g. What are the prime factors of b?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d - 9. Let b = -35 - -31. Let x be u(b). Is 1654 - (-11 - x)*1\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 126 - 127 + 11*q + 4*q in the form d + c*q and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*l + 6*l**4 + 3*l + 2*l**2 - 8*l**4 + l**4 - 2*l**3 to the form i*l + b + j*l**2 + w*l**4 + k*l**3 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 1944 = -4*m, -7*t = 5*m - 11*t - 2434. Let c = -430 + m. Calculate the greatest common factor of 264 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175775, -175773, -175769, -175763, -175755, -175745?\nAnswer: -175733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*u**3 - 510*u**2 + 121454*u wrt u.\nAnswer: 60*u - 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 229446?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201 - 101112210?\nAnswer: -101111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -273\/73, 28?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 - 54*x**2 + 9*x - 55. What is v(-27)?\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrp when three letters picked without replacement from {p: 1, r: 5, q: 1, f: 3}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 - 2674560*p**2 - 357650186505*p + 3576769326050.\nAnswer: -5*(p - 10)*(p + 267461)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 8 = 34*d + 305 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(13) + 0)**2 + 4 + (sqrt(52)\/(sqrt(16)\/sqrt(4)) - sqrt(13)))*6 + -3.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 + 44)*(5*v + 8 - 8).\nAnswer: 180*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i = -10. Let y(c) = c + 2*c**2 - 1 + 2*c**3 - i*c**2. What is the units digit of y(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*w = -30. Let c = w + -1. Suppose 3*g + 37 = t, -19 + 149 = c*t - 4*g. Calculate the remainder when t is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(117) + sqrt(13))*-1 - (2 + -3*sqrt(13))**2*-2*-3.\nAnswer: -730 + 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 548669626?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*p + q + 4*q, 3*p + 2*q = -6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 12:10 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40573501 rounded to four dps?\nAnswer: 0.4057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19657225.\nAnswer: 5, 7, 112327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**2 - 3*j. Let v(n) = 60*n**2 - 35*n. Let b(h) = 35*l(h) - 3*v(h). Let o(q) = 2*q**2. What is o(b(p))?\nAnswer: 50*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1909\/4377?\nAnswer: 1909\/4377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let a(n) = -5*n - 4. Let o(q) = a(q) + 6*j(q). Let m be o(10). Let i(r) = r - 2. Let l be i(m). Solve -l*d = -9*d - f - 5, -4*d - f - 4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 193799476 and 3224?\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10579433*y**4 - 3908632*y**2.\nAnswer: -253906392*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1612 = -4*m, 0*w - m + 1615 = 4*w. Suppose -6*t + 9*t + 4*o - w = 0, 682 = 5*t - 2*o. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3 = -p - 14, -4*f + p = -21. Suppose -4 = 2*h + 6, f*h + 23 = x. Factor 2\/3*t + 4\/3*t**4 + 0*t**2 - 2*t**x + 0.\nAnswer: 2*t*(t - 1)**2*(2*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7)*s)**(-2\/93)*s**(-9)\/s**33 assuming s is positive.\nAnswer: s**(-27352\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**8\/((((x\/(x**(-1\/5)\/x))\/x)\/x*x)\/x))\/(x\/(x*(x\/x**(-1\/4))\/x*x))**34)\/(((x**2*x)\/x)**(-27)\/(x**(2\/5)*x)**(-20\/7)) assuming x is positive.\nAnswer: x**(1003\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Factor 3*k**4 + 552*k**3 - 5355*k**2 - 26448*k + 259392.\nAnswer: 3*(k - 8)**2*(k + 7)*(k + 193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 14*f - 5. What are the prime factors of r(3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002519 rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + 19)*(-154)\/1078\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104083 (base 9) in base 5?\nAnswer: 3441130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 - 47. What is the second derivative of -1 - 147*k**4 - 2 + 30*k - n*k wrt k?\nAnswer: -1764*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m + 6. What is the tens digit of z(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1)*z*z**(-6)*z assuming z is positive.\nAnswer: z**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 239 - 239. Let g = -3.72 - -4. Let h = z + g. What is h rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38148 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (11 - (-840)\/(-77))*-26\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.019868 + 0.019902339. Round s to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450397.\nAnswer: 461, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 + 60. Let h = 24.2 + q. Suppose -2*v + 3*b + 7 = 18, -3*b + 7 = -v. Put -3, 32, v, h in descending order.\nAnswer: 32, h, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2535 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -239 (b) -0.33 (c) 2 (d) -0.01 (e) 31\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a + 18*a - 298 = -2*j, 2*j = -2*a - 146. Let l = a + 97. What is the remainder when 136 is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(sqrt(1331) + (sqrt(1331) - sqrt(1331)*-1) + -3) + 2*-5*(-2 + sqrt(1331)).\nAnswer: 2 + 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002297446 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 190, -2.\nAnswer: -2, 52, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 4*y - 1. Let o(z) = z**2 + 1. Let l(c) = -4*o(c) - v(c). Give l(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-1) - (-1 + 0). Let h be (-1)\/4 - (-2)\/(40\/5). Suppose -m - 2 - 9 = 3*g, 2*g - 4*m + 26 = h. Put v, g, 4 in descending order.\nAnswer: 4, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 3 + -2)\/1. Suppose q = -4*y + 13 - 5. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 201 (b) 4 (c) 6\/13 (d) 0.3 (e) 98 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 2*z**2 + z + 4. Let f be w(3). Let y(g) = -4*g**2 + 3. Let p(s) = 46*s + 2 - 3 + 2*s**2 - 46*s. Give f*y(c) - 5*p(c).\nAnswer: -2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**3 + 8*n**2 - 9*n - 8. List the prime factors of u(-4).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 10 = -i, -4*i + 3*u = -77 + 70 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 7:09 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*((o\/o**(-5\/9))\/o)\/o)\/o*o**7)\/(o*o*o\/((o*o**15)\/o)*o**(-3\/4)))**(2\/17) assuming o is positive.\nAnswer: o**(695\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30206747 + 2?\nAnswer: 30206750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 6*p - 669. Let s be p\/8 + (-10)\/(-80). What is the greatest common divisor of 56 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 - 48. Let l = -2 + y. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 + 1)*(l + l + 0*l).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, n: 6, m: 7, j: 1}. Give prob of sequence ncm.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 5*o = -3 - 4, 0 = 5*m + o - 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2095528, 4190992, 6286456, 8381920?\nAnswer: 10477384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, 103, 659, 1827, 3811?\nAnswer: 6815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5\/7 - 138*f**4\/7 - 222*f**3 + 3530*f**2\/7 - 1836*f\/7 = 0.\nAnswer: -54, -17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-357)\/(-34)*(-82)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 2 (b) -1351 (c) -0.3 (d) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x + 8 = 0, -4*p - 2*x + 1376 = 0. Let o be 40\/p - 8\/36. Let z = -7815 + 7815.02. What is the closest to 2 in z, o, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251839283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 14 = -y, 2*o = 9763*y - 9767*y - 24 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -13*l**2 + 12*l**2 - 4*l - 3*l**3 + 3*l**3 + l**3. Let y be x(3). What is the tens digit of y\/(-4)*208\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 f when four letters picked without replacement from fcuuucbwuf?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2033 (base 6) to base 2\nAnswer: -111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/9)*f\/f**(-5))**(-4\/9))**(-1\/5) assuming f is positive.\nAnswer: f**(208\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - 2*k**2 - k. Let c(s) = s**4 + 16*s**3 - 17*s**2 - 41*s + 36. Let x(a) = 3*c(a) - 15*l(a). What is w in x(w) = 0?\nAnswer: -6, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*n + 15*n + 124 = 13*n. Sort 157, 2, n in descending order.\nAnswer: 157, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2 = 2*s, s + 3*b = -0*b - 7. Suppose n - 5*u + 3*u = 2, s*n - u - 46 = 0. Calculate the smallest common multiple of n and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -1, 13, 35?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/16991 - 1342329\/339820. What is the common denominator of x and 79\/(-24)*16\/(-12)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(117) - 1*sqrt(117))*5 - (sqrt(117) - 4*(sqrt(117) + sqrt(117)*3 + sqrt(117)))**2) + 1) + 2.\nAnswer: 168946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51662?\nAnswer: 2, 13, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -112*l + 1\/6*l**3 + 0 + 671\/6*l**2.\nAnswer: l*(l - 1)*(l + 672)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 2*b**2 + 2)*(-b - b + b).\nAnswer: -2*b**3 + 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) -13 (c) 27 (d) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p**2 + 9*p**2 - 2*p**3 + 5 - 5 to u*p**3 + r + s*p**2 + l*p and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + l**3 + 2*l**3)*(3*l + 0*l - 4*l) - 2*l**3 + 2*l**3 + 4*l**4 + (l**3 - 2*l**3 + 0*l**3)*(10*l + 4*l - 4*l) - 2*l**4 + 0*l**4 + 3*l**4.\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1513, 1571, 1629, 1687, 1745?\nAnswer: 1803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -834\nAnswer: 2502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-4))\/((-11)\/22). Suppose 0 = -8*r + s*r + 6810. Suppose -192 = -6*o + r. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94 - 44. Let x = 17 + -184. Let z = -137 - x. What is the greatest common factor of p and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**5\/20 - l**4\/12 - l**3\/6 - l**2\/2 - l. Let a be (4\/10)\/(18\/10 - 2). Is u(a) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -317*l - 754 wrt l?\nAnswer: -317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n + 4. Let g = 17 + -14. Let p(k) = 0*k - g*k - 1 + 3*k + k. Determine -3*p(q) - z(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 231.8300535 to the nearest integer.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7811348*c + 22622269 with respect to c.\nAnswer: -7811348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78973*a**3 - 39434*a**3 - 39425*a**3.\nAnswer: 114*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 4*o**2. Suppose 0 = -2*i + 3 + 3. Suppose 4*l + 19 = -i*s, -2*s + 4*s + 2 = 0. Let m be p(l). Let q(y) = y**3 - y**2 + 2. Give q(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*(-3 + sqrt(204)\/(sqrt(12) + sqrt(108) - sqrt(12)) + -3 + (sqrt(68)\/sqrt(4))**2 + -2).\nAnswer: 2*sqrt(17) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2152, -4571, -6992, -9415?\n\"Answer: -r**2 - 2416*r + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(-8) + (-1)\/(-4). Let a = 9 - x. Calculate the remainder when 20 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4100.772km in micrometers?\nAnswer: 4100772000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0774447 plus 65228110?\nAnswer: 65228110.0774447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 64984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3640 a factor of 232190780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 8 = b, -286*m + 283*m = -5*b - 8. Suppose 0*a - 72 = -4*a. Let f be 3*4\/a*-3. Sort b, -15, f in decreasing order.\nAnswer: f, b, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 28*j = -2460. What is the greatest common divisor of j and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 12*s + 210 = 0. Suppose 0 = y - 5 + 2. Suppose 8*i - 30 = y*i. Calculate the highest common divisor of s and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*b**2 + 14171836 - 14171836 - 8*b**2.\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31898115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 4, 0 = 3*x - 8*x - 5*p - 5. Solve 2*k + x = -5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**5 - 2*z**4 - 14337*z**3 + 2*z**2 - 5*z - 47371 wrt z?\nAnswer: -60*z**2 - 48*z - 86022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + (sqrt(363) + 1)*2 + sqrt(363) + (sqrt(363) - 2*sqrt(363))**2 + 4 + sqrt(363) + 5.\nAnswer: 55*sqrt(3) + 374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*s = -496, 2*b + 9 - 208 = s. Is b a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.1 + 16.2. Let q be 3\/5*6\/(-9). Let g = -2.5 - -3. What is the nearest to k in 1, g, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10011959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 12000202?\nAnswer: -12000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s - 4. Let w(n) = n + 10. Suppose 16 = 2*o - 4. Let q be w(o). Let k = q + -17. What is h(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 605 and 968.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 11:50 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + w**2 + w**2)*(-324*w - 272*w - 262*w + 608*w).\nAnswer: -250*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/9)\/((-2)\/9). Suppose n - 36 = -q*n. Let f = n - 5. What is the lowest common multiple of 6 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*r + 16, n = 3*r - r - 2. Let z be 3\/(-2) + 135\/18 + -1. Solve 0 = n*s - z*p - 5, 2*s - 4*s - 5*p - 5 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auua when four letters picked without replacement from {u: 4, a: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-5)*(1\/(-6))\/((-7)\/14)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 6*i**2 + 6*i - 1. Let u be d(-5). What is the tens digit of ((-46)\/3)\/(4\/u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 97200 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/11 - 2458*o\/11 - 4924\/11.\nAnswer: 2*(o - 1231)*(o + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijv when three letters picked without replacement from {j: 1, i: 2, v: 1, q: 1, u: 1, t: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -868 - -867.9998185. Round f to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 5, -4, -3, 529, 28 in increasing order.\nAnswer: -30, -4, -3, 5, 28, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 37516.38 to the nearest 1000.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(396) - (sqrt(396) - (sqrt(396) + sqrt(396) + 3 - sqrt(396))*-6) - sqrt(396)) + sqrt(396) + 1 + sqrt(396) + 3)*-4*-6.\nAnswer: 336 + 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 457 - 319. List the prime factors of p.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**4 + 12 + 2*o**3 - 15*o**2 - 8 - o + 16*o**2 in the form y*o**3 + n + i*o**2 + m*o + b*o**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 10*y**2 + 6*y - 9. Calculate p(11).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/196*-7*(-2)\/(-3)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a hour in minutes?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4\/12619 - -1072807\/605712. What is the common denominator of c and -15\/2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-75)\/(-6))\/5*2. Suppose -4*s + w = 2*w - 12, 5*s = -p*w + 30. Suppose -5*d + s*d = 9. Is -2 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139 - 50. Let w = l - 55. Suppose -19 = -m - 4*z + 1, 2*z - 16 = -m. Calculate the remainder when w is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/9336876 and 16\/20757.\nAnswer: 102705636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-32)\/(-120)*(-165)\/176?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3563.717 meters in nanometers?\nAnswer: 3563717000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 3, -0.2, -74?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 142 = 3*x + 2*w, -2*w = -8. Let n = -36 + x. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v - 75. What is m(13)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*sqrt(304).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by 4\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 5*t + 2*t + 0*t)*(1 + 0 + 2).\nAnswer: -9*t - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 232162921, 464325843, 696488765, 928651687, 1160814609, 1392977531?\n\"Answer: 232162922*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o - 173 + 28 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 21.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2.381, -0.25 in decreasing order.\nAnswer: 0.1, -0.25, -2.381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 22*o + 255. Calculate the smallest common multiple of g(29) and 65.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1201 - 1205. Which is the nearest to -2\/7? (a) 1 (b) 3 (c) 5 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -89850*c**3 + c + 323881.\nAnswer: -269550*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(85))\/sqrt(5))**2 - (sqrt(136)\/sqrt(128))**2)*6 - 5*(3 + sqrt(612) + 1).\nAnswer: -30*sqrt(17) + 3053\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 1, -5, 0, 5 in decreasing order.\nAnswer: 5, 1, 0, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1416908713 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.77017178 rounded to 4 dps?\nAnswer: 1.7702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 11. Let c(s) = -4*s - 6. Is c(j) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 - (42 + -41) - (-8 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5396688475?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0337073168 and -6?\nAnswer: 5.9662926832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = h + 54. Suppose 3*m + 0*m - h = 0. What are the prime factors of 3\/((m\/(-12))\/(-3))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/24*-3*0. Let u(n) be the third derivative of n**6\/120 + 7*n**5\/60 + n**3\/2 + n**2. Let v be u(-7). Solve i = d + c + 3*c + v, 15 = -5*d - c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*c + 11, -19*c = -14*c + v - 11. Solve p - 5 = k, c*p + k + 2 = -3*k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 14 = -2*f + 3*k, 4 = -4*f + 4*k. Let b be (2\/f)\/(8\/180). Let d = 21 - b. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3109228 is divided by 3163.\nAnswer: 3162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10021004657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -298\/69 - 54\/23. Let o = n + 10\/3. Calculate the common denominator of o and -41\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/53? (a) -0.3 (b) 1 (c) -3 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -2183?\nAnswer: -2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 261485984?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wurta. Give prob of sequence rt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00116 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3109 + 3109.000002297. Round x to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 22?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*l - 1273, 4*n - 5*l + 1267 = 5*n. Suppose -28*m + n = 106. Calculate the remainder when 78 is divided by m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-10)\/4*68\/85. Let o be (-698)\/645 + 12\/30. Let g = o + 2\/129. Which is the third smallest value? (a) -0.2 (b) -2\/5 (c) g (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1554423166 and 1522.\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0459292358 rounded to five dps?\nAnswer: -0.04593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6482\/(-4167))\/(4\/(-18)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -230*y. Let g(b) = 2*b - 1. Determine g(l(m)).\nAnswer: -460*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a. Let x(b) = 64 + 55*b**2 + 43*b**2 - 25*b**2 - 64. Give w(x(d)).\nAnswer: 146*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115 - 150. Let l = -34.7519 - 0.3081. Let g = l - x. Sort -0.5, 1, g in decreasing order.\nAnswer: 1, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 7:38 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 781.988 years?\nAnswer: 78.1988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4890971 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhjhjhoxcjonjcjjh. What is prob of sequence jcon?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 + 7*n**2\/3 - 11*n - 45.\nAnswer: (n - 5)*(n + 3)*(n + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + 0 + (1*sqrt(475) - sqrt(475)))*4 - 1*-5*(sqrt(475) + 1)*-4)**2.\nAnswer: -1142400 - 24000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-2) - ((-51)\/(-6) + -9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 39*w**5\/20 + 11*w**2 - 24*w. What is the first derivative of a(y) wrt y?\nAnswer: 117*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104*z**2 - 337*z?\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -37. Let w = 18 + z. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 14*f**2 + 6*f + 67. Let i(u) = 28*u**2 + 11*u + 129. What is -6*i(a) + 11*v(a)?\nAnswer: -14*a**2 - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 11 = 5*w + 69, -w - 11 = -c. Let m be (-1)\/((-20)\/(-22) - 1). Let y = w + m. What is the third biggest value in 5\/3, 0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 32 + 10 = 0. Suppose 0*o + 3*o = 0. Sort m, o, 1 in increasing order.\nAnswer: o, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.45 + 21.45. Let o = q - 21.00000104. What is o rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - b + 32, 256*b + 8 = 254*b for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3\/4, 5, 4, -1609\/5, 2 in decreasing order.\nAnswer: 5, 4, 3, 2, -3\/4, -1609\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 5. Let a = 554251 - 554251. Solve a = -h + j*h - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 4*q**2 - 19*q + 16*q**2.\nAnswer: 12*q**2 - 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00077136 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24359.\nAnswer: 24359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 4*g - 11. Let y be q(9). Is (-744)\/y + (-2)\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y. Suppose 0 = -44*a + 152 - 20. Let p(q) be the second derivative of 0 + 14*q + 0*q**2 + 3\/2*q**a. Give p(o(l)).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75136474?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.9 + -6.9. Let u be 1 + -3 + (-2 - -36). Suppose 3*o - u = 2*n - 12, -2*o + 2*n + 16 = 0. What is the smallest value in j, 2, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 42 and 257 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 4:20 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-2)\/6)\/(10\/(-150))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 68 = 2*y + 2*m, -5*m - 145 = -4*y. Suppose -3 - 2 = -k. Calculate the greatest common divisor of y and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 7, -5, 695709.\nAnswer: -5, -4, -3, 7, 695709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2*-6 - -3. Suppose v*l = 3*l - 894. Suppose -7*x + 5*x = -l. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-9 - 4 - 1). Calculate the greatest common factor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1455 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h + 4736 = 51*h - 4772 + 8656 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from spsiisi.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 4*z**2 + 1. Let c(p) = -p**2 - 7*p - 4. Let u = -9 + 2. Let o be c(u). Determine x(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + 68. Suppose -3*n + 104 + 166 = g. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/6*((-102)\/(-136))\/1*12.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2296 + 2270. Which is greater: -17 or p?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-22)\/x*x*x*x*x**(10\/3)\/x*((x\/x**(6\/11))\/x)\/x**(-2\/11))**24 assuming x is positive.\nAnswer: x**(-4760\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m - 1. Suppose 4*g = 4*r + r + 23, 4*g - 25 = 3*r. Give l(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5329, -43469, -147225, -349405, -682817?\n\"Answer: -5468*s**3 + 136*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/1 + 5 + -4. Suppose -u = -3*j - 15, -5*u - 6 = 4*j + r. Suppose -2*b - b + 231 = u. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*i**2 + 20479*i - 20479*i + 293*i**2.\nAnswer: 416*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 524*z**2. Let k(c) = c**2 - c + 1. Let p(y) = -8*y**2 + 6*y - 6. Let g(b) = -6*k(b) - p(b). Give t(g(l)).\nAnswer: 2096*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1690681?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4 + 26*c**3 + 172*c**2 + 144*c = 0 for c.\nAnswer: -4, -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/5*j**4 + 44\/5*j**3 - 96\/5*j**2 - 144\/5*j.\nAnswer: -4*j*(j - 6)**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1560*a + 21699. What is v(-14)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 35. Suppose 0 = -8*l + 3*l + u. Suppose -g + l*g - 8 = 0. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 187252682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 8:44 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 11*f - 83. What is the units digit of l(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-50)*(1 - 28\/8). Let f = 0.3 + -0.4. What is the second biggest value in 4, p, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28083, 32455, 36823, 41187, 45547?\nAnswer: 49903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -43*d - 65. Let i(z) = -2*z. Calculate h(i(v)).\nAnswer: 86*v - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -112679590 divided by -11267959?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 72551305 and -6.\nAnswer: -435307830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2352601, 2352602, 2352603, 2352604, 2352605?\n\"Answer: h + 2352600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49606?\nAnswer: 2, 17, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 196682000 to the power of 1\/3, to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14748, -14757, -14748, -14703, -14604, -14433, -14172?\n\"Answer: 3*c**3 - 9*c**2 - 3*c - 14739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*t**3 - 3 + (2*t - 5*t + 4*t)*(-2*t**2 + t**2 + 2*t**2) + (0 + 0 + 2*t)*(-4*t**2 - 4*t**2 + t**2).\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 = 0, -3*j + 3*q = -q - 563. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 5*b**2 - 5*b - 10. Let q be y(-4). Let l = -19 + q. Suppose -l = 2*g - 7*g. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 2051234?\nAnswer: 2051241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 189 divided by 46\nAnswer: 189\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11, -8, -10 in increasing order.\nAnswer: -10, -8, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 take away 7?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000473651 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 265*w - 5 + 5 - 12 - w**2 - 277*w. Suppose 15 = -5*j - 40. What is m(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 = 1. What is the tens digit of (-6)\/2 + 81\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184205248, -184205249, -184205250, -184205251, -184205252, -184205253?\nAnswer: -184205254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 627, 629, 631?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/270 and -61\/2268?\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w + 34*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*b**3 - 57\/4*b - 21\/2 - 3*b**2.\nAnswer: 3*(b - 7)*(b + 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*m = 95*m - 3*f - 48, -28 = m - 3*f for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -59?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4 - 576*z**3 - 7852*z**2 + 43920*z + 51200 = 0. Calculate z.\nAnswer: -128, -20, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l + 2. Suppose 15 = 5*d - 0*d. Let u(a) = -d*a - 1 + 0 - 1. Let f be (-33)\/(-6) - (-1)\/2. Give f*u(o) + 5*p(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.801 + -0.671. Which is bigger: m or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/2833 + 5641\/14165. Factor 2\/5*x**2 - 4\/5 + 6\/5*x**3 - 6\/5*x + b*x**4.\nAnswer: 2*(x - 1)*(x + 1)**2*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, d: 2}. Give prob of picking 2 d and 2 h.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 366\/56 - 2\/7. Let q = 461.9 - 462. Is q at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/184 and -83\/14?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 2:42 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 16, m: 2}. Give prob of sequence xxxx.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6) - (-204)\/36.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0293 and 33.8005.\nAnswer: -0.99035465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 5*a - 3*a + 0 + 0 - a + (3 + 3 - 4)*(0 + 0 + 2*a) + 5*a + a - 5*a + 0*a + 3*a - 4*a - 3*a + a + a - 4 + 4 + 2*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2\/25 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142567753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215975001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**3 - 8*n**2 + 47*n - 60. Is 16 a factor of j(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 g, and 1 o when three letters picked without replacement from vqvvwmwwoqwvoovvwvvg?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3888*x**5 + 2654397*x**4\/5 + 1431096*x**3\/5 - 633564*x**2\/5 - 47184*x\/5 + 19584\/5 = 0. Calculate x.\nAnswer: -136, -4\/5, -3\/16, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 28341352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*c - 12. What is the lowest common multiple of 11 and 3 + (c - -1) - -6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) + (sqrt(225)*-1 - sqrt(225))\/sqrt(9))\/(sqrt(5)*1*-6) + -4.\nAnswer: -4 + sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/31)\/(26531\/822461)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*x + 6692 - 1373 = 233*x + 39*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*d - 7 = 0, 3*d - 3 = -z + 2. Let i = 57 - z. Is 3194\/22 + (-10)\/i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-774)\/(-1161))\/(44\/(-1014)) - -15?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 43*w**2 + 479*w - 2108. What is a(-53)?\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.55 - -0.05. Let r = o - -4.4. Let k = -4 + r. Which is the biggest value? (a) 4 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15894649, -15894360, -15894083, -15893824, -15893589, -15893384, -15893215, -15893088?\nAnswer: -15893009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 18*v + 5. Let o be p(-18). Suppose -x - 3*u = -14, -o*x + 5*u - 6 = u. Differentiate 2 - 3 - 17 - n**2 + 15*n**x with respect to n.\nAnswer: 28*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 o when three letters picked without replacement from zozozzzozzozozzozz.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -619*o + 14862 = -29152 - 6744 for o.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccffcfjjccfjjj. Give prob of picking 3 c.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 14\/(-6) - (-1)\/(-3). Let q(i) = 7*i**2 - 2*i + 7. What are the prime factors of q(k)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 25*a**2 + 57*a + 1351. Determine q(11).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 76\/6096319 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 18\/(55\/22*(-8)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 24 = 4*c, i = -0*i. Let l(d) = -d**2 + 9*d - 14. Let k be l(c). Solve -k*m + 6 = 3*o, -3*o + 5*m - 21 + 0 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.048 - 0.024. Is p bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -48460650 divided by -24230325?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3731 + 6730. Suppose f = 7*o - 4148. What are the prime factors of o?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s**3 - 2*s - 1. Suppose -x - 4 = -0*x. Let j be ((-2)\/x)\/((-12)\/(-984)). Suppose 39*f - 2 = j*f. What is m(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 331382202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -425412*r**2 - 846699*r?\nAnswer: -850824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-7))\/12*(-10)\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r - 293 - 103. Let q(a) = -a**3 + 36*a**2 + 2. Give q(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1257 + -792. What is the remainder when i is divided by 79?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3050 (base 6) in base 11?\nAnswer: -567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*k**4 + 17*k**2 - 17*k**2 + (2*k**3 - 6*k**3 + 2*k**3)*(-5 + 4*k + 5) to o*k**4 + j + a*k + d*k**3 + n*k**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r - 6 - r - r. Let x(f) be the second derivative of f**4\/12 - 5*f**3 - 93*f**2\/2 + 351*f. Let w be x(33). Determine b(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Suppose 2*g = f + 4. Calculate the lowest common multiple of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 830 and -11336414.\nAnswer: -11335584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68763258?\nAnswer: 2, 3, 3820181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 - 7*v + 7. Let n(i) = -3*i**2 + 6*i - 6. Let f(a) = -7*n(a) - 6*t(a). Let z(g) = 5*g. Calculate z(f(p)).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 3\/2)*23\/230.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -37, -45, -53?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 334335?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01984409 rounded to 3 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -74507549 and -16?\nAnswer: 74507533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6410197730?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvxrtt. What is prob of picking 2 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -12. Let y be -1*(-2 - (46 - m)). Suppose 0 = -4*w - 5*i - 36 + 120, -4*i = 2*w - y. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - 1f?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 81*w + 20. Suppose -5*n = -l + 199 + 29, -2*n - 2*l = 84. What is the units digit of o(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**4 + 125669*r**3 - 2*r**2 - 68*r - 2962.\nAnswer: -24*r**2 + 754014*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4 - 8*k**3 - 8*k**2 = 0 for k.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + v - 8765, 0 = 3*b + 2*b + 3*v + 14613. Let z = 4425 + b. What is z rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 5*p - 48. Calculate j(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 63*y. Let p(h) = -14*h + 15*h + 45*h**2 - 82*h**2 + 29*h**2. What is p(g(i))?\nAnswer: -31752*i**2 + 63*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 + 270*w**3 - 285*w**2 - 550*w.\nAnswer: 5*w*(w - 2)*(w + 1)*(w + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 3*p**2 - 1512*p + 7609. Give o(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y**5 + 5851641*y**2 - 8554845*y wrt y.\nAnswer: 60*y**3 + 11703282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p - p)*(43443 - 21722 - 21721 + 2757*p)*(0 - 3 + 4).\nAnswer: 2757*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 671*v**2 + 2211*v**2 - 6 + 0 + 2. Is g(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*f + y - 8, -3*f = -2*y - 17. Suppose 3*h = 2*r - 6*r + 42, r - 51 = -f*h. Let u be (2\/h)\/((-2)\/(-4)). Put -0.5, 2\/11, u in increasing order.\nAnswer: -0.5, 2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.042 + -0.248. Let n = 16.29 + m. Which is the third biggest value? (a) -2 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9593 - -9659. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7125, -14380, -21635?\n\"Answer: -7255*c + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 23102111031?\nAnswer: -23102111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 148 - 262. Let d = -196 - x. Let c = -46 - d. What is the greatest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 196 and 84.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.231, 0.3, -5, -9, -0.5 in descending order.\nAnswer: 0.3, -0.231, -0.5, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*h**2*l**4 + h**2 + 175*l**5 - 2849*l**2 wrt l?\nAnswer: -408*h**2*l + 10500*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1488*o + 1501*o - 17*o**3 + 1497*o - 4486*o.\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69368201.\nAnswer: 7, 823, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 16*d**2 - 7*d**2 - 17 + 13*d**2 + d. Let m be v(3). Calculate the highest common factor of 32 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 12*a**2 + 6*a + 3. Let z(k) = 11*k**2 + 6*k + 2. Calculate 2*t(m) - 3*z(m).\nAnswer: -9*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 255\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272 is divided by 389?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 6:54 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 + 1 + 1 - 3 + 4*a + 2 + 2*a**2 - 2 + (0*a + 2*a + 0*a)*(4*a - 3*a - 3*a).\nAnswer: -5*a**2 + 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 777*r - 197*r - 161*r + 769*r to the form l + m*r and give m.\nAnswer: 1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Suppose 0 = -j + 3*a + 7, -3 = -j - m*a + a. Suppose -6 = g - j*g. Solve -4*u = g*t - 18, -2*u = 3*u - t - 26 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1100 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - n - 4. Let l be o(3). Suppose -l*x + 7*x - 415 = 0. Suppose 5 + x = 4*k. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1. Let p(k) = 23*k**2 - 10. Let h = 77 - 73. Let f = 10 - h. Let g(o) = f*a(o) - 2*p(o). Differentiate g(m) wrt m.\nAnswer: -92*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.96 or -168?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29007, -57982, -86907, -115758, -144511, -173142?\n\"Answer: 4*j**3 + j**2 - 29006*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {c: 2, z: 4, j: 2, f: 1, o: 3, s: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 8, -4, 7292, -22 in increasing order.\nAnswer: -22, -11, -4, 8, 7292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 45\/150 + 5306\/(-20). Let a = h - -270. Solve -2*j = 4, a*i + 19 = -3*j + j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**5 - 36*r**4 - 208*r**3 - 64*r**2 + 768*r + 832.\nAnswer: 4*(r - 13)*(r - 2)*(r + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1136 = 19*x + 100*x - 530 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 9 - 3 - 2*o**3 as u + l*o**3 + q*o + a*o**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2608.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 5*g - 2. Let j be r(-3). Let t(l) = 712*l + j + 297*l + 346*l - 15856*l. Let y be t(4). What is y rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11002.\nAnswer: 2, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 divided by 5?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -18 - 5*c - 10 + 27 - c**2. Calculate w(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjggggjuuugggggu. Give prob of picking 2 g.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -888663 >= -888653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -1.27, 2\/9, -10\/3, -4, -1.1, -12?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -16, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279449697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 10*x**3 + 2*x - 2. Calculate the least common multiple of 68 and a(1).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -7. Calculate the lowest common multiple of u and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-77*c**3 + 7*c + 149*c**3 - 71*c**3)*(0*c + 0*c + 3*c) + 5*c**4 - 5*c**4 - 2*c**4 to the form y*c**4 + g + l*c**3 + q*c + a*c**2 and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/133976 and 89\/12?\nAnswer: 401928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.1316.\nAnswer: -0.2632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 13*s**2 + 4*s**2 + 2*s.\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 2*l + 0*l)*(-2*l + 4*l - l)*(-12*l**2 - 6*l**2 + 2*l**2).\nAnswer: 32*l**4 + 32*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1771*f*n**2 + 12013*f*n - 112*f - n**4 + 552*n**2 - 2*n wrt n?\nAnswer: -3542*f - 12*n**2 + 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**6\/60 - v**3\/6 - v**2 + 3*v. Let t(b) be the first derivative of o(b). What is the derivative of t(d) wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*i + (0 - 3 + 1)*(-i + 2*i - 2*i))*(-489*i**3 + 103*i**3 + 65*i**3)*(1 - 2 + 3).\nAnswer: -2568*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -9*t - 15. Let m(w) = w**2 + 15*w - 7. Let p be m(-15). Let f(g) = -13*g - 22. Let r(n) = p*c(n) + 5*f(n). Differentiate r(u) with respect to u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33337 (base 9) in base 5?\nAnswer: -1202042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10179774 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -353, -349, -347, -347, -349, -353, -359?\n\"Answer: -h**2 + 7*h - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + -66550?\nAnswer: -66526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 287.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*c**3 + 113*c**4 - 7*c**3 + 50*c**4 - 63*c**4 + 2182*c**2 wrt c?\nAnswer: 2400*c + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 27. Let z(j) = j**3 - 11*j**2 + 15*j - 25. Let p be z(10). Let h be a(p). Suppose 3*f - h = 2. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 1 = 5*l. Suppose 5*h = 4*f - 2*f + 195, -4*f - 144 = -l*h. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/5)\/(9\/((-17)\/(119\/21)))\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2431, -9764, -21985, -39094?\n\"Answer: -2444*l**2 - l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9457, 18988, 28585, 38248, 47977, 57772, 67633?\nAnswer: 77560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/8*125\/(-1375)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4 + 4 + u. Suppose -180*j + 1795 = 2155. Let l(c) = -4*c - 3. Calculate j*r(v) - l(v).\nAnswer: 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 36*j + 6. Let p be g(4). Calculate the greatest common divisor of p and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 7. Let f be p(7). Suppose 0 = 3*z - 12 - f. Let m(n) = -n + 9. Let w be m(z). Let x(k) = 2*k - 3. Calculate x(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7 - v - 1 + 5. Suppose 10 = -u + 5*g - 0, 10 = -2*u + 5*g. Is j(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3912925 minutes to nanoseconds.\nAnswer: 23477550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -32168590.\nAnswer: -2\/16084295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27\/6 - (-2)\/(-4). Suppose 0 = 11*l + 2*l - 26. Suppose -g + 3*g = l*u - 62, -3*g = -d*u + 119. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + s + 7 = 0, -o + 0*s + s = 1. Suppose i = -2*n - 72, o*n = -n - 15. What is the units digit of ((-2)\/4)\/(3\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 860977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 30 = 24. Suppose -2*a + 2 = -4. Suppose 0 = -a*b + 6*b - z. What is the highest common divisor of b and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 + 22*t + 3016. Calculate a(-34).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-1\/4))**(-29\/4)\/(a**(1\/6)*(a*a*(a**6\/a)\/a*a)\/a) assuming a is positive.\nAnswer: a**(-905\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 - 58416082603?\nAnswer: -58416082472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p - 22. Let o be m(9). Suppose 4*y + o = 9*y. Is 2\/7 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2301 = -5*f, -14*o + 1847 = 4*f - 17*o. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06026783423 rounded to four decimal places?\nAnswer: -0.0603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*s + 9 - 1 = 0, -2*s = 3*m - 8. Suppose 19 = m*d - 1. Suppose 4*n + 1 = d*b - 18, 5*b - n - 16 = 0. What is the remainder when 9 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 13568*q + 13573*q = -5, 3 = -4*x - 3*q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*q - 174*q**2 - 174*q**2 + 349*q**2 + 47*q.\nAnswer: q**2 - 197*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-5)*(-4 + -1). Let x = 42 + f. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4) + -4 - sqrt(5)) + 2 + (sqrt(5) + (sqrt(5)*-3 + -1)**2 - sqrt(5)) + 3.\nAnswer: 6*sqrt(5) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffkkkkk. What is prob of picking 4 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -169\/303 - 11\/101. Sort -6, a, -0.04 in descending order.\nAnswer: -0.04, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 547*o - 3287. Determine z(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19.4, -5\/51, -2\/15?\nAnswer: -5\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Let u(q) = q**2 - 2*q - 8. Suppose -8*f - 16 = -0*f. Let y be u(f). Suppose -4*s - 3*p = -194, y*s + 2*p = s - 54. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 10 = -z - 4*z, -2*z + w + 4 = 0. Suppose -4*i + 85 = 3*q + 12, -z*i + 59 = -3*q. Calculate the remainder when i is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 8*g**2 + 3*g**2 - g.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 3*h**2 + 2*h + 2. Let a be w(3). Find the second derivative of -t + 10*t**3 - 3*t - a*t**3 + 2*t wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m + 0*m**3 + 3*m - 2 - m**3 + 3*m**2. Let t be (-51)\/(-9) + 1\/3. Suppose n = 3*n - t. Determine d(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (7 - 1 - (-17 - -32)) + (-11 - -10)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fww when three letters picked without replacement from {w: 2, f: 9, s: 1, n: 4}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/2 (b) 2.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-15)\/30)\/((-7)\/(1295\/(-10)))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 213 = -37. What is the remainder when i is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 375 and 450?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92.2 + 3.2. Let g = 88.9 + v. What is the closest to g in 1, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*((x*x**(-12\/13)*x)\/x)\/x*x**5*x)\/(x**16*x**(-2)))**11 assuming x is positive.\nAnswer: x**(-1133\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15835515?\nAnswer: 3, 5, 709, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7e (base 15) to base 3.\nAnswer: -11102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 9:59 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - m = 2*m + 16, 3*v + 10 = -m. Let r(t) = 5*t + 1. Let h(k) = 5*k. Let o(a) = v*h(a) + 3*r(a). Is o(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10779?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**2 - 18540*z + 28644300 = 0.\nAnswer: 3090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 15*y**4 - 136*y**2 - 2*y + 3034. Let o(h) = -15*h**4 + 135*h**2 + 3*h - 3020. Let v(b) = 2*o(b) + 3*u(b). Find the first derivative of v(c) wrt c.\nAnswer: 60*c**3 - 276*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2642*n + 2604*n - 190 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2 + 7. Let i = 0.069 - 0.169. What is the closest to i in a, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -61, -141, -255, -403?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1747, 1094, -685, -4154, -9877?\n\"Answer: -94*q**3 + q**2 + 2*q + 1838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2154 is divided by ((498\/(-4))\/(-3))\/(-24 + 1323\/54)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19 - -1.81. Let m = 3 - 8. Let d = m + h. Sort d, 3, 0.4 in decreasing order.\nAnswer: 3, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17389215 divided by 2295.\nAnswer: -7577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1737 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.9 to 1 decimal place.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2049816744956 less than -70?\nAnswer: -2049816745026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 14*l**3 - l**2 - 20*l + 20. Let g be q(1). Let f = 37 + -34. Solve t = -4*d + 3*t - 2, -f*t = 4*d - g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*l + 1091*l + 559*l + 740*l.\nAnswer: 2217*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1350045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnnm when four letters picked without replacement from {m: 12, n: 5, v: 1}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 112*z**3 + 6*z**2 + 4*z - 8. Let i be w(-8). What is i rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-3682.94\nAnswer: -1841.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -99, -126, -143, -156?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 2*d**2 - 22*d + 10. Give k(-8).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15 * -1.6\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a hour in minutes?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**4\/2 + 441*c**3 - 123414*c**2 + 8953655*c + 1128443277\/2 = 0.\nAnswer: -39, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -3\/16*g**5 + 5\/8*g**3 + 0 - 2*g - 3\/4*g**2 + 1\/8*g**4. Find t such that l(t) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(7) + sqrt(20) + (sqrt(5) - sqrt(720)\/sqrt(4)) + -1 + -4*(sqrt(605) + -3 + sqrt(605)))**2.\nAnswer: -1958*sqrt(5) + 39726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-1*1\/6)\/((-8)\/1494). Is 0.6 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 888?\nAnswer: 17760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1269*g**2*i - 14381*g**2 + 17252*g*i + 2169 wrt g.\nAnswer: 2538*i - 28762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/1)\/4 - 16\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -125*z - 116. Let a(t) = 3*t**2 + t. Give a(v(d)).\nAnswer: 46875*d**2 + 86875*d + 40252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.00568562 + -1.20568672. Let y = -1.9 - -0.7. Let g = j - y. Round g to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 142884 and 14580?\nAnswer: 714420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**2 - 111010*o - 4764185 = 0. What is o?\nAnswer: -22159, -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -75364 divided by 48?\nAnswer: -18841\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -2 - -2) + -3 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11)*((a\/(a*a**(21\/2))*a)\/a)\/a*a)\/(a**(-22)\/a*a*a*a**17) assuming a is positive.\nAnswer: a**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-9 + 11 - 9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1634 - 3267\/2. Let d(w) be the first derivative of x*w**2 + 4*w + 5 - 1\/4*w**4 - 1\/3*w**3. Determine d(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 226349 by -226349.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*p + 6 + 1 = 0, 4*s = 2*p + 10. Find the second derivative of k - 4*k**5 + s*k + 0*k wrt k.\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 113*z + 102*z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**5\/15 + c**4 - 6*c**3 + 5*c**2. Determine g, given that l(g) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - ((sqrt(704) + 0 - sqrt(704))*-5)**2)*-6 - ((sqrt(66)\/sqrt(6))**2*2 + -1*sqrt(99)).\nAnswer: -45*sqrt(11) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9450\/(-2450) + (-975)\/(-35)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 4491.\nAnswer: 2\/1497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2072 or -2076?\nAnswer: -2072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*t**5 - 78*t**3 + 203*t**2.\nAnswer: 420*t**2 - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73999297 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381*v = -174*v - 290214. What is the remainder when v is divided by 235?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.5873 take away 83320266?\nAnswer: -83320138.4127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 189880380 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -194, -0.5 in ascending order.\nAnswer: -194, -0.5, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((-15)\/(-6)) - 69. Let s = u + 35. What is s rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60797 divided by -5527.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/15)\/((-285)\/90)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k + 2339 = -19*k + 1955 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2) + 2 + 3)**2.\nAnswer: 4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 9 = -37. What is the units digit of (-6)\/9*(-189)\/12*a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*1*(((sqrt(147) + 2*sqrt(147))**2 - sqrt(3)) + sqrt(3) - (sqrt(24)\/(-2*sqrt(8)) - sqrt(3))).\nAnswer: -13230 - 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + p - 6. Let n(h) = -4*h**2 + 4*h - 41. Let q(i) = -2*i**2 + 2*i - 22. Let c(b) = 3*n(b) - 5*q(b). Determine 4*c(x) - 9*d(x).\nAnswer: x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 91020 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r + 67. What is q(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 258 + 376. Suppose j + 146 = 4*b. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 129640741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*q = 6*r, -5*q + 16 = -3*r. Let x = -1554647\/270372 + 2\/67593. Find the common denominator of x and (-190)\/(-12) + r + 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 42*n - 43.\nAnswer: (n - 1)*(n + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 4*v, -4*l + 39*v - 36*v = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, 38, 108, 180?\n\"Answer: i**2 + 65*i - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 g when four letters picked without replacement from {e: 3, g: 13}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j - 2. Suppose -3*n + n - 8 = 0. Let u be m(n). Suppose -q = d - 2*d + 4, -2*d + u = 4*q. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -5.504.\nAnswer: -9.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-2)*133\/((-2527)\/38)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25958, -26159, -26484, -26927, -27482, -28143, -28904?\nAnswer: -29759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 10*d**2 + 49*d - 144. Is 8 a factor of y(41)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13057.6 - -13058. What is the fifth biggest value in -49, 7\/4, 0.1, 3\/2, t?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmakaj. Give prob of sequence amk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000085179 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b**2 - 6*b - 1. Suppose -c = 3*c. Suppose c = 3*d + 2*p - 18, p - 23 = -6*d + d. Let f(k) = 5*k**2 - 5*k - 1. Determine d*g(m) - 5*f(m).\nAnswer: -m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen quarters of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88087\/18 + 4897. Suppose 2 + 46 = 6*o. Calculate the common denominator of (-1076)\/(-32) + (-1)\/o and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22102121021212 (base 3) to base 15.\nAnswer: 5d75b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wppppbwwb. Give prob of picking 2 w and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -127, -107, -97, -103, -131, -187, -277, -407?\n\"Answer: -f**3 + f**2 + 24*f - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/6 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 12 = -2*l. Let q(x) = -2*x**3 + 3*x**2 + 12*x - 7. Let j(h) = -h**3 + h**2 + 6*h - 4. Let u(c) = l*q(c) + 7*j(c). Determine u(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n + 152 = 38*n. What is the highest common divisor of 38 and n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36165 and 1815483?\nAnswer: 7233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -0.09, 0.06 in descending order.\nAnswer: 0.06, 0, -0.09, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 40*w - 865. Calculate j(19).\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 17 = -c + 5*c, -2*c = -4*d - 2. Let u be 6*d + 24\/(-28)*7. Solve -5*i + 2*i + 5*i = u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**2 - 25*p + 379. What is t(8)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 2. Let d be p(0). Let h = 1 + d. Suppose -2*z + s + 7 = 0, -8 = -h*z - 0*z + s. What is the lowest common multiple of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 1.344.\nAnswer: -4.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 9*k**3 - 30*k**2 - 33*k**2 - 11 + 56*k**2 + 0 to the form a*k**3 + t + g*k**2 + z*k and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 183320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p - 1. Let c be o(-3). Suppose 2*v = 6*v + c. What is the remainder when v\/(-4) - 90\/(-12) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3\/5*k + 0 - 27\/5*k**3 + 18\/5*k**2 = 0?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -124506161*u**3 - 176406700 wrt u.\nAnswer: -373518483*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v**3 - 57*v**2 - 114*v - 48 = 0.\nAnswer: -1, -2\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 582\/970 - 2\/20. Let i = -56\/5 + 11. Which is the nearest to 1? (a) i (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7963650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.08 - -0.08. Let n = 299\/202 + 2\/101. Which is the second smallest value? (a) d (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81853 or -81961?\nAnswer: -81961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (6 + (4 - 11) + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 76\/3*2415\/10. Let k = -109474662831\/241 + 454257831. Let s = w - k. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.082 and -0.139032795133?\nAnswer: 0.057032795133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/20 - -1) + 30\/8. Suppose 3*g + d*t = -3, -5*g + 0*g = 2*t - 9. Let q(k) = g*k - 3*k - 2*k. Let x(m) = -10*m + 1. Determine -11*q(v) + 2*x(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6725?\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 13*o - 25040000. Round o to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.446790142 - -290.\nAnswer: 290.446790142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten ninths of a week?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/15 + -1 + (-7507652)\/(-5640). Let l = -1330 + t. Is 0 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 + j - 1. Let c(w) = -3*w**3 + 5*w**3 - 3*w**3 - w - 2*w**2. Let x be c(-1). Suppose x = 5*y - 6 + 16. What is k(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2912 - -2913. Is -1\/2679 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 3351*s - 6693. Determine y(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1572 - -1577. Let u(w) be the third derivative of -1\/120*w**6 + 0 + 0*w + 4\/15*w**3 - 3\/50*w**n - 5*w**2 - 1\/10*w**4. Factor u(a).\nAnswer: -(a + 2)**2*(5*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdynylvn. Give prob of picking 1 n and 2 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 5*s - 4 + 27, -22 = -b + 4*s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4452 - -1.5452. Put -3, k, 110 in increasing order.\nAnswer: -3, k, 110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -179 - -183. Suppose -c*o = d - 14073, 9*d - 5*d - 56292 = 5*o. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 v when four letters picked without replacement from cvcvccvcccvvcc?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1710 divided by -9\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 6:26 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/15 + 21832*t**2\/5 + 65494*t\/15 = 0 for t.\nAnswer: -32747, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 132516, -0.1?\nAnswer: 132516","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**4\/3 - 16*z**3\/3 - 86*z**2. Calculate p(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -2. Let s(i) = f*i**3 + 1 - 2*i + i + i**2 + 0. Calculate s(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 638000688 divided by -8112.\nAnswer: -78649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 = -4*d, -4*m = 2*d - 17 + 1. Suppose m*q - 4*q = 2*p - 14, -32 = -2*q - 2*p. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 48776\nAnswer: -1\/12194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4757568 and 792928.\nAnswer: 4757568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/11944968 and 53\/1108296.\nAnswer: 107504712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**5\/30 - 2*s**4\/9 + s**3\/9 + 4*s**2\/3 - 963*s. Find m such that l(m) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9066 - 103.8.\nAnswer: -104.7066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18102, -2, 3, -17.\nAnswer: -17, -2, 3, 18102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -35*(6 - 11)\/25. Suppose 34 = 9*l + c. Solve l*s = s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (23\/(-2))\/(2\/4). Let k = w - -32. What is the remainder when 16 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -24*b + 100. Let r(t) = -25*t + 100. Let p(n) = 2*a(n) - 3*r(n). Determine p(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 37.5. Let d = 0.04 + 0.36. What is the nearest to 1 in y, d, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15257 less than or equal to 15259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28378*k - 26710*k + 61716 = 0 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1455 + -984. Let l = -470.707 + u. Round l to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*o - 109 + 49 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) 3 (c) -3 (d) -4\/3 (e) 116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {a: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**3\/5 - 276276*j**2\/5 + 1381536*j\/5 + 3868144\/5 = 0. Calculate j.\nAnswer: -69074, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4995491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyhh when four letters picked without replacement from hhhhyhhhhhhhhyhhhhyh?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-1)\/(7\/2)). Let r be 4\/(-26) - (-80)\/520. Let x = r - m. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - 2.5. Let z = 5 - 9. Let s = 0.04 + 0.06. What is the closest to -0.1 in s, z, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111660 is divided by 188?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -14, 0.13, -6, 3, -0.11 in decreasing order.\nAnswer: 3, 0.13, 0, -0.11, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -144*c**2 - 1. Let z(g) = -7*g. What is l(z(v))?\nAnswer: -7056*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 9*s + 6. List the prime factors of u(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57749?\nAnswer: 17, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 - 0.04. Let g = -0.6 + -0.4. Which is the nearest to u? (a) 3 (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + (0 - 37) + (-9 - 4) + 19.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*y + 4*y + 5*t, -5*y - 2*t - 8 = 0. Let c be 2 + 0\/(-1) + 0. Sort c, y, 1 in increasing order.\nAnswer: y, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002100 + -10?\nAnswer: -10002110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*d = s - 61, -3*s = d - 49. Let g = -1 + s. Solve 5*w - g = -2*h, -2*w + 7*w = 2*h + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1649123 is divided by 53193?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-85)\/(-68) - (-2)\/((-8)\/(-77063)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (94\/(-8) - 1) + 7\/(-28). Let q be -1 + 4*1\/2. Which is smaller: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1380110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 4*u = -10*u + 46, v - 5*u - 68 = -84 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74414 and 31833796?\nAnswer: 2566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) - (-1 + sqrt(300))*5) + 0 - (sqrt(300) - (-1 + sqrt(300) + sqrt(300))*-5)*-6)*3)**2.\nAnswer: -279000*sqrt(3) + 10384425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6545148*s**4 - s**2 + 5124*s - 91.\nAnswer: -157083552*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7923 - -0.787609. What is s rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -8*1) + -1. Put -5, 6, a in descending order.\nAnswer: 6, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 13*n - 22 + 5 - 13 - 9 + n**2. Let h be m(3). Let r(f) = f**2 - 5*f - 9. Let u be r(7). Solve -a = -7*s + 4*s - h, s = u*a - 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2470 - -1?\nAnswer: -246b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 399343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 20 = -3*v, 201*v - 199*v = 5*t + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7495984*u - 3910850 wrt u?\nAnswer: 7495984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.7 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 12888360.\nAnswer: -1\/2148060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -32572.5 to the nearest 100.\nAnswer: -32600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -11*k. Let a(b) = -11*b + 1. Let t(g) = -3*a(g) + 2*p(g). Suppose -m + 6 = 2*m. Is t(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6322792*m**2 + 237*m - 5514.\nAnswer: -12645584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/1547656 and 73\/264?\nAnswer: 4642968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - u - 24 = -2*u, -16 = -4*u. Let h(f) = 3*f + v*f - 6*f. Let g(y) = 5*y. Give 3*g(t) - 8*h(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + f. Let m = 69 + -49. Suppose 13*a + m = 14*a. What is the remainder when t(7) is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18792 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**5 + 48*z**4 + 138*z**3 + 136*z**2 + 45*z = 0.\nAnswer: -45, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) 4 (c) -94\/39 (d) 1 (e) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**5\/17 + 186*y**4\/17 + 83360*y**3\/17 - 10139864*y**2\/17 + 29833344*y\/17 - 19777024\/17 = 0. Calculate y.\nAnswer: -214, 1, 2, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**3\/3 + 1686*t**2 + 3031*t\/3 - 674 = 0.\nAnswer: -1011, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - i - 1. Let q(p) = 70*p - 19*p - 4*p**2 + 6 - 45*p. Let n(j) = j**3 + 9*j**2 + 7*j - 2. Let z be n(-8). Calculate z*k(f) + q(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 3*n + 4 - 2)*(n**4 - 2*n**4 - 2*n**4).\nAnswer: 6*n**5 - 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22836 is divided by 240.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -704 or -2\/5?\nAnswer: -704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2605420 + 2605420 + 4309*g to s + y*g and give y.\nAnswer: 4309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.35 rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**5\/270 - 10*i**4\/27 - 400*i**3\/27 - 10*i**2 + 121. Let j(x) be the second derivative of p(x). What is o in j(o) = 0?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -516644138.\nAnswer: -516644137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(209))\/sqrt(11) - ((sqrt(19) - sqrt(931)) + 1))**2.\nAnswer: -6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 19*a - 13. Let h(q) = 9*q - 6. Let b(u) = 13*h(u) - 6*n(u). Let i(w) = 0*w - 3*w + 109918 - 109917. What is b(i(y))?\nAnswer: -9*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwclclcwwccwluw. What is prob of sequence wlu?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562533*l - s = 562530*l - 2, s + 2 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -45. Which is the second biggest value? (a) -0.5 (b) d (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -288, -290, -286, -270, -236, -178, -90, 34?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 23.31268 litres?\nAnswer: 23312.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 77 + 83 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n**2 + n - n)*(-8 + 24*n**2 + 8) + 4*n**2 - 4*n**2 - 4*n**4 - 6*n**4 + 4*n**4 - n**4 as y*n**2 + c*n**3 + p + i*n + a*n**4 and give a.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 8, -5*k + 240*z = 237*z - 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/13)*(j\/j**21)\/j)\/(j**(-12\/11)*j)**(34\/3))**(-7\/5) assuming j is positive.\nAnswer: j**(12040\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 3*c**2 + 5*c. What is j(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (13\/((-1430)\/22))\/(-12*2\/(-20))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*n + 15, 2*y + 35 = 6*y - n. Find the first derivative of 12*c + y*c - 3*c + c + 41 wrt c.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/28 + (-206)\/14. Let q = -11 - s. Suppose q*k + 20 = 2*r, -2*r - 5*k + 125 = 3*r. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 29358?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/4 + 7*g**4\/4 - 27*g**3\/4 + 29*g**2\/4 - 5*g\/2 = 0. What is g?\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/2146407 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1086377 and 6232?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/17)\/((-259231)\/(-151963)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*f = 2*k - 47, -4*k - 5*f = -73. Let h be (-2 + 8)\/(0 + 2). Suppose h*w - 4*w = -k. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 5588 + 684. Is 28 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/30*8640\/256\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -q + 5*h + 194, -3*q = -3*h - 870. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165822 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = -2*t, t + 2*l = -3*l + 22. Suppose 0 = 4*r - 3*r - 3*k + 12, -5*k - 14 = 4*r. Let g = r - t. Put -4, g, 3 in ascending order.\nAnswer: -4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*s + 26*l + 286, -6*s + 2*s + 6*l - 2*l + 51 = -s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*-1 + sqrt(190))*-6 + (4*-3*sqrt(190) - sqrt(190)))\/((sqrt(640) + sqrt(640)*-2)*5 - (sqrt(640) - -4*sqrt(640)*-1)).\nAnswer: 13*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-25)\/12)\/(-1 - (-35)\/(-21))?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*(4 + 44\/(-12)). What is the second smallest value in -5, d, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1910460 divided by 15\nAnswer: -127364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -5, -0.33, -27\/8, -1?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 468*w + 16. Let s(d) = 11*d - 2. Calculate f(c) + 6*s(c).\nAnswer: 534*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 9*i**3 - 7*i. Let n be (-2)\/(-9) - (-258)\/54. Let s(f) = 5*f**3 - 4*f. Suppose 5*h = 7*h + 6. Determine h*t(m) + n*s(m).\nAnswer: -2*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 32*v**2 - 73*v + 19. What is the remainder when n(29) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41385420 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/3 and -24\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99861524?\nAnswer: 2, 7, 971, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -15*s - 28. Suppose 66*r = 67*r - 11. Let y(x) = 2*x + 2*x - 7*x + r*x + 15. Let h(a) = 6*f(a) + 10*y(a). Differentiate h(m) with respect to m.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/6*144\/(-672)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6*8\/((-24)\/(-2879))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35603\/10 - 3560. Determine p so that 1\/10*p**2 + w*p + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-3 + (2 - -2)). Let d = o + 16. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, s: 2}. What is prob of sequence wws?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1028\/7)\/(-5 + 170\/30). Let d = 216 - l. Is d at most -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 5*m - 7*m. Suppose -3*c - 2 = -4*b, -3*b + 0 = -2*c - 2. Let d(n) = -n + n - c*n. Give s(d(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s**3 - 2*s**2 - 3*s + 3. Let g = 27 - 22. Let b = g - 3. Let v(w) = -3*w**2 - 4*w**3 - 2*w - 5*w**b + 2 + 6*w**2. Determine 3*v(h) - 2*x(h).\nAnswer: -2*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/184, 108, -2, 18.\nAnswer: -2, -1\/184, 18, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*j + 800 = 0, -2*j - 2202 - 1088 = -4*m. Is 33 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 83, 6\/5 in decreasing order.\nAnswer: 83, 6\/5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/13)*y*y**4)**8 assuming y is positive.\nAnswer: y**(536\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -214*f + 215*f + 3*k, -3*f + 7 = k. Solve -2*w + 2 = -f*h, 3*w - 20 = -2*w - 5*h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*p - 4*p - 22 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 57 = -3*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124563 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31304 = 22*t - 9*t. Does 28 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363399599 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 7) + -10 + 6 + (-3 - -7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + z)*(5924 + 633 - 1198) in the form l + a*z and give a.\nAnswer: 5359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -221, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q + 25*q - 10*j = -20*q + 3 + 27, 0 = -j - 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2357 - -2352. Sort -1, -0.1, s, -10 in descending order.\nAnswer: -0.1, -1, s, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 67*c + 512. What is b(33)?\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 80\/(-36) + 2\/9. Let s be (6\/4)\/(y\/(-4)). Let a(b) = -27*b**3 - 2*b**2 + 56*b**3 - 28*b**3. Give a(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-9\/2))\/n*n*n**17)\/((n\/n**11)\/n**(-4\/13)))**(3\/4) assuming n is positive.\nAnswer: n**(1809\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d**(-1\/8)\/d*d*d)*d\/(d\/d**12)*d)**(-3\/14))**(-5\/4) assuming d is positive.\nAnswer: d**(1335\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -57*k + 0 + 55*k + 0. Let q(x) = x**3 + 7*x**2 + 5*x - 4. Let c be q(-6). Let j(n) = n**c - n + n. Determine j(f(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.1 and 2\/23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8568*q**3 + 51*q**2 + 153*q + 51. Let i(u) = 659*u**3 + 4*u**2 + 12*u + 4. What is -4*g(r) + 51*i(r)?\nAnswer: -663*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -2\/221 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odvv when four letters picked without replacement from {m: 3, o: 5, d: 5, v: 2}?\nAnswer: 5\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from howoohwkewukokkho. Give prob of sequence hkku.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(1\/12)*t)\/(t**(-13)\/t))\/(t*t**5)**(-8))**(-29) assuming t is positive.\nAnswer: t**(-22301\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-24)\/32)\/(3\/8))\/(-2). Which is bigger: n or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5174 - -2672442739.\nAnswer: 2672442739.5174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13215672 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625731.\nAnswer: 3, 208577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568*j - 3834*j - 16371 - 20761 = 44518 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -36835627?\nAnswer: -2\/36835627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 3*r**2 - r - 3. Let x = 4 - 7. Let t(g) = 2*g**3 + 6*g**2 - 2*g - 5. What is x*t(i) + 5*b(i)?\nAnswer: -i**3 - 3*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {l: 1, u: 2, k: 1, g: 2, s: 2, q: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*q - 270 = 62*q. Let o be (-1316)\/1608 - 45\/q. Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u + 32 = 0. Suppose -28 = -5*o + u. What is the second derivative of -5*f**2 + 6*f + o*f**2 - 4*f + 5*f wrt f?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-5)\/(-20)) - 2\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00307086818 rounded to 7 dps?\nAnswer: -0.0030709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -1442?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 66354486.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153529271*x = -153529092*x - 3401 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -32391 times -9?\nAnswer: 291519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 118 and 274.\nAnswer: 16166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016339 to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318 by -1.\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 180237?\nAnswer: 1441896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x. Let g(r) = 2*r - 254. Calculate p(g(j)).\nAnswer: -2*j + 254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 229850678 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 + 175*k + 30 + 52*k as l*k + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -2*p - 69, -3*j + 4794471*p - 4794466*p = -195 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14329*r + 135*r**2 + 14332*r + 42*r**2 to the form d*r + v + f*r**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -173962, -172013, -170064, -168115, -166166?\n\"Answer: 1949*r - 175911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - v + 2 = 0, 19*v - 18*v = 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-1*sqrt(30) + sqrt(30)) + (sqrt(30) - -3*sqrt(60)\/sqrt(2)))\/(sqrt(250)*1 + sqrt(1440)*3)*-2)**2.\nAnswer: 192\/1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 18 = -13*b. Solve 9 + 6 = b*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5748 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from {c: 5, p: 1, s: 1, m: 11, q: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 4 - 2) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 14*n**2 - 24*n - 12. Let r = 328 - 335. What are the prime factors of s(r)?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36.69 - 38.8. Let f = a + 2.1258. Round f to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80967600 divided by -119952\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -56314632 divided by -134724?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 34*b**2 + 410*b - 3117. Determine f(42).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i. Let a(u) be the third derivative of u**6\/60 + 37*u**2. Let b = -1 + -1. Determine b*s(m) - a(m).\nAnswer: -2*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -4. Let u be 1\/((8\/(-12))\/v). Let f(c) be the second derivative of c**5\/20 - c**4\/3 + c**3\/6 + c**2\/2 - 3*c. What is f(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -34031323?\nAnswer: -34031323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*y + (-6*y + 2*y + 2*y)*(0 + 1 - 2) + y + 2*y - y - 2*y + 2*y + y)*((2 - 4 + 1)*(-10 - 13 - 78) - 2 - 2 + 3)*(5*y**3 + y**3 - 4*y**3).\nAnswer: 600*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 c, and 1 q when three letters picked without replacement from chqqqcsuqsc.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 48, -1\/6, 2181 in ascending order.\nAnswer: -1\/6, 2, 48, 2181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1388220)\/(-27) - (86\/9 + -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-418159)\/20)\/7 - 60\/(-300). Let y be 2\/6 - 35705\/(-12). Let n = g + y. Find the common denominator of -55\/16 and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 3 - 4*r**3 + 3 + 3*r**3.\nAnswer: -r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 139420648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11628 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - -36. What is the remainder when (72\/(-5))\/(22\/1320*-9) is divided by c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 3:42 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/480 and 49\/200.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10604?\nAnswer: 2, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/11, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 10*l**2 + l + 6. Suppose -2*r = r + 30. Let g be q(r). Let i = 5 + g. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*f + 40, 3*n + 17 = 4*n - 4*f. Let h be (0 + 1)\/(n\/(-9)). Suppose 0 = 3*u + 4*v - 20, -u - 4*u + v + 41 = 0. Solve u*w = h*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/(-120)*-2 - ((-7191)\/(-204) - 37)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 0.2029?\nAnswer: -3.7971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 - v + 23*v - 22*v.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/2105154 and -59\/18.\nAnswer: 2105154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 77*t**2 - 8*t + 8. Let b(v) = 19*v**2 - 2*v + 2. Let j(n) = 9*b(n) - 2*c(n). Is j(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(175) + -2*(sqrt(175) - (sqrt(175) + -2*sqrt(175) + sqrt(175) - sqrt(175))) + sqrt(175) - sqrt(175)).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 - -66. Let q(s) = -7*s - 5. Let n be q(c). Put -1, n, -4 in descending order.\nAnswer: n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1794, -2914, -4794, -7440, -10858?\n\"Answer: -b**3 - 374*b**2 + 9*b - 1428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000015391403568 to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/9)\/(6\/9). Suppose -2*i - 2 = f*a + 2, -5*i = 5. Let x be 8 + (a - 1) + 2. Solve -l + x = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 5*j**2 + j - 5. Let r be w(-5). Let o(y) = -2*y**3 - 25*y**2 + 158*y + 1237. Let v be o(-15). Sort 2, v, r in increasing order.\nAnswer: r, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -8*z**4 + 0*z**3 + 0 + 12*z - 1\/15*z**5 - 3*z**2. Suppose x(n) = 0. What is n?\nAnswer: -48, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 11:18 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11559937 or -11559935?\nAnswer: -11559937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(2 + (-2)\/2). Suppose 5*r - 39 = -y. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((575\/90)\/23)\/((-10)\/6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 0*u + 5*u = 0, 2*n - 2 - 1 = 3*u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*v**2 + 6*v**2 + 14*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(7\/2)*l)\/l*l\/l**(-6))**(-26))**29 assuming l is positive.\nAnswer: l**(-7917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 1. Let w = d - -3. Let o = w - 1. Put -3\/4, 0.5, o in ascending order.\nAnswer: o, -3\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-6 - -2)) + 1 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4\/5 - 10472*c**3\/5 + 25376437*c**2\/5 + 10865299458*c\/5 + 21629009376\/5 = 0. Calculate c.\nAnswer: -368, -2, 5421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**3 + 9*k**3 + 16*k**3 - 7*k**3.\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898996001.\nAnswer: 19, 31, 1091, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34761, -34742, -34709, -34656, -34577, -34466?\nAnswer: -34317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*k + k = 8*k. Let m be (-1)\/14*16\/268. Which is smaller: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -314*d**2 - 2*d. Let l be m(-1). Let q be -6 - l\/54 - (-14)\/(-18). Is q + 5148 - (3 + -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4\/17 + 1266*s**3\/17 + 206780*s**2\/17 + 1543800*s\/17 - 147994000\/17 = 0.\nAnswer: -310, -35, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + ((-4)\/4)\/(4\/16). Let d be z\/40 + (-42)\/15. What is the tens digit of d\/7 + 6\/14 + 197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -5 (c) 0.5 (d) 2\/23 (e) -2\/7 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2552 and -5.21687.\nAnswer: 2546.78313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j. Let r(y) = y**2 - 4. Let b(n) = -n**2 - 3*n + 2. Let d be b(-2). Let f(s) = 2*s**2 - 11. Let t(q) = d*f(q) - 11*r(q). Give g(t(i)).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -28 - (1 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -84, -48, 2, 66?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v**2 - 48*v - 38. Determine j(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -36, -8, -1\/5, 427?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20559, 41138, 61713, 82284?\n\"Answer: -2*c**2 + 20585*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**5\/60 + z**3\/3 - 6*z. Let o(q) be the second derivative of n(q). Determine o(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q**3 + 30*q**2 + 17*q - 5. Let c(k) = k + 1. Let l(h) = -2*a(h) + 2*c(h). Factor l(x).\nAnswer: -4*(x + 1)*(x + 3)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(7\/6))\/((-15)\/(3780\/(-468)))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 422432?\nAnswer: -422431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 5*f - 25, 225*f - 187*f - 3*z = 129 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -6 + -4 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 285*s**2 + 591*s**2 - 256*s**2 - 4 + (-2*s - 2 + 2)*(2*s - 6*s - 11*s) to i + g*s**2 + f*s and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-322)\/(-315) + (-10)\/45.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 575*r**2 + r. What is the units digit of q(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.790374 months to centuries.\nAnswer: 0.005658645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296286 and 93081.\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -5 (c) -30\/7 (d) 2 (e) -2 (f) -11043 (g) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**5\/9 + 562*a**4\/9 + 12302*a**3\/9 + 28342*a**2\/9 + 22046*a\/9 + 5440\/9 = 0. What is a?\nAnswer: -17, -1, -1\/2, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 592147 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1017*u**3*x - 2*u**2*x - 736*x wrt u.\nAnswer: -3051*u**2*x - 4*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 18. Let f = h - -4. Let q(y) = f*y + 6 + y**2 - 5 - 3. Give q(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 + (0 + 10 - (-3385 + 183)) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -311\/1230?\nAnswer: -311\/1230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (7 + 8 + -45).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 393*a**2 - 38*a + 77. List the prime factors of y(12).\nAnswer: 67, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1249051, 1249052, 1249053, 1249054, 1249055, 1249056?\nAnswer: 1249057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 182 - 189. Sort 2, 1, -8, j.\nAnswer: -8, j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -607*i**2 - 233*i**2 - 56*i**2 + 1381*i**4 - 26*i**5 + 28*i**5 wrt i?\nAnswer: 120*i**2 + 33144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 360 divided by -6\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 30*n**3\/11 - 420306*n**2\/11 + 8478060*n\/11 - 1678800\/11 = 0.\nAnswer: 1\/5, 20, 13990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -672 - -677. Solve -3*d - 9 = -3*q, -3*d + d = n*q - 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 divide 67860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33455663 + 1?\nAnswer: 33455664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**3\/6 + 21*v**2\/2 - 37*v. Let p be o(7). Let t = -14 + p. Solve 3*q - q = t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-2 + 0 + 4 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -50*x. Let m = -1697 - -1653. Let s(l) = 2*l. What is m*s(r) - 2*h(r)?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t. Let g be p(1). Let y be 38*g + 2 + -1. Suppose -y = 2*o - 5*o. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 88\/(-12738)*(-3)\/2. Which is the third smallest value? (a) r (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 10 = 7*r - 9*r, -5*n = -25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 1 + 8*a**2 + 22*a - 20*a**2 + a**2. Let d be s(2). Solve -5*q = -d*v, -q + 0*v - 2*v - 9 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9816186 and 48411?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1750*0.4\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 6*c. Suppose 3*a + a - 32 = c. Solve -b + a = 4*n - 8, -5*n + 27 = 3*b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50.9 + 51. Sort m, -3, -0.9 in descending order.\nAnswer: m, -0.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + (-26)\/6)\/(24\/(-360)). What is the closest to 1 in s, 2, -47?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -5. Which is the biggest value? (a) -1 (b) 2\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31704679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 - 3)*(0*b + 2*b - 4*b) - 27*b - 87 + 174 - 88 to the form g*b + i and give g.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.531 - 32.531. Is -28 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 215778 and 3861.\nAnswer: 277706286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - p + 85, -2*p + 4*p + 10 = 0. Suppose -3*h + x = 3*g, -33 - 27 = -5*g + 5*h. Calculate the remainder when 16 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4040256 - -134?\nAnswer: 4040412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205069 and 467.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 2:29 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8521803.\nAnswer: 3, 37, 157, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -8. Suppose x*y = -5*y - 36. Let b be (-39)\/(-15) - 4\/2. Sort y, b, 26 in decreasing order.\nAnswer: 26, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-21) - (-680)\/(-2380)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*w**3 + 65*w**3 + 55*w**3 - 191*w**3 + 40*w**3.\nAnswer: 41*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 30 = -13795*g + 13800*g, 4*g = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5431*u*x - 15652*x wrt u?\nAnswer: 5431*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 7*u + 10*u - 18, 3*k + 5*u = 29. Suppose -5*y + 3*l = -5286, 5*y + 2*l = -k*l + 5270. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1261763 (base 8) to base 12\nAnswer: -15052b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(56\/12 + -5). Let q = -10 - -19\/2. Let l = x + q. Is l smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*z - 23 = -80*z + 5*b, 5*z + 2*b = 0. Factor 27\/8*r**z + 3\/8*r**3 + 9*r + 6.\nAnswer: 3*(r + 1)*(r + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 12:52 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -424*d**7\/35 - 829*d**5\/15 + 792*d**2 + 3*d. Find the third derivative of z(r) wrt r.\nAnswer: -61056*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 43*i + 94. What is n(-8)?\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3674205 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 11*q + 1. Let h be x(2). Is -0.2 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33 - (-4)\/(1 - 5). What is the greatest common divisor of 48 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6*(18 - 264\/16). Let l(x) = -3*x + 4*x**2 + 116*x**3 + 0*x**2 - 3*x**2 + 1. Is l(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 5. Let r = 18 - 11. Let w be m(r). Suppose w*n + 4*f - 84 = 0, 2*n - 2*f - 2*f - 100 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 2:17 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*p = -4*i + 170, 0 = 3*i + p - 134. Suppose -7*t + 16 = -3*t. Calculate the highest common divisor of i and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -5. Suppose -6*n + 2*n = 0. Let k(z) = -z**3 - z + 5. Let c be k(n). Solve -3*y = 0, p*y - c = r + y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9583 - 9581. Sort -5, 46, -0.5, r in descending order.\nAnswer: 46, r, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/2996 and 157\/126?\nAnswer: 26964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (644*d**3 + 2 - 4 - 3341*d**3 + 2)*(3*d - 4*d + 2*d) to t + j*d + r*d**2 + a*d**3 + g*d**4 and give g.\nAnswer: -2697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, y: 2}. What is prob of sequence yg?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320956 divided by -382?\nAnswer: -3458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - 443*y + 22054. Calculate f(146).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 525*h + 1564. What is a(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127 + -128. Suppose -5*n + 2*a = -23, -2*n - 2*n + 24 = -3*a. Suppose -n*t = -5*t + 2. Put g, t, -5 in decreasing order.\nAnswer: t, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o. Let p(y) = y - 3. Let n(a) = i(a) - 4*p(a). Let c = -45 - -30. Let m be n(c). Let j(f) = f**2 - 1. Let q(d) = -2*d - 1. Determine m*j(r) + q(r).\nAnswer: -3*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, m: 6}. What is prob of sequence bmbb?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 24 - (3 - 2 - (16 - 29)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oououbueeupoooou. What is prob of sequence ee?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20046341 = 3*g + 87546338. Let x be 0 - g - (1 + (2 - 4)). Round x to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + -3)*(-2)\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b6 - 65?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3 - 13378*a**2 - 2*a - 5282 wrt a.\nAnswer: 6*a - 26756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -461432421?\nAnswer: -461432416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.022 (b) -2\/3 (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 135\/25 + 6\/(-15). Suppose -t*z - 4*p + 43 = 0, -4*z + 59 = -7*p + 2*p. Solve 4*c - 7 + z = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/10280 and 43\/14.\nAnswer: 71960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22941 - -22958. Solve -12*g = -w*g + 5*v + 10, 4*g + 2*v - 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -240.9 - -254. Let i = -13 + y. Suppose -3*c + 8*c - 25 = 0. What is the nearest to i in -2, -2\/5, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(95)\/sqrt(5) + sqrt(19) + 2.\nAnswer: -3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1316 and 1759639.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019317 rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2413184 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 69, -5\/8 in descending order.\nAnswer: 69, -5\/8, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 344 and 11438?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a hour in seconds?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/18 + (-50)\/38700*-43. Sort -1, 3, -739, l, -3 in decreasing order.\nAnswer: 3, l, -1, -3, -739","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 9. Suppose 4*t + 3*p - 83 = 0, -t + v*t = p - 22. Let z = t + -11. Calculate the least common multiple of 1 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbgggbvv. What is prob of picking 1 g and 2 b?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 - 33080038743017*f**2 + 33080038743017*f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1658, -1654, -1648, -1640, -1630?\nAnswer: -1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 65611538 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4820*v + 2119*v = 578559 - 134463 for v.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 6*v + 9. Suppose -a - 1 = -7. What is the units digit of m(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.19.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -268565320 divided by -680?\nAnswer: 394949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 1. Let y(c) = 3*c - 3. Suppose -3 = -13*w + 15 + 60. Determine w*u(k) + y(k).\nAnswer: -3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x + 4. Let n be d(-3). Which is the closest to n? (a) -4 (b) 0.04 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13678488 and 522?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 4*o - 82, 4*d - 390 = -o - 449 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(468) - -6*(-1 + sqrt(468)) - sqrt(468))**2*-3 + (sqrt(13) + 6*(-1 + sqrt(13)) + 3)**2 + -3).\nAnswer: -3762*sqrt(13) + 150027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 6:08 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*(-360 - -353 - (0 + 2 + -10)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 507 + -981. Let u = 8056\/17 + s. Let r(g) = g**2 - 2*g - 1. Let o be r(3). Which is the closest to 0.2? (a) -1\/6 (b) u (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -344, -561?\nAnswer: -778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 986199371 * -0.4.\nAnswer: -394479748.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424*n - 78 = 385*n. Solve -8 = -o - n*w, o = w + w - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5 - 14*v**4 + 24*v**3.\nAnswer: 2*v**3*(v - 4)*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 900122489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-5 + (-836)\/(-154). Sort 5, -0.1, 0.3, k in descending order.\nAnswer: 5, k, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -170 + 304. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.31, 1765\/2, 0.4?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, z: 14}. What is prob of sequence zfff?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18885406*t + 11620069 wrt t?\nAnswer: -18885406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174\/(-29) - (-439 - 1).\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.74 from -992.952249.\nAnswer: -992.212249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20, 5, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 3.64?\nAnswer: 0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - g = -11, -5*q - 5*g = -g - 23. Suppose -5*w + 430 = 5*w. Suppose 0 = q*d - 4*c - 35, -d = 2*d + 4*c - w. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w. Let z = 5 + -5. Let q(r) = z*r + 3*r - r. Determine o(q(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/((-273)\/14)*((-282)\/94)\/((-12)\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -2*v - 94. Calculate the highest common divisor of v and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139810 a multiple of 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27428 and 52?\nAnswer: 356564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3 = -n + 30, 0 = 4*n - 5*y - 108. What are the prime factors of (5 - 141\/n) + (-5314)\/(-18)?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-9)\/((-27)\/58)*9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1656*q**2 + 241*q**2 - 1888*q**2.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**2 + 9*x - 8. Let q(d) = d**2 - d + 1. Calculate 6*q(a) + r(a).\nAnswer: a**2 + 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 4:37 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11 or 0.01366?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 244992250 to the nearest one million.\nAnswer: 245000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153349029 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 2. Let d be x(2). Suppose 2 = 2*a - a. Sort d, a, -5 in descending order.\nAnswer: a, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/96 and -151\/108.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2 plus 18.79094?\nAnswer: 24.99094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 12*t + 12. Let o be u(12). Solve 2*x - o = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2760913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6055 + -6056. Put g, -1\/2, -29, 0.3 in increasing order.\nAnswer: -29, g, -1\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11368 and 1044?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -216.56764 - -0.29764. Let x = -218 - q. Let a = x + 1.7181. What is a rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r = -3*h - 1155, -2*r - 5*h = -462. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 99356.37 nanograms?\nAnswer: 0.00000000009935637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 516838 (base 9) in base 10?\nAnswer: 306863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 942832?\nAnswer: 4714160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 + 7*n + 18. Let v(a) = a**2 + a + 4. Let b(w) = -s(w) + 5*v(w). Is b(2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1586*m**3 - 35*m**2 + 2 wrt m.\nAnswer: 9516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -447 divided by -55.\nAnswer: 447\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*l = 416 + 212 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, d: 2, h: 2, u: 1, b: 1, m: 1}. Give prob of sequence dbhd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -76 - 5737b?\nAnswer: -57435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35.9*0.1.\nAnswer: 3.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 756\/(-8)*((-34 - -34) + 6*(-4)\/42).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 463*w + 63. Let f(r) = -466*r - 62. Let g(z) = 3*f(z) + 4*y(z). Is g(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 212, 426, 640, 854, 1068, 1282?\n\"Answer: 214*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291968, 291936, 291904, 291872?\nAnswer: 291840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (460*f - 381*f + 596*f)*(4 - 1 - 2)*(0 + 0 + 2*f**3).\nAnswer: 1350*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(34)\/sqrt(2)*-4)**2*-1*-4 + (5*(-4 + sqrt(17) + sqrt(425)*-1 + sqrt(425) + 5))**2.\nAnswer: 50*sqrt(17) + 5890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 >= 523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 707 + -705. What is the third derivative of 24*m**3 + 11*m + 4*m**4 + 3*m**3 + 73*m**t - 68*m**2 wrt m?\nAnswer: 96*m + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*w**5 - 1116*w**4 - 259280*w wrt w?\nAnswer: -400*w**3 - 13392*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0 + 3 = 0. Let y be (-15)\/6*2*j. Let l(p) = -p**5 + p**4 + 1. Let s(q) = -7*q**5 + 7*q**4 + 5. Let t(i) = y*l(i) + s(i). Factor t(o).\nAnswer: -2*o**4*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 - 25) - (-179 - -175)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/15 + -2)\/((-7)\/1120). Let g = q - 62. Suppose 3*v - 2*j = -6, 0 = -4*v + 3*v - 3*j + 9. Solve v = -2*r + r + g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 329\/564*(-288)\/7308?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*4*-1)**2 + (sqrt(128) - (sqrt(128) + sqrt(128) + -2 + (3*sqrt(128) - sqrt(128)))) - (-2 + sqrt(128) + -3 + -2 + sqrt(128) + -1)**2.\nAnswer: 232*sqrt(2) + 1474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 10*d - 81. Calculate h(9).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**4\/12 - 7*s**3\/6 - 28*s. Let o(v) = 15*v - 9. Let q be o(1). Determine x(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a2 + 3032?\nAnswer: 30d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -13*k**3 - 3*k**2 - 7*k - 7. Suppose o + 0*i = -5*i + 7, -5*o - 3*i + 35 = 0. Let y(x) = 6*x**3 + x**2 + 3*x + 3. Calculate o*y(f) + 3*l(f).\nAnswer: 3*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjjjtfjddfjjtjjf. Give prob of picking 1 j and 1 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6301 (base 7) in base 3?\nAnswer: -10000201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*b**2 + 2*b + 4*b**3 - b**3 - 79 + 40 + 2*b**4 + 37 to the form c*b + m*b**4 + r*b**3 + y*b**2 + j and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 15 = 5*x, 23*x = 28*x + 5. Let t be ((-2)\/28)\/((-5)\/(-4)). Which is the closest to t? (a) s (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5727 and 46516686.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -0.07, 12, 3\/187, -5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3, 4, -2 in increasing order.\nAnswer: -10, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2049 + -2049.454. Is t smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 4)*(-14*a - 36*a + 33*a)*(-2 + 2 + a) to the form b*a**2 + t*a + n and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 5:21 PM?\nAnswer: 276","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*x = h - 69*x - 20, 0 = 2*h + 2*x - 32. Calculate the remainder when 979 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*a**2*s - 73323*a**2 + a*s - a + 233798*s - 5 wrt s.\nAnswer: 4*a**2 + a + 233798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*c - 11. Let x be 14\/35 - c\/(-5). Let u(k) = -k + 10. What is the units digit of u(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/15 - 202804\/(-420). What is the highest common factor of n and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4*c**8)\/(c**(-13)*c*c*c**(-5)) assuming c is positive.\nAnswer: c**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.82362 from -1.1.\nAnswer: -0.27638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 31*z**2 - 29*z + 48. Calculate the remainder when y(-30) is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2553 (base 7) in base 10?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*a + 5*a + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 133111103 (base 4) in base 5?\nAnswer: 13101324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 33*p - 4. Is z(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**3 + 56*y**2 + 6*y - 12. Let r(b) = 3*b**3 - 55*b**2 - 5*b + 10. Give -6*r(j) - 5*x(j).\nAnswer: 2*j**3 + 50*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -15*b**3 - b**2 - b. What is o(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 5 (c) 0.3 (d) -17\/20 (e) 3\/2 (f) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 20.7934, -15\/8 in ascending order.\nAnswer: -15\/8, 20.7934, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -84) + -2151 + 2104.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17864238 divided by 4?\nAnswer: 8932119\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 211030112230 (base 4) in base 6?\nAnswer: 544550324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1001 + -689. What is the highest common divisor of 416 and o?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 8*j**2 - 12*j + 3. Let c be b(5). Find the first derivative of -6 - 5 - c*a**2 - 9 wrt a.\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 5:31 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*y = -8, 4*t + t - 35 = -3*y. What is the first derivative of -305 + 163 + 24*d**t + 180 wrt d?\nAnswer: 96*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725 = 85*f - 130 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -6195\nAnswer: 309.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 6*b**2 - 6*b. Let x = 55 + -56. Calculate the remainder when (81\/(-6))\/x - 2\/4 is divided by q(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 4. Let b be (18\/j)\/(2\/3). Let z be b\/78*4\/3. Sort z, -2\/17, 0.2 in ascending order.\nAnswer: -2\/17, z, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/18 and (47\/488)\/(15\/60).\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i**2 + 29*i - 12. Let b(g) = 3*g**2 + 14*g - 6. Let z(u) = 9*b(u) - 4*r(u). Let q = 2278 + -2268. What is z(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l - 15. Let k be z(10). Suppose n = -o, 2*o + 4*n - n = -k. Solve -4*h = 3*i + 22, 0 = o*h + 3*i - 4*i + 18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*c + 25 - 121 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*i**3 - 353*i**3 + 45 + 50 - 3*i**2 - 12.\nAnswer: -i**3 - 3*i**2 + 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -902 + 3609\/4. What is the closest to -0.03 in a, 10, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k - 119. Let a be p(-17). What is the nearest to a in -0.22, 1\/5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 3 - sqrt(7))*1 + (-4*sqrt(63))\/sqrt(9).\nAnswer: -4*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a + 21. Let z be k(-7). Solve -2*d + 6 = -z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 70 = -5*h + 45, -4*g = 5*h - 96. What is the remainder when 151 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5963 - 47781\/8. What is the common denominator of 39\/10 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27673, -55346, -83019?\n\"Answer: -27673*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2413\/140 - 489\/20. Calculate the common denominator of (-10)\/16*(-29)\/10 and b.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9005210 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4aed + -3?\nAnswer: -4af0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-182)\/16)\/(((-13585)\/(-760))\/143)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 17)*(-6352)\/32. Is (w\/(-20))\/(4\/(-10)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrrrlmrrrlyml. What is prob of picking 1 v, 1 l, and 1 m?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 455?\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/(14\/((-280)\/(-15)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17365, 17376, 17389, 17404, 17421?\nAnswer: 17440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 32 + (-20 - 104).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/25, 4, 10, 0.3 in decreasing order.\nAnswer: 10, 4, 0.3, -6\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (1 - 0) - -9. Suppose 0 = 5*r - q*r. Let v be (-1 - -1)\/(-1 + 2 + r). Solve v*c - c = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*a = -44*a + 23*a + 120 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -104 - -109. Let a(i) be the second derivative of 2*i - 7\/2*i**3 - 5\/4*i**4 - 9\/2*i**2 + 0 - 3\/20*i**s. Factor a(j).\nAnswer: -3*(j + 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = q, 4*q + 18 = a + a. Let r = -3 - -3. Suppose 5 = n - r. Solve 4*c - n = -a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.38 + 3.37999797. What is z rounded to 7 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (1 + 0 + -3). Suppose -a*f + 2 = -2. Suppose 3*o - 30 = -f*o. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from ycycrryrcrrycrrc.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/5, 25, 2, -3\/2, -0.2?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -6. Differentiate 1 + r*f - 3 - 1 + 5 wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 228 + -25. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 11105*n - 142 = 11101*n, -3*n = -4*f - 105 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.7584086 meters?\nAnswer: 758.4086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -1942906.\nAnswer: 24\/971453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73650176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -593*i**3 - 6*i**2 + 6*i**2.\nAnswer: -593*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 d, and 2 y when four letters picked without replacement from drrdmyndnnrryd.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s**3 - 2*s + 2. Let i = 28166 + -28181. Let l(c) = 14*c**3 + 5*c - 5. What is i*h(f) - 6*l(f)?\nAnswer: 21*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47175 is divided by 11792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*b - 3\/2*b**2 - 54.\nAnswer: -3*(b - 18)*(b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**4\/6 - n**2 + n - 3. Let k(v) be the first derivative of g(v). Factor k(f).\nAnswer: 2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12676 + 12682. Solve -h - 5*o - 5 = 0, 6*h - b*o + 5 = -11*o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 780 and 69264.\nAnswer: 346320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -3.86. Let m = 0.435 - -7.705. Let x = m + l. Which is greater: x or 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 - 18 - 92 - x**3 + 15*x - 6 wrt x.\nAnswer: -3*x**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -497236 to the nearest 1000.\nAnswer: -497000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 21*q**2 - q + 9. Let u be w(4). Let k = u + -137. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 768.09281 - 0.76481. Let o = f + -798.3. Let b = -31 - o. Round b to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*d + 26, -3*d = -3*y + 32 - 8. Let k = d - -27. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85694, 685564, 2313798, 5484578, 10712086?\nAnswer: 18510504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.3, 2124, -3\/8, -18, -2, -12, -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*o - 180 = 0. Let m(y) = -21*y - 2. Suppose 0 = 3*w + 3*s + 3, 0 = 2*w - w - 3*s + 1. Calculate the remainder when o is divided by m(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 + 13 - 27 - 2*g**3 - g**2 + 13 + 0*g**3 in the form a*g**2 + b*g + m*g**4 + i + r*g**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/8 (b) 0 (c) -28 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3 = 0, 177*q - 181*q = -5*b + b - 112 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 247 - 244. Suppose -d*j + 1650 = 5*w, 3*w + 4*j - 979 = -0*j. What are the prime factors of w?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212814 and 378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 7:59 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 117, -0.4, -3, 1, 31, 0.\nAnswer: -3, -0.6, -0.4, 0, 1, 31, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjxj. What is prob of sequence xj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -556, -593, -700, -913, -1268?\n\"Answer: -6*u**3 + u**2 + 2*u - 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28541 is divided by 223.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 25*k - 7*k + 37 - 13 + 3*k - 6 - 8.\nAnswer: -29*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five halves of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1500)*2 + (2*sqrt(135) + sqrt(135) - sqrt(135)))\/(sqrt(5)*2*-3 + sqrt(405)))**2 + 2.\nAnswer: 260*sqrt(3)\/3 + 757\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwccwcc. What is prob of picking 1 c and 1 w?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 1 - 1)*(2*n + 2 - 2) + n + 1 - 1 + 118*n - 426*n - 383*n + 0*n - n - n)*(-2*n + 2*n - 2*n) to c*n + q*n**2 + u and give q.\nAnswer: 1380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-4)\/(-30))\/((-126)\/(-15))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 555 divided by 3?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22804+21.545378375\nAnswer: -22782.454621625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 92355*n**3 + 24*n**2 - n + 13040886 wrt n?\nAnswer: 277065*n**2 + 48*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/8 - 507\/(-104). Suppose r - t - 33 = 0, 3*r + 10*t - 123 = q*t. What is the lowest common multiple of 21 and r?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4595 or -4597?\nAnswer: -4597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 2, -4, -5 in descending order.\nAnswer: 2, -4, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -29. Let l = 76 + -74. Let f(y) = -1 + 3*y + l*y - 10*y + 2*y. Let s(h) = 4*h + 2. What is k*f(w) - 2*s(w)?\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1387, -1455, -1523, -1591, -1659?\nAnswer: -1727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(-1)\/(-3) + 814\/264. Let j(p) be the first derivative of -5 + p**2 + 0*p + 0*p**3 + b*p**4. What is the second derivative of j(n) wrt n?\nAnswer: 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p - 4. Let g(h) = -19*h - 18. Let n(a) = -2*g(a) + 9*j(a). Let o(t) = 28*t**2 + 121*t**2 + 99*t**2. Calculate n(o(c)).\nAnswer: 496*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1730, -14453, 5.\nAnswer: -14453, -1730, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*c + c - 38 = 0, -4*c = g + 5. Suppose 6 = u + 2*f - g, 2*f + 65 = 5*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 0, 2*t - 93 = -3*r + 7*t. What is the remainder when r is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 354 - 351. Let i be 27\/(-24) + 1 + (-325)\/(-40). Solve -z*x = -i*x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101.604 - -107. Round w to 1 dp.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 4*w**2 - 7*w + 8. Let p be t(5). Let j = -184\/65 + 42\/13. Which is the biggest value? (a) p (b) j (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 15 + 51. Let u(l) = 32*l**3 - l**2 + 3*l - 4. Suppose 14*v = -0 + 14. What is the least common multiple of y and u(v)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1961, 1959, 1947, 1919, 1869?\n\"Answer: -t**3 + t**2 + 2*t + 1959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11911063, 11911068, 11911075, 11911084?\n\"Answer: v**2 + 2*v + 11911060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -26\/51?\nAnswer: -26\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -25, -3*h + 2*o + 34 - 6 = 0. Suppose -p + 3*p = h. Solve -k - p*r = 11, r = -2 - 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*s**3 + 2*s**5 - s**4 - s**4 - 1849*s**2 - 1 + 15346*s**2 + 0 wrt s?\nAnswer: 120*s**2 - 48*s + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(100\/2)*55\/1804. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 5) in base 4?\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 356631 or 30670389\/86?\nAnswer: 356631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 505a4635?\nAnswer: -505a4630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 432.7 + -462. Let y = 8.7 - p. Let f = y - 33. Which is the third biggest value? (a) 9 (b) f (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 - ((-4 - (-3 + 11)) + -13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + (-25 - 17) + 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7017, 0, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -15, -24, -37, -54?\n\"Answer: -2*f**2 + f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43332 is divided by 610?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*u = -3*u + 360 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200772 is divided by 7168.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14841 by 4.\nAnswer: -14841\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/6)\/(1\/(-4)). Suppose -u*t + 3*t = 3. Let s = 12 + t. Calculate the highest common factor of 18 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 91904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 10441*x + 1182. Let l(q) = -7*q - 1. Give i(k) + 1182*l(k).\nAnswer: 2167*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 508 = 6*x - 33*x + 562. What is the closest to -17 in x, -0.1, -2, -0.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -27. Let w = -0.33 + 0.03. Which is the second biggest value? (a) -5 (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 7:09 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 488.4 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1704 + 1704. Which is bigger: 1\/4057 or h?\nAnswer: 1\/4057","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/10 + 11\/(165\/(-18)). Let j(d) be the second derivative of 1\/4*d**4 - d**2 + 1\/6*d**3 + 5*d + 1\/20*d**5 + 0. Calculate j(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*p - 18*p - 72*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 32. Let n = -8 + 0. Let s = k + n. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**3 - l**3 + 0*l**3 + (-5*l + 4*l + 3*l)*(2*l**2 - 1 + 1) + 2*l**2 - 3*l**3 - 2*l**2.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 2*o - 22, -4*m + 177329*o - 177334*o + 48 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 - -49.8. Let h = -1.8 + n. Which is smaller: -2\/5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66444\/(-4972) - 4\/(-11)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*r = 34, -3*h = 3*r + 2*r - 51. Do 17 and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at least 598\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 17189 divided by -6\nAnswer: -17189\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23830373 to the nearest integer?\nAnswer: 4882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + 3*(sqrt(2) + sqrt(32)).\nAnswer: 2 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-1 - (1 + -1)) - (1068 - 1067)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by (1\/(-3))\/(3\/(-153)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 607 - 2068. Let x = -1009 + k. Let f = -1155 - x. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - -1*(-465278)\/160. Let m = 9107\/16 + j. Let i = m + 2332. Calculate the common denominator of i and 50\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 504 and 351498?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7 (b) -6 (c) 4099 (d) -1\/9 (e) -2 (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (765 - -4)*(1 - 0 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15 + -3 - 2\/1. Is (184\/10)\/(4\/l) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 339, 776, 1391, 2184, 3155, 4304?\nAnswer: 5631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 9.2, 0.05, -0.15?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5670 and 435510.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w = 54 - 42 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txyobbsy. What is prob of sequence ox?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/36 (b) -2\/27 (c) 0.33 (d) -4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.38 + -0.62. Which is the closest to i? (a) 0 (b) 1\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -387 + -1126?\nAnswer: -1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 19644\/78 - 6\/(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.21 (c) -1.785558\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115\/164 - 2\/41. Let m = 0.69 - -0.11. Let l = m - -3.2. Which is the second biggest value? (a) 3 (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1654 is divided by 98?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 477 (b) -2\/15 (c) 2289\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145943 is divided by 72970?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8393 or 1027?\nAnswer: 1027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22.3 bigger than -6214\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 2:32 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2. Suppose -3*v = v. Suppose v = z - 5*t - 21, -z - 12 = -5*z + 2*t. Let r(n) = -4*n + z - 1. Calculate r(w(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 11*a + 74. Give y(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 - 2*s + 1. Let o(d) = 4*d**4 + 34*d**3 - 8*d**2 - 8*d - 1448. Let a(j) = 4*l(j) - o(j). Differentiate a(m) wrt m.\nAnswer: -16*m**3 - 102*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 54*u = -13*u + 444 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9538, 19547, 30212, 41527, 53486, 66083, 79312, 93167?\nAnswer: 107642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 6*k - 2. Let z be b(-5). Suppose 4*h = z*h - 7. Which is bigger: -6 or h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**4 - 32280*p**3 - 86865474*p**2 - 173634120*p - 86800923 = 0.\nAnswer: -5379, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17737437 (base 8) to base 11.\nAnswer: 23a3845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66085, -132138, -198191, -264244, -330297, -396350?\nAnswer: -462403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/(208\/(-1196)) + 18\/(-4).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 939523236 rounded to the nearest ten thousand?\nAnswer: 939520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6*(180\/(-4))\/3. Suppose 8 - m = -n. What is the greatest common divisor of 58 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -799be + -1?\nAnswer: -799bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 0. Let w(c) be the first derivative of 3*c**2\/2 + 2*c + 10. Determine w(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-17)\/(b*b**(-3\/17)))\/((b*b\/(b\/(b*b**2*b)))\/((b**16*b*b)\/b*b)) assuming b is positive.\nAnswer: b**(-82\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -34988.43 - -1?\nAnswer: -34987.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + f**2 - f + 1. Let r(z) = 7*z**3 - 14*z**2 + 14*z - 14. What is 14*q(y) + r(y)?\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.368817*-4.\nAnswer: -1.475268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36387 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100101001 - 1101100110?\nAnswer: -1101010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105 + 106. Let w = 193 - t. Calculate the greatest common factor of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**4 + 122 - 47*b**4 + 3*b**4 wrt b?\nAnswer: -164*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 55. What is the remainder when h is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 46*c + 43*c + 26 = 0, 709 = -3*o + 114*c - 267 + 67 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.24 + 61.24. Let d = a + -60.9956. Round d to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c = -1144 + 1059. Suppose 2*i - c*o = 19, 8*o = 12*o + 12. Solve 0 - 555\/4*q**4 - 6*q + 15*q**i + 225\/4*q**5 + 93\/2*q**3 = 0 for q.\nAnswer: -1\/3, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/((3\/15)\/(12\/(-15))). Suppose -c = -7*y + 3*y. Suppose 4*f + 22 = y. Sort 0.03, -0.1, f in increasing order.\nAnswer: f, -0.1, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-15)*-2*(-875)\/(-2975).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**3\/3 + 87. Let s(m) = -23*m**2. What is r(s(d))?\nAnswer: -529*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18085738 is divided by 6028575.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 685563709 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 290086760 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from {z: 3, v: 2, f: 12, l: 3}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1298\/9 - -144. What is the closest to -1\/7 in -3, v, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*-4*(-1 + sqrt(700) + 4 + (sqrt(700) - (1 + sqrt(700)*2)) + (-1*sqrt(700) + 2 - ((-1 + sqrt(700))*-1 - sqrt(700)))))**2.\nAnswer: 1360*sqrt(7) + 11489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12718786, -25437603, -38156420, -50875237, -63594054, -76312871?\nAnswer: -89031688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7762 - 7767. Sort -29\/3, k, 3\/4 in descending order.\nAnswer: 3\/4, k, -29\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w. Let i(j) = -211974*j**2 - 4116*j + 1029. Let p(s) = 1029*s**2 + 20*s - 5. Let u(a) = -5*i(a) - 1029*p(a). Give u(b(o)).\nAnswer: 4116*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 310233102 (base 4) in base 14?\nAnswer: 58a1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (1 - (2 + -9)). Suppose 0 = -i*z + 690 + 158. What are the prime factors of (3 + -1 - -2) + z\/2?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 413\/(-7) - 146207\/(-2344). Factor -117\/8*y**2 + 37\/8*y**3 - 1\/2*y**4 + 135\/8*y - b.\nAnswer: -(y - 3)**3*(4*y - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, m: 2}. Give prob of picking 3 z.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-12))\/(2\/(-4)). Let q be 1198\/66 + (-4)\/12. Let v = 18 - q. What is the nearest to d in v, 2, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/121 and 71\/110.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from {w: 1, j: 2, u: 2, s: 1, t: 3, e: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -480, -214133, 4.\nAnswer: -214133, -480, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*m + 128*m - 160*m.\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -707*j - 556435. Calculate n(-787).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -269, -3, 92, 1, -4\/31 in ascending order.\nAnswer: -269, -3, -2, -4\/31, 1, 5, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111111111010100001 (base 2) to base 8.\nAnswer: 777241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*-4 + 4 + 0)*2.\nAnswer: -48*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**3 - 6*m**2 + 7*m - 9. Let q(r) = -r**3 + 1. Let p(n) = -5*q(n) - u(n). Let h be p(-7). Solve -2*s - 8 = -h*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18026 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2*i - 3)*(7 - 21 - 8)*(-2 + 0 + 0) in the form q + p*i and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53\/5 of a millennium?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4, 1110.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42835\/130 - -3*(-1)\/(-2).\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/21 and 127\/78162.\nAnswer: 78162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 15688\/7, -1358, 5 in ascending order.\nAnswer: -1358, 5, 15688\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 + 0.20649037.\nAnswer: 0.27649037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1155613599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96417 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-3)*(11\/(-352))\/((-33)\/176).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -6 + 6 + (6 - 3) + 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4 = 4*c - 2, 0 = 2*b + 3*c - 16. Suppose -7*d + b*d = -60. Let s = 173 + -141. Calculate the least common multiple of d and s.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411068 + 411068 - 4*h**3 - 9*h**3.\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 + 53. Let d be (u\/(-4))\/((-6)\/(-8)). Suppose 17*k - d*k - 1540 = 0. What is the highest common divisor of 28 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4447.6 less than 0?\nAnswer: 4447.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 615 and 269715.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1780 - 1777. Suppose 2\/5*i**w + 4\/5 + 0*i**2 - 6\/5*i = 0. Calculate i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 82 = -5*k, -2*l + k + 21 = -22. Let f = l - -16. Is 20 a factor of f + (-3)\/(6 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*j - 28*j + 441 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.076 and -0.015.\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(1 + 10*(-3 - -1)). Let l = m + -73. What is the remainder when l is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 3, p: 3, a: 2, j: 1, i: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (14 + -12 - -8) - (15 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3)*f**(-1\/6))\/((f\/(f**(3\/5)*f)*f)\/(f*f**(2\/3))))**(-26) assuming f is positive.\nAnswer: f**(-689\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/2 + 2*(-126)\/(-3). Let t(d) = d - y*d + d + 15*d. Let u(q) = -q. What is t(u(n))?\nAnswer: 64*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-54)*1\/(152\/(-114)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196 and 60.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*(4\/2 + 16 + -12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*d = 174, -2*d - 20 = -7*d. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9620 + 9620 - 21*h)*(1 + 1 - 1) + 1 - 1 + 2*h + (1 + 0 - 3)*(0*h + 5*h - 3*h) + 0*h + 0*h - 2*h - 4 + 2*h + 4 - 6 + 6 + 2*h.\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -17aa628 (base 11) to base 2\nAnswer: -1011101010111011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11251?\nAnswer: 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 10*b**2 + b + 12. Let w be 150 - (-2)\/(-2)*2. What is the remainder when (-4)\/14 - w\/(-28) is divided by s(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49046 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 59 + 44 = 5*o, -33 = -4*o - 5*l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1455\/2 + 727. Let a(k) = 3*k**3 + 3*k**2 + k. Let r be a(-4). Let n = -1034\/7 - r. Put u, n, -1\/6 in increasing order.\nAnswer: u, -1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3549, 3542, 3535, 3528, 3521?\n\"Answer: -7*r + 3556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2 + 9*p**2 + 3 - 5 + 1. Let k be h(1). Let a(x) = -x + 17. Let w be a(k). Solve -w*d + 3 + 2 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42.91 - 42. Let w = -0.953 + k. Round w to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 3696.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-6\/7)*f*(f**(-23)*f)\/f*f*f**(-39)\/(f*f**(-32\/7)))**(11\/3) assuming f is positive.\nAnswer: f**(-4202\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 4*p + 7. Let a be x(-6). Put -1\/2, 5, a in descending order.\nAnswer: 5, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -510507900 rounded to the nearest 100000?\nAnswer: -510500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 6*t = -5*s - 8, -14 = -4*s + 3*t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(14\/9)\/b*b)\/b**(19\/4) assuming b is positive.\nAnswer: b**(-115\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4294 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1, 5, -41?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -2\/5 (b) -3\/5 (c) -17.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 19.529*1\nAnswer: 19.529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -907*a**6\/5 - 3527*a**2\/2 - 4478*a. Differentiate r(o) wrt o.\nAnswer: -21768*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 979 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1799*l**2 - 364*l**2 - 754*l**2 - 1981*l**2 to the form c*l**2 + a*l + d and give c.\nAnswer: -4898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 903525648*t**4 - 457080566*t**2 wrt t.\nAnswer: 21684615552*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -31234 and -31234 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 3209?\nAnswer: -32090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 15 - 13 = 0. Let b(m) = 2*m**3 - 3*m**2. Let p be b(2). Let z = p + -2. Solve q*c - 8 = -5*l - 2, -3*l - z*c = -2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 4*d + d - 2*d + 8 + 3*d.\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 9. Suppose -2*t + 1 = b. Is 1 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1858.92 + -1853. Let v = -0.16 + 7.16. Let u = v - f. Round u to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43795.438 to the nearest ten.\nAnswer: -43800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 - 10*a + 19. Let p(f) = 2*f**2 + 4*f - 9. Give 5*p(o) + 2*v(o).\nAnswer: 4*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 23 = -13. Suppose -6*k = -k + w. Let f = k + 4. What is the remainder when f is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/78? (a) 3 (b) -0.0543 (c) -0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54449 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 88*j**2 - 1. Let b(p) = -2*p - 6. Let o(r) = -5*r + 4. Let y(x) = -2*b(x) - 3*o(x). Give y(t(s)).\nAnswer: 1672*s**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3429*f**3 + 6852*f**3 - 3427*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 47*j. Let d(t) = t. Let o(n) = -2*d(n) + w(n). Let v(h) = 2*h. Determine o(v(x)).\nAnswer: 4*x**2 + 90*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 233113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 18 = -2*w, -6 = j + 3*w - 17 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24\/20*((-1)\/3)\/1\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 a when four letters picked without replacement from {d: 2, h: 10, a: 3}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 96, 731\/3, 3\/4, -1\/46 in descending order.\nAnswer: 731\/3, 96, 3\/4, -1\/46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, m: 6, i: 5, s: 5}. Give prob of sequence mm.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 4*h + 3. Suppose 3 = y - 0. Let o(c) = c**2 - 2*c - 1. Let l be o(y). Determine a(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -11*d + 1. Let o be 4\/(-18) + (-14)\/18. Let f be 10\/(-8) + o\/(-4). Is 5 a factor of t(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04294? (a) -2\/9 (b) 0.1 (c) -3 (d) -0.4 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 98721.7 millimeters?\nAnswer: 0.0987217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 113.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - -31 - (1 + 0) - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**6\/120 + p**5\/30 + p**4\/12 - p**3\/6 - 4*p**2. Suppose 8*u + 24 = 8. What is q(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -24*w + 21*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3239471487 to the nearest integer?\nAnswer: 56916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/(-15))\/(24*(-287)\/(-5904))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*s - 3434 = 61*s. Let j = 1 + 1. Suppose -j*m + 2*i + 374 = 0, -152 - 222 = -2*m + i. What is the highest common divisor of m and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67983540 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4)*(-177*y**3 + 73*y**3 - 73*y**3) - 2*y**3 - 2*y**2 + 2*y**2.\nAnswer: -179*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 + -26730999?\nAnswer: -26731274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 235 and -277581?\nAnswer: -65231535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10573381 divided by -116191?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(6*sqrt(175)).\nAnswer: sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 47 = -5*g. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13201850, -26403698, -39605546, -52807394, -66009242?\nAnswer: -79211090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 8 = -2*h - 10, 3*o - 12 = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7183, -7, -0.18, -0.1 in ascending order.\nAnswer: -7, -0.18, -0.1, 7183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/(-15)*10\/(-35). Let t = -504 + 504.4. Which is the second biggest value? (a) 10 (b) 1 (c) t (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.1 - 21. Let o = -0.90000035 - z. Round o to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 811482 divided by -405741.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/142407 and 23\/18655317.\nAnswer: 18655317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 5*t + 113 = 0, -131*m = -135*m + 2*t + 38 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 16335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10700447 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65\/3 - 23. Let j be -3 - -3 - ((-175)\/18)\/(-7). Let v = j - 1\/9. Sort c, v, 0, 3.\nAnswer: v, c, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8334534 less than or equal to -8334534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/450 and (2\/60)\/((-10)\/1190).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 25*b + 16. Let f(w) = -144*w - 96. Let h(z) = -4*f(z) - 23*g(z). Determine h(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2321738, -4643477, -6965216, -9286955?\n\"Answer: -2321739*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 3174*b**2 - 58293*b + 203364.\nAnswer: 3*(b - 1076)*(b - 3)*(b + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(7\/(-120))*(-1034)\/3102.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -126208 to the nearest one hundred.\nAnswer: -126200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/2*103\/((-41200)\/(-120)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 75*z**3 + 47*z**2 - 156*z + 6. What is the tens digit of p(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/6336*-11)\/((-6)\/(-8))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 5:28 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -853d?\nAnswer: 8542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/69 (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1575\/195 + 3 + -11?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-276 - -279 - (3 - 1)) + -2 + -36.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v + 5*v - 3*v)*(9*v**2 - 1697 + 1697) as b*v**2 + y*v**3 + x + m*v and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155 - -157. Differentiate -6083*b**z + 4*b**4 + 22 + 6083*b**2 with respect to b.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (11 - -1) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 3*p + 1. Let f be s(-6). Let l be ((-6)\/(-4))\/((-6)\/(-40)). Suppose l = -t + 3*t. What is the greatest common divisor of t and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 116*v - 335. Is 23 a factor of i(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*i - 112, 4 = i - 2*i. What is the highest common divisor of u and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2058335 is divided by 168?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 31 + 0*d - 36 + 4*d + d**2. Let x be 3*1*8\/6. Suppose -2*z - x*b = -0*b, -4*b + 42 = -5*z. Calculate j(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218681 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 89050484 a multiple of 657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12287602 is divided by 392.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**7\/420 + x**6\/360 + x**5\/120 + 32*x**3\/3 - 157*x. Let t(q) be the second derivative of f(q). Calculate t(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (9 - (12 - 5) - (13 - 27))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11*(-20)\/(-330))\/((-1)\/30*2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 16*o + 175. Determine m(-13).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 12:49 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86490, -172991, -259492?\nAnswer: -345993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3 (c) -1 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -37894 * -42\nAnswer: 1591548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (125\/(-15))\/(2105\/7578)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 a, and 1 w when four letters picked without replacement from axvvwxapvwpxpwowx?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**4 - 8*f**3 - 52*f**2 + 320*f + 768 = 0.\nAnswer: -6, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 299677 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 334*k - k**2 + 302*k + 59*k.\nAnswer: 2*k**2 + 27*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10112 + 1002111?\nAnswer: 331333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 125 = -z + 6*z, 2*z = 3*t + 45. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 29 = -2. Let a = d - -3. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27848891635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -18*b + 18039. Let c = -3474 + b. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (11\/(-5))\/((-192)\/(-960)) + 2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 5:11 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -302441 + 1442?\nAnswer: -300444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*w + 2)*(w**2 - w**2 + 8*w**3) - 2*w**2 + w**4 + 2*w**2 to the form v*w**2 + u*w**3 + y*w**4 + i*w + s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3379671 and 774?\nAnswer: 6759342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 111 + 12 = -u, -3*u = -z - 91. Let k = 148 + z. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 32*d**2 + 12. Let l(k) = -13*k**2 - 5. Let z(y) = 12*l(y) + 5*o(y). Let r(n) = 5*n - 15*n + 4*n. Calculate r(z(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42 and -15\/13783?\nAnswer: 13783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccxxxxucuzb. What is prob of sequence zcx?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**5 + 84*t**4 - 558*t**3 - 84*t**2 + 561*t = 0. What is t?\nAnswer: -1, 0, 1, 11, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, a: 5, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -73117, -73116, -73117, -73120, -73125, -73132, -73141?\n\"Answer: -x**2 + 4*x - 73120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -35*u**4\/24 - 209*u**3\/6 - 9*u**2. Let n be c(-6). Do -5\/52 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by (40 - 44)*-1*6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3 + 1261254*k**2 - 3783783*k + 2522526 = 0. Calculate k.\nAnswer: -420421, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 5*x - 3*x)*(0*x**2 + x**2 + x**2) - 2*x**2 - x**3 + 2*x**2 + 2*x**3 - 679 + 681 + 145*x**2 + 6*x - 10*x.\nAnswer: 3*x**3 + 145*x**2 - 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 568 + 937. Calculate the remainder when f is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n = 0. Suppose h = 5*f + 51, 2*h + 3*f - 68 = -5. Let x be ((-2)\/12*2)\/((-4)\/h). Sort 2, x, n.\nAnswer: n, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 4*z**2 + 9. Let i(g) = -g**2 + 12*g + 31. Let k be i(14). Calculate the lowest common multiple of 4 and p(k).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m - 405553656 + 405553656.\nAnswer: 25*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -947*g + 1713. What is k(-1)?\nAnswer: 2660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 11 = c. Suppose -l + 293 = 3*v - 8, 0 = l - 5*v - 309. What is the greatest common divisor of l and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*z - 25 = 24, 0 = 2*v + z - 27. Suppose -5*c = -16 - 29. Calculate the remainder when v is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 + 16*r - 81\/5.\nAnswer: (r - 1)*(r + 81)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 17*b**2 - 24*b + 16. Calculate f(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119755, 121654, 123553, 125452?\nAnswer: 127351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*g + g. Let i be g\/(-15)*5\/(-2). Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3 = -0, -3*o + 27 = -5*m. What is the first derivative of -2 - 2*h**o - 1 - h**4 wrt h?\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1174 or -12928\/11?\nAnswer: -12928\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/(-24))\/((-5)\/(-2)))\/((-2)\/7)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.644 - 0.244. What is the third smallest value in -0.5, 9, 0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20684, 3, 0.1, 5 in decreasing order.\nAnswer: 20684, 5, 3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x = -15*x - 3236800000. Round x to the nearest one million.\nAnswer: 95000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 7*k**2 + 3*k - 6. Suppose -6 = -0*x - x. Let a be j(x). Calculate the remainder when -1 - (a - (-2 - -4)) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 5*a**2 + a - 5. Calculate h(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-9)*q*((q*q**(-1\/4))\/q)\/q*q*(q*q\/((q\/((q*(q\/q**(1\/6))\/q*q)\/q)*q)\/q)*q)**(-21) assuming q is positive.\nAnswer: q**(-195\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*5\/10*-176 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (0 - -1) + 1. Suppose h + 25 = c. Suppose 0*t + l - 196 = -2*t, 2*t - 3*l - 212 = 0. What is the highest common factor of c and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105379?\nAnswer: 105379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -15 - 2\/((-10)\/25). Let k(v) = -v**3 - 11*v**2 - 15*v + 17. Let q be k(f). Suppose 2*h + q = 301. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**4\/3 + 43*i**3\/30 + 7*i**2\/5 - 1665*i. Factor t(h).\nAnswer: (4*h + 7)*(5*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -284, 2, 1, -202.\nAnswer: -284, -202, -5, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -430*h + 2523. Determine t(6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 2*c + 4. Let d be o(-3). Let q = 378 - 652. Let x = 278 + q. Put -0.2, d, -2\/13, x in increasing order.\nAnswer: -0.2, -2\/13, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*p + 447, -s + 2*p = 3*s - 600. Suppose -v + s = 168. Are -11 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299165 is divided by 33226.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 468012 by 156004.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 4\/5 (b) 1\/10 (c) -2\/13 (d) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 3*w - 34. Calculate the least common multiple of 202 and l(6).\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 9*a**2 - 13*a + 1. What is the lowest common multiple of 10 and d(7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/105*(-50)\/(-25))\/((-12)\/(-28))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 17*o - 30. Calculate the common denominator of (4\/20*o)\/((-12)\/65) and -133\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107028?\nAnswer: 2, 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 2052\nAnswer: -2052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 s, and 1 j when four letters picked without replacement from khjsshhvkhhkes.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 537135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 = -0*c. Let q(p) = p - 2. Let f be q(c). Suppose -4*v + 1 = -t, -t = 2*v - f - 5. Solve -2*y = -v + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5*c - 11, -u + 2*c = 6*c - 25. Let n be (-10)\/(4 + u\/(-2)). Solve -2*v - n = -4*y, 4*v - 5*y + 8*y + 7 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8146, 16042, 23828, 31504, 39070, 46526?\n\"Answer: -55*z**2 + 8061*z + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*j - 196 = 0, 4*p + p = -2*j + 246. What is the highest common divisor of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 10*n + 2. Let y be g(0). Let i(x) = 8*x**2 - 6. Let k be i(y). Calculate the greatest common factor of k and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1627 plus 310?\nAnswer: -1317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-91)*2)\/((-19)\/3192*-96)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*p - y - 43, -3*p + 8338*y - 8334*y = -172 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 439770731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 5*t - 3. Let r = -8 + 5. Calculate the remainder when p(r) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**3\/3 - 190. Let k(c) = c**2 + c + 1. Let u(d) = -7*d - 7. Let r(p) = 14*k(p) + 2*u(p). What is q(r(b))?\nAnswer: -196*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 4. Let v be l(-4). Let m(k) = -k + 7. Let u be m(-5). Suppose 3*c + u = v. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -3, -13, 5, -5 in decreasing order.\nAnswer: 5, -3, -5, -13, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-23 - 4) + -16 - (-9 + 2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5414, -5407, -5400, -5393, -5386?\n\"Answer: 7*i - 5421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624 = -f - 25*f. What is the common denominator of 41\/139 and 3\/f + 394\/(-48)?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjfgfsquqggfsgjgug. What is prob of sequence jj?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j*j**(-2\/9))\/j*j)\/j*j**(-7))\/((j\/((j\/(j*j*j\/j**23))\/j))\/(((j*j**(-18))\/j)\/j)) assuming j is positive.\nAnswer: j**(-56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 835 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = 46 - 76. Suppose 0 = -3*w + a*i - 67 + 191, -i = 2. What is the remainder when 150 is divided by w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 2*x + 22. Let g = -4 + x. Let z(h) = 21*h + 10. Is z(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120184157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2443846, -4887714, -7331582?\n\"Answer: -2443868*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -1157238.\nAnswer: -347171.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 27*c - 105. Let k be i(22). Solve -2*y = g + 3*y + 18, -15 = k*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}