diff --git "a/data/dm_maths/full_data_2/10557_11255.jsonl" "b/data/dm_maths/full_data_2/10557_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10557_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the biggest value in -10\/3, -2\/11, -5605?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -27. Let y be 3 + 4 + (3 - w). Solve -3*n = -2*z + 4, -n + y*z = -z - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -19. Let o = n - 5\/2. Let y = 2.4 + 0.6. Which is the smallest value? (a) o (b) y (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 29*x**2 + 181*x - 5. Determine w(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 21*x - 90. Let u be n(4). Let m = u - -722. List the prime factors of m.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16833744 divided by -116901?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1344723*u - 9413057. Calculate a(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/70 or 0?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**5\/3 + 7*t**4\/3 + 2*t**3\/3 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 35*c**2. Let r(j) = 3*j - 13. What is r(b(k))?\nAnswer: 105*k**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7 - 4*i - 2*i + 9*i - 2. Give n(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -54908, -54909, -54910, -54911, -54912, -54913?\n\"Answer: -b - 54907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 539981?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*m + 5*t - 17, -5*m + 5*t = 5. Suppose 2*q = -m + 5. What is the second derivative of 0*f**2 + 2*f - 3*f - f**q wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856969547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4823 + 2593 = 0. Suppose -3*n = z - 1108 - 123, -n + f = 2*z. Let v = 12331\/10 - z. Find the common denominator of v and 71\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 890 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89253120 divided by 101424.\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + k - 3*k + 10 = 0, 5*k = 2*g + 10. Put g, 3, -3\/8 in descending order.\nAnswer: 3, -3\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -0.04 (c) 4 (d) -2 (e) 10 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36185076*i*t**4 + i*t**2 + 2*i*t - 4*i + 30*t**2 + 107 wrt t.\nAnswer: -868441824*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-6))\/((-9)\/60). Let t be (-20)\/(-1*i\/15). Let h = t + -18. What is the remainder when 83 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((4*sqrt(24) + sqrt(24))*5)\/sqrt(12).\nAnswer: -5 + 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 6*j**3 - 386*j**2 + 386*j**2.\nAnswer: 6*j**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 388?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/66 and 326340\/20196 - (-2 - -18).\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 6 + 9)*(-h + 4*h - 2*h)*(-4*h**2 + 1 - 1).\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 2)\/(3\/14). Let a = -136 + 83. Let m = 58 + a. Solve -22 = -2*s - 4*h, -36 = 3*s - m*h - g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/5 + 2*j - 6\/5.\nAnswer: -2*(j - 1)*(2*j - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 12 = 7*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*j + 9315, -7452 = -4*g - 22*j + 27*j. Does 27 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477 + 485 = 8*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00312173309 rounded to 6 dps?\nAnswer: -0.003122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*h - 6*h + h)*(4*h - 4*h - 13*h**3) + 5*h**4 - 4*h**4 + 2*h**4)*((-1 - 2 + 2)*(-2*h + 2 - 2) - h - 3*h + h + 0*h - h - h).\nAnswer: -87*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 12:38 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108922041 to the nearest integer?\nAnswer: 10437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41900460 to the power of 1\/3, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -25.3. Let r = l + -0.7. Which is the closest to r? (a) -5 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9*m - 64. Let b be n(8). Suppose -5*x = -159 - 1. What is the greatest common factor of x and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 2:42 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 7. Let t(s) = -s - 3. Let o(a) = -3. Suppose m - 4*u = -13, 6*u - 8*u + 6 = 0. Let n(r) = m*t(r) + o(r). Calculate z(n(x)).\nAnswer: 2*x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1977 + 391 = 0. Suppose 0*u + c = u - 19, -22 = -u + 2*c. Calculate the highest common divisor of u and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.6*-1.9\nAnswer: 8.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 130\/((-1 + 3)*1). Suppose 6*b - b - r = 0. Solve 4*y = -3*m - 9, 6*y - 3*y + b = 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8739 and 8739?\nAnswer: 8739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12*-4)\/((-54)\/567)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 855, 845, 835?\nAnswer: 825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32*0.9.\nAnswer: -28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 11*i**2 + 1235*i + 338. Give x(-112).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 10:43 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 49, 115, 235, 427, 709, 1099?\nAnswer: 1615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.3. Let z = -0.2 + u. Let m = 21\/32 + -13\/32. Which is the smallest value? (a) z (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*v - 1043 = -3365 - 2577 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1. Suppose 5*r + c - 35 = 0. What is the least common multiple of r and 2 + 8 + 2 + -1?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486845 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from {h: 3, k: 1, o: 2, l: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -1\/18 (c) -412\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 - a**2 + 2*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, z: 2, y: 7}. Give prob of picking 4 p.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 5*u - 3*t, 3*u = -2*u - t + 214. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 1)\/(134 + -135) + (-57)\/(-7).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven halves of a millisecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j - 12. Let k be u(-5). Suppose k*t = t - 12. Let x(z) = z**2 + 6*z + 8. Determine x(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*t = -168*t - 128 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56609098.\nAnswer: 2, 7, 13, 61, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b**3 - 13*b**2 + 9. Let c(a) = -2*a**3 - 3*a**2 + 2. Let j = -19 + 28. Let g(k) = j*c(k) - 2*d(k). Find the third derivative of g(o) wrt o.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384543.\nAnswer: 3, 42727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 1 - (1 - 377) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182834251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**4 + 5*t**4 - 3*t**4)*(4818 - 2169*t - 4818).\nAnswer: 2169*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 7 = -m, 2*x + 4*m + 23 - 15 = 0. Let o(g) = 3*g. Let y be o(2). Suppose 2 = -x*s + y. Solve -12 = -s*n + c, -n + 12 = -2*c - 0*c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4690569061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 939 is divided by 154.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1828\/15 + 120. What is the common denominator of j and (-6 - -3) + 10\/(5*(-24)\/(-230))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1090 is divided by 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/3)*g*g*g**(2\/15))**44\/(((g**0*g)\/g*g**(-8))\/(g\/g**(1\/2)*g*g\/(g**(-1)\/g))) assuming g is positive.\nAnswer: g**(1797\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3272468443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 508, 0, 610, 6, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 5*l**2 + 8*l + 9. Let t be z(-6). Let f be 9\/((4 + t)\/1). Let b be 0*(-1 - f\/(-6)). Is 2\/25 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 - -9 - (1 + 0). Solve 2*t - 4*t + 2 = r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1463076, 2926148, 4389220, 5852292, 7315364, 8778436?\nAnswer: 10241508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -94729.\nAnswer: -1\/94729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -428.233889 to two dps.\nAnswer: -428.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19617263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {m: 1, d: 2, y: 2, r: 1, x: 1, w: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9381, 18774, 28201, 37680, 47229, 56866?\nAnswer: 66609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -11*h**2. Let s(a) be the first derivative of -2*a**5\/15 - 14*a**3\/3 + a**2\/2 - 144. Let p(b) be the third derivative of s(b). Calculate p(z(d)).\nAnswer: 176*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/4*(-1)\/(-2). Suppose 2*q + 0*r - s*r - 4 = 0, -22 = -5*q + r. Solve -q*h = -3*i - 5 + 12, 2*h = -i - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.036 + -0.09. Let f = s + -71.946. Let l = 67 + f. What is the nearest to -3 in -2\/9, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -14, -20, -26, -32, -38?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1670 (b) -0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -0.016, -1.8, -0.4, 3 in ascending order.\nAnswer: -4, -1.8, -0.4, -0.016, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - -2 - 2 - 92. Let x = 69 - m. Suppose 0 = -50*p + 56*p - 384. What is the greatest common divisor of p and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.49842ml to litres.\nAnswer: 0.00049842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -367 - -370. Suppose -13*v + 18*v + 692 = y*q, 3*q - 683 = -4*v. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154023207, 154023206, 154023205, 154023204, 154023203, 154023202?\nAnswer: 154023201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 4*f + 184. Let t be 6\/15 - f\/(-15). Calculate the remainder when (-2 - t) + -3 + 11 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -1\/188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 5*z - 3*d, -3*z + 57 + 21 = 5*d. Let g(c) = -z - 105*c + 7*c + 92*c. Determine g(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119 by 2.\nAnswer: -119\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 661 (b) -2040 (c) -0.4 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137\/2 + -70. What is the third smallest value in 1.3, 0, -1, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.25698.\nAnswer: 0.12849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/4)*k)\/(k\/k**(4\/3)*k)*((k*(k**(2\/7)\/k)\/k)\/k)\/k**2 assuming k is positive.\nAnswer: k**(-347\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 8:16 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t\/t**(-2\/79))\/t*t*t*(t\/(t*t\/(t\/(t*t**31*t))*t))\/t)\/(t**(-1\/23))**(-39) assuming t is positive.\nAnswer: t**(-59362\/1817)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -46, -25, 14, 77?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219169850.\nAnswer: 2, 5, 4383397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -169 - 164. Does 9 divide w + (-2)\/4*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 11:50 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s - 8. Let z be k(-6). Let h = z - 16. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18540859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 649 or 647?\nAnswer: 649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, 7, -0.4, -799.46, -1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -246 + 251. Suppose i*o - o = 9*o. Sort 1, 2, 3, o in descending order.\nAnswer: 3, 2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/9)\/(-1))\/(16*40\/(-1440)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 83*s - 87, -10*s + 12*s - 9 = -5*n + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, 16 in descending order.\nAnswer: 16, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (116974\/(-715))\/((-1)\/15)?\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q**3 + 25*q**3 + 2 - 2.\nAnswer: 38*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(-56*(-24)\/192). Suppose -l - 2*l = -90. Which is smaller: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 4*p + 4*p)*(p - 5*p - 2*p)*(544*p + 158206 - 158206).\nAnswer: -6528*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-24)*(-9)\/(-6))\/((-34)\/(-408))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -619789, -1239583, -1859377, -2479171, -3098965?\n\"Answer: -619794*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(30\/4) - 2) + 32 + -30. Determine n so that 0 - d*n**3 + 4\/3*n**2 - 2\/3*n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 70983 = 2*v - 0*v, -283869 = -4*q - v. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24100 divided by 5?\nAnswer: -4820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -16*l**3 + 267*l**2 + 112*l - 465. Give p(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6313436081\/3072 - 2055155. Find the common denominator of 37\/288 and v.\nAnswer: 9216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*o - 10. Let i(n) = -n**2 - 6*n - 5. What is i(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/13))\/r**(-2\/13)*(r*r*r**(-2\/23))\/r**1)\/(r**(-1\/2)*r*r*r*r\/(r*r**(-1\/8))*r*r*r*((r\/r**(-2))\/r)**(-15\/7)) assuming r is positive.\nAnswer: r**(739\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -139 - -138.92. Let q = -1.7 - 0.2. Let k = q - -2.1. Is b at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2828377 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.2 (b) 0.2 (c) 5\/7 (d) -3\/8 (e) 7\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 652.6761 months?\nAnswer: 54.389675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40969 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 95*v**7\/42 + v**3\/6 + 13*v**2 - 41*v. Find the second derivative of w(m) wrt m.\nAnswer: 1900*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4 - 454*y**3 - 22020*y**2 - 153856*y - 292672 = 0. What is y?\nAnswer: -34, -4, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 11*n - 4. Let o be k(-7). Suppose q = -2*q + o. What is the first derivative of 2 - q*z + 6*z + 6*z wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 4, -1\/4, 2\/3, 2\/57?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 1098?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - 21) + (28 - 8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21020310123 (base 4) in base 15?\nAnswer: -324b49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 109226686?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -2)\/((-1)\/(-11)). Suppose -3*s + 5*r = 4*r + 131, -s = 4*r + g. Round s to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 6, 12 = 3*d - p - 0*p. Suppose 2*b = -d*s + 28, -3*b + 24 = 3*s - 0*b. Solve 2*o - s = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2400?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*o = 51*o + 6. Suppose -22*n = -23*n + o. What is the remainder when 21 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3664 + 5613. What are the prime factors of v?\nAnswer: 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -4. Let l = t - 7.956. What is l rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 s, and 1 p when four letters picked without replacement from {s: 2, p: 2, z: 4, f: 5, c: 4}?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 595.388 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -182560 or -182749?\nAnswer: -182560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(114)\/sqrt(294))**2.\nAnswer: -4*sqrt(19)\/7 + 215\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -118646, -237317, -355988, -474659, -593330, -712001?\n\"Answer: -118671*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(726) + sqrt(726) + sqrt(726) + -2*sqrt(726)*-2 + sqrt(726))\/(2*(sqrt(2) - -1*sqrt(162))*-5).\nAnswer: 11*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 18 = 16. Let v = -137 + 169. Calculate the remainder when v is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -28.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2. Let i = 4 + -3.79. Let t = i + 0.79. Is t < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7764 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3140 and 1148455.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1871.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Let c(k) = k - 4. Let d be c(-4). Let b be d\/(-126) + s\/(-7). Put 0.4, b, 2\/17 in decreasing order.\nAnswer: 0.4, 2\/17, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 6:27 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -321, -650, -981, -1314, -1649?\n\"Answer: -r**2 - 326*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 10*n**2 + 10*n + 15. Let r = -1451 + 1442. What is y(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**5\/60 - 7*p**4\/24 - 2*p**2. Let s(i) = -2*i**2 - 15*i. Let x(w) = -7*c(w) + 3*s(w). What are the prime factors of x(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - 4*sqrt(77)) + sqrt(77))*2)\/sqrt(7).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2311 - -103020013?\nAnswer: 103022330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/9 + 86*m**2\/9 - 164*m\/3 - 1104.\nAnswer: 2*(m - 12)*(m + 9)*(m + 46)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 3:54 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73122.2 litres to millilitres.\nAnswer: 73122200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grr when three letters picked without replacement from {g: 2, r: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 3. Suppose 5*w + k = b - 0, 0 = -w + 2*k - 2. Solve w = d + 3*d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p + 56580 = 4*a - 20*p, 0 = 4*a - 4*p - 56620. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 93751, 187501, 281247, 374989, 468727?\n\"Answer: -2*b**2 + 93756*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 900 by -94270.\nAnswer: -90\/9427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + l. Let t be j(-1). Let a(h) = h - 47. Let s(o) = -2*o + 94. Let i(p) = 5*a(p) + 3*s(p). Is i(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - j + 5. Let f be v(0). Suppose 0 = 3*g - 2*g - f. Suppose 0*h + 4 = 3*h - 4*n, 2*h - g*n = -2. Solve 0 = -5*o + o + h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 13. Let d be (-48)\/(-9) + 3\/g. Solve 11 + 18 = -s + d*m, -6 = 4*s + 2*m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176999*b**2 + 3*b**3 + 176999*b**2.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*d + 151. Suppose 5*h - b = -0*h - 5, -3*h = 3*b + d. Let v be 1 - (-1)\/(6\/(-8)). What is the third biggest value in 1, v, 5, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-38)\/3)\/(2\/(-6)). Suppose 474*w - 42 = -42. Put w, 3, d in increasing order.\nAnswer: w, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72492 by -12082.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.55 + 18.25. Sort -1, 0.58, v in descending order.\nAnswer: v, 0.58, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 55*c - 54*c + 2*r, -5*c = -3*r - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132043 (base 6) in base 11?\nAnswer: 9121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*h - h + 23*h + 2 as t + q*h and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*c - 5312 = 42*c. What are the prime factors of c?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -54*m - 3 + 1 - 7 + 2. What is the units digit of c(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 13*o = -3*k - 4308, 3*k = 10*o - 4350. Which is smaller: k or -1431?\nAnswer: -1431","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -9 - 19. Let j(m) = -m**3 + 8*m**2 + 12*m - 2. Let r be j(f). Let q = -51 + r. Calculate the greatest common divisor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -50*j + 3060. Let u be k(61). What is the greatest common factor of u and 10910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25*h**2*l + 79*h**2 + 1739*h*l + 47655*h + 23*l - 3 wrt l?\nAnswer: 25*h**2 + 1739*h + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5871?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-5 - (-17)\/((-153)\/(-72)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121.66 + 118.66. Which is the fifth biggest value? (a) 4 (b) g (c) 5 (d) -5 (e) -29\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z + 12 = 0. Let f(n) = 6*n - 4. Let o(g) = -7*g + 5. Let p(l) = z*o(l) + 5*f(l). Let m(t) = -2*t. Determine m(p(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*b + 324, l - 3*b = -7 + 184. Suppose -5*f = -l - 42. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 16*p**2 + 26*p + 342. Let b(j) = 17*j**2 + 21*j + 341. Let u(i) = -6*b(i) + 5*h(i). Find the first derivative of u(a) wrt a.\nAnswer: -44*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13856 - -13842. Sort -8, f, -23, -3.\nAnswer: -23, f, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**17\/t*t**(-14)\/t)\/(t\/(t*t**(-2))*t\/((((t\/t**(-19))\/t*t)\/t)\/t)))**(-34) assuming t is positive.\nAnswer: t**(-544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4312462 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44515.66 - 44513.0600073. Let q = 2.6 - x. What is q rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 773244 divided by -6?\nAnswer: -128874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*s - 51 + 120, 5*s - 192 = -n. List the prime factors of s.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 9 - 3 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1983, -4012, -6043, -8076, -10111, -12148, -14187?\n\"Answer: -o**2 - 2026*o + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21659 is divided by 139.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-32))\/(27\/24)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7424\/464 + -2 + (-555)\/39.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(143)*1)\/sqrt(11))**2 + -3)*2.\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - -61. Suppose -2*o - j + 162 = j, o = j + p. Suppose o + 103 = 3*v. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u + 1 - 3 - 3*u + (0 - 1 - 2)*(-3*u + 6*u - u) as s + k*u and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 38237.49 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76.6735 + -0.14.\nAnswer: -76.8135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -28. Suppose 3*a - w = l, 4*a + 2*w - 17 + 3 = 0. Suppose -d - 4*j + j + 9 = 0, a = -d + j. Solve -16 = 2*g - d*g + 5*v, 3*g = v + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 62 = -12. Let k = 110.53 - 110. Let n = 0.23 - k. Put -3, -1, n, b in ascending order.\nAnswer: b, -3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 6*a = -8*a + 49 - 58, -3*h = 61*a - 17 - 175 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h*o**4 - 2*h*o - 124577*o**5 - 92707*o wrt o?\nAnswer: -12*h*o**2 - 2491540*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h + 15. Let y(i) = -4*i**2 + i + 6. Let s be y(-2). Is f(s) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + (3*(sqrt(242) + sqrt(242) + 0))**2 + (sqrt(22)\/(sqrt(704)*-1) - (sqrt(12)\/(sqrt(6) + (sqrt(294) - (sqrt(294)*-1 + sqrt(294)))))**2).\nAnswer: -sqrt(2)\/8 + 279007\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22495911 divided by 2?\nAnswer: 22495911\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2221121 + 11?\nAnswer: 2221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -802.1 + 802. What is the closest to w in 4, -1, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -14. Suppose l*z + 5*y + 2 + 1 = 0, -z = 2*y. What is the remainder when 423\/z*(-4)\/(-3) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 300, 451, 606, 765, 928?\nAnswer: 1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2.3. What is the third smallest value in -0.4, l, -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/434 and 17\/30.\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r + 43. Let q(z) = -2*z + 14. Determine 6*g(b) - 17*q(b).\nAnswer: -2*b + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1330, 1328, 1314, 1282, 1226, 1140, 1018, 854?\n\"Answer: -b**3 + 5*b + 1326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 137, 265, 391, 515?\n\"Answer: -p**2 + 131*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 15*r**3 - 18*r**2 - 18*r - 18. Suppose v + 13 = 14. Let n(y) = y**3 - y**2 - y - 1. Calculate v*u(t) - 18*n(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -2*u + 5, 152*u + 47 = 3*y + 150*u for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 36 = -6*u, 4*v = -4*u + 24 - 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*u + 33198 = -765*u - 68440 + 10918 for u.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 - 78. Solve k*s - 20*s = -6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*((-3)\/6)\/((-1)\/16). Let a(d) = d**2 + 9*d - 8. Calculate the remainder when a(-12) is divided by 5 - (3 + (2 - q)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + 808*n + 806*n - 1614*n.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 3*o**2 - 3*o + 10. Calculate n(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 2*b + 175 = -5*m, -4*m - 5*b = 99. Is -29 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - m**2 - m - 1. Let x(g) = 3*g**3 - g**2 - g - 1. Let j be (-1 + 0)*(-3)\/3. Calculate j*x(v) - h(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 1 (c) -11\/4 (d) -4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f - 4*t = -33*f, -11*f + 4*f = 6*f + t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2029 - 1102. What are the prime factors of t?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 1 - (-10 - -9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uupxp. Give prob of sequence uu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 14 - 1 - 1 + 0 - 1 + (1 + 0 - 3)*(-4 + 6 - 4) - 1 + 5 - 2)*(-a + 4*a - 2*a).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -519 - -523. Let i = 17 - 9. Solve -b*q + 8 = -i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 258.1 - 47.1. Let a = c + -211.000161. Round a to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29486500 by -4.\nAnswer: -7371625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 8.7. Let q = -1.7 - r. Which is the closest to -0.1? (a) 1 (b) q (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36237 - 2778. What is the remainder when c is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.6, 57.2, 0.149.\nAnswer: 0.149, 9.6, 57.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**7\/2520 - 13*p**6\/720 - 17*p**5\/120 - 73*p**4\/6 + 102*p. Let r(m) be the third derivative of f(m). What is r(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxwbuwv. Give prob of sequence lb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 573\/490 - -3\/98. What is the fourth biggest value in 2\/13, k, 0.5, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*q = -4, 4*m + 2*q - 6*q = 0. Find the third derivative of -2*j**m + 4*j + 96*j**6 - 200*j**6 - 9*j wrt j.\nAnswer: -12480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01656 - 64.03656. Round n to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38.88 + -38.6. Let f = -0.28 + l. Which is the third biggest value? (a) f (b) -0.35 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1445 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1291279*y**3 + 1548370*y**2?\nAnswer: -7747674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 32515054*d**3 + 32515108*d**3 + 7.\nAnswer: 54*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from {t: 4, q: 1, h: 3, e: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**3 - i**3 - 16*i**3)*(-5*i - 6*i + 5*i) + (-i**3 - 4*i**3 + 4*i**3)*(-3*i - i + 2*i) as s*i + j*i**3 + c*i**4 + n*i**2 + z and give c.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221536 and 1509536?\nAnswer: 5152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-nine halves of a meter?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2054778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 20*u = -8. Suppose u = -o, 2*o + 2*o - 8 = -4*n. Factor 21*t**3 + 3 + 3 + 34*t**4 - 13*t - 33*t**2 - 8*t - 7*t**n.\nAnswer: 3*(t - 1)*(t + 1)**2*(9*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -3 - 7, -4*i - 10 = 2*x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 758076.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -99*i**3 + 6*i**2 - 2*i + 17. Is g(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7 = 4. Which is the closest to d? (a) 5 (b) -11\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23452 (base 6) in base 3?\nAnswer: -11200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 239024 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1242 + 1118.5. Round n to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.5? (a) -4 (b) -1 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000000010101010001 (base 2) in base 3?\nAnswer: -10221121121201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -800\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32331? (a) -0.5 (b) 0.4 (c) 4\/3 (d) 0 (e) -5\/6 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/40)\/((-2)\/10). Solve 0 = -w - 2*v, 0*w = -4*w + q*v - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -34*z - 1. Let u be 0 + (-7 - 1 - -7). Calculate c(u).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.03, -1.4, -3, -2\/7?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42523738877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 12:30 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and 134?\nAnswer: 2278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -0.04, -2\/3, -17\/23, -3?\nAnswer: -17\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a = 96*a - 132594. What are the prime factors of a?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (6 - (3 + 5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111011100001 - 100?\nAnswer: 10111011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 289, -1, -52, -14, -3 in descending order.\nAnswer: 289, -1, -3, -14, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Suppose 2*q = -d*q + 3*m + 96, -120 = -5*q - 3*m. Let t = -7 + 10. What is the greatest common divisor of t and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8039 + -2684. Is 0.1 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 17 = 4*p, 1346*f = 1343*f - 5*p - 18 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -308 + 307. Put 2, q, -12, -2 in descending order.\nAnswer: 2, q, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 695 and 635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 31*l**2 + 6*l - 3. Let m be (10\/(-35))\/(4\/(-28)). What are the prime factors of v(m)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 119*c + 5. Let v be s(-1). Let b be v\/21 - 8\/14 - 0. Let q be (-3 + -7 + 4)\/(b\/21). What is the greatest common factor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 293 or 290?\nAnswer: 290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30, -59, -86, -111, -134, -155?\n\"Answer: c**2 - 32*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/13 or 133\/2?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -166*9\/(-6)*(-4)\/(-12)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5141 - -2771\nAnswer: -2370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 817 - 816.7. Let s = -3.1 + 3. Let f = 0 + s. What is the smallest value in 1, n, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-3 + 2)) + (-12080)\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 + 263*z. Let w(l) be the second derivative of -l**4\/12 - 2*l + 45. Give k(w(r)).\nAnswer: 2*r**4 - 263*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -104, -101, -98, -95, -92, -89?\n\"Answer: 3*d - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8591302.\nAnswer: 2, 4295651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 414 and 619183.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 7 = 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 (base 6) in base 16?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.98? (a) -3 (b) 5 (c) -0.03 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -47*q + 686. Let d be g(14). Solve -4*s = 3*j + d, -2*j = s + 25 - 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31, 167, 393, 709, 1115, 1611?\n\"Answer: 45*l**2 + l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(7) + sqrt(252)))**2*5*-6.\nAnswer: -570\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17565826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-4 - -5) + 4 - (11 + (86 - 41)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w + w + w + 2*w. Let r(k) be the first derivative of 13*k**6\/180 + k**3 - 29. Let a(v) be the third derivative of r(v). What is q(a(d))?\nAnswer: 26*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.1257, -1, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 377 - -1703. Is 130 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10575 + 10580. Solve -2*x + t*r - 30 + 13 = 0, -6 = -2*r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2171 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**5 - 1197*w**4 - 12930*w**3 - 49092*w**2 - 79272*w - 46560 = 0 for w.\nAnswer: -388, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/17)\/j**(-7)*j**(-2\/29)*j**(-8\/3))**(-3\/34) assuming j is positive.\nAnswer: j**(-3197\/8381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 6 = n. Let y = n + 8. Let g = 8 - y. Let q(c) = -c**3 + 3*c**2 - 2. What is q(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002900667 to 7 decimal places.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 2221121111?\nAnswer: 2221121103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632067.\nAnswer: 3, 59, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a. Let c = -43 - -45. Suppose 5*z = -c*z + 21. Let p(y) = 73*y - 8*y**2 - 73*y - z*y**2. Determine r(p(n)).\nAnswer: -44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 56 = 7*c. Let d = -98 + 60. Let g = c - d. Is 24 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 25*g**5 + 985*g**4 + 4715*g**3 - 18445*g**2 + 6780*g + 5940 = 0?\nAnswer: -33, -9, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-266)\/(-588)*-3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 - 5*g**2 + 10*g - 3. Let x(f) = f**3 + 5*f**2 - 9*f + 4. Let p(m) = -2*c(m) - 3*x(m). Let n be p(4). Solve -n = i + i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 11*m**2 + 16*m - 3. Let k = -171 - -159. What is z(k)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-2))\/1*(5 + -5). Sort 5, t, -2, -5.\nAnswer: -5, -2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/80977 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, -17, -163, -453, -935, -1657, -2667?\nAnswer: -4013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 716657199600713+0.2\nAnswer: 716657199600713.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 2\/7, 1, 0.028, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:04 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*d**2 + 5*d**3 - 5*d**3 + 73*d**2 + d**3 - 12*d**2 to u + g*d**3 + x*d**2 + a*d and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*b = -6*b + 2, -2*b = -y + 7. Solve y*g - 21 = 4*o, g = -3*o - 2*g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 20 = 4*x, -4 = 2*x - 11481*o + 11478*o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/45 or -0.0096?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 2\/11, -385119?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.057383 * -39\nAnswer: 2.237937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 10 = 5*a, a + a = -4*w + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23634135 (base 8) to base 2.\nAnswer: -10011110011100001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 5:58 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*m - 6*z + 666, -z = m + 222. Let s = 229 + m. Solve -s = 2*c - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, g: 3, r: 1, v: 2, h: 1}. What is prob of sequence vvrh?\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -816a - -4?\nAnswer: -8166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008267 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 - 60. Suppose 3*g = 2*z - x, -z + 24 = 2*g + g. Let k = -7 + z. Solve -l + j - k = -2*j, 5*j + 5 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 952192 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 451822413 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + 11. What is the least common multiple of 36 and t?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 a, and 1 k when three letters picked without replacement from {b: 2, k: 2, i: 3, h: 4, a: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6)*0 - 3. Let q = -0.007 - -0.407. What is the second biggest value in q, 5, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4 = -2*h, 0 = 2*j - 3*h + h - 14. Suppose a = k + 2*k + 13, 5*a - j*k = 78. What is the remainder when 46 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -12\/3787 (b) -2\/9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2784 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 5*p**2 - 100*p = 0.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-186)\/(-31)*(-2)\/(-4). Solve 0 = -v*r, 1 = -z - 5*r + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**7\/56 + 3*k**6\/40 - 27*k**5\/80 + 5*k**4\/16 - 26*k + 5. Factor q(b).\nAnswer: 3*b**2*(b - 1)**2*(b + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1938061 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25.662? (a) -2\/5 (b) 1\/5 (c) -1\/83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 19 = 27*x. Solve -x - 4 = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 212404700 to the nearest one hundred thousand.\nAnswer: 212400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + 19. Let n = 92 - 70. Calculate the remainder when h is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y = 0. Let m = 0.06 + -0.46. Let o = m - -0.7. What is the smallest value in -3, y, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*m - 4*c, -36 = -5*m - 9*c + 13*c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.7 - 2.1. Let m = q - 0.6. Let l be (-2)\/(4\/(-2) - 8\/(-6)). Which is the nearest to -0.1? (a) 2\/21 (b) m (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12204 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 108*h**4 + 81003*h**3 + 15350454*h**2 + 60530067*h + 1669548 = 0. What is h?\nAnswer: -373, -4, -1\/36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/28 and -37\/207606?\nAnswer: 415212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 14*t + 17. Suppose 40*m = 30*m - 130. Determine f(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 3, 64, 2, -17 in decreasing order.\nAnswer: 64, 23, 3, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f + 1. Let i(l) = -l + 19. Let p be i(21). Let x be ((-1)\/p)\/((-5)\/2 - -3). Give u(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19554 divided by 3259\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 34. Let p = -9\/4 + s. Let l(g) = g**3 - 9*g**2 + 7*g + 6. Let i be l(8). Which is the third biggest value? (a) p (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17118 and 738?\nAnswer: 701838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = s - 12, 0*s + 2*z - 12 = -2*s. Differentiate 21 + s*v - 11*v - 18*v wrt v.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(195\/(-6)))\/(1593\/(-177)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -r - 3*h, -h + 35 = 5*r - 6. Suppose w = -4*w + 20. Find the third derivative of -7*b**4 - 5*b**4 + r*b**w + 2*b**4 - 4*b**2 wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 5:23 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30841 + 3*n + 5*n - 30841 + 6*n.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3682 in 1\/7, -1, 43, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-5)*g*g)**15)**(-46) assuming g is positive.\nAnswer: g**1380","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 19 = 3*c + 220, 2*l - 5*c = 88. What is the remainder when 347 is divided by l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99498 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2)\/o)\/((o\/o**(1\/2))\/o)*(o*(o*o**2\/o)\/o)\/o*o**(2\/7) assuming o is positive.\nAnswer: o**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26488037*s**2 - 14229455*s - 2?\nAnswer: -52976074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101055212 to the power of 1\/2, to the nearest integer?\nAnswer: 33182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 - (0 - 3 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*s + 2 = -0*x, -5*s + 5 = x. Suppose x*c + t + 175 = 5*c, 2*c + t - 77 = 0. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 2)*(-2*n + 5*n - 4*n) + 0*n + 0*n + n + 4*n - 17*n + 27*n + (1 - 3 + 0)*(-4 + 4 + 2*n) - 79*n - 21*n - 34*n to y + u*n and give u.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4\/5 + 807*a**3\/5 + 15857*a**2\/5 + 92241*a\/5 + 127494\/5 = 0 for a.\nAnswer: -787, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6456 + 234 = -6*m. Is 37 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -239 * 25.\nAnswer: -5975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(210)*-1)\/(sqrt(1440) + sqrt(1440)*2))\/(sqrt(147)*1 + (2*sqrt(75) - sqrt(75))).\nAnswer: -sqrt(7)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5 = 3. What is the remainder when (22 + 0)\/(7\/(7\/2)) is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.03586 and -38272.\nAnswer: -38271.96414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -314\/15 - -64\/3. Let v = 1178.3 + -1178. What is the closest to 1 in a, v, -4\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7888920 is divided by 780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**3 + 49*i**2 - 14*i + 6. Let c be m(-15). Which is smaller: c or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -905, 5, -5 in descending order.\nAnswer: 5, -5, -905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263712 divided by 24.\nAnswer: -10988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19075182 divided by 21.\nAnswer: -908342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7516*n - 503590. What is m(-67)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 4780*x**2 - 650045*x - 4782820.\nAnswer: 5*(x - 127)*(x + 7)*(x + 1076)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27977 - -27980. Sort 14, 187, u.\nAnswer: u, 14, 187","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tittti.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.7 + 2. Let g be ((5 - 15) + 7)*(-2)\/6. Let d be (24\/(-30) + 1)\/(g - 0). What is the nearest to 0.1 in b, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2799 divided by 14\nAnswer: 2799\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 + 3*x**2 + 9*x - 5. Let h be k(-7). Suppose -6*w + w + h = 0. Is 17 a factor of 2\/(-6)*w\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1316 + -3841\/3. Is a >= 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2357 is divided by (8 - (-450)\/(-36))\/((-3)\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 217*z**2 + 3*z**4 + 2*z**3 + 2*z - 215*z**2 - 2 + z**4 in the form s*z**4 + x*z**2 + u + a*z + r*z**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2 - 3 + 6*j + 0 + 2*j - 2*j**2. Let d(q) = q**2 - q + 1. Let l(h) = 4*d(h) + s(h). Let i be ((1540\/198)\/35)\/(2\/(-18)). What is l(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -210?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 1. Let z(n) = -2*n**3 + 7*n**2 + 5*n - 6. What is 6*t(h) + z(h)?\nAnswer: -2*h**3 + h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 take away 899.085509?\nAnswer: -898.975509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 16. Let q(z) = -z - 33. Let w(o) = -5*c(o) - 2*q(o). Let g be w(16). Calculate the greatest common divisor of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47841860 divided by 44\nAnswer: 1087315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 12*n**2 + 10*n + 11. Let x be q(11). Suppose k - 10*k + 90 = x. Suppose -2*m = -k, 740 = 3*z - m + 2*m. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -13. Let c = 10 + m. Suppose k - 174 = -c*f - 5*f, -2*f - 586 = -4*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-11 - (0 + -1)). Suppose 16 = 4*l - 4*b, -3*l - 1 + 6 = 4*b. What is the highest common factor of d and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) -2\/9 (b) 544 (c) -52\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*g - 2*q - 153, -g + 75 = 3*q. What is the highest common factor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-40) - (-2 + 0\/(-1))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22222, -26311, -33120, -42649?\n\"Answer: -1360*z**2 - 9*z - 20853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 133 - 177 + 8*w + 2*w. Is 7 a factor of x(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 766 + 44 = 0. Let y = g - 273. Sort -11, -1, y in ascending order.\nAnswer: -11, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2471000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9730, -17865, -26000, -34135, -42270, -50405?\nAnswer: -58540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 985 and 710?\nAnswer: 139870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -50*z**2. Let f(b) = 3*b - 126. Let u(w) = 2*w - 90. Let k(h) = 5*f(h) - 7*u(h). Give v(k(s)).\nAnswer: -50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28193112061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212472.\nAnswer: 2, 3, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 + 55?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*d - 660 - 5055. Suppose 0 = 16*l - 19*l + d. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 62\/2 - (0 - 1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*l - 7*l - 4 + 20*l)*(2*l - 6 + 6)*(-83*l - 59*l**2 + 83*l).\nAnswer: -118*l**4 + 472*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 167\/4. Let h = -0.1 - 0. Let y = -0.9 + h. Which is the closest to y? (a) -1 (b) t (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -718*d**3 - 1972*d?\nAnswer: -4308*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 812*b - 381. Is 21 a factor of k(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2136921 and 33571?\nAnswer: 1215908049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3955099 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 142?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.145 + 0.105. Which is the third biggest value? (a) n (b) 0.1 (c) 3\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 24*v. Let u(n) be the first derivative of -n**3\/3 - 25. Determine a(u(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 73.98536 + -11029391.3\nAnswer: -11029317.31464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 913*v**4\/12 - 5*v**3\/6 - 189*v**2 + 4*v - 13. What is the second derivative of b(g) wrt g?\nAnswer: 1826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-7))\/1 - 845\/(-91). Suppose 12*c - 9 = m*c. Solve -3*v + 2*x = 0, c*x = 2*x - 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (233 - 223) + -2 + -3 + 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -3*n**4\/4 - 7*n**3\/3 + n**2 + 13*n + 24. Is c(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40578 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w - 2*w - 4*w + 1 + 7*w. Let z be m(3). Let l be (-28)\/(-54) - (z + (-68)\/(-12)). Which is bigger: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.11 - -5.11. Let j = -9792.974 + 9782. Let h = 0.026 - j. What is the biggest value in h, r, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6216 divided by -74?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1359059)\/(-39) + ((-140)\/(-90) - (-8)\/(-36)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 9:39 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, 1, -4, -1 in decreasing order.\nAnswer: 1, 0.2, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 6:49 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1962807*h**2 - 2262965 wrt h.\nAnswer: 3925614*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 648\/8694*((-245)\/(-10))\/7?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (8 + -23 - -3) - (-41 - -134 - -18)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -18. Let f(r) = -r**3 - 6*r**2 - r + 5. Is f(c) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111010 (base 4) in base 16?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 379 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 92109 - 54087 = -3*s, -97447 = -2*s + 5*m. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1510 (base 6) in base 10?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 11.23594?\nAnswer: -14.23594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 - 71.6. What is the second biggest value in q, 1\/3, 3, 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46196.96 centuries to decades.\nAnswer: 461969.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2120021222120 (base 3) in base 7?\nAnswer: -14410344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*v - 188 = 0. Let g = -21 - v. Let c = -12 + 25. Calculate the highest common factor of g and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 33. Suppose 3*p + 2*g - 10 = 0, p - 3*g + 3 = -1. Calculate the least common multiple of p + 6\/(-3) + 6 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*d**5\/4 + 5085*d**4\/2 - 110967*d**3\/4 + 210393*d**2\/2 - 164112*d + 84096 = 0. What is d?\nAnswer: -146, 1, 3, 16\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7421*x - 81703. Give z(-11).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321912115 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-30))\/((-72)\/32*2)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1052, 4088, 9152, 16250, 25388, 36572, 49808, 65102?\n\"Answer: b**3 + 1008*b**2 + 5*b + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50383103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3104, 4508, 5908, 7304, 8696?\n\"Answer: -2*x**2 + 1410*x + 1696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 - 180*v + 174*v + 4.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/(-3) + -19 + 13. Suppose -10 = o - 3*o. Suppose -17 = o*i + 3, -5*i = -q + 50. Calculate the highest common factor of q and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 257145\/8 or 32143?\nAnswer: 32143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 359, 716, 1073, 1430, 1787, 2144?\n\"Answer: 357*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-152 + 1)*(-3)\/6*2. Find the second derivative of -159*s**2 + 667*s**2 - 55*s - m*s**2 + 1 - 181*s**2 wrt s.\nAnswer: 352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40 or 1\/214?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3438*r**4 - r + 5 + 1717*r**4 + 1720*r**4 to z*r + q*r**2 + d*r**3 + i*r**4 + m and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/32 + 13\/32. Which is the nearest to r? (a) -0.1 (b) -0.3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.916 - -0.084. Which is the nearest to -3? (a) -0.4 (b) s (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2030387 is divided by 597?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 3010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 20?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12930829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 123829 + 477?\nAnswer: 124306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -2321\/18?\nAnswer: -2321\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (37584\/306 - 123) + (-2538)\/(-510)\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1172490 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c + 21*c - 58*c.\nAnswer: -29*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533138988 plus 0.134?\nAnswer: 1533138988.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3553 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 - i**3 + i**4 - 2*i**4 + 85*i**4 - 17*i**4 + 134*i**4 - 2*i - i**4 + 2*i + (-4*i**3 + 2*i**3 + i**3)*(-2*i + 6*i - 3*i).\nAnswer: 197*i**4 - i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(16)\/sqrt(4)) - (1*sqrt(28)\/sqrt(4))**2.\nAnswer: -7 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 644808727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 51 - 59)*((0*v**3 - 5*v**3 - 2*v**3)*(0 - 1 - 1) + 0*v**3 - 6*v**3 + 4*v**3 - v - v**3 + v + (-2*v**2 + 0*v**2 + 0*v**2)*(-2*v + 0*v + 3*v)).\nAnswer: -810*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.191 - -4.\nAnswer: 7.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29063263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*t + 28*t + 6*t**4 + (-8*t**4 + 5*t**4 + 15*t**4)*(4 + 53 - 284) to the form y*t**4 + z + u*t**3 + w*t + o*t**2 and give y.\nAnswer: -2718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 1 + 3. Suppose 0 = 5*h - 3*c - 22, -2*c - 2*c + 24 = 4*h. Suppose -19*u + 14*u = h. Sort u, 0, v in increasing order.\nAnswer: u, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. What is the remainder when 12\/(-16) + (-861)\/(-12) is divided by (-2 + (4 - j))\/((-1)\/18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5783*z - 6185*z - 12060 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -10*j - 43. What is the units digit of f(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/14)\/(-5*(-6)\/30)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (122\/(-305))\/(((-21)\/10)\/3)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/5)\/((12\/15)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 418, 456, 520, 610?\n\"Answer: 13*j**2 - j + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 + -65. Let z(a) = 48 - 22 - g + 3*a**2. Let y(x) = -255 - x**2 + 255. Calculate y(z(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -23 + -1 + -4 + -11 + -6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*x + x. Suppose 3*k - w = 3 - 1, x*k + 3*w - 8 = 0. Let d = -6 - -23. Calculate the least common multiple of k and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 163 - 33. Let r = 205 - n. Let i = -74.9897 + r. Round i to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 23*k**2 - 624*k**4 + 621*k**4 - 1 as h*k**2 + r*k**4 + z + p*k**3 + v*k and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 7:02 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/4 - 187*a**3\/2 - 11895*a**2 - 543266*a - 3631696 = 0 for a.\nAnswer: -122, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1157635.77 to the nearest 100.\nAnswer: -1157600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412*b - 189*b + 21888 = -119*b for b.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10700 is divided by 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5005*a - 4983*a - 3520 = 0. What is the remainder when 1452 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 5*v - 10. Let j = -45 - -38. Is t(j) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27366394*h**4 - 68*h**2 - h + 11150 wrt h.\nAnswer: -656793456*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39395, -81197, -123009, -164837, -206687, -248565?\n\"Answer: -r**3 + r**2 - 41798*r + 2403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11797*u**2 - 3 - 154*u**3 + 3 - 1470*u**3 + 11797*u**2.\nAnswer: -1624*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*x - 4759674 = 52*x + 2738882. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4467, -1, 41, -5, 0 in increasing order.\nAnswer: -4467, -5, -1, 0, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyoyyyoyooooyoooo. What is prob of sequence oy?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -142*v. Let c(y) = 41665*y. Calculate s(c(i)).\nAnswer: -5916430*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1198*g**2 + 58 - 595*g**2 - 602*g**2.\nAnswer: g**2 + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2779.27 + -8\nAnswer: 2771.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15917208?\nAnswer: 2, 3, 47, 103, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - (sqrt(567) + sqrt(567) + (sqrt(567) - (0 + 2*sqrt(567)))))**2 - (2 + (sqrt(567) - 1*sqrt(567)) + sqrt(567))) + 0 + (-4 + sqrt(28))*3.\nAnswer: -14 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 10469*f + 6. Let g(l) = 3499*l + 2. Give -17*g(w) + 6*k(w).\nAnswer: 3331*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/3 - (-3)\/9. Let o(h) = -h - 9. Let u(g) = 2. Let b be 4*(2 + (-17)\/4). Let t(s) = b*u(s) + l*o(s). Let j(a) = 2*a. What is j(t(z))?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**4\/4 + 2799*b**3\/4 - 67707*b**2\/4 + 127013*b\/4 - 31053\/2 = 0.\nAnswer: -2823, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 4*r = -4, 14*s = 9*s - 4*r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/2 - 9*l**2\/2 + 243*l\/2 - 231\/2.\nAnswer: -3*(l - 7)*(l - 1)*(l + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - 5264.5?\nAnswer: -5280.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*s - 11 + 11)*(-5*s + 5*s + s).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 468.43 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*j = -2*l + 3425, -5*j = -5*l + 3405. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -78, 13, -1\/4, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -9*b. Sort b, -3, 2 in descending order.\nAnswer: 2, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(448) + -5 + sqrt(448) + sqrt(448) + -2 - sqrt(448)) + 4*(2 + sqrt(448))*-3)**2.\nAnswer: 3808*sqrt(7) + 88097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 8*t + 3*t - 3*t. Let w(m) = -m. Calculate w(x(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*o**6 - 29*o**2 wrt o?\nAnswer: -6720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -965*v**4 - 76*v**3 + 3*v + 58943272 wrt v?\nAnswer: -3860*v**3 - 228*v**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zziziiizzzii?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 5:48 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 p, and 1 n when four letters picked without replacement from {e: 1, u: 3, m: 5, n: 6, v: 2, p: 2}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1\/2 (b) 5 (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1307?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x + 7. Let p(j) = -4*j - 7. Let d(h) = -3*i(h) - 4*p(h). Let u(c) = 5*c + 8. Let v = 153 + -146. Let b = -11 + 5. Give b*u(f) + v*d(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6404302\/51 + 125570. Let d = 100\/17 + b. Factor d*f**2 - 8\/3 + 4\/3*f.\nAnswer: 4*(f - 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4340\/9 less than or equal to 481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11920 + 16975. Does 91 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1784327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 10153719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = w - 5*b - 0, -4*b + 40 = -4*w. Let k = w + 8. Suppose 4*c + 3*g = 15, 0 = -c - 3*g - k - 3. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2475 divided by 1875.\nAnswer: -33\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + i - 1. Let x(z) = 3*z**2 - 8*z + 53. Let v(a) = -6*q(a) - x(a). Let o be v(-8). Let t = -127 + o. Which is bigger: t or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 123*h + 1350.\nAnswer: -3*(h - 50)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 48330558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1356341 to the nearest integer?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 683*m - 340*m - 344*m. Let i(n) = -21*n**2 - 2. Determine i(o(h)).\nAnswer: -21*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/6)\/((-2)\/(-9)). Let k be (-2 - 1)\/(r\/16). Factor -5*h**3 - 2 - 4*h + h + 2*h + k*h**2.\nAnswer: -(h - 1)**2*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a4a92 - -12?\nAnswer: a4aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -179 + 167. Is -21\/2 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tizuggff. What is prob of sequence fu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11111101012 (base 3) to base 14\nAnswer: -24364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -205*v**5 + 11*v**4 - 2*v**3 - 105*v**2 + 59 wrt v?\nAnswer: -12300*v**2 + 264*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1056\/36 + -67 - 3\/9\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3325315177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2876149691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001509244 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 0\/(-3) + -7. Let i be 3\/(-20) - (-1)\/(-4). Put 0.7, o, 1\/4, i in increasing order.\nAnswer: o, i, 1\/4, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 606 divide 147327084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*x = -2*q - 2841, -67 + 79 = -x + q + 48 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2, 124, 0 in descending order.\nAnswer: 124, 2, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 13*v**2 - v + 11. Let a be m(13). Let h = a + -2. Let n(q) = q + 1. Let o be n(h). What is the second biggest value in o, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + q**2 + 8*q - 4. Let t be x(3). Sort t, -3, 1, -4 in decreasing order.\nAnswer: t, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 = -9. Suppose -3*i + x = -4, -z = -3*x + 1. Solve -i*s + 7*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 - 24*r**2 + r - 10. Give i(-12).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65090 and 1441885?\nAnswer: 66326710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10221 + -4?\nAnswer: -10230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -14020855303 to the nearest one hundred thousand.\nAnswer: -14020900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 0.2 (c) 46 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 101?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2400*f - 226*f**2 + 106*f**2 + 5623 - 21623 + 2*f**3 = 0. Calculate f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.01, 1\/3, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751 is divided by 680.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 3*v = -75, -5*v - 160 = -3*f - 131 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1532*y - 1888. Give c(-3).\nAnswer: 2708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 383 = r + 230, -9*r + 15*r + 123 = r + 4*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1036291281?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-183 + 14 - 32)*(5*i - 3*i - 3*i)*(-i - 2*i + 4*i).\nAnswer: 201*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-426)\/355)\/(2*(-1)\/115) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -48, -46, -42, -36, -28, -18?\n\"Answer: d**2 - d - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190964 and 4?\nAnswer: 190964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**3\/9 - 88*h**2\/3 + 1541*h\/9 + 602\/3 = 0. Calculate h.\nAnswer: -1, 7, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11 + -10)*(3 + -1). Let o(s) = 4*s + s + 4*s**v + s**3 - 4*s - 2*s**2. Calculate o(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1259793)\/(-1236))\/453)\/(2\/8*1*-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 3, 2*i + 17 = -i - 2*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22857125 is divided by 75?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 19. Let p(a) = -109*a**2 + 12*a + 23. Let i(f) = 127*f**2 - 14*f - 23. Let k(v) = 6*i(v) + 7*p(v). Determine c(k(r)).\nAnswer: 2*r**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-3\/13)*q**(-4\/3) assuming q is positive.\nAnswer: q**(-22\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154467 is divided by 11879?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 2\/7*o - 3 - 2\/3*o**3 - 6\/7*o**2. Factor r(a).\nAnswer: -2*(a + 1)*(7*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2097115266 to the nearest integer?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1263997223.1 to the nearest one hundred thousand.\nAnswer: -1264000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12676279 less than 3?\nAnswer: -12676276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5291927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 5:15 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42233827*r**3 + 42785553?\nAnswer: -126701481*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 215798044 to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7407 + 37036\/5. Suppose -2*h = -4*h + 8. Put h, 5, -0.3, d in descending order.\nAnswer: 5, h, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yd when two letters picked without replacement from yvevdvev?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34152782 to the power of 1\/2, to the nearest integer?\nAnswer: 5844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 + 4 + 2 + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 5*o**2 + 88*o - 510. Give z(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-177\nAnswer: 17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.74 + -3. Let q = -10.74 + a. Let n = 11.42 + q. Round n to 2 dps.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j. Let b(d) = 4*d - 2. Let i = 3 - 5. Let s(q) = 13*q - 7. Let p(r) = i*s(r) + 7*b(r). What is h(p(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 2*o + 2*o + o - 261*o**3.\nAnswer: -261*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = r - 471, 5*p + 251 + 196 = r. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -75, -158, -275, -426, -611?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 480.8334 decades?\nAnswer: 4.808334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zznnzkavnvkvjj. Give prob of picking 1 v, 1 k, and 1 j.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 407, 17, 5, 18, 4 in ascending order.\nAnswer: 3, 4, 5, 17, 18, 407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 8)*(i + 3*i - i).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*f = -61*f - 0*q + 2*q + 3*q, -6 = -2*q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1281159.\nAnswer: 3, 11, 12941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -73728869385?\nAnswer: 73728869387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*(sqrt(405) + 1 + sqrt(405)))**2 + (sqrt(50)\/sqrt(40) - (sqrt(180) - (sqrt(180) + 0))**2)*4.\nAnswer: 1010*sqrt(5) + 25969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 20. Let w = z - -31. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/64? (a) -4 (b) -2\/237 (c) 0 (d) 3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -254752 at most as big as -255486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 2*n + 2. Let u be o(0). Suppose 0 = 2*x + x - 15. Solve -x*s = 4*l - 12, u*s + l = 2*l - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.05? (a) -1 (b) -7\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 96, 94, 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/7))**(-21)\/(g**(-2\/5)*g)**12)\/((g\/(g\/g**(2\/13)))**21)**29 assuming g is positive.\nAnswer: g**(-6948\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-18)\/(-45)*-5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**5\/20 + c**4\/4 + c**3\/2 + 5*c**2\/2 - 3*c. Let s be g(4). Calculate the highest common factor of s and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.29? (a) -2\/15 (b) 0.7 (c) 0.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/12*(-19 - 1). Suppose d - 2*a = 6*d - 2253, -5*d = -p*a - 2225. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 215 and 34486?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**6\/30 + 27*o**5\/20 - o**4\/2 - o**3\/6 - 61*o**2 - 1. What is the second derivative of g(m) wrt m?\nAnswer: -24*m + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 8) to base 9\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 32. Let d = 13045 + -13044. Sort d, z, -4\/3, -0.1 in ascending order.\nAnswer: -4\/3, -0.1, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 15 = -5*l, -89*b - 3*l = -93*b - 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -19 - (-1 + 2 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 273552?\nAnswer: -547104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 493273 or 493274?\nAnswer: 493273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -4, 3.\nAnswer: -15, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4824, 5196, 6516, 9258, 13896, 20904?\n\"Answer: 79*r**3 - 181*r + 4926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q + 7*q + 6*q - 10*q.\nAnswer: 23*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l**2 + 3*l - 3*l)*(2*l + 3*l - 3*l) + 29*l**3 - 50*l**3 - 35*l**3)*(-l + l - 2*l)*(0*l + 9*l - 4*l).\nAnswer: 540*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(7\/2)*h**13\/h assuming h is positive.\nAnswer: h**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t**2 - 2*t - 1. Let k(l) = 2*l**2 - 11*l + 1. Let w be k(6). Suppose 3*q + w = 4. Calculate r(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*h, 0 = 5*l + 4*h - 3*h + 12. What is the common denominator of 8\/3 and l - 23*(-3)\/(-30)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -752*w - 348. What is the units digit of x(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 + (-28)\/(-12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11859496 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*t**3 - 51*t**3 - 54*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1007372*t + 68*t**3 - 48*t**4 - 1007372*t + (-4*t**2 + 0*t**2 + 3*t**2)*(3*t - 2*t**2 - 3*t) - 2*t**2 + 2*t**4 + 2*t**2 - t**4 + t**4 + t**4.\nAnswer: -43*t**4 + 68*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3941, 4 in descending order.\nAnswer: 4, 2, -3941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 627912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 - 44. What is the first derivative of -6 - x*k - 11*k + 25*k wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 6*t + 14183 = -4*w, 3*w + 56784 = 4*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 - 10*n - 6. Let j be t(5). Suppose 0 = k + k + 24. Let c = k + j. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**3 + 2*m**2 - 1. Let z be b(-1). Let w be 25\/15 - z\/6. Let a(s) = -2*s**2 + 4*s - 2. Let g be a(2). Sort g, w, -5 in ascending order.\nAnswer: -5, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -4, -2, -3.\nAnswer: -4, -3, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**7\/2520 + l**4\/24 - 4*l**2. Let i(k) be the second derivative of r(k). Let j(z) = -29 + 2*z**2 + 29. Determine j(i(f)).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16431847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1908\/16 + 2\/(-8). Suppose 0 = q - m - 24. Let o = q + -81. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/8)\/(95\/(-19))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8255.\nAnswer: 5, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 20. Let m be 23\/((-4347)\/(-162))*2\/(-4). Let w = 61 - 303\/5. Which is the nearest to w? (a) m (b) u (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144939880847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -490.5 - -487. Let x = -1.5 - p. What is the closest to -2 in 2\/3, -11\/6, x?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -260, -256, -232, -182, -100, 20?\n\"Answer: g**3 + 4*g**2 - 15*g - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/73306 and 47\/4.\nAnswer: 146612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 8597696*w**3 - 4*w + 8597517*w**3 + 4*w.\nAnswer: -179*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94360 + 677956. Let a be b\/(-12)*3*-1. Suppose -3*d + a = 4079. Round d to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**25)\/r)**(2\/97)*r**(3\/11)*r**(-20\/9))**(-1\/25) assuming r is positive.\nAnswer: r**(13771\/240075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2 + 1 = -j, -5*z - 2*j + 20 = 0. Suppose -i - 7 = -z*i. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/15 - (-3)\/15. Let v be (b\/42)\/((-6)\/7). Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4)**(-5)*j**(-3\/5)\/j**(2\/11) assuming j is positive.\nAnswer: j**(-1143\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -12, -27, -46?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/6536 + 526\/430.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -238 from 3.205.\nAnswer: 241.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18115188?\nAnswer: 2, 3, 7, 13, 53, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 193 + -195. Sort 0, -49, l in ascending order.\nAnswer: -49, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 80 = 8*z. Let f(w) = w**3 + 9*w**2 + 10*w + 2. Let q be f(-7). Let k = q - z. Solve 2*t - x + 8 = 17, k = -2*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 685946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 166 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 7 + 8, 0 = -4*z + b + 11. Find the second derivative of y - 4*y + 4*y**3 - z*y wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0 = 3*h - 5, -4*u + h = -21. Let d = -30 + 41. Let t = d + 9. What is the greatest common factor of u and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14088 + 0*a + 29*a**3 + 0*a - 14088.\nAnswer: 29*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 798 - 550. Let z = -247.996392 + w. Round z to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -22, 470, -28 in descending order.\nAnswer: 470, -4, -22, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f**2 - 3 - 28*f**2 - 6*f**2 + 5*f**2 + 5*f**2.\nAnswer: -44*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 3*f**2 + 3*f - 8. List the prime factors of v(5).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**17*k\/k**19*(((k*k\/k**(-3\/8))\/k)\/k)\/k**12)**(-50) assuming k is positive.\nAnswer: k**(8925\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -330182, -330183, -330184?\nAnswer: -330185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44234 + 13501?\nAnswer: -30333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -821\/553 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -269 + 269 + 5*u - 2*u - 1 + 1 + 2*u - 5*u + 2*u + (4 - 4 + u)*(-1 - 3 + 3) + (-4 + 2*u + 4)*(-2 + 1 + 3).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2763454, 7, 2, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (318\/(-1855))\/(2\/(-20)*-3)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10749, 42907, 96493, 171507?\n\"Answer: 10714*l**2 + 16*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 94, 142, 170, 172, 142?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d - d - 2*d)*(1 - 1 + d)*(19 + 27 - 9) in the form v + l*d + j*d**2 and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 36*v - 80.\nAnswer: 2*(v - 2)*(v + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 times -4?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -7. Suppose -5*g + 3*r + 3 = -6, f = -4*g + 5*r + 2. What is the remainder when g is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9*b**2 + 4*b - 9. Let y(z) = -z**2 - 1. Let g(s) = -r(s) + 4*y(s). Let c(x) = -3*x**2 - x + 1. Let n = -13629 - -13633. What is n*g(k) - 18*c(k)?\nAnswer: 2*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.99748 - 1.00252. Let w = 0.08 + -0.2. Sort 2\/13, p, -0.5, w in descending order.\nAnswer: 2\/13, w, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -67*d**4 - 437*d**3 - 502*d**2 - 155*d - 26. Let x(c) = 11*c**4 + 73*c**3 + 84*c**2 + 26*c + 4. Let n(b) = 39*x(b) + 6*z(b). Factor n(l).\nAnswer: 3*l*(l + 7)*(3*l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 7*i + 4. Let w be a(-8). Let q be 2\/w + 5250\/44. Let x = -119 + q. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191276 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -121*f**4 - 25*f**3*k - 961*f + 2*k + 9 wrt f?\nAnswer: -1452*f**2 - 150*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -557, -543, -529, -515?\n\"Answer: 14*c - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238382759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 - 83*k + 5040.\nAnswer: (k - 252)*(k - 80)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5504.05635978 + 16.\nAnswer: -5488.05635978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 + 15*x + 15. Suppose -5*g + 18 = 93. Let k(m) be the second derivative of -m**4\/12 + 2*m**3\/3 + 2*m**2 - 7286*m. Give g*k(h) + 4*d(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8*r**2 - 4*r + 196. Let w(k) = -8*k**2 + 4*k - 195. Let u(s) = 4*c(s) + 5*w(s). Find the first derivative of u(n) wrt n.\nAnswer: -16*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 22 + 25 + 4*w - 94 + 18 + 21. Determine q(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -45?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36873525.83300129 + -36873526. Let r = 1333 + -1333.167. Let f = n - r. Round f to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + 5*sqrt(1700) + sqrt(1700))*3 - ((sqrt(1700) - (sqrt(1700) + -3 + 4) - sqrt(1700)) + -1)*-1)**2.\nAnswer: 3400*sqrt(17) + 491400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 13*j**2 + 5*j + 5. Let x be r(13). Let z = x + -50. What is the highest common factor of z and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0466 + -0.1466. Which is the closest to u? (a) -19 (b) 1\/3 (c) 4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4582.285 kilometers?\nAnswer: 4582285000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 5:31 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-3) - (-16)\/12. Solve -3*m - m = 0, o = -3*d - 3*m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/66 and -67\/55?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1245 and 579755.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (57094*y**2 - 2 - 2*y + 1 - 57831*y**2)*(3*y + 0*y - y + (0 - 2 + 0)*(3*y - 3 + 3)) as v*y**3 + t*y + o*y**2 + g and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27594775 rounded to two dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 - -104. Solve -15 = -z + l*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -11 - (-4 + 5 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.69489 + 0.5?\nAnswer: 7.19489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13880724 and 1056.\nAnswer: 111045792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1180735 is divided by 272.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62 and 351109.\nAnswer: 21768758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 = 2*y - 2*r, -3002664*y + 3002659*y = -3*r - 265 for y.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 21.3783?\nAnswer: 406.1877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (408*u**2 + 3218*u**2 + 377*u**2)*(u + 2*u - 4*u) to j + n*u**2 + q*u + d*u**3 and give d.\nAnswer: -4003","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 20 + 218. Suppose -l - 34 = -3*y, 4*y - 14 = 3*y + 3*l. What is the highest common divisor of y and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**5 + t**5 + 0*t**5)*(-24 + 3 - 14).\nAnswer: -70*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -1. Let n(t) = -41*t - 406. Let k be n(-10). Put k, 1\/16, l, 3 in descending order.\nAnswer: k, 3, l, 1\/16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15481 minus 20726286?\nAnswer: -20741767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, x: 4, w: 7}. Give prob of picking 1 x and 1 f.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 10*h - 3*h + 3 + 20*h.\nAnswer: 29*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 11*u - 2. Let t be h(5). Let q be (3 + t\/(-28))*(-60)\/(-3). Which is the third biggest value? (a) -5 (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4962)\/(-3)*1 + -5. Let x = q + -1061. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547947?\nAnswer: 3, 107, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 o, and 1 m when three letters picked without replacement from {x: 6, m: 1, o: 7}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -770828, -770829, -770840, -770867, -770916?\nAnswer: -770993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*k + 20. Is k at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(3993) + sqrt(3993) + sqrt(3993) - sqrt(3993)) + -1*sqrt(297))\/(5*sqrt(12) - sqrt(9)\/(sqrt(9)\/sqrt(3))).\nAnswer: 19*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v + 5425520 = 132*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**5\/20 + 5*b**4\/12 - b**3\/2 - 2*b**2 + b. Let k be f(4). Let s be (-4)\/(-2) + 10\/(-2). Put s, 2, k in increasing order.\nAnswer: s, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7976 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g. Let k(d) = 6*d. Let y(b) = -b**2 + 9*b + 5. Let c be y(9). Let n(p) = 4*p. Let r(u) = c*k(u) - 8*n(u). Give r(f(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 688*w**2 - 6194*w - 4. Determine k(9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 a when three letters picked without replacement from {k: 1, a: 2, n: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 4918?\nAnswer: -4917.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 2*y + y**2 - 3 - 2*y**2 + 3 + 0*y + 2*y**2 + 0*y + (2 - 3 + 4)*(0 + 0 - 3*y**2))*(21*y + 13*y - 4*y) to p*y**3 + l + a*y**2 + m*y and give p.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1818279075 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**5\/11 - 34*g**4\/11 + 84*g**3\/11 - 74*g**2\/11 + 20*g\/11 = 0.\nAnswer: 0, 1\/2, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5\/313712?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 1530 - 774 + 6*w - 776)*(-2 + w**2 + 2) - 425*w - 36*w**4 + 425*w.\nAnswer: -37*w**4 + 6*w**3 - 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -93 in -2, 9\/7, 3, 4\/19, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/15 and 97\/33120990.\nAnswer: 33120990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 6 = -5*l, 4*o + 34*l = 36*l. Let m = 0.016 - -0.374. Let x = -0.01 - m. What is the smallest value in x, o, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 2785202 (c) -42\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-6 + 3)) + -11 + 5417 + -5417.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9958 + -0.1042. Which is the third biggest value? (a) 13 (b) m (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 - 7*x - 7. Suppose 0 = 4*v - 5*l + 4, 4 = -2*v + 2*l + 2. Let k be (-2 - ((2 - 6) + -2))*v. List the prime factors of z(k).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91703 + 91703 + 3*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 - 1 + 3)*(-2*j**2 - j**3 + 2*j**2) + 46*j - 46*j + 622*j**3)*(-1 - 6 + 5) to the form n + k*j**2 + p*j + m*j**3 and give m.\nAnswer: -1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 465 = -325. Let p(v) = v**2 - 4*v - 7. Let r be p(6). Suppose -r*m + 392 = -a. What is m rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2526 - -2528. Which is the nearest to -1\/4? (a) -4 (b) s (c) -23 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2)\/(25\/(-50))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -9*m + 43. Solve 2*o + 4 = m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35841 = y + 2*u, 100612 = 2*y - 5*u + 28993. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 6062256.\nAnswer: 6062256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10010011111001100 (base 2) to base 15\nAnswer: -17684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 7:37 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from {m: 6, b: 2, d: 5}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -579070 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29778259 by -7.\nAnswer: -4254037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*u + 2 - 7 = 0, 0 = -4*g + 4*u + 4. Let l be 8\/24 - ((-45)\/51)\/(-3). Is l not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + 0. Suppose 4*o - 29 - 7 = 0. What is the remainder when s is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -321, -1, -14 in descending order.\nAnswer: -1, -14, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 105*k**5 + 387*k**4 - 192*k**3 - 1512*k**2 - 912*k - 144 = 0. What is k?\nAnswer: -3, -2, -2\/5, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3021 and 0.097.\nAnswer: 293.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 f when three letters picked without replacement from cfqkfcqckfcf?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 22, 78, 166, 292, 462, 682, 958?\nAnswer: 1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((0 + 2*sqrt(80))**2 + sqrt(80) + 0 + sqrt(80) + (sqrt(80) + (sqrt(80) - sqrt(80)*-2))**2 + 0).\nAnswer: -4800 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/5 - 0)\/((-110)\/(-275)). Suppose -5*p + 241 = 2*r, n = -p + 4*r + 65. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19)\/627*25 - (56\/(-12))\/7. Which is the biggest value? (a) -53 (b) -62 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + c - 84 = 3*w, 0 = 5*c - 15. Let d = -46 + w. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.451 + 0.951. Sort 1\/4, -4.3, b, 4 in descending order.\nAnswer: 4, b, 1\/4, -4.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -2*m + 2*m**2 - 1\/3*m**3 + 1. Calculate the smallest common multiple of 5 and j(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 5)*(1 - 1 + 1)*(-c + 5*c - 3*c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*u - 85, 30 = 3*g - 0*u + 4*u. What is the highest common factor of g and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3738 = 224*s - 117*s + 160*s. Let t(q) = 4*q - 14. Give t(s).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -31. Suppose -11*r = -8*r - i. Let b(c) = -r*c + 15*c + 2*c**3 - 3*c**2 + 6*c**2. What is b(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 24. Suppose 280 = k + h*k. Suppose k = 9*y - 2*y. What is the highest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 17*z**2 - 18*z + 57. What is u(16)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -19 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 10 + 4)*(18*w**3 - 18 - 15*w**3 + 10).\nAnswer: 30*w**3 - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 (base 5) in base 16?\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88496, -177009, -265538, -354083, -442644, -531221, -619814?\nAnswer: -708423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 1. Let s be (-22 - -26) + 2\/(-1). Let n(x) = 1 + 12*x**s - 2*x + 0*x**2 - 14*x**2. Determine n(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 12 + -10 + 8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*a + 2*a**2 + 4*a + 0 + 0 to x*a**2 + u*a + k and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -136 + 138. Suppose 3*r - 374 = -2*k + 645, 0 = -p*k - 4. List the prime factors of r.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62 - 14224*l + 45 - 107 - 13222*l to x*l + z and give x.\nAnswer: -27446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**2\/2 - 8*q - 4957. Let u be 2\/7 - 116\/14. Give t(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 27099066.\nAnswer: 1\/13549533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 7:11 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 67 - (1755 + -1790)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11650049, 11650052, 11650055, 11650058?\nAnswer: 11650061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5 = 20. Suppose -w - 4*n + 16 = 0, w = -3*w - 2*n + 22. Sort f, w, -4 in decreasing order.\nAnswer: f, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -103, -0.4, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -156 - 4?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/3 - 2) + -2. Let v = 4 + x. Find the common denominator of v\/(-4)*642\/15 and 39\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 - 13103*j**2\/2 + 78591*j\/2 - 117873\/2.\nAnswer: (j - 13097)*(j - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14488 and 2048.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 292145571 to the power of 1\/2, to the nearest integer?\nAnswer: 17092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**2 + 20*m**2 - 8*m**2 - 10*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-7)\/(3\/(-36)*-16))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225253 and 160895?\nAnswer: 1126265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 468072 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230631708.\nAnswer: 2, 3, 59, 325751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4\/4 - 66951*u**3\/4 + 560220855*u**2\/2 + 1400870171*u + 1681164726 = 0.\nAnswer: -3, -2, 33478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 5\/7*s**7 + 0*s**6 + 0*s**2 + 7\/2*s**3 + 0 + 0*s**4 + 0*s**5 + 19*s. Find the second derivative of y(j) wrt j.\nAnswer: 600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 6:38 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + -55. What is the remainder when 69 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*c - 23496, 28*i + 5*c + 17614 = 31*i. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1036)\/(-28))\/((-1)\/(-17)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + -18. Let b be w\/(-28) - (-4)\/(-14). Is 3\/2 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -286*i. Let k(b) = -12*b. Let w(r) = -136*k(r) + 8*v(r). Let a(g) = 5*g. Calculate a(w(d)).\nAnswer: -3280*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 3*u - 2, -2291 = -3*v - 3*u - 2279 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -685 plus 400038.2506?\nAnswer: 399353.2506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + -4*((-5707)\/325 - -12).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -1. Let s(m) be the first derivative of 1102493*m**2\/2 + 28*m - 2627. Let q be s(o). Round q to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2403\/(-27) + 203718\/2280.\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 144.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10) - (-1319952)\/(-120). What is t rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -102715.\nAnswer: -4\/102715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3015 divide 28933360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 4*p - 75, p + 3473 - 3458 = c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2387388877 to the nearest integer?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + 45. Suppose 6 = -b*s + 55*s. Solve -6 = 4*v + s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (77\/(-11))\/(-42)*((-702)\/481)\/9?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -430.88 + 18.\nAnswer: -412.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-four fifths of a millennium?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06147 + 0.43853. Which is the closest to 23? (a) g (b) 7 (c) 5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/10 and (2*3\/9)\/(8\/33).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.6?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 6 + 4)*(5*q + q - 3*q) - 35*q - 51*q + 61*q as v*q + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 - 41*n - 32. Give b(14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 - 2*2\/2. Does 4 divide q*4\/(-24)*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53060208 divided by 3316263\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27561678*o**2 - 6*o + 885459329?\nAnswer: -55123356*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5259 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.538 - -0.038. Let f(k) = k**3 - 10*k**2 + 7*k + 4. Let b be f(9). What is the second smallest value in -5, y, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/34 and -95\/20738.\nAnswer: 352546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 7 = -23. Let c be ((-28)\/(-16))\/7*k. Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - 4*x + 2*x)*(2 + 3 - 3) - x + x + x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 257.4 (b) -5 (c) 5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2. Let j(z) = 1518*z - 2 - 1 - 293*z + 1 - 713*z. Determine j(i(o)).\nAnswer: 512*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 19. Suppose -m*c + 70 = 30. Let o = c + -3. Solve 12 = o*q - 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -14*f**2 - 17*f. Let v(a) = 5*a**2 + 6*a. Suppose 3*r - 3*m = 69, -97 = 4*r - 8*r + 5*m. Let n be (r\/8)\/(36\/96). What is n*i(u) + 17*v(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 59 + 2*z + 144 - 41 - 43.\nAnswer: 2*z - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2845 divided by -5\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 z, and 1 m when four letters picked without replacement from {z: 1, m: 1, j: 3, q: 2, p: 3, r: 3}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59528901 to the power of 1\/3, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19513 + -5595. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*h - 15, -5 = h - 2*v - v. Let f be (6\/4)\/3 + 2. Let z = -3.6 + 4. Which is the second biggest value? (a) f (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t - 3. Let c(s) = -s - 1. Let q(a) = -17*c(a) + 6*w(a). Let f(u) = 8*u + 7. Let o(j) = -3*f(j) - 21*q(j). Let g(b) = 3*b**2. Determine o(g(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*d + 4. Let s = d + 7. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*y + 14 = y, 4*y - 16 = 0. Suppose z*o = o - 167. Let d = o - -352. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-6)\/4*2). Let y be 42 - (-2 + s) - -1. What is the units digit of (-4)\/(-18) - (-215)\/y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 4*l**2 + 2*l - 4. Let h(v) = 9*v - 39. Let x be h(4). Give r(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let s(f) = f**2 + 5*f. Determine 3*h(t) - s(t).\nAnswer: -t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3\/2 (b) -27 (c) -2\/39 (d) 0.01 (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/(48\/9))\/((-7)\/504)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29667029 = -8*z + 22508971. What is z rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*k - 17 - 16 = 0, -3*k - 11 = -p. Calculate the remainder when 32 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1729.\nAnswer: 1724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 24 (c) -5 (d) 38 (e) 0.2159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.35 - 4.35. Sort -2, 0.4, h, -6 in ascending order.\nAnswer: -6, -2, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11259217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 85402 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-20*2\/(-96)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1378?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**2 - 13*j + 14*j - 35*j - 5*j - 39 wrt j.\nAnswer: 4*j - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6418145 and 6315.\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c**3 - 8*c**2 - 3*c. Let t(u) be the second derivative of 7*u**5\/20 - 7*u**4\/12 - u**3\/2 + 29*u - 1. What is 6*l(b) - 7*t(b)?\nAnswer: -b**3 + b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99 + 95 - 18*q + q)*(3 - 3 + 5*q**2).\nAnswer: -85*q**3 - 20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + sqrt(156)\/(1*sqrt(6)))\/(sqrt(8)\/sqrt(4)*-6) + (-6*sqrt(325) - (-2*sqrt(13)*2)**2) + -4.\nAnswer: -212 - 91*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 - 24*q - 22*q + 7*q - 2*q as g*q**2 + a + x*q and give x.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -63 + 1\/2*w**2 - 2*w. What is z(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -23*b. Let g(u) = -3*u + 190 - 190. Calculate s(g(z)).\nAnswer: 69*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4255 < 3346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 6. Let q be k(3). Solve -q = -2*i + 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5c05b (base 13) to base 10\nAnswer: -169245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d (base 14) to base 10.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.170671um?\nAnswer: 0.004170671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6072 - -3965. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2 - 3. Let q(h) = -h**2 + h + 1. Let g(w) = 2*w**3 - 4*w**2 + 2*w + 3. Calculate l*g(t) + 4*q(t).\nAnswer: -2*t**3 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10000111101111001001?\nAnswer: -10000111101111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*s + 4. Is 10 a factor of (-9)\/6*(s + -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.308 plus 2.354788?\nAnswer: 2.662788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 307542346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55921094?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -606, -1228, -1852, -2478, -3106, -3736?\n\"Answer: -v**2 - 619*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + w**2 - 2*w + 2. Let s be f(0). Suppose -s*v = -4*v. Let y be (6*1)\/(8\/4). Sort -2, y, v.\nAnswer: -2, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2579 + -0.25. Round z to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 779 and 1805?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*r**2 - 13 + 19*r**3 + 6 + 7 wrt r.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l - 132*l = 10*l - 148960. What is the remainder when l is divided by 117?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 1\/4027008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 154*m - 565. Let x be d(34). Which is smaller: x or 4672?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7248\/896 - (-6)\/(-16). Let f = 101\/14 - i. Put 1\/7, f, 26, 0.4 in decreasing order.\nAnswer: 26, 0.4, 1\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + -2*(0 + sqrt(176)))*-6*2)**2.\nAnswer: -82944*sqrt(11) + 3654720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 628\/(-176) + 3 + (48 - (-39220)\/(-814))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-912 + 916 - (-16 - (-5 - -2))) + -41\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 34\/68 - ((-182)\/(-36))\/7\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 6, 3\/4, 0.188?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -0.223?\nAnswer: -0.223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 1, -48, 0.16, 5?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 5. Let l(a) = -6*a - 4. Is 15 a factor of l(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 3*o**2 + 2*o - 6. Give x(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 12 = -20*h. Let x = h + 47. Suppose 3*a = -3, 2*j - x = -2*a - 3. Is 21 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/((-550)\/15))\/(2\/(-5))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413533404*q + 413533404*q - 3*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -29, -75, -159, -293, -489?\nAnswer: -759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29181)\/710 + 42)\/((-273)\/15 + -4)?\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 + 0.94. What is the closest to -0.1 in 2, u, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4073, 4071, 4067, 4061, 4053?\nAnswer: 4043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*y**5 - 14007*y**3 + 74844*y wrt y?\nAnswer: -100*y**3 - 84042*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350183266.\nAnswer: 2, 175091633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppqqgpqvqggvgvgqqgg. Give prob of picking 2 p and 2 q.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*q**5 - 36*q**3*w + q**2*w - q*w - 50*q wrt q?\nAnswer: -2520*q**2 - 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (26733\/3402 + (-35)\/(-210))?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(6*2)\/(-2). Let q be 34\/8 - 4\/16. Let p = l - q. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-53)\/(-106))\/((-2)\/6)*-178 is divided by (-8 - (2 - 7)) + (-70)\/(-1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 - ((19 - 9) + -18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a tonne in kilograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + n**2 + 2*n**4 + (27*n**4 - n**2 - 21*n + 4*n**2 - 28*n**4)*(1 + 1 - 1).\nAnswer: n**4 + 3*n**2 - 21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1 + 14.1. Let f = -16 + s. Let o be (-9)\/((-207)\/44) + -2. What is the biggest value in f, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -40*r + 3. Let l be j(-4). Let p = l + -91. Suppose -x = -5*x + p. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.842747 years to centuries.\nAnswer: 0.05842747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*j**3 + 20767*j + 71*j**2 + 2 + 6*j**3 - 20769*j + (2*j - 2*j + j)*(-j**2 + 4*j**2 - j**2) as t*j**3 + r*j**2 + m*j + z and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*(-5264)\/3666*3\/(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/2 - (0 - -10). Which is greater: n or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3420 and 2052.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262705570 is divided by 533.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 630 + -377. What are the prime factors of p?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 2:37 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + p. Let q(j) = -8*j**2 - 9*j. Let d(v) = 28*n(v) + 4*q(v). Let d(o) = 0. What is o?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*d - 2 = -74*d - 4*w, -w = 5*d - 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - 3 - 358\/(-89). Let i = 99\/445 - b. What is the closest to i in -1\/3, 3\/4, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 9047497782909.\nAnswer: 9047497782908.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7653 + 5?\nAnswer: -764c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-9858417)\/(-21) + (-15)\/35 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1596*q - 2 - 4627*q + 1601*q + 1435*q + 2.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qolellqelooyllyeelq. What is prob of sequence lqy?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31040.92 millennia to months.\nAnswer: 372491040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19760023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.878 + 0.048. Let l = 654.73 + -655.56037. Let p = l - k. What is p rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7957 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**2 + 4. Let w(f) = 6*f**2 + 3. What is 6*h(g) - 7*w(g)?\nAnswer: -6*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 192666.\nAnswer: 2119326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 20*w - 82, 8132*w = 3*b + 8136*w + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, f: 3}. Give prob of sequence aafa.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 37*c - 36*c - 20, -6*d - d - 136 = -5*c for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 138400 to the power of 1\/2, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9\/5 + -13\/10. What is the closest to r in -2, -1\/7, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from sbkkckbksklkkkkk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -650161 divided by 3?\nAnswer: -650161\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*f + 12. Suppose 37 = f*x + 2. Suppose -4*l + l = -39. What is the remainder when l is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + (sqrt(98)*1 - sqrt(98) - sqrt(98))\/sqrt(7))\/(-1*sqrt(18)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**3\/6 + 5*u**2\/2 - 12*u. Calculate c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2033 is divided by 107.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 88c2d (base 14) to base 9\nAnswer: 554865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(200) - sqrt(18)*-6))**2.\nAnswer: 56*sqrt(2) + 1569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 8*o**2 - 3*o. Let d(c) = -145*c**2 + 55*c. What is -6*d(g) - 110*t(g)?\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -18. Let d = -13 - -12.1. Which is the second smallest value? (a) d (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (13 + -4) - (-620)\/120. Suppose -1\/6*m**4 - 1\/3*m + 1\/3*m**3 + 0 + s*m**2 = 0. Calculate m.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -79.3, -2\/11, -0.37, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - w + 80 = -5*w, 3*p - 3*w - 114 = 0. Let t(r) = -3 + p*r + 3 - 1. Is t(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from cxxcxxx?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 + 85. Let f(y) be the second derivative of -1\/2*y**3 - b*y + 0*y**2 + 0 - 5\/12*y**4. What is the second derivative of f(k) wrt k?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + z + 6. Suppose 0 = f - 2*j + 6, -3*j = -z - 9. Suppose -2*u - 4 = 4*o, o - f*u = 7 + 10. Which is bigger: o or 1\/18?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384829?\nAnswer: 17, 22637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/189)\/((-2)\/(-28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2 + k + 6*k**2)*(0*k + 0*k - 2*k**2).\nAnswer: -12*k**4 - 2*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 2*k**2 + 9*k + 6. Let f be c(-4). Suppose t = 4*t + 5*o - 31, -6 = f*t - 2*o. Solve 4*x - 3 = g - 2, t*g + 4*x + 2 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 5*h**2 - 31*h - 103. What is the remainder when i(-3) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 45\/((32\/(-80))\/((-4)\/(-15))). Let g(q) = -2*q - 4. Let s be g(5). Let t = s - h. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 30 = -2*u, 4*u - 52 - 8 = 4*q. Solve -3*m - 2*m + u = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 639\/7 - 91. Let o = 0.05 + -4.05. Let r = -857\/4 - -215. Which is the third biggest value? (a) r (b) o (c) 1\/3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2))**(1\/7)\/(w\/w**1*w)**45 assuming w is positive.\nAnswer: w**(-316\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**2*i**2*v - f**2*i*v - 5*f**2*v + 563*i**2*v wrt f?\nAnswer: -4*f*i**2*v - 2*f*i*v - 10*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 154 + -76. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z - 4*z - 4*z. Let y be (-6)\/(-24) + 9\/(-4). Let r(s) = 3*s. Let w be (2\/(-3))\/((-10)\/(-105)). Give w*r(f) + y*h(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f - 44. Let o be i(15). Let x(p) = 3*p**3 - 50*p**2 + 39*p + 12. Calculate the lowest common multiple of x(o) and 10.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 3. What are the prime factors of q(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-622.\nAnswer: -186.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/2, 3789, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 36*r**3 - 7*r**2 - 2*r + 5. Suppose -4*d = -14*d + 30. What is the units digit of n(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*t + 17. What is the remainder when 114 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z. Let g(p) = -3*p**2 - 1. Calculate g(k(i)).\nAnswer: -48*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okj when three letters picked without replacement from {q: 4, e: 2, k: 4, j: 2, r: 1, o: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 9 = -11*p, -18*d = -21*d - 5*p - 121 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7\/o)\/o**(3\/8)*(o\/((o**(-2\/5)\/o)\/o))\/o**(-5)*(o**0\/(o*o\/(o*o**(-4\/5)*o)))\/(o**(-4)\/(o**(-2\/7)*o)) assuming o is positive.\nAnswer: o**(5023\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166800.\nAnswer: 2, 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102959.\nAnswer: 149, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6841+-101\nAnswer: -6942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n + 4. Let c be b(2). Let f = c - -10. Calculate the remainder when 30 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46725*k**4*o + 2*k**3 - 76*k**2*o - k**2 + 657*k wrt k?\nAnswer: 1121400*k*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, -0.2, -6, -1, 3\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + v + 1. Let m(b) = -53*b**4 - 2*b**3 - 2*b - 70. Let f(k) = m(k) + 2*u(k). Differentiate f(j) wrt j.\nAnswer: -212*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-855)\/(-2)*(-744)\/(-5580).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -96748505, -193497012, -290245519?\n\"Answer: -96748507*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w**3 - 1. Let j(v) = -v**3 - 15*v**2 - 11*v + 121. Let k be j(-10). Let q = k - -270. What is u(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 358 - 358.614. Let t = q + -0.032. Round t to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2430 (base 5) to base 13\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*v - 12*k + 14*k - 62, -5*v - k = -25 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, v: 5}. What is prob of sequence jv?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4054015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 68576.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = r + 7*r. Suppose 0 = -6*w + r + 12. Find d, given that 15*d**4 - 96*d - d**5 + 12*d**3 + 37*d**2 + w*d**5 + 14*d**2 - 48 - 99*d**2 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16831198 at least 16831196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/(-2)*40\/60. Is n at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 77 - 3*b + 32 - 2*b**2 to m*b**2 + a*b + u and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/(2\/(-32)). Suppose 0 = -5*d + 10. Suppose -2*y = d - 14. Solve y*q - r = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 - 83*o - 2. Let x(i) = -5*i**2 - 248*i - 7. What is -7*v(m) + 2*x(m)?\nAnswer: 4*m**2 + 85*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1651 + -867. Suppose 0 = 3*l + 56*p - 61*p - 1150, 2*l = -p + b. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -5, 1 in increasing order.\nAnswer: -25, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2222 - -9.2222. What is the closest to c in 5, 3, 0.2, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(1*sqrt(54) + sqrt(6))*2)\/((sqrt(160)*-2 - sqrt(10)) + 3*sqrt(10)*-5).\nAnswer: -sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -9*p + 13. Let c be t(-5). Let o = -53 + c. Suppose 5277 = o*z - 2*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*h - 110. What is h rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89 - 596*d**5 + d + 800*d**5 - 854*d**5 wrt d.\nAnswer: -13000*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v**2. Let z = 5706 + -5702. Let j(s) be the third derivative of 0 + 0*s**3 + z*s**2 + 0*s**4 + 0*s - 1\/12*s**5. Calculate j(o(h)).\nAnswer: -125*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5873.\nAnswer: 7, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*h + 726 + 47*h + 113*h - 26*h.\nAnswer: 167*h + 726","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -825.5222 to the nearest integer.\nAnswer: -826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8103 - -413318\/51. Calculate the common denominator of q and -79\/51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) + (-75)\/(-45). Is (0 + 477\/12)\/(d\/8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 1. Let v be s(3). Let k(m) = 5*m**v + 3*m**2 - m**3 + 6 - 4*m - 4*m. Let d be k(7). Let q(n) = 4*n**2 - n. What is q(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5000 and 18560?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0726635277 rounded to four decimal places?\nAnswer: 0.0727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*g = 3*d - 283 - 91, d + 2*g = -13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i + 9*i**2 + 4*i + 7*i - 16*i.\nAnswer: 3*i*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 13*i**2 + 89*i + 364. Let h be c(-4). Sort -1, h, -2\/7 in descending order.\nAnswer: h, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -1) + (41 - 1). Suppose -3*x = -0*x - f. Suppose -y + 14 = 4*m - 3*y, -m = -4*y + x. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t + 15*t**2 - 51*t**6 + 7 - 7 wrt t.\nAnswer: -6120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000143 to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2038 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - 6) + 53 + -9\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 40\/(-5) + 3584648\/80 - (-2)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 4:53 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7654.6 rounded to the nearest 100?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12 and 0.075915?\nAnswer: 11.924085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -498175*c**2 - 4 - 10 + 498179*c**2 + 0 + 5 - 10.\nAnswer: 4*c**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-6))\/((-4)\/(-18)). Suppose -3*c + j + f*j = -432, c + j - 137 = 0. Suppose -5*s + 380 - c = 0. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37649 rounded to three decimal places?\nAnswer: -0.376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*4\/300)\/((-4)\/(-10)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 250 + 17. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21904 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0\/(w\/(w**4\/w)))\/(((w\/w**0)\/w*w)\/(w\/w**0)))\/((w**1)**(-29)\/(w\/w**1)**(2\/11)) assuming w is positive.\nAnswer: w**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5*f + 11 = -4*y, -5 = 3*y + f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211011 (base 3) in base 10?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-18))\/(f*f**(-11)\/f*f)*(f**(-3)*f)\/f*f\/(f**(-4\/11)\/f*f) assuming f is positive.\nAnswer: f**(312\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6)\/h*h)\/h*h*h\/(h**3*h*h*h))**(9\/2) assuming h is positive.\nAnswer: h**(-99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 + 93\/4. Let v = z + 7. Let j be (v\/(-12))\/(1\/2). Which is the biggest value? (a) 4 (b) 2\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6366 and 270.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -4, 2, 14, 32, 56, 86?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (-60)\/16 - -7. Let p = 5 - 7. Let d be (-1 - -1)*p\/4. Which is greater: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/5 - 13565703*u - 135657034\/5 = 0. What is u?\nAnswer: -2, 67828517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 4:34 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 2)\/((-3)\/2). Suppose 0 = i*v - 6, 4*y - 13 = -3*v. Which is the closest to -1? (a) 0.5 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 694*p - 31*p + 4743 = 699 + 66 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.8592 - -5.88. What is g rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 2*o + o)*(2 - 3*o - 2)*(-3 + 3 + 3).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -310137.829426 from 32.\nAnswer: 310169.829426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvtvvwvvvvtttvrvr. What is prob of sequence rrvt?\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 + -5 + (58 - 76)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**4 - z**3 + 5*z**2 + 0*z**3 - 4*z**4 - 21*z + 4*z**4 + 2*z**4 as x + p*z**3 + g*z**4 + s*z + c*z**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from xaaadaaaaaa?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -c + 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5)\/c**(7\/4) assuming c is positive.\nAnswer: c**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, d: 2, y: 4, z: 3, g: 4}. What is prob of picking 1 z, 2 d, and 1 y?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(3) + -5 - (-5 + 0 + sqrt(3)))**2.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2271566 to the power of 1\/2, to the nearest integer?\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 508 a factor of 40401748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (0 - 14 - -12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 353304752 to the power of 1\/2, to the nearest integer?\nAnswer: 18796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 656*c**2 - 2*c**3 - 4178347*c + 0*c**3 + 4178346*c as t*c**2 + u + s*c**3 + q*c and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4433 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + (74 - 78 - (-13 + -1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3195485 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658668?\nAnswer: 2, 3, 131, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + g = -6. Factor -12 - 20*x**2 + 12*x + 11*x**2 + 6*x**g.\nAnswer: -3*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 1200?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, d: 1, t: 1, o: 1, e: 2}. What is prob of sequence et?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**3*z**2 - 2*t**3*z + 41*t**3 - 109002*t**2*z**2 wrt t.\nAnswer: -6*z**2 - 12*z + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -3 - -1)*134\/(-3). Let j = -132 - z. Suppose j*d = -89 + 567. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10477 + -8866. What is the closest to o in 3, 3\/5, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 11*p + 18. Let y be o(-8). Let z be y\/(-42) + ((-62)\/42 - -1). Which is the closest to -2? (a) z (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 17*z. Let n be (-4)\/22 - 136\/(-22). Let t(r) = 8*r. Give n*x(s) - 13*t(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146 a factor of 224592294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*h + 3*h - 17*h to a*h + m and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509*w - 546*w + 2452*w - 663*w - 574*w.\nAnswer: 160*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0729526262 and -3?\nAnswer: -0.2188578786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 6:18 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -289.3 + 37.3. Let p = -240 - r. What is the biggest value in -7, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1013, 1964, 2925, 3902, 4901, 5928, 6989?\n\"Answer: w**3 - w**2 + 947*w + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(80) - sqrt(80))**2*-3 + sqrt(80).\nAnswer: -1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25143598 to the power of 1\/2, to the nearest integer?\nAnswer: 5014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.2 (b) -2.6 (c) 0 (d) -3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15090, -5, -35 in descending order.\nAnswer: -5, -35, -15090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.0335905354 * -0.2\nAnswer: 0.00671810708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 166237 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*3254452\nAnswer: 65089.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15140929.\nAnswer: 19, 29, 27479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1044 and -35\/216.\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k = -916. Suppose -35 = -h + 3*a - 0, -90 = -4*h + 2*a. What is the remainder when (-6)\/(-9) + k\/(-3) is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 8*h - 7. What is p(10)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2389 - 2385.6. Which is the third biggest value? (a) 1.4 (b) 4 (c) u (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*c - 2269, -3*v = 2*c + 2*c + 1703. Let l = -5161449094\/109 - -47353305. Let u = v + l. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s + 31*s - 570 = -36*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 2, 4, 71 in descending order.\nAnswer: 71, 6, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.4478415 grams?\nAnswer: 0.0000004478415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15819038.\nAnswer: 2, 89, 181, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 5:50 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -436 + 306. Let f = -129 - j. Calculate the remainder when 24 is divided by -13 + 23 - 1\/f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 5) to base 3\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 9*d**2. Let l(t) = -9*t**2. Let q(j) = 16*j**2. Let n(a) = -10*l(a) - 6*q(a). What is n(r(g))?\nAnswer: -486*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x - 114. Let s be g(46). Calculate the greatest common divisor of s and 3288.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*p - 24. Let i be -32*(2 + -7 + 3). Calculate the highest common divisor of i and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 + 5*q**2 - 3*q**2 + (450*q - 850*q + 529*q)*(2*q + 0*q - 4*q).\nAnswer: -256*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z**3 + 36*z**3 - 6*z**2 - 13*z**3 - 14*z**3 to b*z + h*z**2 + c*z**3 + o and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -a + m, -6*a - 4 = -7*a + 4*m. Suppose -30 = -j - a*j. Suppose 9*p - 2 = -2*o + 4*p, -4*o + 3*p + j = 0. Solve f = 4*f - o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95255.\nAnswer: 5, 19051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001 - -1111100110110100111?\nAnswer: 1111100110111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**4\/12 + 8468*h. Let z(j) = -j**2 - 3534*j + 2. What is z(k(a))?\nAnswer: -a**4 - 3534*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/1143054 and -139\/2783088?\nAnswer: 64011024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2. Let z(u) be the first derivative of 2 + 0*u - 1\/2*u**2. Calculate a(z(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158127*z**2 + z - 158114*z**2 - 4*z + 3*z - 12*z**3.\nAnswer: -12*z**3 + 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 676*m**3 - 113592*m**2 + 4706288*m - 166944 = 0. Calculate m.\nAnswer: 6\/169, 74, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4814*p**2 + 165*p + 2. Let h(g) = 67396*g**2 + 2306*g + 26. Let y(v) = -6*h(v) + 82*k(v). Find the second derivative of y(u) wrt u.\nAnswer: -19256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 20*a + 115. Give m(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/14464 and 93\/896?\nAnswer: 101248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 351 and 0.101.\nAnswer: 35.451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**3 + 8*n**2 - 6*n + 3. Let v(q) = 16*q**3 + 41*q**2 - 30*q + 15. Let x(z) = 11*d(z) - 2*v(z). Is x(-5) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -19.5. Let u be (6\/4)\/(-3)*4\/6. Which is the fourth smallest value? (a) u (b) r (c) 5 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 2:18 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 96*q + 116*q + 89*q + q**2 - 2.\nAnswer: q**2 + 109*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16480, 33082, 49682, 66280?\n\"Answer: -r**2 + 16605*r - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 0. Let m(y) = y + 20*y**2 - y + 14*y**3 - 5*y. Let a(v) = -5*v**3 - 7*v**2 + 2*v. Let f(b) = 17*a(b) + 6*m(b). What is f(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69654 divided by 11609\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2387588 and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 2*s - s + 2*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1320 and 445170.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -224\/3 + 74. Let s = 2 - 5. Let m = 36394 - 36390. Sort h, m, s in ascending order.\nAnswer: s, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 g when four letters picked without replacement from {f: 8, g: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38895136 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 + 73. Suppose -5*k - 3 = u*o + 5, 3*k + 10 = 4*o. Solve g = -0*g + o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -4. Suppose i*w = 2*w - 82. Let l = 79 + w. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 438 divide 1727952476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5402 + -110?\nAnswer: -5512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162773 = -26*g + 39*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 + 2.1. Is y at most as big as 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 67. Let v = f - 48. Which is smaller: v or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -27*w**2 + 4*w + 4. Let j(a) = -74*a**2 + 11*a + 11. Let x(t) = -4*j(t) + 11*p(t). Let k(q) = -1007*q. Give x(k(r)).\nAnswer: -1014049*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/3))**(-31)*c**3*c\/(c**(-4)*c) assuming c is positive.\nAnswer: c**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13108536 and 63.\nAnswer: 13108536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 6\/(-2) - -25. Suppose -2*f + 0*f = -a. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4. Suppose h = m - 7, z = -0*h + h + 5. What is the units digit of (3\/m + -2)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -63. Solve 2 = 2*t - u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -334.25 - -2\nAnswer: -332.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/4 - 45\/(-12). Suppose 0 = -7*o + t*o. Let m be 3\/12 - (-3)\/4. Solve o = z - 3*c - m, z + 2*c = c - 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 5*m - 3. Let j be d(4). Let y be ((-4)\/8)\/(j\/(-2)). Let a = -6 + 9. Which is greater: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-726)\/(-55))\/((-2)\/(-10)). Let y = 131 - w. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*f*u**2 - 17*f*u + f + 15*u**2 wrt u?\nAnswer: 12*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -2178\nAnswer: -19\/2178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9ba3de (base 15) in base 6?\nAnswer: -423055032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2608 divided by 163\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**3 + z**2\/2 + 4*z - 58. Determine u(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s - 4. Let r(v) be the first derivative of -7*v**2\/2 + 5*v + 8. Give 6*j(i) + 5*r(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 15 = -2*c - t, 4*t = -3*c + 65. Calculate the remainder when c is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44\/3*g**3 + 16*g**2 - 28\/3*g**5 - 16*g**4 - 16\/3*g + 0 = 0.\nAnswer: -2, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66.35 + 71.35. Which is the second biggest value? (a) -58 (b) -3\/5 (c) 4\/3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29942906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 11889634 - 12330054. Suppose -5*q - 22554922 = -i. What is q rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/4)\/((-18)\/48) + 9. Solve -s*w - 7*w = 50 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1107 + -768?\nAnswer: -1875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxi when three letters picked without replacement from ikkixilkiiiilxx?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y = 22*y - 16. Solve u - 11 = 3*k, 11 = k - 0*k - y*u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266926849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, 127, 0.1, 3\/8, 2082?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 11 (b) 1.1 (c) 27 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 163*j**3 + 5 - 3 - 162*j**3 - 3*j**2 to g*j + b*j**2 + v + k*j**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2225, -4450, -6675, -8900?\nAnswer: -11125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*n = -84*n + 8, 3*b + 5*n + 104 = 36 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/63*6\/(-28).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-16))\/3 + 266\/(-8). Let i = 25 - o. 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: Calculate 0 divided by -199646.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Put -17, s, 4 in ascending order.\nAnswer: -17, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 1\/3 (b) -1.16 (c) -0.4 (d) 4 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -2080.36129.\nAnswer: -2077.36129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 1) + 43 - (-4 - -6). Suppose 8 = 45*v - x*v. Solve -2*d + 5*i - 21 = 0, -5*d = 2*i - 16 - v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 208*y**2 + 29. Let g(w) = 6*w. Give g(u(h)).\nAnswer: 1248*h**2 + 174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2170405651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*12.9.\nAnswer: -0.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 64257?\nAnswer: -64257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 19. Let d = z - 7. What is the second biggest value in 0, -1, d, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*t - 3*p = 80*t - 8, 2*p = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 5*t**2 + 3*t + 1. Give q(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 4. Let x be u(4). Suppose x*p = p - 16. Suppose 474*a - 4120 = 620. Calculate the smallest common multiple of p and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 8, -3\/4, 4, 0.3, 4\/3 in descending order.\nAnswer: 8, 4, 4\/3, 0.3, -2\/17, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101200002 - 20211?\nAnswer: -101220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (412\/(-8))\/((-3980)\/568 - -7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.1 - 4.6. Which is the closest to -0.5? (a) f (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46282016\/616 - 2\/(14*1) 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 34788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 4:15 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55777781?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/9888 and 137\/12.\nAnswer: 9888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011 + -2022002000111211?\nAnswer: -2022002000112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 7:54 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + 27. Let l be -4*12\/3 - 4. Let m be (-2)\/(-2) + s\/l. Which is the nearest to 3\/4? (a) -4 (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from {q: 2, b: 4, a: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/22*(6\/18)\/(5\/(-100))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(12) + -4)*4.\nAnswer: -4 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 = -14*c - 4*c + 289. Put 0, -9, -5, c, -393 in decreasing order.\nAnswer: c, 0, -5, -9, -393","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125 + -127. Is 40 a factor of r + (4 + -3)\/((-1)\/(-51))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 917*o - 2. Let x(l) = -3667*l + 8. Let t(f) = -9*u(f) - 2*x(f). Let k be t(-2). What is k rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 3135834*r**2 - 6271677*r + 3135840.\nAnswer: 3*(r - 1)**2*(r + 1045280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 - d - 1. Suppose k - 4*k = 4*s + 4, -4*k = 0. Let g be x(s). Is (92\/16)\/(g\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 528582 (base 9) to base 10.\nAnswer: 314678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 23*u - 26*u = 25630, 4*u + 16 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t - 36*t - 83*p + 288 = 0, -5*p = -3*t - 54 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7684, 28729, 63812, 112933, 176092?\nAnswer: 253289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-15)\/20)\/((-8)\/128))*-42\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 - 8*t**3 - 3*t**3)*(7*t - 58*t - 36*t) + 4*t**2 + 3*t**4 + 2*t**4 - 6*t**4.\nAnswer: 1043*t**4 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 6 = -4*s, -p + 10 = 2*s - 0. Suppose -p*l + 7 = 1. Solve 0 = l*y + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -90 (b) 6\/5 (c) -2 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 8*p**2 - 18*p + 38. Let m be r(6). Factor 3\/8*d**3 - 3\/4*d + 0 + 3\/8*d**m.\nAnswer: 3*d*(d - 1)*(d + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 s when three letters picked without replacement from {a: 1, c: 1, p: 1, m: 3, s: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 1558*l - 377524.\nAnswer: 2*(l - 194)*(l + 973)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -777147*f*u + 10*f + 3*u - 125760 wrt u.\nAnswer: -777147*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 4*u)*(7*u**2 - 2*u**2 - 2*u**2)*(-3 + 3 + 4)*((-2 - 1 + 1)*(2 + 0 - 3) + 0 + 3 - 2).\nAnswer: -144*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-36)\/30)\/(10\/(-2225)). Let h = -269 + a. Is 12 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**2 + 4 + 15*d**2 - 4 as q + i*d**2 + v*d and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -538, -1079, -1626, -2179?\n\"Answer: -3*o**2 - 532*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25610 - -25937. What is the smallest common multiple of f and 18?\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/25*(-7)\/(28\/(-10))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 5*m + 5*a - 97, 7 = 3*m - 5*a. Let g(d) be the first derivative of -d**2 + 2*d - 1. Let i be g(m). Solve -8 = 4*v, -5*o + 3 - 11 = i*v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 2*g**2 - 16*g - 25. Let f be m(-4). Solve -2*i - 25 = -f*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 29, -0.3, -4\/9, 3 in ascending order.\nAnswer: -3\/4, -4\/9, -0.3, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 234 - 142. What is the greatest common divisor of 2116 and d?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 9*g**2 - 7*g - 4. Let k be o(8). Factor -2*s**3 - 6*s**2 + 104 - 104 - k*s.\nAnswer: -2*s*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q + 63 = -28*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5573611481486 - 0.1\nAnswer: 5573611481485.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24921 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4900.522mm to nanometers.\nAnswer: 4900522000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 1. Calculate o(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -20.5. What is the closest to 2 in 0.1, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3993, -4002, -4011, -4014, -4005, -3978, -3927?\n\"Answer: f**3 - 6*f**2 + 2*f - 3990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.553831 + -1.5616. Round x to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8*(180\/48)\/15. Sort -4, -2, x, 79 in increasing order.\nAnswer: -4, -2, x, 79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - 0. Let m be (-3)\/(-2)*(-28)\/t. Solve 0 = m*v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*s = 3694, h - 534 = 4*s + 1335. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5197\/885 + -1\/177. Find the common denominator of 2 + 0 - 50*(-26)\/585 and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**4 + 3*s**4 - 4*s**4 + (8915*s + 47 - 8919*s + 101)*(-2*s**3 + 0*s**3 + 10*s**3) in the form j*s + k*s**2 + z*s**3 + o + c*s**4 and give z.\nAnswer: 1184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -184545840 by 15.\nAnswer: -12303056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.0251 - 44931.85\nAnswer: -44931.8751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 5*c**2 + c + 3. Suppose -3*s + 385 - 400 = 0. Determine z(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 228.3*28\nAnswer: 6392.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141056, 140692, 139704, 137780, 134608?\nAnswer: 129876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 18. Suppose 3*n = h*n - 5. What is the greatest common divisor of 11 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x - 2209 = -24*x. Is x a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6. Let x be (-6)\/33*(-1 - m). Let o = 0.4 + -0.8. What is the second biggest value in x, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -70891\nAnswer: 12\/70891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406\/10 - (-2)\/5.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 1:00 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1947.5? (a) 7 (b) 1\/4 (c) 1\/2 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 23 = -5*o + 3, 3*w - 15 = 3*o. Suppose w*j - i - 100 = -15, 85 = 5*j + 2*i. Is 16 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1949 is divided by 482.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (192 - 183) + (7 - -1) - (1 - -33).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 2.39, 127, 5?\nAnswer: 2.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(114)*-6 + sqrt(114))\/(-1*sqrt(294) + sqrt(6)) + -5 + (sqrt(475) + -1)*2)**2.\nAnswer: -455*sqrt(19)\/3 + 82039\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 184.86.\nAnswer: -178.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1797317\nAnswer: 359463.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116740.\nAnswer: 2, 5, 13, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6*(-10)\/(240\/(-54)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22)\/(-33)*(-3)\/2. Let k be (-2 - (-4 - -4))\/m. Let x(c) = c**3 + 2*c**2 + 2. Calculate x(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 - -105. Let s(y) = y + 9. Let w be s(-10). Calculate the remainder when m is divided by ((-6 - 2) + -3)*w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -1. Let u be 8\/y - (-10)\/12. Let l = -23\/5 - -97\/20. Which is the nearest to -0.2? (a) l (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5047724672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 5192*b + 10383*b - 5201*b.\nAnswer: -10*b + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (sqrt(1728)*2 + sqrt(1728)) - sqrt(12))\/(sqrt(4) + (sqrt(288)\/sqrt(6))\/sqrt(12)) + 5*(sqrt(18)\/sqrt(6) + 4)*3.\nAnswer: -3*sqrt(3) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -39 + -1 + (-7 - -27)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + k - 517 + 532 = 0, -2*z - 33 = -5*k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.51957 years in decades?\nAnswer: 9.651957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5062991527 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56e09 (base 16) to base 2.\nAnswer: -1010110111000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.4 - 3. Let d(h) = -h**2 + h + 552. Let q be d(-23). What is the second biggest value in b, 38, -3, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(832) + 1)*-2 + 3)*2)**2.\nAnswer: -128*sqrt(13) + 13315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 15*i**2 + 13*i - 14. Suppose -5*f = j - 5*j + 50, 0 = 2*f + 3*j + 43. Let m be r(f). Which is bigger: -0.03 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 994.4762ug in milligrams?\nAnswer: 0.9944762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5769596263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - k = 11, 4*w = -2*k + 2 - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34.7 + -68.7. Let b = -34 - s. What is the closest to 1\/3 in -0.02, b, 3\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*a - 312*a + 662*a - 2*a**2 + 7*a**2 - 218*a.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7008043*h**4 - 1770972 with respect to h.\nAnswer: -28032172*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2\/5 - 26*q\/5 + 12 = 0. Calculate q.\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 2)*104\/24. Suppose -b*u = 11*u - 120. Solve -u*f + 12*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -12, 4 in descending order.\nAnswer: 16, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6157.09921122 - -6157.1. Round g to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*-4*2\/(-16). Suppose -5*l = 5*d - 50, 3*d - l - 21 = -g. Calculate the smallest common multiple of 11 and d.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**5 + 283265*z**4 - 3964975*z**3 + 13876555*z**2 = 0.\nAnswer: 0, 7, 56639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -199 - -417. Is -11 + 6 + 6 - -2*v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -218 + 332. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (13 - 15) + -4 + -11 - 29?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155*t**6 + 9*t**4 + 2*t**3 + 2*t**2 - 180*t + 2.\nAnswer: -18600*t**3 + 216*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/4*48\/(-40).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090218603?\nAnswer: 3, 43, 1871, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16083*i**2*m**4 - 816*i**2 + 2*i*m**2 + 38530*i - 1915*m with respect to m.\nAnswer: 64332*i**2*m**3 + 4*i*m - 1915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 44.5. Let b = t + 7. Let j = 3.2 - 3. Put b, -2\/7, j in decreasing order.\nAnswer: j, -2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-21) + 5\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 103032120 (base 4) to base 6\nAnswer: 1404320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131.27 - 123.628. What is r rounded to 1 decimal place?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*g - 22 = 0, -c + 5*g - 13 = -45. Suppose -c = -4*d + 49. Let a(j) = -2*j + 28. Let w be a(d). Solve w = 2*q - 1 - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 9:50 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 4, 3*c - 2526 = -3*h + 177. Calculate the remainder when c is divided by 181.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 499507, 999133, 1498757, 1998379, 2497999?\n\"Answer: -t**2 + 499629*t - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 7:41 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (382 - 382 - 22*g + (4*g - 2*g + 0*g)*(-2 + 6 - 3) + 0 + g + 0)*(4*g + 1 - 1)*(26*g - 8*g - 12*g) to n*g**3 + v + b*g + i*g**2 and give n.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.12 - -5.88. Let o = y - 5.8. What is the nearest to 1 in -4\/7, 3\/4, o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 1:15 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.1 + 13.1. What is the fourth biggest value in -1, 1, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 1\/140*q**6 + 11\/21*q**3 + 89*q**2 + 0*q - 11\/210*q**5 - 1\/28*q**4 + 0. Factor j(a).\nAnswer: 2*(a - 1)*(a + 1)*(3*a - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3 - 3. Let g(i) = -7*i - 21. What are the prime factors of g(w)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.04 (c) 364\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -569318076 divided by 142329519?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13227336 and 140540445?\nAnswer: 1124323560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*u + 45. What is the remainder when 29 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -28, 181 in decreasing order.\nAnswer: 181, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112122211100000 - -10?\nAnswer: -112122211022220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-512820)\/55)\/(-36))\/((-140)\/(-60))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = -30. Suppose 0 = -0*v - v + 5. Let s = g + v. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1711 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10416 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: Which is the closest to 0.2? (a) 4 (b) -1.1 (c) 2\/43 (d) 5 (e) -4 (f) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l + l**2 + 280 - 143 - 133. What is i(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 0, -4.\nAnswer: -61, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 186 divided by 2\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**2))\/(r\/(r\/r**(2\/7))))\/(r**2)**(-9))**(-1\/75) assuming r is positive.\nAnswer: r**(-46\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000058817 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c - 14050 = 9*c. Is 36 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.7594 - -2.1294. Which is bigger: 12 or r?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -751 divided by -6.\nAnswer: 751\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z + 2*z**2 - 2*z**2 + 3 - 3 + (0*z - z**2 + 0*z)*(2 + 0 - 3))*(-1 + 1 - 2*z + (4*z - 6*z + z)*(2 - 1 + 2) + 2*z - z - 3*z).\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6795025 and 282?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2\/2 - 1375*r\/2 - 82038 = 0?\nAnswer: -1243, -132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 74*w - 266. Let c be t(4). Let z(y) = -y**3 + 14*y**2 + y - 18. Give z(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2, -3, 8, -9, 1 in ascending order.\nAnswer: -16, -9, -3, -2, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*(21\/15 - 1). Suppose 15 = y*s - 21. Solve 3*o = 3*i + 2*i + 9, 2*i - 3*o = -s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5960, 11919, 17878, 23837, 29796, 35755?\n\"Answer: 5959*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 278, -2\/11 in increasing order.\nAnswer: -2\/11, 3\/5, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*u = -56255, 3*g - 5*g + 4*u + 28160 = 0. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/33 - (-265)\/55. Suppose 4*t - 2*k = 10, t - 6*t - c*k + 50 = 0. Suppose 3*q = 2*u + 130, 8*u - 162 = -4*q + t*u. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/7*(-1 - 0). Is 9 a factor of ((-3)\/(-6))\/(i\/222)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(6\/11)*h*h)\/h**(-11))\/(h**(-2)*h**(1\/6)\/h*h) assuming h is positive.\nAnswer: h**(1081\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, -610, 0 in descending order.\nAnswer: 8, 1, 0, -610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 535785 to the power of 1\/2, to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16692)\/(-24))\/(-107))\/((1\/(-2))\/1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 8*j - 77. What is i(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10595 and 489.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3327345 divided by 5?\nAnswer: -665469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.034 + -1.274. Let m = 8.94 + p. Let o = -2.7 + m. What is the second biggest value in 0, -2, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 120 + -81. Suppose 0 = -926*n + 791*n + 1755. Calculate the greatest common factor of a and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 871819739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -223, -400, -535, -628, -679, -688, -655?\n\"Answer: 21*s**2 - 240*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2522?\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 98359871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from {n: 5, i: 3, q: 3}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*(2 + sqrt(1900)))**2 + sqrt(1900) + (1 + 2 + sqrt(1900))**2 + 4 + ((sqrt(1900)*-2)**2 + -1)*5.\nAnswer: 110*sqrt(19) + 41809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263313610?\nAnswer: 2, 5, 13, 19, 511463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-1 + (-14)\/(-2)). Let m be (-153)\/21 - -7 - o\/35. Let q be ((-4)\/6)\/2 - (8 + -8). Which is the closest to q? (a) -4 (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 82 + -95 + -83.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.6 - 4.1. Put j, -0.07, 20 in decreasing order.\nAnswer: 20, j, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3054679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/28 and (34\/(-10))\/((-224)\/(-20)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 10:47 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.646069kg?\nAnswer: 6646069000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -a. Suppose 2*w - 5 - 5 = 0. Suppose -4*b + 11 = 2*z + 3, 0 = b + 4*z + 12. Sort b, w, a.\nAnswer: a, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-196 - 94*p - 1447 + 93*p).\nAnswer: -p - 1643","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 18248.02 to the nearest 100.\nAnswer: 18200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 2) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -32*n**2 + 9*n + 13. Let w be m(-4). Find the common denominator of 0 + w\/(-75) + -1 and 13\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/18 + 60\/27. Let p be x\/1 - (-12)\/(-6). Factor -1\/3*q**3 + 0*q**2 + p*q + 4\/3*q**4 + 0.\nAnswer: q**3*(4*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 711 - 155. What are the prime factors of w?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 46, 40, 32, 22, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zstjpse. What is prob of picking 1 z, 1 t, and 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 344 - 343. Let a(f) = 9*f**2 + 5*f**2 - f**2. Calculate a(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*d**3 - d**3 - 9*d**3)*(0 + 1 + 1)*(2 - 2 - 9*d) to the form f*d**4 + a + g*d**3 + x*d**2 + j*d and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2. Let g(m) = -3*m**2 - 6*m + 6. Let n(r) = r - 1. Let v(l) = -g(l) - 6*n(l). Calculate i(v(p)).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 26*v**2 - 20*v + 46. Let y be p(26). Let b = -469 - y. Solve -3*c = b*s + 35, c + 6*s = 3*s - 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10351.5 - -8778. What is v rounded to the nearest ten?\nAnswer: -1570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 5. Let f = g - -3. Suppose -2*w + 95 = f*w. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30405185 is divided by 35645?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405 = -4*l + 110*s - 65*s, 0 = -4*s + 36 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.74 and 903?\nAnswer: 12407.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 divided by -39?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*1*((-150)\/140 - (-12)\/21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(936) + (sqrt(936)*2 - sqrt(936))) - 5*sqrt(936)*1)\/((sqrt(160) + -2*sqrt(160))\/((sqrt(55) + sqrt(495))\/sqrt(11))).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 25*y**2 + 46*y - 252. What is q(5)?\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1475 - 886. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2400 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39924730 and 32470.\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -14*q**5 + 12*q**4 + 32*q**3 + 6*q**2. Let z(k) = 5*k**5 - 4*k**4 - 11*k**3 - 2*k**2. Let p(r) = 6*h(r) + 17*z(r). Factor p(d).\nAnswer: d**2*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u*u\/(u**(1\/5)*u*u))\/u)\/(u*u*u*u**(3\/28)))**(-32) assuming u is positive.\nAnswer: u**(2584\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 l when three letters picked without replacement from {l: 2, m: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -23, -0.5, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(187)*-4*-2)\/(-1*1*sqrt(33)\/sqrt(3)))**2.\nAnswer: 17408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 (base 10) in base 8?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 298549.885 to the nearest 100.\nAnswer: 298500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000579 to 6 dps.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5525651*w - 3650538.\nAnswer: -5525651","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4278.842708 to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (138\/46)\/24*-136\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p**2 - 3. Let o = 10 - 16. Let n(v) = -17*v**2 + 6. Suppose 4839*t = 4810*t - 200 - 177. Give o*n(r) + t*d(r).\nAnswer: -2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -11*r + 48. Suppose -5*u = -4*z - 828, z + 0*u = -3*u - 190. Let i be z\/(-6) - r\/27. What is the highest common factor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69470304823073105\/129162 - -537854050128. Let z be (-8)\/(-30)*(-5)\/(-3914). Let u = o + z. Calculate the common denominator of -93\/20 and u.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*u + 2*c - 24, 0 = -4*u - c - 56. Is 14269296\/1027 - (-2)\/u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14, 13, 20, 41, 82, 149, 248, 385?\n\"Answer: r**3 - 2*r**2 - 2*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/(34\/(-102)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6994776789 to 2 dps.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djddzzzdzzzdz. What is prob of sequence dzdz?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -1187*m + 2582. Give c(3).\nAnswer: -979","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1399*h**2*o**2 + h**2 + o**2 - 15*o + 10 wrt h?\nAnswer: 2798*h*o**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -43\/20*f**5 + 0*f**2 - 32*f + 0*f**4 - 14\/3*f**3 + 0. What is the second derivative of j(a) wrt a?\nAnswer: -258*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 + 1286*o**4 - 1287*o**4 + 0*o**3 + 4 + o**2 to v*o + n*o**3 + k + b*o**2 + y*o**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*u - 12, -x - 2*u = 0. Let q(v) = 7*v**2 + 6. Let f(t) be the second derivative of 1\/12*t**4 + 1\/2*t**2 + 0*t**3 + 0 + t. Give x*f(s) - q(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((3 + sqrt(425) + sqrt(425) + (1 + sqrt(425) - sqrt(425) - sqrt(425)))*3 - -4*(6*(-1 + sqrt(425) - sqrt(425)) - sqrt(425) - sqrt(425)))**2 + -5.\nAnswer: 600*sqrt(17) + 10765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 685 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -62, -123, -196, -275?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + 7*q**2 + 2*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-eight fifths of a decade?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-3)\/(-3)*-2. Suppose -4*y + 376 = 3*c, -n*c + 340 = 4*y - 36. Let i = y + -46. What is the remainder when i is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2407 and 290?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 7:20 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -10*g, 3*h + 5*g = 9. Solve m - 11 = h*x, -4*m = -2*x + 3*x - 18 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**3 + 2070*n**2 - 42207*n + 40140 = 0. What is n?\nAnswer: 1, 20, 669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -0.4 (b) 1 (c) 0 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/9*v**4 + 25\/9*v**3 - 3*v**2 + 11\/9*v - 1\/9.\nAnswer: -(v - 1)**3*(8*v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -427, -1706, -3851, -6874, -10787, -15602, -21331, -27986?\n\"Answer: -2*s**3 - 421*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -1. Suppose 0 = 5*b - 2*y - 3661, 0 = b + b - a*y - 1458. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 i when three letters picked without replacement from gigiyeiighgggey.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*n + 1 + 5 - 68*n.\nAnswer: -2*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3369, 3673, 4191, 4923, 5869?\n\"Answer: 107*g**2 - 17*g + 3279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -1\/17, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27476877*a**4 - a**2*u**3 + 4*u**3 + 808818*u**2 - 22*u + 1 wrt a.\nAnswer: 109907508*a**3 - 2*a*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmcmmmmmc. Give prob of sequence cmmc.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-82)\/5)\/(2\/(-10)). Suppose 0 = -2*p + 4*p - i. Suppose 20 = 4*n + q - 6, 0 = 5*n - 3*q - p. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**4\/12 + 3*w**3\/2 + 9*w**2\/2 - 12*w. Determine f(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -11*p**4 - 19*p**3 - 43*p**2\/9 + 31*p\/9 + 2\/9 = 0.\nAnswer: -1, -2\/33, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 140 = 23 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (1 - -9 - (-11 - -8) - 10).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*y + 6*k, 0 = 3*y + 165*k - 150*k + 9 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 734695 + -71309. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3016*p**2 - 958*p**2 - 1389*p**2 + 982*p**2 to m*p**2 + b*p + g and give m.\nAnswer: -4381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1354 - 0.0454. Let k = 3 + -3.1. Is p less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-6))\/((-2)\/(-6)). Let z(p) = -3*p - 6. Let l be z(-3). Suppose 5*x = -2*c - 21, 2*c - c = l*x + 17. Put -4, k, c in increasing order.\nAnswer: k, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 9:10 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.61 + -3.68. Let l = 122 - 609\/5. Which is the closest to m? (a) -4\/5 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4.1. Let y be ((-96)\/(-5))\/(6\/120*6). Let g = -193\/3 + y. What is the closest to 3\/4 in g, h, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20308449665 + 0.1.\nAnswer: -20308449664.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14754289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-2 + -6) - (7 + (20 - 10))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 5*p**2 - 4*p**2)*((0*p + 3*p - 2*p)*(-p + p - p) + p**2 - 2*p**2 + 3*p - 2*p).\nAnswer: -4*p**4 + 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wiw when three letters picked without replacement from {s: 1, i: 1, k: 1, u: 1, d: 1, w: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(2 + sqrt(180) + -1 + sqrt(180) + sqrt(180) + -2*sqrt(180) + -2))**2 + -5)*3.\nAnswer: -900*sqrt(5) + 13560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/20)\/(1\/(-8)). Let j = s - -6. Suppose 0 = -n - j*r + 3*r + 18, 2*r = 2*n - 32. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 2 - 1 - 3*l + 2*l + 4*l - 2*l + (-2 + 2 - 2)*(l + 0*l - 2*l) + 4*l - 2*l + 0*l in the form c*l + w and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l - 7. Let h be z(-2). Suppose 4*g = -m - 17, h*m + 9 = 3*m - 3*g. Factor 2*c + 0*c - 2*c + c**m.\nAnswer: c**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 4\/(-10) - 3569\/(-215). Let f(w) = 10 + w - z + 8 - w**2 - w. Give f(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456117840 + 456117840 + 11228*h**3.\nAnswer: 11228*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-293)\/(127455\/(-3654)))\/((-6)\/(-2))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17264, -69035, -155326, -276143, -431492, -621379, -845810, -1104791?\nAnswer: -1398328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -768 or -769?\nAnswer: -769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 - 1814*u**3 - 19843*u**2 - 18030*u.\nAnswer: -u*(u + 1)*(u + 10)*(u + 1803)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aarq when four letters picked without replacement from {l: 3, r: 7, q: 1, a: 5}?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 122*v**3 + 115*v**2 - 1843*v - 1844. What is j(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 70*n + 71*n = -5580, 8*y - 44730 = -2*n. Calculate the greatest common divisor of y and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 3:17 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180631147, 180631148, 180631149?\nAnswer: 180631150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 58*j + 217. Let i(l) = -115*l - 435. Let t(h) = 7*d(h) + 3*i(h). Is t(6) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 10*n**2 - 10*n + 10. Let q be s(-11). Let v be (-3 - 3)\/(-1 + q). Suppose v*j + 14 = 107. Calculate the remainder when j is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q**2 - 6*q - 25. Calculate x(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -1, 1, 0.5, -0.1, -44?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 55506 divided by -2\nAnswer: -27753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.74909 micrograms in grams?\nAnswer: 0.00009474909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 136\/(-40) - (-3)\/(-5). Let c = -1 - z. Find the first derivative of -5 + 5*n - 5*n - 1 + 3*n**c wrt n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 25320.\nAnswer: 25320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 + v - 36 - 55 - 57.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -784835, -3138503, -7061283, -12553175, -19614179, -28244295, -38443523?\nAnswer: -50211863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 15620872232340?\nAnswer: -15620872232344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -59 + 74 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47884 is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpmkqstppmq. What is prob of picking 2 p?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 13108.2147 hours?\nAnswer: 78.0250875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -f - 27. Let c = f + 50. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 18 = 3*l, -11*l - 16 = 4*b - 9*l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2 - 0. Let k = 1453\/7 + -207. Find the common denominator of k and s\/(3 + (-630)\/213).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547228.7 weeks in seconds?\nAnswer: 330963917760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00145553 rounded to five dps?\nAnswer: -0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**3 + 9*h + 10*h**4 + 5*h**3 - h**3 + 1 - 8*h**3 + 0 in the form k*h**2 + z*h**4 + r*h + c*h**3 + v and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1 - (-1 + -2) - 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18776 and 4.\nAnswer: -0.75104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 5*b**2 + 6*b. Let t(f) = 2*f - 10. Let g be t(7). Calculate the remainder when l(g) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/33)\/(4 - (-48)\/(-18)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30049*f**3 - 30071*f**3 + 60105*f**3.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**8\/840 + 2*i**7\/525 - i**6\/300 + 24*i**2. Factor w(q).\nAnswer: -2*q**3*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 6:07 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 39804 = -12*u. Let m = u + 34902. Round m to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.2, 2\/13, 3, -9\/4903 in decreasing order.\nAnswer: 3, 1, 0.2, 2\/13, -9\/4903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + -1 + (-9)\/(5 - 2). Suppose o - 3*o + w*f + 30 = 0, -2*f + 90 = 4*o. Let b(u) = 4*u - 4. What is the least common multiple of o and b(3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -0.03018241251662?\nAnswer: 0.06981758748338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 2272554.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2170 and 1245890?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**5\/3 - 12595*l**4\/3 + 100709*l**3\/3 - 163637*l**2\/3 + 25174*l = 0?\nAnswer: 0, 1, 6, 12587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12537 + 4939569\/394. Calculate the common denominator of s and 10\/3.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 426 + -136. List the prime factors of v.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3656 (base 7) to base 2\nAnswer: -10101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 9*o - 4*o = 242 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -916674 divided by 8\nAnswer: -458337\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3583 - -7)*2\/(-4). Let r = -1147 + f. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 5*t**3 - 16*t**3 - 3*t + 4*t + 1. What is the remainder when a(-1) is divided by 3 + -2 + -1 - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341317586 a multiple of 576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 6 - 49\/(-441)*189.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -17110314 + 32\nAnswer: -17110282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1350*o + 39660 + 38640 = 0 for o.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 5. Suppose k*g - 3*o - 3 = 0, -3*g = -0*o - o - 5. Suppose z = -z - 4*c + 32, -5*c = g*z - 44. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 13*n + 247. What is p(0)?\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*v = 4, 4*v = -158*f + 161*f - 39. Solve 2*l + 6 = 25*r - 28*r, -f*l - 10 = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r + 57 = 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 103631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -90*b*o**2 - 3*b*o + 3655636*b + 46*o - 3 wrt o.\nAnswer: -180*b*o - 3*b + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -654208.\nAnswer: 5\/654208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1490*i**2 + 160. Let l(y) = 298*y**2 - 30. Let m(s) = -16*l(s) - 3*q(s). Let k(z) = z. Calculate k(m(b)).\nAnswer: -298*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**2 - 30*n + 65. Calculate j(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 46*f**3 - 2*f**2 + 3*f - 1. Let v be y(1). Let z = 46 - v. Solve -3*g + z*g - 6 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 296803, 593596, 890389, 1187182, 1483975, 1780768?\nAnswer: 2077561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -48369936 divided by -3786\nAnswer: 12776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -104609.644 + 222.644. Let d = -104681.554 - b. Let y = d + 294. What is y rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97393 divided by -337?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-15)*3495\/2330\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -84. Let d = -7 + i. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -24, -5.\nAnswer: -24, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from nnfvcnvvfvnnvcvvnn.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-3 - -1) - 4. Suppose -2 = -3*s + 4*t, -5*s + 3*t - 12 + 30 = f. Solve s*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4758 + 4767. Sort 5\/6, -6, 4, g.\nAnswer: -6, 5\/6, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 192983, 192970, 192957, 192950, 192955, 192978?\n\"Answer: f**3 - 6*f**2 - 2*f + 192990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2624090700 divided by 4.\nAnswer: 656022675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -185 - -130.5. Let b = -55 - n. Sort 1.1, 0.2, b, -3\/5 in ascending order.\nAnswer: -3\/5, b, 0.2, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1887990 divided by -3055\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/15)\/(-19)*6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17151a (base 13) in base 11?\nAnswer: 362518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 128765073 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -49.951. Is 0 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/12*45\/(-30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9\/11, -1\/4, 7, 2\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24121927343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.27 and -729.\nAnswer: -3112.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -239*u**3 + 2*u**2 + u. Let k be n(-1). Suppose -250 = 5*a - k. Suppose 2*g - 6 = 3*y + 5*g, -4*g - 8 = 5*y. Put 1, y, a, -3 in ascending order.\nAnswer: -3, a, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -657, -1318, -1979?\nAnswer: -2640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4278)\/(-230))\/31)\/((-15)\/(-275)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**2 + 2*b - 4. Let g(d) = 8*d**2 + 3*d - 6. Let l(m) = -2*g(m) + 3*s(m). Let n(z) = -214*z**2. What is n(l(u))?\nAnswer: -856*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 2\/3, -3, -20, -39, 13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10132 is divided by 611?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155 - -231. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 + 2*s**2 - s**2 + (s + 3 - 3)*(-7 + 6*s + 7) - 3*s**2 - 3*s**2 + 3*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51462 is divided by 350.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 25, -6 in increasing order.\nAnswer: -6, -3, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-400)\/25 + 29\/(638\/388).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (1 - 3)\/2. Suppose -5*h - b*a + 3*a + 45 = 0, -h + 4*a + 28 = 0. Suppose 4*d - h = 0, m = 4*d - 6*d + 4. Solve g = -m*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2461 divided by -2461?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 39 = 4*t. Suppose 10*v - t = 151. Calculate the remainder when v is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100619081?\nAnswer: 5669, 17749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -166*x**5 - 2*x**4 - 4*x**2 + 2*x + 4512 wrt x.\nAnswer: -3320*x**3 - 24*x**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13544310 (base 9) in base 16?\nAnswer: 66437d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -1\/2*c**2 + 4 + 0*c**3 + 6*c + 1\/4*c**4. Calculate v(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -17*i**2 - 5. Suppose 0 = -v + 2 - 0. Let k(z) = 5 - 3*z**2 - 6 - z**2. Suppose 19 = -4*l - 17. Determine l*k(x) + v*o(x).\nAnswer: 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*s + 2*d, -14*d + 5 - 34 = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/9, -5, 0, -0.334, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 370526918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2592*k**2 - 550*k - 7. Let q(j) = -18*j**2 + j - 1. Let l(f) = h(f) - 6*q(f). What is the second derivative of l(i) wrt i?\nAnswer: 5400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -15 - 22 - 13 - 8*l**2 + 2*l**2 + 46 + 5*l. Let i(x) = -x**2 + x - 1. Let y = 255 - 250. Determine y*i(o) - j(o).\nAnswer: o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-2)\/((-24)\/14) + (-29)\/58)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21395363, 42790695, 64186027, 85581359?\nAnswer: 106976691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 301 = 295. What is the third derivative of 71*c - 51*c**m + 0*c**3 - 71*c + 7*c**3 wrt c?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328709662 to the power of 1\/2, to the nearest integer?\nAnswer: 18130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 14. Let i(m) = 118*m + 54. Determine i(l) - 4*o(l).\nAnswer: 118*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -223.7 - -223.8. Which is the second biggest value? (a) q (b) 0.2 (c) -2\/11 (d) -180\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i + 104*i**2 + 4*i - 4*i + 2*i**4 + 78 - 68 in the form d*i + a*i**4 + y + w*i**2 + q*i**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10911 - 202.\nAnswer: -11113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 22180932*u**4 + 990622980*u**3 + 15062830272*u**2 + 82469424128*u + 68375035904 = 0.\nAnswer: -2576\/177, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22010, -21976, -21936, -21890, -21838?\n\"Answer: 3*o**2 + 25*o - 22038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 400.2 - 364. Let g = t - 22.2. Which is the third smallest value? (a) 4 (b) -5 (c) g (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -2, 2 in descending order.\nAnswer: 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*o + 4*i + 12, 1381*o - 1377*o - 2*i - 16 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) 1\/2 (c) 7 (d) -2 (e) 79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t**3 - 2*t**2 + 3*t - 2. Let q be s(1). Suppose q*u - 378000 = 2*u. Round u to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16.8, 143, -0.02, -0.14 in descending order.\nAnswer: 143, -0.02, -0.14, -16.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.5806114 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 - -163. Suppose 132*c - 65*c - 134 = 0. Suppose 0 = -2*p - c*y + x, -50 = -p - 4*y + 72. List the prime factors of p.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4 - 19. Let w = 5 + b. Suppose w*k + 25 = 5*k. Solve -3*z - 5*p = -k, -p + 6*p + 5 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k - 34. Let l(a) = -10*a + 69. Let r(x) = 5*j(x) + 2*l(x). Let h be r(7). What is the nearest to -0.1 in h, 1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 8*w - 1. Let p be a(8). Let b be p - 0 - 0 - -236. What is the remainder when (-2)\/3 + b\/15 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 9. Let b be n(-4). Let o = 4 + b. Let u be (0 + 3)\/(o - -2). Calculate the greatest common factor of u and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*k - 55, -6*a = -k - 8*a + 22. Solve 4*f + 0 = k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**2*i**2 - 4*c**2*i + 2*c**2*q - 8*i**3*q - 5*q wrt i?\nAnswer: -10*c**2 - 48*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/6*(4 + 2). Let p(y) = y**2 + 4. What is the tens digit of p(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.83443057 to four dps.\nAnswer: 13.8344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.8391 - 2.7791. Which is the nearest to -1\/7? (a) u (b) 3 (c) -7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**3 + 7*k + 10. Let s be y(-5). Suppose s = 2*z - 619. Let t = 138 + z. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + p + 2 - 5*p**2 + 5*p**2 + p. Let l be r(-2). What is the first derivative of -21*i + l + 9*i + 11*i wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 v, and 1 q when four letters picked without replacement from vqqqwqsqsswv?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**2*h*m**3 + 211*d**2 - 483*h**3*m**2 + 6*h**3 + 2*m wrt m?\nAnswer: 6*d**2*h*m**2 - 966*h**3*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1511 = 14*c - 1889. Suppose -3*j - j = -104. Let p = -10 + j. What is the remainder when c is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -53, -90, -145, -224, -333, -478, -665?\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.47? (a) 15441 (b) -0.7 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4544 times 0.2\nAnswer: 908.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83364212?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28004019 rounded to the nearest one hundred thousand?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3252064 is divided by 666?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 g when two letters picked without replacement from tvnvnhggnhgavghvn.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0264304 to 3 dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 55332 (base 6) to base 5\nAnswer: 221223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -71374.\nAnswer: -2\/35687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 70 = -312. Calculate the remainder when t is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 8*y - 1. Let j be n(6). Let l = -16 - j. Which is smaller: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -3150.\nAnswer: -3149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 147 + -148. Which is the closest to m? (a) -4 (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 500 + -1 + 0. Suppose -g = m + m. Is -4 - m\/9 - 2\/(-9) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55.3 - -55. What is the second smallest value in -10\/19, y, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/13 in 0, 9, -6, 957?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -2)\/((-8)\/(-6)). Suppose n + 4*n - 40 = -5*o, -3*n - 4 = -4*o. Suppose 208*u + 845 = 39*u. Put u, -1, o, p in descending order.\nAnswer: o, p, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-10) + 192\/(-160)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(3\/4)*c)\/c**7*(c**(-9))**(-12\/17))**(-22) assuming c is positive.\nAnswer: c**(-1573\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 2. Let c(j) = -109 + 7 + j - 103*j. Let s(o) = c(o) - 51*y(o). Let i(b) = -5*b. What is 21*i(w) - 2*s(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 + 90. Which is the biggest value? (a) l (b) 1\/3 (c) 0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 2:26 AM?\nAnswer: 545","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1\/((-5)\/45) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + 2 + -3)*1\/1 - (5186 + -5155)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17705397 a multiple of 2033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**3 - 3*h**3 - 4*h**3)*(219 + 26*h + 59*h - 221).\nAnswer: -85*h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a - 1. Let z(c) be the first derivative of c**2\/2 + 8*c + 1. Let m be z(0). Suppose -4*s + 2*p = 6, 3*s - 7 = m*s - 2*p. What is g(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g + 1156 - 1718 = 1472. What is the second smallest value in -5, g, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsusuggssuoluh. Give prob of sequence sl.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/6 and -33\/18881.\nAnswer: 113286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2528610864*k. Let f(m) = -2*m**2. Calculate f(n(t)).\nAnswer: -12787745803077652992*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/7 - 750496*c\/7 + 3752505\/7.\nAnswer: -(c - 5)*(c + 750501)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1178.44236 * -5.\nAnswer: 5892.2118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l**2 - 2*l**2 + l**2 + (17 + 13 - 9)*(4*l**2 + 0*l**2 - 2*l**2))*(11*l - 18*l + 9*l) to the form g*l**2 + m + v*l**3 + r*l and give v.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 16*r**2. Let h(a) = -17*a. Determine h(s(n)).\nAnswer: -272*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.55 - 0.21. Let o = 0.22 + q. Let n = 1 - o. What is n rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2058 - 2058 - 18*p**3.\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 74 = -6. Suppose -37*i = -g*i - 12. What is the closest to -2\/5 in -1\/5, 3, i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Let n = -1 - 6. Let h(z) = -44*z + 7. Let x(d) be the first derivative of 15*d**2\/2 - 2*d + 132. Let j(m) = n*x(m) - 2*h(m). What is j(o(b))?\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 464 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 3:50 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3077051 is divided by 769262?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 7:16 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2*n + 32333460*b**2 - 14862453*n wrt n?\nAnswer: b**2 - 14862453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212, -303, -454, -665, -936, -1267, -1658?\nAnswer: -2109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 316175, 632345, 948511, 1264667, 1580807, 1896925?\n\"Answer: -v**3 + 4*v**2 + 316165*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuy when three letters picked without replacement from {y: 5, u: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1441.2 * 2.\nAnswer: 2882.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 7. Give c(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -10*d - 9. Let g(l) = -43*l - 39. Let j(r) = 3*g(r) - 13*m(r). Let x(i) = -37*i**2 + i - i - 126*i**2. Calculate j(x(p)).\nAnswer: -163*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, d: 1, w: 7, c: 5}. What is prob of sequence wr?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(12 - 14)*1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286256099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*f + 19042 = -538 for f.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9058*p + 759. What is the hundreds digit of j(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, 5, -15 in descending order.\nAnswer: 10, 5, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c = 30*c. Suppose -7*k + 834 = 2*n - 5*k, c = -3*n + 5*k + 1211. List the prime factors of n.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5525033773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -4638.\nAnswer: -927.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**5\/7 + 38*r**4\/7 - 526*r**3\/7 + 464*r**2 - 8905*r\/7 + 8450\/7 = 0.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.1789\nAnswer: 0.8945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -8*k + 105. What are the prime factors of ((-28)\/k)\/((-3)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = -19 + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + 2*l - 7*l - 6*l in the form a + j*l and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -25, 24*h = -5*q + 19*h - 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 48.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 139*m**2 - 560*m + 5. Calculate l(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + j**4 - 8 + 44 + (2 + j**3 - 2)*(j + j + 0*j) + 2*j**4 + 2*j**3 - 2*j**3.\nAnswer: 5*j**4 + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35\/108 in 2\/5, 1\/7, -190, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 3, s: 2, a: 1, m: 3, i: 3}. What is prob of picking 2 j?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3402 - -3487. What is the remainder when s is divided by 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 860 divided by 10.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45859?\nAnswer: 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89 + 54. Calculate the least common multiple of 20 and 3\/5 + (-609)\/w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -13543919405 and 0.6.\nAnswer: -13543919404.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*3*((2*sqrt(147) - sqrt(147) - sqrt(147))*-5 - sqrt(147)))**2*2*-5*-4.\nAnswer: -2381400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 8. What is o(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 38.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 12 = 4*n - 8*s, s = 2*n + 6. Let p be 3 + (-1 + 2)*n. Suppose q + 0*i + 4*i - 20 = p, -20 = -3*q - 2*i. Solve -3*v + q = -2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**4 - 6*k**3 + 3*k**2 = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137412 by -44.\nAnswer: 3123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 463 - 125. Let c = -333 + w. Which is greater: -25 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/264 and 133\/396.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 216 - 212. Find the third derivative of -53*d**3 + 82 + z*d**2 - 9*d + 9*d - 87 wrt d.\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1045 - -1046. What is the nearest to -2\/5 in l, 4, -2\/27, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6447, -1, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*v**2 + 764222*v + 218348.\nAnswer: 2*(v + 54587)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025743 rounded to 4 decimal places?\nAnswer: 0.0257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -446, -669, -892?\nAnswer: -1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + y = -1 + 9, -3*y = 5*r + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 divided by 5?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98\/13, 0.20807, -2\/9.\nAnswer: -2\/9, 0.20807, 98\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -15.9. Let t = -5576 + 5575.6. Which is the closest to -2\/3? (a) 3 (b) t (c) 0 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 23*s - 26*s - 11 = 0, -6 = -3*x + 3*s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f. Let p(h) be the first derivative of -h**2\/2 - 3. Let l be (0\/(-1))\/((-8)\/4). Suppose l = n - 2 + 4. Calculate n*p(m) - z(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 3598656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.359 - -1.259. Which is the nearest to y? (a) 2 (b) 0.1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1812 + -1115. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v + 40 = 0. Let w(k) = 3*k - k**2 - k**3 - 2*k**2 + 5*k**2 + 0 - 1. Calculate the remainder when v is divided by w(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -295169 at least -295144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 15 = -471*i + 466*i, -3*i + 15 = -g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 2)*(1 - -16). Find the first derivative of -n - 23*t**3 - 13 + 2*t**3 wrt t.\nAnswer: -63*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -71. Let s(h) be the first derivative of -h**2\/2 + 2*h + 1. Give s(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q\/(q\/(q**(3\/2)*q)*q)))**2*(q**(-2\/3)*q)**(-2\/15))**6 assuming q is positive.\nAnswer: q**(-454\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 2:29 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, j: 3}. Give prob of sequence jl.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1707 - -0.28061. Let d = 21 + -20.89. Let y = u - d. Round y to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**3 - 3*p**2 + 2*p + 3. Let y(c) = -c**3 - c**2 - c - 1. Calculate b(h) + 2*y(h).\nAnswer: h**3 - 5*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -31 + (84 - 34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -2. What is the first derivative of -x + 5 - 2 - 4*n - 3 wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(228) - (sqrt(228) + sqrt(228) + 1*sqrt(228))*6) + sqrt(228))*-2)\/(sqrt(96)\/(sqrt(16)\/(2*sqrt(2)))))**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from {n: 1, a: 1, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 27 - x - 2*x**2 - 2*x**3 + 28 to the form f*x + w*x**2 + y + j*x**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -0.2, -3, -484, 13, 73 in ascending order.\nAnswer: -484, -5, -3, -0.2, 0, 13, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -9 - (16 + -6 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 837 - 819. Suppose 3*l = -66 + 486. Suppose 4*b + 4*z = 148, -b - 3*b - 2*z = -l. What is the remainder when b is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 51, -3, -0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k + 2. Let r be s(-9). Let q = 7 + r. Find g such that 10*g**5 - q*g + 6*g + 140*g**3 - 240*g - 135 + 90*g**2 - 75*g**4 = 0.\nAnswer: -1, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r = -18*r + 18. List the prime factors of ((-62)\/r)\/(9\/(-81)).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 + -45 + -43 + 60.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(26) - (sqrt(936)*1 - sqrt(936)))\/(sqrt(56)\/(sqrt(7)*-4)).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 14.5. Which is the closest to 0.1? (a) -7 (b) -2\/13 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 40*j**2 + 66*j - 4383. What is r(41)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 3:25 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*d**5 - 5*d**3 - 1387*d**2 wrt d?\nAnswer: -2400*d**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -81*f + 84. Let d be x(1). Solve 0 = 13*q - d - 62 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -33\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x - 2*x)*(-1 + 1 + 2)*(2 + 1 - 4 - 4 + 2 + 0 + 0 + 2 - 4 + (-4 + 4 + 2)*(2 - 4 + 1)).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**5\/80 - v**4\/24 - v**3 - 68*v. Factor s(n).\nAnswer: n*(n - 6)*(n + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*g - 245*g + 48 = -4*u, 2*u = -5*g + 6*u + 48 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1188*l**2 - 5 + 1182*l**2 - 2371*l**2 - 16*l**3)*(3*l - 4*l + 4*l).\nAnswer: -48*l**4 - 3*l**3 - 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 4\/3, -0.5, -5, 0.5, 2 in descending order.\nAnswer: 26, 2, 4\/3, 0.5, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-416)\/260*(-15)\/4)\/(8\/(704\/12))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1326 is divided by 1004.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/27 and -143\/36722754.\nAnswer: 36722754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/(-4)*-1 - (-62 + 57). Which is the nearest to 0.5? (a) 3 (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -47*s - 4179. Let r be w(-89). Let h(t) = t**3 - 6*t**2 + 12*t - 10. Calculate h(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-6))\/(4\/(12\/(-3)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*j + 35 = -149*j + 5*i, 3*j = -5*i - 55 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 59. Solve 2*z = -z + d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5765 - -4589. Which is smaller: h or -1177?\nAnswer: -1177","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*i + 22, i - 21 = -i + 3*s. Let c = -4 + i. Sort -5, c, 4.\nAnswer: -5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (2*6\/10)\/(46\/848585)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 387 divided by -1088110.\nAnswer: -387\/1088110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1.2725, -1, 4\/9, -14 in increasing order.\nAnswer: -14, -1.2725, -1, -0.3, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from {v: 1, t: 1, d: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 15, 0*n - 441 = 5*c - 3*n. Let p = 49 - c. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 12:58 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 12*g + 110 = 16*g. Solve g*n = -3*d + 4, -11*d + 2 = -7*d + 5*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 7 = 0, 5*k - 4*m + 24 - 21 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3802 = 58*m - 612. What is m rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(539) - sqrt(539)*2))**2 + (1 + sqrt(539))*-2 - (-4*(sqrt(11) - (sqrt(11) + -3)) + sqrt(11) + sqrt(11) - ((-1 + sqrt(176))**2 - sqrt(176))).\nAnswer: -28*sqrt(11) + 5038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -228 times -238\nAnswer: 54264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + c - 1 = -4, -2*o = 3*c + 9. Suppose o = -2*j + 5*j - 414. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y - 33. Calculate a(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 6:19 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/((42\/(-18))\/7*-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/196488 and 1\/654960?\nAnswer: 1964880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -31*t. Let r(c) = -311*c - 2. Determine r(g(j)).\nAnswer: 9641*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/3 (b) -1\/19 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3 + 1927*w**2 - 394016*w + 21362432 = 0. What is w?\nAnswer: 112, 1703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/39893 - 87139\/512910. Let a = z - -4\/35. Let h = a + -23\/234. Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712773?\nAnswer: 3, 26399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dededddddddeeeeeeeee. What is prob of sequence de?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 4*l - 1. Let m be g(-3). Let a(i) = 1 - 4*i - 2*i**2 - 2*i**m + 3*i**2. What is a(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*k + 8. Suppose -k*i - 14 = -5*j, -28 = -0*j - 4*j - 4*i. Solve -v - j*h = -17, 2*h = 4 + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72.56 * -1584\nAnswer: 114935.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eelaeea?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 259 + -124. Let k = 180 - z. What is the highest common divisor of 495 and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = r, -4*d + 21*r + 23 = 22*r. What is the closest to -6\/5 in 0.1, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32352 rounded to 2 decimal places?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 149?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 2*s + 1. Let y be u(-1). Suppose -3*k - y = 4*o, -4*o - 4 = -0*o + 4*k. Suppose -l - 4*a + 15 = 0, 8*l + o*a - 21 = 3*l. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from viitrzd.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - -7. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195609 is divided by 184.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 448 = -4*p + 2*p, -5*p = -4*c + 448. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from yppdgpygyppgpuggg?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**2\/2 - m + 75. Let f(c) = 2*c**2 + 6*c - 3. Suppose -3*l = 5*t + 34, -2*t = 5*l - t + 20. Determine l*w(x) + f(x).\nAnswer: 2*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0\/19)\/(12\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -5, 2, 135\/13, 2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.17 (b) -1\/128 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*3\/(-255))\/(8\/20).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from {u: 6, c: 1, z: 8}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*b**3\/3 + 22*b**2\/3 + 38*b\/3 + 8\/3.\nAnswer: -2*(b - 4)*(b + 1)*(4*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, b: 6, x: 1, f: 3}. What is prob of picking 1 f, 1 r, and 2 b?\nAnswer: 27\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -0.7, 2\/3, -0.1, -0.41?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10311296 is divided by 134?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 5*c - 20, 6*i - 3*c = 3*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 3041?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**7\/420 + v**6\/240 + v**4\/6 - 4*v**2. Let z(i) be the second derivative of r(i). Find the second derivative of z(u) wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**4)\/p**(-9))\/((p**(-1\/7)*p)\/p**9))\/((p**8*(p\/p**(-3\/7))\/p)\/(p**(1\/6)\/p*((p\/(((p*(p\/(p**(1\/7)*p)*p)\/p*p)\/p)\/p))\/p)\/p)) assuming p is positive.\nAnswer: p**(505\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4134 by 6.\nAnswer: -689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 224*r + 9 - 12 in the form c + v*r and give v.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 15057?\nAnswer: -15058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*p + 35 = 5*a - 117*p, 2*a - p - 3 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9453 - 2*u + 2277 + 13293 + u + 9013)*(-u**4 - 4*u**4 + 2*u**4).\nAnswer: 3*u**5 - 102108*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17\/(-102) + (-2)\/((-24)\/2774). Calculate the greatest common factor of 21 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 619*-186.3391\nAnswer: -115343.9029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-7)\/(-35) + 12\/(-40)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 172, 3, -8796, -3 in ascending order.\nAnswer: -8796, -3, 3, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 + 112?\nAnswer: 112.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17312 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**3\/2 + 55*d**2\/2 + 175*d\/2 + 125\/2 = 0. What is d?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -v + 20. Is v > 13\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007613967 to five dps.\nAnswer: 0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 17*g**2 - 181*g + 181*g + 1.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*k + 196 = 30*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2658*s**2 - 1494*s**2 - 3329*s**2 + 1593*s**2 - 219*s**2 in the form w*s**2 + t*s + n and give w.\nAnswer: -6107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21400991, 21401079, 21401225, 21401429, 21401691, 21402011?\n\"Answer: 29*u**2 + u + 21400961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y = -5*y - 3*s + 10, -8 = 4*s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60 + 66?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6361232567?\nAnswer: 17, 23, 16269137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/17 + 17180*s**2\/17 - 36738944*s\/17 - 666878976\/17.\nAnswer: -2*(s - 4304)**2*(s + 18)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*b - 4, 0*b + 4*u = -4*b + 16. Let n be -2 + 0 + 8 - (b + 2). Solve -n*c = c + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 41647558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 * 114.\nAnswer: 19.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 576?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/20*2 + 6\/(-10). Let z = -1796 - -1799. What is the nearest to m in -4, -1\/5, z?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1153a8 - -3?\nAnswer: 1153ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -223, -335, -447, -559, -671?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -765*w**3 + 1315*w**2 + 420*w + 20 = 0. Calculate w.\nAnswer: -2\/9, -1\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2311 (base 5) to base 6\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*f + 35. Let c be 7\/(-5) + f\/(-25). Let h be (-2*c\/(-1))\/(-1). Let l(w) = w**2 - w + 1. What is l(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2176 - -153. What are the prime factors of g?\nAnswer: 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-3)*(-6 + (-72)\/(-10)). Let c = 9 - r. Let p(w) = c - 2*w - 18*w - 13. Let g(i) = -i. Give p(g(b)).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/4 and 93\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 7:37 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 5395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2674.03 to the nearest 10.\nAnswer: -2670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 9\/7 (c) -2\/11 (d) 15.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 19. Let c(z) = -z**2 + 9*z - 9. Let f be c(h). Let a(g) = -8*g - 5. Let m(k) = 7*k + 4. Determine f*m(o) + 4*a(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3\/4 (b) -0.5 (c) 0.2 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 498660913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 20*a**3 + a**2 - 1. Determine b(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5247*g - 5364*g + 585 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*d = 126*d - 244*d + 2. What is the second biggest value in -3, d, 135?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**3 - 142*r**2 + 68*r + 70 = 0.\nAnswer: -1\/2, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790779 is divided by 379.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 33 + (-66 + 25 - -44)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8502, -7489, -6474, -5457, -4438?\n\"Answer: z**2 + 1010*z - 9513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -10*y**3\/7 - 78*y**2\/7 - 104*y\/7 + 24\/7 = 0.\nAnswer: -6, -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f. Let p = 66 - 34. Let o(w) = -p + w**2 + 32. Calculate o(u(n)).\nAnswer: 49*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhhdhhhhhddhhhhhhh. Give prob of picking 1 h and 3 d.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011070404 to seven dps.\nAnswer: -0.0001107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(18 - 6*b + 10*b - 2*b).\nAnswer: 6*b + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 588\/2184*180\/63.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2102 - 2104 - 2099 - 2081 - 2107 + 10495 + 15*i.\nAnswer: 15*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 56 = c - 458, -2*c + 5*v = -778. Let x = -372 + c. Solve 4*f + x = 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*f + 14. Let o be 16\/f + 6\/(-21). Find the second derivative of -o*y - y**5 + 10*y**3 - 10*y**3 wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3974850?\nAnswer: 2, 3, 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**5\/60 - 13*d**3 - 109. Let g(b) be the third derivative of q(b). Let m(f) = 291*f. Give m(g(x)).\nAnswer: 582*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 565 = -5*t - 2*d, -2*t + 244 = -2*d. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57241.\nAnswer: 57241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and (-4 + 0 + 3)*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3694 is divided by 132?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 22*l**2 - 2*l + 12*l**2 - 5*l**2. Let z be a(1). What is the greatest common divisor of 18 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1465 rounded to three dps?\nAnswer: -0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p + 0*p - p + p - p - 2*p + (-6*p + 3*p + 2*p)*(2 + 3 - 2) + 2*p + 4*p - 5*p + (-3 + 0 + 1)*(-2*p + p + 2*p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/100 and 9\/(-24) - -3*(-753)\/216.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5411628 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = v + 1, 57 - 45 = -2*r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -237766\/9 - -26377. Which is bigger: f or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 252\/15*5\/1. Let z be n\/(-22) - (-10)\/(-55). Sort 3, z, -2 in ascending order.\nAnswer: z, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 35 = -305. Let i = b + 67. Let t = -27 - i. Put -3, -1, t in ascending order.\nAnswer: t, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*l + 23 - 23 + 16*l**2 wrt l?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 4:20 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 12.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/((-840)\/532) - 17\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 6:35 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 22 - 97 = 0. Suppose -3*l + 13*w = 18*w - 69, -3*l + 2*w + 48 = 0. Calculate the highest common divisor of h and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q**9\/q*q)\/q)\/q*q)\/q**16)**37)**47 assuming q is positive.\nAnswer: q**(-13912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 7*p**2 - 4*p + 7. Let a be z(-6). Let w(y) = -y**2 - 11*y + 7. Let x = 32 + -13. What is the remainder when w(a) is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 46795, 46794, 46793?\n\"Answer: -i + 46796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -976?\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4190*h - 2092*h - 2*h**3 - 2098*h.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3 - 57*i**2 - 49636*i - 1988448 = 0. Calculate i.\nAnswer: -168, -44, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**3 - 2*i**2 - i. Let j be h(-1). Let y(z) = -7*z**2 + 4*z**2 + z + 7*z**2 - j*z**2 + 2. Let n(f) = 3 + 5 - f - 5 - 2. Give n(c) + y(c).\nAnswer: 2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19)\/(-9) + (-215)\/129. Let m(k) be the first derivative of k**2 + r*k**3 - 7 - 4\/3*k. Factor m(f).\nAnswer: 2*(f + 2)*(2*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(3\/7)))\/n)\/n*(n*n**1\/n)\/n)\/(n\/n**(-4\/3)*n\/(n**(-1)*n)) assuming n is positive.\nAnswer: n**(-121\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 + 2*c**3 - 2*c**3 + (3*c - 5*c + 0*c)*(c + c**4 - c + (2*c**4 + 4*c**4 - 5*c**4)*(-3 + 3 + 2)).\nAnswer: -5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99\/206 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5*n - 116, -6 = n - 2. Let w = -74 - v. Let g(c) = c. Let b(j) = -j**2 - 7*j + 1. What is w*g(i) - b(i)?\nAnswer: i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 35 = -4*l, 0 = 5*u - 4*l + 25 + 20. Let q = 2 + 1. Which is the closest to q? (a) -2\/5 (b) u (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 4*d. Suppose -5*n + 35 = 2*n. Suppose c = -2*j - 4*c + n, 5*j + 2*c + 19 = 0. Calculate u(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/8, 2\/7, 0.3, 23173, -29, -0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from heeeeheeeeeeeeeh. What is prob of sequence hehe?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + 0. Suppose 2*s - 40 = -y, 6*y - s = 3*y + 113. Suppose 0 = -2*q - 3*j + y, -2*q - q + 57 = -4*j. What is the remainder when f is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k = -5*x + 192, -3*k + 188 = 5*x. Let f = x + -40. Suppose f = -z + 241 - 85. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4285772 rounded to 2 dps?\nAnswer: -12.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*c + 10*c**3 + c**2 - 2*c**4 + 2 - 10*c**3 in the form g*c**3 + s*c**4 + q*c**2 + r + n*c and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 149 + -145. Put 0, v, 3 in descending order.\nAnswer: v, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -264*a**2*d**2 - 28*a**2*d - 2*d wrt d?\nAnswer: -528*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a + 2?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k - 357. Let a be j(0). Let m = a + 558. Let y = -119 + m. What are the prime factors of y?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c + 0*c**2 + 6*c + 4 + 6*c**2 + (-2 - 4*c**2 + 22 - 5)*(0 + 1 + 2).\nAnswer: -6*c**2 + c + 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -1376?\nAnswer: -1376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119)\/sqrt(28) - (sqrt(17) + sqrt(68) + sqrt(17))*1) + 5)*-6)**2.\nAnswer: -1260*sqrt(17) + 8397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 1600\/64 + 1188\/588\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 13*f**2 - 696*f - 5. Let m(y) = -20*y**2 + 1044*y + 8. What is -8*a(j) - 5*m(j)?\nAnswer: -4*j**2 + 348*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 10*q. Let f(t) be the first derivative of -69*t**2\/2 - 444. Give f(j(n)).\nAnswer: -690*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dluuhlhll. What is prob of picking 3 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130251 - 83756. List the prime factors of u.\nAnswer: 5, 17, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203610330 and 17787.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 114, 112, 110, 108, 106?\n\"Answer: -2*p + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*t = -5444, y = 2*y + t - 1084. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*k - 3*k + 96. Suppose -9*v - k = -15*v. What is the closest to v in -0.3, -0.5, 7\/8?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(0 + 4 + sqrt(117)*1 + 1) + 2)*-1)**2.\nAnswer: 18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51.63*4055.\nAnswer: 209359.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 - 1332*a**3 + 96.\nAnswer: -1332*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/50 and -23\/3848953.\nAnswer: 192447650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 99, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8183506 divided by 3\nAnswer: 8183506\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9891.683cm in meters?\nAnswer: 98.91683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n = -10 - 32 + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x + 1. Let g(b) = -3*b + 1. Let o(q) = 3*g(q) - 2*s(q). Let m(u) = -u**2 + u + 2. Let c be m(-2). What are the prime factors of o(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2351069854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67243.07 nanoseconds in milliseconds?\nAnswer: 0.06724307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 w when four letters picked without replacement from {w: 5, n: 15}?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228479*y - 28*y**2 - 228479*y.\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**4 - 56*w**3 + 4*w**2 - 183. Let g(f) = -14*f**4 - 167*f**3 + 11*f**2 - 549. Let z(k) = -4*g(k) + 11*x(k). Differentiate z(m) wrt m.\nAnswer: 4*m**3 + 156*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1311, -2587, -3857, -5127, -6403, -7691?\nAnswer: -8997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4078 + 4101. Solve -23*j + 18*j = 5*b - 15, -5*b = j - m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/38135004 and -83\/1939068.\nAnswer: 114405012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*o**3 - o + 234?\nAnswer: -15*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i. Let p(b) = -3344*b**2 - 2*b + 38. What is f(p(o))?\nAnswer: -6688*o**2 - 4*o + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -1)*((-80)\/(-48) + 110\/(-75)). Solve -12*j + 1593 - 1497 = l for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41040 and 14640.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 127 + 717 = 4*c, 3*n + 586 = 4*c. Suppose -38168 - 113*z**2 - 2*z**3 + 0*z**3 - c*z**2 - 108063 - 12783 - 11094*z = 0. Calculate z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 82*k = 164*k - 77*k - 63, -20 = -3*c + 4*k - 6*k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 57690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94539, 378270, 851157, 1513212, 2364447, 3404874?\nAnswer: 4634505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -9, 0.12, -2\/3, -109\/5 in descending order.\nAnswer: 5, 0.12, -2\/3, -2, -9, -109\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 3 - 3 - 3 + 5 + 2 - 2 - 1 + (4 - 7 + 4)*(1 - 4 + 2) + 1 + 0 - 2)*(3*v - 260*v - 390*v + 36*v) - 8*v + 17*v + 15*v as h + c*v and give c.\nAnswer: 4301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*k*n**2 + 113*k*n*s + 888*k*n + 327*n**2*s wrt s?\nAnswer: 113*k*n + 327*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2172377999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**2 + y - 11. Let q(f) = 8*f**2 - f + 21. Let g(a) = -10*b(a) - 6*q(a). Factor g(n).\nAnswer: 2*(n - 4)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10478?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = m - 35, -6*m + 15 = -2*m + 5*a. Let x be 68\/11 + m\/(-55). Suppose 3*v + x - 63 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 34037 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/2 and 40\/23322341.\nAnswer: 46644682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 7 = -5*u, -9 = -684*q + 682*q + 3*u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + j + 13 = 0, -j + 3*j + 1 = -o. Solve -o*z + 6*z - 3 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 846301 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 874 - 874.2. What is the second smallest value in d, 342, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 22*m + 4. Let f be h(-6). Suppose 0 = -2*d - d - 4*l + 575, 0 = -2*d + 3*l + 389. Let c = d + f. Calculate the greatest common divisor of c and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -3020?\nAnswer: -3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 4:25 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1006 (base 7) to base 8\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 6) + (-31 - -73 - 58)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.1 - -6. Let s = -0.3 + 0.5. Let h(y) = -y. Let i be h(-5). Which is the closest to m? (a) -5 (b) i (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 6 = 2*u + 11*a, -3*u = 3*a + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a - 4*a + 2*a + 11 + 10*a. Let k(l) = -2*l**2. What is h(k(f))?\nAnswer: -4*f**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -j + 2*g + 11, 15 = 3*g. Let b = -2 + 4. Suppose 2*r - 6 = 5*z, -b*z - 3*z - 2*r = 14. Sort -4, z, j in increasing order.\nAnswer: -4, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, r: 5, s: 5}. What is prob of picking 4 r?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 9 - 9 = 0. Let u be -6 + 12 + k - 0. What is the biggest value in 1, 8, u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 639*p + 150. Let s be i(2). Calculate the greatest common divisor of 306 and s.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*u - 5*p, -2 = -3*u + 2*p - 6. What is the second derivative of -k**3 - u*k + 0*k**3 - 2*k**3 + 0*k**3 wrt k?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*t = -0*n + 54, 4*n + 50 = -t. Is 24 a factor of n\/(-30) + 326\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211\/212 + -66\/53. Which is greater: 10 or n?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 5*d**2 + 8*d - 37. Determine x(-9).\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-13 - -21) + 9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3292085418?\nAnswer: 2, 3, 43, 12760021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 12*m**2 + 4*m - 42. Let d(b) = b**2 - 1. Let u(c) = 3*d(c) - w(c). Let l be u(9). Solve 2*a = -3*n - 4, -6*a - l*n - 19 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 2*b**7\/105 + 9*b**4\/8 + 3*b**3\/2 + 14*b. Let i(k) be the second derivative of v(k). Differentiate i(s) wrt s.\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-3\/11)*f)\/f**(2\/35))\/((f\/f**9)\/(f\/((f\/((f**(-21)\/f)\/f*f))\/f*f)*f)) assuming f is positive.\nAnswer: f**(-4362\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-160)\/(-15) - 4)\/(2\/26100). Round w to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6907000 to the nearest one hundred thousand.\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/6 (b) -2 (c) -5 (d) -2\/13 (e) 12 (f) 129 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 16*y + 50*y + 21*y - 15 - 84*y. Determine u(13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 3*i + 5*i)*(-6*i**2 + 4*i - 4*i).\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653 - 3109 = -6*k. Let k*q + 219*q**3 + 3645 + 135*q**2 - 224*q**3 - 1842*q = 0. Calculate q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/6 + 3\/9 + 6. Suppose -v = -2*z - 5*v + 14, 0 = q*v + 6. Calculate the greatest common factor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20979 = 17*s - 60470. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21950 and 4390.\nAnswer: 21950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 514665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 8*k - 2*w = 932, 0 = k - 4*w - 304. Suppose 0 = -6*p - 6*p + k. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**2\/4 - 75*r\/4 + 119 = 0.\nAnswer: 7, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*f**5 - f**4 - 3569*f**3 + 38057*f wrt f.\nAnswer: 700*f**3 - 12*f**2 - 21414*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11702, 11690, 11678, 11666, 11654?\nAnswer: 11642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(3200)*-3 + sqrt(32)).\nAnswer: -464*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -23?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ennennn. What is prob of picking 4 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Suppose -2*t**2 + 5*t**2 + 2 - 1 - 2*t - y*t**2 = 0. What is t?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 149)\/(-1)*(-72 - -1). Suppose 773 = -5*x + s. Is 4\/14 - (-3 + x\/(-21)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1262c (base 13) to base 8.\nAnswer: 102327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 812 - -70. Suppose h = 6*r + r. Suppose 121*o**4 - r*o**4 - 2*o + 2*o - 5*o**2 - 10*o**3 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/163071 and 39\/90595?\nAnswer: 815355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(13\/4)\/b**(-2\/73))**5 assuming b is positive.\nAnswer: b**(4785\/292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72256 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 212179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 584*z**2 - 6417*z - 76. What is t(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67130850\/12605957 - 4\/151879. Which is bigger: 6 or g?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29106\/(-6534))\/(2\/22)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssjjsyussssssjs. Give prob of sequence jus.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-5 + 1 - 0)) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48 + -2 + 5 + -5. Let m = p + -46. What is the nearest to 1 in 15, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 18 = -3*f + 9, 5*f - 2*v = 10. Let r = f + -5. Let z(m) = m**2 - 10*m + 13*m - 11*m + 1 + 9*m. Calculate z(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 316.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7924261 and 144126.\nAnswer: 2669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 447 - 75. Let d = r + -327. What is the remainder when 110 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1023 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -3*q - 15. Suppose -q*n + n = 376. Let y = -55 - n. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -19*m**2 + 6*m - 3. Let o(n) = 18*n**2 - 7*n + 4. Calculate 6*j(q) + 5*o(q).\nAnswer: -24*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 13. Suppose -5*c = -p - 2*c + 17, -p = c + 3. Suppose p*q + j*d = 97 - 2, 3*q = -d + 162. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + -0.8. Let l = 6 + -5.6. Let m = 179829 - 899147\/5. Which is the third smallest value? (a) l (b) 2\/13 (c) m (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (-1 + 9\/3). Let p = -3\/28 - 5\/84. Let f(x) = x**3 + 5*x**2 + 3*x - 5. Let a be f(-4). What is the closest to 0 in p, n, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/3 + 2\/3. What is the closest to 1 in 0.2, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-1 + 4)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -3, 7, 9, 2133 in ascending order.\nAnswer: -3, 4, 5, 7, 9, 2133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 85015344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2316303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 5 - -4) + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.04 (b) -5\/2 (c) 0.1 (d) 149\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -4*z**3 - 223*z**2 - 74*z - 652. Find h, given that v(h) = 0.\nAnswer: -37, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**3 + 4*u**2 + 195*u - 1350 = 0.\nAnswer: -15, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 419, 1356, 2291, 3224, 4155, 5084?\n\"Answer: -h**2 + 940*h - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - a + 18 = 19*t, 5*a = -3*t + 22. Sort t, -3, -41 in ascending order.\nAnswer: -41, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*sqrt(99) - sqrt(99) - (sqrt(99) + sqrt(99)*1)*6)\/(-6*(sqrt(45)\/(sqrt(15)\/sqrt(3)) + 2*sqrt(1296))).\nAnswer: -17*sqrt(11)\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/42575 and 53\/9?\nAnswer: 383175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13628, 13620, 13612, 13604?\nAnswer: 13596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1032080 and 8120.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 + -17703141?\nAnswer: -17703130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 - 6*q. Suppose -8*l = -5*l - 72. Suppose r + l = -r. Let u = 18 + r. Let j(o) = -2*o**2 - 5*o. Determine u*j(y) - 5*v(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6)*282\/4. List the prime factors of (-25)\/5 + 2 - j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-17)*v*v\/((v**(1\/4)*v)\/v)*v)\/(v**7\/(v*v**(-1\/17))))**(2\/37) assuming v is positive.\nAnswer: v**(-1381\/1258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 f when three letters picked without replacement from {x: 9, f: 3}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - 12. Let t = -6.4 + 18. Let c = g + t. What is c rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.5 - 3.5. Which is the closest to v? (a) 1\/4 (b) 5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/l**3)*l)*l**(-3\/4))**33 assuming l is positive.\nAnswer: l**(-495\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441816 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*(-102)\/(-5967)*26\/34.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 12*r + 14. Let u be p(7). What is the second smallest value in u, -1\/148, 2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-3))\/((-4)\/(-64)*4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, k: 1, p: 3}. What is prob of sequence kvp?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85 + 85 - 135*t)*(-4*t + t + 2*t)*(3*t - 3*t + t**3).\nAnswer: 135*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/540*-63*-2*(-4)\/14\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z**2 - 1. Let d be w(1). Suppose -v = -2*n + 4*v + 10, 4*v = -2*n - 8. What are the prime factors of 2 + d - (n + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2 - (71 - (1 + 57)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v - 16. Suppose -2*l + 0 = -2*a - 2, v*a = -l + 26. What is the lowest common multiple of 24\/10*(-70)\/(-21) and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 0 + 4)*(6*b - 2*b - 2*b) + 0*b - 6*b + 0*b)*(-b**2 + b**2 - 2*b**2) to the form w*b + j*b**3 + y*b**2 + n and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(363) + (sqrt(363) - ((-2 + sqrt(363))*1 - sqrt(363))).\nAnswer: 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0 = 8. Suppose -6 - 10 = 4*x. Let f(w) = 5*w**2 - w - 6. Let a(z) = z**2 - z - 1. Let i(v) = x*a(v) + f(v). Determine i(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447 = -4*o + 5*p, 4*o + 338 - 825 = -3*p. Let y = 44 - o. Let s = -53 - y. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*f + 1. Let l = 4 + -2. What is the remainder when f is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2. Let t(c) = c + 1. Let i(y) = -9*y - 7. Let l(o) = 2*i(o) + 14*t(o). Give n(l(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12042058?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + s = 371, -2*j + 150 = 3*s - s. What is the remainder when j is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12429, 99479, 335763, 795897, 1554497, 2686179, 4265559, 6367253?\n\"Answer: 12436*h**3 + h**2 - 5*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m - 15*l = -25*m - 421, 5*m + 79 = 3*l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 145\/24 + -6. Let u(h) be the third derivative of 1\/3*h**3 + l*h**4 + 0 - h**2 + 0*h. Determine u(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360*s + 82*s - 46*s.\nAnswer: 396*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 k, 1 w, and 1 a when four letters picked without replacement from {a: 7, d: 5, k: 1, x: 2, z: 2, w: 3}.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101751685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**5\/17 - 58*o**4\/17 + 192*o**3\/17.\nAnswer: -2*o**3*(o - 3)*(o + 32)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 30, 153, 400, 813, 1434?\nAnswer: 2305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42512 + -214?\nAnswer: -43130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 704 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qgqegegqgqggqeqqege. What is prob of sequence qgeg?\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -12*m**2 - 13*m + 102. Let q(k) = -19*k**2 - 18*k + 154. Let h(f) = 5*q(f) - 8*r(f). Calculate h(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -3\/5, -0.1, 1, 0.5, 24.\nAnswer: -3\/5, -2\/5, -0.1, 0.5, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)*-1*-2 + sqrt(30)\/sqrt(3)*-2)\/((sqrt(16)\/sqrt(2)*5)\/(-6*(-1*sqrt(4) + sqrt(4)) + sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1.8*-68.29\nAnswer: -122.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, s: 1, e: 1, j: 1}. Give prob of sequence rjs.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -1\/7 (c) 4\/11 (d) 5 (e) 0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 13167619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7.78+15\nAnswer: 7.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -15*f**3 - 568*f**2 + 76*f + 41. What is i(-38)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5210642 - 234?\nAnswer: -5211206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 10*c. Let d(a) = 1266*a**2. Give t(d(s)).\nAnswer: 12660*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -0.01556.\nAnswer: 0.09336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 299082 and 219618.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4*s - 10 = -2, 3*r + 8 = 4*s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q**2 + 44*q - 4. Let h be z(7). Suppose 59 + 5 = 4*a. Let m = a - h. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 4, 9, -3, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v - 7*v - 7*v - 9*v + 25*v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, k: 1, s: 5, r: 1, e: 3}. Give prob of picking 2 g.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19\/2, -1, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*j + 548, -l - 268 = -3*l - j. Suppose -3*p = -4*s + 78, -4*p + 0*s = 4*s + l. Let x = p + 50. Calculate the lowest common multiple of 4 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144 - 11*r + 22 - 143*r + 120 - 19*r.\nAnswer: -173*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 + -90. Suppose -14 = -r - j*l, 5 - 8 = -l. Solve -2*a = 2*v, -3*v = 4*a - 1 - r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -4364\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v = 24*v - 6. Solve -2*q + o = -4*o + 10, v*q + 5*o = 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -114, -429, -1166, -2535, -4746, -8009?\n\"Answer: -35*w**3 - w**2 - 67*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-266))\/((-6)\/(-64)*13\/((-1872)\/64)).\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/3 and 53\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2837534 by 406.\nAnswer: -6989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 6*(23 + -17).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o = 3227 + 2247. Calculate the highest common factor of o and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33456115 or -33456107?\nAnswer: -33456115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 0.2. Let k = 2 + -7. Let j = k - -3. Which is greater: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, h: 1, v: 4}. What is prob of sequence hvv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-597)\/597)\/(3\/(-12)*-1*4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 43, 84, 151, 250?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -9. Let t(y) = 2*y**3 - 5*y**2 + y + 4. List the prime factors of t(n).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -0.5, 3, 283, -9.1971?\nAnswer: -9.1971","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 12. Suppose 2*j - 10 = -2. Suppose 4*y + 4*p = 444, l*y - j*p + p = 202. What are the prime factors of y?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 12*f**2 + 19*f - 18. Let j be g(14). Let p(d) = -206*d**2 - d - 1. Let x be p(-1). Let t = j - x. Is t a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2673152\/5621 + 3329\/7. Let q = -38579\/5621 + n. Is q less than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64989, 64613, 64237, 63861, 63485?\nAnswer: 63109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 370 + 334. Let h be (-5)\/(-1) + -1 + -2. Suppose 5*o - 104 = -2*j, 0 = h*j - 4*j - 6. Calculate the remainder when o is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142 + -143. Suppose -2*u + 2 = -k + u, -2*u - 1 = -3*k. Put t, 5, k in increasing order.\nAnswer: t, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 435 and 235857.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 456304 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -69*m**3 - 3*m**2 - 3*m - 157. Let s(t) = -t**2 - t + 1. Let y(j) = o(j) - 3*s(j). Find the first derivative of y(p) wrt p.\nAnswer: -207*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001162 rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 + 9*z + 1. Let u be t(-7). Let x = u + -16. Suppose 29 = -2*o + x. Calculate the remainder when 58 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -351.4 + -96.8\nAnswer: -448.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**2 - 7252 + 7252 - 25*r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -190 + 185. Let k(j) = j - 1. Let y(x) = -9*x + 4. Let h(s) = -16*s + 9. Let q(l) = -3*h(l) + 5*y(l). Give o*k(b) + q(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 76137177 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -12. Solve -2*c - 4 = -i, -i + s = -5*c + c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3141 + -2225. Suppose -3*r - b = -978 - o, b = 4. Suppose 2*f = -4*f + r. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 72*g**2 - 11*g + 50. List the prime factors of y(4).\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.26401 millilitres to litres.\nAnswer: 0.06126401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*g + 6. What is the remainder when 6\/((-3 + g)\/(-8)) is divided by ((-1)\/2)\/((-1)\/26)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29690 to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 10:44 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 338541257781?\nAnswer: 338541257785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 481*r**4\/2 - 5*r**3\/6 - 1951*r - 2. Find the second derivative of u(p) wrt p.\nAnswer: 5772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x - 195 = 113. Let d = -16 - x. What is the remainder when 82 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 8*o**2 + 2*o - 7. Is 9 a factor of a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21445 (base 6) in base 2?\nAnswer: -101110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 925 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: Is 0 at least 307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - c - 21. Determine v(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 4*y**2 - 7*y - 5. Let u be p(-5). Suppose 29 = 5*i - z, -2*z + 4*z + 13 = i. Solve u*w + i - 25 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.15 in -1\/4, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*o - 12*o - 496. Suppose o*r - 61*r - 174 = 0. List the prime factors of r.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1874?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -295 - -324. Solve 6*z - 1 - g = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194134 - 423743 = 1874*z + 3503*z + 286583 for z.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 772040 = -37*r + 771485 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 283*u**4\/4 + u**3\/3 - 5*u**2\/2 + 6*u - 27. What is the hundreds digit of s(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxffxaco. Give prob of picking 1 a and 1 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.354 + -2.124. Round w to one dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**29\/(c\/((c\/c**1)\/c))**10 assuming c is positive.\nAnswer: c**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17622 + 5368 = 514*u + 91*u for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0022 and 3.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 10 (c) -1\/2 (d) -2 (e) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - sqrt(77)*4)\/sqrt(11) - sqrt(63)\/sqrt(9)*6.\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(z**(1\/2)\/z*z)*z)*z)**25*(z\/(z\/z**0))**(-4\/21))**(1\/44) assuming z is positive.\nAnswer: z**(-25\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 0.1. Let y = -2.594789 - -2.3948. Let v = y + t. What is v rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/98, 3\/7, -0.3, -0.05, 0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 208, 308?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001734162 to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/327 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.6 take away 1.07?\nAnswer: 55.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-2) - (-12 - -21 - 11). Sort 26, 1, p in decreasing order.\nAnswer: 26, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6787 + 6789. Let k(z) = -z**3 + 2*z - 1. Let s be k(-2). Solve 26 = -3*n - 0*n + 4*m, s*m - 19 = b*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 8*w - 24. Let u be -1 - (w - (-3 - -1)). Find x, given that -2\/5*x**u - 2\/5*x**2 + 2\/5*x + 2\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 405, 810, 1221, 1638, 2061?\n\"Answer: 3*d**2 + 396*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(1\/49))\/(((c*c**(-15)*c)\/c)\/c))\/(c\/(c*(c\/c**(2\/59))\/c))**(-2\/29) assuming c is positive.\nAnswer: c**(1423748\/83839)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141372 divided by 308.\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -397*k**5\/10 - 223*k**2\/2 + 835*k. What is the first derivative of h(n) wrt n?\nAnswer: -2382*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.49 + -10.49. What is the nearest to m in 5, 1, 2\/17, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxxk when four letters picked without replacement from kxkkklvxlvxxxlk.\nAnswer: 5\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12951 + 26453 - 2146 + 31747 - 6299 + 22822)*(-3*q + 2*q - q) to the form g*q + u and give g.\nAnswer: -119252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22934773 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c + 7*c = c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 14 = -h. Suppose 5*p + 0*s - 12 = -4*s, -3*p = -s - h. Solve 4*q = 3*q - 3*y - 3, -p*q + 5*y + 5 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3464)\/(-120) - 8\/(-60). Solve -4*i - 3*z - p = 0, 0*z - 23 = 4*i + z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34584 by -11528.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 184\/18 - 18\/81. Solve 5*i = -4*y + 28, -4*i + k = -6*y + 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*g - 2*h + 942 = -4*h, 2*h - 33 = 70*g - 73*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 833 - 833.7. Is 6 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124\/93 + (-4)\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {z: 3, a: 2, y: 1, o: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18*(30\/(-9) - -3). Let j be (1 + 9\/m)*2 + 3. What is the derivative of -j + 36 - 9*d - 12*d wrt d?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a century?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 8*u**2 - 6*u - 5. Suppose 5*z - 30 = 5. Let k be m(z). What is the units digit of k*(-9)\/6*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/35 and 111\/830?\nAnswer: 5810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**3 + 941*f**2\/2 - 1928*f - 5593. Differentiate c(d) wrt d.\nAnswer: -6*d + 941","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56\/10394281 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/(-6) + (-3)\/9. Suppose 0 = c + 2*c - 9. Solve c*u - f = -0*k - 2*k, 3*u + 4*k = 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*w - 32*w - 14*w)*(-2835 - 2673 + 4362) to the form s + c*w and give c.\nAnswer: 38964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 2. Determine m(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 3*x**2 + x. What are the prime factors of u(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d. Let t(q) be the first derivative of 1\/2*q**3 + 8 + 0*q**2 + 3*q. Let y(h) be the first derivative of t(h). Calculate o(y(w)).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 871021.9 nanometers to millimeters.\nAnswer: 0.8710219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 14) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**3 - v**2 + v**2)*(-2 + 0 + 0)*(0 - 1 + 0)*(3*v + v + v) in the form f*v**3 + q*v**2 + n + a*v**4 + c*v and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f. Let c(z) = -z**3 + 3*z**2 + 4*z + 1. Let j be c(4). Let m(y) = -j + 2*y**2 + 1 - 4*y**2. Give m(h(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -102\/253 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 10:33 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-8)*x)*x)\/x)\/x**(1\/3))\/(x\/x**8)**(-12) assuming x is positive.\nAnswer: x**(-229\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z**3 - 13*z**3 - 3*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-five halves of a second?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 47048, 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 7*w = -4*w - 27, -2*a = -3*w - 9. What is the third derivative of y**3 + 59*y**2 - 2489*y**a + 2477*y**6 + 0*y**3 wrt y?\nAnswer: -1440*y**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 - 44. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3625*d**2*i**2*v**2 - 6*d**2*i*v**2 - 2*d**2*v**2 + 163*d**2*v + 4*d*i*v**2 + 42*d*v - 662*i**2*v**2 - i*v + 2*v**2 wrt i.\nAnswer: -7250*d**2*v**2 - 1324*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 51. Let s be ((-27)\/(9\/3))\/i. Suppose 3*u - 4*r - 32 = u, r + 58 = s*u. Calculate the least common multiple of 16 and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**11\/s**(4\/9))**(-24\/5))**32 assuming s is positive.\nAnswer: s**(-4864\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9492417 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 27 + 25)*(4 - 1 - 2)*(-2*q - 2*q + 7*q) + q + q - q + 0*q + 3*q - q + (q + 3*q - 3*q)*(-1 + 1 + 2).\nAnswer: 173*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*s = 5016, 1083*j + s - 2509 = 1082*j. Calculate the remainder when j is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1418976cm to kilometers.\nAnswer: 0.000001418976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 3564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 12:53 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 65?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -768 by -96.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gppp when four letters picked without replacement from gpgggpggggpggggggpg?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifxvxvxyiivvxfxxxid. What is prob of sequence vii?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 24*i + 44. Let f be y(10). Solve f*v = -0*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -132 + 5502?\nAnswer: 5330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 minus -2016746730907?\nAnswer: 2016746730905.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(51\/(-48) + 1). What is the greatest common divisor of b and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 4*o**2 + 210*o + 1192. Let g be v(-6). Solve 2*s = i + 4*s + 15, g*i = 4*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/59 or 458.15?\nAnswer: 458.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 238.9954*-3\nAnswer: -716.9862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o + 8 - 92. Calculate the highest common divisor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 11) to base 15\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 2*l - 13 + 7, 5*l - 2 = 3*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 3. Suppose 0 = -2*w - 3*w + 35. Let n(m) = 5*m + 9. Let k(v) = w*z(v) - 2*n(v). Let x be 4\/8*(-4 + 0). Give k(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 4:09 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (264\/(-10))\/(-4) + -6. Which is the second biggest value? (a) 0.2 (b) -1 (c) x (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -354369042 less than -24925.5?\nAnswer: 354344116.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352242*s + 3*s**2 - 352242*s + 10*s**3 - 50.\nAnswer: 10*s**3 + 3*s**2 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 660352 less than 660353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5 + 84 + 16 - 114 + a. Let f = -63 + 81. What is u(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 - 13\/3. What is the smallest value in 0, 0.01, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 523304045 and 190292380?\nAnswer: 2093216180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 6\/23, 4 in decreasing order.\nAnswer: 4, 6\/23, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, f: 2, y: 2, b: 2, n: 3, q: 4}. What is prob of picking 2 b and 1 q?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, z: 6, a: 8}. Give prob of picking 3 a.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 2*n - 2, n - 5*x = -9*x + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**5\/15 + g**4\/12 - g**3 + 2*g**2. Let w = 34 - 29. Does 13 divide s(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/259655 and -109\/7761324.\nAnswer: 426872820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153370 is divided by 85.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29092, -29480, -29868, -30256?\nAnswer: -30644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -29*w**3 - 6*w**2 + 6*w + 6. Let j(t) = 29*t**3 + 7*t**2 - 7*t - 7. Let l be 1\/6 - (-403)\/(-186) - 4. Determine l*j(b) - 7*g(b).\nAnswer: 29*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6863?\nAnswer: 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (114\/(-247))\/((-1)\/13). Let j(o) be the first derivative of 5 + 1\/2*o**2 + 2*o. What is j(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000999128 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4))\/(1\/74). Let z be 1713\/27 - -2 - (-8)\/(-18). Let g = u + z. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 0.3, 1\/2, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76564919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/5 (b) -3\/2 (c) 111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - m = -0*z - 1, -3*m - 3 = 4*z. Let a(k) = -k + z*k - 3 + 2 - k**2. Suppose -4*q + 29 = 37. Give a(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2. Suppose -146 = -t + 3*z, 0 = -10*z + 5*z + 10. Let u(k) = -152*k. Let n be u(-1). Let p(h) = t - n - 3*h**2. What is s(p(j))?\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11650\/219 at most 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 161\/4 - 40. What is the closest to 1\/4 in u, 0, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 584 - 601. Let f be 1\/(-2)*k\/51. Let v be 6\/9*2\/(-4). Which is the closest to f? (a) -1 (b) -0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 128*u**2. Let q(v) = -v - 182. What is b(q(z))?\nAnswer: 128*z**2 + 46592*z + 4239872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 686?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9115284 divided by 97?\nAnswer: -93972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 21.8. Let r = -0.5 + v. What is the closest to -0.2 in -2, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 117921, 1.38, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*d - 73 + 10. Put -4, d, 2 in increasing order.\nAnswer: -4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6306, -12610, -18914, -25218, -31522?\nAnswer: -37826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/1970376 and 143\/154280.\nAnswer: 68963160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 190\/(-285) + 11\/3. Let n be (9\/24)\/(3\/2). What is the second smallest value in n, 4\/5, -5\/7, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-22) - 24300\/(-3564). Solve -k = 4*q + r, -9 = -2*q + 6*q - k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.098 - 0.198. Which is greater: -42 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 680107, 680097, 680087, 680077, 680067, 680057?\n\"Answer: -10*v + 680117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98 - -93. Let k be ((-4)\/h)\/(28\/(-70)). Let b(p) = -p + 9. Let x(f) = -3*f + 37. Let y(g) = k*x(g) + 9*b(g). What is y(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/6*1)\/(12\/56)*(-201879)\/(-7477).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:10 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-54))\/(167\/1002)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 2)*((-210)\/(-60) + (-91)\/(-52))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736)*-1 + 1 + sqrt(2736) - (2*sqrt(19) + -5 - (sqrt(19) + 1 + sqrt(171)))**2.\nAnswer: -111 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45923 greater than or equal to 45870?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2\/5, 2, -1\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 72 + 342*g - 342*g - 146*g**2.\nAnswer: -146*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2221, -4442, -6663, -8884, -11105, -13326?\n\"Answer: -2221*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 w, and 1 y when four letters picked without replacement from {x: 1, y: 9, w: 4, m: 4, d: 1}.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 460, 453, 446, 439, 432?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.082 in -2, -17\/5, 1, -0.2, -9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from rddrddrddddd.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28701 is divided by 4079?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u - 295 - 105 - 5*u + 400 + 17*u.\nAnswer: 23*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10485 is divided by 549.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2204 is divided by 147.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**3 + 20*a**3 + 473 + 13*a**3.\nAnswer: 22*a**3 + 473","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2426*b - 181. Is u(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10.296 from 173927.\nAnswer: 173937.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (24\/42)\/(((-88)\/(-231))\/(-4))*12\/(-1200)\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1188287699?\nAnswer: 47, 25282717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 32*b - 886 + 25 = 0 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7796 or 7801?\nAnswer: 7796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand w + 2 - 2 + (1 - 3 + 0)*(0*w + 0*w - 2*w) + (4 + 0 + 0)*(2*w + 4 - 4).\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/((58 - 2)\/(-4)). Which is the third biggest value? (a) -5 (b) -0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3)\/(714\/(-562)) + (-484)\/(-1694)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 5, -1\/34, -0.4?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (4 - 3) + -3. Suppose 4 = -2*x - 2*x + 4*y, 2*y = 4*x - 2. Suppose m*r - x = r. Which is bigger: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzz. What is prob of picking 4 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1529, 3057, 4585?\n\"Answer: 1528*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d + 10. Let j(z) = z + 1. Let g be 6\/4*6 + -13. What is g*j(f) + w(f)?\nAnswer: -f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -f - 120, 3*o = -2*f - 252 + 19. Which is the second smallest value? (a) f (b) 0.3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237958*c - 238057*c = -4257 for c.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from rrccchsscssssrh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 3:46 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8682 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 3*u - 5*r + 9*r, 2*u + 3*r = -48. Let d(z) = z**2 + 22*z + 2. Calculate d(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2383013 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 4:18 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46900 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 1414, 3846, 7364, 11968, 17658?\nAnswer: 24434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.1 (b) -1\/4 (c) -3 (d) -0.1 (e) 77\/4 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.52784 days to minutes.\nAnswer: 16600.0896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (18 + -21) - 12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from ddxxddxxddndjddxd?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 - 38. Suppose l*o - 60 = 50. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72888*0.06.\nAnswer: 4373.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v. Let t(p) = -p**2 + 1049 - 1049 + 56*p**2. Give o(t(j)).\nAnswer: 385*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (6 + (0 - -4 - 13))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.2 + -0.2. Let c = -3.8 + z. What is the nearest to -1 in 1\/4, -1\/7, c?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 2) in base 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282367?\nAnswer: 41, 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 90738.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = -4*u. Let q be (u - 1)*29\/(-58). Solve q*b + 30 = -5*t, -2*t - t = 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.6 - 23.6. Let r = -0.11 - -4.11. Which is the closest to 2\/7? (a) r (b) -12 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - 132\/28 - (-224)\/(-441). Let s = -0.3 + 0.5. Which is the nearest to 1? (a) s (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12 - 3 = 0. Let i(j) = w*j**3 - 5*j**2 - 3*j**3 + j**3 + j - 6 + 2*j. Is i(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 35\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 462532657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/14 - (-5 + 168\/49). Suppose -3*c + 1 + 5 = 0. Suppose 0 = 4*k, c*y + v*k + 0*k + 23800 = 0. What is y rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 35, -5, 0.5, 4, -4\/7, -1?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/1*(3 - 19). Suppose -3*n + n = y - 72, -4*n + 2*y = -u. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*w**2 + 1841*w**2 - 459*w**2 - 460*w**2 - 461*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (5 - 5 - -12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 + 30. Let l = 15.35 + t. Let h = l - -0.25. Which is the second smallest value? (a) h (b) 1\/2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbq when three letters picked without replacement from jbcjbqxcjbb?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*w - 2*t, -6*t = 4*w - t + 71. Let x(u) = u**3 + 13*u**2 - 15*u - 2. Let h be x(w). Solve -3*k + h = -6*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*11\/14905)\/(((-65)\/(-13))\/5).\nAnswer: 2\/271","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -33. Solve -8*r + l*r + 4 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = 13*b - 9500. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/((-32)\/(-256))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165979 and 2607.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-135)\/42*((-106)\/12 - -3) and 117\/6 + 2 - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 669451135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 8:16 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(12)\/(sqrt(20)\/sqrt(5) + sqrt(4)) - sqrt(3))**2*-6.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -21 (b) -1 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.27 - -1.27. Let b = x + -0.68. What is b rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30125 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 516146984 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 5*m**2 + 2*m + 6. Let u = 2 + 2. Suppose 0 = u*r - 7*r - 15. Let x be p(r). Put x, -3, 4 in decreasing order.\nAnswer: 4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5) + 47\/5. Suppose -2 = s - i. Calculate the lowest common multiple of 5 and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (sqrt(2299)*-3 - (-1 + (sqrt(19) - (sqrt(19) + -1)))) + -2).\nAnswer: -4 + 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 + -54. Sort y, 5, 0 in increasing order.\nAnswer: 0, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o - 132*o**2 - 112*o**2 + 249*o**2.\nAnswer: 5*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w + 1. Calculate a(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(8\/(-6))\/1. Suppose s*x - 52 - 1 = -q, 3*q - 16 = -x. Let i be 13\/2*(-6)\/(-3). Calculate the greatest common factor of i and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*a + 104, 0 = -5*i - a - 20 + 143. Calculate the remainder when (-1)\/(1\/(-1)) + 73 is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 1, -7*a + 9 = -2*p - 4*a for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -23 (b) 44\/5 (c) -0.09 (d) -4.78 (e) -3 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 319 - 959\/3. What is the third biggest value in 2\/35, -0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 10*i + 10. Let h be u(9). Suppose -3*m + 2*l + h = 0, 5*m = 2*m + 5*l - 2. Solve m + 11 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 950 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 67950*d.\nAnswer: -5*d*(d + 13590)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-9 + -1)) + -15 + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0178668 + 0.031652. What is h rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2592.297 nanoseconds?\nAnswer: 0.0000000000300034375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 5*f + 20 = -51871*l + 51869*l, 0 = -4*f - 5*l + 49 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44.81 + 45. Let i = -50959.2 + 50959. Is p != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4403*p - 61660. Determine n(-14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + w - w + 12 = 0, 27*c - w = -146*c + 689 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 721.442l in millilitres?\nAnswer: 721442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*j - 8. Let b be -2 + (j - 1) - -177. Suppose x = 6*x - b. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -134 + 140. Suppose -5*s = -h + 5*h + 5, 2*s - 26 = 4*h. Suppose -f = -2 - s. Solve -4*o - b = -a - 0, f = a - 3*o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*n + 67 = 0, -187*r = -190*r - 4*n + 6*n + 52 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-16)*(-13 + 7 - -50). Let w(a) = 13*a**2 - 2. Let j(p) = 66*p**2 - 11. Determine k*w(n) + 2*j(n).\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 379 + -265. Suppose k - 1070 = 3*q - w, 0 = -q - 1. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 16*t = 3, 0 = -3*w + 2*t - 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, s: 5, d: 7, u: 2, c: 3}. What is prob of sequence dss?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/187791 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 2:04 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2112 - 4\/8*-2. Let j = p + 886. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -10*v**3 + 4*v**2 + 4*v + 4. Let j(w) = 11*w**3 - 5*w**2 - 4*w - 5. Let h(x) = -5*d(x) - 4*j(x). Find the second derivative of h(s) wrt s.\nAnswer: 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -495\/17 - -3977\/136. What is the nearest to -0.04 in j, 32, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 48*z. Let n(m) = 6*m - 4. Let p(w) = -58 - 7*w + 37 + 27. Let h(t) = 3*n(t) + 2*p(t). Give i(h(k)).\nAnswer: 192*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 41. Let q(v) = -19. Let x(j) = 6*g(j) + 13*q(j). Let y(d) be the first derivative of 1\/3*d**3 + 4 - 2*d + 0*d**2. What is -x(z) + y(z)?\nAnswer: z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**4\/12 + 4*i**3\/3 + 10*i**2 - 9*i. Let w be y(-4). Suppose -w*f - f = 58500. What is f rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -922882 divided by -20.\nAnswer: 461441\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 268.1175l in millilitres?\nAnswer: 268117.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 27 = -t, -i - 15 = -4*i. Put -516, 3, t in ascending order.\nAnswer: -516, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 greater than 75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239726029 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -2\/11, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-40)*(1 - -14). Let j(y) = -4*y + 12*y - x*y + 0*y. Let d(r) = 1. Let s(a) = 2*a - 4. Let n(p) = -20*d(p) - 5*s(p). Calculate n(j(t)).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2837, -0.12, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/4)\/((-12)\/4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 6 + 5 - 1169*z**2 + 1125*z**2 to the form n*z + y + s*z**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-3) - (1 - 1). Let s = -7 - -10. Let i = 133.306 + -131.306. Put q, s, i in decreasing order.\nAnswer: q, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f. Let m(o) = 6*o + 24. Give n(m(q)).\nAnswer: 48*q + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -4, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 756 + -755.083. Let q = -2.085 - g. Let v = q - -3. Round v to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -240*q + 399*q - 477 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 6:18 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -32258562 and -0.188.\nAnswer: -32258562.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*u - 31*u - 9*u)*(-5 - 2 - 2).\nAnswer: 252*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.226 + 19.626. What is the closest to -0.1 in 0.08, v, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*x, -2*x = -2*c - 7*x - 6. Let z be (9*c)\/(2\/3). What is the greatest common divisor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 754 - 745. Let h(p) = -2*p**2 + 18*p + 38. List the prime factors of h(r).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(3729\/15 + (-1 - 0)). Suppose x - 3186 = 4*u - b, -5*u - 9725 = -5*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 - 2*d**2 + 3*d + 3. Let y be t(-2). Suppose -y*a = -a. Suppose -b + 0*o - o + 50 = 0, 5*b - 5*o - 290 = a. Does 27 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89\/5 - -18. Let p = -1716 + 1716.5. What is the closest to -4 in o, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15369643 + 2*d**2 - 15369643.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.3 - -9018?\nAnswer: 8988.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -556.75881 rounded to 1 decimal place?\nAnswer: -556.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1252\/89, -3, -26, 1\/5 in descending order.\nAnswer: 1252\/89, 1\/5, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -69*t**2 - 276*t + 5. Let g be y(-4). Solve 145*z - 143*z = -4*j + 28, -g*z + 15 = -j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3074 + -2625. Is j 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 1300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -42)*(-4)\/(-4). Calculate the highest common factor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 7 = -2. Let h(v) = -2*v**3 - 3*v**2 - v - 2. Let k be h(-2). Which is the smallest value? (a) k (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 12*q - 16*q - 12, 11*q + 22 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2638, 2, -0.3, -15, 17, 0.01 in descending order.\nAnswer: 17, 2, 0.01, -0.3, -15, -2638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 356045384*b**2 - 6482*b + 16746.\nAnswer: 712090768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 55 - -1?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6746*m - 14 + 326 = -6694*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17856 and 939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -727*o - 9201. Let a be q(-23). Calculate the greatest common factor of 96 and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -6. Let h(u) be the third derivative of u**6\/10 + u**5\/30 - u**4\/24 - 2*u**2. Is h(d) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-3 + -1)**2 + -3*1*(sqrt(48))**2.\nAnswer: 48*sqrt(3) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20 + (20\/(-5))\/(-2) - -1. Solve -20*g - 15 = -q*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 15 = 4*w - 8, 0 = 2*n - 5*w. Suppose u + 92 = n*u. Suppose 0*o = -o + u. Does 23 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/1 + (-3)\/(-1). Let r = 12057 - 84397\/7. Determine q, given that -4\/7*q - r*q**2 + 2\/7*q**u + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 + -1 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 70 + 0*d + 0*d - 2*d**4 - 37*d**2 - 2*d**3 + 64*d**2 - 30*d**2 in the form u*d + q*d**2 + s*d**4 + g*d**3 + m and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 317d - 1ab3?\nAnswer: 14aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.3066 - -2.5066. Let n = -8.2 + 8. What is the nearest to -1 in -15, n, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/5 + 32523306*n\/5 - 6504661 = 0. What is n?\nAnswer: 1, 32523305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 8:33 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**5 - 6*j**5 + 3*j**5)*(-2 + 1 + 2) - 11*j**5 + 34 - 34.\nAnswer: -14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 694 + -496. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -994 - -1036. Solve -k + n = 46 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-189)\/49 - (-18)\/21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 2 - 2 + 63*t to k*t + m and give k.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 4429?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = -2*k - a, 4*a + 15 = 3*k. Suppose -49 = -k*y + 11. Calculate the common denominator of (y\/(-64))\/(3\/(-142)) and -21\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.068 - -2.008. Is -0.034 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -404, -1200, -2736, -5258, -9012?\nAnswer: -14244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3173 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -1, 62, 1.\nAnswer: -7, -1, 1, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 0.1, 0.06, 0.037, 4\/7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 147, 597, 1373, 2499, 3999, 5897, 8217, 10983?\n\"Answer: 4*m**3 + 139*m**2 + 5*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2252 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 1 - 1)*(-5 + 2 + 4)*(-2 - 2 + 0*r - r).\nAnswer: 2*r**4 + 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5817937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -2, 5, -4, 0.8 in ascending order.\nAnswer: -4, -2, -3\/4, 0.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 6. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 i, and 1 f when three letters picked without replacement from {v: 4, f: 1, w: 1, i: 1, r: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 28a7 (base 12) to base 15\nAnswer: 160a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 281?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 1, -2.1, 1\/316?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 9*v - 6. Let k be t(9). Let f = k - -6. Find the second derivative of 2*u**4 + f*u**2 + 4*u**2 - 2*u - 4*u**2 wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4405234 - -3?\nAnswer: -4405231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 y when three letters picked without replacement from qxxqqqyxqqxxxxqxxxxx?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -731*g**7\/7 - 287*g**3\/2 + 4404*g. Find the second derivative of a(l) wrt l.\nAnswer: -87720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-128)\/(-6)*(-162)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 2:30 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 25*b**2 - 24*b + 29. Is o(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20735035.\nAnswer: 5, 4147007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 0*a + 5231 = 3*a + 5243, -3*i = -4*a - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 2\/15, 102, -0.09 in descending order.\nAnswer: 102, 5, 2\/15, -0.09, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 6. Suppose -f*x + x + 2 = 3*m, 3*m + 5*x + 14 = 0. Suppose 1 = 4*g - 7. Solve -3 = -g*v - h, -3*v - v + 10 = -m*h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -197 - 163. Let g = p - -78. Let r(c) = c**2 - 9*c + 9. Give r(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**6*h**(-1\/3)\/h*h**9*h**(-9) assuming h is positive.\nAnswer: h**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 6:46 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 2156119603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111*w**3 - 110*w**2 + 1 + 108*w**3 - 1 to o + k*w**2 + z*w**3 + d*w and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**3\/3 - 7*v**2\/2 + 6*v - 5. Let d be x(7). Suppose -d*q + 24 = -3*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -16*r + 481. Calculate w(-2).\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/55*(30 + 0). Let t = -4 - h. Let g(i) = -i**2 + 2*i. Let p be g(2). Solve p*s + 4*s = t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 607, 5295, 18013, 42775, 83595?\n\"Answer: 669*q**3 + q**2 + 2*q - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 + 22*s - 4. What is c(12)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**4\/2 - 35479*z**3 + 1258830397*z**2\/2 - 1258723962*z + 629344242 = 0?\nAnswer: 1, 35478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1.13915*-22\nAnswer: -25.0613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 167*i + 182*i + 3252 - 111 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -10) + 6 + (15 - (24 - 8))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17.12 * 5225\nAnswer: 89452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-4))\/((-345)\/(-460))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2368305 is divided by 646.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 2:01 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/3 (b) 0.3 (c) -15 (d) 1\/7 (e) 0 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/75 + 502\/75. Solve -p*o + 50\/3*o**2 + 2\/3 = 0.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(272)*4 + sqrt(272) + 3 + 2*sqrt(272))**2 + ((sqrt(272)*2)**2 + 2 - ((sqrt(272)*-1 - sqrt(272))**2 + 4)))*1.\nAnswer: -24*sqrt(17) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0 (b) 1\/3 (c) 0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**4\/4 + 2*s**3 - 3*s**2 + 6*s + 34. Let c(f) = f - 12. Let o be c(5). Calculate u(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 53 = 5*b, 1723 - 1771 = -3*b - 2*o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 111734390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 845, -0.2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-115 + 45 - -106) + 0 + 4 + -1\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 15 = 0, 5*x - 3*f + 5 = -5*f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5*z**5 - 21\/5*z**4 + 0 + 3\/5*z**2 + 0*z - 6\/5*z**3.\nAnswer: -3*z**2*(z + 1)**2*(4*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t. Let k(f) = 24*f + 235*f**2 + 21*f + 18*f - 64*f. Calculate q(k(s)).\nAnswer: -470*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.108820405 to 5 decimal places.\nAnswer: -0.10882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + sqrt(1573) + 2 - (-2 + (-1*sqrt(1300) - sqrt(1300) - sqrt(1872)*2)).\nAnswer: 9 + 55*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4*j + 16 = 0, -363*i = -362*i + 2*j - 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3) + 1\/(-3). Let v = -0.27 + 15.27. Let l = v - 14.7. What is the smallest value in -3, f, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 3. Let l be ((-14 - 3) + 6)*-1. Suppose -15*g + l*g + 72 = 0. What is the remainder when g is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*s - 3 + (-4 - 2*s + 4)*(2 + 0 - 3) + 3*s + 4*s - 3*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*l + 11 = 0, 3*i - 11 = -0*l + l. Solve i*w + w + 15 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6916 and 322.\nAnswer: 159068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 8:02 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -13277.3?\nAnswer: 13277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 560 - 1083 + 656 - 4*f. Does 40 divide q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45ba6c - -5?\nAnswer: 45ba73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one thirds of a decade in months?\nAnswer: 2440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82075992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840 - 698.124298067.\nAnswer: 141.875701933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 16*c - 30 = -17*c, 4*y + 24*c + 148 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*y + 150 = 502*y - 262*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 133*y - 10. Let u(n) = n**2 - 9746*n + 2. What is f(u(l))?\nAnswer: 133*l**2 - 1296218*l + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrbrbrribrrrvrivrr. Give prob of picking 2 b and 2 i.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74533\/31920 + -39\/2128. Find the common denominator of m and 39\/1700.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 14) in base 8?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*-5*(sqrt(242) + (-4*(1 + sqrt(242)) + sqrt(242))**2 + 0) + -4)*5.\nAnswer: 20625*sqrt(2) + 164610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 + 131*k + 29. Calculate f(-26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -869, -1737, -2605?\n\"Answer: -868*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 30*h - 173. What is b(22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 21*a - 28*a. Let u(g) = 44*g**4 + 10*g**3 + 58. Let s(q) = 15*q**4 + 3*q**3 + 19. Let k(d) = a*u(d) + 20*s(d). Differentiate k(r) wrt r.\nAnswer: 144*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 5, 1, 13961, -16, -12 in decreasing order.\nAnswer: 13961, 5, 3, 1, -2, -12, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18446675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 915, 1282, 1649, 2016?\nAnswer: 2383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-5) + 0 + 2 + -3. Let a be (-2)\/((32\/44)\/v). Solve 0 = -m + 5*m - 4*g - 36, -4*m - g = -a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(-385)*-3*1*1\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*g = -29, 28615 = 4*o + 5*g - 28609 + 57275 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -60*t**3 + 21*t**2 - 21*t - 21. Let d(m) = 6*m**3 - 2*m**2 + 2*m + 2. Calculate 4*b(g) + 42*d(g).\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-5))\/(78\/910). Solve 18*l - 25*l + t = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1271 and 4100?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 7 - 7) + -1 + 0 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28\/(-12)*(-1*126)\/6. Calculate the greatest common divisor of 8281 and r.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-10 - -13) - -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**3 + 48832*x**2 + 341980*x + 488600 = 0.\nAnswer: -5, -2, 12215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g + 39. Let j(n) = 2*n**2. Determine j(u(i)).\nAnswer: 8*i**2 - 312*i + 3042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from bbzbbbazbbbkb.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2083963 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -10*i - 3. Let t(x) = -715*x. Calculate t(m(a)).\nAnswer: 7150*a + 2145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 564757517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1204 = m - 4*u, -2*u + 614 = 2*m. What are the prime factors of 1 + (m - (1 + -3 - -2))?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/4)*q**9)\/((q**(-23)\/q*q*q)\/(q\/(q**17*q))))**(6\/19) assuming q is positive.\nAnswer: q**(183\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 9:31 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.64 * 56.9\nAnswer: 93.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c - 29*c + 15*c + 9*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*(-15)\/(-10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 - 3*w**3 + 4*w**3)*(-2*w + w - w)*(-5 - 2 + 3).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*q - 35. Suppose x - 4 = -2*t, -4*x = 4*t - 9 - 3. Determine c, given that -2\/3*c**q - 4\/3*c + 0 + 2\/3*c**x + 2*c**3 - 2\/3*c**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40 - 17 + 104)*(1 + c - 1)*(-2*c**3 + 2*c**3 + 2*c**3) - 12*c**3 - 2*c**4 + 12*c**3 to the form t*c**3 + p*c**4 + h*c**2 + o + m*c and give p.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/2, -0.14, -3, 1\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*u = -412*u - 85*u - 78480 for u.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x + 88 = 0. Let s = 54 - x. Find the third derivative of -s*m**4 - 7*m**2 + 0*m**4 - 10*m**4 wrt m.\nAnswer: -480*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 12:00 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 - 5 - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*q**2 - 703 + 25*q**2 + 710 + 33*q**2 to a*q + d + m*q**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.3 (c) 2\/83 (d) 6513 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**5\/90 + o**4\/18 + o**3\/9 - 71*o**2\/2 + 176*o. Let t(f) be the first derivative of r(f). Factor t(x).\nAnswer: 2*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6) - (-9)\/(-27). Suppose -7*h - 12 = -3*h, z = 5*o - h + 142. Let q = -8 - o. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 11:24 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -13*u + 202. What is the highest common factor of 32 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**2\/7 + 384*o\/7 - 9280\/7 = 0. Calculate o.\nAnswer: -116, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 64213\nAnswer: -64211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.2, 4170335.\nAnswer: -0.2, 0.3, 4170335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328035, 328036, 328037, 328038, 328039, 328040?\nAnswer: 328041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 1. Determine h(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34\/9 in 1, -1, -1\/4, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 + 3 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2089794 to the power of 1\/2, to the nearest integer?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 + 43*s + 22. Let v be q(22). Let f(g) = -g**3 + 6*g**2. Let d be f(6). Solve 2*o - 6 + v = d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 1.45 (c) 331 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 117\/5 - (-8)\/(-20). Let t = 12 - j. Let v = t + 22. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*f - 60*f + 85*f)*(-3*f**2 + 2*f**2 + 2*f**2 + (-2*f**2 + 1 - 1)*(-2 + 1 + 0) + 0*f**2 + 0*f**2 - f**2 - 1 + 3*f**2 + 1).\nAnswer: -205*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (-2*sqrt(95) + sqrt(95))*-2 - 5*4*sqrt(95))\/(-5*(sqrt(60)\/sqrt(192) + sqrt(5))*5))**2.\nAnswer: 134064\/15625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 7. Suppose 0 = i*n + m - 183, 3*n + 2*m + 0*m - 114 = 0. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = 1302 - 67. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -319*l. Let g(b) = -763067*b. What is g(a(j))?\nAnswer: 243418373*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/10)\/(-10))\/(4\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 1. Let c(d) = -d + 2. Let w(g) = -c(g) - 2*l(g). Suppose -2*q + 23 = 2*z + z, 4*q = -4*z + 36. Is w(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -702 + -1245?\nAnswer: -2047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - 2 - (0 - 0). Let j be (-2 - -4) + 0 - b. Let i(y) = y**3 - 8*y**2 + y + 1. Let f be i(8). Solve 1 = j*w - f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -750\/11 (b) -5 (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 988712*p**2*r**2 - 448411*p**2*r wrt r?\nAnswer: 1977424*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 1\/6, -10, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, c: 6, r: 3, x: 1}. What is prob of picking 1 c and 1 m?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 188404?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - -6.08. Let i = 7 - 15. Let b = i + h. What is the biggest value in 4, b, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 5880302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, t: 2, b: 6, z: 6}. Give prob of picking 1 t and 1 b.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 9 - 24 = 0. Let j = 70 - 68. Suppose 10 = 2*q + j. What is the least common multiple of q and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313 = 155*s + 1237 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 3:50 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r\/r**(-1\/6))*r*((r*r**3\/r)\/r)\/r*(r**0)**(13\/6) assuming r is positive.\nAnswer: r**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.30637 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (7 - (-6 - -7 - -6) - -26) + 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 22 - 167\/70*f**5 - 76\/7*f**3 + 2*f - 1\/5*f**6 - 40\/7*f**2 - 59\/7*f**4. Find y such that i(y) = 0.\nAnswer: -5, -2, -2\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p + 0*p)*(82 + 378 - 114) + (-11 + 6 + 8)*(-p + 3*p + 0*p).\nAnswer: 698*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 18*5\/2. Let l be (-2 + -8)*9\/q. Factor 0*k + 4*k + 4 - 4*k + 2*k - l*k**2.\nAnswer: -2*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101111 - -1111010011101100?\nAnswer: 1111011010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7031?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21525.\nAnswer: 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 0*l + 1\/195*l**6 + 1\/39*l**3 + 5*l**2 + 1\/65*l**5 + 1\/1365*l**7 + 0 + 1\/39*l**4. Factor v(z).\nAnswer: 2*(z + 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 878, 820, 652, 314, -254, -1112, -2320?\n\"Answer: -10*a**3 + 5*a**2 - 3*a + 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(38)\/sqrt(2) + 0 + sqrt(19)*1.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.666 and 0.497811.\nAnswer: 1.163811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -40, -5, -3, -8, 549, 5.\nAnswer: -40, -8, -5, -3, 0, 5, 549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 225066, 450127, 675188, 900249, 1125310?\n\"Answer: 225061*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-13))**37*g**0\/((g*g**(-2))\/g) assuming g is positive.\nAnswer: g**(-479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 15064.\nAnswer: 60256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 84259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**3\/3 + 7*x**2 + 14*x. Let d be w(-9). What is the closest to -1 in 2\/5, -0.07, d?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112440, 224894, 337348?\nAnswer: 449802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 269134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 377450, 754901, 1132352, 1509803, 1887254?\n\"Answer: 377451*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - (-12 - (20 - 12))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -2\/7, 0.5, 10 in descending order.\nAnswer: 10, 0.5, 4\/9, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2370 + -2337. Solve h*l = 42 - 207 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2899150130 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13920201 to the power of 1\/3, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 126866138 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1547003816 + -0.1547. What is a rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2093 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(-4*(4*sqrt(76)*-5)\/(sqrt(324)*-5))**2.\nAnswer: -5188\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4\/6 - 98*x**3\/3 + 1063*x**2 - 5478*x + 15525\/2 = 0. What is x?\nAnswer: -225, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 582 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2134806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g + 3*v - 29, g = -5*v + 20. Suppose -g*u + u = -40. What is the greatest common divisor of 4 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -20, s - h = 1 - 0. Suppose -5*v + v + 16 = 0. Let q be v\/6*1*6\/(-4). Let z(i) = -i - 1. Let y(c) = 3*c**2 + 6*c + 2. What is q*y(r) + s*z(r)?\nAnswer: -3*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 29 + (-3 - -2) + -3. Solve 4*d + n = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 1240*v**3 + 7392*v**2 - 14752*v + 9824.\nAnswer: 2*(v - 614)*(v - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*c - 227*c + 111*c.\nAnswer: -23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 96 = 8. Suppose -n - 11 = -5*s. Solve -4*u - 5 = s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 + 37. Let t(f) = f**2 + 14*f + 37. Let x be t(-9). Let j be ((-56)\/448 + 3\/x)*-2. Sort 3, v, j, -4 in ascending order.\nAnswer: v, -4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -12*(-4)\/6 + 10577 + -1?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 14. Let g = 0 - 1. What is the second smallest value in x, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 25*u. Let t(j) = 349 + 3*j - 349. What is t(k(c))?\nAnswer: 75*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06976 and 2.\nAnswer: 2.06976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 6 + 255039*x**2 - 255050*x**2.\nAnswer: -11*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 + -93 - (4 - (-1 - 0))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 - 79. Suppose -5*f - 178 = -d*y - 2*y, 0 = 3*y + 4*f - 149. List the prime factors of y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8939 is divided by 2965?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**6\/720 + 31*g**4\/24 - 52*g**2. Let u(w) be the second derivative of h(w). Let c(p) = -2*p - 20. Calculate c(u(j)).\nAnswer: 2*j - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*l = -2*y - 30, 0 = -2*y - 5*l + 56. Let n be 12\/y*(-3)\/(-2) + 1. Let g(b) = 2*b**2 + b + 2 - b**n + 3*b + 1. Give g(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 688, 1026, 1354, 1666, 1956, 2218, 2446, 2634?\n\"Answer: -t**3 + t**2 + 342*t + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (4\/2 - 6). Let y(j) = -j**2 - j + 1. Let k(s) = 5*s**2 + 8*s - 7. Let r(z) = -k(z) - 4*y(z). Let o be r(t). Is 3 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*m**3 + 303*m**2 + 2406*m + 2112.\nAnswer: 3*(m + 1)*(m + 22)*(3*m + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 11) in base 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 10568729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2100211202120 (base 3) to base 10\nAnswer: 1256622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-467015)\/(-11385) + -3*9.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-18) - ((-220)\/385 - 6938\/84). Calculate the highest common factor of m and 1356.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.5 - -4.5055. Round c to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4097 + -4095.1. Sort s, 4, 3 in descending order.\nAnswer: 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51279362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from ftebft?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 365649 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -17*j**2 + 194*j - 416. What is h(9)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 292184 and 224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**10\/1680 + v**6\/90 + 2*v**3\/3 - 2*v. Let r(u) be the second derivative of o(u). Find the third derivative of r(j) wrt j.\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 291, 421, 551, 687, 835, 1001, 1191?\nAnswer: 1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14692 + a - 16*a + 46*a - 14692 - 8*a + 5*a.\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 140 = 5*z, 3*z - 2*l = -2*z + 160. Suppose -5*g = -5*w - z, 9 = -3*w + 2*g - 9. Let o = w - -6. Solve 5*c + o*c = 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 34 = 4*v, -8*t = -23*t + 17*t + 6 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 0.70693931.\nAnswer: 0.90693931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 0 - (-7 - 14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/48 and 13\/84624?\nAnswer: 84624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 5*d**2 + 6. Let g be s(5). Let n(q) = q**3 + 5 - 14843*q - 2*q**3 + 5*q**2 + 14851*q + 0*q**3. Determine n(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -912289 - -912381. Let k be 82\/5 + (-2)\/5. Calculate the greatest common divisor of d and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/216*6*-9.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6)*(-29 - 50*m + 29).\nAnswer: 50*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 399986, 400444, 400902, 401360, 401818?\nAnswer: 402276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-608)\/950*60\/(-16). Solve -2\/5*m - l*m**4 + 22\/5*m**3 - 8\/5*m**2 + 0 = 0.\nAnswer: -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 38 - 7 = 27. Let l = 31 - 22. What is the highest common factor of x and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((-1 - (3 + 16)) + (-6 - (-17 + 11)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5665 and 159.\nAnswer: 900735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 205 = 2*t - 211, -15 = 3*b - 5*t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**5\/2 + 85*f**4\/2 - 205*f**3\/2 - 85*f**2\/2 + 105*f = 0. Calculate f.\nAnswer: -1, 0, 1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + (-74)\/(-18)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(5\/2)\/j)*j*j**(-6)*j*(j**(-1)\/j)**(5\/4))**(-12) assuming j is positive.\nAnswer: j**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w = -8. Let s be w\/12*3*-2. Suppose -18 = -2*a + s*q, 3*a - 3*q = 2*q + 29. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 1 = 2*o, -12*o + 17*o = -25 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 0 in decreasing order.\nAnswer: 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 4:56 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 2002.\nAnswer: -14014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 53108 and 4544.\nAnswer: 849728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 2*j + 254, 2189*j - 702 = 11*v + 2187*j for v.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33.1 and -2.\nAnswer: 66.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5*2810\/(-843)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*w**2 + 9*w**3 - 1 + 47*w**2 + 44*w**2 to the form p*w**2 + b + o*w + k*w**3 and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 5*p**2 - 3. Suppose 0 = 5*s - 9 + 34, 5*c - s = 430. Let l(t) = -11*t + 3. Let r be l(-7). Let o = c - r. Give g(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 1, 2\/11, -5.2, 5, -15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 11*a + 1. Suppose -6*q + 15 = -11*q + 5*x, -5 = 3*q - 2*x. Let y be m(q). Suppose -1\/2*n**5 - 8*n + 4*n**4 + 0 + 16*n**2 - y*n**3 = 0. Calculate n.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 58 = -59. Let t(s) = -s**3 + 13*s**2 + s - 3. Let d be t(a). Solve x + 20 - 2 = -5*r, -2*r = -x + d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/3)\/((-2)\/12). Suppose o - x = 2. Calculate the lowest common multiple of o and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.2 (b) 4\/5 (c) 8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 2060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*o - 6, -n - 11 - 1 = -4*o. Suppose -3*v + u + 15 = 0, -7 + 0 = -v + u. Solve o - v = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 26 - 22 = 0. Let u = 1847 - 1833. Is u bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240 - 543.948\nAnswer: -303.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (-56 + 14 - -12)) + -61\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 93*x - 83*x + 324 = 0, 3*x - 154 = -3*g + 8*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from vvvvvvvhvvvvvvvvvh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.079, -4, 2\/7, -11\/5, 0 in descending order.\nAnswer: 2\/7, 0.079, 0, -11\/5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vms when three letters picked without replacement from {s: 1, x: 1, m: 1, c: 1, v: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2392650 to the power of 1\/2, to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 125 - (3 - (-12)\/(-4)). Let k = 380\/3 - z. Let i(v) = -v - 6. Let c be i(-7). What is the smallest value in k, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 7*k + 4. Let h be 5\/k*(8 + -10). Sort 1, -4, h in descending order.\nAnswer: 1, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 1. Let g be o(-3). Suppose f + 2 = g*a + 9, 4*f - 7 = -5*a. Is 1762 - (f - (0 + 0)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6167.473 * 4\nAnswer: -24669.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 12*r + 6*r in the form h*r + p and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*l**3 + 103*l + 3680 wrt l.\nAnswer: -27*l**2 + 103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155 + -351. Let j be ((-1)\/(-2))\/((-2)\/v). Calculate the highest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 65*x - 185*x + 8316 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 100. Which is bigger: c or 76?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2578406788?\nAnswer: 2, 5903, 109199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-42) + ((-2)\/7)\/(-1). Suppose -944 = -2*j + 4*c, a*c + 2384 = 5*j + 2*c. What are the prime factors of j?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43143 (base 9) to base 13\nAnswer: -ccc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 103846?\nAnswer: 41538.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -2 (c) 21\/32 (d) 5 (e) 0.035\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23121908 and 2.9531.\nAnswer: -23121905.0469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -419615 divided by -19.\nAnswer: 22085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7363, -55172, -184927, -437602, -854171, -1475608?\nAnswer: -2342887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14267332 is divided by 173.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + (sqrt(243) - (sqrt(243) - -2*sqrt(243)))*4)**2 + 3 + (sqrt(243)*-2*3 + 0 + sqrt(243) + 1)**2.\nAnswer: 342*sqrt(3) + 21640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/14)\/(10\/35)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -16*x**2 - x - 1. Let m(y) = 2*y**3 + 1. Let z be m(-1). Calculate k(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (3 - 4) - (2 + -1 + 13).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110766020.\nAnswer: 2, 5, 5538301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11505)\/(-3540)*352\/52.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4011?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**4 - v**3 - v - 1. Let o(s) = -19*s**5 + 3*s**4 - 3*s**3 - 24*s - 3. Let u(b) = -3*d(b) + o(b). Find the second derivative of u(j) wrt j.\nAnswer: -380*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utrpututtrpuu. What is prob of sequence pr?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 30, 260.\nAnswer: -5, 1, 30, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 - 85 = 25*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4.13 times 292\nAnswer: -1205.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.59 + -2.29. Let i = -2 + 2.6. Which is the biggest value? (a) -0.4 (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 2:54 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467 = 1687*j - 1568*j + 4632 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 - 30. Calculate the smallest common multiple of x and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -235*z**3 - 15*z**2 - 38*z - 19. List the prime factors of c(-3).\nAnswer: 5, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 134 + 122. Solve -18 = -5*x + c, 3*x = 2*s + 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 12 + 5)*(-9*n - n - 19*n).\nAnswer: -464*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 448043821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 6:58 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 28*p - 35. Let j(s) = -2*s**2 + 70*s + 88. Let u(a) = -5*j(a) - 12*l(a). Factor u(b).\nAnswer: -2*(b + 2)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/2)\/(d*d*(d*d**(-1\/7))\/d)*(d*d**(-2\/7)*d*d)**(2\/113) assuming d is positive.\nAnswer: d**(-489\/1582)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 12\/4697255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -315 - -320. Let v(s) = -s**2 + 7*s. Let d be v(7). Solve b - 4 + p = d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 209*i - 65*i - 893 + 173 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -4*s + 2, 15*s - c - 8 = 13*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13\/60, -12, -3?\nAnswer: 13\/60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: 43311 (base 9) to base 2\nAnswer: 111000000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3*v**2 + 2432*d**3*v - 144*d**2 - 6*v**2 wrt d?\nAnswer: 12*v**2 + 14592*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -15 in decreasing order.\nAnswer: 5, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -45*1\/(-1)*((-165039)\/6775)\/(-203)\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**1*a*a)\/(a\/(a\/(a*a**(-5\/7)))))**13)**24 assuming a is positive.\nAnswer: a**(5928\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 11. Let t = w - 2. Suppose j = t + 4. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5132.5 rounded to the nearest one hundred?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 171 + -197. Suppose -4*i - 16 = -q, -5*q + 0*q - 30 = 2*i. Put -2, i, j, -4 in increasing order.\nAnswer: j, i, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7508219 is divided by 500546?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + a - 8. Let u(g) = -3*g - 1. Suppose -i - 6 = 5*t - 0*i, 0 = 4*t + 4*i - 8. Let y be u(t). Solve y*q = a*c - 5, 8*c - 3*c - 3*q - 3 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-10\/7)*l)\/(l*l\/((l\/l**(-26))\/l*l)*l))\/((l**(3\/14)*l)\/(l\/(l*l**(18\/13)\/l))) assuming l is positive.\nAnswer: l**(3999\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/4 + 19475869*p\/2 + 379309473305161\/4 = 0. What is p?\nAnswer: -19475869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q - 11864 = -21*q. Suppose 2*y = 3*f - 106 - q, 4*f = 3*y + 2119. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3226.\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118780*f + 42*f**2 - f**3 - 118780*f - 1 to i*f**2 + p*f**3 + b*f + j and give i.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 10*l**2 + 9*l - 13. Let u be ((-72)\/(-30))\/((-2)\/10). Let n be (u\/(-16))\/(1\/12). Is g(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 2\/3, 5, -2 in decreasing order.\nAnswer: 5, 2\/3, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33850 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -295444.87 + 295445. Let u be 4\/(-6)*(-3)\/8. Which is the nearest to y? (a) 2\/9 (b) u (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 12 = 3*q + 9, -4*q - 10 = 5*i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1 - m)*(-648*m**3 - 62846*m + 62846*m).\nAnswer: 648*m**4 - 1296*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-10 - -9) - 6) + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/8 and (130\/(-42))\/((-18)\/21).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-6)*6\/4. Let c(w) = -2*w + 2*w - 3*w**q. Let f(r) be the first derivative of -r**2 - 6. What is c(f(x))?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2*sqrt(540) - (sqrt(1500)*1 - sqrt(1500)))\/(4*sqrt(2352)))*-4.\nAnswer: -4 - 3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(-7)\/h))\/h)\/h*h)\/h*h**(2\/11)*h**(-2\/19)*(h\/(h**(2\/21)\/h))\/h assuming h is positive.\nAnswer: h**(35030\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30031.\nAnswer: 59, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**4 + 3 - 3 + (3 - 23 + 0)*(m**4 + 3*m**4 - 2*m**4) + (-2*m**4 + 3*m**4 + m**4)*(-2 + 6 - 3).\nAnswer: -43*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - (5 + -2))\/15. Let x = 1\/3 - z. Let f be (-14)\/24 + (-2)\/(-6). What is the biggest value in -1, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (46*s + 5 - 42*s - 4)*(5 + 16 - 9) to q*s + a and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, z: 1, e: 1, d: 4}. What is prob of sequence jedz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019096129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 30, -13 in descending order.\nAnswer: 30, 3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3*(-11)\/(-22)*(-4)\/(-27).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 1)*780\/117*24\/20\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 29, -3 in decreasing order.\nAnswer: 29, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, b: 1, s: 1, j: 2}. Give prob of sequence ssjs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f. Let b(z) = -584077*z**2 - 1790*z. Let g(p) = 1960*p**2 + 6*p. Let c(s) = -3*b(s) - 895*g(s). Calculate q(c(w)).\nAnswer: 1969*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03514 rounded to four decimal places?\nAnswer: 0.0351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3, 3*q + 313697 = 5*l + 1534084. Suppose -563895 = -3*b + q. Suppose f - 41523563 = -b. What is f rounded to the nearest one million?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -58559*q + 2. Let w be i(6). Let a = 1414023\/4 + w. Let n = a + -2166. What is the common denominator of 41\/16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110000010001001101101 - 10?\nAnswer: 1100110000010001001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 4*c**2 + 5*c. Let d be q(5). Suppose -2*t + 2*h = 6*h - 262, d = 2*t + 5*h - 265. What is the highest common divisor of 25 and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6348307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + s + 9 = 0. Let m be (-21)\/(-5) - s\/5. Suppose -m*o + 3110 + 2286 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -323903 and 0.0565?\nAnswer: 323903.0565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 24, -705, 5, 2 in ascending order.\nAnswer: -705, -12, 2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p + 17*p + 86*p.\nAnswer: 89*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b + 2535 - 2535)*(3*b**2 - b**2 + 3*b**2).\nAnswer: 35*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l + 0*l + 2*l - 3*l**2 + 3*l**3 + 2. Let m(q) = -4*q**3 + 4*q**2 + 3*q - 3. Let t(p) = 3*j(p) + 2*m(p). Factor t(f).\nAnswer: f**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28624766.\nAnswer: 2, 373, 38371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h + 1950 = -3*h. Suppose -58*k + h*k = 20. Let j = 1 + 2. Solve -p = -k + j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/69*(-3601 - -3463)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.32 and 2617.88098637.\nAnswer: 2610.56098637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**12\/h*h*h**10*(h**(-2)\/h)**(-5\/9) assuming h is positive.\nAnswer: h**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12965 and -0.3?\nAnswer: 3889.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**2 - 5*k - 6. Let q(w) = 7*w**2 - 5*w - 7. Determine -4*q(r) + 5*x(r).\nAnswer: 2*r**2 - 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-14464.8\nAnswer: -14464.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -35, -765, -2031, -3833, -6171, -9045?\n\"Answer: -268*l**2 + 74*l + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 + (-19)\/(95\/(-12810)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67835 - 11264 = -100*s - 690*s - 16689 for s.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.3 + 13.2. Let h = c - -9.09999939. Round h to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r - 3*r**2 + 12*r**3 - 59 - 6*r**3 - 164 - 6*r**3 + 2*r**4 as b*r + y + f*r**2 + p*r**3 + u*r**4 and give y.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19512 by -271.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*x - 13098, -2*w - 349*x = -348*x - 5248. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * -0.044\nAnswer: 0.00352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -97*i + 3002. Calculate v(33).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.91 + -26.81. What is the nearest to -1 in -0.4, -3\/2, o, -45?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3672 divided by -612?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -27. Suppose n - 4*n = x. Solve n = -5*d - 14 - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.192 + -24.192. Is 0.1 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 18 = -0. Let f = 41 + x. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -5. Let l = -1597.5 + 1597. Which is the third smallest value? (a) g (b) l (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 13, g: 5}. Give prob of picking 2 v and 2 g.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 6*q**2 - 4*q - 8. Let y be b(-6). Let w = y + 9. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16282926 to the nearest integer?\nAnswer: 4035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35393 is divided by 550?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*o + 52*o + 23*o = -195. Let j be ((-3)\/2)\/((-2)\/4). Sort o, j, -12.\nAnswer: -12, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -116, -708, -2348, -5558, -10860?\n\"Answer: -87*k**3 - 2*k**2 + 23*k - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68\/79 + 3439\/869. Let m(n) = -n**3 - 7*n**2 - 8*n - 16. Let v be m(-6). Calculate the common denominator of v*(3 - 2) + (-28)\/(-22) and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -1654204?\nAnswer: 1654204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*q - 7*q + 6*q)*(3183*q**3 + 73*q - 4*q**2 + 2*q**2 - 3182*q**3) to the form j*q**2 + a*q + p*q**3 + c + r*q**4 and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -47*o**3 - o**2 - o - 4. List the prime factors of c(-2).\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -6. Let g be 11\/((-1)\/((-4)\/p)) - 3. Determine f so that -g*f**3 - 2\/3*f**4 + 0 + 0*f + 0*f**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12.97, 1, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*i + 168*i + 229 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*t = 3*f + 155*t + 4, 2*t + 4 = -4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*h = 11, -6*h + 2*h = -2*d + 6. Find the common denominator of 57\/4 and ((19 - -5)\/d)\/(2\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.285 + 0.34. Let u = o - -0.245. What is the fourth smallest value in 2, -1\/3, u, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 3:09 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -112112 (base 3) in base 8?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37321376 and 4716.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 263893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*u**2 + 400*u**2 + 319*u**2.\nAnswer: 573*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1041 - -1043.284. Let n = m + -0.014. Is 1\/4 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 i when three letters picked without replacement from vivxiviviv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/4 (b) 27 (c) 1\/2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -0.01, 0.1, 0, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -269, 2, 5, -1 in descending order.\nAnswer: 5, 2, -1, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.005022 from -5.\nAnswer: -4.994978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 8*s**2 + 3*s + 1. What are the prime factors of p(7)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 1. What is d(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**4\/30 + z**3\/15 - 2*z. Factor i(g).\nAnswer: 2*g*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.77, -3, -3\/8, -331?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnn when three letters picked without replacement from ncnncmncnnc.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 260850.9ns?\nAnswer: 0.000004347515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126698 by 63349.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4696*g**3 + 776*g**3 + 989*g**3 - 3638*g**3.\nAnswer: -6569*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-3\/2)\/h*h)**(4\/19)\/(h\/((h*h*h*h*h*h**11)\/h)*h**(-7)*h))**(12\/13))**21 assuming h is positive.\nAnswer: h**(94248\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t**2 - 7*t**2 + 2*t**2)*(689 - 408 - 355)*(76 + 35 + 13) to the form q + x*t**2 + r*t and give x.\nAnswer: 18352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23621779, -23621781, -23621783, -23621785, -23621787, -23621789?\nAnswer: -23621791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -22. Suppose c = -4*d + 123. Let v = d + -9. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**7\/70 + i**5\/30 - i**2. Find the third derivative of f(j) wrt j.\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - d8d009a?\nAnswer: -d8d009d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9250, -47661, -111686, -201331, -316602, -457505?\n\"Answer: -p**3 - 12801*p**2 - p + 3553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8289.0918 - 8291. What is o rounded to one decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (8 + -15) - (2 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -25. Solve 0 = -t*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/33*(-6)\/((-72)\/132)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -525 - -549 - (1 + 8 - 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 660*o + 699. Let d(z) = -6*z**2 - 3960*z - 4186. Let g(t) = -13*c(t) - 2*d(t). What is the first derivative of g(h) wrt h?\nAnswer: -2*h - 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-8)*-6*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from ruzrrauiuuauui?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:50 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1089*r**2 - 13514*r - 2*r**3 - 1089*r**2 + 13514*r.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*w**2 - 3*w**3 + 12*w**2 - w**3 wrt w?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 14) in base 2?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a + 72. What are the prime factors of l(-6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*a + 8 = -74*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/18 and 71\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 164*f**4 - 18801*f**2*m**3 + 3*f**2*m - 8*f*m**3 - 1002359*f*m wrt f?\nAnswer: 1968*f**2 - 37602*m**3 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/6, 0.4, 0.3, 0.2, 3, -4\/3427?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + sqrt(720) + 1 + sqrt(720))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -233*n**7\/7 + 155*n**4\/4 - 2307*n. Find the third derivative of c(o) wrt o.\nAnswer: -83880*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 j, and 1 r when three letters picked without replacement from joooroojj.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -155109839.4 to the nearest 10000.\nAnswer: -155110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4640674, 4640653, 4640632?\n\"Answer: -21*w + 4640695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165851683 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q**5))**(26\/7)*(q**(-2\/21))**(-47))**(2\/3) assuming q is positive.\nAnswer: q**(-748\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6878.667l?\nAnswer: 6878667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2*(-290)\/(-435). Sort -1\/4, 2\/37, g in decreasing order.\nAnswer: g, 2\/37, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3627228883 to the nearest integer?\nAnswer: 60226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -34. Let b be (-7)\/7 + (n - -4). Calculate the highest common factor of 228 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*s + s + 156 = 0, -5*s = 2*c - 69. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 7 + 3 = -2*k, 5*k = -2*y - 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*(y*y**(1\/4)\/y)\/y)\/y)\/y**(-2\/15))\/(y**(-1\/11)\/y*y**2))\/((y**1)**(4\/3)\/(y**(-3\/2)*y*y*y*y*y**3*y)) assuming y is positive.\nAnswer: y**(801\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -227 - -226.09. Let r = m + 1.4. Let k = r - 0.8. What is k rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 948161 - 2000662 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 11*v**2 - 10*v - 11. Let s be k(-10). Let w = s - -11. Let z(c) = 7 - 7 - c**3 + 4*c**2 - 3*c**2 + 7. Calculate z(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1553 by 114.\nAnswer: -1553\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7491511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*m + 83 = 0, -5*m + 27 = -1902*l + 1904*l. Solve -j = -n - 1, -12*n + l*n - 3*j = -7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4989 = -b, c + 4*b - 842 = 133. What is the greatest common divisor of c and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2809.5163 to the nearest 10.\nAnswer: -2810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1942738*0.4.\nAnswer: -777095.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3440?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - r**2 + r + 5. Let l be x(0). What is the common denominator of l\/(-3)*9\/21 and 3\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4480 - 2.26.\nAnswer: 4477.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039958 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 20 = 0, 2*u = 7*c - 3*c - 34. Suppose 6*h = h + 5*o + 135, -147 = -5*h + o. Let z = h - u. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -15 + -110 + -4 + 2 + 15?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84*o + 717 wrt o.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 4, -5, -1118704.\nAnswer: -1118704, -5, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(12\/(-14))\/(306\/476)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 55*p. Let g(z) = 12*z**2. Calculate g(k(o)).\nAnswer: 36300*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3582*u**3 + 4 + 5 - 11 + u.\nAnswer: -3582*u**3 + u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3240 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 4, 18 in increasing order.\nAnswer: -4, -3, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(9\/8)\/h)\/h)\/h**(-23)*h**(-28)\/h**28 assuming h is positive.\nAnswer: h**(-271\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/11 + 69038*z**2\/11 - 276120*z\/11.\nAnswer: -2*z*(z - 34515)*(z - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*z + 6 + 9, 0 = 5*z + 4*c - 8. Suppose 0 - 8 = z*x, -l + 209706 = -3*x. Let k = -80300 - l. Round k to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21 and 0.88?\nAnswer: 20.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w**2 + 29*w + 14. Let d = 53 - 49. Let m(l) = 3*l**2 - 15*l - 7. Let j(f) = d*c(f) + 7*m(f). Give j(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -10*n + 9. Suppose 30 - 6 = -8*y. Sort y, 12, n in descending order.\nAnswer: 12, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 1325154199*w**3 + w + 1325154198*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614393636 is divided by 143?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-6) - 1\/(-2). Which is bigger: 2\/31 or n?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 28*l. Let i(s) = 155*s**2 - 249. Calculate i(f(a)).\nAnswer: 121520*a**2 - 249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(44) + sqrt(99)*4 + sqrt(11).\nAnswer: 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 72, 17?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 308 = -3*u. Suppose -14*r + 1364 = 384. Let s = u - r. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -162 - 339?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8\/21 - 127\/168. What is the nearest to 1 in -2, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5095 is divided by 1695.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 5. What is the units digit of y(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4 - 20. What is the remainder when (-6 + (-18)\/v)\/(2\/(-8)) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 3*j**2\/2 - 2*j + 7. Let d(y) = -y. Suppose 3*o - 2 - 1 = 0. Calculate o*m(z) + 5*d(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 12*m**3 - 4*m**3 - m - m.\nAnswer: -16*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*x**2 - 13\/5*x + 168\/5.\nAnswer: -(x - 8)*(x + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. Suppose k = -2*q - 2*q + 96. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1013162 (base 7) to base 6.\nAnswer: -2332552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 95 (c) -2\/15 (d) 2\/13 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.21 - 0.21. Let l = 9 - g. What is the smallest value in 4, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*v - 2)*(23*v**3 + 15*v**3 - 7*v**3) + 0*v + 2*v**4 + 0*v.\nAnswer: 64*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 27 = -2*r, -k - 528 = 3*r - 484. Let m(i) = i**2. Let x(o) = -1 + 8*o**2 - 3 + 3. Give k*x(u) - 2*m(u).\nAnswer: 6*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(99) + 5*1*sqrt(99)))\/(sqrt(72)\/(6*sqrt(8)*-2)).\nAnswer: 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 35*-18940\nAnswer: -662900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 72\/(-6)*(-2)\/4. What is the second derivative of -z*h**2 - 3*h + 11*h**2 - h - 6*h wrt h?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgghhege. What is prob of sequence ge?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*c - 61268 = 0, -5*v = -2*v - c - 183854. Let t = v + -856211\/14. Let q = t + -255\/2. What is the common denominator of q and -7\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50763867 <= 50763865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 8999, -74 in ascending order.\nAnswer: -74, 7, 8999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from nltlpmltnptlmnntnptl.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkou when four letters picked without replacement from {h: 4, r: 1, o: 2, k: 1, u: 1}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 101*p + 271. Calculate m(-1).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + sqrt(720) + 1 + 4.\nAnswer: 6 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*g - 13. Let a(c) = -c**3 - 6*c**2 + 8*c + 15. Let z be a(g). Suppose s + 4*s = 10. Solve t = p - z, -4*p = s*t + 1 - 9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 + 4*w - 2. Let x be t(3). Let l(f) = 135*f**2 + 55. Let a(k) = 5*k**2 + 2. Let m(p) = x*a(p) - 2*l(p). Let j(q) = q. Determine m(j(g)).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/7)\/((330\/(-2475))\/(2\/10)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 1979.674983996?\nAnswer: -1974.674983996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -186*g**2 - 228*g**2 - 254*g**2 + 845*g**2 + (4 - 4 + 2)*(4*g**2 - 4*g**2 - g**2).\nAnswer: 175*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/65)\/((-284)\/(-5538))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4*q - 5*q + 4 = 0, 3*y - 4*q + 14 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + u + 25 = -10*i, 3*i = -3*u - 33 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52 or -262?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -326*f + 36498334 + 40848570 + 120955962. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*u - 179*u = -28. What is the least common multiple of u and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 6*i + 11. Suppose 10*q - 6*q - 16 = -5*p, -p = 0. Let d be r(q). Solve -5*m = -2*v + 4*v - 15, -d*v - 2*m = -17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 55 = 14*f. Let a(b) = -2*b**3 + 12*b**2 - 7*b. What is a(f)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 2*v**2 + 0*v**2 + (3*v - 3*v + 2*v)*(1 - 2*v - 1))*(0*v**2 + 0*v**2 - 2*v**2).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186, 374, 576, 798, 1046?\nAnswer: 1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/22? (a) -4\/3 (b) -97 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280000 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/5))**(1\/6))**(-2\/21) assuming d is positive.\nAnswer: d**(-2\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - 15. Let q be (-40)\/6*(-15)\/10. Let h(x) = x - 3. Let b be h(q). Calculate the highest common factor of v and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/11, 172, -1.47, 0.26?\nAnswer: -1.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896*x = -894*x - 3*s + 8, 2*x + 2*s = 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h - h - 3*h)*(2 - 1 + 0)*(-650 - 1220*h + 650) to the form k*h**2 + c + t*h and give k.\nAnswer: -1220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 3, 0, -21, -66, -141?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114*b**3 + 1430 - 1430)*(2 - 1 - 3)*(0*b - b + 2*b).\nAnswer: 228*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (0 + 2 + 6 + -15 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = j + 2*s, 0*s - 2 = j + s. Suppose 3*r + 3 + j = 0. Let h be (5\/10)\/(r\/2). Which is smaller: 0.06 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**11\/c**(-6\/7)*(((c*(c\/c**(-1\/3))\/c)\/c)\/c*c)**(5\/6))**(3\/13) assuming c is positive.\nAnswer: c**(1529\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**5*h**3 + 19326*b**5 - 2*b**2*h**2 + 45*b**2*h - 2*b**2 - 2*b*h + 2*h**3 wrt b?\nAnswer: 120*b**2*h**3 + 1159560*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**3\/3 - l**2 + 2*l + 3. Let a be w(-2). Solve o - 1 - a = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2536 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 c, and 2 x when four letters picked without replacement from {d: 2, c: 4, x: 2, m: 5}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r - 2*h - 16 = 0, 0 = 2*r - 3*h - 12. Let v = -7284\/5 - -1457. Let p = 10 - 6. Which is the nearest to 0.1? (a) p (b) r (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432273757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 9\/2 (c) 39\/296\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*g + 4*q, -g + 15 = -4*q + q. Let o = -4619 - -4618.5. Let h = -1 + 0. Which is the biggest value? (a) h (b) g (c) o (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -5. Let f = -4 + i. Solve 4 = g - f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -290, -310, -356, -440, -574?\nAnswer: -770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 7*y**2 + 1\/1848*y**8 + 0*y + 0*y**4 + 1\/330*y**5 + 0*y**3 + 0 - 1\/660*y**6 - 1\/1155*y**7. Find a, given that d(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.866707621 rounded to 2 dps?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*x + 85*x + 26514 = -100*x for x.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/1*((-765105)\/(-6))\/(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -16*w - 34. Is g(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r + 9. Let k be a(0). List the prime factors of (k*-25)\/(-3) - -3.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 4 + 4)*(0*v**4 - 7*v**4 - 4*v**4)*(-1 + 2 + 1).\nAnswer: 44*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 15 = 4*p, -v - 3*v = -3*p - 6. What is the third biggest value in p, 2, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 2*x - 5*x + 20, 5*v - 3*x = -32 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*n - 1 = -31, 5*j + n - 122 = 0. Let r be 38\/8 - (-6)\/j. Suppose -r = -0*d - d. Solve -i - 2 = -3*f, -5*f + 2*f - 10 = d*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 22 = -4*b, -32*b - 5*o + 4 = -31*b. Calculate the smallest common multiple of (-58)\/(-6) - 4\/6 and b\/(120\/(-110)) - 10\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3032 and 191377187.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - -7. Let u(z) = -z**3 + 18*z**2 - 16*z - 2. List the prime factors of u(n).\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f + 3. Let k(i) = i - 1. Let c(v) = 5*k(v) + n(v). What is the units digit of c(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2155 + -1313. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from kmkkkkimbibmbimi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -32, -19, 10, 61, 140, 253, 406, 605?\n\"Answer: i**3 + 2*i**2 - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110122 + -1121011210200?\nAnswer: -1121011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 90881414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329460077.\nAnswer: 329460077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppulwiwwwiwiwpwwwiiw. What is prob of sequence pl?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 24, 2 in decreasing order.\nAnswer: 24, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 5*z + 8. Suppose 3*s = -4*g + 21, -5*s + 21 = -2*s - 3*g. Let t be l(s). Let u(a) = -a**2 - 6*a - 7. Give u(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-24) + 535\/6. Let y(n) = -89 + a + 2*n. Let v(l) = 3*l**2. Determine y(v(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 3*j = j + 38, -5*s + 3 = -17*j + 13*j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 9*c = 10*c - 312, 2*z = -4*c + 628. What are the prime factors of z?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 15*u + 8. Determine w(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -476, -1133, -1790, -2447?\nAnswer: -3104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v + 10 = 0. What is the closest to 0 in v, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 5*w + t, 0*w = 2*w + 3*t - 32. Suppose -17*n - 98*n = -79 - 381. What is the lowest common multiple of w and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 4:24 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -462525 divided by 149.\nAnswer: -462525\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - w**2 + 15. What is the remainder when 1967\/28 + (-4)\/(48\/(-9)) is divided by u(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 2697339180.\nAnswer: 8092017540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 17 = -4*k. Suppose -3 + k = 4*c. Let n = c + 1. Solve -n*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 7*r - 10. Suppose -2*j + w = -0*w + 47, -5*j - 3*w - 90 = 0. Let o = -11 - j. Solve -r*z = -2*k - 4*z + o, 0 = -5*k - 4*z + 23 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13146553 to the power of 1\/2, to the nearest integer?\nAnswer: 3626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -5 (b) 0.5 (c) -3\/20 (d) -2\/19 (e) 33 (f) -12\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3298.16 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1830861 + 2485119 = 60*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114.4455776089 - -81\nAnswer: -33.4455776089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/14861 and 107\/140?\nAnswer: 297220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*a + 72. Suppose -4 - a = -u. Calculate the remainder when u is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -19*b**3 + 3. Suppose 391 = -3*j - 2*p, 2201*p = -5*j + 2200*p - 661. Let v(i) = 836*i**3 - 133. Determine j*k(n) - 3*v(n).\nAnswer: 19*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 - 3*t**2 - 2*t - 1. Let x be g(-2). Let h = x + -19. Sort 0, 1, h in descending order.\nAnswer: 1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8844343*y + 1948083 wrt y.\nAnswer: -8844343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 144 - 118. Let h = b - 23. What is the highest common factor of h and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 19*o - 114. Let u be m(6). Suppose 2*d - 391 = -g, u = 4*g - 9*g - 25. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0165 + -2.1265. Let v = j - -2.937. Round v to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 4*r - 2*h, 3*h + 61 = 2*r - 2*h. Suppose -3*o + 4*q = -38, -3*o = 3*q - 5*q - r. Let x(f) = -f**2 + 7*f + 7. Calculate x(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 23857621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + b + 45, -6982*b + 3 = 2*t - 6989*b for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 9:07 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y + 3. Let s(i) = -33*i + 16. Let k(u) = 8*u - 4. Let r(p) = -9*k(p) - 2*s(p). Let c(v) = 4*g(v) - 3*r(v). Let n(m) = 2*m**2. Calculate c(n(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.26 - -1.74. Let s = 5690\/6321 + -74\/129. Let x = 470\/539 - s. Sort 1, h, x in ascending order.\nAnswer: x, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -124, -410, -876, -1528, -2372, -3414, -4660, -6116?\n\"Answer: -a**3 - 84*a**2 - 27*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29\/55 (b) 17 (c) 0.5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 48 = -5*d - 9, -4*d + 40 = -3*u. Solve 3*o + 5*s = d - 1, -s = 2*o - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238961599 to the power of 1\/2, to the nearest integer?\nAnswer: 15458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 234\/449?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, 13, 22, 33?\n\"Answer: k**2 + 4*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-10)*(-3 - 1). Suppose a*r + k - 10 = 3*k, -k = 2. Are 5 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 1\/2, 15, -904, 0 in ascending order.\nAnswer: -904, -1, 0, 1\/2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 32\/5 of a gram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-678)\/(-16)*12\/(-270)*-6 and 48\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x**2 - 21*x + 18. Let w(b) = -3*b**2 + 7*b - 6. Let r(k) = 4*j(k) + 11*w(k). Let t be 19\/(-3) - 1\/(-3). Is 4 a factor of r(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*l**5 + 62*l**4 - 4*l**3 + 13*l**2 + 197 wrt l?\nAnswer: -900*l**2 + 1488*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 3)*(-21*g - 17*g + 25*g) + 3*g - 5*g + 4*g + (-3*g - g + 6*g)*(4 - 3 + 0) to the form r*g + k and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1521 + -1521. Solve 0 - 3\/2*l**5 + 3*l**3 + 0*l**4 - 3\/2*l + j*l**2 = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -9815967*l. Let c(t) = -110*t. What is c(a(s))?\nAnswer: 1079756370*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 81 - (34 + 9).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 89012755.\nAnswer: 534076530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-64)\/20 - -3). Solve -5*o + 15 = n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 347170680.62.\nAnswer: -347170680.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(((j*j**(2\/7)*j)\/j*j)\/j)*j**2*(j\/(j\/((j\/j**(2\/3))\/j)))\/(j*j**(-3)) assuming j is positive.\nAnswer: j**(64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -194, -192, -202, -230, -282?\n\"Answer: -u**3 + 9*u - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/308?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 6217583 to the nearest ten thousand.\nAnswer: 6220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112112 + 1211211111?\nAnswer: 1211021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 1105.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 51. Determine y(17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 70.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/794 and -53\/10.\nAnswer: 3970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5924 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50529953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 3*c + 1. Let a be v(2). Let h be 2 + a + 2 + -4. Suppose 4*x - 12 = h*x + 2*t, 5*t + 21 = x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 - 2*n**3 + 2*n**3)*((2 + 2 + 0)*(27 + 54 - 27) + (-3 + 2 + 0)*(3 - 1 - 3) + 0 + 0 - 2 + 0 - 1 + 2).\nAnswer: 216*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0952 and 185227.\nAnswer: 17633.6104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/79 less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -544471 and -543657 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 5. Let y(x) = -69604*x + 1. Calculate c(y(h)).\nAnswer: 4844716816*h**2 - 139208*h + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -98. Is 5 a factor of (-21)\/6*240\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138984 and 22080.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 925104, 925102, 925098, 925092, 925084, 925074, 925062?\nAnswer: 925048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1477)\/422*52\/(-7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**4\/12 - 9*m + 16. Let h(n) = 338*n**2. Determine b(h(p)).\nAnswer: 114244*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*o = -f + 8, -4 = -f - 3*o. Suppose -f*b + 2 = -22. Solve 4*s - 6 - b = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3808 or -3805?\nAnswer: -3808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7060625, -7060633, -7060645, -7060661, -7060681, -7060705?\nAnswer: -7060733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30422855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 375159428 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 309792410.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/6 - 6\/(-2). Suppose -4*n - n + 220 = 5*o, -5*n + 20 = u. Suppose -3*p + 62 = 2*v + 2*v, 2*p = 4. What is the remainder when o is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 528 and 3442406.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t + 3*t**2 - 40*t**3 + 2*t + 168*t**3 - 50*t**3 - t**4 - 58*t**3 to the form f*t**4 + r*t**3 + p*t + i*t**2 + m and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -129520294?\nAnswer: -129520293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**2 - 61896336*l = 0 for l.\nAnswer: 0, 15474084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132078 - -132149. Let q(u) = u**3 - 8*u**2 + 9*u + 1. Calculate the remainder when w is divided by q(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -52*u**3 - u**2 + 3*u + 1. Is b(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1824202776.\nAnswer: 2, 3, 11, 29, 21661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Let l(c) = -2*c**3 + 7*c**2 - 4*c + 3. Let t(v) = 4*v**3 - 15*v**2 + 9*v - 7. Let u(y) = 9*l(y) + 4*t(y). Calculate u(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -967 (base 11) in base 4?\nAnswer: -102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = 0. Suppose r*j = 3*j - 57. Suppose 5*a = -x + 39, -2*a + j = -0*x - 3*x. Solve 2*u + 6 + a = -4*q, 9 = -u - 3*q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1655\/63 + -221\/9. Is s >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -634 divided by -736.\nAnswer: 317\/368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-2)\/1)*2*156\/24.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*l**2 - 6*l**2 - 19*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 29b824?\nAnswer: 29b821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-609)*-3 - 8\/116. Which is the third smallest value? (a) 4 (b) 2\/3 (c) 2 (d) s (e) -2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 113 - 100. Suppose z*t - 684 = t. Suppose 56*p = t*p - 7. Does 1 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 8. Let g be z(6). What is the first derivative of g - 2*m**4 + 0 + 0 wrt m?\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, r: 1, t: 2, e: 1, k: 1, v: 1}. Give prob of picking 1 p, 1 r, and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 420 and 525.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -115a039 - -16?\nAnswer: -115a023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (30\/9)\/((-4)\/(-6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04038676 + 3021.32061324. Let h = 3024 - y. Round h to 1 dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 10*t + 9. Is z(10) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326952183360 - 0.02.\nAnswer: 326952183359.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -56*j - 24*j + 6306 - 2458 for j.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100227*b*j**2*w**3 - 2*b*j**2 - 267*b*j*w**3 - 2*b*j - 2*b*w**2 + 10*b*w - j*w**2 + j*w - 140*w**2 wrt w?\nAnswer: 601362*b*j**2 - 1602*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 6:05 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - n + 0*n - 146 = 0, 2*n + 4 = 0. Let y be 5140\/36 - (-8)\/m. Suppose 3*k - y = 2*c, -4*k - 2*c + 0*c + 172 = 0. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 20 = 11*n. Let o = 0.2 - -0.3. Sort o, 2, n in decreasing order.\nAnswer: n, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*b**2 - 5*b + 2 + 5*b.\nAnswer: -44*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*y = 12, -2*w + 6 + 2 = y. Suppose -4*h - w + 22 = 0. Suppose -135 = -29*j + 26*j. Calculate the highest common factor of h and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 18 - 6. Let o be (-11)\/f - 6\/8. Is ((-52)\/6)\/(o\/(-6)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312 = -99*z + 60*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -0.4 (b) 10 (c) -2 (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -348717174*z**3 + 985*z**2 + 352671*z.\nAnswer: -2092303044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8\/3, 100, -10897?\nAnswer: -10897","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.8 + 0.2. Let q = 2.3 - k. Let d = q + -0.3. Which is the smallest value? (a) d (b) -4\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 17738?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 422*i. Let w(u) = -148*u. Calculate b(w(p)).\nAnswer: -62456*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*b - 6677, 3*b - 3656 = -4*d + 3018. Does 42 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2 + 45*a - 1 - 8. Is z(4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1)*b*b**(-1\/2)*b*b**(-2\/17)\/(b**(2\/15)*b)*b**(-2\/9)*b*b*(b*b*((b\/(b\/(b*b**(-8))))\/b)\/b)\/b*b*(b**0\/b)**(1\/82) assuming b is positive.\nAnswer: b**(-187732\/31365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -130, -123, -116, -109?\n\"Answer: 7*u - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2614 - 112.165\nAnswer: -2726.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*i = -118*i + 4662 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -9*t**2 + 12*t**2 - 6 - 8*t**2 - t**3 - 4*t**2 + t**2. Determine q(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119 - 30. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from {j: 2, k: 1, x: 3, q: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -195*h - 54. Let o be b(-3). Suppose -965 - o = -8*t. What is the remainder when t is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o. Suppose 0*x = -3*f + 2*x + 11, 0 = -f - 3*x + 11. Let r be k(f). Solve 0 = -3*m + 2*u - 7, 0 = r*m + 8*u - 3*u + 45 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(70\/4))\/((-252)\/(-735))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**4\/4 + a**3 + 3*a**2\/2 - 6*a + 1696. Suppose 3*g = 6*g - 9. Determine i(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897219 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0, -0.2, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(5\/3)\/a)\/a**8*a\/a**(-4)*(a\/a**(-2\/11))\/a)**(-25))**20 assuming a is positive.\nAnswer: a**(35500\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 + 2 - (-10 - 124).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640425.7 meters in micrometers?\nAnswer: 640425700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5540 - -5591. What is the remainder when 344 is divided by m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/5 + 23*u\/5 - 63\/5 = 0 for u.\nAnswer: 9\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.5 (b) -2631 (c) 0.35 (d) -4\/3 (e) 6 (f) -3 (g) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1007 and 7374049?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(2 + 12\/(-2)). Suppose 7*z - 21 = r*z. Solve h = 3*f + f - 11, 0 = 4*f + 5*h + z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47.94 - 47. Let s = h + -9.14. What is s rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -5*a**4\/4 - 2*a**3\/3 + 2*a**2 - 3*a - 11. Let t = -2 - 1. Let w(x) = 4*x**3 + x**2 - 3*x + 2. Determine t*w(v) - 2*d(v).\nAnswer: -2*v**3 + v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 24*c - 26*c. Let w be (-6)\/c*21\/(-3)*-1. Suppose -w = 45*j - 46*j. What is the least common multiple of j and 212?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) -1 (c) 416 (d) -0.4 (e) -47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -16 + 2 + -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*d = 115*d - 1488. Round d to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8*y. Let b be 0 - ((-3)\/(-9) - (-84)\/(-36)). Let v(k) be the second derivative of 0 - 1\/3*k**3 - 6*k + 0*k**b. What is v(g(t))?\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/2 - (-1 + -6). Let d(u) = 10*u - 32. Let f be d(6). Suppose -f*y - 12 = -30*y. Is q > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -5 - -3) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 382 (base 12) to base 7.\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46149*g - 14218*g - 16570*g + 54147*g.\nAnswer: 69508*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4218 - -4218.1. What is the biggest value in c, -0.3, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*p + 4*p + 301 - 273 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103786.\nAnswer: 2, 51893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000453036 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 205.446376\nAnswer: 20.5446376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21942, -32794, -43634, -54456, -65254, -76022, -86754, -97444?\n\"Answer: h**3 - 10859*h - 11084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-8))\/(((-30)\/(-200))\/(4\/8)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - ((-9 - (-17 - -4)) + -5 + -9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - x - 2385961. Suppose z + x = 14013806. Let b = z - 6417845. Round b to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 13*d**3 + 166*d**2 + 144*d + 24. Determine p(-8).\nAnswer: 2840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/(-6) - 1) + -2. Let r = -2.72 - -2.86. Is v at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/19)*g*g**(-20)*g)\/((g\/((g\/((g\/(g**(-14)*g))\/g))\/g))\/g**32))**(2\/5) assuming g is positive.\nAnswer: g**(-6\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -1)\/((-1)\/(-5)). Suppose 0 = -5*u - a + 15, -p*u + 7*a + 15 = 3*a. Suppose -u*m = -4*m + 2. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2943*c - 290*c - 2524*c + 3262*c + 3615*c)*(2*c - 9*c - 3*c).\nAnswer: -70060*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 12*b - 6. Let r be p(11). Let v(k) = k**3 - k**2 - 11*k - 4. Is 9 a factor of v(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -2*f - 966*j + 965*j, -5*f - 75*j = 2035 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(153*o + 131*o - 331*o) - 1 + 1 + 2*o - 107*o + 13*o - 64*o - 36*o.\nAnswer: -239*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005649 to seven decimal places.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 38580112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49106 + 0.0178738.\nAnswer: 49106.0178738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5\/9 - 16*m**4\/9 + 106*m**3\/3 - 836*m**2\/9 - 1240*m\/9 + 400 = 0. What is m?\nAnswer: -18, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**3 + 2*r**2 - 3*r + 1. Let a be d(2). Is (-2 - a\/(-2))*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 3*j**2 - j + 3. Suppose -8 = -8*l + 10*l. Determine g(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44750 = 44777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - -1001110111100?\nAnswer: 1001110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 60241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-1 - 1) - (-4 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -788982, -788966, -788950, -788934, -788918, -788902?\nAnswer: -788886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 20*w**2 - 53*w - 43. What are the prime factors of y(-16)?\nAnswer: 11, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*j + 46 = 0, 5*w - 149 = -5*j - 49. Let c(o) = -o**3 - 6*o**2 + 3. Calculate the lowest common multiple of c(-6) and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 120\/(-48)*(-32)\/10. Suppose -v = 10*a - 8. Determine w, given that 0*w + 0 + 1\/2*w**4 + a*w**2 + 1\/2*w**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 2\/1633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -92468153 divided by -2\nAnswer: 92468153\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from kkvkvkkkkk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 5*y = 0, 0*t + t - 3*y = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + (32144\/693)\/14. Let n = -67\/11 + x. Calculate the common denominator of n and -52\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -256, -359, -440, -493, -512?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2*s + s**3)*(994*s**2 + 185 - 185).\nAnswer: 994*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45 - (-15 + 24 + -12)) + 12 - 3.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 119\/28 + 1\/(-4). Suppose u + b*c + 104 = -u, 3*c = -3*u - 147. Let s = -17 - u. Is 29 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 5:04 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 2*c. Suppose -9 = -2*v + 5*v. What are the prime factors of t(v)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4915.6989 - -4891.698897. Let o = -27.5 + 3.5. Let z = u - o. Round z to seven dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u, -14 = -b - b + u. Calculate the remainder when 20 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -257*w + 126*w + 2 - 22*w**3 + 129*w - 2*w**4 + 2*w**2 - 6*w**3 in the form r*w**4 + y*w**3 + a + z*w**2 + c*w and give y.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 8*i**2 + 17*i + 3. What is c(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r = 33*r. Suppose 0 = 5*a + 14 + 6. Let s be (22\/(-13) - a) + -2. Which is bigger: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - g + 9, -65234*r - 2*g + 9 = -65229*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -125.69 to zero dps.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yypy when four letters picked without replacement from {p: 7, y: 5}.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(4\/17)*n**(1\/3) assuming n is positive.\nAnswer: n**(29\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o**5 + 1290*o**4 - 46710*o**3 - 349980*o**2 + 30804255*o - 288005262 = 0 for o.\nAnswer: -74\/3, 17, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l. Suppose 2*f - 4*g - 10 = 0, l*f + 2*f - 5*g = 12. Solve -3*m - 1 = -m - 3*k, -4*m + 3*k = -f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z**3 + 138*z**2 - 8*z + 3. Let i(n) = -9*n**3 - 136*n**2 + 10*n - 4. Let o(g) = -2*i(g) - 3*w(g). Find the second derivative of o(p) wrt p.\nAnswer: -18*p - 284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1440 and 4199760?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.18 - -19.18. What is the closest to 0.1 in 4, -39, -20, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 5*u + 12 = 16, 2*x - u = 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 2)\/((-7)\/2). Suppose 10 = 2*s + 12. Put 3, w, s in increasing order.\nAnswer: s, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50 in 1\/3, -0.1, 4\/203, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3146 - 3146 - 9*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2974906 divided by -1294?\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/15)\/j*j**(1\/7)*(j**(2\/7))**(4\/3))\/((j**(-3)\/j*j\/j**(1\/4)*j*j)\/(j*j\/j**0*j*j**(1\/3))) assuming j is positive.\nAnswer: j**(1781\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*sqrt(112) + 1 - sqrt(112))*3 - (1 + (-5 + (sqrt(112) - (0 + sqrt(112))))**2)*-3.\nAnswer: 75 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*t + 15, 0 = 3*t - 2*d + d + 1. What is the greatest common factor of 5 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27942, -55875, -83804, -111729, -139650, -167567, -195480?\nAnswer: -223389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 2, -21, -42?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 1936*u + 3874. What is k(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -13 - 2) + -8 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + 9 - 9 + p**4 - p + p + (-2*p**3 + 6*p**3 - 2*p**3)*(-4*p + 3*p + 2*p).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.06+-2998413\nAnswer: -2998413.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -720 divided by -10\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 4 = 3*i. Suppose -10 = 2*g, -i*l - 2*g - 19 = -0*g. Let y be (l - 2)\/(-1 + 0). Sort y, 3, 1 in increasing order.\nAnswer: 1, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11236619*q + 18182613 wrt q.\nAnswer: 11236619","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -730*r**2 - 763*r**2 + 2780*r**2 - 705*r**2 - 693*r**2.\nAnswer: -111*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -22, -2, -170, -7, -11, 0 in decreasing order.\nAnswer: 4, 0, -2, -7, -11, -22, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 21*z**3 + 7*z**2 - 10*z + 6. Let c(j) = 18*j**3 + 6*j**2 - 9*j + 5. Let u(p) = 6*c(p) - 5*l(p). Factor u(s).\nAnswer: s*(s - 1)*(3*s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o = 3*d + 31, -2*o + 2*d = 22. Let a(n) = -n**3 - 4*n**2 + 20*n + 7. Let s be a(o). Let k = s - 2783\/27. Does k = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 37\/5 of a kilogram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -12*l + 2. Suppose 2*y - 29 = -33, 10 = 2*n - 4*y. What is i(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 4. Let s(q) = -25. Let o(k) = 11. Let b(h) = 9*o(h) + 4*s(h). Let i be ((-6)\/(-4))\/(6\/16) - 0. Let c = -1 - 0. Determine c*a(d) + i*b(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 + 0.13. Let t = -4.96 - s. Sort t, 2\/3, 4.\nAnswer: t, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(16\/(-72))*24\/(-9) - 6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v. Let b(i) = -2*i**2 + i + 4. Suppose 2*h + 4*a = 6*h - 4, 0 = -4*h + a - 2. Let r(n) = h*q(n) + b(n). Solve r(d) = 0 for d.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2379*s - 117. Let d be -1 + 113 + 14 + (3 - 12). Let k(v) = 41*v - 2. Determine d*k(w) - 2*n(w).\nAnswer: 39*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u*u**(1\/23))*u)\/((u*u**(-26))\/u))\/(u**(-7)\/u)**(-3\/8) assuming u is positive.\nAnswer: u**(551\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 17*s**2 + 14*s + 458. Let x be m(19). Solve -5*r + 6 - 3 = c, 0 = x*r - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 0 + (-2 - -2) - (-94 - -95)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.135 + 2.135. Sort 0.62, -0.3, x.\nAnswer: -0.3, 0.62, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38.2 - 35.2. Which is the smallest value? (a) s (b) 9.5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -11. Let j(x) = -109*x - 234. What is the tens digit of j(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100012 (base 3) to base 16.\nAnswer: -f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*u = -75*u + 5084. Is u >= 161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*f + 12 = -15, -4*f = 2*r - 4. Let o be (0\/(-6))\/(-6*(-5)\/30). Suppose r*s - 9*s = -2*m + 19, o = s + 5*m - 2. Let h(n) = n. Determine h(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3\/998 (b) 0 (c) -24 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0596 times -5.08\nAnswer: -0.302768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1)\/o)\/o)\/((o\/(o\/(o\/o**(-5))))\/o*o))\/(o**(-4\/11))**(2\/41) assuming o is positive.\nAnswer: o**(-4051\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epepemmm. Give prob of picking 2 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 24 = 28. Let o = 29 + x. Suppose -25 = 5*l, -2*l - 2*l - 1259 = -o*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51\/14 + -22\/7. Let o = -14 - -14. Which is the closest to 0? (a) o (b) t (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46514700 to the nearest one hundred thousand.\nAnswer: 46500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18693644 and 6.\nAnswer: 18693650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3304 + -3300. Sort 0.3, g, 4\/7, -3.6, -2 in decreasing order.\nAnswer: g, 4\/7, 0.3, -2, -3.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7 or -249610?\nAnswer: -249610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -89688361.9 rounded to the nearest 1000000?\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2783804*x**3 + 4*x**2 - 50525061*x + 2 wrt x.\nAnswer: 16702824*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*o - 3218. What is the derivative of -1610*s**3 + o*s**3 - 21 + 1 wrt s?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1239086 + 2590\nAnswer: 1241676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1211084092?\nAnswer: 2, 19, 15935317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4) - 0\/(-5 - -4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(833))**2.\nAnswer: -84*sqrt(17) + 3341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246546073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + 14.1. Let w = g - -5.2. Which is the closest to -1? (a) w (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*p**3 + 7*a**2 + 743*a*p**3 + a*p + p + 43 wrt p?\nAnswer: 6*a**2*p + 4458*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 12, z: 5, n: 2}. What is prob of picking 2 o?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 2:28 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.001 + 0.00077. Round w to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2.92. Let b = n + -14.08. Let f = 14.0115 + b. What is f rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6453?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**3 - 835*h**2 + 1655*h - 825 = 0.\nAnswer: 1, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48*5178.\nAnswer: 248544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(500) - sqrt(500) - (sqrt(500) + sqrt(500)*2*5)) + ((sqrt(500) + 1)*-4)**2 + 1.\nAnswer: 180*sqrt(5) + 8017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 141 + -a?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 87 = 3*p, 3*l + 58 + 0 = -2*p. Let k(a) = -a**3 - 30*a**2 - 38*a - 49. Is 10 a factor of k(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 5716 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 1. Suppose 2*a - 3 + 1 = 0. Let h(l) be the second derivative of -l**3\/2 - 2*l**2 - 2*l. Let j(g) = a*h(g) + 4*z(g). Let b(m) = -m. Give b(j(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*-4*((sqrt(320) + 2 - sqrt(320)) + 5*sqrt(5)*2 + (-2*sqrt(10) + sqrt(10))\/sqrt(2)*-4))**2.\nAnswer: 5376*sqrt(5) + 94464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -254\/1155 + 4\/105. Which is the closest to i? (a) 2\/9 (b) -3\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(396))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**2 + 14*h**2 - 8*h**2 - 10*h**2 + 26*h**5 wrt h.\nAnswer: 1560*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-11)\/5)\/(3\/(-111)). Let f = -81 + w. Let v = 72 - 359\/5. What is the nearest to f in 0.5, -5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 75 + 45. Let w(t) = t**2 + 22*t + 62. Let x be w(-19). Solve j + v*m = -24, x*j - 23 = 5*m + 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**2 - 3*u. Let z(y) be the first derivative of -10*y**3\/3 - 2*y**2 + 1. Let r = -72648 + 72643. Calculate r*z(k) + 7*h(k).\nAnswer: k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 642341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 20*y + 4*m = 23980, -4*y + 4*m + 19148 = 0. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = 5*x. Let j be -11 + x + (-2 - 3). Let o = j - -29. Calculate the remainder when o is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - f - 2. Let j be y(3). Suppose j*z = 5 + 7. What is the first derivative of 10*a - 10*a + z - 4*a**4 wrt a?\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -4359*u**4\/4 - 2*u**3\/3 + 3*u**2\/2 + 543*u - 820. Find the second derivative of g(b) wrt b.\nAnswer: -26154*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - ((-255)\/241)\/(-1). Let t = -204410040 + 886730734711\/4338. Let o = t - r. Find the common denominator of -59\/2 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4) + 12\/24. Is 3\/2 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -7*c + 17*v - 22*v, 4*c = -v - 29. Let t(y) = 9*y - 30. Let g(i) = 5*i - 15. What is c*g(z) + 3*t(z)?\nAnswer: 2*z - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, l: 3}. What is prob of sequence llxx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 5*b - 34, -2*c - b + 4*b + 21 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*a + 8, -f - 1 = -4*a + 3. Suppose -5*x = -4*y - 35, -a*x + y = -3 - 11. Let g = 42 - 22. Calculate the remainder when g is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -30460*h + 6. Let f(r) = -r. Let x(j) = -4*f(j) + l(j). Let n be x(-6). Let i = n + -66742. Round i to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(190))\/(1*sqrt(80)\/sqrt(8)) - (sqrt(76)\/(sqrt(8)\/sqrt(4)))\/(6*(1*sqrt(2) - sqrt(2)) - sqrt(2)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -76*s**3 + 117*s**2 + 119*s + 1. Calculate z(-1).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 104, 162, 220, 278, 336?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 - -355a?\nAnswer: 3587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4266 or 4263?\nAnswer: 4263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -528 - -531. Let r be (a - 6\/(-2 + 4))\/1. Solve 5*z - 5*c - 20 = -r*c, 2*c + 6 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 576683912 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117493811 and 321?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t + 5. Suppose -3*n + 55 = 5*l, 2*n + 5 = 5*l - 0. Let m be 15\/2*(n\/(-15))\/(-1). Suppose 12 = 2*o + x, -m*o + 0*x + 16 = -x. What is a(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 43, -90, -345, -728, -1245?\nAnswer: -1902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219138 is divided by 2579?\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.33 + -3.5. Let t = v + 4.17. Let s = 75 - 226\/3. What is the closest to 0.1 in s, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 5:04 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 582 divided by -291.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 4451633303.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3684 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448463, -448464, -448465, -448466, -448467?\nAnswer: -448468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2296.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3866 or -8029?\nAnswer: -8029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 190\/6 - (-2)\/(-3). Suppose -17 = -j + z. Let g = 22995 + -22931. What is the highest common divisor of g and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*q**3 + 13*q**2 - 86 wrt q.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyyiiiyyyy. Give prob of sequence iyi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1141*t**3 - t - 10 + 3*t**4 - 1141*t**3 - t**4 - 5*t**4 - 3*t**2 as y*t + x*t**2 + k + s*t**4 + u*t**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 23*s**2 - 55*s + 28. Let k(c) = -c**3 + c**2 - 10*c - 1. Let d(a) = k(a) - x(a). Calculate d(-24).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 251*p**2 + 351*p**2 + 5*p**2 as t*p + n + o*p**2 and give o.\nAnswer: 607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4217393227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 9*b**2 - 3*b + 7. Let r be w(-7). Let j = 78 - r. Is (1 - 634\/3)\/(16\/j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*y - 0*c - 129, 3*y - c - 174 = 0. What is the remainder when 69 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*r - 51*r = -58*r - 352 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 104 in 5, -0.7, -0.2, 3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 2020?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -3 + sqrt(192) + -2*sqrt(192) + -2 - (sqrt(192) + (sqrt(192) - 3*(sqrt(192) - 1*sqrt(192))) + sqrt(192) + -1))**2.\nAnswer: 192*sqrt(3) + 1744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 10:25 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8\/(h**(-5)\/h*h))**(-24\/5)\/((h\/(h*h**3))**(24\/7))**(-21) assuming h is positive.\nAnswer: h**(-1392\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*t = 271*t - 1858327 - 1330393. Does 31 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4185*b*m*q**3 - 2354*b*m*q**2 - b*q**3 - 3*b*q**2 - 84607*q + 42 wrt m?\nAnswer: 4185*b*q**3 - 2354*b*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -61\/10, -0.4, -8\/9, -5, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9255 and 39774905.\nAnswer: 3085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8 + 7*c + 0 + 57*c**3 - 163*c**3 wrt c.\nAnswer: -636*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -680*v + 235*v - 50274 = 437*v for v.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*m**3 - 58*m**2 - m + 4468 wrt m.\nAnswer: 30*m**2 - 116*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 26 = 24 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 6*j**2 + 5*j - 24. Let o be l(6). Suppose 550 = -4*h + o*h - a, 285 = h - 3*a. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.1. Suppose u = -3*u. Let k = -0.241 - -0.041. Which is the nearest to u? (a) k (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 23 + 64 = -r, -51 = -3*y - 4*r. Suppose 0*x = 3*x + 2*l - 30, 4*l = 3*x - 48. Calculate the remainder when y is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10\/(-30) + 169\/3 and 63?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g = 25*g - 2034. Is 20 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 169 (b) 1\/18 (c) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 237 = g, 3*d = 2*d - 2*g + 48. Suppose -l - 4*l + d = 4*u, -5*l - 10 = 0. Suppose 97 - 31 = 2*p. Calculate the remainder when p is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in 106.9, 4\/7, 2\/3, 8?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 38*q**2 - 14*q + 36. Let k be s(10). Let j = 8843 - k. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7*y + 36 = 5*y. Solve -5*u = -6 - y, -2*o + 3*u = -2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 9:45 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1077100 or 1077101?\nAnswer: 1077100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/47358 and 121\/5262.\nAnswer: 47358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1192 and 6235352?\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1835 + -1820. Calculate the lowest common multiple of 1386 and m.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 9 = g + 6, 4*z - 5*g - 12 = 0. Let m = -171 + 171. Solve -z*q + m*q = 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*1*(-1)\/3. Let r = 16127.6 - 16123.6. Let s be (-32)\/30 + (-4)\/(-10). Which is the nearest to s? (a) z (b) 0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -227975652?\nAnswer: 227975651.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 5*d**2 + 0*d**2 - 4*d**2 + (6*d + 4*d - 4*d)*(d + 0 + 0).\nAnswer: 7*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*c - 617*c = 348*c + 44121 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 8 + 98*f + 4 + 34*f + 4 to u + n*f and give n.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 7*o + 2. Suppose 41*a = 48*a + 56. Determine w(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 6. Suppose -z + 2*z - 5 = 0. Suppose 7*r - 3*r + 4*o = 12, -4*r = z*o - 13. Solve -c = -r - b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/15)\/((-28)\/(-24) + 0)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 215 + 2*h - 4*h - 7*h - 223 to the form k*h + p and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -17 (c) 1\/2 (d) -0.04041669\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36011 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 10. Suppose -4 = 3*r - 58. Let l be 136\/36 + 4\/r. Solve -4*v + 3*b + w = 32, -l*v + b - 22 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 16287\nAnswer: 1\/16287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10642?\nAnswer: 2, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*q + 7*q**3 + 46*q + (0*q**3 - 5*q**3 + 4*q**3)*(1 + 1 - 3) - 2*q**3 + 7*q**3 - 2*q**3 in the form a*q + w*q**3 + j*q**2 + n and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 15*g - 12*g = 24, 0 = -5*b + 5*g - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 4:06 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -1176, -4, 4 in descending order.\nAnswer: 71, 4, -4, -1176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 782 - 784. Let v = 0.5 - 0.3. Which is the smallest value? (a) v (b) -4 (c) o (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/9 - 18780*i + 396774450.\nAnswer: 2*(i - 42255)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {l: 6, m: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 405537\nAnswer: -1216611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-1 - 0)) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-889)\/(9\/21 + (-30)\/21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10070*f**4 - 10070*f**4 - 201*f**5 + (-4*f**2 + 4*f**2 - f**4)*(-3 + 3 + 2*f).\nAnswer: -203*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbow. What is prob of picking 1 b and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -304.65 - -304. What is the second smallest value in r, -3, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -25*v**6\/9 + 8*v**5\/3 - 2*v**4\/3 + 4. Solve l(h) = 0 for h.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2))\/(1\/4). Let p = 2 - h. Solve 0 = 3*x - 4*l - 15, -3*x - 4*l + 7*l + 12 = p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54131 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 21*i - 8. Let j be p(-24). Which is smaller: j or 66?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/86147064 and 25\/18?\nAnswer: 86147064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 586717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -197 + 257. What is g in 55*g**3 - 277*g**4 - o*g**2 + 136*g**4 + 146*g**4 = 0?\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -10. Let l(r) be the first derivative of -4*r**3\/3 + 9*r - 29. Let x(w) = 2*w**2 - 5. What is n*l(i) + 5*x(i)?\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3\/5))**(4\/23)*y\/(y\/(y*y\/(y*y**(2\/39))*y*y))*y*y**24 assuming y is positive.\nAnswer: y**(126598\/4485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2671\/6 + -449. Which is greater: m or -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.999 take away -14.5585?\nAnswer: 13.5595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (5 - -33) - -4) + 46 + -56?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 232325*x + 2091330.\nAnswer: -5*(x - 9)*(x + 46474)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**6\/120 + u**5\/10 + 5*u**4\/24 + 3*u**3\/2 + 184*u**2. Let g = -7 - -6. Let t be (-28)\/(-4)*(g + 2). What is i(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4860)*3 + sqrt(4860))*-3)\/(sqrt(108)\/sqrt(144) + sqrt(36)\/(sqrt(3)*-1)).\nAnswer: 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 minutes before 9:19 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 1679611321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 31*g**5\/12 + 5*g**4\/8 + 2*g**3\/3 + 9*g**2. What is the second derivative of d(m) wrt m?\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*m + 29. Let y be 20419\/m*2\/(-1). Let c = -1664 - y. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 12, d: 3}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r\/(r*r*r**(3\/5)*r))\/r))\/r)\/r**(-2\/23))\/(r*r\/((r**(-2\/3)\/r)\/r)*r*r*r**(-1\/5)\/r) assuming r is positive.\nAnswer: r**(-614\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1200 + (8\/16 - 1\/(-2)).\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 716814 and 56.\nAnswer: 2867256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 231267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 - 63. Suppose 5*k = -0*k, s = -3*p + k + 96. What is the smallest common multiple of 20 and p?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 4*p + 22*p + 8*p to the form j + d*p and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -4, 1.96, -111?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -1. Let v(o) = o + 1. Let l(y) = -d(y) - v(y). Let x(c) = c. What is -5*l(k) - 4*x(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, w: 5, v: 2, t: 1, g: 1}. What is prob of picking 2 v, 1 w, and 1 l?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o + 132 = -o. Solve 5*h = o*b - 14, h = 4*b + 6*h + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + 2 - 2 + (-j + 4*j - j)*(-5 - 1 + 4) + 0*j + j - 2*j + 2 - 2 - 7*j + (-j + j + 4*j)*(-3 + 6 - 1).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2 - 2 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 2:24 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*u + 1440 = 549 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1892, -683, 5, 3, -4.\nAnswer: -1892, -683, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(95) - sqrt(95) - sqrt(95)) - sqrt(95))\/(-3*sqrt(20)) + -2.\nAnswer: -2 + sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-235)\/(-70))\/(8\/(-16)) - -7\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 9*j - 7. Let l be v(-6). Suppose 3*r - 4*d + 7 = -34, 5*d - 32 = r. Let z = l + r. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3259.9 + 0.127.\nAnswer: -3259.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 6*v - 28, -v - 17*v - 4*v = 3*u - 2*v - 74 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 10*w**2 - 3. Let v(x) = 5*x**3 - 49*x**2 + 15. Let g(k) = 11*a(k) + 2*v(k). What is g(12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/23, 43684, -0.7?\nAnswer: 43684","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 2:36 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010010001 - -101111111000010?\nAnswer: 111010001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115800 and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 16. Suppose -2*k - 337 = 3*r, 2*k + 220 = -2*r + p*k. Calculate the common denominator of 115\/18 and 1 - 5 - r\/(-42).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5487231 is divided by 326?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -566 - -357. Let n = -74 - f. What is the tens digit of 1\/2 - n\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198 is divided by 1173?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3 = -3*j, -3*o - 18 = -4*o - 3*j. Suppose -4*t + 1782 = -2*d, -2*d = -o*d - 3. Suppose -2*f = 2*f - t. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 2*z = 0, 0 = -5*i + 9*z - 8*z - 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 9*b**2 + 9*b + 3. What is the remainder when l(-7) is divided by (13 - 0) + (-1 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 73887 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 + -45. Differentiate 7 - q - 9 + 2*k**3 with respect to k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -39324, -7 in decreasing order.\nAnswer: -7, -11, -39324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4.8. What is the second biggest value in m, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:18 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17.6 times -0.28\nAnswer: 4.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6402 is divided by 1227.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 39 = -5*u + 21, 0 = a + 5. Let l = u - 5. Factor 2*i - i**3 - 3*i - i**2 - 4*i**2 + l*i**2.\nAnswer: -i*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -306, -610, -914, -1218, -1522?\nAnswer: -1826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50604 = -513*i - 126*i - 294*i + 8175 for i.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*m**2 + 91*m**2 + 109*m**2.\nAnswer: 52*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 7. Suppose 6*t + q - 4 = t, g*t + 3*q = 0. Let d(x) = -x**2 - 6*x - 4. What is the smallest common multiple of d(-3) and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-1 - (13 - 7)) - -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 579, 2490, 5673, 10128, 15855, 22854?\nAnswer: 31125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.4 - 0.6. Sort 8, 5, u in ascending order.\nAnswer: u, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8*j**2. Let g(u) = 6*u - u**2 + 2*u**2 - 6*u. Calculate g(v(a)).\nAnswer: 64*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1044699497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104 - 73. Let g = -43 + 46. Let a be (g\/(-15))\/(3\/(-465)). Calculate the greatest common factor of a and u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + (-4 - (0 - -1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mupacmpxpappamxppuap. What is prob of sequence mxp?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3329.2 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122 + -122. Suppose p*x + 3*x = 7*x. Solve -3*b = -2*t - 15, -b = -x*t + t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 + 54 = -3*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 20 = -4*x, 0*s + 5*s = 128 + 127 - 265 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*y = -247*y - 3. Put -5, y, -3, 3 in increasing order.\nAnswer: -5, -3, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3. Let x(r) = 9*r**2 + 1. Let j be x(f). Let o be ((-54)\/(-4))\/(5\/j). Solve 2*s + o = -6*c + c, 0 = -4*s - 5*c - 29 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - l + 59 = -d, 0 = 2*d + 3*l - 122. Let n = 68 - d. Solve -n = -3*z + 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.12317 and -5944849.\nAnswer: -5944848.87683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + -1. Let k be (-16)\/g - (-64)\/(-48). Find the third derivative of 10*j**k + 2*j**4 - 32*j**4 + 5*j**2 wrt j.\nAnswer: -480*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17934 divided by 2?\nAnswer: 8967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (-6 - (11 - -3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + q. Let x be d(1). Suppose x*j - j - 8 = 0. Let l = 6 + j. Which is smaller: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 834 - 784.3. Let v = -47 + y. Let h = v - 4.6. Sort 0.4, -1, h.\nAnswer: h, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61538, -123074, -184610, -246146, -307682, -369218?\nAnswer: -430754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-13) + 189\/(-39).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3353157609 to the power of 1\/3, to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14512 = -7*k + 3*k. Suppose 3*o - k = -o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-280)\/200*(6\/21 - 0).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/7 or -413975\/7?\nAnswer: -413975\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k + 1. Let f(i) = -13*i + 509. Calculate f(n) - 6*w(n).\nAnswer: -n + 503","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13138 is divided by 692.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 37*n**2\/2 - 4*n - 59. Suppose -x = x - 4. Does 35 divide j(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22 - -4d5?\nAnswer: 4b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -28562*6*(-5)\/60 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1320 - -563?\nAnswer: 1883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 567180824?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 2)*(0*m**2 - 5*m**2 + 4*m**2) + (-2 + 0 - 4)*(-1 + 1 - m**2) + (m - m + m**2)*(-5 + 3 + 1).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3400)\/(-300))\/(2*1\/(-3)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*q - 48, 0 = -3*q - 9 - 6. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 216521356 to the power of 1\/3, to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000487323232 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(5\/8)*x)\/(x\/(x\/x**(-24))))\/(x**(-4\/3)\/(x*x**(4\/3))) assuming x is positive.\nAnswer: x**(697\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28090 rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:19 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b**3 - b**2 + 3*b - 2. Calculate n(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/15 - 14\/35?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 0*w + 1 - 2\/3*w**3 + 0*w**2. Let a(m) be the third derivative of -m**5\/12 - 272*m**2. Calculate a(h(f)).\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -23*z**3\/3 + 6. Let g(q) = -3*q**2 + 5*q - 5. Let d(t) = t**2 - 2*t + 2. Let y(w) = 5*d(w) + 2*g(w). Determine y(a(b)).\nAnswer: -529*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 5*h**2 + 11*h - 14. Let a be q(-7). Suppose 4*r = 4*f + 2036, 1527 = 3*r - a*f + 3*f. List the prime factors of r.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2364555, 4729106, 7093655, 9458202?\nAnswer: 11822747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -105*j**3 - 2*j - 1. Let y be x(-1). Suppose -2*t = 24 - y. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*40*(-15)\/(-3600)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**5\/20 - j**4\/2 + j**3\/6 + 3*j**2 - j. Determine h(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 20*m + 12. Suppose 65*s + 20*s - 1085 - 785 = 0. Give y(s).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, b: 3, f: 1, l: 1, p: 1}. What is prob of picking 1 q, 2 p, and 1 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 7. Suppose -6*d + 20 = -d. Let k be p(d). Suppose -2 = -5*m + 18. Solve -m = -j + k*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 2:26 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g = 26*g + 20. Suppose 3*r - 5*r = g*r. Let a be (9\/15)\/((-1)\/(-5) - r). Let t(i) = -i**3 + 4*i**2 - 2*i - 4. What is t(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4873.1108 to the nearest ten.\nAnswer: 4870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.251? (a) -4 (b) 1\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8319321*k**5 + k**2 - 166317*k wrt k.\nAnswer: -499159260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4\/2 - 9*o**3\/2 - 3*o**2\/2 + 9*o\/2.\nAnswer: 3*o*(o - 3)*(o - 1)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 24 - -2 - (-109)\/(-18)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 297.4 times -15986\nAnswer: -4754236.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1141*28301\/(-4043)\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 51. Suppose 3*i = 2*u + 83, u = 5*i - i - 104. Let c = z - i. Solve -c = 5*b + 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/3, -3\/35, 5, -1, 0, -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 17 = -3*z, 3*z + 44 - 15 = b. Let a(l) = l + 11. Let q be a(z). Let v = 0 + 1. Solve 3 = -4*g - 3*c, -q*c - v = 5*g - c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 6*s**2 - 4*s + 3. Let v be y(7). Suppose -4*r + 10*r - v = 0. Differentiate r*n**4 - 17*n**4 + 0*n**4 - 12 with respect to n.\nAnswer: -52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(64)*-2).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -6*h + 7*h - 4, 3*b + h = 3. Let n(z) = 14*z**2 + 2*z. Calculate the least common multiple of n(b) and 2*5 + -22 + 22.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 18 = -q + 15, 0 = -4*q - d - 7. Let w(h) = -8 - 2*h**3 + 0 + 1 - 7*h**2. Let v(i) = i**3 + 2*i**2 + 2. Determine q*w(t) - 7*v(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117438 is divided by 562.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 7*w**2 - 6*w - 2. Let r be q(-6). Let j be ((-3)\/(-6))\/(3\/(124 - -2)). Suppose 12*a = j*a - 13*a. Sort 2, a, 3, r in ascending order.\nAnswer: r, a, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -606 in -2, 1, 3, 4, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 290 = 5*m, -320 = 2*m - 7*m - 5*o. Suppose a - m = -34. What is the highest common factor of 125 and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000989285959 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 114*m - 16743. Let f be y(-85). Suppose -3*b = 2 + 4, 5*l = 3*b + 3876. What is the greatest common factor of l and f?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (6 - (3 + -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 + 371*c**2 + 916*c - 878. Determine u(-183).\nAnswer: -1061","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 995.5\nAnswer: -99.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 times 0.33?\nAnswer: 209.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -258, -261, -266, -273, -282, -293, -306?\n\"Answer: -v**2 - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -34, -225, -750, -1777, -3474, -6009, -9550, -14265?\n\"Answer: -28*q**3 + q**2 + 2*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3530*i**2 + 12216*i - 6. Let o(a) = -3530*a**2 + 12217*a - 7. Let q(c) = -7*g(c) + 6*o(c). What is the second derivative of q(s) wrt s?\nAnswer: 7060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 435, 1, 4, 1\/4, 0.04 in descending order.\nAnswer: 435, 45, 4, 1, 1\/4, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1781447.8 less than 877661?\nAnswer: 2659108.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3\/8 + 3675*o**2\/2 + 54007797*o\/8 - 54037201\/4 = 0.\nAnswer: -7351, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8 - 35*x - 1 + 9 + 25*x. Let a(v) = -2*v + 2. What is q(a(g))?\nAnswer: 20*g - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 + 25*b + 4*b**3 - 107 + 107.\nAnswer: 4*b**3 + 25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684360198?\nAnswer: 2, 3, 569, 22273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -349 - 50*u**2 - 45*u**2 + 347 - 65*u**2 - 13*u**2 in the form d + v*u**2 + p*u and give v.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yaaa when four letters picked without replacement from {y: 3, a: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/13*(2\/2)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6490485435?\nAnswer: 3, 5, 7, 2917, 21191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k + 2 - 373*k**2 - k**3 - 6 + 374*k**2 + 3*k in the form a*k + j + h*k**2 + s*k**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 18 = 3*s. Calculate the lowest common multiple of s and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*f = 1065. Let b = 213 - f. Solve 5*d - z + 1 = 0, -3*d + b*z + 4*z = 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/124 + (-14)\/(112\/(-150)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 20*d. Let g(u) be the third derivative of u**5\/20 - 7*u**4\/12 + 1434*u**2. Determine g(m(b)).\nAnswer: 1200*b**2 - 280*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -10*t + 22. Let w(y) be the third derivative of y**4\/8 - 7*y**3\/6 + y**2 - 81*y. What is -2*h(a) - 7*w(a)?\nAnswer: -a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5111, 41044, 138583, 328532, 641695, 1108876?\n\"Answer: 5134*u**3 - u**2 - 2*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*d, h + 7*d - 17 = 2*d. Let o(s) = -s**3 + 6*s**2 + 6*s + 4. Let j be o(h). Is j <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -649 + 5175\/8. Let t = n + 77\/40. Let b = -675 - -678. Put -2\/11, b, t in ascending order.\nAnswer: t, -2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t + 85*t + 6890 = -9*t for t.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j**3 - 7*j + 4*j**3 + 1 + 4*j**2 + 19*j - 20*j**3. Is l(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1856407.09 rounded to the nearest one hundred?\nAnswer: -1856400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 15*m = 2. Let c be (-5 - (-9)\/m) + 18\/4. Sort 3, c, -1 in ascending order.\nAnswer: -1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235902938?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) -0.21 (b) 0.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*r + 6 + 41*r + 36*r)*(-2*r**2 + 7*r**2 + r**2).\nAnswer: 18*r**3 + 36*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l + 2*l - 4*l)*((-1 - 2*l + 1)*(2*l + 2*l - 20*l) + (-1 + 1 + 2*l**2)*(-1 + 4 - 1)) as p*l**3 + t*l + d*l**2 + z and give p.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 598004 - 598013. Let d = -11\/10 - -8\/5. What is the closest to 1 in 0.3, x, 0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 + 35 - 20)*(-8*u + 6*u - 8*u) - u + 6 - 4 - 4 - 6 - 8*u + 6.\nAnswer: -549*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -364, -665, -966, -1267, -1568?\nAnswer: -1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/1)\/((-5 + 3)\/6). Let o(a) = -10*a**2 - 1 + 5*a + 5*a - 6*a + a**p. Calculate the remainder when 113 is divided by o(10).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33511 - h**2 + 33511.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 - 9*z - 7. Let l(p) = -p**2 + 4*p + 3. Suppose 30 = -4*k + 7*k. Let v(x) = k*l(x) + 4*a(x). Let v(m) = 0. Calculate m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2864879 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - d - 10 = 1, 64*d + 124 = 2*d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7426822 to the power of 1\/2, to the nearest integer?\nAnswer: 2725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 1\/900*y**6 + 0*y + 0 + 1\/1575*y**7 + 14*y**2 + 0*y**3 + 0*y**4 - 1\/75*y**5. Factor m(h).\nAnswer: 2*h**2*(h - 2)*(h + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3)*(-1357)\/48. Let s = 146\/9 + m. What is the common denominator of 91\/16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38180?\nAnswer: 2, 5, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7492864 a multiple of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71*(-273)\/555646)\/(((-3)\/2)\/(-3)).\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 13*w**3 + 18*w**2 + 5*w - 11. Let h(r) = 6*r**3 + 9*r**2 + 3*r - 6. Let l(s) = 11*h(s) - 6*t(s). Factor l(f).\nAnswer: -3*f*(f + 1)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 5*t - 180. Let i = t + 48. Calculate the lowest common multiple of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Suppose -z*o - 2 = -4*x, o - 19 = -3*x - o. Solve 15 = 4*j - j, 2*a + 9 = x*j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/5 - 54694*v**2\/5 - 373901856*v\/5 + 373956552\/5 = 0.\nAnswer: -13674, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*w + 18, 0*j - 3*w = -2*j - 11. Let t = -20 + 25. Suppose 5*b + 90 = 5*u, 0 = -t*u - 0*u + j*b + 84. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 - 235*y**3 - 2670*y**2 - 8640*y.\nAnswer: -5*y*(y + 6)*(y + 9)*(y + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(280)\/(sqrt(100)\/(sqrt(20)\/sqrt(2))) - (sqrt(448) + -1 + 2*sqrt(448))).\nAnswer: -22*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*l + 49, 4*m = -l + 3*l - 46. Suppose -3*z + 5 = 3*n - 1, -l = -5*n. What is the third smallest value in -0.5, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.32 and -0.11.\nAnswer: 0.0352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2950673, -5901344, -8852015, -11802686, -14753357?\n\"Answer: -2950671*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 162426 * -0.1.\nAnswer: -16242.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117*w**3*y**3 - 7*w**3*y**2 - 7*w*y**3 + 39*w*y - w + 3*y**2 wrt w.\nAnswer: -702*w*y**3 - 42*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(3\/(-3)) - -3. Let n = k - 1. Let s be (-2)\/(-5) + n\/(-5). Is s less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36533*b**3 - 18295*b**3 - 18235*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -207949*r**4 - 5*r**3 - 83483246*r**2 wrt r?\nAnswer: -4990776*r - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -8. Let a(q) = 2501*q**2 - 4*q. Let x be a(t). Round x to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 + 1\/2. Calculate the common denominator of (y\/(-6))\/(4\/270) and 18\/88*-18*(-39)\/78.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1023*m**3 - 9*m - 248*m**3 - 12*m + 20*m)*(-2*m - 1 + 1).\nAnswer: 2542*m**4 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -4. Sort -1, f, -2\/3 in ascending order.\nAnswer: -1, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68569 times 0.5?\nAnswer: 34284.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*11 + 2 + 1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1078 and 98?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117 - -122. Suppose 0*b - s*b = d - 2004, -5*b + 2008 = -3*d. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -577, -1224, -2109, -3232, -4593?\nAnswer: -6192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 48*c - 188. Calculate the remainder when g(12) is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/101 + -223\/707. Let p = 78 + -80. Let s be 0 + p\/4*6. Sort 1\/5, n, s in descending order.\nAnswer: 1\/5, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 941447.9 nanograms?\nAnswer: 0.0000009414479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-15)*(-6)\/21*-7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7058 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w = -41*w + 7995. Let d be (w\/155 + -4)*(2 + -3). Let j(o) = -o - 2. Let l be j(-2). Which is bigger: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 5*r = 5*g - 23, 0 = 3*g + 2*r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = f - 3*a, 14*f - a = 16*f - 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 7:48 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 848 and 120.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -49*c + 2499. Let v(p) = -17. Let h(n) = -d(n) - 147*v(n). Let k(j) = -25*j**2. What is h(k(a))?\nAnswer: -1225*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 20*b**4 - 3*b**3 - 177*b**2 - 333*b - 179. Let m(j) = -7*j**4 + j**3 + 59*j**2 + 111*j + 60. Let f(d) = 17*m(d) + 6*n(d). Factor f(p).\nAnswer: (p - 9)*(p + 1)**2*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(3*m**3 - 66*m + 95*m - 64*m).\nAnswer: 3*m**3 - 35*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 3:57 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388804*q**3 - 794 + 794 - 388805*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 25*f + 276. Let x be q(-7). Is x at least as big as 1209\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 12 = 0, 5*x - 4*c - 28 = -3*c. Suppose 4 = -2*u + 12. Suppose i = 9 - u. Solve -30 = -4*t + 2*j, -2*t + i*t = -x*j - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 12*k**2 + 10. Let c be p(-12). Let b(d) = 11 - d**2 + 0*d**2 - c - d - 6*d**3. Determine b(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 13 = 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 116*c**3 + 222*c**2 - 324*c + 19. Let y(z) = 23*z**3 + 44*z**2 - 65*z + 4. Let j(k) = -4*u(k) + 22*y(k). Factor j(t).\nAnswer: 2*(t - 1)*(t + 3)*(21*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 120210321?\nAnswer: 120210320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30005441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/18*19\/((-494)\/(-3042)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 18, 133.\nAnswer: 5, 18, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 881113682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -16*j + 17*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 2 = -c + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7117336 nanometers to micrometers.\nAnswer: 0.0007117336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -696 minus 10.803827902?\nAnswer: -706.803827902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*b**2 + 9340*b - 160960 = 0. Calculate b.\nAnswer: -2012\/9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -100263.022 to the nearest one thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*b + 161*b = 93*b - 130338. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 95\/5412 or 0?\nAnswer: 95\/5412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.1, -557 in decreasing order.\nAnswer: 0.1, -1\/3, -557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-6 + -11 - 0)) + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -264357 (base 16) in base 10?\nAnswer: -2507607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354428.\nAnswer: 2, 3, 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + 3*t + t - 5*t - 4 + 4 + (-5 + 2 + 2)*(2*t + t - 2*t) - 6 + 6 - 2*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*g**3*h**3*s**2 + 16005*g**3*h**3*s - 2*g**2*h**3*s**2 - 115105*g**2*s**2 - 2*g*h**3*s wrt g?\nAnswer: -180*h**3*s**2 + 96030*h**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - l = -18 - 2, 101 = 14*j + l + 273 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -4, 1, -1, 40540 in decreasing order.\nAnswer: 40540, 1, 1\/7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -59082123 and -0.04.\nAnswer: 2363284.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -2*l - 12, -114*l - 4*z + 18 = -117*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 43 - 171. Calculate the greatest common factor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = x + 1, 4*p - 12 = 8*p - 4*x. Let q = -337\/9 - 55\/18. Calculate the common denominator of 73\/(0\/p - -24) and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 192685, 192682, 192677, 192670, 192661, 192650?\n\"Answer: -d**2 + 192686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370617 is divided by 116.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -481683278 divided by 937127.\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 343317.9 centimeters in meters?\nAnswer: 3433.179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 407\/241262 - 8\/2721. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**3\/9 - 11552512*l**2\/9 + 23105030*l\/9 - 11552516\/9 = 0?\nAnswer: -5776258, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Let o be (1*(-1 - -16))\/3. Solve q - o*q = h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 19\/2 (c) -4 (d) -13103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 2, d: 2, j: 1}. Give prob of picking 2 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 6:07 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -161 * 0.03365\nAnswer: -5.41765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2052526993?\nAnswer: 11, 16963033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10, u: 10}. What is prob of picking 1 d and 3 u?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**3 - p**2 - p. Let w be d(2). Let i be (6\/5)\/(4\/(-20)). Let k = i + w. Solve 3*y - y - k = 4*b, 4*b + 12 = -y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - a + 43. Suppose 55*p - 49*p = 0. What is k(p)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 2) + (-32)\/(-2). What is the remainder when (60\/s)\/(2\/30) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 254828*c**2 - 4058454432*c + 4058709264.\nAnswer: -4*(c - 1)*(c + 31854)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -338, -1295, -2884, -5099, -7934, -11383?\nAnswer: -15440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/4 - 39\/(-12). Suppose o*f - 445 = 71. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-11 + -2 - -28).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*m + 68 - 90 = 0, 2*m + 12 = 2*f. Let x(y) = y**3 + 7*y**2 - 3*y + 2. Let h(k) = -k**3 + k**2 + 1. Give f*h(z) + x(z).\nAnswer: 3*z**3 + 5*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 4) to base 7.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 390 and 702?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -30, 7, 4 in decreasing order.\nAnswer: 7, 4, 1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -10. Let b be 4\/((1\/6)\/n). Suppose -4*j + j = -b. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 3*c - 11\/12*c**4 - 2*c**2 + 0 + 16\/3*c**3. Differentiate j(h) with respect to h.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -1 + 2 + 8. Let b(c) = c - 46. Let l(q) = -2*b(q) - 11*y(q). Calculate l(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from xxlxe?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 78266196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {k: 2, x: 8, u: 2, z: 3, e: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -132203121330 (base 4) in base 13?\nAnswer: -1875771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 131699241 a multiple of 601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -19145, -4139, -5 in increasing order.\nAnswer: -19145, -4139, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + a - 12*a)*(7 + 7 - 7)*(-2 + 3 - 2) in the form m + q*a and give q.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, 9 in increasing order.\nAnswer: -10, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*y - x, 0 = -3*y + 4*x - 8 + 35. Let k be (-3*(-39)\/(-18) + y)*-2. Solve 3*b - k*t + 6 = 0, -b + 5*t + 10 = -0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2. Suppose a - 8 = 2*q, 2*q + q = -12. Suppose 59 = -a*z + z. Let h(v) = -z + 59 - 19*v. Give m(h(x)).\nAnswer: -361*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*n**2\/19 + 1821428*n\/19 + 17849034\/19.\nAnswer: 2*(n + 182133)*(5*n + 49)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -685*r + 10 + 308*r - r**3 + 306*r - 3 as n*r**2 + x + h*r + j*r**3 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 7*t + 2172 = 0. Let m = -120 - t. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*x + 1 = 0, -12*m - 11 = -10*m + x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 2 - 3*y**2 - y + 1\/3*y**3. Let l be k(6). Which is bigger: l or -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + (sqrt(152) - -1*(sqrt(152)*-2 - sqrt(152)))\/(2*sqrt(72)).\nAnswer: -sqrt(19)\/3 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 50095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*l + 5*n = 136*l + 640, 0 = 3*l + 3*n - 138 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + 254. Let r = w + -1447\/9. Factor 0 + 2\/9*y**5 + 2\/9*y**4 + 0*y - 2\/9*y**3 - r*y**2.\nAnswer: 2*y**2*(y - 1)*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.9344 litres in millilitres?\nAnswer: 170934.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3.5 (b) 2\/3 (c) -180250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.377 and 1265.\nAnswer: 476.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*v - 7. Let r(b) = -b**2 - v*b + b**2 - 2*b**2. Let m(s) = -s. Let g(q) = -5*m(q) + r(q). Give g(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*n + 47*n - 11 = u, 14 = 4*n + u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 14 - 1 = -4*u, 5*u + 15 = -5*j. Let h be (-1)\/((-10)\/4 - u). Let p be h - (2 + -3 + 0). Solve -p*f + 9 = -0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to -489\/407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 25 = -2*r, -5 = 545*f - 544*f. Solve r = 5*o + 589 - 569 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v + 6. Let g be (-4)\/(-8) - v\/4. Let h(x) = 14*x**3 + x**2 - x. List the prime factors of h(g).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73087948?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ifvbiiiivjviviizviii.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 27 - 2924*g + 57 + 3005*g.\nAnswer: 81*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 34. Solve w + 4 - u = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j - 3. Let d(k) = -6*k - 2. Calculate -6*d(r) + 5*m(r).\nAnswer: 11*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 5:03 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16 - -71014968\nAnswer: 71014984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1276\/12 - 8\/6 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -257 + 255.24. Let w = y + 2.76. Sort w, 41, -1\/2 in decreasing order.\nAnswer: 41, w, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2244\/153*(-12)\/(-22)*(-2)\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert b939d (base 15) to base 10.\nAnswer: 588073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 26984167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5015428 seconds in nanoseconds?\nAnswer: 501542800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 95913100 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 1)*(1 - 2 + 0)*(-t - 2*t + t - 2*t + 2*t + t + 2*t - 3 + 3 + (0 + 0 + 2*t)*(1 - 1 + 2)) to the form v + g*t and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 15. Suppose n - 52 = -12*n. Solve l = v + n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-2)*h\/h**4)**19\/(h**(1\/4)*h*((h\/(h\/(h*h**(-1\/4))))\/h)\/h*h*h**(-5)*h*h\/(h*h**6)) assuming h is positive.\nAnswer: h**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2158619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/3 + 1094*c**2 - 442736*c - 15010072\/3.\nAnswer: -2*(c - 826)**2*(c + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40875372.\nAnswer: 2, 3, 1135427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 2. Let j be m(4). Suppose -2 = -8*z + j*z. Let w(t) = 58*t**2 - t + 1. What are the prime factors of w(z)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3183158 divided by 144689\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.1 and -7.998.\nAnswer: 32.7918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-494250)\/(-10) - (-13 - -21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/742 and 97\/18.\nAnswer: 6678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 8*l**2 - 11*l + 1. Calculate t(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 2*y + 24 - 58 + 9 to d*y + a and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 (base 9) in base 6?\nAnswer: -1053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 643.6 - -310. What is x rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7176 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -96, 2, -1961?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/2 + -2 - 1\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69894298 to the power of 1\/2, to the nearest integer?\nAnswer: 8360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.761 + 0.239. What is the nearest to 2\/5 in 1, x, 0.1, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*m - 38 = -8*m, -2*l - m + 49 = 0. Let i = l - -4. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g**2. Let a(r) be the first derivative of r**5\/12 - 9*r**3 + 20. Let n(b) be the third derivative of a(b). Calculate n(x(u)).\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -724400 rounded to the nearest ten thousand?\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) -1 (c) -2\/15 (d) -17 (e) 3 (f) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56 or -35?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3206631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v + 7. Let s(i) be the third derivative of -i**4\/12 + i**3\/2 - 3*i**2. Let d(r) = 3*g(r) - 7*s(r). Let j(w) = w**2. Determine d(j(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 + -87. Let h be ((-6)\/s)\/(22\/(-990)). Suppose 4*o - 36 = 2*v - 0, -3*o - 5*v = -h. Solve -o*w = -4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2. Let k(p) = -37887308*p**2. Determine k(s(z)).\nAnswer: -151549232*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 159366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25996 - -70147. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) + sqrt(96) + sqrt(96) + sqrt(96) + 1*-2*sqrt(96))\/sqrt(3) - (sqrt(3200) + 1 + -2)**2.\nAnswer: -3201 + 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1170 - (-4)\/1)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21049102 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26919838*k**2 + 26919838*k**2 + 0*k + 0*k + 595*k**3.\nAnswer: 595*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18330 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 772*q - 157*q - 159*q - 150*q - 153*q - 151*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 99441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1227 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2. Let o be w(-2). Suppose -3*y = -2*i - 8 + 42, -3*y + 3*i - 33 = 0. Let j = 16 - y. Calculate the greatest common factor of j and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1248 - -3955. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 710076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 7:38 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141465?\nAnswer: 3, 5, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/40*1754 + 2\/5. Let z = a - -176. Let c = 7\/27 - -29\/27. Does c = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102435*h**3 - 139250*h wrt h?\nAnswer: -614610*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 4*b + 2*b)*(-3 - 1082*b + 1 + 2 + 591*b)*(-4*b - 8*b + 2*b).\nAnswer: 4910*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 3?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of ((-13)\/(520\/2568))\/(2\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 5*a**2 + a - 7. Let g = 0 + 5. Let i be x(g). Let b = 2 + i. What is the third biggest value in 4, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 5 (c) 0.11 (d) -1\/17 (e) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 11*s + 16 = 0. Suppose 3*g + 3*j = -j - 1, -4*j + s = 0. Let a be 2*(g\/2 + 3). Solve 5*q + 0*m = -4*m + 31, 3*q - a*m + 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3167953, 3167949, 3167943, 3167935, 3167925?\n\"Answer: -l**2 - l + 3167955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 4. Let z(d) = -d**2 - 8*d - 8. Let q be z(-6). Suppose -q*v - 4 = -16. Determine g(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - j. Let z be s(-1). Find the second derivative of -2*l**2 + 2 - z + l wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pctpplcctpl. What is prob of picking 1 l and 1 p?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/25 + 3406\/10. Let p = n + -230. Calculate the greatest common factor of 44 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26664.48 years?\nAnswer: 2666.448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1. Let n(l) = -12*l + 24. Suppose 2*k + 2*j = -10, 33*k - 36*k - 4*j - 19 = 0. What is k*n(y) + 24*w(y)?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38347363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, d: 6, z: 4, l: 1, t: 2}. What is prob of sequence ldz?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173 by -262.\nAnswer: 173\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 50, 64, 84, 110, 142, 180?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79345.71805 - 0.12.\nAnswer: -79345.83805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(441)\/sqrt(7) + sqrt(7) + 1 + -2 - 6*(4 + -2*(sqrt(567) + 0)))**2.\nAnswer: -4480*sqrt(7) + 88208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*p**3*z - 38*p*z**3 - 2*z**3 + 627*z wrt p.\nAnswer: 39*p**2*z - 38*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13347.6 + 241.80946.\nAnswer: 13589.40946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.997 - -2.11. Let v = -0.287 - w. Which is the closest to 5? (a) 0 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -211 + 2741\/13. What is the smallest value in i, -3\/2, -2\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 + 37*l**3 + 4 - 29*l**3 + 23*l**3 wrt l?\nAnswer: 93*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1007\/140 - -29\/4. Let r = u + -47\/210. Let l = -3.96 - 0.04. What is the closest to -0.1 in l, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**2 + 59208*o + 292132272 = 0. Calculate o.\nAnswer: -9868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -686*b**2 - 157781*b - 121. What is h(-230)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795*p + 47439 = 106269 for p.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 34310870?\nAnswer: -2\/17155435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63848 and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1522*a - 255 = -1573*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4156.238l?\nAnswer: 4156238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 344680 to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3269 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 6*g - 14*g + 32 + 4*g. Let d be a(14). Solve 2*y = -2*q + 6, d*y - 5*q - 19 = 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82 + -104 + 12 + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*o**5 + o - o - 32*o**5 - 26*o**2 wrt o.\nAnswer: 780*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*v - 54 + 16, 2*v + 24 = 4*x. Let f be (-138 - -6)*(3 + 28\/v). Calculate the greatest common divisor of f and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233238 less than 556?\nAnswer: -232682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 12*f - 32. Suppose f*g + 4*b - 4 = 0, 0*b - 10 = -5*g - 3*b. Solve -3*x + 8*x - a - 14 = 0, 2*x = -g*a + 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4290695?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -33*a**4\/8 - 10*a**3 - 57*a**2 - 2. Is b(-4) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i**2 + 2*i**2 + 1991*i**3 + 1346*i**3 + 11*i**2.\nAnswer: 3337*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + c - 4 + 0 - 1 - 2.\nAnswer: c - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4030 a factor of 471735743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 72*u**3 - 3*u**2 + 2*u. Let w be r(1). Let j = -61 + w. Suppose 27 - 7 = 4*o. Calculate the greatest common factor of j and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwkuwamwkwka. Give prob of sequence aaum.\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + h - 2)*(1 - 1 - 1) + 0 + 0 - h + (1 - 3 - 3)*(-9*h + 13*h + 24*h) + (-3*h + 6*h - 2*h)*(3 - 2 + 1) + 1 - 1 - 3*h.\nAnswer: -143*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69015413?\nAnswer: 83, 443, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axxaaax. What is prob of sequence xaxa?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29423?\nAnswer: 29423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -3 - y**3 + 1\/4*y**4 - 5\/2*y**2 + 4*y. Give v(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138295 is divided by 75.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.1, -5, -21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170.8 + -150.49. Let i = -21.26 - -0.26. Let m = z + i. Round m to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 6, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*t + 4304 = -10415. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11063.3 and 4?\nAnswer: 44253.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58021.326 seconds to hours.\nAnswer: 16.117035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3591 is divided by 1192.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 11 + 86. Solve 0*s = 5*s - k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**6\/60 + t**2\/2 - 3*t. Let r(x) be the first derivative of f(x). Factor r(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/66 and -67\/171.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 2 + 1 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 1. Let c be v(-1). Suppose c = 10*s - 12*s + 422. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164.9417 centuries to millennia.\nAnswer: 16.49417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*l + 12 + 112 + 89 + 261 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-10) + 10\/4. Suppose -35 + 5 = -h*z. Calculate the smallest common multiple of z and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 51344 - -2?\nAnswer: 51346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 314.2795 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -6. Let f = 1 - y. Let p = 389\/4 - 98. What is the third smallest value in -4, p, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*4\/(-24)*2. Suppose 7*u - 5*u = r. What are the prime factors of u\/((32\/(-84))\/(-8))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 29 + 5 = 0. Let c be -203 - (r\/18 + 20\/9). Let l be 182\/12 - (7 - c\/(-30)). Calculate the highest common divisor of l and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33.8 * -5.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/1 + 2 - (10 - 8). What is the greatest common divisor of 416 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36.1 - 108.1. Which is smaller: n or 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 736 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/4 + u**3\/4 + 119*u**2\/2 + 446*u + 912 = 0. Calculate u.\nAnswer: -8, -6, -4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 81? (a) -0.4 (b) -9 (c) -1 (d) 8\/9 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(36)\/sqrt(2) + 2 + -2)**2.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, 1, -2\/9, -0.2, 0.02?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from sscssssjckcsssccsss.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1818*c + 526*c + 800*c + 511*c.\nAnswer: 19*c","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62599 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 88 = -81. Let m(l) be the second derivative of l**5\/20 - 2*l**4\/3 + 4*l**3\/3 - 3*l**2\/2 - l. Give m(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -0.5, -8, 0.03, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 36, 58, 80?\n\"Answer: 22*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 1 + 7. Let a(y) = y - 9. Let n be a(g). Let v(l) = -l**3 - 5*l**2 + 2*l + 7. Let z be v(n). Sort z, 3, -5 in descending order.\nAnswer: 3, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 1010 - 984 = -t - 2*t, -59 = -t + 2*i - 25 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1167 - 801. Suppose -3*m + k + 2652 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -27. Suppose -h*u = -5*r + r + 296, -2*u = -4. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -332, 1\/171, 23, -1 in decreasing order.\nAnswer: 23, 1\/171, -1, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*c + 244 = 6*c, 0 = 2*c + 10. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5192 (base 12) to base 7\nAnswer: -34634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 158058679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/260 and 31\/416.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - n - 2135 = -2*n, 2111 = 3*y - 2*n. Calculate the remainder when y is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -56*y + 957 wrt y?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u = i + 64, -5*i - 440 = 5*u. Let b = -81 - i. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 + 20*q**2 + 32*q + 16.\nAnswer: 4*(q + 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2\/6 - 90*s - 2430.\nAnswer: -5*(s + 54)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -568, -567, -566, -565, -564?\n\"Answer: k - 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -4*k - 4, 17*r - 34 = -3*k + 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 752112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18305813 to the nearest integer?\nAnswer: 4279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118 - 108. What is the least common multiple of h and 82?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00026684952 rounded to five decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1131364, -2262756, -3394148, -4525540?\nAnswer: -5656932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0*r + r)*((0*r**2 + r**2 - 3*r**2)*(4 + 2 - 3) - 4*r + r**2 + 4*r + (5*r**2 - 6*r**2 - r**2)*(2 - 1 - 2) + r**2 - 2 + 2).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-1))\/(k\/k**1))\/(k\/(k\/k**2))**(-3\/4))\/((k**0*k*k)**(-39)\/(k*k*k**(-1)\/k)**(-11)) assuming k is positive.\nAnswer: k**(159\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 14) in base 2?\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37736 and 742.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*q**4 - 134*q**3 - 2\/3*q**5 - 744*q - 432 - 1420\/3*q**2.\nAnswer: -2*(q + 2)**3*(q + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(0 - -1))\/((-140)\/175).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 53705 = 59317. Let k be (-9)\/(-5)*127713\/w. Let h = k - 4\/2093. Calculate the common denominator of h and -91\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1438888 from -452.\nAnswer: 1438436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.13414 + 0.03414. Let w = -0.3 - -0.7. Let g = -0.3 + w. Which is the smallest value? (a) g (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2736317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -170*g + 174*g. Let j = g - 32. Solve -j = -5*m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2. Let l(i) = 360*i**2 + 43*i. Let b(u) = -539*u**2 - 61*u. Let v(h) = -5*b(h) - 7*l(h). Determine v(t(y)).\nAnswer: 2800*y**4 + 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/(a\/(a*a\/a**(-21\/4))))))\/a*(a\/((a\/((a\/(a*a\/(a\/(((a**8\/a)\/a)\/a))))\/a)*a)\/a))\/a assuming a is positive.\nAnswer: a**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h - 457. Calculate g(-48).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -137144*o + 137179. What is n(1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 58. Let a(h) = 7 - 4269*h + l + 1371*h. Let o be a(-6). Round o to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4538 = 1037. Suppose -195 = -8*q - u. Which is smaller: q or -114?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67628740057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 3, -83950 in decreasing order.\nAnswer: 3, -48, -83950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -10*x. Let t(u) = -2*u. Let a(d) = -3*p(d) + 16*t(d). Let n(z) = 14*z**2. What is n(a(g))?\nAnswer: 56*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, y: 6, e: 1, u: 1, a: 2}. What is prob of picking 1 p and 2 y?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 2. What is the units digit of n(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2454755 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1, -238, -2.1, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 5*s + 50. Let g(o) = o**2 + 11*o + 14. Let k be g(s). Put -5, k, -3 in ascending order.\nAnswer: -5, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**3 - 31488*d**2 + 61999860*d - 123873800 = 0.\nAnswer: 2, 3935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74191 is divided by 14800.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 2*m - 5*m + 398 - 27.\nAnswer: -3*m + 371","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156819, -627198, -1411181, -2508774, -3919983, -5644814?\nAnswer: -7683273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 7*b**2 + b + 11. Let y be h(7). Calculate the greatest common factor of y and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 25462?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = -9*a - 100. Sort a, 4, -3, 28 in decreasing order.\nAnswer: 28, 4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 154\/4*(2 + 0). Let u be 19\/3 + -9 + 260\/30. Find the second derivative of -u*b + 77*b**3 - g*b**3 - 4*b**4 wrt b.\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53929578.\nAnswer: 2, 3, 8988263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4 + 0*l**2 - l**2 - 1 - 7*l. Suppose 2*a = -a - g, 3*g = 2*a. Suppose -15 = -a*n + 4*n - 5*d, 4*d + 4 = 0. Give c(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04021, -154, 1, 0.5?\nAnswer: -0.04021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and -9367607.\nAnswer: 196719747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 383733 or 383739?\nAnswer: 383733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 1938?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 0*h - 4*h + 6*h. Let w(k) = 9*k + 8*k + 14*k - 28*k. What is w(l(m))?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - n + 24. Let m(z) = 2251*z**2 - 3109*z + 24. Let o(h) = -a(h) + m(h). Find the second derivative of o(f) wrt f.\nAnswer: 4498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335388667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 406, 490, 618, 814, 1102, 1506?\nAnswer: 2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 36, 53?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*2\/27 - (-84)\/621. Let s = -9.3 + 9. What is the third biggest value in s, 4, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3010, -2986, -2962, -2938, -2914?\nAnswer: -2890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 214588 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 35*i**2 + 6*i - 146. What is k(35)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 902*q = 903*q - 7. What is the hundreds digit of 8\/18 - (224000\/(-90))\/q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6*-2)\/(-6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**2*v**2 + 35*o**2 + 37*v + 1 with respect to v.\nAnswer: 2*o**2*v + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011101 + 211?\nAnswer: 1012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*z = -3*z + 380, 4*z = 5*o - 924. Let t = o - -60. Suppose 7*a = 3*a + t. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7330 = -16*a + 58882. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (68 - 32) + -98 - -74\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/(-384)*(-4)\/10.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 168108047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2\/5 (b) -4 (c) -3 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 41*m - 44*m - 5*g, 2*g + 50 = m. What is the highest common factor of 2650 and m?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.075 - 11.075. Let n = 12.08 + -1.38. Let j = u + n. What is the smallest value in 2, j, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 413 and 189?\nAnswer: 11151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 222120 (base 3) in base 6?\nAnswer: 3153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -41\/2. Let w(m) be the first derivative of 0*m - q*m**2 + 2. Let p(r) = -2*r**2. Determine p(w(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q - 327. Let r(t) = -3*t + 116. Let c(y) = -6*o(y) - 17*r(y). Give c(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 2068062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**6*z*z**(1\/35) assuming z is positive.\nAnswer: z**(246\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*g - 70 = -69*g. Let j(m) = -21*m - 16. Let r(c) = -63*c - 49. Let q(s) = g*j(s) + 5*r(s). Let n(x) = -4*x - 4. What is 11*n(k) - 2*q(k)?\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 47. Let z be (3\/(-4))\/((w\/(-16))\/(-7)). Solve 2*y = y + z*h - 9, -5*h = -3*y - 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1 - 5 = 0, 2*s = h + 13. Suppose -3*x + 12 = 2*x - j, j = 3*x - s. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025 a factor of 66130950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1aed9 (base 16) to base 14.\nAnswer: -2c2a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 44 - 30c?\nAnswer: -2c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4010 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -64 - 13?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*o - 128 - 583 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*11419833.\nAnswer: -2283966.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 15*k + 5*c + 962, -314 = k + 3*c. Let h = k - -334. Suppose 3*a + 5*j = 65, 6*a + 3*j - 57 = 3*a. Solve h*f + a = -0*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.72 (b) -2\/15 (c) 2881\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*c + 2*c + 27, -4*v + 33 = c. What is the remainder when 72 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 + 15*z**2 - 23*z. Let t be d(7). What is the biggest value in t, 0.5, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 60, 451, 1514, 3585, 7000, 12095?\n\"Answer: 56*p**3 - p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -72709 divided by -119\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1683 - 1683 - 2*t - 35*t - 96*t - 62*t.\nAnswer: -195*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + v**2 + 4*v + 1. Let t be q(-3). Let s be (-434)\/(-8) + (-3)\/12. Let i = t + s. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -4 (b) -1094 (c) -13\/4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76.868 + -0.132. Let x = 80 + y. Which is the nearest to x? (a) -2\/19 (b) 0.1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-18)\/3))\/((-8)\/(-6)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 6 = -3*a - f, 0 = 5*a - 2*f - 15. Let q be a\/(-9) - (-2)\/6. Suppose q = 52*h - 56*h + 260. What are the prime factors of h?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144648049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 684 + 1048.3.\nAnswer: 1732.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 693958.63721 + -1295016.63723. Let b = 601051 + x. Let i = b + 7. Round i to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((81 + -81 + -1 + 7 - 3) + 57)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 0*u - 3*s - 11, -u + 4*s = -11. Let f = -4338 - -4415. Calculate the highest common factor of f and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210112111 (base 3) in base 15?\nAnswer: -49ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 4*r - 5*f + 19, -r + f = 1. Let j be (112 + -111)\/(1\/r). Let g(i) = -i**2 + 6*i + 2. Give g(j).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4*i**2 + 2*h**4 - 21*h**3*i - 6*h**2*i**2 + h**2*i wrt h?\nAnswer: 48*h*i**2 + 48*h - 126*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563*w - 519*w - 516*w + 1605*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 0.6 (b) 0.3 (c) 4\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*m + 87*m + 1 = 5*k, -k = -4*m + 4. Let i = 6 - 5.1. Let j = i - 1. Which is the closest to 0.1? (a) -5 (b) k (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25004949395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 823 = -m, m + 0*m - 825 = -2*o. List the prime factors of o.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 2388542.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.4 and -0.05.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 195 - 193. Suppose 3*q - 669 = -u*q + k, -395 = -3*q - k. Is 23 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(-3 + 5 + -3). Let i(y) = y**3 - 2*y**2 - 4*y + 3. Give i(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740289 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*w. Suppose -u + 20 = 4*u. Suppose 2*i + 2*v = -u, i = -0*v + 2*v + 7. Solve w = -c - 2 + i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 2:23 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*c - 9 = 12, 0 = -4*c - 12. Calculate the smallest common multiple of q and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/6)\/(5\/45). Let s(c) = c**2 - 2*c - 3. What is the remainder when 46 is divided by s(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 233861940 and 11120?\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -70\/29 (b) 24 (c) 444 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13885748 divided by -10301.\nAnswer: 1348","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*y - 14. Let a = -82 + 1068\/13. What is the closest to y in -1, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 288950979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**2 - f**2 + 2*f**2 + 7*f**2 - f**3 in the form g*f + v*f**2 + p + t*f**3 and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12.5 and 0.83465365?\nAnswer: 13.33465365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 98204269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from dtjjj.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7720612 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**4\/4 - 2*z**3 + 7*z**2\/2 + z - 2. Give i(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 211700411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/5)*a**(1\/4)\/a)**(-1\/3) assuming a is positive.\nAnswer: a**(19\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -88 from 99.6700781755.\nAnswer: 187.6700781755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/5))\/((z*z*z*z**1*z*z)\/z*z))\/(z\/(z*z\/(z**(-2\/7)\/z)))**(-44) assuming z is positive.\nAnswer: z**(-3709\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - -59. Let x = i + -59. Solve 0 = -2*n + 3*y + 8, -2*n + 2*y = 7*y + x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 1033*j - 1030*j - 65 = 0, 39*j = 2*m + 577 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7307*c + 7307*c + c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + 3*h**2 - 6*h**2 - 2 + 2 - 4*h**2 + (4*h - 2*h - h)*(3*h - 4*h - 2*h) - 6417 + 6417 + 121*h**2 to the form f*h**2 + x*h + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -153, -1\/3, -3, -5, 5, 0.2, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 806175851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s - 2*s - 13*s + 6*s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -5 - 1033*3. Let z = -24873\/8 - l. Calculate the common denominator of z and -139\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 + z**2 - 4. Let r be h(-3). Let l = r - -53. Suppose 141 = 4*o - 3*n, -3*o + 0*n = -l*n - 97. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49? (a) -4\/5 (b) 1 (c) -4\/9 (d) 644 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4986721109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*o - 333 = 34, -u - 59 = 4*o. Let g = -74 - u. Put -1, -75, g in descending order.\nAnswer: g, -1, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 17*l + 20*l + (-2 + 0 + 3)*(2 - 2 - 2*l)*(4 - 2 - 6).\nAnswer: 43*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0*d - 1\/4*d**4 + 0*d**3 - 2*d**2 + 0. Let b(q) = 5*q. Let v = -3 - 1. Determine v*b(s) - 3*g(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 14 = -5*x, -4*x - x - 5*q - 15 = 0. Let i(k) = -k**2 - 3*k - 1. Determine i(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u - 3. Let l(n) = -2*n**2 + 7*n + 9. Let k be l(5). What is f(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5264 divided by -78.\nAnswer: -2632\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.011 and 0.2.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -12*u**2 + 4*u + 3. Let r(f) = 24*f**2 - 7*f - 5. Determine 3*r(b) + 5*z(b).\nAnswer: 12*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12668426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -105. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*o**3 + 4385*o**2 + 41393*o + 37035 = 0. Calculate o.\nAnswer: -4115\/27, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s - 4*f + 3, 0 = -4*s - 2*f + 8. Is s at most 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71930 is divided by 391?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -114*o**3 - 14*o**2 - 30*o - 18. Calculate h(-1).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 41\/5, 27018, 1\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(((-624)\/8)\/(-13))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*l + 1, -23 = -5*h + l. Let n be 6\/10*(0 + h). Suppose n*x - 4*x = -11. Solve -3*z = -4*i - x, z + z = -i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 5*p**2 + 5. List the prime factors of k(6).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 - p - 5. Suppose 4*b - 28 = 0, -3*c + 206*b + 25 = 210*b. Let a(l) = 1. What is c*y(v) - 5*a(v)?\nAnswer: 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 181\nAnswer: -1086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.03 (b) 5 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*s**4 - 2*s**3 - s**2 - 12*s?\nAnswer: -168*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -444354 - -994154. What is y rounded to the nearest ten thousand?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.00004 - 22. Round m to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 468 + -1025. Let j = 624 + x. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -12. Let z be ((-32)\/5)\/(-2 + 24\/15). Let h be (2 - (-3)\/(-6))\/(c\/z). Solve -4*x = -2*x - 2*o, h*x + 3*o = -20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (288\/(-384))\/((-3)\/44)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 2, r: 1, l: 7, b: 1, q: 2}. What is prob of sequence vv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 11:29 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 greater than or equal to 2436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 78 = -5*v, 8657*v = 6*z + 8660*v - 51 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-9*(-4)\/(-90).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95909*a + 47949*a + 47960*a - 467*a**2.\nAnswer: -467*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465293?\nAnswer: 465293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -2*t**5\/45 - t**4\/2 - 16*t**3\/27 - 160. Factor f(k).\nAnswer: -2*k**2*(k + 1)*(k + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 942938223?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -9. Differentiate -2 + 3 - 2 + 2*t + u wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 - 196. Let x = -6 - n. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*7.4.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -413831 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 9*h = -1568. Suppose -12*r = -h - 256. What is the remainder when r is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-4*sqrt(99) - sqrt(99)) + sqrt(99)) + (1*sqrt(99) + sqrt(99))*5)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x**3 + 10*x**2 + x. Let a(q) = q**3 - 2*q**2 + q + 1. Let c(s) = 3*a(s) + y(s). Let j(z) = 4*z**3 - 5*z**2 - 5*z - 2. What is -5*c(b) - 4*j(b)?\nAnswer: -b**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**(-2)*a)\/a**(2\/11)*a**(6\/11)*a**(2\/11)*(a*a**(-1\/2)\/a*a*a)**(-30)\/(a\/a**(-7)*a**(-6)) assuming a is positive.\nAnswer: a**(-489\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1))**(-31)*(x**1)**(-26\/3))**(-2\/169))**(-8\/3) assuming x is positive.\nAnswer: x**(1072\/1521)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1103*h + 7671 = -26522 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etllnouueoeu. Give prob of picking 1 n, 2 l, and 1 o.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 6*g**2 + 3. Let y be q(-6). Let t be -4 + (2 - (-4 + y)). Let u(h) = -3 - 4 + h + 8. Let f(w) = w + 2. Determine t*f(m) + 2*u(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 368198 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12353.987181 - -12354. What is i rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12, 71, 176, 333, 548?\n\"Answer: j**3 + 17*j**2 + j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 - -100.28. Put 0.5, 0.3, 2, f in increasing order.\nAnswer: f, 0.3, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*l**2 - 28*l**4 - 381 + 782 - 400 + l**3 to the form f + z*l + m*l**4 + b*l**2 + g*l**3 and give b.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14126 and 1.\nAnswer: 14126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -99d9?\nAnswer: -99d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alv when three letters picked without replacement from vaaaaavaavvvvlq.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/54 + 4\/(-18). Solve r = -f - 4*f - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -348?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 1. Let m(p) = -16*p + 7. Let a(z) = z**2 + 9*z + 9. Let f be a(-8). Let k(i) = f*m(i) + 4*x(i). Let d be k(1). Which is greater: -3\/68 or d?\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + 4*4\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*j + 4308 = -51*j. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7658 + -5.2097823.\nAnswer: 7652.7902177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -5*l - 0*h - 6*h - 15, 0*h + 2 = -3*l - h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 3. Let x = 2.2 + q. What is the smallest value in -2, x, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 36*v**3 - 89*v**3 + 28*v**3.\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/7 + 2\/3. Let u = -0.0388 + -4.9612. What is the second biggest value in z, u, 2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 17712 - 17727 = -d, -r - 3 = d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99497720.\nAnswer: 2, 5, 7, 269, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15854\/9 + 60\/135. Is m at least as big as 1764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*r - 12176 = 258*r. Suppose 33*g + r = 4*c + 37*g, 5*g - 5 = 0. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 13, o: 3, r: 3, h: 1}. Give prob of picking 1 o, 2 r, and 1 h.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 322 - 524 = -4*x, -x - 1128 = -4*p. Let n = p - 234. What is the highest common divisor of 528 and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**3*r*r**(2\/47)*r**(8\/7)*r*r**(-3) assuming r is positive.\nAnswer: r**(1048\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 11. Let t(v) = -23*v**3 - 1. What is the units digit of t(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42562177*u**3 + 43265663 wrt u?\nAnswer: -127686531*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -600, -1221, -1858, -2505, -3156, -3805?\nAnswer: -4446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 544 (b) -1\/61 (c) 4 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -180*f - 6657. What is d(-37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-82)\/8 - 70\/(-3)*1020\/2380. Let y = 1 - 1. Put y, 5.1, o, -1 in ascending order.\nAnswer: -1, o, y, 5.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 223.2715 milligrams?\nAnswer: 223271500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {a: 7, k: 12}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2970214417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52807*l + 7*l**3 + 52807*l.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, 7, 0.4, -2, -14, 50.2.\nAnswer: -14, -2, 0.1, 0.4, 1, 7, 50.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 17.98.\nAnswer: 16.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 18*d**2 + 32*d + 22. Is u(27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56644 (base 7) to base 8.\nAnswer: -34065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662 is divided by 322?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/11)*g**(-8))**39 assuming g is positive.\nAnswer: g**(-3354\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4180*n*z - 1737*n + 5 wrt z.\nAnswer: 4180*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p + 10. Which is the closest to -1? (a) 0 (b) 3\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6058, -12126, -18194, -24262, -30330, -36398?\n\"Answer: -6068*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 63 = 21. Calculate the least common multiple of 6 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (4 - 5) + -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19007, 19505, 19991, 20465, 20927, 21377, 21815?\n\"Answer: -6*s**2 + 516*s + 18497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6333426955 - -2.\nAnswer: -6333426953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2 - 7. Let u = -24.945 - -25. Let g = -0.255 + u. Sort g, b, -3 in ascending order.\nAnswer: b, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + 20*w**5 - 100*w**5 + w**4 + (2 - 5 + 1)*(-2*w**5 + 0*w**5 + 0*w**5) - w + 5*w**5 + w.\nAnswer: -71*w**5 - w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 1:29 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*u + 73*u - 105*u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(12) + -5)**2 + (0 + 2 + sqrt(38)\/sqrt(2))**2.\nAnswer: -sqrt(19) + 211\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.078 (b) -5 (c) 6 (d) -70 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (10442\/(-5221))\/((-3)\/99*-2)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.127 + -0.598. Let y = c - 0.029. Suppose 2*s - 10 = 0, -23 = -w + s - 5*s. Sort y, 5, w in descending order.\nAnswer: 5, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14148 and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*f + 6*k - 18, -4*k = -2*f - 12. Let h = 0.22 + -1.22. Let z = 165\/4 - 41. Which is the third smallest value? (a) z (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.23 * -0.205\nAnswer: -0.25215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q - s + 17, -2*q + s = 8. Let d be 2 - 2\/10 - (-14)\/70. Suppose -5 = d*j - 1. Which is smaller: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 7)*(13 - 12*g - 44*g - 12) as b + j*g and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 21*m**2 - m. Let x be c(-2). Let y = x - 52. Suppose -3*u = -b + 34, 0 = -b + u - 3*u + y. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + -17 - (0 + -1). Let s be 3 + g + 2 - -5. Find the second derivative of s*u**5 - 2*u - 2*u - 4*u**5 - 2*u**5 wrt u.\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -83*m - 2849. Calculate p(-34).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**4\/12 - 5*l**3\/3 - 7*l**2\/2 - l. Let k be p(-7). Solve 10 = -5*w + 5*v, -3*w - k = -8*v + 3*v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*l + 16*l - 63. Let n be ((40\/l)\/4)\/(12\/(-18)). Solve 5*t + 12 = -n*a + a, 0 = 2*a + 3*t + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1479)\/102*249\/(-48140).\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -13*p**2 + 2*p - 145. Let w(g) = 7*g**2 - g + 72. Let h(n) = -6*c(n) - 11*w(n). What is the tens digit of h(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 6*b - 4*b - 26.\nAnswer: 2*b - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + a**2 + 1. Let s(t) = 6*t**3 - 3*t**2 + 4*t - 6. Give 5*c(z) + s(z).\nAnswer: 11*z**3 + 2*z**2 + 4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*n - 5*g + 96152 = 56*n, -5*n = -3*g - 160242. What are the prime factors of n?\nAnswer: 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647857011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*7\/(-7))\/(-1 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -6. Suppose -4*i + f + 0 = 2*n, 3*i - 5 = -n. Suppose i*v - 18 = 2*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3*j + 0*j - 14 - 4 in the form w + l*j and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700*z = 711*z + 55 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 935?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g\/g**(-2\/11))\/g*g**(-1\/8))**4*(g**(3\/7)*g\/g**(1\/4)*g)**(3\/8) assuming g is positive.\nAnswer: g**(22285\/2464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11285 divided by -61.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4 = -m - y, 0 = 4*m + 2*y - 8. Let z be 0\/((40\/(-12))\/(-5)*3). Suppose -4*d - 3*f = 11, 5*d - 5*f - 30 + m = z. Let p(t) = -t**2 + 1. Give p(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 - (2 + 9)) - -32.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 0.04366122.\nAnswer: -2.95633878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 - h**2 - 8*h + 6. Let t(c) = 4*c**3 + 2*c**2 + 17*c - 13. Suppose 6*z + 20 = -58. Give z*a(w) - 6*t(w).\nAnswer: 2*w**3 + w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -405*n**4 - 1845*n**3 - 2720*n**2 - 1280*n.\nAnswer: -5*n*(n + 1)*(9*n + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238 and 309099882?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/((-116816)\/(-29208) - 4). Let z = i + 21. List the prime factors of z.\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Suppose 4*s = -10 - y. Put -0.4, 3, s in decreasing order.\nAnswer: 3, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2\/21)*z*z)\/(z*z**1))\/(z**1)**(-13\/7))**(6\/19) assuming z is positive.\nAnswer: z**(74\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5352 - 5432.63. Let m = 81 + u. Round m to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-48)\/4)\/(-3)*(-7915)\/(-20)?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 4:42 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311750?\nAnswer: 2, 3, 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*s - 8388 = -4911 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -428. What is the greatest common factor of v and 903?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1131\/580*5*(-7)\/((-84)\/(-16)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 27817.1922.\nAnswer: -27816.9922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6718*k + 1288*k + 380100 = 0 for k.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-459 - -480) + -2 + 0\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -198294 and -0.03 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/61, 3.544, -42?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-21))\/(12\/(-462))*3\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -10*q - 3. Let h be (-3)\/2*4\/3. Give t(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + -60 - -110 - 51) + 0 + (21 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67942 is divided by 5189?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13220314*g**3*y - 2*g**3 + 1638*g**2 - 77*g + 3*y wrt y.\nAnswer: 13220314*g**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 123798 rounded to the nearest one hundred?\nAnswer: 123800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54054 divided by -13.\nAnswer: -4158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -2889603?\nAnswer: 2889605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 2516266\nAnswer: 5\/2516266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.3 + 8. Let i = -3 + 25. Let l = i - 17. Sort p, l, -0.1.\nAnswer: p, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 7*v - 1. Let d be k(-6). Let f be 3\/6*(1 + 3). Let j = f + 2. Solve 3*x = -3*c - 9, -c = -5*x + d + j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 18 = 3*y. Let r = y + -3. Calculate the lowest common multiple of r and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8 (b) 10 (c) 4\/7 (d) 1\/9 (e) -1\/319 (f) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -15*v - 5. Let z(b) be the second derivative of -4*b**3\/3 - 3*b**2\/2 + 80*b. Give -3*q(c) + 5*z(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 j when three letters picked without replacement from uguju.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m = 8*m + 6*m + 72 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(833)*-1*-3 + -4*(sqrt(833) + 1) - 5*(0 + sqrt(833) + sqrt(833) + -1*sqrt(833))) + 5)**2*2.\nAnswer: 168*sqrt(17) + 59978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 911*n + 36898 = 5924 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 6 - (21 - (-15 - (24 + -45)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8658 divided by -4329\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41528*h**4 + 16*h**3 - 1846396*h**2 wrt h?\nAnswer: -996672*h + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3322367248 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*s**3*y - 2*s**3 + 16*s**2*y + s*y wrt s?\nAnswer: -90*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2197*u**4 - 2051*u**3 + 14411064.\nAnswer: -8788*u**3 - 6153*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12200817869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -243*a**2 + 2003*a - 14790278.\nAnswer: -486*a + 2003","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/1217 (b) 0.4 (c) -1.3 (d) -152 (e) 1 (f) 13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2\/3, -0.017 in decreasing order.\nAnswer: 2\/3, 0.3, -0.017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -37 - (-30 + -6 + 53 - 29)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -434432 (base 7) to base 4\nAnswer: -102203312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -33\/2*f**2 - 3\/2*f**3 - 48*f - 42 = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 9:41 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 89\/17, 4, 34, 2\/9?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1\/2 (b) -1 (c) -21 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-28))\/((10\/(-12))\/5). Let k(v) = -v**3 + 2*v**2 + 4*v. Let n be k(q). What is the third derivative of -1 - 4*s**6 + 1 + 3*s**2 + n*s**6 wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 5:25 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -30*k + 10. Let r be (4\/(-6))\/((-9)\/81). Let d(i) = -10*i + 3. Let p(l) = r*o(l) - 17*d(l). Find the first derivative of p(z) wrt z.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3\/4, 1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*(sqrt(17) - (sqrt(17) - (sqrt(17) + -1)*-4)) + -1 + sqrt(17) + (2*sqrt(425) - sqrt(17)))**2.\nAnswer: 12*sqrt(17) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 12060*p**2 + 12125*p - 144780.\nAnswer: -5*(p - 2413)*(p - 3)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19139?\nAnswer: 19139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -27*t - 13 + 100 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/9 + -223\/450. Let u = -230 - -226. Find the common denominator of t and -1*u*(-287)\/700.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 339 times -1.39\nAnswer: -471.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 11*c - 2. Let w be x(-9). Round w to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.066 and 43.71329?\nAnswer: 2.88507714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 95.\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.00556 + -0.07556. Which is the nearest to n? (a) -1 (b) -3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**5\/10 - 13*d**4\/12 - d**3\/3 - 5*d**2 - 10*d. Let k = -16 - -26. Let b be c(k). What is b rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4))\/((-2)\/236). Let n = 14 + z. Let l = n - 14. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -9*g + 4*g. Suppose 7*u = 105 + g. Suppose -26 = -s + 5*o, -5*s - 2*o - 2*o + 14 = 0. What is the smallest common multiple of u and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by (-339)\/(-9) - (-10)\/(-15).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 10:00 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/48*-138)\/(3*(-7)\/21)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 285049.\nAnswer: 2\/285049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -1. Let w be (1\/(-2))\/((-3)\/30). Let j(f) = -f**3 + 5*f**2 + 5. Let g be j(w). Put i, g, 1 in increasing order.\nAnswer: i, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0023464 - 438739.9976536. Let s = i + 438426.831. Let y = 313 + s. Round y to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -46. Suppose 4 = -x*r + r. Is r >= 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -8*m - 3. Calculate the remainder when z(-4) is divided by ((-45)\/12)\/((-3)\/8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 16*v + 66.\nAnswer: -2*(v - 11)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2080921247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30750177 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(57)\/sqrt(12) + sqrt(19) + sqrt(19))) + 3 + 2 + (4*((sqrt(19) - -1*sqrt(19))**2 + sqrt(19)) + -1)*3.\nAnswer: 21*sqrt(19)\/2 + 914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 + y**3 + 4*y**4 + 0*y**4)*(0*y + 17*y - 2*y + (-1 + 0 - 1)*(-4*y + 6*y - y)).\nAnswer: 26*y**5 + 13*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 18840?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 + 91*w**2 - 132*w + 74. Calculate the remainder when d(44) is divided by 64.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*x - 9*x + 752 = 127*x. Which is the nearest to -0.34? (a) x (b) 0.9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -927, -0.08?\nAnswer: -927","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/6)\/(((-204)\/1428)\/(8\/(784\/(-18)))).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + 2 - s - 6*s - s**3 + 10*s to y*s**3 + i*s**2 + b*s + u and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 32. Let b be 1*o*3\/6. Do b and -1\/20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.11 + 0.1. Let p = -0.99424 + 0.89424. What is the fourth biggest value in 0, b, -4\/3, p?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -561 by -3.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 771236414 to the power of 1\/2, to the nearest integer?\nAnswer: 27771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 336 + -336. Let z(g) = -6*g**2 + 4*g**2 - 2 - g**3 + n + 2*g + 2*g**3. Calculate z(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -12, -153 - 31 = -2*d - 4*a. Suppose 121 = 7*s + d. Solve -s*b - c + 5*c = -8, -4*b - 3*c = 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6276?\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1001110001100110000?\nAnswer: -1001110001100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20355180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 258, 10, -1.1, 4\/7, -2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-105)*15)\/2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -27 + 3. Let z(m) = -m - 8. Let j be z(s). Solve 4*g - 4*i + 16 = -5*i, j = -5*g + i - 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*22\/286*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.038, -389, 21 in descending order.\nAnswer: 21, 0.5, 0.038, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/66 and 149\/546?\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 797884?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1416, -5698, -12832, -22818, -35656, -51346?\n\"Answer: -1426*x**2 - 4*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/18 + 22\/(-12). What is the biggest value in -0.2, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 6:59 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**5\/12 + 515*s**4\/24 - 1925*s**3\/3 - 5*s**2 - 93*s + 1. What is a in g(a) = 0?\nAnswer: -110, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3 - 12*j**2 + 12*j = 0 for j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 9860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/2 + (-1 - -5). Suppose 2*h = -5*m + 27, m - 8 = -5*h + j*h. Suppose -2 = -2*a + 3*i - 2*i, 3*a - 4*i - 3 = 0. Solve -m*y - 9 - a = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*f - 68 + 68 - 2 - f + 2 + (3 + f - 3)*(-1 + 0 - 1) + 0*f + 0*f - 2*f + 4*f + 0*f - 5*f)*(5*f**2 + 2*f**2 - 5*f**2).\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 269 = r, 5*r - 293 + 72 = -4*k. Let g be (1 - 0)*k\/(-16). Suppose -2*m = -t - 0*t, -4*t + m - 7 = 0. Which is greater: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -177 - -296. Let u = t + -125. Which is the closest to 2? (a) u (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 i when three letters picked without replacement from iahahhihihihaiiiaahh.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-160)\/(-250))\/(14\/35*-3).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 5308?\nAnswer: 207012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 9*v - 4. Determine s(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -141 + 132. Is w less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17928\/(-86652)*(-58)\/(-20). Let p be (-60)\/14 + (-4)\/(-14). What is the fourth biggest value in 1, p, b, 35?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(13) + sqrt(52) + -3)) + sqrt(13) + sqrt(65)\/sqrt(5)*-1)**2.\nAnswer: -12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -18 + -16 + 25 + 22.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-10) - 12\/15.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 - 152 = -60*b. Solve 3*s = -m - 8, b = -2*m - 5*s + s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2191 and -3.\nAnswer: -6573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*t - 170 = -498. What is the lowest common multiple of 11598 and t?\nAnswer: 11598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1451905, 1451961, 1452017, 1452073, 1452129?\n\"Answer: 56*i + 1451849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*w**2 + 7 - 2 + 2 wrt w.\nAnswer: -86*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*l - 5*n, -5*l + 2*n = -293 + 282 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 1. Let m(r) = r + 3. Determine m(z) - 5*q(z).\nAnswer: 6*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 238*t + 160908. Give b(-676).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 2.777, -7, -4 in increasing order.\nAnswer: -7, -4, 2.777, 41","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3855 and 170160.\nAnswer: 43731120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34209529 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 188523.5 and 0.12?\nAnswer: 188523.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1056)\/2)\/4*229000\/6. Round z to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 297 and (2 - (-2)\/(-4))\/((-245)\/(-97020))?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75410543 + 3?\nAnswer: 75410546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1073307 is divided by 357688?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35846, -35589, -35332, -35075, -34818, -34561?\nAnswer: -34304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -834 - -415. Let w = a + 654. List the prime factors of w.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2124057.\nAnswer: 3, 13, 107, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/56, -15, 318?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1243656 or 1243626?\nAnswer: 1243626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 3*t**2 + 2*t - 1. What is q(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -867*c**2 + c - 1. Let r(f) = 85*f. Give w(r(z)).\nAnswer: -6264075*z**2 + 85*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/32)\/(((-405)\/36)\/15)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 21*b - 120 = 0. Calculate the remainder when 35 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 4*x + 28476, -8*x + 6*x - 35607 = -5*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107874 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1571734\/(-48892) - (-45)\/306\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 = -2*o + 2, -o - 13 = -4*h. Let c(i) = -h + 3 + i**2 - 2*i**2. Let q(x) = -2*x**3 - 10*x**2. Let z(t) = -6*c(t) + q(t). Factor z(j).\nAnswer: -2*j**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24200 + 18696 = -3*u + 7*u. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1172*a**2*b**2*g**3 - 9*a**2*b**2*g + 5*a*g + 2*b**2*g - 593*b*g**3 + 66*b wrt g?\nAnswer: -7032*a**2*b**2*g - 3558*b*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**3\/6 + 21*r**2\/2 - 5*r. What is the remainder when j(-9) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 3*o + 5*o + 5*o - 16*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1875336 divided by 78139\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 327826175?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 17 = -c + 4*k, 153755*k - 43 = 26*c + 153760*k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 1615169*l**2\/3 - 59761252*l\/3 - 37\/3 = 0?\nAnswer: -1\/1615169, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-45))\/((-18)\/60)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.8518633 greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35.61 - -36. Let h = -0.01 - q. Let m = -0.3 - -3.3. Which is the closest to 0? (a) m (b) h (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*v**4 - 2 + 2 + (2 + 1 - 4)*(v**4 - v**4 + v**4) - 1 + 1 + 8*v**3 + 2*v**4.\nAnswer: -15*v**4 + 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -317*l**4*x**2 - 11*l*x**2 - x**2 wrt l?\nAnswer: -3804*l**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 19*w + 26. Let g be r(-16). Let k be 238\/g + 74\/(-407). Put k, -6\/13, 3 in descending order.\nAnswer: 3, -6\/13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8\/(-10) - (-1 + 4170\/(-25))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8131 + -4880. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -22*j**2. Let m(k) = 59759*k. Determine m(n(w)).\nAnswer: -1314698*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1195 and 6.\nAnswer: 7170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 29*b - 114 = 3*v, -3*v - b = -2*b - b - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16016)\/468)\/(-308))\/(1*10\/18).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43191\/20 - 2160. Calculate the common denominator of (-2)\/16*194\/(-3) and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 131*i - 975. Let b be c(-7). Let p(w) = -3*w - 7. Calculate p(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = 4*p - 11*p. What is the smallest common multiple of 8 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6454*g**3*k**2 + 2*g**3*k - 3*g**3 - 4*g**2*k + 9*g**2 + 74*g*k**2 wrt g.\nAnswer: 38724*k**2 + 12*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f + 3. Let x be m(-2). Suppose 0*w - 5*w = -x. Calculate the remainder when 4 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/19 - 8970340*s\/19 - 10058374964450\/19.\nAnswer: -2*(s + 2242585)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 60 = 20. Suppose -4*v + 2*m = 7 + 1, 0 = -5*v + 5*m - i. Find the first derivative of -2*u**3 + v*u**3 + 2*u**3 - 6*u**4 - 7 wrt u.\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 3*f - 7*f - 4, -u - 4*f = 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5271\/(-60) - 12\/16. Let z = 89 + m. Let t(y) = y**3 - 6*y**2 - 9*y + 9. Let j be t(7). What is the nearest to z in j, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 - -9. Let g = 394.499 - 351.55. Let x = g + k. Round x to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 3*n**2 + 3*n - 4. Let i(k) = -k**3 + 3*k**2 + 3*k - 3. What is -3*h(y) + 4*i(y)?\nAnswer: -y**3 + 3*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 228181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m**2 + 96*m + 10. Let g be x(14). What is the second biggest value in 0.3, 0, -14, g, 3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(24)\/sqrt(128) + 3 + sqrt(3) + 3 - (5 + 6*(-1 + sqrt(243) - sqrt(3)))**2).\nAnswer: -389*sqrt(3) + 27628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 - 130 - 2938127*d + 256.\nAnswer: -2938127*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 3:02 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-3))\/(2\/(-15)). Suppose 0 = 3*k + 13*g - 131, 5*k - 17 = -2*g + 162. Let r = k - j. Solve -n - 4*n = -r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 289688 and 4128054?\nAnswer: 16512216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 118 - 236 + 67*z**3 + 0*z + 116 - 73*z**2 - z in the form k*z**3 + d + i*z + r*z**2 and give r.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnl when three letters picked without replacement from mnnnncnmnlcncnnnlli?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 316.15 - 316. Which is bigger: n or -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q**2 - 2*q**4 + 12*q**4 - 30*q**2 - 23*q - q**3 + 39*q**2 + 4*q**4 to i*q**3 + c*q**2 + g*q + f*q**4 + r and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 0*p - 4*p + 5 - 2*p + p + 0*p. Calculate f(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838 a factor of 21027934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 2*x + 3. Let n be b(2). Suppose g - 29 = -4*v, n*g = 5*v + 4*g - 32. Is 0 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627666281 + -1?\nAnswer: 1627666280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05081 + 6.94919. Let c be (-2)\/(-3)*(-3)\/2. What is the fourth biggest value in c, d, -0.5, -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15940?\nAnswer: 2, 5, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*y - 1158 = -44*y - 12758. Calculate the remainder when 1159 is divided by y.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (20\/(-6) - -4)*(-4258329)\/(-103)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 6:05 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 3. Suppose 0 = p*h + f - 5, -h + 0*f = f + 3. What is the smallest common multiple of h and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3797, -14098, -30925, -54278, -84157?\nAnswer: -120562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.76305 kilometers?\nAnswer: 9763050000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-1)\/(1 - 0). Suppose -15*y = -13*y + 2. What is the second smallest value in 2\/7, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 766736*u**3 + 1835540*u**2?\nAnswer: 4600416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-126) - (202 + -117)\/(-255).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 966\/17 in -1\/2, -5, -748?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -5\/6, 2, 228\/109, 0.2, -5, 1?\nAnswer: 228\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 8:49 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -233.4537 rounded to 0 dps?\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 8 + 15 = 0. Let v(d) = 2*d**2 - 2*d - 1. Let r(f) = -f**2 - 2*f - 1. Let a(w) = x*v(w) + r(w). Let j(t) = 35*t**2. Determine j(a(y)).\nAnswer: 315*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = b - 8 + 2, 5*z = 2*b - 7. Sort z, -2\/9, -2\/3 in ascending order.\nAnswer: z, -2\/3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-4 - (-3)\/(-3) - -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-165 + 165 + 28*o)*(0*o + 3*o + 4*o) to the form q*o + b + z*o**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 637.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.06, 2\/3, -8620, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1789825?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-12 - -15 - (0 - 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 - 20*i**2 - 21*i + 12. Calculate w(11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 40*q**2 - 80*q - 42. Let s = 2 + 5. Calculate the remainder when m(-38) is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -s + 252, 5*y + 4*s = 8*y - 756. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346 > 1346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-144)*81\/(-15)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*j + 22*j - 23*j - 17*j + 1623)*(1 + 0 - 3) to o*j + h and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -702*g - 31587. Calculate p(-45).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**3 + l**2 + 4*l + 4. Let m be (-51)\/(-12) + (-4)\/16. Let a(u) = -1 - 3*u - m*u**3 + 3*u**3 + 0*u**3 + 2*u. Calculate 4*a(n) + x(n).\nAnswer: n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*v**4 + 920*v**3 - 315*v**2 + 5 wrt v.\nAnswer: 144*v + 5520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, v: 1}. What is prob of sequence zv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 0*r + 0*r)*(-1 - 3 + 0)*(-2*r - 2223*r**2 + 2*r - 1889*r**2).\nAnswer: 49344*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 9:34 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-18))\/((3 - 2)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) -1 (c) 184487 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 1.11, 1\/8, 2\/387, -7\/3?\nAnswer: 1.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/72*214*6\/16 and 75\/28?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 12) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2953.862 + 0.09?\nAnswer: 2953.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22127 + -18067. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 1)\/((2\/187754)\/((-8)\/(-16))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 126783 and -18.8.\nAnswer: 126764.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 126.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**0)**(-2\/75)*v\/v**(-7)*v**(-2)*v)\/((v\/(v*v\/(v\/v**(2\/7))))\/v**(-4))**43 assuming v is positive.\nAnswer: v**(-80189\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h - 99 = 17*h. Solve -6*z = -h*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k*k**(2\/3))))\/k*k)\/k**4)\/((k**(3\/4)\/k)\/(k\/k**(-6))) assuming k is positive.\nAnswer: k**(59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*z = -h + 12, 0 = -3*h - 3*z. Calculate the highest common factor of h and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 219983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ismgwgmwgww. What is prob of sequence igiw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52.8 and -4.\nAnswer: 211.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4214 + -113738\/27. Find the common denominator of -43\/3 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.095 - -1.035. Let a = z + -0.24. Let j = 1.3 + a. What is the biggest value in 3, -5, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n - 310*n**3 + 10197*n**3 + 1947*n**3.\nAnswer: 11834*n**3 + 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -350, -588, -826, -1064, -1302?\nAnswer: -1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 10:28 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**5 - 5*h**5 + 3*h**5 + (-13 + 13 + 4*h**4)*(-2*h + 0*h - h) + (-3*h**2 + 0*h**2 + h**2)*(h**3 + 3*h**3 - 3*h**3).\nAnswer: -12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225, -232, -229, -210, -169, -100, 3?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 8:46 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.4, 1\/112, 1, -3 in decreasing order.\nAnswer: 1, 0.4, 1\/3, 1\/112, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 214948*z**2. Let v(u) = 5*u**2. What is m(v(c))?\nAnswer: 5373700*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 130, 68, -14, -116, -238?\n\"Answer: -10*n**2 - 32*n + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-124)\/(-28) + -5 + (-378470)\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701686383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-6 - 0 - (-13 - -17)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2958 a factor of 1976958594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -496311*b**2 - 610*b - 2693.\nAnswer: -992622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22441 = -614*v + 5832 + 22006 - 7913 for v.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4812 + -4813. Let a(s) = s**3 - 5*s**2 + 6*s - 2. Let p(g) = g**3 - g**2 + g. Determine y*a(n) + 6*p(n).\nAnswer: 5*n**3 - n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - l + 2*l)*(3*l - 7*l - l) + 2*l**2 - l**2 - 2*l**2 + (3*l**2 - 2*l**2 - 2*l**2)*(-3 + 5 + 0).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 7*p**2 - 2*p + 3. Let y be w(-7). Suppose -4*f + y = -3*b + 121, -3*b - f = -109. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1497 and 0.41?\nAnswer: 0.5597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 7*u**2 + 9*u - 7. Let a be y(6). Suppose -a*x = -6*x - 5. Suppose i + x = 2*d - 0*d, 3*d = 9. Solve -h - j - 4 = -3*j, 5*j = -i*h + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 145129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -202618.68 rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -179593 divided by -20\nAnswer: 179593\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 5*i + 2. Let l(f) = f**3 - 42*f**2 + 10*f + 6. Give -l(o) + 2*x(o).\nAnswer: -o**3 + 46*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a + 13. Let t(s) = s**3 - 3*s**2 - 56*s + 15. Let q be t(9). Let d(x) = -7*x + 26. Determine q*d(c) + 5*z(c).\nAnswer: c - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/6, -4\/7, 0, 3.13 in increasing order.\nAnswer: -4\/7, -1\/6, 0, 1, 3.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.047? (a) -1\/3 (b) 2\/29 (c) 4 (d) 249\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -109, 1\/3, 3, 1.24?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 8683*q + 2427*q - 2*q**3 + 1392*q + 2*q**2 + 2427*q + 2437*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 15) to base 12\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let d(w) be the second derivative of -5\/4*w**4 - 35*w - 13\/2*w**2 + 0 + 0*w**3. Let n(p) be the first derivative of d(p). Determine u(n(b)).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7528369 - -10057901469\/1336. Let j = -2\/167 - d. What is the smallest value in 3, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1849204 divided by 1\nAnswer: -1849204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1333609 or -29?\nAnswer: 1333609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 - 4*f - 5. Let x(k) be the second derivative of k**4\/6 + k**3\/2 + 2*k**2 - 9*k. Give -4*o(d) - 5*x(d).\nAnswer: 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/(-4*(-6)\/(-96))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -50 + 305 + -90 + -6 + -42\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1005105 - -121?\nAnswer: 1005226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 712 - 237 + 2*n - 241 - 234. Let j(t) = -24*t + 23. Calculate j(s(u)).\nAnswer: -48*u + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6500 and 583375?\nAnswer: 2333500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (4 - 1) - (-1 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -491*d**3 + d**2 - 11 wrt d?\nAnswer: -2946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 j when three letters picked without replacement from jjjjjjjjjzjjj.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*q + 56*q + 19*q**3 - 17*q**3 + 2*q**2 as n*q**3 + z + a*q**2 + k*q and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fwyw when four letters picked without replacement from {w: 2, y: 1, f: 1, e: 2, p: 1, o: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -9228639, -0.1.\nAnswer: -9228639, -18, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 9*w**5\/80 + w**4\/16 - w**3 + 3*w**2\/2 - w + 4. Solve k(u) = 0.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j. Let v(h) = 2*h + 0*h - 3*h. Give t(v(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 75*n**2 + 145*n + 140. Is y(81) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -0*f - f. Let k = 6 - f. Suppose 0 = -5*g + k, -b - 4*g + 28 + 71 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11443909?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 4. Let l = 0.24 + 11.76. Let z = l + -11.9. Which is the nearest to 0? (a) z (b) 0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 4*z - 7*z - 2*z**2 - 16 to the form h + l*z**2 + c*z and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*n**2 - 14*n**2 - 23*n + 51*n - 28*n - 14*n**2.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 4:34 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Suppose 3 + 7 = 5*b. Suppose -3*p + 10 = b*p. Let n(w) = -7*w**p - 3*w**2 + 7*w**2. Calculate u(n(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -262 (base 12) to base 5\nAnswer: -2422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 3:23 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1192918772 - 1192918797.07688215. Let n = q + 87.076879. Let j = n - 62. Round j to seven decimal places.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in 1\/3, -25, -5, 13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbr when three letters picked without replacement from {p: 4, b: 5, r: 7}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1224 is divided by 316?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-1)\/(2\/(-40)))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56414213 to the nearest integer?\nAnswer: 7511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.39 + 1.4. Let t = l + -2.01. Put -0.03, -0.4, t in descending order.\nAnswer: -0.03, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*f - 24 = -5*f, -2*s - 18 = -4*f. Let q(d) = d**2 - 6*d + 6. Let l(w) = w**2 - 7*w + 7. Give s*q(r) + 6*l(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.5 - -4. Let v = a - -2.5. Let s be ((-6)\/4)\/(24\/64). Sort s, -1\/3, v in decreasing order.\nAnswer: v, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 27 = 5*c, -2*q - 3*q = 4*c + 42. Suppose 4*b + 4*m = 5*b - 3, 0 = -4*b - 4*m + 12. Let k = b - q. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1693*h + 54 - 197 - 1690*h + (4 - 2*h - 4)*(1 - 4 + 1 - 1 + 1 - 2 - 3 - 1 + 2 + (-2 + 2 - 1)*(-2 + 0 + 1) - 2 + 1 + 0) as n*h + q and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/((-1)\/(-36)*8)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppw when three letters picked without replacement from wwpwwwwwwwpspp?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 9) + -11 + 4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/4, 3\/22, 4, -5, -6 in increasing order.\nAnswer: -6, -5, -7\/4, 3\/22, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 3\/3)*-1. Suppose 17 = 4*u - n, -3*u - 5*n = -x*n + 16. Determine o, given that 2*o**u + 2*o**4 - 3*o**4 + o**2 - 2*o**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 44. What is the closest to 0.1 in -3, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*a = 35*a + 12. Let x be (-35)\/2*-4 + -2. What is the common denominator of -79\/4 and x*-2*a\/352?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r - 17. Suppose 13 + 36 = 5*y - 2*m, m - 25 = -2*y. Let w be k(y). Suppose -5*v = q + q - w, q + 32 = 4*v. Solve 6*t = v*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12\/10)\/((-19)\/(-68305)).\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 10*a**2 + 11*a - 8. Let z be y(-8). Let p(w) = 2*w**2 - 34*w - 88. Let l be p(20). Let j = l - z. Solve j*i - 8 = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 11:06 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 249*o + 243*o - 497*o + 66. List the prime factors of r(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 5*c - 6*c)*(-20 + 9 + 43)*(1 + 2*c - 1).\nAnswer: 192*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*p + 7370 = 0, -3*p + 11 = 26. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 180 = f. Suppose -h = 2*q - 102, -3*h + 0*h + 306 = 5*q. Let v = f - h. What is v rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2.6, 7, -0.5 in increasing order.\nAnswer: -2.6, -2, -0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/10))**46 assuming h is positive.\nAnswer: h**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 0 - (2 + -5 - 55). Suppose 124 = 58*t - b*t. What are the prime factors of t?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 807.\nAnswer: 807.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 - v - 67 + 10*v + 68 + 62.\nAnswer: 9*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84 or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 160939*m**2 - 10*m - 16. Let s be n(8). What is s rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1546485888 to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2*k = -14, -24 = h + h - 5*k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 95258257 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 114547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 6, 1, 0 in decreasing order.\nAnswer: 6, 5, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/234? (a) -2\/5 (b) 0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = -8. Suppose -3*q - 3*f = f - 4, 5*q - x = -4*f. Solve -3*r = -4*i + 9, 8*i = q*i + 5*r + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1396, 4, 6, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 440 and 3135?\nAnswer: 25080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/4)\/((-56)\/224)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 8, -2*k + 19*o - 456 = 6*k - 39*o + 54*o for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 9*c**2 - c - 8. Let w(j) = -2*j**2 - j + 1. Let p(l) = -h(l) - 4*w(l). Let o(k) = k - 1. Calculate -5*o(n) + p(n).\nAnswer: -n**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-3))\/((-1)\/(-3)). Let x be w\/((0 + -2)\/(-18669464)). Let d = -16934732 + x. What is d rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2336*s + 47*s**2 - 2336*s.\nAnswer: 47*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 8:27 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0355959 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 + 0*i - 5*i**3 + 0*i + 6*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 10:45 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 89005 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7ce + 92?\nAnswer: -73c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, l: 5, b: 3, h: 1, x: 6, m: 1}. Give prob of picking 2 m and 1 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3428, -6856, -10284, -13712, -17140, -20568?\n\"Answer: -3428*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1487*v - 1498*v + 4331*v - 1345*v + 30 + 25.\nAnswer: v + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56107\/5859 + 4\/837. Let s = r - -1707\/182. Let j = 4\/13 - s. Is 1\/2 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*o = -268*o - 50 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sccslsscslill. Give prob of sequence scci.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (24\/(-25))\/((-22)\/55)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*v - 27, v - u = 4*u - 20. Let h be (-2)\/10*v\/2. Let y = 2 + 0. Sort h, y, 1 in descending order.\nAnswer: y, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -301.47959520975 and -5.\nAnswer: -306.47959520975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17512, -35028, -52544, -70060, -87576?\n\"Answer: -17516*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2544 and 5119376?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 1\/42*w**7 - 1\/6*w**4 + 3*w + 0 + 0*w**3 + 0*w**6 + 0*w**5 + 0*w**2. Find the third derivative of f(p) wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, q: 4, n: 2}. What is prob of picking 2 q and 2 t?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + s + 1. Let n(o) = -5*o**2 + 13*o - 6. Let p(y) = -3*g(y) + n(y). Let k be p(3). Solve -5*v + k*f = 1, 0*f = 4*f - 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -39*f**2 - 39*f + 27. Suppose 4*l + 11 - 3 = 0. Let x(w) = -3*w + 2935 + 0*w**2 + 0*w - 2933 - 3*w**2. Let q(g) = l*c(g) + 27*x(g). Factor q(a).\nAnswer: -3*a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*o + 84*o + 4 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 divided by -1?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*u = -351, -2*d + 5*u + 180 = u. Let t = -49 + d. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000139025 rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n - 3 = -j, 4*j - 12 = n. Suppose n = 3*d - 11*y + 6*y - 18, -5*y = -d + 16. Solve 5*b + 6 + d = -2*g, -5*b - 15 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102220 divided by 5?\nAnswer: 20444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 12*u - 36. Let i be n(3). Suppose i = 4*g - 0*g. Factor -4\/5*w**5 + 0*w**2 + 0 + 4\/5*w**3 + 0*w + g*w**4.\nAnswer: -4*w**3*(w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014882727 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: b\"What is the rth term of 112, 458, 1022, 1792, 2756, 3902, 5218, 6692?\n\"Answer: -2*r**3 + 121*r**2 - 3*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6\/13, 6, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17661 and 525?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i + 52. Let k be q(0). What is the second derivative of -31*v + 14*v + 232*v**5 - k*v + 14*v wrt v?\nAnswer: 4640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-38)\/(-9) - -1*(-8)\/36. Suppose 2 = 5*q - 8. Let c be (0\/(q\/(-1)))\/(-2). Solve 8*l - 3*l - 5*j - 10 = 0, f*l + 4*j = c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 8:43 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-375)\/100*(-2664)\/(-90)\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 3*y - 13, -3*y + 1558*x - 1555*x + 9 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 9*h - 8. Let n be y(10). Let g(w) = -4*w + 5*w**n + 1 + 2*w + 10 - 9*w. Let z(s) = s**2 - 2*s + 2. Let f(v) = -2*g(v) + 11*z(v). Factor f(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 31037?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -13628999 - i + 13628999. Let j(w) = 866*w. Calculate s(j(o)).\nAnswer: -866*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -6\/7 (c) 1 (d) -251 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - m + 40 = 4*d, 0 = -5*m + 2*d - 30. Let t be (m\/(-5))\/(6\/15). Let u(a) = -3. Let f(x) = x + 4. Let q(n) = -4*f(n) - 6*u(n). Determine q(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1027*l = -250*l - 1867 - 14152 - 1075 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126394057 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -3.7967?\nAnswer: -45.5604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -3*r - 31. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 36, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 2)*(5*y - 2*y - y + 2)*(-12 + 29 - 13).\nAnswer: 32*y + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t + 1. Let n be i(-1). Suppose -n = -z + 12. What is the remainder when (156\/16)\/(1\/4) is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -235 - 2*m**3 - 8*m - 243 - 2*m**4 - 240 + m**2 + 720 in the form z*m**2 + q + x*m**4 + i*m**3 + l*m and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 24 = 3*j, 4*q + 3 = 3*q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-3)\/2*36\/(-198)). Let p(g) = g**2 + g - 8. Calculate p(m).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4632939 (base 10) to base 2.\nAnswer: -10001101011000101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + m**3 - 2 + 3 - m + 2. Let u be o(0). Is u at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -13. Let i be (8 - 14)*g\/(-6). Let 0*r + r**4 + 6*r - 6*r**3 - 5 + 2*r**4 + i = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**2 + 17936*z + 1599052 = 0. Calculate z.\nAnswer: -4393, -91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(816))\/(sqrt(24)\/(sqrt(16)\/sqrt(2))) + ((0 + sqrt(1088) + sqrt(1088))**2*4 - (3 + sqrt(1088) + 0 + sqrt(1088))).\nAnswer: -20*sqrt(17) + 17401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1621 + -3?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 - u**5 - u**5 + (687*u**2 + 577*u**2 - 1656*u**2)*(0*u**3 - 2*u**3 - u**3).\nAnswer: 1173*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001142673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.4, -6815, 5, -3, -2\/11 in increasing order.\nAnswer: -6815, -3, -2.4, -2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/227 - 5697\/4994. Calculate the common denominator of b and (-39)\/(-60) - (0 + -1).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9043, -9211, -9379, -9547, -9715, -9883?\n\"Answer: -168*r - 8875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 27976.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 12756053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138*n**4 - n**2 - 204*n + 276*n**6 - n**2 + 138*n**4 + 279*n**6 wrt n.\nAnswer: 66600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*f + 63 - 65*f - 65 - 108*f.\nAnswer: -142*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 8:00 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 946542642.\nAnswer: 946542651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + (sqrt(1872) - (-4 + sqrt(1872))*4))*2)**2 - ((-5*sqrt(13) - sqrt(13)) + 2 - sqrt(13) - -2*-5*sqrt(13)).\nAnswer: -3055*sqrt(13) + 30974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9415*c**3 + 931?\nAnswer: -28245*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 11. Let h be (-4 - -4)*3\/3. Suppose 4*c - 3*c = h. What is the units digit of n(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57915, 57917, 57919, 57921, 57923?\nAnswer: 57925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**3)\/b**(-3\/11))\/((b\/b**(-2\/3))\/(b**4\/b)))**(-23\/2) assuming b is positive.\nAnswer: b**(-230\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = 4*r - 47. Suppose 4*q - s + r = 0, -q - 11 - 6 = 4*s. Let w = q + 33. Calculate the smallest common multiple of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*12\/(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10637 greater than or equal to 10627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-8 - -5) + 3 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/7)\/(260\/70).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 1704117099819.\nAnswer: -1704117099815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1481*d**2 + 10782*d + 2916. Determine a(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 25388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 18*a + 5*a**2 - 564*a - 2*a**3 - 5*a**2 + 582*a.\nAnswer: -2*a**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -1\/2 (c) 4 (d) -132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1424 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -23174 (base 9) to base 10\nAnswer: -15457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 86*n**3 + 26*n**2 - 4*n - 4. Let o = 148 + -152. Let w(h) = -2*h**3 + h + 1. Let k(b) = o*w(b) - x(b). Find the third derivative of k(j) wrt j.\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*p - 40*p = 4*b + 9, 2*p + 3*b + 4 = 0. Suppose -2*o = -o - 1. Let k be (1 + 1 - o) + 2. Solve -7 = k*v - p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 3*i - 7)*(2*i - 2*i + 3*i).\nAnswer: 3*i**2 - 21*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(8\/9)\/(t*t*t**14)*(((t*(t\/(t*t**(-8)))\/t*t)\/t)\/t)**(-1\/15) assuming t is positive.\nAnswer: t**(-701\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - n**2 - n + 1. Let m be b(-1). Suppose m = -8*k + 9*k - 1. Let i(h) = -33*h**3 + 2*h**2 - h. Give i(k).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907 is divided by 146?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 411659\/1255540 - -7\/8780. Let u = -7\/398 + 7871\/597. Find the common denominator of g and u.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 569527 and 1298.\nAnswer: 12529594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. What are the prime factors of u\/2 - (6 + -34)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 5 + 5 - 8)*(-4 + 5 - 2).\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = d - 5*b, 3*d + 4*b = -0*d + 6. Find the third derivative of 73*m**6 + 7*m**6 - 29*m**2 + 0*m**d - 45*m**2 - 59*m**2 wrt m.\nAnswer: 9600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 21*g = -117 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3)*d*d*d*d)**(-4)*(d\/(d\/d**(-1)))**(-39) assuming d is positive.\nAnswer: d**(73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 + 415. Is g a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4401 = -2*a + 23533, 3*a - v = 28728. Does 58 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*l + 516 = 0, 0 = 4*l - 8*l - 4. Let f = t + -154. Calculate the remainder when 100 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 9*w - 2. Let d = 0 - -9. Suppose -2*o - d - 1 = 0. Let y be (-2 + 6)*o\/4. Let n(j) = -4*j + 1. Calculate y*n(q) - 2*x(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8423*-126.\nAnswer: 1061298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, 14, 42, 70, 98, 126?\n\"Answer: 28*z - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -321628 and -20.\nAnswer: -321648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 1 + -1 + 5. Suppose d*k = -k + 40. Let m be (-16)\/(-6) + k\/24. Put m, 0.3, -1\/7 in decreasing order.\nAnswer: m, 0.3, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4242 + -4117. What is the greatest common divisor of w and 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 749500 and 149900?\nAnswer: 749500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/(-140))\/((-5)\/(-4))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 59*w - 8. Let k be s(2). Let g = k + -117. What is the units digit of ((-2444)\/g)\/2 + (-9)\/(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 149*t - 149*t + 22*t**4 + (t**2 + 1 - 1)*(2*t**2 - t**2 + t**2).\nAnswer: 24*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1638 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) 0.5 (c) 0.3 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Let w = -1832 + 5492\/3. What is the second biggest value in w, b, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, -32, -124, -242, -380, -532, -692, -854?\nAnswer: -1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 + 733*n + 538195. What is p(563)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467 = 36*a + 796 + 643 + 396 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p + 3*p - 2*p**2 + 15*p - 6*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15462*d + 15013*d + 15463*d - 45941*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 467\/3 - (-10)\/(-15). Suppose 0 = 4*c + c - i. Suppose -3*w + 2 = -c. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3926 divided by -26\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, h: 3, m: 4}. What is prob of picking 1 h and 2 m?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9284*a*c**4 + 280*a*c + 2*a + 17426246 wrt c.\nAnswer: 37136*a*c**3 + 280*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 117c9 (base 13) to base 15\nAnswer: 97a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5043470 and 100.\nAnswer: 50434700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -848320, -6786571, -22904686, -54292597, -106040236, -183237535, -290974426?\nAnswer: -434340841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7. Suppose -4*t - 23 - 55 = -3*x, 0 = -4*x - t + 85. What is the remainder when x is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 16196\/15629?\nAnswer: 16196\/15629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11236*m**2 - 12398608*m + 3420378256.\nAnswer: 4*(53*m - 29242)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.4, 37, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -32*r + 66. Let j be x(-15). Let h = 29 + -145. Let i = h + j. 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: What is the second derivative of -k**3*q**3 - 3*k**3*q - 8078*k**3 + 307*k*q - 1297751*q**3 wrt q?\nAnswer: -6*k**3*q - 7786506*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*w = -633, 2*a - 5*w = 530 - 221. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50675441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8676772639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11010010001111001 (base 2) to base 11\nAnswer: -73966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 6:01 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, d: 3}. Give prob of picking 1 l and 1 d.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -621087009 divided by -3473.\nAnswer: 178833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 830.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 9. Let t(c) = -3 + 3 + 2 - d*c. Is 11 a factor of t(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12172 divided by 4\nAnswer: 3043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88213, -87895, -87365, -86623, -85669?\nAnswer: -84503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -65\/4115334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113797 + 92363 = 1531*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvvvvvfvvvvvv. What is prob of sequence vv?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-8))\/(98\/588))\/((-9)\/(-234))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -15. Let q = m - -2. Let c(u) = 3*u + q*u - u - 3*u. Let z(k) = -5*k. Determine c(z(s)).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-5)*150\/45*(-30)\/(-4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10681\/5 + 2137. Let l(v) be the first derivative of 2*v**2 + 0*v + 3*v**4 - 4*v**3 - t*v**5 - 12. Find u such that l(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.45 and 80.\nAnswer: 80.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-8)\/(x**(4\/11)\/x)*(x*x**(-13))\/(x*x**(-5)\/x) assuming x is positive.\nAnswer: x**(-158\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**9\/3780 - b**7\/210 + b**6\/90 - 2*b**4 + 9*b. Let w(n) be the third derivative of o(n). Factor w(p).\nAnswer: 4*p*(p - 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2395*t - 4791*t + 2396*t + 4*t**3 - t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 73259580 and -0.14.\nAnswer: -10256341.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/126*(-12)\/40?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3 - 19775322*r**2 - 59325980*r - 39550656 = 0.\nAnswer: -2, -1, 9887664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - f6588?\nAnswer: -f6583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 5, -50, -80.\nAnswer: -80, -50, 5, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*x - 60 - x**2 - 50*x - 78*x = 0.\nAnswer: -12, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87 and 26854?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - g - 392 = 0, -215 = -2*o - 5*g + 52. Suppose -49 + 885 = -11*m. Let l = m + o. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(14)\/sqrt(2) + sqrt(7) + 0)*2)**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, 2, 7, 12, 17?\n\"Answer: 5*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267 a factor of 122357221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3963 or -3964?\nAnswer: -3964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 less than 293180418?\nAnswer: 293180431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-2 + (21 - 13)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 2*w + 20, 0 = -116*p + 117*p + 5*w - 16. Sort p, -18, -11, 5.\nAnswer: -18, -11, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 2*x + 2. Let p be a(-3). Suppose 0 = -0*k - p*k + 5. Is 8 a factor of k\/(-3) - (-98)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1435, -1437, -1439, -1441, -1443, -1445?\n\"Answer: -2*o - 1433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 632903 divided by 8\nAnswer: 632903\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 293, 601, 909, 1217?\n\"Answer: 308*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3299.2657 rounded to the nearest integer?\nAnswer: -3299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-19)\/s*s*s*s)**(-1\/24)*(s*s\/(s*s**(-16\/3))*s)**(-2\/7) assuming s is positive.\nAnswer: s**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 - 149\/2. Let c = -9 + 8. Which is smaller: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -2\/5 (c) 6\/7 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s - 66. Let z(b) be the first derivative of 15*b**2 - 3*b - 3. What is the remainder when z(3) is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-45) - 14\/(-5). Suppose -759 = -6*o + m*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(108)*4) + sqrt(336)\/sqrt(7))*-3 - (sqrt(72)*1)\/((sqrt(66) - (sqrt(66) + sqrt(66)*-3 + sqrt(66)))\/sqrt(11)).\nAnswer: 56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**3 - 14*s**2 - 8*s + 7. Let q be j(5). Calculate the lowest common multiple of (0 - 66)\/(-9 - q) and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5*v + 35 = 0, -3*v + 33 = -19*o + 11*o + 21 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*d + 3*v - 7, 5*v - 41 = 4*d. Let p(j) = j + 4. Let r = -5 + -1. Let g be p(r). Sort d, 10, g in descending order.\nAnswer: 10, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.6491 rounded to 0 dps?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19996, -19352, -18278, -16774?\nAnswer: -14840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/3)\/((-48)\/(-72)). Solve 0 = -0*d - d + r*z - 22, d + 4*z = 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 20, 3*r = 4*m + 50 - 65 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6621.4 - 54.\nAnswer: -6675.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 226.1 - 227.1. Sort -3, -0.55, i in descending order.\nAnswer: -0.55, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120689039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -182.71 + 174.71. What is the fourth smallest value in d, 0.04, -3, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -504158611250*y**2 - 88365200*y - 3872 = 0.\nAnswer: -44\/502075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 5*h + 24. Let w = 22 + h. What is the remainder when 16 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 218354787*w**6 - 112*w**2 + 2*w - 83245 wrt w.\nAnswer: 26202574440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -676*a**6 + 4*a**5 - 3*a**3 - 105658*a**2 wrt a.\nAnswer: -81120*a**3 + 240*a**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31\/210 + -13\/30. Which is the closest to 29? (a) -1 (b) -0.3 (c) o (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 29581461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30850826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*q + 15*q + 52 = 0. Suppose 0 = c + 3*o - 121703, -3*c = 2*c + q*o - 608502. What is c rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 352 = 4*w, 0 = -2*w + d - 5*d + 156. Suppose -2*m = -0*m + a - w, m - 61 = -5*a. Suppose -x - o + m = 3*o, -x + 31 = -o. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k\/k**6)\/k**(3\/11))**(-46))**(-20))**(4\/15) assuming k is positive.\nAnswer: k**(-34592\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 175661079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**4\/4 + 7*r**3\/3 - 7*r**2\/2 + 7*r + 12. Let a be c(6). Suppose -n - 2*n = -6. Solve -a - n = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**3 + 482*v**2 + 507 - 91*v - 236*v**2 - 269*v**2 = 0.\nAnswer: -13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -103684*f**2\/15 + 207374*f\/15 - 4\/5 = 0. Calculate f.\nAnswer: 3\/51842, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00537508 to 4 dps.\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18077\/22 - 822. What is the common denominator of 121\/30 and x?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1128 = 8*i - 5*i. Let x = -168 - i. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = -9*g + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1825139 - 1825139 + 3*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110 - 2*n**3 - 2*n + 2*n**2 + 110 to the form g*n**2 + l*n + p + m*n**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7747)\/(-305) + -26)*(-1)\/(-15)*-1*-1.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 53584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/104 and -31\/28.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**(-1))*w*w)**28\/(w**(-4)*w**6))**(-5))**8 assuming w is positive.\nAnswer: w**(-1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 67 + (-606 - -534).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -41*d - 193. Let b be z(-5). Let h(p) = 2*p**2 + 15*p + 3. Let a(r) = 3*r**2 + 29*r + 5. Let k(g) = 3*a(g) - 5*h(g). What is k(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 60721960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2411045 (base 6) in base 15?\nAnswer: -274c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 9327 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 + 3*l. Let y be c(-2). Let k = y - 3. What is the second derivative of -5 + 5 + k*u - u**4 wrt u?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 7:00 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 162*q - 37098. Let m be x(229). Suppose 0*y + m + 3\/2*y**4 + 9\/2*y**5 + 0*y**2 - 3*y**3 = 0. What is y?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88473606 divided by -174.\nAnswer: 508469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 63*p + 64*p - 1, w - 3*p = -3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308 and 1386?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = v - 2, 3*z + 4*v - 5*v = -2. Suppose -3*m - 2*m + 75 = z. Let a be 2*(2 + (-24)\/m). Is a != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 17 + 3 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((2\/(-2))\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 3380?\nAnswer: 30420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -41*h - 5. Let y = 2864 + -2868. Let q(g) = -8*g - 1. Determine y*r(f) + 22*q(f).\nAnswer: -12*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 12333*f - 17469*f - 4903*f as r*f + k and give r.\nAnswer: -10039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*t**3 - 2\/11*t**2 + 2\/11 + 2\/11*t.\nAnswer: -2*(t - 1)*(t + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2144 (base 10) in base 7?\nAnswer: -6152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*5\/(-1 - -2). Let f(p) = p - 2. Let q be f(a). Let l = -7\/2 + q. What is the third smallest value in l, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 464903\/404 + (-1)\/(-4). Suppose 3*i = -152 + x. What is the remainder when i is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5)\/d)**(-2\/29)*(d*d**(-1))**(-26) assuming d is positive.\nAnswer: d**(6\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3)*q)**(-1\/17)\/(q**(2\/5)\/q)**(-25) assuming q is positive.\nAnswer: q**(-254\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3))**(-41)*(o\/(o*o*o\/(o**5*o)))**22)**(1\/15) assuming o is positive.\nAnswer: o**(346\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4030001112 + -310?\nAnswer: 4030000302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i + 4 + 2*i + 2*i. Let q(l) = 2*l**2 - l - 1. Let b be q(2). Suppose 2*r = j - 13 + b, -5*j + 22 = -r. Give k(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -12*t**2 + 0*t + 0*t**3 + 0 + 1\/3*t**4. Let r(h) = h. Give c(r(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q**3 + 4*q**2 + 11*q. Let t(o) = 19*o**3 - 9*o**2 - 23*o. Calculate -13*c(w) - 6*t(w).\nAnswer: 3*w**3 + 2*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4\/7, -1\/4, 3\/7 in increasing order.\nAnswer: -4\/7, -1\/4, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11*711\/(-27)*-3. Let t = g - 60. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*v**3 - 2*v**2 + 5*v**3 - 5*v**3 + 2*v**4 to the form m*v**4 + c*v**3 + t*v**2 + n*v + o and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -106*(-10)\/(-200)*380\/38.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rra when three letters picked without replacement from {r: 2, a: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/5*(-20)\/2. Let j(g) = g**2 - 16*g + 15. Let n be j(15). Let w = n - s. Calculate the smallest common multiple of w and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*(-6)\/(18\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -4240232144?\nAnswer: -4240232143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q + 3*q - 2*q)*(1 + 3*q - 2 - q)*(-4*q + 2*q - 34*q) to the form a*q + r + w*q**3 + z*q**2 and give w.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*sqrt(125) + -5 + 2 + -1 + sqrt(45)\/(sqrt(9) - sqrt(9)*3) + sqrt(5))**2.\nAnswer: 38*sqrt(5) + 1821\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18673757 is divided by 39?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 0*g**2 + 0*g**2)*(-3*g**2 - 3*g**2 + 4*g**2) + 4*g**4 - 21*g**4 - 5*g**2 + 3*g**2.\nAnswer: -15*g**4 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252885?\nAnswer: 3, 5, 23, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 0.2, -3, -6\/7, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44953534*u**5 - 198313*u + 7 wrt u.\nAnswer: -899070680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 675?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6360490 by 3.\nAnswer: -6360490\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10583*a = 10581*a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**7\/1120 + o**6\/120 - o**5\/160 - o**4\/8 - 59*o**3\/6 - 37*o**2. Let n(w) be the first derivative of f(w). Factor n(q).\nAnswer: 3*(q - 1)*(q + 1)*(q + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -5, 6\/5, -0.4, 11798, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(119))\/((1*sqrt(84) + sqrt(84) + sqrt(84) - sqrt(84))\/sqrt(12)))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -601082.71 rounded to the nearest 100?\nAnswer: -601100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.43648 - 0.5.\nAnswer: -0.93648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12642551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (3 + (7 - 10)) - (2 + 10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from znncznznnz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fudnbffdfmdfudu. What is prob of picking 1 d, 1 f, and 1 b?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -76.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*r + 191707 = 192353 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -0.187, 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 271.6 * 0.5\nAnswer: 135.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38952464, 38952474, 38952484, 38952494, 38952504?\n\"Answer: 10*s + 38952454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 3*m - 5. Let p be r(0). Suppose 2*l - 5*k = 34 - 13, 5*l = 2*k. Which is the third biggest value? (a) p (b) l (c) 0 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/10 - ((-6)\/15)\/1. Let p be s\/(28\/(-16))*-7. Let m be (6\/p)\/(9\/24). Solve -g - 3 = -4*t + m, -4*t + 10 = 2*g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 22 - 8 + 43*o + 10 + 18*o**2 + 3*o**3. Let g(b) = 2*b**3 + 12*b**2 + 29*b + 16. Let j(i) = 7*g(i) - 5*k(i). Factor j(f).\nAnswer: -(f + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m + 23. Let n(x) be the third derivative of -7*x**4\/24 + 47*x**3\/6 + 406*x**2 + x - 2. Determine 5*i(y) - 3*n(y).\nAnswer: y - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4452 + -4450. Sort 0, 3, -5, -4, n in increasing order.\nAnswer: -5, -4, 0, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.9 - -0.1. Let t = 1.402 + -4.402. What is the biggest value in -2, t, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrhjrrrjhjjj. What is prob of picking 2 r?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -277, -224, -135, -10?\n\"Answer: 18*y**2 - y - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11*o + 1. Let q be h(1). Factor -25*a - 5*a + 6*a - q + 9*a**3 + 0*a**2 - 3*a**2.\nAnswer: 3*(a - 2)*(a + 1)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/30)\/((-22)\/132).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/144 and 73\/8376.\nAnswer: 50256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2700 + 51366436?\nAnswer: 51369136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 739 (b) 0 (c) -5 (d) 3\/7 (e) -0.1 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgggdgddgdcdgd. What is prob of sequence ddg?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*u - 95 = 0, -3*g = 2*g - 3*u - 284. Suppose g = 6*j - 5*j. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 3*w + 2. Let o be b(2). Suppose o*d - 3*d - 12 = -2*p, -4 = p + 3*d. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22333302033 + 3311?\nAnswer: 22333312010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4803.885 centimeters?\nAnswer: 48038850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/81 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 63617711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(5) + 4)*-4 - 5*(sqrt(5) + 0))**2 + (sqrt(5) - ((sqrt(5) - sqrt(125) - sqrt(5)) + 3)) + 2 + sqrt(25)\/sqrt(5) + 5.\nAnswer: 580 + 263*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2501*q = -501*q + 30020 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 43615 to the nearest 1000.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - y = 26, -4*m + 44 = m - y. Suppose -m*f = -6*f - 153. Suppose -f = 4*j - 51. Solve -4*s = -s + 2*i, 4*s - 5*i = j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from zzvjcun?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(((-60760)\/(-210))\/(-124))?\nAnswer: -57\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3010 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: Suppose -5*c + 0 + 20 = 0. What is the first derivative of -3 - 4 - 7*k**c + 2*k**4 + 1 wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5152, -1, 37, -2, -5, 2 in decreasing order.\nAnswer: 37, 2, 0, -1, -2, -5, -5152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -23.222, 4?\nAnswer: -23.222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 0 + 0*u**2 - u**2 + 13*u - 5*u + 12. Calculate the remainder when 5 is divided by b(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 4*l**2 + 5*l + 3. Let f be -1*10*1\/(-2). Let o be u(f). Suppose -d = o*d - 8. Solve -p - 3*p = d*h + 14, 0 = 3*h + 3*p + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/(3185\/(-350))*(-16)\/10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4250, 8495, 12726, 16937, 21122?\n\"Answer: -t**3 - t**2 + 4255*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47301328621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21600519 and 20472.\nAnswer: 2559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 12 = -0*r. Let i be r\/15 + 16\/10. Suppose 0 = -w + 4*h + 2 + 24, -i*h = -3*w + 38. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(sqrt(95) - (sqrt(95)*-4 + sqrt(95)))*1)\/(-2*sqrt(125)*4).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 100?\nAnswer: dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 6*a + 20, 5*s + 16 - 6 = 3*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 118417*b**5*s - 29*b**3*s + 3157*b*s + 449*b wrt b.\nAnswer: 2368340*b**3*s - 174*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t + 966 - 1106 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/36*(3\/25)\/((-12)\/60).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**2 - 3*b + 6. Let s be m(-6). Let x be s\/(-15) - 8\/20. Let j be (6\/(-20))\/((-12)\/x). What is the second smallest value in j, 0.03, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Let d(u) = 8 + 17 - 1 + 18 - 11 - u. List the prime factors of d(n).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 420399551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 + j**4 + 0*j**4)*(6*j + 0 + 0).\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -q - 150, -18*t = 5*q - 21*t + 711. Is q >= -133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in seconds?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/17 (b) -15\/8 (c) 5 (d) -1\/6 (e) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 12749084?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 402985, 805973, 1208961, 1611949, 2014937?\n\"Answer: 402988*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10559966*m**2 - 6593324 with respect to m.\nAnswer: -21119932*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, 0.03, -3, -4\/3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 2*s - 2. Let y be n(-3). Let k = y + 24. Let h be (-7 + 5 - -3)\/(k - 0). Sort h, -3, -4 in increasing order.\nAnswer: -4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 8. Suppose 2*k - h = -10 - 3, 4*k - 4*h = -32. Put 5, k, a in increasing order.\nAnswer: k, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-48))\/((22\/(-4))\/((-5313)\/483)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**5\/60 + 11*j**3\/6 + 6*j**2. What is the first derivative of f(u) wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34443177.\nAnswer: 3, 11481059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 7 = p, 39*x - 26*x = -128*p + 23*x - 376 + 30 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-2 + 7 + -10)) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 + -1. Let d = 76 - 151\/2. Let r = 2.2 - 0.2. What is the closest to i in r, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -2) + 17 + -19.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-136)\/(-238))\/((-23)\/(83237\/(-44))).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 696 + -661. Let l(d) = 15*d - c*d - d**2 - 32*d. Let j(p) = 4*p**2. Give l(j(y)).\nAnswer: -16*y**4 - 208*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35712505 to the power of 1\/2, to the nearest integer?\nAnswer: 5976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*c - 4420 = -287*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 503 (base 7) to base 9\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**0)**(-1\/20)*x*x*x**(-4)*x*x*(x\/(x*(x*x*x**(-1)*x)\/x*x)*x)\/x assuming x is positive.\nAnswer: x**(-41\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -3. Let d = 1452 + -1449. Which is the nearest to 1\/2? (a) d (b) g (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a gram in milligrams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10992 + -7829. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-110)*10\/(4*((-371)\/56 + 7)).\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*2 + (5 - 5). Let w(f) = -f**2 - 21*f - 36. Let g be w(-19). Let m = -7 + 11. Solve 20 = 4*z - m*s, -3*z - o*s - 6 = g*s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 2*x + 0*x)*(-4 + 4 - 2*x) - x**2 + 0*x**2 + 7*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02428 less than -670.51?\nAnswer: -670.53428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**3\/3 - 5*z**2\/2 - 7*z. What is k(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 49152026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145.6324947ms to weeks.\nAnswer: 0.00000024079446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 90 = 2*t. Suppose 4*p = j + 2156, p + 0*p = 3*j + 550. Let x = 568 - p. Calculate the lowest common multiple of x and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = 6*j + 14*j. Calculate the greatest common divisor of 19 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-125)\/5*(-10)\/200*4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1917 - 1121 = 102*p - 2978 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -17 - -14 - 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4 = 0, -4*j + d - 8 = 3*d. Put j, -5, -1, 3 in decreasing order.\nAnswer: 3, -1, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.152 take away -125423?\nAnswer: 125422.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 a factor of 9394294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382149 is divided by 218.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-14\/5)*o*(o\/(o\/o**16)*o)\/o*(o**(-2\/5)\/o*o)**34 assuming o is positive.\nAnswer: o**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) 1 (c) -5 (d) 1\/10 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 6*b**2 + 3*b + 7. Suppose -4*h = -8, 4*v - 8*v - 4*h = -16. Let r be (2 - (v - 2))*(9 - 7). Suppose 20 = r*g - 0. Give j(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + 8 + -6 + (10 + -90)\/(-10).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783374 to the power of 1\/2, to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/4? (a) 9\/10 (b) -4 (c) -27\/4 (d) -2\/5 (e) -91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f = 2265. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 10:31 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -708, -1378, -2012, -2610, -3172, -3698?\n\"Answer: 18*g**2 - 724*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j + 55. Let n be r(-19). Let w be (-38)\/(-9) - ((-20)\/(-9) + n). Suppose 9*b = w*b + 135. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3, l = -3*l + 2*k + 878. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18100 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86382.947938 - 1.462062. Let o = -86384.8400023 - k. Let q = -0.43 - o. What is q rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255352309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/52 + (-4206)\/(-39). Suppose 5*y - 17 = j. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 0.3, 0.05, 2, -4 in decreasing order.\nAnswer: 2, 0.3, 0.05, -5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 - 4*m + 17. Let h be -3*(-3)\/(-3)*(-16)\/12. What are the prime factors of n(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 a when four letters picked without replacement from opaaapallappa.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 2)\/(2\/6). Suppose 12 = j + h*j. Let c(z) = -z - 4. Let s(p) = 2*p + 11. Let m = 25 - 17. Determine j*s(x) + m*c(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38462, 38264, 38072, 37886, 37706?\nAnswer: 37532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*o**3 - 55*o**3 - 3*o + 1 - 202*o**4 + 4*o - o**2 - 71*o**3 to r + s*o**2 + m*o**3 + y*o + k*o**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9357920 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**5 - 16740*g**4 - 67025*g**3 - 50300*g**2 + 67020*g + 67040 = 0. Calculate g.\nAnswer: -2, -1, 1, 3352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(11) - (sqrt(11) - (sqrt(11) + 1)*-6)) + 1)**2.\nAnswer: -1263 - 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/((-2496)\/286))\/((-7)\/84).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - -6)\/((-24)\/16*2\/(-12)). Solve 0 = 5*z + 5*a - 35, 0 = -n*z - 2*a + 24 - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a hour in minutes?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -293.45 * -3.6.\nAnswer: 1056.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 4*g + 147, 0 = -2*l - 3*l - 5*g - 120. Suppose -6*z = -119 - 103. Let o = l + z. What is the greatest common factor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -2767581.7.\nAnswer: -2767586.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 22*g + 3. Determine d(-2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3374 + 3374 - 14*y**2. Let q(h) = -6*h. Determine t(q(i)).\nAnswer: -504*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.5, 0.2, -0.1, -0.16287, -2.3?\nAnswer: -0.16287","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2665, 2667, 2669, 2671, 2673?\n\"Answer: 2*n + 2663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*n + 384. What is the highest common divisor of 512 and n?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14543366 - -4?\nAnswer: -14543362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -27*n. Let j(z) be the third derivative of 11*z**5\/15 + z**2 + 36*z - 6. Calculate j(w(u)).\nAnswer: 32076*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 times 604794\nAnswer: 1149108.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 103?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 + 2*u**4 - 2*u**2 + (-3*u + 4*u - 3*u)*(-9*u**3 - 3*u**3 - 5*u**3) - 5*u**4 - 2*u**4 + 4*u**4.\nAnswer: 33*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from {o: 4, p: 3, j: 2, r: 3, h: 4, a: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*c + 27 = 4*j, -5*j + 3*c + 90 = 0. Suppose -17*z = -j*z + 8. Suppose -z = -r - 2. Solve r*f + 4*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 3\/1 - -10. Suppose k = -5*l + 3, -l - 95 = -u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 (base 8) to base 5\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10386, -20765, -31154, -41559, -51986, -62441, -72930?\n\"Answer: -x**3 + x**2 - 10375*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 - -0.1056\nAnswer: 8.1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 2*h + h**2. Let z(i) = -21*i**2. Let x(o) = o**3 - 4*o**2 + o + 1. Let v be x(2). Let t(m) = 22*m**2. Let d(a) = v*z(a) - 4*t(a). Give w(d(p)).\nAnswer: 289*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 767779, 1535548, 2303319, 3071092, 3838867, 4606644?\nAnswer: 5374423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3510 divided by -1?\nAnswer: -3510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 17, f: 2}. What is prob of picking 3 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -24*a + 1. Let l be f(-1). Suppose -3*g + 16 - l = 0. What is the closest to 1\/5 in 2\/11, -1\/6, g?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 2:46 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 667856 (b) 5 (c) -1 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 18006 = -4*k, -8*k + 10*k = 12. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5532.\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -537563*y**5 - 121599*y?\nAnswer: -10751260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/4))**(3\/11)\/((i**(-1)\/i)\/(i*i**(-1\/8)*i*i)))**(-1\/55))**(-2\/35) assuming i is positive.\nAnswer: i**(459\/84700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -19\/3*v**3 - 26*v + 5\/4*v**4 + 0 - 6*v**2 + 7\/40*v**5. Suppose a(l) = 0. Calculate l.\nAnswer: -6, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014 (base 10) in base 14?\nAnswer: -526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + f - 5*f + f + 2*f + (2 - 5 + 1)*(2*f + 4*f - 5*f) + 0*f + 0*f - f + 2*f + f - 4*f)*(15 - 14 - 17).\nAnswer: 80*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (1\/(-5) - (32472\/(-110) + 9)). Is g greater than or equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -205*k**3 - 110*k**3 + 3*k**3 + k**2 + 0*k**2 - 3*k**2 in the form z*k**2 + p*k**3 + s + q*k and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/60 and 43\/18837600.\nAnswer: 18837600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 778725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*k**3 + 4734*k**2 + 6880*k - 2130048 = 0 for k.\nAnswer: -344\/9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2*d = 4, 3*q + 6*d - 3*d = -3 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/6 (b) -8 (c) -15 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 19 = -4*x + 14, -4*x + 2*c = 2. Suppose -x*w + 8 = w - 2*p, -7 = -4*w - p. Solve w = 3*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4790164 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*s + 2 - 0, 2*s = -4*l. Suppose 2*m = -2*f + 98, 2*f + s*m = f + 61. What is the remainder when f is divided by 2\/(5\/(-6) - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (9 + -8 - 21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61952.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 1259598 - 1259598.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5 = -1. Solve -j*y - 5*v - 20 = 0, -v - 4 = -0*y + 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**4\/24 - u**3\/3 + 26*u**2. Suppose -b - 6 = -20. Calculate the remainder when b is divided by n(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*x - 57 - 23 = 0, -4*v = -5*x - 101. Calculate the remainder when 5\/2*54 + -4 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6026647142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w + w - 2*w)*(-1 - 1 + 5 + w) in the form n*w + d*w**2 + m and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 226862 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: Solve -32254*q + 32251*q = -4*d + 26, 5*d - 2*q = 22 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 181*s - 354*s + 174*s. Let a(x) = 222*x**2. Determine a(l(p)).\nAnswer: 222*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 9. Let v be q(-6). Let o(h) = h + 6. Let r be o(-6). Suppose 2 - 6 = 3*x + 5*s, x = -s. Solve -u - 4*d = x*u - 5, r = -v*d + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 11\/9 - (-238614)\/54. Let c = 9972 + a. Let y = -287913\/20 + c. Calculate the common denominator of y and -77\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455b (base 12) in base 7?\nAnswer: 31313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 + 70 + 9*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-5 - -26) - (0 - 6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -954?\nAnswer: -2862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -27*u + 6. Let i(z) = 33*z - 4. Let h(m) = -4*i(m) - 3*w(m). Let a(f) = -f**2 - 81. Give a(h(o)).\nAnswer: -2601*o**2 - 204*o - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 226*h**3*o**3 + 99*h**3 + 9*h**2 - 420*o**3 - 13 wrt o?\nAnswer: 678*h**3*o**2 - 1260*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1765469?\nAnswer: 1765469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1740 and -15\/22?\nAnswer: 19140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 5*w**2 - 3*w + 28. Is c(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*w - 16 = 112*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 27*z**3 - 7*z**2 - 5*z + 7. Give o(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 15*h - 72. Suppose h = x + 4. Suppose -4*k - x*q + 2380 = 2*q, 3*q + 2366 = 4*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q\/q**(-39))\/q*q)\/q**(3\/11))**(-11))**(-41) assuming q is positive.\nAnswer: q**18368","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -362, -361, -360, -359?\n\"Answer: q - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + 15. Suppose 4*o = 5*h + 42, -3*o - 2*h - 4 = -w. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -24.2. Are -15 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -5, 451745 in increasing order.\nAnswer: -5, 2, 3, 451745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 12. Let s = -3 - m. Suppose -s*w + 15 = -7*w. Which is the nearest to 1\/4? (a) 5 (b) w (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -380, -2318, -6974, -15512, -29096, -48890, -76058, -111764?\n\"Answer: -194*b**3 - 195*b**2 + 5*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(7) - (-3*sqrt(7) + 4)) + (1*sqrt(7) + 2 - sqrt(7)) + ((sqrt(847) + 1)*4 - sqrt(847))**2*-1*2.\nAnswer: -15280 - 524*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 6129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1637907321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9480?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -234.2 - -229.2. What is the nearest to -6 in 1, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/(665\/(-475))*2.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011 + 11001111?\nAnswer: 100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 16*b**2 - 24*b - 5. Let s(h) = 17*h**2 - 23*h - 6. Let a(u) = -5*s(u) + 6*z(u). What is the second derivative of a(x) wrt x?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 3. Suppose -5*o - t*u = -5924, -4*u - 1204 = -o - 0*o. Is 9 a factor of 1\/4 - o\/(-48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37166022 divided by 44298?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16398, -65551, -147472, -262161, -409618, -589843, -802836?\nAnswer: -1048597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -128 - 85?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0.1. Let i = 0 - r. Let j = -3.7 - 0.3. What is the nearest to i in j, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 120*t + 2000 + 280 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2011\/800 at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 151 and 20777298?\nAnswer: 20777298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 23271?\nAnswer: 23271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3*(23681\/420 - 7). Let r = 254\/9 + p. Find the common denominator of r and -3\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 529 + -529. Let m(h) be the second derivative of -9*h + 0 - 1\/3*h**4 + 0*h**5 + 0*h**2 + 1\/6*h**6 + a*h**3. What is the third derivative of m(p) wrt p?\nAnswer: 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 14*v**2 - 121*v - 184. Calculate the smallest common multiple of 1328 and b(10).\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 13, -3.\nAnswer: -9, -4, -3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.896 to 0 dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 + -103. Calculate the remainder when 109 is divided by ((-38)\/4)\/(u\/8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010439 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2\/2 + 315*z - 1845\/2.\nAnswer: -5*(z - 123)*(z - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 2:14 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - r**2 - 2*r - 2. Let p be z(0). Let n be p + (6 - -3) - 5. Solve -3*k + n = -0*i - 4*i, 4*k + 2*i = 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16045 and 731652?\nAnswer: 3658260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -32. Suppose 4*r = -m*z - 6 + 22, -4*r + 22 = z. Solve -4*j - r = 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 15*u. Let c(j) = 32*j**2 + 3 - 3 - 30*j**2. Give c(t(p)).\nAnswer: 450*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 4. Let q be k(5). Suppose 0 - 3 = -i. Suppose i*g = 8*g - 5. Calculate the highest common divisor of q and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 6879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/10 < -905.58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (86\/215)\/(8\/10)*2\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511*b + 508*b - 4*g = 12, -135*b + 5*g = 540 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5235.61464734 minus 239?\nAnswer: -5474.61464734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.51011 and -3587?\nAnswer: 3585.48989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3791 + -1157. List the prime factors of l.\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*q - 34 + 37*q - 23*q)*(2*q**2 - 2*q**2 + 7*q**3) as y*q**3 + a*q**2 + g*q + h + n*q**4 and give y.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -32.05. Let z = -2.919 + o. What is z rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -23*r**3 - 356*r**2 + 10*r + 72. Give s(-15).\nAnswer: -2553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-70)\/15)*(-3)\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isiiiyisys. What is prob of sequence ss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/3*1\/(3\/9) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 545\/45 + 9\/(-81)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 24*t - 64. Calculate f(-18).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 5 (c) 2\/13 (d) 18 (e) 3\/2 (f) 0.3336\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -350 + 324. Let r = q - -27. What is the fourth smallest value in -1\/53, 3, -5, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000166921519 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49236 and 528.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000198501 rounded to 6 dps?\nAnswer: -0.000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4245738 and 168?\nAnswer: 16982952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16450739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**2*g*l - 84*c**2*g - 142*c**2 + 15*c*g*l**3 + l**3 + 5*l**2 wrt g?\nAnswer: -c**2*l - 84*c**2 + 15*c*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*h = 550*h - q + 37, 0 = -14*h + 5*q + 295 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/12*-2*6. Let o(i) = 1538*i**2 - 4 - 7*i - 2739*i**b - 2113*i**2. Let y be o(-4). Round y to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37168 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9396 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -38. Suppose 35 = 8*g - 3*g. Let b(r) = 2*r - 6. What is the least common multiple of z and b(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - f + 1, 0 = 4*p + f - 1 - 15. Let t(a) = -a**3 + 3*a**2 - 3*a + 5. Calculate t(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 6:57 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 0, 3*g - 2*j - 23522 - 9481 = 0. What are the prime factors of g?\nAnswer: 3, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 170*g**3 - 1 + 0 - 168*g**3 - 36*g**2 + 1.\nAnswer: 2*g**2*(g - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**11*s)*s)\/(s\/(s*s**(-37)))*(s**(2\/27)\/s)\/(s*s\/s**(-4)) assuming s is positive.\nAnswer: s**(-1456\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1615*t**5 - 872*t?\nAnswer: 32300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52.7 - -64. Let l = c - 1.6. What is l rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 5*p - 1. Suppose b + 2 = 3. Let x be -5 - (-3 - (b - 3)). Determine g(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a week in minutes?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -21*s + 236. Calculate v(9).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 22, 40, 62?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u**2. Let y(f) = -516469*f. Calculate l(y(n)).\nAnswer: 1333701139805*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 23275338?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 265.198 + -263. Let d = -0.012 - f. Round d to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - 30. Let m be 1\/(k\/9)*4\/48. Let j = 3.3 + -0.3. What is the second smallest value in j, -10, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 20*d. Let y(s) be the third derivative of -s**4\/4 - 45*s**2. Calculate n(y(c)).\nAnswer: -120*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -31*h**3 - 2*h**2 + 3*h + 1. Let t(a) = 94*a**3 + 6*a**2 - 8*a - 3. Give 8*k(l) + 3*t(l).\nAnswer: 34*l**3 + 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 2*q + 14, -4*g - 6 - 1 = 3*q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3)*(-105)\/14. Suppose 3*b + k - z = -0*b, 4*b = 2*k + 10. Let i(t) = t - 6. Let c be i(8). Solve -c = -b*u + 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2 - 3960*k - 3961 = 0.\nAnswer: -1, 3961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.951917 litres?\nAnswer: 951.917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -220, -488, -862, -1342?\nAnswer: -1928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 362717561?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2603877.\nAnswer: 3, 867959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0347 and -13.782.\nAnswer: 0.4782354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 396 and 751696.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8\/385?\nAnswer: 8\/385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -436, -400, -366, -334, -304, -276?\n\"Answer: -z**2 + 39*z - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 581\/1245*20\/(-14)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -37*z - 1. Let y(j) = -198*j. Calculate y(o(g)).\nAnswer: 7326*g + 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k - 7*k + 2*k**2 - 5 - k**2. Let b(o) = o + 9. Let r be b(-5). Let x be d(r). Solve -4*j + x*j = -3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.22, -5\/3, 5.\nAnswer: -5\/3, -1, 0.22, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203506023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2363634 divided by 6?\nAnswer: 393939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -8a?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 2*l + 9 - 5, -5*k - 4*l = 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from dirkl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.71916 and -0.1.\nAnswer: 0.471916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1b9 (base 12) to base 14\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-357 + 771 - 451 - 18*j)*(0 + 0 - j) in the form s*j + c + w*j**2 and give s.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3 (b) 0 (c) -74\/3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9 - 3 + 7*u - 4*u. Let w be r(-4). What is the remainder when (-28)\/(-6)*(-9)\/w is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38 - -5?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0058159 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 12:12 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466*h**2 + 440*h**2 - 2 + 443*h**2 - 1347*h**2.\nAnswer: 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 4*z - 68, -5*s + 69222*z - 69218*z = 90 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 36*n**3 + 96*n**2 - 491*n - 93. Give h(5).\nAnswer: 4352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = r - 28 - 1, 3*s - 25 = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 6 (b) -40\/13 (c) -2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + m)*(0*m + 3*m - 2*m) - 9*m**2 + 34*m**2 + 29*m**2 + m**2 + 2*m**2 - 4*m**2 + (-1 + 1 + m)*(m + 0*m - 3*m))*(2*m - 5 + 5).\nAnswer: 104*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/5)*x)**24*(x*x**(1\/2))\/(x**(-2\/7)\/x) assuming x is positive.\nAnswer: x**(867\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -306, -1188, -2672, -4764, -7470, -10796?\n\"Answer: -j**3 - 295*j**2 + 10*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/5 - 8*p**2\/5 + 22*p\/5 + 12.\nAnswer: -2*(p - 3)*(p + 2)*(p + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-three fifths of a gram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -74, -109, -144, -179, -214?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52155.107 - -52129. What is i rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7044 or -852?\nAnswer: -852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2729274694?\nAnswer: 2, 1364637347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 17 + (-16 - -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4260)\/7455)\/(3\/((-63)\/(-2))))\/(1800\/(-96))?\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 26*d - 254. Let z be a(10). Suppose -55 = z*j - 61. What is the smallest value in -5, -1\/5, 20, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/76 and -41\/343310.\nAnswer: 13045780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 - 9 - 4 + 12 - 3*s as h*s**2 + y*s + m and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 493*v + 2183*v - 538*v - 556*v - 541*v.\nAnswer: v**2 + 55*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 u when four letters picked without replacement from {x: 1, u: 5, a: 12, m: 1}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 455144 or 455293?\nAnswer: 455293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((-6 - 0) + -1 - (212 + -235)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4104 = 15*n. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j. Let o(b) = -4*b**2 + 214*b - 1. Determine t(o(v)).\nAnswer: 4*v**2 - 214*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3295, 12015, 26161, 45727, 70707, 101095, 136885, 178071?\n\"Answer: -r**3 + 2719*r**2 + 570*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 141836466 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) -0.4 (b) 2 (c) 4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdd when three letters picked without replacement from dddsssssds.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33.7 + -1. Let l = u + -16.4. Let a = -19 + l. Round a to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21296\/(-396))\/((-4)\/18). What is the greatest common factor of o and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19341 and 18?\nAnswer: 38682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2809*g = 2810*g - 2*a + 1, 3*a - 4 = 4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4955*-57.79.\nAnswer: 286349.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 20. Suppose -w = 4*n - 1, -1 = -2*n - 3*w + 12. Sort n, b, -4.\nAnswer: -4, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1258038 and 1258036 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 598682*i + 23 = 598692*i, -5*i - 20 = 5*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*z = -13, -22 = -2*h - 2*h - 2*z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7550 and 24?\nAnswer: 181200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -1 + 2 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3554 and -53\/18.\nAnswer: 31986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 13*y - 38*y.\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4*((-10)\/6)\/(-5))\/((-66)\/396)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*s - 54, 3*i = -5*s + 115 - 25. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43191 and 27.\nAnswer: 129573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 10:58 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 713, 1471, 2265, 3107, 4009, 4983, 6041?\n\"Answer: 2*a**3 + 6*a**2 + 726*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by -1900\nAnswer: 11\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w**2 + 21*w**2 + 17 - 11*w**2)*(w**2 - w**2 - w**2).\nAnswer: -2*w**4 - 17*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*u + 67*u + 10008 = -502*u - 3186 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5006*u + 225637. Give n(45).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -359*v - 4. Let o be a(-6). Suppose g - 3*g = o. Let z = -1875 - g. Round z to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9461 or 13311?\nAnswer: 13311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61813 is divided by 8739.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/5, -1\/4, 0.07, -31398 in ascending order.\nAnswer: -31398, -1\/4, 0.07, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*m**3 - 7*m**2 - 157*m + 8584?\nAnswer: 6*m**2 - 14*m - 157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqm when three letters picked without replacement from {m: 5, q: 3, p: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.361028 hours in weeks?\nAnswer: 0.4009585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9746 is divided by 1340.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/5, 170.\nAnswer: 1\/5, 5, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**4\/3 + 5*m**3\/6 + m. Let f = -2585 + 2580. Let n(j) = -j**2 + j. What is f*n(i) + w(i)?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-6) + (-10)\/15. Which is the nearest to 0? (a) 0.1 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -63.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4104\/16)\/27)\/((187\/17)\/66)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.003.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1826.15 - -1824. Let j = 0.15 + -0.2. Let n = j + h. Round n to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s - 2. Let o(w) = w**2 + 20*w + 1. Let i be o(-20). Let c(k) be the second derivative of k**3\/6 - k**2\/2 + 16*k. Determine i*x(m) - 2*c(m).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2720343 is divided by 376.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1644?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-2)*(-253)\/46*-1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058 a factor of 135870056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33.32 - -34. Let c = q - 1. What is c rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241987242?\nAnswer: 2, 5569, 111509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, i: 1, k: 1}. What is prob of sequence ikpp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 267 = i. Is i at least as big as 252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(2\/9))**28*((l*l**(-1\/8))\/l)**(-2\/163))**(-2\/95))**(7\/8) assuming l is positive.\nAnswer: l**(-2555903\/2229840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (0 + (sqrt(108) - (sqrt(108) + 2)) - sqrt(108) - sqrt(108)))*-5 + -1*(-4 + 2*sqrt(108))*-5)**2.\nAnswer: -1200*sqrt(3) + 43225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514*d + 509*d + 5 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - k = 1000. Let u be 13\/5 - 40\/k. Suppose u*b = -2*f + 3*f + 10, 0 = -3*b - 3*f + 6. Put 1, b, -1 in increasing order.\nAnswer: -1, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 c, and 1 t when three letters picked without replacement from {t: 1, c: 4, w: 1, k: 1, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*i + 17. Let t be (-2)\/(-3) - (-3)\/i. What are the prime factors of -2 + 5 - (-1)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 322 = -63. What is the remainder when 242 is divided by b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.38564 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*c + 54 = 0. Let p = c + -2. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-10))\/((-14)\/(-10)). Let m = z - 0. Determine t, given that 4\/7*t + m*t**2 + 2\/7 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*g*r**2*x**2 + 4*g*r**2 + 2*g*r*x - 6*g*x + r*x**3 - 4*r*x**2 - 136 wrt x.\nAnswer: -12*g*r**2 + 6*r*x - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1929*m - 1652*m = 1662 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 341 and 157639123?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 4*l = 256. What is the remainder when l is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2695)*1*-1)\/(-3*1*(sqrt(891)*-2 + sqrt(891) - sqrt(891) - sqrt(891))).\nAnswer: 7*sqrt(5)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 165588 to the power of 1\/2, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/17)*j*(j**19*j)\/j assuming j is positive.\nAnswer: j**(341\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 345 - 95. Is m\/7 + 2*(-4)\/(-28) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 439249.\nAnswer: 1756996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z - 3. Let i(n) = 7*n + 5. Let j(c) = 6*i(c) + 10*r(c). Let q be j(1). Suppose -18 = -q*x + 90. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -14*i**3 + 13*i**2 - 32*i. Let p(m) = -27*m**3 + 22*m**2 - 63*m. What is 7*l(x) - 4*p(x)?\nAnswer: 10*x**3 + 3*x**2 + 28*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3539224 to the power of 1\/2, to the nearest integer?\nAnswer: 1881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 61. Let v = d - -46.99. What is the third biggest value in v, 1, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2893 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + r - 3. Let j(g) = g**2 - 4*g + 7*g + 2*g**2 + 9 - 5*g. Let t(f) = 7*b(f) + 2*j(f). Determine t(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015609043 to 7 decimal places.\nAnswer: 0.0001561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 4*x**7\/105 + 2*x**4\/3 + 24*x**2. What is the second derivative of v(u) wrt u?\nAnswer: 96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(70)*2)\/(sqrt(360)*-1 - sqrt(360)).\nAnswer: -sqrt(7)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4570 - -4572. Solve -p*n + l = 18 - 9, -4*l + 16 = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 39, -15, -123, -285?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 21184?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 313 = -3*q. Are q and 96 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -740433*r**4 - 4*r**2 + 974*r - 22?\nAnswer: -17770392*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*s - 165*s + 30090 = -1501*s - 865*s for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -75 - -231828?\nAnswer: 231743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 15217*o - 29815*o + 14622*o.\nAnswer: 24*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8064, 16126, 24188?\n\"Answer: 8062*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 10*q**2 - q + 8. Let y be r(10). Put 3, -6, y, 1 in ascending order.\nAnswer: -6, y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, y: 6, e: 1, m: 3}. Give prob of picking 2 m.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -207*c**6\/40 - c**4\/8 - 9*c**3\/2 + 25*c**2 + 14*c. What is the second derivative of i(b) wrt b?\nAnswer: -3726*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a - 1. Let y(k) = -k**2 + 2*k - 1. Let q(w) = 4*t(w) - 5*y(w). Let n be q(-2). Suppose -5*j + n = -5. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*16\/192)\/((-1)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from {l: 4, q: 6, i: 3}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14338.4ug to kilograms.\nAnswer: 0.0000143384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 7*b - 8. Let a be 0\/(b - (1 - 1)). Suppose a = 4*j - 92 - 560. What are the prime factors of j?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*s = -248*s + z - 5, -2*z + 20 = 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -20\/3*i**3 - 2 - 40*i - 12*i**2 - 1\/60*i**6 - 2*i**4 - 3\/10*i**5. Let a(m) = 0. What is m?\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 9:31 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 0*o - 3 - 1. Let y(b) = -b + 11. Let q(c) = 25. Let r(n) = q(n) - 2*y(n). Let d = -43 + 39. What is d*u(j) - 5*r(j)?\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(275)) - (sqrt(275) + (sqrt(275) - (sqrt(275) + sqrt(275)*2)) + -1)**2.\nAnswer: -282 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2021, 4, -365.\nAnswer: -2021, -365, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) 0.05 (c) -1\/6 (d) -17 (e) 0.2 (f) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4490366 is divided by 35922.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*d = -13, -5*d + 48 = -3*w + 76 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*k - 6, 2*k + 4*z + 4 = -4. Suppose k*n = -5*r - 5*n - 15, -5*n - 15 = -3*r. Are 0 and r nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000765052 rounded to 6 dps?\nAnswer: -0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 - -59. Is 2\/1213 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 3*x - 2. Let z be p(4). Suppose -3*o = 4*d - 23, -4*d = -z*d + 3*o - 13. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05303 + -71.65697. Let g = -72 - j. Let a = -0.01 + g. What is the smallest value in a, 2, 0, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-12))\/((-2)\/6)*-6. Let q(v) = v - 2*v**2 + 0*v - 4*v**2 + 1 + 7*v**2. Give q(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggrkkgckxc. What is prob of sequence gx?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -9665*t. Let k(h) = 537*h. What is z(k(x))?\nAnswer: -5190105*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 - 8*b**2 - 11*b**2.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9 - 3*x - 6*x + 0*x - 2*x. Let c(v) = v**2 - 14*v + 18. Let q be c(12). List the prime factors of p(q).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 639355 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 11 + (-2 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -156 + 2?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 13*y - 26. Let j be r(-9). Find the second derivative of j*f + 4*f**4 - 3 + 0 - 24*f**4 wrt f.\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 290 = -5649. Let c = v + 19342\/83. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5*c + 46 = 21, 1 = 3*l - 4*c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 326309195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*m = -98, 17*m + 31 = h + 15*m. Is -99 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3131 - 3130.994044. Round h to 4 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.07. Let y = 0.05 - 0.04. Let t = w - y. Is t < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1595)\/(-110)*(-16)\/8.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.342 (b) 1 (c) 2\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -21328495?\nAnswer: -21328497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*g + 10*g. Let t(s) = 11437500*s**3 + 5*s + 10. Let a be t(g). What is a rounded to the nearest 1000000?\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b - 6*b = -5*r - 30, -12 = -3*r + 4*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*n = -5. Let g be n + (-98)\/21 - 16\/(-6). Solve 4*p + 2*w + 20 = 0, 2*p + g*w + 4 = -10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1\/3, -15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/66 and 1\/27247?\nAnswer: 163482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p = 16791 + 1724. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15339.4941 rounded to the nearest one hundred?\nAnswer: -15300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22114231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 - -53. Sort 3, -5, m in descending order.\nAnswer: 3, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + 3*-1*sqrt(121) + sqrt(121))\/(-6*sqrt(99)).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d - 96*d**2 - 4*d**3 - 90*d**2 - 97*d**2 + 9 - 3*d**3 + 287*d**2 to the form o*d**2 + t*d + l + u*d**3 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(36)\/(sqrt(6)*-2))*-3)\/((sqrt(242) + 1*sqrt(242) + sqrt(64)\/sqrt(8))*4).\nAnswer: sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 - 7*q + 4. What is f(-6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvk when three letters picked without replacement from {i: 3, d: 1, b: 1, v: 10, m: 3, k: 1}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-130)\/104*(-12)\/(-3) - 5)\/((-1)\/(-1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1122, -2248, -3374, -4500?\nAnswer: -5626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216377, -433579, -650781?\nAnswer: -867983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-27)\/(-45))\/(1\/10))\/((-4)\/10)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570375515 to the power of 1\/2, to the nearest integer?\nAnswer: 39628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - (2 + -4 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d + 56. Let m be i(9). Let w be (58 + -57)\/(m\/10). Solve w*k - 19 = -4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10381 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 50 = -17*t - 18*t. Let d(v) be the second derivative of -7\/6*v**3 - 8*v + 0 - 6*v**t. Differentiate d(r) with respect to r.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -7*k - 12. Let j be 174\/(-13)*4\/130. Let c = j + 2\/169. What is the third smallest value in c, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11*1)\/((-17)\/(-34)). Suppose 3*a + 3*g = 15, -2*a - 3*a - 2*g = -p. Find k, given that 19*k**a + 2*k**3 - 2*k**5 - k + k - 11*k**4 - 8*k**2 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 856 - 862 = -3*c + 3*q, c = -4*q - 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, -1.9, -2\/19, -0.9, 0.3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81189 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/54 and -76\/83253?\nAnswer: 1498554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -451, -918, -1385, -1852?\nAnswer: -2319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*(-180)\/27?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - 2*u**2)*(2*u - 4 + 2 - 4*u) + 0*u**2 + 3*u**3 + 0*u**2.\nAnswer: 7*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = 3*k. Suppose -1 = j, 4*t - 12 - 32 = k*j. Calculate the highest common factor of t and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 0*a + a**2 + 7\/3*a**3 + 0 + 1\/12*a**4. What is the remainder when d(8) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -16952*o. Let g be k(-1). Suppose 2*r - g = -2*b + 5*b, 2*r + 5648 = -b. What is b rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(400)\/sqrt(8) + (sqrt(50) - -6*sqrt(100)\/sqrt(2)))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660202366?\nAnswer: 2, 709, 465587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.060926 and -0.147?\nAnswer: -0.008956122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*i - 10, 0 = -2*o - 3*o + 3*i - 62. Let g = -2 - o. Let u = -6 + g. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10238, 20478, 30718?\n\"Answer: 10240*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-20))\/(190\/(-9025)))\/((-4)\/(-16))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4377?\nAnswer: 3, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 500 divide 115047758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p**2 + 2*p + 5. Let z(g) = 7*g**2 - 4*g - 6. Let j(i) = -6*a(i) - 5*z(i). Let x(u) = -3*u**2 - 2*u. Calculate -2*j(v) - 9*x(v).\nAnswer: v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3 - 1044*f**2 + 218831*f + 219876 = 0 for f.\nAnswer: -1, 292, 753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 255 + 253. Suppose c + 2 = 0, f*c = -4*p - 2*c + 12. Solve p*i - 13 = 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2204*l**3 - 14*l**2 - 15*l - 28. What are the prime factors of f(-3)?\nAnswer: 59399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 301176.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 4, n: 1, i: 3, f: 8}. What is prob of picking 1 i and 1 f?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 3*b**2 - b**2 - b**2 - 2*b**2 + 4*b**2 + (31*b - 76*b + 29*b)*(-13 - 9*b + 13) to the form v + l*b**2 + n*b and give l.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -34*v - 14. Let s = 16 + -22. Let m(c) = -c**2 - 5*c. Let w be m(s). Let n be k(w). What is the highest common divisor of 76 and n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 8) + -2 - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.025707 to three dps.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 389390989 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4423 divide 463035888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 18. Let b be (678\/l)\/(3\/(-50)). What is b rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 103\/4 (b) -3\/5 (c) 1\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*i + 14 = -35*i + 2*n, i = -5*n - 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 7*u - 3. Let c be r(-6). Let g = c - 3. Let z = 4 - g. Solve -4*w - 19 = -4*v + v, 0 = -2*w - z*v + 18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((225\/(-120))\/(-15))\/((-3)\/36)*740\/15.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -4, 24 in descending order.\nAnswer: 24, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 0*o**2 - 35\/108*o**4 - 2\/189*o**7 + 5*o + 4\/15*o**5 + 10 + 1\/9*o**3 - 1\/18*o**6. Suppose k(w) = 0. Calculate w.\nAnswer: -6, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -ad7?\nAnswer: ad3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 57. Let u = -34 + o. Solve 4*s - l - 1 = -10, u*s = -l - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33864520*h*u**2 - 5*h*u + 8*h - 3*u - 11393 wrt u?\nAnswer: -67729040*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 7:30 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -77 + 0.3995\nAnswer: -76.6005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-4\/5))**(-22) assuming i is positive.\nAnswer: i**(-308\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 764.4 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 10592 in decreasing order.\nAnswer: 10592, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/154 and 37\/490 - 280\/350.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3eb (base 15) to base 11.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 0*u - 1\/5*u**3 + 152 + 15\/2*u**2. Factor q(h).\nAnswer: -3*h*(h - 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsppppspwppppppppppw. What is prob of picking 1 w, 1 s, and 2 p?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 152*i - 1015. Let h be n(7). Sort h, -1, 9, 55 in descending order.\nAnswer: 55, 9, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 6 + 6)*((-5 + 4 - 1)*(-v + 2 - 2) - 82 + 37*v + 187 - 106) to y*v + j and give y.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 284017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = -5*k + 700. Is (-1)\/(-3) + k\/6 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 7. Let a be f(-7). Suppose a - 12 = 3*z. Let q(l) = -l - 2. Calculate the lowest common multiple of 10 and q(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(1\/(-2))\/(3\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 - 69*b + 122*b - 54*b + 686.\nAnswer: -4*b**2 - b + 686","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 5*c - 39, 464*x - 7*c = 462*x - 45 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-24)*(-16)\/(-20)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21262 = 9*p + 499. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/17, -2, -112, 1\/5 in ascending order.\nAnswer: -112, -2, -1\/17, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -11*n + 367. Let m(x) = 8*x**2. Let p be m(-1). Let s = p + n. Does 26 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 423 divide 208116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(2 + 28 + 158*m + m**2 - 34).\nAnswer: -m**2 - 158*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -141 - -656. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/3857 or -1.62?\nAnswer: -1.62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 * -0.0419.\nAnswer: 1.7179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -10*j**3 - 5*j**2 - 4*j + 1. Let l be f(-3). Let y = -121 + l. Suppose 5*k - y = 3*b + 98, -b = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11629 divided by -3.\nAnswer: 11629\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13 + (-252)\/(-20))*-200. Sort u, 5, 3, -4, -1.\nAnswer: -4, -1, 3, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(1280) + -2 + (sqrt(1280) + (sqrt(1280) - (sqrt(1280) + -1 + -5) - sqrt(1280)) - sqrt(1280)) + sqrt(1280) + -4*(sqrt(1280) + 1))**2*5.\nAnswer: -2880*sqrt(5) + 57780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-16))\/(((-123)\/12 - -3) + 4).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.46 in 0.09, -12\/35, 2, -0.03?\nAnswer: -12\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450) + sqrt(450)*-2)\/sqrt(9) - (sqrt(200) + -4) - (sqrt(50) + 4 + sqrt(50)*2 + sqrt(250)\/(sqrt(45) - sqrt(5)))**2)*6.\nAnswer: -3747 - 930*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 325 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167571 is divided by 917?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 2 + -7 + 4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1045 and -139\/330.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 104352641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 414 + -2*1\/(-2). Suppose -5*v - 4*f + 9*f + c = 0, 0 = 4*v + 4*f - 348. Suppose -i = -4*h + v, 84 = 5*h - 2*i - 23. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.194 - -0.058. Let b = q - -3.136. Is b at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - m**2 + m + 1. Suppose 7*w - 895 = -902. Let x(r) = -r**3 + 4*r**2 - 2*r - 4. Determine w*x(j) - 4*b(j).\nAnswer: -3*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 23. Suppose 3*g = 0, 2*g - 559276 - 520724 = -n*j. What is j rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -26. Suppose f + 2*s - y = 0, 7 = f + 2*s + s. Which is the closest to 0? (a) 3 (b) f (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Let l be (-2 + 0)*(q + -1). Solve -4*t + 11 = -u, -t + 21 = -l*t + 5*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*i + 5*p, 2*p + 8 = -3*i + 4*p. Let y(s) = s + 1. Let j be y(5). Let b be i\/3 - (-28)\/j. Calculate the greatest common factor of b and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/12 (b) -222 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.23 + 1.23. Which is the smallest value? (a) o (b) 5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*o**2 + 2098*o + 30*o**2 + 3906*o.\nAnswer: 2*o**2 + 6004*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3885)\/35 - 55789\/(-517).\nAnswer: -34\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.458773ms to nanoseconds.\nAnswer: 458773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*o**2*z**3 + 2*o**2 - 24*o - 2*z**3 - z**2 wrt z?\nAnswer: 360*o**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 40*g = -36*g - 470, 5*d - 2*g = -1215. Suppose 0 = 2*p + 7 - 17, -4*z = 4*p + 960. Is d >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.3. Suppose -2*x - 6 = 0, -4 = -2*p - 3*x + 5*x. What is the nearest to t in p, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18348 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*d - 90 = 0, 2*t - 55 = 2*d + 5. Is 92\/3 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**4 + 4*n**4 - n**4 + (-2 + 1 + 0)*(972*n**4 - 618*n**4 - 27325*n**4 - 21871*n**4).\nAnswer: 48840*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 3:39 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5587 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2475 + 3?\nAnswer: -2472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-10)*484\/(-3630))\/(4\/(-30)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10757*i + 177977 = -90948 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, x: 9, a: 3}. What is prob of sequence xaxa?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -10 - (-43 - -29)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3177, -6337, -9497?\nAnswer: -12657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6516 minus 6.64?\nAnswer: -6522.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 851*c - 22978. What is x(27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279151329?\nAnswer: 3, 41, 1213, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vevebch. What is prob of picking 1 c and 2 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335694 is divided by 304?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 26 + 14 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27058279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 25*x - 9. Calculate k(-23).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135017, 138020, 141023, 144026, 147029, 150032?\nAnswer: 153035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11, -4, -68, 3, 5, 3841 in increasing order.\nAnswer: -68, -4, -2, 3, 5, 11, 3841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4948093121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z. Let r(n) = n - 8. Let p be r(10). Let j(o) = 14*o + p*o - 33*o. Determine d(j(k)).\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) - (-1324)\/10. Let u(f) = -f + 0*f + 2*f + 7. Let i be u(5). What is the greatest common divisor of w and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -100111111011111111001011?\nAnswer: 100111111011111111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l**8*l))\/l)**(-3\/2)*l**(-10)*l**(14\/3) assuming l is positive.\nAnswer: l**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0781 rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 126, -2904, 0.1, 3\/2 in descending order.\nAnswer: 126, 3\/2, 0.1, 2\/21, -2904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 38. Let j = -16.6 - x. Which is the biggest value? (a) -0.6 (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/5 - 35757*p**2\/5 = 0. What is p?\nAnswer: -35757, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/10)\/(1\/30). Suppose 3*o + a = 4*q - 0*o, 3*o = -12. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 97097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -95a?\nAnswer: 95b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + r**4 + (5*r + 0*r - 4*r)*(-3*r + 3*r + r**3).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -2755026 and -2755026 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4720674?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 4*l + 0 - 5\/4*l**3 - 1\/40*l**5 - 9\/4*l**2 - 7\/24*l**4. Suppose g(n) = 0. What is n?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1561 + 1567. Solve 3*x = g - 7, 11*x + 2*g + 30 = h*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from {c: 2, e: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 8)*160\/(-6). Let l = 258 + d. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61 - 12) + 6 + (5 - (4 - -4)) + 0?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven halves of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1583525 to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.093 + -11.393. Let g = l - 36.7. Let s = g - -61. Put 3, s, -1\/3 in descending order.\nAnswer: s, 3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3124 = -t + 3*t - 19*c + 303*c, 22 = 3*t - 2*c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*y = 0. Suppose y*l + 2*l - 36 = 0. Does 18 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15646 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 34*d**2 + 66*d - 66. What is o(32)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(8)\/sqrt(4)*2 + sqrt(2)).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 0, 552, -9 in descending order.\nAnswer: 552, 25, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/(((-26)\/(-8960))\/13). Round x to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.6, 15, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60952 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 + 3\/(-12). Suppose t = 6*h - 16 + 4. Solve 0 = -r + 2*j - h, -2*r = -j - j + 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*w + 279 + 3761, 2*g = -5*w + 4004. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 1, -39, -95?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -56*r**2 - 2899*r - 2192. Determine v(-51).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 5:14 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**5 - 9*r**4 + 3*r**3 + 21*r**2 - 12 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1072 + 27.1072. Put -11, w, 4, -5 in increasing order.\nAnswer: -11, -5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*c**2 + 9 - 8 - 6 as s*c + r + v*c**2 and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.694 - -0.734. Put u, -2, -3\/7 in increasing order.\nAnswer: -2, -3\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16 (b) -4\/9 (c) -18 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 904 a factor of 16211432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2. Let i(g) = 98*g. Give u(i(y)).\nAnswer: -19208*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/63 - 2\/(-9). Let g be 2 + 1929\/2 - b. Let x = 919 - g. What is the common denominator of x and -27\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 302 - 134. Suppose -4*x + x + y = 0. Let i = x - -46. What is the remainder when i is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77805?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33289?\nAnswer: 33289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 308448\/(-19040) + 28\/(-10)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92684 is divided by 111?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 29. What is the common denominator of ((-3)\/4)\/(6\/(-130)) and m + -3 + -2 + 25\/(-40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Let z(f) = f**2 + 1 + 1 + 1 - f. Is 9 a factor of z(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1720.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.005466867 - 24.\nAnswer: -24.005466867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - d = 3, 51*d - 44*d = -5*n + 15. Solve n*b + 92 = 26*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 95. Factor 10*v**5 + 0*v**5 + u*v**3 + 51*v**4 - 4*v + 9*v + 25*v**2 - 16*v**4.\nAnswer: 5*v*(v + 1)**3*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**8\/48 - 3*v**4\/8 + 5*v**2. What is the second derivative of l(o) wrt o?\nAnswer: 140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t. Let r(o) = o**3 - 15*o**2 + 13*o + 19. Let j be r(14). Let z(n) = 7*n**2 + j*n**2 - 37*n**2. What is z(v(w))?\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/9 - 256*l**2\/9 - 506*l\/9 - 28.\nAnswer: -2*(l + 1)**2*(l + 126)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 9 = -p, l = 6*p - 2*p + 36. Let n = p - -11. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 435 divide 1917915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.58 - -2483.216?\nAnswer: 2481.636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.8416386 centimeters?\nAnswer: 0.008416386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 12. Let z be t(-7). Let m(u) = -u**3 + 2*u**2 + u. Let a be 120\/50 - (-2)\/(-5). Let g be m(a). Is g greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5180502 to three dps.\nAnswer: -1.518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*x**3 + 2\/11*x**5 + 0*x**2 + 10\/11*x**4 + 0*x.\nAnswer: 2*x**4*(x + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023832642 rounded to 7 dps?\nAnswer: 0.0002383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p - 3*p + p + (-6*p + 13*p - 6*p)*(4 - 1 - 2))*(3*p - 3*p - 4*p**3) to w*p**3 + z*p + b*p**4 + c*p**2 + m and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-4) - 2 - (-3)\/(-56) and -23\/12.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*t - 4378 = 914, 5*t + 4221 = 4*v. Calculate the remainder when v is divided by 53.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*q - 7124 = -426*q. Solve 70*c + q*c = 672 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139 - -141. Solve q*d - 3 = 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177, -178, -169, -144, -97, -22, 87?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 - 45. Let l = j + -6. Let q = l - 26.000021. Round q to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 82*a**2 - 69*a - 5646. What is w(-82)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -3 - (4 + -5 + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 65, -2, -1 in increasing order.\nAnswer: -6, -2, -1, 1, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**3 + 5*a**2 - 7*a - 3. Suppose 3*u = 0, 2*z + 5*u - 15 = -z. Let s(b) = 4*b**3 + 7*b**2 - 10*b - 4. What is z*s(g) - 7*p(g)?\nAnswer: -g**3 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (1*(sqrt(320) + 1) + 4 + (sqrt(320)*2 - sqrt(320)) - (1 + -1*sqrt(320) + 5)) + 5)*-3)**2.\nAnswer: 2592*sqrt(5) + 26244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.681 - -0.44. Let x = -0.891 - n. What is x rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-11))\/((-2)\/6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9778354799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 - -124. Let q = 65 - f. Let w = q + -14. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -8971003?\nAnswer: -8971003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = l - 6, 0 = -u - l - 2 + 4. Suppose 2*o - 4 = -4*h, -6*h + 3*h + 5*o + 3 = 0. Which is the nearest to h? (a) -0.1 (b) 0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5936165461.\nAnswer: 29147, 203663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -172 (b) -0.4 (c) -0.187 (d) -2\/7 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1033979664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05608957 rounded to 4 decimal places?\nAnswer: -0.0561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*q - 2*l + l, -q - 5*l + 23 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhd when three letters picked without replacement from {d: 4, h: 7}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.9 + 3. Let f = 3.77835 - -1.22165. Which is the closest to n? (a) 95 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -936 + 8839 = 3003*y + 1532*y - 1167 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -73*p**5\/4 + 725*p**3\/6 + 811*p. What is the second derivative of m(l) wrt l?\nAnswer: -2190*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8118)\/5940 - ((-81)\/(-25) + -3)*-5\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3436*i - 3789*i + 7926*i.\nAnswer: 701*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*2 - -4. Let x = 1 + q. Sort -4, x, 1.\nAnswer: -4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49056505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q + 12*q + 5 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2781659 rounded to one decimal place?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -20150345?\nAnswer: 161202760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1822, 4, 357520 in decreasing order.\nAnswer: 357520, 1822, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k - i + 4 = 0, -2*i = 3*k - 8. Let d be -5 - (k - 2) - -1. Let q be (9\/6 + -2)*d. Solve g = 3*x + q, -3*x - x = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 2. Let u be 3\/4 + (-60)\/(-48). Let a(n) = 3*n - 3. Let l(x) = u*a(x) + 5*b(x). Find the first derivative of l(h) wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1416*n + 322*n + 26710 + 29560 = -44534 for n.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -1)\/(14\/28). Suppose -8 = z*r - 5*r. Let l(j) = j**2 + 13*j - 5. Is l(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 84498866 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5 + 15. Find the third derivative of 194*w**g - 9*w**2 - 188*w**5 - 3*w**2 wrt w.\nAnswer: 360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*i**2*o**2 - 13*i**2*o - 4*o**3 - o**2 + o wrt o?\nAnswer: -38*i**2 - 24*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/4 + 235*b + 944.\nAnswer: -(b - 944)*(b + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -5 (c) 2 (d) 10.9 (e) -2\/15 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/5287360 and -33\/186620.\nAnswer: 1591495360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0 + 0)*((-3 - 4 - 1)*(-2 - 2 + 2) + 1 - 1 - 1)*(-16 - 6 - 2).\nAnswer: 360*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 31699 to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + 35?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/8, 1\/2, 12\/37, 277, 4?\nAnswer: 12\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f. Let i = -54 + 55. Give c(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 4 - 4)*(-3*f**3 + f**3 + f**3) + 6*f**4 + 2*f**4 - 2*f**4.\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 75828830 divided by 1083269\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 20. Let f(c) be the first derivative of -4 + 1\/2*c**2 + 0*c. Give f(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*2919\nAnswer: 11676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56299?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50382 and 8298.\nAnswer: 23226102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 91*r - 94*r. Factor 113*f**3 - 8*f**5 - 98*f**r + 10*f**2 - 12*f**5 - 20*f**4 - 5*f.\nAnswer: -5*f*(f + 1)**2*(2*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 11. Suppose -f = -3*b - 4, i*b + 5*f - 20 = -b. Factor 2\/7*z + 6\/7*z**2 + b.\nAnswer: 2*z*(3*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4222442 + -1?\nAnswer: 4222441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -244 + 4?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o + 58. Let y be v(16). Solve -25*z + 30*z - y = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**6\/120 - g**5\/10 + 7*g**4\/24 - g**3\/6 + 2*g**2. What is the units digit of y(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f**3 - 1090*f**2 + 497*f + 24223. What is z(-182)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 115*v**5 - 959*v**4 + 959*v**4 - 32 - v**2 + 43 + 2*v**5 - v**2 + (-3 + 3 + v**4)*(0*v + 3*v - v) - 3*v - v**5 + 3*v - 1 + 1 + 2*v**5.\nAnswer: 120*v**5 - 2*v**2 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-2178)\/11)\/(-22)*2\/(-102).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5850426 + -5850428.89999824. Let y = s - -2.9. Round y to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 3*p**2 - 87*p + 15. Let f be v(-8). Put 11, -3, 5, f, 1 in descending order.\nAnswer: 11, f, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -582 times -0.1\nAnswer: 58.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 435\/216 - 4*(-2)\/(-36) and 81\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 40*u + 265. Determine f(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2415 (b) -4 (c) 0.1 (d) 0.87 (e) -0.3 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 843764872 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.48 + -0.59. Let t be ((-2)\/(-8))\/((-10)\/(-20)). Which is greater: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*((-103888)\/52548 + (2 - 704\/348))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16658 = -43*g + 16701 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 3*o + 40, 0 = -3*f - 2*o + 6 - 53. Let n = f + 19. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 11 - 24 - (-16 - (-1 - 5))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 312*u**6*z + 765*u**2*z wrt u.\nAnswer: 37440*u**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 195679.9677 - -256371.\nAnswer: 452050.9677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*z - 492*z**3 + 194*z + 86*z**3 + 75*z wrt z?\nAnswer: -2436*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140190 = -7*j - 245510. What is j rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*t + 9812 - 731120 = 160441. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 - 2*h - 4 + h**2 + h. Let v(y) = y**2 + 5. Let a(w) = -3*k(w) - 2*v(w). What is the remainder when 10 is divided by a(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141*p**3 - 1267*p**2.\nAnswer: 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 47 - 21. Let n = 15 + g. What is the remainder when n is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + -6 + 3 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110001 + -1101011011?\nAnswer: -1111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 334316910*b**2 - 56155258.\nAnswer: 668633820*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 298, 1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**2 + r - 11. What is the remainder when h(6) is divided by 18\/117 - 102\/(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 36*a + 31*a = -11495, -3*o + 17162 = -4*a. Calculate the highest common divisor of 30 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219347032?\nAnswer: 2, 1657, 16547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 448 and 458816?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 390.282 days to nanoseconds.\nAnswer: 33720364800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2) + (-2)\/(-4). Let f = -13 + 16. Put -4, f, u in increasing order.\nAnswer: -4, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(300) + sqrt(300))*-6 - -6*(sqrt(300) + 3)) + 3)**2.\nAnswer: 5040*sqrt(3) + 43641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 28*a**2 - 32*a + 45. Calculate s(27).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 95 + 1)*(2*l**5 - 6 - 3*l + 3*l).\nAnswer: -160*l**5 + 480","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3397146.\nAnswer: 2, 3, 23, 103, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 - 67. Suppose -2*f - 3*f = 0. Suppose 5*y + d - 73 = -0*d, f = 3*y + d - 43. What is the highest common factor of y and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 838 - 837 + 4*a**2.\nAnswer: 5*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*k - 40, -6*i + 8*i = 0. Let c be k\/((-80)\/(-24))*10\/12. Solve 5*t + c*t**2 - 15\/2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 + 1 + 7*d - 5*d + d**2 + 0*d**2 as j + p*d**2 + v*d and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 790, 67, 0.\nAnswer: 0, 67, 790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -236811?\nAnswer: -16\/236811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w + 4 = 4. Solve -5*f + 35 = 4*q, q = 4*f - w*f - 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/138)\/(-5 - (-456)\/90)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 900\/1909?\nAnswer: 900\/1909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 + 12. What are the prime factors of r?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 8*l + 1. Let d(i) = i**3 + 6*i**2 + 3*i. Let h be d(-6). Let w = -13 - h. Does 8 divide r(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 5*r + 13, -5*r - 16 = 4. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 523 - -384. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000369978 rounded to 5 dps?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371805438 a multiple of 4558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68511 by 3.\nAnswer: 22837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.127 - 0.127266. Round g to five dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.13 plus 34570955351?\nAnswer: 34570955376.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 440647, 440178, 439709?\n\"Answer: -469*f + 441116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -4)*(-8)\/132. Let j be (12\/27)\/(234\/81). What is the closest to 2\/9 in j, y, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 5*l**2 + 6*l - 1. Let d be i(6). Which is bigger: 2\/5 or d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 2. Let x(y) = -15. Let f(g) = -7. Let q(m) = -9*f(m) + 4*x(m). Give -3*l(v) - 2*q(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 7*x**2 + 4. Let k be s(7). Suppose 1 = f + k. Is f + (-3)\/(-1) + 293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -6. Let q = -7 + o. Let l = -1 + 1. Which is the nearest to l? (a) -3 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.3 (c) -1\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4495 - -6728. Does 29 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**6\/40 + 57*f**5\/20 + 105*f**4 + 392*f**3 - 258*f**2. Solve z(q) = 0.\nAnswer: -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-22))\/(5\/(-5))*2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a factor of 2437752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 755.185 to the nearest 10.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.8 (c) -5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/4*l**2 + 0*l - 1\/8*l**3.\nAnswer: -l**2*(l + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3435.9209 and 3433.881.\nAnswer: 6869.8019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27341, -109390, -246143, -437600, -683761?\nAnswer: -984626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 3*q. Let t be v(2). Suppose -4 = -552*w + 550*w. List the prime factors of 1 - t - (-83 - w).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 304924 to the nearest 1000.\nAnswer: 305000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-95)\/(4560\/32)*-36?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 + c**4 + c**4 - 4*c**4 + 0*c**4 + 6*c**4 + (-c + 2*c + c)*(14*c**3 + 19*c**3 + 72 - 74).\nAnswer: 69*c**4 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2141432 to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12*1\/(-2)*-1. Let b be (-3*1)\/(p\/(-4)). What is the second derivative of -6*a - a**b + a + a + 3*a wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(240)\/(2*sqrt(5)))*3.\nAnswer: -15 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -206 less than -199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z = 3 + 77 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3625340 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 - 10466*s + 248*s**2 + 10466*s.\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2560013051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, t: 6, c: 1, l: 1, h: 3}. Give prob of picking 1 t and 1 h.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 20*q - 6*q + 562 - 280 - 282. Let g(o) = -o. Give -6*g(m) - t(m).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -157*c**2 - 25*c - 6*c + 30*c + 191*c**3 - 35*c + 5*c**4 - 3*c = 0.\nAnswer: -39, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, p: 1, k: 2, d: 2}. Give prob of sequence cd.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 532102173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14233?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 5, 2\/13, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkdkkkkkkkkkdkkkkk. What is prob of sequence kdkd?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -256 - -7?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05594 times -17?\nAnswer: 0.95098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 74*c**3\/3 + 1558. Let x(a) = 5*a. What is x(l(p))?\nAnswer: 370*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 5:22 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21\/100 + 2287\/300. Find the common denominator of (22\/9)\/(2\/(-15)) and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(5\/2)\/u)*u*u\/(u**(3\/4)*u))\/(((u\/u**(1\/3))\/u)\/(u*u\/(u*u**(-8)))))**(7\/5) assuming u is positive.\nAnswer: u**(763\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, u: 2, l: 14}. Give prob of picking 1 l and 1 u.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {n: 1, f: 3, j: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 52496193\nAnswer: 15748857.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101110101 - 11000011000110?\nAnswer: -11111000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -15*x - 117. Let z be c(-8). Suppose -24*g + 51 - z = 0. Solve 0 = j + g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/77504 and 31\/6920?\nAnswer: 387520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 14*t + 41 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2295406.2 to the nearest ten thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v + 63. Determine d(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 11001100?\nAnswer: 11001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1141 - 176 = -5*t + z, t + 3*z + 209 = 0. Let f = t + 411. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c. Let j(h) = -209*h**2 - 172*h**2 - 4 - 74*h**2 + 4. Determine f(j(z)).\nAnswer: -910*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-2)*(-440)\/(-550)*(55\/2)\/(-11)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 84*a - 34 = 87*a + 5, 13*l = 4*a + 142 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 36\/(-15) - ((-528)\/80 + 7). Put -12, -3, -2, a in descending order.\nAnswer: a, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 m when three letters picked without replacement from rrkrzkmkrrrarrk.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56576 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: Collect the terms in 1684*x**3 + 6550*x**3 - 8250*x**3.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 560181?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4 + (-5)\/(-2)) - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 23*w - 8. Let t be s(0). What is t rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -9*a**2. Let i(d) = 302 - 3*d - 302. Give i(n(m)).\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -75369993051136 - 0.4?\nAnswer: -75369993051136.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-7)\/(-2)*140\/49)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19075.15938 - -19075. Let h = r + 0.161. What is h rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 40 - 146. Let b = 111 - g. Suppose 1 + b = 2*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/1816 and (-2 + (-82)\/60)*891\/396 + 8.\nAnswer: 9080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -110 - -667. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*b - 2*f - 18, -2*b + 14 = f. Let l be ((-6)\/(-4))\/((-6)\/b). Let g be 10*l\/(-4) + 0. Solve -g*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2292 not equal to 2302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/((-121)\/154) + 6 - -3. Put 4, -0.5, -10, o, -14 in increasing order.\nAnswer: -14, -10, o, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422982964.\nAnswer: 2, 37, 2857993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(99)*5)\/(1*sqrt(9)*-3 - 4*sqrt(27)\/sqrt(3)).\nAnswer: 10*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1124.564 - 0.6.\nAnswer: -1125.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(4\/7)*j*j**(-7))\/((((j*j*j**(-5\/2))\/j*j)\/j)\/(j*j*j**12*j*j)) assuming j is positive.\nAnswer: j**(181\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4.61*-2\nAnswer: 9.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 33\/755792?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (6\/2 - 3). Let n be (-20)\/15*3\/l. What is the second derivative of -13*j + 3*j**4 + 10*j + n*j**5 - 3*j**4 wrt j?\nAnswer: 80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(192) - (sqrt(192) - (sqrt(192) - (2 + sqrt(192) + 2)))) + ((sqrt(33) + sqrt(825))*6)\/(sqrt(11) + sqrt(132)\/(sqrt(60)\/sqrt(5))))**2.\nAnswer: -144*sqrt(3) + 988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8988399?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2. Let a(v) = -950202*v**2. Give a(m(u)).\nAnswer: -3800808*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2912 + 3637. What is the lowest common multiple of 1450 and t?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.722 + 0.7422. Let f = 0.020199154 - h. What is f rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*c + 49*c = 78. Let r = 33 - c. Let d(l) = l**3 + 4*l**2 + l - 3. What is the least common multiple of d(-3) and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g + 29. Give a(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (493 - 100 + 955)*(-3*h - 16*h + 6*h) as v + a*h and give a.\nAnswer: -17524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 7*g - 8. What is k(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*q**2 - 340*q**2 + 1013*q**2 - 329*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216 and 18902052.\nAnswer: 37804104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 5030*g**2 - 1624250*g - 7560518750.\nAnswer: 2*(g - 1135)*(g + 1825)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 135\/5 + (-1)\/(-1). Suppose 0 = -3*p + p + d. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**2 + 145*i - 33. Give l(36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27, 2123259, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13814 - 13778. Calculate the lowest common multiple of 2728 and u.\nAnswer: 24552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484213.865 rounded to the nearest ten thousand?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -155 (b) -2\/3 (c) 2\/13 (d) -0.5 (e) 3 (f) -0.005\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k - 12*k - 10*k + 8*k**3 + 17*k**3 + 27*k.\nAnswer: 25*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**8\/6720 + b**6\/480 + b**5\/240 + b**3\/6 + b. Let q(l) be the second derivative of y(l). Let q(z) = 0. Calculate z.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21112 (base 4) in base 5?\nAnswer: -4343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70889 and 78659525?\nAnswer: 5453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190 - 172 + 2*b**3 + 539 - 177.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**6\/20 - w**5\/60 - 17*w**4\/24 - 13*w**2 + 4*w. Find the third derivative of q(k) wrt k.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -142 + 1 + -6*(-2)\/(-4). Let f = -433\/3 - b. Is -0.02 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -4. Let o = s - -6. Find the second derivative of b - 2*b + 2*b**5 - o*b**5 wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-6))\/((-5)\/(-30)). Suppose d + 5*k = 27, -3*k - 5 = 5*d - 6*k. Suppose d*f + 24 = 3*f. Solve 5*u = -f + x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 763266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6192.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)*-3 + sqrt(20)\/(sqrt(16) - sqrt(4)))*1)**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t - 17. List the prime factors of y(-12).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8388 + -2276. List the prime factors of g.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 6. Suppose -3*c - 2*c - 2*i = -18, 3*c - 8 = -4*i. Let q be h(c). Let d be (-8 + q)*6\/(-15). What is the nearest to 0 in -0.2, d, -4\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x - 12*x + 2 - 2 + 50*x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -3167909.\nAnswer: -1\/3167909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -12*r**3 - 1353*r**2 + 325*r - 1385. What is o(-113)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + (sqrt(35)\/(sqrt(42)\/sqrt(6)))**2 + sqrt(5) + sqrt(5) + -1 + (sqrt(180)*-2)**2 + -3.\nAnswer: 2*sqrt(5) + 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 12 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 346045582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -71726520 rounded to the nearest one hundred thousand?\nAnswer: -71700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/5 + 9*b**2\/5.\nAnswer: -b**2*(b - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9179 is divided by 2097?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from bbbkpbuypuky.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -7*i + 24 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.107245 and -160082.\nAnswer: -160082.107245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7067.413g to tonnes.\nAnswer: 0.007067413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -52 + 62 + -77.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10419172.\nAnswer: 2, 643, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 2) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29922 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42696)\/92 - (-2)\/23. Let r = d + 828. Calculate the greatest common divisor of r and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 20*p**3 + 5*p + 102. What is the units digit of z(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-42)\/(-105)*(-30)\/(-156)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 190913 (base 12) to base 11\nAnswer: 279171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 44.5257?\nAnswer: -40.5257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145424309?\nAnswer: 19, 89, 85999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26, -41, -52, -59, -62, -61?\n\"Answer: 2*z**2 - 21*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*j + 3*d, j + 2*d = 3*d + 5. Suppose -2*i + 4*i - 17 = 3*h, j*i = 3*h + 25. Solve 6*o - i = 5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 a when four letters picked without replacement from {x: 2, c: 1, k: 4, v: 8, a: 1}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 25068997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + -28 + 4 + 19 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.24, -2081?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -18 - 2362*d + 2362*d + 16 + 138*d**2. Let k(i) = i**2. Let w(v) = v**2. Let m(o) = 6*k(o) - 5*w(o). Determine m(t(l)).\nAnswer: 19044*l**4 - 552*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = -4*b + 6*v + 20, -b - 5*v = -5. Put b, -4, -3, 2 in ascending order.\nAnswer: -4, -3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 23. Let n be 5\/(-25) + (-132)\/(-10). Suppose -3*x + 2*w + 19 + n = 0, 5*w - 22 = -x. What is the least common multiple of x and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 4, w: 2, p: 1, m: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4 = -8. Let h = v - 2. Solve 4*b = -3*z - 13, h*z + 0*z - 3*b + 3 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (3 + -1))*2\/2. Suppose -3*x + j*x + 1 = n, -4*n = -4. Solve x*g + 10 = -5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(637) + -1)**2 - 6*(-1*sqrt(117))\/sqrt(9) - (2 + (sqrt(13) - (1 + sqrt(1053))) + sqrt(52)\/sqrt(4) + 1 + 3).\nAnswer: -sqrt(13) + 633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-33352)\/(-110) + -6)*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16994 and 464.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (5 + 0 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -9, 2, -17\/8, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*538252\nAnswer: 75355.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26032a (base 11) in base 14?\nAnswer: a9783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -135.\nAnswer: 40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/16513446 and -26\/30274651.\nAnswer: 181647906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 69*(4\/(-2))\/(-2). Let u = -53 + d. Calculate the remainder when 62 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i*i**15)))\/i*i**(-29))**46 assuming i is positive.\nAnswer: i**(-598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109*x*z**4 - 54*x*z**3 - 2*x*z + 2*z**4 + 3*z**3 + 81302*z**2 wrt z.\nAnswer: 2616*x*z - 324*x + 48*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, u: 2}. Give prob of sequence fffu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -0.697791?\nAnswer: 2.302209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/5)\/((-113)\/(-2825))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-256 - 1067 - 91 + 0 - 3 + 2 + (-4 + 2 + 4)*(-2 + 5 - 1))*(3*p**3 - 4*p**4 - 3*p**3) in the form h*p**4 + z*p + c + k*p**2 + w*p**3 and give h.\nAnswer: 5644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 2, 0.06, 0, -8.5, 0.12, 0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6740 is divided by 2246.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*t - 4*c, 3*t - 6 = -55*c + 52*c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204)\/(-330)*-11*(-3)\/(-6).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-186)\/(-15) - -3) + 822\/1370?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 4:47 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 2:22 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and (-3)\/2*180\/(-27).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248b78 (base 13) in base 10?\nAnswer: 876364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266, -1581, -6644, -16531, -32850?\nAnswer: -57209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4 + 42. Calculate the remainder when 36 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 21\/20*t**5 + 6 + 0*t + 15\/2*t**4 + 25\/2*t**3 + 3*t**2 + 1\/20*t**6. Factor g(f).\nAnswer: 3*(f + 5)**2*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 56 = 2*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, -25, -85, 2, 5 in decreasing order.\nAnswer: 9, 5, 4, 2, -25, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s + 34. Suppose -3*j + 7*j = 2*z + 46, 0 = -3*z + 5*j - 64. Let v be o(z). Calculate the greatest common divisor of 36 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 15 - 3533*x + 15.\nAnswer: -3533*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1590149748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2251539 by -69.\nAnswer: 32631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52425427.\nAnswer: 19, 53, 79, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13109826 is divided by 3233.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/7 (b) 2\/25 (c) 0.1 (d) 2 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 763925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/59 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5 = -2*h - 5*z, -2*h + 7*z - 25 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -428, -980, -1774, -2822, -4136?\nAnswer: -5728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(891)*3)**2.\nAnswer: 8019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, f: 1, h: 1, l: 1, w: 6, n: 1}. What is prob of sequence fhlw?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 > -5\/934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2 (c) -0.04 (d) -5.2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 306679 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 39\/9 - (105\/(-63) + (-3)\/(-3)). Let q be (-3)\/(12\/(-2))*-2. Let a be 1*((-10)\/q)\/2. Solve 0 = -5*w, a*w + 13 + 12 = -j*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2916 and 13347018.\nAnswer: 80082108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 703 and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 9:23 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5 - -4) + 5 - 3) + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*r - 20, 5*k + 2*r - 19 = 8. Solve -k*h + 23 = i, -2*i + 0*h = -4*h + 24 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -9*y**3\/2 + 14*y**2 + 11*y. What is the first derivative of d(r) wrt r?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - (-123 + 3 + 18). Solve 16*n - 64*n + s = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/32*(8\/(-28) + 336\/490). Let o = -27 + 29.2. Which is the third smallest value? (a) v (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2. Let z(m) = -5*m - 354 + 37*m**2 + 354 + 5*m. What is d(g) - z(g)?\nAnswer: -38*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 20 = -5*b, -2*b + 8 = -0*n + n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 216*a - 106*a - 2*a**3 - 110*a.\nAnswer: -2*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.026*0.0145\nAnswer: 0.000377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39604 is divided by 4376?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/11 (b) -0.23 (c) 15 (d) 0.1 (e) -90 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 11) to base 15.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11714179 is divided by 3904726.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*q + 313, 0 = -f - 2*q - 64 - 1. Suppose 40 = b + 4*c, -3*c - 210 = -6*b + 3*b. Let l = b + f. What is the highest common factor of 11 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 9*x**2 - 20*x - 34. Let f be a(-6). Let o be (40\/f - 50\/275) + 6. Solve -2*y - 4*r = 4, y + 21 = -o*y + r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.302 - 0.002. Suppose 0*n - n - 4*p - 4 = 0, 5*p = -5*n - 20. Let o = -26\/7 - n. What is the second biggest value in -3, o, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -526 (c) 1\/11 (d) 0.1 (e) 0.37 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 103228115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/sqrt(2)*-4)\/sqrt(4))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.064293 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*b**3*n**2 - b**3*n + 87 wrt n?\nAnswer: -42*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -144 + 144 + 0 + -8 + -1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - f**2 + 3*f**2 + (29140*f + 159*f**2 - 29140*f)*(0 + 2 - 1) + (1 - 1 + f)*(-5 + f + 5) to the form b + q*f**2 + h*f and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 80681.91cm in millimeters?\nAnswer: 806819.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3.2. Let a = -108.1 - -108. What is the closest to z in a, 5, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 10*q**3 + 18*q - 124*q - 6*q + 2*q**3 - 116*q.\nAnswer: -8*q**3 - 228*q + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 - w**2 + 4*w. Let l(o) = -o**3. Suppose -2*g + 5*g - 44 = f, 3*f + 20 = 2*g. Let a be (-3)\/45*-33 - g\/(-20). Determine a*l(v) + s(v).\nAnswer: -v**3 - v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63334567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, d: 1}. Give prob of picking 1 d and 1 l.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**5 + 8*m - 4. Let o(g) = 4*g**5 - 36*g - 10*g**5 + 12*g + 11. Let p(i) = -11*k(i) - 4*o(i). What is the second derivative of p(l) wrt l?\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -16. Let p(a) = -a + 10. Calculate p(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2054 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -23 + 165\/(-40)*(-11492)\/1989. Factor t + 7\/6*h**2 + 1\/6*h**3 + 11\/6*h.\nAnswer: (h + 1)**2*(h + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, o: 3}. What is prob of sequence oov?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p - 1. Let q be m(1). Suppose q*h - 6 = 3*h. Let n(t) = -8*t - 268. Let v be n(-34). Put h, -9, v in descending order.\nAnswer: v, h, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**3 - 4*s + 3 + 6*s**3 - 2*s**2 - 7 + 0*s**2. Let y be d(7). Round y to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b - 20. Let j be s(8). Let r = 25 - j. Solve 2*x - 25 = x + 4*p, r = -x - 2*p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 4*f = -32, 33*f + 21 = 2*p + 36*f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -76*j - 3. Let x(n) be the second derivative of -n**6\/360 + n**4\/12 - 11*n**3\/6 + 56*n. Let t(h) be the third derivative of x(h). Give m(t(c)).\nAnswer: 152*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2962311351 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 45 = -28. Suppose 8*f = b - 553. Let o = -55 - f. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40*w**4 - 3*w**2 + 334 wrt w?\nAnswer: -160*w**3 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 = 1685\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**4\/12 + 2*g**3 - 5*g**2. Suppose -2*p + 35 = 41. Let l be j(p). Solve 3*d = 4*t - l + 4, 0 = -5*d - 5*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732 is divided by 171?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + h + 75 = 0, 2*a + 61 = 3*h - 34. Let z = 100 + a. Let b be 2\/(-15) + 608\/z. Put b, 4, -2 in descending order.\nAnswer: b, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*s + 57, -s = 3*s + 4*z - 60. What is the remainder when s is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 9:18 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -305?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56158717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -3, -6, -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255739701.\nAnswer: 3, 7, 12178081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 31\/2, 0.4, 3\/5 in ascending order.\nAnswer: 0.4, 3\/5, 31\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 1232. Let t(d) = -2*d**2 + 15. Determine r(t(p)).\nAnswer: -2*p**2 - 1217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9550 less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 236*q**5 - 64*q**2 + 5*q wrt q?\nAnswer: 14160*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -126*u - 177*u - 2398 - 1844 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 3:51 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 20 (b) 4 (c) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -779*g + 129146 = 578*g + 726*g for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/96*16*-2*(1 + -29). Solve -15*o + m = 13*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 8*q**2 + 9*q + 21. Let s(u) = 2*u**3 - 82*u**2 + 350*u + 351. Let j be s(36). Determine x(j).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1440 (base 5) to base 3\nAnswer: 100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-1\/7)*t**(4\/7)*t**(-3\/7)*t*t\/(t**(3\/2)*t*t) assuming t is positive.\nAnswer: t**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 10:56 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 10:18 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2729 - 2705. Sort -0.05, 4, t.\nAnswer: -0.05, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 30*c. Let t be g(2). Let q = 21 - 19. Suppose -m = q*m - t. What is the remainder when m is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/20)\/((-39)\/(-1612)). Suppose y*h = -5*h + 5688. Which is smaller: h or 159?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, v: 1, p: 2}. Give prob of sequence vvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1598*w - 3*b - 80 = 1597*w, -2*w + 132 = -5*b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**3 + 4*k**2 - 4*k. Let d = 53 + -58. Let v(s) = s**3 - s**2 + s. Determine d*r(p) - 20*v(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010 + -1101?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**5 + k**5 - 5*k**5 + (14*k**2 - 545 + 545)*(k**3 + 0*k**3 - 2*k**3).\nAnswer: -15*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212 - 11143?\nAnswer: -11410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 6*p**2 + 69*p - 13. Let m be r(7). Is -167 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 7:03 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -2) + (12 - (-2 + 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -221539 and 66113.\nAnswer: -155426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from {f: 1, h: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 498222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2423604070?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 8, -5, 2, 450, 4, -3 in descending order.\nAnswer: 450, 8, 4, 2, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11729304, 23458600, 35187896, 46917192?\n\"Answer: 11729296*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -0.31, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106 - 116.6. Let q = 11 + v. Let l = -543 - -14659\/27. Which is the second biggest value? (a) -3 (b) l (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 2, 3\/17, 16\/3, 10, 0, 0.11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 - 4*s**2 + 4*s. Determine z(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + h + 4. Let s(y) = -y**2 - y - 1. Let f(u) = -a(u) - 3*s(u). Let p be f(-6). Let z = 35 - p. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 12\/5 (c) -4662 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 134.5 from -0.22536.\nAnswer: -134.72536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.01, 0, -12, 156.\nAnswer: -12, -0.3, 0, 0.01, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*q = 31*q. Suppose q = 5*z - 2 + 7, 2*r - 1279 = -5*z. List the prime factors of r.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 7:03 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b77db + -10?\nAnswer: b77cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-2)\/(-6)*-3)\/((-1)\/2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*a - 9 - 23, 5*a = z + 40. Let p be -4*(a + 119\/(-14)). Solve -30 + 8 = p*j + 4*v, 2*v - 14 = 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38320\/17244)\/(6\/27)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29841 or -29833?\nAnswer: -29841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 5) to base 13.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/3115449 and 19\/3564.\nAnswer: 411239268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + 3*z**3 - 2*z**4 + (4*z**2 - 5*z**2 + 0*z**2)*(-z**2 + 0*z**2 + 0*z**2) - 3*z**4 + 2*z**4 - z**4)*(4*z - 24 + 24).\nAnswer: -12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 times 80854?\nAnswer: 169793.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*q - 5*m = -35, 3 = -5*q - 3*m. Is 8 a factor of q\/(-2)*64\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 8:00 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 4:29 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 250567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1147 - 779. Let w = -14 + 41. Calculate the remainder when w is divided by k\/26 + 12\/(-78).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626.5 plus -3424653381?\nAnswer: -3424651754.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0)*7 - 42\/7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 20 = t. Calculate the lowest common multiple of (2\/4)\/(2\/t) and (-12)\/2*(-2)\/4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from ocos?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**4\/2 - 83*w**3\/2 + 2973*w**2\/2 + 245731*w\/2 - 917462 = 0?\nAnswer: -71, 7, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - -353?\nAnswer: 35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((1*sqrt(420) + sqrt(420))\/sqrt(10) + sqrt(42))\/sqrt(7))\/((-2*sqrt(432) + sqrt(432))*-6).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 8*k = 107910. Find the common denominator of 58\/5 and ((-6)\/200)\/(5 - (-30107)\/k).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by (1 - 11\/5)*1710\/(-36)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwfw when four letters picked without replacement from {z: 1, p: 1, y: 2, f: 7, l: 1, w: 2}?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.07 + -0.07. Let s = -8.4 + g. Put -1\/2, -2\/13, s in ascending order.\nAnswer: -1\/2, s, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/60*8*-2*(-9)\/(-4)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -6. Suppose -4*g + 3*h + 19 = 0, -m*g = 2*g - 5*h - 25. Solve g*o - 9*o**2 + 2*o**2 - 2*o = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 2*y, -3*y = -7*y + 5*f - 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**4\/4 - 10339*a**3\/4 - 2492723*a**2\/4 + 10339*a\/4 + 623181 = 0.\nAnswer: -10092, -247, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 12*z = -12. Let u be 1 + (-4)\/12*-9. Is (z\/(48\/(-7026)))\/((-2)\/u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51862*m**2 - 4*m**3 - 3 + 6*m**3 - 51855*m**2 + 0*m**3 in the form w*m**3 + u*m**2 + h + d*m and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**3 + 4*t**2 + t + 1. Let r be m(3). Let k = 41 + r. Is 0 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 11*a**3 - 2*a**2 + 2*a - 2. Let p be 7*((-2)\/5)\/(196\/420). Let h(z) = -10*z**3 + 3*z**2 - 3*z + 3. Determine p*r(d) - 4*h(d).\nAnswer: -26*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -16791.57 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510379909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 37044788 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 27. Let q be r(23). Let m(v) = 2*v**2 + 6*v + 6 - 2*v + 1 + 2. Let f be m(q). Solve z = 6*z + f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (380\/(-190))\/((-2)\/5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-274)\/(71240\/78))\/((11*1\/2)\/1).\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5949 is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -47. Let u = 21 + f. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 0*k - 2*k + 64 - 22. Let n be m(20). Let u(f) = 4*f**2 - f**n - 6*f**2 + f**2. Let q(o) = -23*o**2. Give u(q(c)).\nAnswer: -1058*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, d: 3, j: 5, l: 1}. Give prob of sequence jl.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12959, -12956, -12951, -12944, -12935, -12924?\n\"Answer: f**2 - 12960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*v = -140, -3*j - 4*v = 44 + 44. Let t be (47 - 1)\/((-6)\/j). Let h be t\/6 - (-16)\/(-24). Solve -4*d - h = -2*o - 0*o, -4*d = 3*o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 160\/(-72) - (-316)\/36?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/6*-4)\/((-93)\/(-8928)). Find the common denominator of 7\/210*(-4)\/(c\/110) and ((-2)\/(-40))\/((-12)\/(-1130)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2445265090.\nAnswer: 2, 5, 43, 317, 17939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -7. Let n be (1\/(-284))\/(8 - 260\/32). Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.553 - 0.553. Which is the second biggest value? (a) -2 (b) u (c) -0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + r - 4, r - 20 = -2*h + 5*r. Suppose 0 = -4*b - 4, -7*b = -4*i - h*b + 16646717. Let u = i - 1861678. Round u to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 1999.\nAnswer: -3998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 121*h - 122*h. Solve -3*c + 2*j - 9 = h, 3 - 11 = 4*c - 4*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 18*y = 184, -3*y = -2*l - 568 + 596 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -47 (b) -7 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*t + 681 = -254 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(80) + sqrt(500) + -2 + 3)**2.\nAnswer: 36*sqrt(5) + 1621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96540 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36192909*z**2 - 55651242.\nAnswer: 72385818*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/8)\/(45\/30*232\/(-24))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(81) + (-5 + 1*sqrt(2) + sqrt(2))**2 + sqrt(2).\nAnswer: -56*sqrt(2)\/3 + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6282019400 to the power of 1\/2, to the nearest integer?\nAnswer: 79259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -6. Let f = 2 + u. What is the nearest to -1 in -5, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((3 - 3) + 1)*3. Suppose -c = -5*q + 7, -v*c - 8 = c. Is 1 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-15)\/(-5))*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*q = 0. Let o(v) be the third derivative of v**2 + 1\/12*v**4 + 0 + q*v**3 + 0*v. Let m(x) = -x. Determine m(o(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7040, 7042, 7044?\n\"Answer: 2*h + 7038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534 is divided by 125.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/(s*s**0)*(s\/(s\/(s**(-3)*s)*s)*s)**(-5\/11))**(-11) assuming s is positive.\nAnswer: s**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*f + 92*f = -10. Let x be f*(1 + (-79)\/(-2)). Calculate the highest common factor of x and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -0.1, 331?\nAnswer: 331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 6 = 3*m. Suppose -3*p + 4*h + 35 = 0, -m*p - h + 20 = -7. Let j(s) = -s**2 + 19*s + 18. List the prime factors of j(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-56)\/(-10))\/(34\/85). Suppose -b*m + 800 = v - 15*m, 5*v - m = 3988. List the prime factors of v.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -30*i + 26*i - s, -2*i + 9*s - 10 = 0 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(-3))\/r*r)\/(r**(1\/10)*r)*r**(-1\/6)*r**(1\/6)*r)**(1\/4) assuming r is positive.\nAnswer: r**(-11\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3324367, 3, 0 in decreasing order.\nAnswer: 3324367, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537259?\nAnswer: 83, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 9*b + 16. Suppose 0 = t + n, -n - 6 = -t - 0. Let w be t + -6 + 0 + -8. Is c(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-96 - -101)*(-3)\/5. Let m be 2*(1 + 7\/(-2)). Put 8, m, s in decreasing order.\nAnswer: 8, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajgaalluagaal. Give prob of sequence gg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Let o = 517 + -498. Which is the closest to 1? (a) o (b) -2\/11 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 13.5. Sort 4, -2, f, 1\/5 in increasing order.\nAnswer: -2, 1\/5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79836 + -8542522\/107. Sort s, 3\/2, 4\/7 in increasing order.\nAnswer: s, 4\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 + 24*g**2 - 369*g\/2 - 209.\nAnswer: -(g - 38)*(g - 11)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 356 and 4?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13655 by 17.\nAnswer: -13655\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by (-9)\/(-30)*5*(-8)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/12 and -125\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + -3 + 72\/1?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 756 - 750. Let u be 2 + s + 207\/(-27). Find z such that -z**2 - u - 1\/3*z**3 - z = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*m**3*q*y - 4*m**3*y - 6*m**3 - 4*m**2*y - 42491*m*q**4*y - 1455*y wrt q?\nAnswer: -14*m**3*y - 169964*m*q**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16510319191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 193 = -479. Let n = 276 - p. What is the highest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/(-121)*(-44)\/(-5) + 128\/(-22).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -5 - (-35 + 30)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 400\/3 - 134. What is the common denominator of -76\/9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*p + 56*p = -4*m, 4*m = 3*p + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -552194, -2208912, -4970108, -8835782, -13805934, -19880564, -27059672?\n\"Answer: -552239*z**2 - z + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*r + 3*r - 14, -r - 28 = 3*b. Calculate the remainder when (-2)\/11 - 310\/b is divided by (-2)\/(-3) + 86\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1157 - 879. Calculate the remainder when 852 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*m - 35, 3*t - t + m = 11. Let d = t - 9. Let c(r) = -2*r + 4. What is the remainder when 26 is divided by c(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -0.177?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18925, 37881, 56837, 75793, 94749?\n\"Answer: 18956*t - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -3 (c) 1\/8 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1449 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 q, and 1 c when three letters picked without replacement from {c: 1, q: 1, m: 5, g: 1, n: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 402848.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 3, v: 1}. Give prob of picking 2 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:34 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -7. Let k be (-14)\/35 + s\/10. Sort k, 5, -2.\nAnswer: -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2788738 (base 9) to base 4.\nAnswer: 11312302223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -39. Let f be (-10)\/(-3) + 2\/3. Let d = f - 1. Solve 0 = 4*p + d*z - 24, -5*p + g*z - 5 = -0*z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (132 - -1)*6\/12*-6. Let t be (o\/(-15) - -1) + 18\/45. What is the greatest common factor of t and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -245f6 + -1eb?\nAnswer: -247e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-170)\/(-1224)*3\/(((-2025)\/(-10))\/(-9))\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/6)\/((-3)\/(-18)). Let o(k) = -k**3 + 118*k + 116*k + 2 - 3*k**2 - 228*k. Determine o(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51094048*k**3 + 85358781*k?\nAnswer: 306564288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 16*l = 5*f - 9, -3*l - 7 = -5*f. Suppose f*p - 2 = 8. Solve 2*a - 9 = p*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74684 + 71*s + 149368 - 74684.\nAnswer: 71*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.0753.\nAnswer: 0.3765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**2 + 29 + 27*m**2 - 29.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of ((-2)\/(-10))\/(6\/(-8) + (-12853360)\/(-17137600))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + m - 9*m)*(-30*m + 17849 - 17827 - 12*m) + 0*m**2 + 0*m**2 - m**2.\nAnswer: 251*m**2 - 132*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31331531*a*b*k + 33*a*b - 33*a - 1874 wrt k?\nAnswer: 31331531*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*(sqrt(320) - (4 + sqrt(320) + 1)**2 - ((sqrt(320) + -5*sqrt(320))**2 + 0)) + 5.\nAnswer: 216*sqrt(5) + 16402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3654 - -3658. Solve -4*d + 4*p - 32 + 12 = 0, 16 = -5*d - x*p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-272)\/(-380) - (-760)\/950*11\/(-22).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -2*g - 12, 5723*y + 30 = -5*g + 5726*y for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -343?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 376231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(57)\/((sqrt(90)\/sqrt(3))\/sqrt(10))*2 + (1*sqrt(2052))\/(sqrt(3) + sqrt(36)\/sqrt(48) + sqrt(3))) + -5.\nAnswer: -5 + 22*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 9 - 3 = 0. What is the units digit of -177*(10\/(-6) + y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2. Let k(w) be the first derivative of 11*w + 3 + 5\/2*w**3 + 0*w**2. Let i(o) be the first derivative of k(o). Calculate z(i(s)).\nAnswer: -675*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2765014 - 2765013 - 21*p**2 + 8295031 - 2765004.\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-4)\/(-6) + 0. Let n be 1\/v + 68\/(-8). Let g(c) = -c**2 - 7*c + 10. What is the units digit of g(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 2*l**4\/3 + 20*l**3\/3 + 5*l**2\/2 - 13*l. Is k(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203 * 1802657\nAnswer: -365939371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 11:21 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 + -13)*(-7)\/(-3). Do -5 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53778, 53811, 53844, 53877?\nAnswer: 53910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*h**3 + 14*h + 3*h**3 + 27*h + 2*h**3 + 61*h to the form w + i*h + a*h**2 + c*h**3 and give i.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooy when three letters picked without replacement from onynodnnnndyldoooo.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/24 and 107\/38865768.\nAnswer: 38865768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -343, -365, -391, -415, -431, -433, -415?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*y**2 - 60*y**2 - 90*y**2 + 39*y**2 + 38*y**2 + 31*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 135324?\nAnswer: 1488564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -4*p + 5*g, -p = -2*g - 67 + 58 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + b + 42 = 0, b + 226324 - 226318 = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4431*k**2*l**2 + 143*k**2*l - 12*k*l**2 - 9*k - 5*l**2 + 5*l - 29 wrt k?\nAnswer: -8862*l**2 + 286*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 3*v + 8 = 0, -5*x + 11*v + 31 = 9*v for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5))**46\/(i**1\/i**(-2)) assuming i is positive.\nAnswer: i**(77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -347 - -350. What is the smallest common multiple of a and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmmmvmv. Give prob of sequence bvvm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*n + 2*n - 8, -s = 2*n - 17. Let x(f) = -6*f - 10 + 11*f - 12*f. Calculate the remainder when x(-4) is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 7 = -7. Let z(n) be the second derivative of 1\/20*n**5 - 1\/2*n**3 + 0 + t*n**2 + 0*n**4 + 3*n. What is the second derivative of z(s) wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -8*s + 17. What is k(-10)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -50. Differentiate g - 18 + 3*z**4 - 27 with respect to z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10 + 19)\/(45\/15). Sort 16, 0, w, -5, -2 in decreasing order.\nAnswer: 16, w, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + c**2 + 2*c + 14. Calculate the least common multiple of u(0) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 - -111. Suppose -1460 + 755 = 14*l - 1069. What is the remainder when q is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.44 + -0.06. Let c = f + 0.6. Sort c, -1\/3, 0 in increasing order.\nAnswer: -1\/3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1837702 is divided by 57?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 200 + -5b889?\nAnswer: -5b689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 51 = 48. Which is the closest to -0.1? (a) 1\/4 (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 9*j**2 + j - 6. Let o be z(9). Suppose 3*g - 75 = i, -8*g - i = -o*g - 125. Is 90\/g - 4 - 67\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 z when three letters picked without replacement from {z: 2, y: 1, x: 3, b: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-74)\/(-2)*(0 - 1). Let p = -13 - l. Calculate the remainder when p is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/7)\/c**7)\/((c\/((c\/c**0)\/c))\/c*c*c*c*c*c**(-4\/7)))\/(((c*c**(-4\/11))\/c)\/(c*c**(1\/3)))**45 assuming c is positive.\nAnswer: c**(5055\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/270 and 127\/162?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 110*q**4 + 8*q**3 - 18*q - 3. Let z(s) = -37*s**4 - 3*s**3 + 6*s + 1. Let c(o) = -3*i(o) - 8*z(o). Find the second derivative of c(r) wrt r.\nAnswer: -408*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 37 + -22 + (-624)\/42. Put -18, f, 0.4, -2 in descending order.\nAnswer: 0.4, f, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, -3, 3, -5, 5 in descending order.\nAnswer: 5, 3, -3, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (567\/27)\/((-252)\/(-18)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((102676\/931)\/193)\/(6\/5).\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g - 28. Let d be x(5). Let v be (2 + -9 + 5)\/(5*2). What is the smallest value in -0.18, v, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1450*r + 58695 = -2095*r for r.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000694418356 to seven decimal places.\nAnswer: 0.0006944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 34, 1, -59, -1 in descending order.\nAnswer: 34, 1, -1, -24, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*c**3 + 2*c**2 - 60 wrt c?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - (-7 + (42 - 20)) - 75?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 146?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 5238*k + 34.\nAnswer: -5238*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2449 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 91 - 449 = 0. Find the common denominator of (-40)\/z + -179*2\/153 and 59\/5.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/314646 and -161\/2550?\nAnswer: 133724550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -20*w**2 + 359*w - 599. Determine c(16).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/12)\/f)**(5\/6)\/(f\/(((f*f*((f*f\/(f\/f**14*f))\/f)\/f)\/f)\/f*f)*(f\/f**15)\/f*f*f) assuming f is positive.\nAnswer: f**(1745\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68 and -266758?\nAnswer: -18139544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 9, -2 in decreasing order.\nAnswer: 9, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-1 + -24) - (30 - -1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14296317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -254 and -483806?\nAnswer: 122886724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(140)\/sqrt(7) + 1 + 3*(sqrt(5) + (sqrt(25)\/sqrt(5))**2)*-3*-5)*1.\nAnswer: 57*sqrt(5) + 226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 527 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116674.\nAnswer: 2, 58337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101 (base 2) in base 5?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 45*a - 6130. Give v(66).\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32431 (base 5) in base 10?\nAnswer: 2241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7591 + -586. List the prime factors of i.\nAnswer: 3, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = g - 10, -2*g - k = 5*g - 8*g + 35 - 29 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1162*m - 24807 - 113193 = -294*m + 236*m for m.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 5*v**2 + 2*v - 4. What is the units digit of u(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 236 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*f - 24*f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -2\/5 (c) -3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8367 + 37898.\nAnswer: 37897.1633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -216\/103?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103.861 - -0.139. Let t = f - 103.914. Let u = 0.564 + t. What is the third biggest value in u, -1\/4, -1\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -110 + 125 - 23*j + 15*j as l + r*j and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -228 - -516. 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: Suppose -22*r + 17*r = 320. Let b = 67 + r. Suppose 0*a - 5*k - 482 = -4*a, -5*k + 344 = b*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjoajaaxcoa. Give prob of picking 1 c, 1 j, and 1 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 8 = 0, a = 4*v - 129 - 163. Suppose 54 = 16*i - v. What is the nearest to i in -5, -0.2, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25300000 rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 875 = f. Calculate the remainder when (-1 - -3)*f\/10 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-311)\/933)\/(25\/(-1950))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -5. Suppose 3*v = -14 + 68. Suppose -v = -5*y + 142. Calculate the greatest common divisor of y and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/5)\/a)\/a*a**2)\/((a*a**(2\/11))\/a**(2\/25)) assuming a is positive.\nAnswer: a**(-83\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 498*w - 499*w + 3. Suppose 3 + 0 = 3*z. Let c(g) = -g - 1 + z. Give c(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1162 and 124666?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, o: 3, u: 1, x: 2}. What is prob of sequence uk?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 297 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(18) - -6*(-1 + sqrt(18))) + 2)**2.\nAnswer: -2016*sqrt(2) + 8194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a = -10 - 118 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -108*q + 44*q. Solve 70 - q = -34*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3312e (base 15) in base 4?\nAnswer: 213213131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008187918 to five decimal places.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 772 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/1)\/(2 + 0). Suppose j - 8 = -4*y. Suppose 5*c - 25 = -3*m, 4 = y*m - 2*c + 14. Solve g - 4*g - 9 = 3*f, 2*f + g + 6 = m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -3\/7, -0.16 in decreasing order.\nAnswer: 1\/3, -0.16, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 82*n**3 - 80*n**3 + 2.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2614584?\nAnswer: 2, 3, 7, 79, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c - 20. Let m be k(6). Suppose -m*g - 950 = -33*g. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 2*d**2 - 4*d - 3. Let c be w(-3). Put 0.1, c, -1\/3 in ascending order.\nAnswer: -1\/3, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -3*r - 15. Suppose 1 = -33*i + 1 + 66. Solve -r*l - i = -7*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361 - 695 + 8*t**2 + 335.\nAnswer: 8*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -23997, 2 in descending order.\nAnswer: 2, 1, -23997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -31*q**7\/14 + q**4\/12 - 103*q**3\/2 - 761*q**2. Find the second derivative of l(j) wrt j.\nAnswer: -5580*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/981?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1379 and 277.\nAnswer: -381983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 397*t**4 - 804*t**4 + 179*t**6 + 925*t**2 + 407*t**4 wrt t?\nAnswer: 21480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2983797329 to the power of 1\/4, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q + 5. Suppose -u - 10 = 6*w - 3*w, 0 = -2*u - 3*w - 20. Let m be ((u - -5) + 8)*21\/(-9). Determine f(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 - 25*t**3 + 12*t**3.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 406 + 196. Let c be ((1062\/3)\/(-3))\/((-7)\/7). Suppose 4*a + c = q. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 18. Let z be 14*((-33)\/(-6))\/(-11). Do m and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (6 + -18 - -2)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**10\/181440 + t**8\/40320 - 7*t**4\/24 - 5*t**2. Let j(w) be the second derivative of c(w). Suppose j(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*p = p + 6, -y + p - 3 = 0. Let h = -0.62 + 0.7. Let k = h - 0.1. Which is smaller: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 3:03 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8955996 nanometers to kilometers.\nAnswer: 0.0000000000008955996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -24, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -17233, 1916.\nAnswer: -17233, 2\/9, 1916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-28)*-14*(-108)\/(-63)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010968688 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2. Let n(f) = 2*f - 41802826. Calculate n(u(b)).\nAnswer: -2*b**2 - 41802826","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -143 + 45. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2665679, -2665680, -2665681, -2665682?\nAnswer: -2665683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-194)\/(0\/(-2) + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8, -35, -106, -211, -356, -547, -790?\n\"Answer: -w**3 - 8*w**2 - 12*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6873834.8 * -0.8.\nAnswer: 5499067.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50\/20*(-16)\/(-10) + 0. Let z = 12 + -10. Solve i*d - 3*x = 16, -4*x + 5 - 13 = -z*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/6*(-18)\/(-4). Suppose -p = 2*p - k. What is the remainder when p is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*7*51\/(-833). What is the closest to 2\/5 in 2, f, -1.35?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.34850128 - 6.00203183. Let q = -90.65357315 - c. Let a = -86 - q. Round a to six decimal places.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.3, 530 in ascending order.\nAnswer: -0.3, 0.3, 530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1350802?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7091*j - 21261. Give z(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 1751*m**5\/5 + 185604*m**4\/5 + 4314252*m**3\/5 - 32951744*m**2\/5 + 37632*m\/5 = 0. Calculate m.\nAnswer: -56, 0, 2\/1751, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + n - 2. Suppose -r = 144 - 32. Let l be 2\/(-10) + r\/40. What is t(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29666.\nAnswer: 2, 7, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3) - 161\/(-84)*4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (84 - 84 - (0 - 2)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57461*m + 57380*m + 81 = 0. Let r be (0 + 1)\/(-2)*-52. Suppose 6 = 5*u + 5*w + r, 3*u + 9 = -2*w. Which is the nearest to u? (a) m (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5097127 is divided by 5097125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1236462 (base 7) to base 13.\nAnswer: -58236","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**2 - 19506*i + 19509 = 0.\nAnswer: -6503, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77804.\nAnswer: 2, 53, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5519.2 + 5519.1. Let w = 11.22 - 11. Which is the smallest value? (a) -4\/3 (b) j (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-39)\/156 + 102\/56. Factor 2\/7*p + 9\/7*p**2 + 0 - j*p**3.\nAnswer: -p*(p - 1)*(11*p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 66875 and 1029449533.\nAnswer: 1029516408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -10*x - 1621. Let k = 99 - x. What is the remainder when k is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 5:01 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -268218\/1411 >= -191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 508504, 1016898, 1525292, 2033686, 2542080, 3050474?\n\"Answer: 508394*d + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 68 - 202 + 64 + 53 + 11*h as z*h + s and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 194535.324 microseconds in days?\nAnswer: 0.00000225156625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-1)\/(1\/(-117)) + -3. Suppose -117 = -4*t + k. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -76, -4 in ascending order.\nAnswer: -76, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0122756263 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 109546013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-25)*u**(1\/20)\/u*u)\/((u*u**(2\/19)\/u)\/u**(-28)) assuming u is positive.\nAnswer: u**(-20161\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 70 = -7*q. Suppose -q*l - 105 = -21*l. Calculate the highest common factor of 90 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12185202 divided by -9?\nAnswer: -4061734\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 613 + -586. Calculate the common denominator of v\/(-9) + (3 - 66\/8) and -73\/166.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18780, -1887, 15006, 31899?\n\"Answer: 16893*b - 35673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -0.2 (c) 1\/17 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q, 5*x - 2*q + q = 1080. Suppose -5*s - 2*i = -x, s - 6*s + 4*i = -198. Suppose 0 = -5*g - s + 117. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33845*n**2 + 824303.\nAnswer: 67690*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 9 = 2*q + q, -15 = -4*u - q. Solve -4*f = h - f - u, 5*f = h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 308992*b**4 - 193645 wrt b.\nAnswer: 1235968*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1298 - 711 = -41*k. Suppose -4*d - 2*f + 314 = f, d - 79 = -f. What is the least common multiple of k and d?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 6*x - 4*x - 58, -2*x + 90 = 5*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1499 or -14979\/10?\nAnswer: -14979\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 139*h. Let t(o) be the second derivative of 2*o**3\/3 + o + 5418. Give r(t(m)).\nAnswer: 556*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 8*u - 17. Give x(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1092 = 5*s + 1082 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/(a\/(a\/(a\/(a**(-2\/3)\/a))))*a))**(16\/7)*a**2\/(a**(-7)*a))\/((a\/(a\/(a*a*a**(-1\/4)\/a)))**(-1\/5)*(a*a*a**(-1\/4))**(-21)) assuming a is positive.\nAnswer: a**(9749\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*z = 115*z + 19 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 221 + -204. Calculate the greatest common divisor of z and 1513.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 5. Let a(l) = -2*l**3 + 7*l**2 - 6. Let o be a(-5). Suppose -3143 = -5*x + 3*d, -2*x + 5*d - o + 1661 = n. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3839.\nAnswer: 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 2. Let b(a) = -27*a + 1. Calculate 2*b(n) + 2*z(n).\nAnswer: -52*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d**2 - 22*d. Let b be s(-3). Solve -4*m - 20 = -l, -l = b*m - 4*l + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5580?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 753 by -735.\nAnswer: -251\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-1)\/((-8)\/36)*(-12)\/144).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d + 11*d + 10 = 9*v - 15*v, 2*v + 3*d - 25 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*c - 7. Solve -4*q - c - 5 = 2*i, 3*i = -3*q - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 10. Suppose d*n = g + 1, -4*n + n = -g. Solve -8 = -o + g*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 - 9*r**2 + 2*r + 40. Let g(a) = a**3 - 4*a**2 + a + 19. Determine 5*g(c) - 2*q(c).\nAnswer: c**3 - 2*c**2 + c + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4212 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 x when four letters picked without replacement from {x: 6, j: 13}?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1471402 (base 8) in base 2?\nAnswer: 1100111001100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1717*h - 1778*h + 3*f - 6 + 21 = -2*f, -3*h + 12 = -4*f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1*2)*34\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -5 (c) 7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**4 + 1134*o**3 + 18504*o**2 + 33618*o + 16245 = 0.\nAnswer: -361, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**2. Let t(w) = -185010*w. Calculate i(t(h)).\nAnswer: 136914800400*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77*h**4*m + h**4 + h**3 + 139*h*m + h wrt h?\nAnswer: 924*h**2*m + 12*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2294 - 2593 + 4887 - 226*i.\nAnswer: -226*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 29 - 13)*(-3*h**2 + 2*h**2 + 3*h**2 + (4*h**2 - h**2 - 5*h**2)*(5 - 4 - 3) - 3*h**2 + 5*h**2 - h**2).\nAnswer: -224*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 54. Suppose -1 = -4*j + d. Suppose h = o + 5, -3*h - j = o - 1. Let k(x) = -x**2 - 3*x + 2. Give k(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.69 + -0.89. Let r = o + -10. Which is the nearest to r? (a) 0.3 (b) 1\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 2:45 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 216274 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45508968 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12305436 (base 7) to base 11.\nAnswer: -699952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -26. Let v be 9\/(1 - t) + 2. Suppose -n + z = -7, 2*n + 0*z - v*z = 26. Solve -5*u + n*u + 14 = -3*d, -14 = 5*d - u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h = -436. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 1:54 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/12 and -3 + 0 + 1561\/280?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3330432 by 63.\nAnswer: 52864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2097000 rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -3. Suppose -v = 2*v - 2*g - 40, -g + 34 = 3*v. Suppose l - 109 = -4*a - 0*a, -f*a = -v. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5933 divided by 2720?\nAnswer: 349\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 - 29. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -16*n + 2. Give q(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-32))\/(18\/1296*-6).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 0*w**2 - 1\/15*w**6 + 0 + 0*w**3 - 3*w + 1\/6*w**4 + 0*w**5. What is the third derivative of s(a) wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -2\/7, 1, -0.04, -3.9 in ascending order.\nAnswer: -56, -3.9, -2\/7, -0.04, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2214 - -2?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 + -13) - (14 + 1 + -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7 + (-380)\/45)*-12*42.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 731996 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3081040*r**2. Let z(k) = 147*k. Give z(x(u)).\nAnswer: -452912880*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -29, -47, -77, -119, -173?\n\"Answer: -6*q**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-7))\/((-22)\/154) + 4. Let k(q) = -6*q - 7. Let d(m) = 4*m + 5. Determine n*k(a) + 7*d(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12768, -50900, -114404, -203274, -317504, -457088?\n\"Answer: z**3 - 12692*z**2 - 63*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 17*y - 101. Let q be x(7). Suppose q*u - 56*u + 570 = 0. Solve -h - d = -8, -u - 1 = -5*h + d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -109\/17 (b) 2\/11 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -36. Let a be 38\/z + 11\/(-33). Do a and 2 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 14886 and 7362?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 times 75?\nAnswer: 13275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from arqfrartrrrrfa.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y + 15*y - 60. Suppose -2*b + 2*i + y = 3*b, -4*b - 2*i = -26. Solve 8*u**4 + b*u**2 - 4*u**3 - 2*u**2 - 9*u**4 + 5*u**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 1:55 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2847)\/(-936) + -2 - (3 + 0)\/3?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13901?\nAnswer: 13901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2*334\/16)\/(1\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 1 = -4*w, f - 3 = 2*w - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2\/3*p**4 - 2\/3*p**5 + 0 + 0*p**2 + 0*p**3 + 0*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9381.\nAnswer: 3, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -106*z**2 + 11. Let b(t) = 21*t**2 - 2. Determine -22*b(l) - 4*f(l).\nAnswer: -38*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, w: 5}. Give prob of picking 2 w and 1 i.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, g: 1, h: 7, y: 3}. What is prob of picking 1 y, 1 g, and 1 b?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/((sqrt(18)*-1)\/sqrt(2)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 289193822*s**3 - 745764933*s**2 wrt s.\nAnswer: 1735162932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, f: 1}. What is prob of sequence fee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22186855 divided by 22186855.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 157026 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 6844, 0.1, 49?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0089715336 rounded to four decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -120*v - 24. Let i(m) = 24*m + 5. Let z(c) = 5*a(c) + 24*i(c). Let u(p) = -2*p**2. Calculate z(u(n)).\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 19, 1, 47 in descending order.\nAnswer: 47, 19, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 168 = -72. Find the second derivative of -66*l + m*l + 154*l - 47*l**2 wrt l.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276 and 79383212.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 476\/117 + -38\/9. Suppose 5 = 7*v - 2. Which is the second biggest value? (a) q (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = r - 4*r. Let o(v) = -19*v. Let x be o(r). Let y = x - 12. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17, -1\/3, 0.5, 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2188893.\nAnswer: 3, 7, 104233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11230507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + s - 184. What is f(-13)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10010011111 (base 2) to base 11\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3893 - 2501. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128\/201 - -2\/67. What is the closest to 0.1 in -2, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q. Let d = 17 - 2. Let s = -10 + d. Solve t + a + 0*a + 7 = q, -s*t + a - 11 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyq when three letters picked without replacement from ayiiqitwwyii?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwwg when four letters picked without replacement from {f: 5, w: 2, g: 6}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25883 divided by 143?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.01 + -0.01. Let a = -3 + t. What is the closest to -10 in a, 0.5, 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 48155 + -12?\nAnswer: 48143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17 + 10 + 423*r**2 + 7 - 13094*r**2 + 4486*r**3 wrt r?\nAnswer: 26916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 352263 - -21?\nAnswer: 352284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 988 and 87628?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 66\/((12\/36)\/(8\/(-252))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -39. Let y(o) = -o**2 - 10*o + 14. Let l be y(u). Suppose 0 = l*f + 2*f - 5. Which is the second biggest value? (a) f (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7220.67041 rounded to 1 decimal place?\nAnswer: -7220.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 1:24 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*j + 10*j - 20*j**4 + 5*j**4 + 3*j wrt j.\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 4 - -2) + 2 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*d + 5*i, 0*d - 21 = -3*d + 3*i. Let l = -205.25 + 3.25. Let o = l - -197. What is the nearest to 0 in d, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*c. Solve 0*s + 2*s + 6 = c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(60)\/sqrt(3) - -1*sqrt(20)*-5)\/((sqrt(1210) + -4*sqrt(1210) + sqrt(1210))*6).\nAnswer: sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 47*r - 22. Let u be z(45). What is the highest common divisor of u and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**2 + 6. Let w(f) = 3*f**2. Determine g(w(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-29)*k\/((k\/k**(-24))\/k*k*k*k))**44)**50 assuming k is positive.\nAnswer: k**(-121000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 6, 2*k + 2 + 0 = -2*z. Suppose -3*r - 2*r + 2*y + 18 = 0, -z*r + 5*y + 3 = 0. Let q(h) = 4*h + 2. Let f(g) = 5*g + 2. What is r*q(i) - 3*f(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*d + 257*d = 5216. Let h be (27\/(-6))\/(3\/(-4)). Calculate the greatest common factor of d and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 95175 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 + 20*r**3 - 11*r**3 + 5*r**3.\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19243 + -11262. What are the prime factors of v?\nAnswer: 23, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j - 8. Let c(f) = -f**2 + 6*f - 8. Let u(r) = -58*r - 351. Let d be u(-6). Give d*p(g) + 2*c(g).\nAnswer: -2*g**2 - 3*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 9. Suppose -2*v - 18 = 4*m, 0 = w*v - v - 3*m - 3. Let a be 2 - ((-27)\/6)\/v. Sort -0.5, a, 0 in decreasing order.\nAnswer: a, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 8. Let q be (-3)\/(z - 2\/(-4)). Suppose q*n - 5 = 9. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633203644 to the power of 1\/5, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 542\/408417?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4\/26 - 270\/65?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5184.7507 to the nearest 10.\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7388 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5*(-12075)\/(-420)?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 1 - (19 + -5) - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6649682136 to the power of 1\/2, to the nearest integer?\nAnswer: 81546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 - 101. Let g = z - -1.000000488. Round g to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 50*p**3\/7 + 48340*p**2\/7 + 12559448*p\/7 + 986088048\/7 = 0.\nAnswer: -606, -902\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + y = 5739, 15*m + 3*y - 9573 = 10*m. Is 55 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 338 + -233. Is 35 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -2, -10 in increasing order.\nAnswer: -10, -2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**5\/30 - h**2\/2 - 2*h. Let j(w) be the first derivative of i(w). Let n(z) = -2*z. What is n(j(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6226269.\nAnswer: 3, 7, 296489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 2*n**5\/15 + 14*n**3\/3 - 6*n. Let k(h) be the second derivative of u(h). Let x(v) = 4*v. What is k(x(g))?\nAnswer: 64*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58688.83 days to nanoseconds.\nAnswer: 5070714912000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66 - 1) + 12 - -48?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6513*g - 12 + 6525*g - 19553*g + 12 + 6518*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28))**2*-4 - sqrt(28)\/sqrt(4)*-1)*-3 + (sqrt(3087) + -1)*-4.\nAnswer: -87*sqrt(7) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 122, 24 in descending order.\nAnswer: 122, 24, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6723352 to the nearest integer?\nAnswer: 2593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1799 + -1.0204. Let i = 1.2 + v. Round i to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (108\/(-8))\/(9\/(-21)) and -49\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22\/3 - (-2)\/3 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 226385 or 226064?\nAnswer: 226064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -983 and -959 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(833) - 5*sqrt(833)) + -1 + (sqrt(272)*-3 - sqrt(17) - sqrt(34)\/(3*sqrt(2))).\nAnswer: -124*sqrt(17)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 c, and 1 r when three letters picked without replacement from meumurcccmemecneceue.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, w: 1, q: 4, x: 4, f: 1, l: 3}. What is prob of sequence xq?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 14*u. Let v be h(6). Let m = v - 57. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 5*m**2 + 1872*m - 52580. Give z(23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (400\/(-3900))\/((-4)\/6)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31a162 + 3?\nAnswer: 31a165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 105*k - 104*k. What is the remainder when 94 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + f**2 - 5*f - 10. Let m be n(-2). What is the closest to 0.1 in -4\/7, -6\/5, m?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2004.9999995002 - 2005. Round r to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1075568 to the nearest one thousand.\nAnswer: 1076000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3937929 is divided by 391.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcwvwcvwwwwwvw. What is prob of picking 1 v and 3 w?\nAnswer: 32\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 1:28 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 812 and 1398 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.74*17.8.\nAnswer: 30.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 6, v: 4, h: 6}. Give prob of picking 1 r and 1 a.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102342 - 55313. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 1666125281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 427.1 + -428. Let z = -73.04938 - -73.9493846. Let x = o + z. Round x to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109 - -112. Solve -5*a - 6 = -m*r, a - 3*a - 2 = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/36 != 170845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/5 - 32\/(-10). Suppose -15 = 5*n - k*s - 0, -2*n - 2*s = 6. Let y = -1 - -0.6. Which is the second smallest value? (a) -4\/7 (b) n (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -333*a**4*p - 126843*a**4 + 7533*a**2*p - 2*a**2 + p - 18 wrt a.\nAnswer: -7992*a*p - 3044232*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/(-5))\/(1*4*8\/32)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmkmmmmkmkmmm. Give prob of sequence mkmk.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 51. Let u be (-15)\/(-20) - (-2)\/(-8). What is the nearest to -2\/7 in 0.2, p, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2\/4 - 90039651*f\/2 + 2702379584067267\/4 = 0.\nAnswer: 30013217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6862 and 2303?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -174 + 12*i**5 + 174 + (-2*i + 2 - 2)*(931*i + 3*i**4 - 463*i - 465*i - 3*i**3 + 1).\nAnswer: 6*i**5 + 6*i**4 - 6*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*w + 48*w**3 + 7*w - 77*w**3 wrt w?\nAnswer: -174*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**4\/24 - 2*x**3\/9 + 4*x**2\/3 + 32*x\/3 - 587. What is p in l(p) = 0?\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77569145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (1143620 - -21) - 13 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 108\/6 - (2 - (4 - 2)). Let l be ((-4)\/(-5) - 1)\/(d\/(-90)). Let g(b) = 6*b**2 + 5*b. Let v(h) = h**2 + h. Determine l*g(f) - 5*v(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 179460461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**3 - 2*u**2 + 1. Let p be d(1). Suppose 0 = p*s + 4*f + 16, -5*f - 13 = -3*s + 18. Let h(k) = 427*k**2 + k - 4. Is h(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5*t**3 + 3 - 50*t + t**2 + 51*t + t**4 to the form o + l*t + w*t**2 + r*t**3 + i*t**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 2*j + 1. Let v(l) = 4*l**2 - 7*l + 4. Let i(c) = 2*a(c) - v(c). Give i(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89 + -113. Let h = 5998.53282 - 6022.5328227. Let o = h - w. Round o to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - u + 0*u)*(-377*u + 202*u - 336*u).\nAnswer: -1533*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120 - 377. Let l = -484 - n. What is the biggest value in l, 1, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 21 = 4*h, 16 + 14 = 5*h + 5*l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/1499? (a) 5 (b) -0.5 (c) -4\/9 (d) 0.4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 8*s - 2. Let b = 9 - 16. Let k be r(b). Let y = 450 + -447. Solve 4*v - y*v = -k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(30)*-2)\/sqrt(10)*4)**2.\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a - 13?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 831, 12\/7, 5 in increasing order.\nAnswer: 12\/7, 5, 831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 5:34 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 453 - -54?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -748 + 750. Let p be (-3)\/(-11)*(132\/18 - 7). Which is the closest to u? (a) 0.5 (b) 3\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c**3*f**4 - 128*c**3*f**2 + 47*c**2*f**5 - 2*f**2 wrt f?\nAnswer: 144*c**3*f + 2820*c**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45473775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 + -139\/2. Let p = -4173\/4 + 1043. What is the biggest value in -0.1, p, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-10*(-36)\/240).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 16 - 6 - (-8 + 8) - 16\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 + -1484\/19. What is the smallest value in 50\/3, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5\/7 - 152407*m**4\/7 - 829295432*m**3 + 145196357968*m**2\/7 - 139409952000*m + 119496932352 = 0.\nAnswer: -76216, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1248, 3981, 8524, 14871, 23016?\nAnswer: 32953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7235 in -1, 1\/2, 1, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*f + z - 6, -f = -5*z - 18. Suppose 2*t = f*t. Let m = 33\/4 - 167\/20. Which is smaller: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3167 is divided by 453.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*o - 3*o - 63, 2*o = 4*c + 122. Let g = 127 + c. Calculate the remainder when g is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2. Let j(k) = 3*k**2. Determine 3*j(f) - 5*v(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*j = -42, 2*h - 54 = -2*j - 2*j. Suppose 6 = -d + h. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-404 + 41 + 29)*(5*l**4 - 2*l**4 - 2*l**4 + (10 - 10 - 14*l)*(-2*l**3 + 0*l**3 + 0*l**3))*(-4 + 4 + 2).\nAnswer: -19372*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3574*p + 17862. Calculate f(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.046\nAnswer: 0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -144 - -149. Solve 0*u - 6 = o*u + 2*k, -3*u + k = -3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 2*d**2 + 3*d - 3. Let i(n) = -n + 12. Let f be i(9). Let p be l(f). List the prime factors of ((-1)\/p)\/((-2)\/(-90)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 171\/7 (c) -1 (d) -0.3 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000100010010100011011 - 0?\nAnswer: -10000100010010100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-6))\/((-1)\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10654793461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 82*(-5 - 11\/(-2)). Which is smaller: w or 127\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71 and 17821.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3890.\nAnswer: 2, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3884626 to the nearest integer?\nAnswer: 1971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2. Let p = 609 + -607. Let m(t) = 3 + 50*t**2 + 30*t**2 - 61*t**p - 3. What is m(r(x))?\nAnswer: 19*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 - -24.7?\nAnswer: 24.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 13) + (2 - -37) + -19?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1518\/(-12) - 2\/(-4). Let g be (-6)\/8 - s\/8. Find the third derivative of 12*h**6 - 2*h + 2*h + g*h**2 + 0*h**2 wrt h.\nAnswer: 1440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 9:31 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1926939 and -25\/356.\nAnswer: 7707756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 29*l**4 - 704*l**3 - 17*l**2 + 2044*l - 1380. Let v(y) = 6*y**4 - 141*y**3 - 3*y**2 + 408*y - 276. Let g(h) = -3*a(h) + 14*v(h). Factor g(f).\nAnswer: -3*(f - 46)*(f - 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**7\/21 - 11*h**6\/15 - 9*h**5\/10 + 11*h**4\/6 + 10*h**3\/3 - 41*h - 2. Determine x so that t(x) = 0.\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145*i**2 + i + 58*i**2 + 88*i**2 + 18 to the form x*i + n*i**2 + q and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -v - 469, 3*v + 922 = 2*x + 5*v. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 9:30 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 11*h**2 + 1 - 10*h**2 - 31*h**3.\nAnswer: -33*h**3 + h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 3\/4 (c) 34 (d) 15 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 158306663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**5\/6 - 11*j**4\/6 + 5*j**3\/2 + 9*j**2\/2 = 0?\nAnswer: -1, 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18 + -2 + 14\/6. Which is smaller: u or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.7 times 3.9\nAnswer: -22.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55745045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36184*v**3*z**2 + 20214*v**3*z + 2*v*z - 1 wrt z?\nAnswer: -72368*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (6 - 0 - (12 + -1 + -10)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5\/5 - 6*a**4\/5 + 8*a**2\/5 = 0 for a.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 13*x - 101. Let k be v(8). Suppose 172 = -k*u + 442. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*k**2 + 1 + 4*k**3 - 21*k - 4*k**2 - 37*k + 56*k in the form c + g*k**3 + z*k**2 + h*k and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3622231813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1126398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*m = -151*m + 4. Let z be 30\/12 - 1\/m. Let y(d) = 2*d**2 - 1 - 3 + 0 + 7 - 2*d. Calculate y(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 4\/6)\/(8\/(-48)). Suppose -4*i = -u - 106, r*i + u = 2 + 48. Suppose -22 + 117 = 19*p. Solve i + 0 = p*o + 4*v, v + 2 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*k + 535*k + 11325 = 0 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 831.34683 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**4\/4 - 2*w**3\/3 - 2*w**2 + 2*w + 75. Calculate f(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((7540\/65)\/58)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2\/15, -4, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 142567 and 15.\nAnswer: 2138505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mslmsblbsmssbllccc. Give prob of picking 2 l.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (974*b - 483*b - 4 - 465*b)*(0*b + 3*b - b).\nAnswer: 52*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-2 + -2 + -3 + 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -291, -3, 4, 52, -38, -4 in ascending order.\nAnswer: -291, -38, -4, -3, 4, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1994214087 to the power of 1\/3, to the nearest integer?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -17*f**3 - 24*f**2 + 47*f - 7. Let h(x) = 6*x**3 + 7*x**2 - 16*x + 2. What is -7*h(r) - 2*y(r)?\nAnswer: -8*r**3 - r**2 + 18*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5156 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*o**2 - 1)*(22*o**2 - 58*o**2 - 13*o**2) + o**4 + o**3 - o**3 in the form z*o**4 + l*o + p + h*o**3 + s*o**2 and give z.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 3 + 3)*(4*b**3 - b**3 + 7*b**3) - 2*b + 2*b - 5*b**4 - 1725*b**3 + b**2 + 4 + 1725*b**3 + 8*b**4.\nAnswer: 43*b**4 + b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/30 - 7\/21\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.2 + 7. Which is the nearest to 0.1? (a) -5 (b) u (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 859 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 21, -177, -465, -849?\nAnswer: -1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 141 + -237. Let l = 97 + o. Suppose -4*a = 3*y - 4*y - l, 2*a - 3 = 3*y. Solve a = p + p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 23. Suppose w = 2*m + 52. Round m to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9370, 5, 34 in increasing order.\nAnswer: -9370, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2687, -2611, -2403, -1997, -1327?\n\"Answer: 11*w**3 - w - 2697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/9)\/(14\/(-3)). What is the nearest to -2\/3 in 5, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 10*x**2 - 6*x - 131. Calculate the smallest common multiple of c(-8) and 75.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*u + 8*u + 17*u - u + 6877*u**2 in the form t*u**2 + w + v*u and give t.\nAnswer: 6877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1755 divided by -9\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16977, 33925, 50841, 67725, 84577, 101397?\nAnswer: 118185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21202344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1030 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 920\/(-16))\/(1\/(-2)). Calculate the highest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 - 4*c + 4*c + (-c**2 + c**2 + 2*c**2)*(25*c - 27*c + 18*c) + 3*c**3 + 0*c**3 - 6*c**3.\nAnswer: 27*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 84855137 to the power of 1\/3, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 190 and -8.9?\nAnswer: -1691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31892 and -2689.\nAnswer: -85757588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 1447576.\nAnswer: 1447576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0538927739 rounded to five dps?\nAnswer: 0.05389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*z - y, -4*z - 10*y - 36 = -6*y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*f**4 - 141*f**3 - 137*f**2.\nAnswer: -192*f - 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -2*n - 14*n**2 + 4*n**2 + 11*n**2 + 4. Give v(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6109587 and 567.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 19*i**2 + 18*i - 40. Let r be s(-20). Let g(j) = 2*j + 18. Calculate the smallest common multiple of 90 and g(r).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 32. Let d(y) be the first derivative of -9\/25*y**5 + c*y**2 - 4 + 0*y + 3\/4*y**4 - 2\/5*y**3. Find v such that d(v) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -404*o - 25. Is y(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 9*w + 2. Let g = -31 + 20. Is v(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31559 + -31496. Calculate the highest common factor of k and 3199.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010015 to five decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -46*o + 228 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 2819960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -162562, -325099, -487636, -650173?\n\"Answer: -162537*q - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1134 divide 3871953414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14740.\nAnswer: 2, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/18)\/(-3 + 3\/2). Let i = 7\/9 + k. Determine l, given that -i*l**2 + 4\/9*l**3 - 2\/9*l**4 + 0 + 0*l = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**4\/24 + 2*t**3\/3 + 18*t**2. Calculate h(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-4 + sqrt(7) + sqrt(14)\/(sqrt(2)*-2) + sqrt(42)\/sqrt(54) + sqrt(21)\/(-1*sqrt(3)))*-2)**2.\nAnswer: 16*sqrt(7)\/3 + 547\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 43 = -4*h. Let k = h + -7. Suppose -48 = -5*i + 4*l, 0 = i - 0*l + 5*l + 2. What is the remainder when i is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512 a factor of 55954584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -337? (a) -2\/11 (b) 0 (c) 702\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1278 + 133?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (154\/35)\/((-3)\/(-15) - 0) and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from vwwdvogqq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513516 is divided by 335.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1478*g**2 - 198*g**2 + 207*g**2 + 0 + 709*g**2 + 1 in the form s + a*g + u*g**2 and give u.\nAnswer: 2196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u**3 - 2*u**3 + 7*u - 7 - 3*u**3 + 7*u**2 + 3*u**3. Let i(m) = -3*m**3 - 6*m**2 - 6*m + 6. Calculate -6*a(t) - 7*i(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -38933.966 to the nearest 10.\nAnswer: -38930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147, -1157, -4717, -11667, -23141, -40273?\nAnswer: -64197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**5\/20 + w**4\/6 + w**3\/6 + w**2 - 3*w - 7. Let c(j) be the first derivative of n(j). Determine c(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6075\/24268 + 2\/6067. What is the third smallest value in 1.923, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1 + (3 + 3 - 4)*(-5 + 0 + 3))*(13*g - 13*g - 21*g).\nAnswer: 126*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 + 4*y**3 + 4*y**3)*(-7 + 3 + 7 + (-7 + 2 + 3)*(-4 + 2 - 5)).\nAnswer: 68*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34639145.\nAnswer: 5, 6927829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7910 minus 0.11?\nAnswer: -7910.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*s - 23 + 52 - 23 + 5*s to the form v*s + f and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 422 (b) 4 (c) -0.3 (d) 1\/8 (e) 18 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33.7 + -30.76. Let h = k - -1.06. What is the biggest value in 3\/7, -0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1648, 1660, 1686, 1732, 1804, 1908?\nAnswer: 2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 709116, -1 in decreasing order.\nAnswer: 709116, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*f + 3, -f - 2*g - 9 = -6*f. Suppose -2376 = -f*j + 4*x + 331, 1823 = 2*j + x. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188427 is divided by 2026.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**3\/17 + 12420*s**2\/17 - 19793106*s\/17 + 1576170792\/17 = 0.\nAnswer: 84, 3063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -438 - -437.99474. Round c to 4 dps.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132.7597 - 0.0597. Round d to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (sqrt(224) + (sqrt(224) - sqrt(224)*1)*4)\/sqrt(8))**2.\nAnswer: -53 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130*i**2*x**3 + i**2*x**2 + i**2*x + 3*i*x**3 - 6*i*x**2 + 2*x**3 wrt x?\nAnswer: -780*i**2 + 18*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/372126 and -23\/234428.\nAnswer: 76657956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 435815022?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*l, l + 497 = -5*z + 508 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/(f*(f*f*f\/(f**15\/f*f))\/f))\/((f\/(f\/f**1)*f)\/(f\/(f\/((f*f*f**18*f)\/f)))) assuming f is positive.\nAnswer: f**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41488*d = 41460*d - 28 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 8426931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 3:43 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3 - 8*z - 3. Let s(a) = a. Let q be (-43 + 1)*208\/(-156). Suppose -15*u - q = -11. Determine u*s(n) - m(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - o = 12, -o - 17 = 2*h + 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*u + 4*a = -131*u - 15, -4*u + 4*a = -12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*b**3 + 221 - 174 - 3*b**4 + 0*b**4 wrt b?\nAnswer: -12*b**3 + 21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 5*n**4\/12 + n**3\/6 + 2*n. Let q(l) be the first derivative of -l**3\/3 - l**2\/2 + 326. What is k(a) + 4*q(a)?\nAnswer: a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1887426 - 945527 + 6*p - 941899.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7)\/(-42)*-4)\/((-2)\/42). Sort 3, c, -5, -3 in decreasing order.\nAnswer: c, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 - -0.8. Let r = 17.4 + -17. Put d, 6\/5, r in decreasing order.\nAnswer: 6\/5, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 315 + -313. Solve 0 = s*t + 5*m + 19, 0 = 3*m + 11 + 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b68548 (base 13) to base 15.\nAnswer: 5965d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 63 times -6\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 44. Let v be q(7). Let i = -947 - -8519\/9. What is the biggest value in v, 2, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 6*h. Suppose 18 = -3*g - 0*g. List the prime factors of o(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 517*u - 258*u - 246*u.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3.307152 kilograms?\nAnswer: 3307152000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 1:35 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-945)*-81)\/(4\/4*-1).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2049.1 + 2049.5. What is the third biggest value in p, 875, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 34 = 58. Suppose -3*n - 4*c - 4 = 0, -c + 0*c = -5*n + 24. Solve u + p - 14 = -3*p, n*u = p - q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-8) + (-27)\/216.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2287? (a) -39 (b) 1\/4 (c) -1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 25*q**2 - 25*q + 30. Let p be f(24). Suppose -5*j - t = -p*t - 1510, 3*j - 914 = -5*t. What are the prime factors of j?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -1635?\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s - 1060 = 7*s. Is s <= 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3, -4*o = o + 2*h - 44. Suppose 6*m - o = -4. Which is greater: -4\/55 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 4:06 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -4 - -47) + (643 - 633)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - (8 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 4) to base 11.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, g: 2, a: 1, t: 1, m: 1, c: 1}. What is prob of picking 1 a, 1 t, 1 c, and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101001 (base 2) in base 9?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -30. Let z be ((-37400)\/(-51))\/(o\/(-6)). Let l = -1527 + z. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 5:47 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(16\/5)*(j*j*j*(j*j*j*j**(-30))\/j)\/j)**(9\/4) assuming j is positive.\nAnswer: j**(-513\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 954 and 85905474?\nAnswer: 257716422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-5) + 9\/5. Suppose 0*z - r*z - 16 = f, 4*f = 4*z + 32. Let k be (-44)\/207 - z\/(-36). Is k at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -144242595 to the nearest 10000.\nAnswer: -144240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -13654590 greater than or equal to -13654590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Sort 117, -5, -4, -3, 3, 5 in decreasing order.\nAnswer: 117, 5, 3, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 0.03, 0.2, 5, -2, -7 in descending order.\nAnswer: 5, 0.2, 0.04, 0.03, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 4371?\nAnswer: 43710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1\/((-4)\/(-16)) + 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -13203434312?\nAnswer: -13203434303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*r**3\/11 + 4336*r**2\/11 + 8686*r + 66564\/11.\nAnswer: 2*(r + 43)**2*(25*r + 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 12*m**3 + 2*m + 90*m**4 - 54*m**4 + 2*m**5 - 8*m**2 - 44*m**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 7 + 2 = 0. Let a(m) = -m**3 - 5*m**2 + 7*m + 9. Suppose 0*n - n = 6. Let f be a(n). Sort y, f, 4 in descending order.\nAnswer: 4, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6)*(-27)\/6. Suppose 19083*q - 19087*q + 48 = 4*y, 5*y + 2*q = 87. Solve -d*o - 9 = -y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cebzxczcszcb. What is prob of picking 1 z, 1 s, and 1 b?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 11 + 71 = 0. Let q(h) = 12*h**2 - 44*h. Let z be q(4). Let n = z + r. What is the nearest to 1\/4 in n, 1\/3, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 + -100001100010110001011010?\nAnswer: -100001100010110001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4317812*u*y**4 + 2*u*y**2 + 118*u - 32437 wrt y?\nAnswer: 17271248*u*y**3 + 4*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11432 divided by 2858?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z + x = 19, -3*z + 28 = -2*x. What is the least common multiple of z and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-340)\/240*-12?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3863.543nm to micrometers.\nAnswer: 3.863543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(-3)\/u*u)*u**(-2\/15)*u**(-1\/7)\/u*u\/(u\/u**(-3\/4))*(u*u**1)\/u**(1\/5)*u**(-3)\/(u\/(u\/u**0)) assuming u is positive.\nAnswer: u**(65\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297) + sqrt(297) + sqrt(297)*1 + sqrt(297) - sqrt(297))\/sqrt(9))\/sqrt(3).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**4\/8 - v**3\/2 - 8*v**2. Suppose -k - 5*m - 8 = k, -3*k - m = -14. Suppose k*f = 5*f + 3. Determine x(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 13 = -5*b, o = 5*o - b + 17. Let z be ((-2)\/(-4))\/((-7)\/(-14)) - o. Solve -z*d = -8 - 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187398 = 13*m - 11*m - 11*m. Round m to the nearest one hundred.\nAnswer: 20800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 52 (b) -1\/6 (c) -2\/9 (d) -0.2 (e) -5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15109 - 219. What is the highest common factor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*v + 25, 2 = -v + 3. Suppose 9*i - 4*i = -2*p + 151, t*i = 4*p - 232. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156\/3*(15\/(-117))\/(160\/(-576))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 31\/3. Let q = -1.19 + 1.88. Let b = q - 0.49. Is z greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0)\/(3\/231). Suppose 0 = -3*l + 7*u - 2*u + 46, -3*l + 3*u = -36. What is the highest common factor of a and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -12 - ((-12 - -5) + -11 + 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 719579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2. Let b be (-2 - -3)\/((-8)\/(-128)). Suppose 3*o - 12 = f - 2*f, -3*f + o + b = 0. Let a(i) = 0 + f - 6 - 14*i. Determine p(a(n)).\nAnswer: -196*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/(-1*sqrt(8) - sqrt(8)))**2 - sqrt(7) - sqrt(7)) + -4*(sqrt(28)\/sqrt(4))**2.\nAnswer: -105\/4 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-3485)\/3740 - (-2)\/11)\/(1443\/104)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.355 + 0.565. Round z to one decimal place.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 5*q + 85, -4*q = -2*w + 1 - 5. Suppose -4*y - y - 18 = x, -102 = 3*x - y. Let g = w - x. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 59 = 197. Put 2, s, 13 in increasing order.\nAnswer: 2, 13, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 9*a**2 - 16*a - 12. Let r = 13 - 23. What is the tens digit of q(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4341182105 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + (-17)\/(-5))*5. Let n be l + (-12)\/(-1 - -4). Let i be 40\/15 - n\/6. Solve -2*s = -i*v - 4, 3*s - 2*s = 3*v + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7, 5, 3?\n\"Answer: -2*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - s. Let t(w) = -w**4 + 13*w**3 + 2*w**2 - 10*w - 1. Let b(x) = -2*l(x) + t(x). What is the second derivative of b(j) wrt j?\nAnswer: -12*j**2 + 78*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -22 - -3 - 0\/(-2). Let s = 29 + u. Solve -4*c = s - 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 5 + -15 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q - q + 4*q)*(0*q + 0*q + q) + 4*q - 4*q - 2*q**2 + (-2*q + 3*q + q)*(0 - 2 + 0)*(-2*q + q - q)*(3 + 1 + 1) to m*q**2 + a*q + c and give m.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 27. Let p(y) = -17*y - 60. Let a be p(s). Suppose f - a + 57 = 0. Calculate the remainder when f is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f*q**4 + 39*f*q**3 - 25*f*q - q**2 - 4 wrt q.\nAnswer: -72*f*q + 234*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n + 13*n = 31. Suppose a + y = -n, 20 = 2*a - 4*y - 8. Let -a*z**3 + 0 - 77\/8*z**4 + 0*z - 1\/2*z**2 - 49\/8*z**5 = 0. Calculate z.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957129976?\nAnswer: 2, 11, 269, 40433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 3*p**2 + 3*p. Let c(w) = -w**3 + 4*w**2 + 4*w. Let x(h) = 3*c(h) - 2*t(h). Determine x(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuqzzrruaezuueuzz. What is prob of sequence zzzz?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61038*g**3*q**2 - 2*g**3 + 160*g**2*q - 71*g*q**2 - 4520*g*q wrt q?\nAnswer: -122076*g**3 - 142*g","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k - 6. Let o be r(6). Suppose -3*a = -8*a. Suppose a = 3*x - 0 - 33. Does o = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 3*v + 31, -5*v - 12 = x - 0*v for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 255355 + 407390 = 0. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - ((606 - 586) + 22 + -1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s - 29*s = 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 0. Let u = -0.092 + 0.092. Let y = u + f. Which is the nearest to 1\/2? (a) -4 (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*q - q - 138, 2*q = -5*u - 654. Let g = u + 261. What is the remainder when g is divided by (-1 - -45)*(-2 + 3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9051 by -7.\nAnswer: -1293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -448*n**3 - 387*n**2 + 387*n**2 + 518*n**3.\nAnswer: 70*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 47*q + 15. Let y(k) = -2*k - 13. Let n(u) = -19*u - 117. Let z(j) = n(j) - 9*y(j). Give h(z(w)).\nAnswer: -47*w + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d. Let u be z(12). Suppose -36 = -3*p - 2*g - 2*g, -5*g = -2*p + u. What is the remainder when (-22)\/(-1)*18\/p is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(27\/105 - 2\/5).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*x + 334 = 57*x + 160*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 equal to 2\/143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from {h: 12, g: 5, w: 1}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 4*m**2 + 11*m + 9. Let u be x(6). Suppose -76 = c - u*c - 4*t, -4*t - 116 = -2*c. What is the greatest common factor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25*o - 52*o - 135*o - 33*o)*(2*o**2 + 3*o**2 - 3*o**2)*(94*o - 174 + 174) as c*o**2 + i*o**3 + v + y*o + k*o**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -52, -71, -86, -97?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*u + 22 = 0, p - 3*p = 2*u - 12. What is the lowest common multiple of p and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83809*d**2*j**2*t - 131*d**2*j*t**3 + 2*d*t - 2737276*j**2*t**3 - 60*j**2 wrt d?\nAnswer: 167618*j**2*t - 262*j*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*l + 2*z, l - 2*z + 0*z - 11 = 0. Suppose l*k - 5*v = -2*v + 30, -v - 15 = -2*k. Suppose k*s + 17 = 47. Solve 2*a - s = 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, -2, 35 in descending order.\nAnswer: 35, -1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n - 2 + 12*n - 14*n)*(1 - 2 - 3).\nAnswer: -24*n + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u + 3*u - 9*u + (-2 + 4 + 0)*(-2*u + 3*u + 0*u) in the form c + t*u and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 47011 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 14 = 36. Suppose y - 2*g - 7 = -2*y, 3*g = 2*y + r. Solve 6 = y*b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11822*q**2 + 155267*q wrt q.\nAnswer: -23644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -502, -514, -540, -586, -658, -762, -904, -1090?\n\"Answer: -u**3 - u**2 - 2*u - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 6:56 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cc + -2?\nAnswer: -ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1558*z - 1557*z = 5*t + 5, -5*t + 10 = 2*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/4, 15\/68, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/264 and 37\/6112524.\nAnswer: 12225048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03614 * -109.4.\nAnswer: -3.953716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 + -307\/4. Which is the closest to 1? (a) v (b) -15 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 8:21 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2\/137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 379840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 38043260*u. Let i(q) = 3*q. Determine i(m(o)).\nAnswer: 114129780*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9053209, -18106414, -27159617, -36212818, -45266017, -54319214?\nAnswer: -63372409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 31 = 2*f. Let z = 48 - -75. What is the remainder when z is divided by f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (276 - 286) + (0 - -2) + 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179240097 by -3.\nAnswer: -59746699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 0*r**2 + 2*r + 2 + 4*r - r**2. Let l(g) = g**3 + 12*g**2 + 9*g - 16. Let v be l(-11). Let a be q(v). Solve 0*y = -2*y + a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**21)\/(t*t**(-2\/35)) assuming t is positive.\nAnswer: t**(737\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 + 70. Let m(w) = -5*w + k*w + 331 + 339 - 676. What is m(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/423, -1\/6, -0.4, 0.3, 2464 in decreasing order.\nAnswer: 2464, 0.3, -2\/423, -1\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyy when three letters picked without replacement from {y: 3, j: 8}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 12 = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -3 - (7 + -3)) + 1*-1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, -5, 0 in increasing order.\nAnswer: -8, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 38907.3508 to the nearest 100.\nAnswer: 38900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 4. Suppose 5*l - 2*l - 3 = 0. Let c be -10*(-12)\/8*l. Solve 4*z + c = -h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 6, 1\/8, 0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1769808 and -70\/9.\nAnswer: 5309424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 8 + -25 + (-1 - -15) + -3 - -12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gva. Give prob of picking 1 v and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112*f**3*r*s - 21070583*f**3*s**2 - 5*f*s**3 - 229709*r*s**3 with respect to r.\nAnswer: 112*f**3*s - 229709*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -41. Let a = 31 - b. Calculate the remainder when 54 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2700 divided by 900?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2343676634?\nAnswer: 2, 13, 233, 263, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 425579854*s**3 + 3315777*s**2 + 2*s + 35.\nAnswer: 2553479124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, k: 1, z: 1, s: 1, h: 1}. What is prob of sequence fzkf?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 84*o - 82*o = 0, -7*m + 2*m - 2*o = 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1430807.\nAnswer: 7, 23, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -0.2 (c) 9 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12460 - -12464. Solve -5*o = u*p + 2, -7*p + 11*p = 2*o - 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 6567368*k**3 + 10782574044486*k**2 + 21565167791080*k + 10782587179225.\nAnswer: (k - 3283685)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u**4 + 2*u)*(-28 + 19 - 32).\nAnswer: -41*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/75*-1*21240\/(-72)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -5.47245438?\nAnswer: -5.67245438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - (-53 + -4 + 87).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -366, -531, -684?\nAnswer: -825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 43*m - 3. Let y be o(3). Let p be (-46)\/(-2) + (-3 - -1) - 3. Calculate the highest common factor of y and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 8:49 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 - 8*v + 5. Suppose 0 = s + 5 - 15. Suppose 2*u - s = -0*u. Let i(a) = 3*a**2 - 7*a + 4. Give u*o(k) - 6*i(k).\nAnswer: 2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2d13 (base 14) to base 7\nAnswer: -32323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-2) + 4 + 0. Let o(s) be the second derivative of -1\/20*s**5 - 3\/2*s**2 + 0*s**3 + 0 + 1\/2*s**4 + 2*s. Give o(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 0*j + j + (-2*j - 4 + 4)*(-1 + 1 + 1) + 1 - 1 + 3*j + (-3 - 1 + 2)*(-3*j - 3*j + j))*(-3*j + 2*j**2 + 3*j).\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 5. Let c be o(-3). Suppose -c*w = w. Factor 3*v**2 + 2*v + v + w*v**3 + v**3 + 0*v**3 + 1.\nAnswer: (v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5743980 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -696 and 7.\nAnswer: -4872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 10:10 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 8*w - 18 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -5 (c) 1\/3 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m + 3 = 0. Suppose -7502 - 9739 = -3*h + m*y, y = -3. Suppose 0 = 2*v + 2*u - u - 2875, -4*v - 4*u + h = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598067788 is divided by 610.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2597 - -2571.2. Let t = 0.01 - -25.99. Let f = t + h. Which is the nearest to -0.1? (a) -0.29 (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -56484 + 1?\nAnswer: -56483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((4 - (-1 - -3)) + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 462 times 1\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/6)\/(10\/30). Let v be (s - -9) + 1 + -1. Suppose 3 = v*r - 29. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l**2 + 679*l - 1020. Give b(-114).\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 64\/(-112)*(-14)\/4. Suppose 0*l + p*l - 6 = 0. Suppose 4*b = 2*m - 12, -b = -m - 2*b + l. Solve -m = -3*t + t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000770289263 to six decimal places.\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 179276 = -6*m - 3*m. What are the prime factors of m?\nAnswer: 44819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 978*b - 2. Let j(w) = -7177*w**2. Give h(j(p)).\nAnswer: -7019106*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*g = -2*i - 37*g + 17, -3*i - 27 = 3*g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = h - 2, -3*h - 1 - 3 = -2*c. Let l(d) = -3*d**2 + 67*d + 69*d - 209*d + 7*d**2 + 72*d. What is l(c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 7:40 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5174 is divided by 207?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 6 = -19. Let f be -2*1\/l*-10. Suppose -5*c + 30 = b, 3*b + f*c - 145 = -0*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -73 - 71708?\nAnswer: -71782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(12)\/sqrt(2)))**2 + 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8832888 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7462)\/(-26158) + 10\/(-55))*1?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -27*a + 16*a. Suppose a*c = 30*h - 33*h + 2, -2*c = -4*h - 16. Solve -k + 5*i = 22, 6*k - c*k - 21 = -3*i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + c - 2, -k - 3*k - 5*c = -6. Suppose -2*f + 751 = f - 4*v, -k*v + 992 = 4*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 11:11 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**4\/8 - 3*r**3 - 401*r**2 - 2. Give u(-17).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(34)\/sqrt(2)*6*-2 - ((sqrt(2448) + 2)*4 + sqrt(2448))**2*2.\nAnswer: -122528 - 1908*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 24?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5697000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1091495569?\nAnswer: 2659, 410491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**3\/3 - 14*p**2 - 3480*p + 99000 = 0.\nAnswer: -75, 30, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -729.\nAnswer: 5\/729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1. Let n = 3054 - 3054. Let y be -1*(0 - (-2)\/10). What is the closest to x in y, -2\/9, n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + (-6816)\/216 + ((-24)\/63)\/((-6)\/(-952))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491383.\nAnswer: 487, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(336\/(-18)))\/((-6)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 237*q**2*y**3 + 2*q**2*y**2 - 2*q*y**6 - 2*q*y**3 + 17*q*y**2 - 19*q + 2*y**2 wrt y?\nAnswer: 1422*q**2 - 240*q*y**3 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 6*w + 5*w = 16, 63 = -3*p - 5*w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, g: 2, p: 1, t: 2}. Give prob of picking 4 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 224*j**2*w*x - 2461*j**2*w - 6*j**2*x - 3*j**2 + j*w*x + 47*j*x + 1868129*x wrt j.\nAnswer: 448*w*x - 4922*w - 12*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153) + 1)*-1 + -3 + 2 + sqrt(85)\/(sqrt(605)*-1) + (sqrt(119) + -4*1*sqrt(119))\/sqrt(7).\nAnswer: -100*sqrt(17)\/11 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*d - 450 - 1890. Solve -5 + d = 31*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -25230*p + 58. Let s(w) = -12617*w + 26. What is 4*f(x) - 9*s(x)?\nAnswer: 12633*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 5 (c) 0 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11.9498 * -154\nAnswer: -1840.2692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 48 (c) -1 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89871 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 - 9*s + 4*s - s - 3*s**2 - 7*s**2 + 1 to o*s**2 + x*s + v and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 18*d**2. Let k(v) = -427*v + 419. Calculate k(t(h)).\nAnswer: -7686*h**2 + 419","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-165)\/(-396) + 2\/6. Which is the closest to 29? (a) -0.3 (b) 2\/647 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 2 + -13 + 2 + 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -20*m - 1703. What is the remainder when 1647 is divided by p(-90)?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966540105?\nAnswer: 3, 5, 21478669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 620?\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + ((-210)\/(-60) - (66\/132)\/(2\/(-14)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 1. Let z be o(-1). Let v(k) = -2*k - 15. Let r be v(-10). Let w = -1879 - -1879. Solve z = n - w*n + r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -451 - -456. Sort 2, 0, x, 35 in descending order.\nAnswer: 35, x, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0086004 rounded to four decimal places?\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 44 = -6*o + 3*n, -72*n + 43 = 21*o - 76*n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1154217\/7 + 164893. Suppose -6\/7*f**3 - s*f**2 - 16\/7 - 44\/7*f = 0. Calculate f.\nAnswer: -4, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/6 - ((-3)\/6 - -2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 z, and 1 e when four letters picked without replacement from zaeavoo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 10:02 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 18. Let t be 16\/(-12)*45\/(-12). Let f be t\/25*25 - -4. What is the greatest common divisor of f and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*(140\/(-450))\/(-14). Factor 0 + 0*w - d*w**2 - 1\/9*w**3.\nAnswer: -w**2*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14671020?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/(-24)*(-1)\/5*4. Let l be 176\/4*1\/q*-12. Let n = -186 - l. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {n: 2, g: 4, e: 1, r: 2, m: 1, d: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**5 + 0*g + 3*g**5 - 3*g + (g**2 + 0 + 0)*(3*g**2 - g**3 - 3*g**2).\nAnswer: -3*g**5 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2578773.37 rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -29. Let x = 0.1 + -1.1. Put x, j, -0.1 in ascending order.\nAnswer: j, x, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) - sqrt(12))\/sqrt(6) + -1 + sqrt(2) + (sqrt(10)\/sqrt(5) - sqrt(2)).\nAnswer: -1 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 464 = -4*a, 260 = w - 8*a + 13*a. What is the highest common divisor of w and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -95\/31 (b) 33 (c) -1 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -5*t**7\/14 - t**6\/60 - t**5\/30 + 13*t**3\/6 - 692*t**2. Find the third derivative of b(l) wrt l.\nAnswer: -1800*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 299700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4953791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 429\/104 + (-1 + 2)\/(-8). Suppose 3*x = -3, -5*m + j*x + 462 = -97. Suppose 2*g = -g + m. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 568 divided by -5.\nAnswer: -568\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -21*n + 145. Solve 1 - 8 = -g + 4*y, 10 = -n*g + 5*y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 8*z**2 + 6*z + 5. Let q = 7 + 0. What is g(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 511 (base 9) to base 12.\nAnswer: 2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 less than 973.059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 209, 204, 2.\nAnswer: 2, 204, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - (2 - (4 - 3)). Suppose -a + b*a = -9. Let s be (a + 39)*10000\/6. What is s rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -11 + (15 - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05053 greater than or equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 225\/8*q + 3\/8*q**3 - 45\/8*q**2 - 375\/8.\nAnswer: 3*(q - 5)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220660.\nAnswer: 2, 5, 11, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 250459938 to the power of 1\/4, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*i - 9*i - 7*i)*(-3 + 2 - 1 - i) + (1 - 1 + 2*i)*(0 + 2*i + 0) + 6*i**2 + 7*i**2 + 3*i**2 in the form t*i**2 + p + y*i and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1423 = -3*v, v + 2*v - 1443 = -3*c. Calculate the remainder when v is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 421271094 to the nearest integer?\nAnswer: 20525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.099653 hours in microseconds?\nAnswer: 32758750800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -12, 0.3, -1\/2 in ascending order.\nAnswer: -12, -3, -1\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -539 + 37*m**2 + 539 as v*m**2 + y + c*m and give v.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-135)\/(-75) - (-2)\/10. Let k be 12 + -6 - y\/2. Solve -k*s - 3*w - 37 = 0, 0*s + 4*s + 36 = -4*w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by 303.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 369868569?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvggqdvgpgp. What is prob of sequence dp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19210523, 76842067, 172894633, 307368215, 480262807, 691578403, 941314997?\nAnswer: 1229472583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15910\/860 - (-222)\/12.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-three tenths of a century?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -42, 337, 1142, 2373, 4030, 6113, 8622?\n\"Answer: 213*k**2 - 260*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*n + 1632, 0 = 52*n - 48*n + 12. What is the smallest common multiple of t and 108?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 75?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**3 - 15*a**2 - 35*a + 19. Let q(o) = o**3 - 3*o**2 - 7*o + 4. Let y(z) = -2*n(z) + 11*q(z). Is y(5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**2\/2 + 82*m = 0.\nAnswer: 0, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -4 + 7 + (-2 - -8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:44 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**23\/z)\/(z*z**(-11\/3)))\/((z\/(z*z**(-25))*z)\/(z*z**4)))**(4\/29) assuming z is positive.\nAnswer: z**(44\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -16374, -707.\nAnswer: -16374, -707, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -1457\/1887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -5*j - 83. Let u be 28\/6 - 2\/3. Which is the closest to j? (a) 0.3 (b) 0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15948016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.3 (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.47010608 - 27.47. What is i rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 2. Let y(b) = -b**2 - 8*b + 6. Let v be y(-9). Let p be i(v). Let -3*j**3 + 4*j**5 - 3*j**4 - j**5 - 21*j**2 + 12 + 12*j**p = 0. Calculate j.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -125\/26234 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.25 or -2?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 2*x - 30 - 45 = s + 3*x, -2*s + 10*x - 2 = 0 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((0 + sqrt(11))*2 - sqrt(11) - sqrt(11)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/6*(-3 - 1). Let n = -2.87 - -411.87. Let v = n + -438. Are t and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h = 9*h + 88 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/147*4*9)\/((-8)\/1232*-44).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 32*u**2 - 78*u.\nAnswer: -2*u*(u - 13)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503 = -9*s + 584 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r - 28*r - 268 = 2*w, -248 = -5*r - 3*w. Calculate the remainder when 55 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = v + 26, 0 = -3*v - 0*v + 5*d + 22 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1099361 and -24.\nAnswer: -26384664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2359 is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1\/(z**(-2\/3)\/z))\/(z*(z**(-2\/5)\/z)\/z)**(10\/3) assuming z is positive.\nAnswer: z**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 12:42 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwwlwwzwzzwwwzwwwwz. Give prob of picking 3 w.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 47, 146, 335, 644?\nAnswer: 1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 - 59*y**3 + 156*y**2.\nAnswer: y**2*(y - 4)*(5*y - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -223133?\nAnswer: -223137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.553 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -25) + (-2 - 2 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/112*(-12)\/30?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 11. Let c = 14 - m. Let s = -183 - -183.1. Sort c, -2\/21, s in ascending order.\nAnswer: -2\/21, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d - 3. Let g be 1 + (1 - 2) - 7. Let h be w(g). Suppose -64 = -4*p + h. What is the greatest common factor of p and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 17 + 18. Suppose -i - 5*w = 2*i + 4, -8 = -t*i - w. Solve -i*a + 0*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 65351711 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20428 divided by -5\nAnswer: -20428\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 16*x + 5. Give b(-6).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 3, o: 2, a: 1, u: 3, s: 1, v: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 144*a - 5228. Determine n(77).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + w = -2*o - 208, 3*o + 2*w - 130 = 0. Suppose o*p + 116 = 13*p. What is the third smallest value in 0.1, -15, p, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 134 and -87417.\nAnswer: -87283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*r = -9, 3*j + 9 = -4*r - 2. Which is the second biggest value? (a) j (b) 1\/6 (c) 1.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1787\/4 (b) 118 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 23. Let y be (-1)\/2*(27 - 27). What is a(y)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from pftfnku.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(2448))*2 + (sqrt(2448) - -5*3*sqrt(2448)) - -5*-5*(sqrt(2448) - ((sqrt(2448) - (sqrt(2448)*-1 + sqrt(2448))) + -2)))*3)**2.\nAnswer: -186624*sqrt(17) + 7159104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.324 - 0.024. Let i = 22\/4775 - 9704\/33425. What is the nearest to 0.1 in j, -2\/19, i?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 9:42 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.194 - 4.446. Let p = -0.14 - q. Let s = p - 4. Which is the third smallest value? (a) 4 (b) s (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*c - 8 = -243*c + 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30383852 is divided by 6076765.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1 + (-1)\/(-2)). Let i(v) be the first derivative of v**4 + 0 + 5*v**2 - 4*v**f + 3. What is the second derivative of i(o) wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-1)\/(-14)*(-40)\/30.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q - 3*q - 2*r, 5*q + 3*r + 2 = 0. Let s(f) = 5*f - 6*f + q*f. Let u(t) = 24 - 478*t + 477*t - 24. Give s(u(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 2*k + 23. Does 2 divide j(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 (base 7) in base 16?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + 8*f + 8. Let w be k(-6). Suppose -v - 7*v - w = 0. Let r be ((-9)\/12)\/((-1)\/4). Sort v, -1, r in increasing order.\nAnswer: v, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**3\/t))**43*t\/t**3*((t\/(t\/((t*t**11*t)\/t)))\/t)\/t)**(25\/6) assuming t is positive.\nAnswer: t**(-875\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3944 in 0, 0.051, -12?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2747.405ml to litres.\nAnswer: 2.747405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -25, -106, 0 in ascending order.\nAnswer: -106, -25, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -3 (b) -0.8 (c) 41 (d) 3 (e) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9224171 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -230*g**2 + 54931*g + 4660236 wrt g?\nAnswer: -460*g + 54931","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 2*s - 27, x - 21*s = -19*s - 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/18 - 18\/81. Let k be (-41)\/36 - 5\/(-20). Which is bigger: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 401070\nAnswer: -401074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1358 and 742?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -6, 19 in decreasing order.\nAnswer: 19, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0*g)**(-49))**(5\/4) assuming g is positive.\nAnswer: g**(-245\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from wykw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 2:41 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -924 - -943. Solve 2*y + 12 = -2*t, 4*t = 10*y - 9*y - a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-3)\/((-9)\/(-6)). Suppose 5*m - 17 - 3 = l. Suppose 4*i + 40 = 2*r, -24 = -3*r - 4*i - m. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {h: 1, x: 5, n: 5, c: 1, t: 1, g: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2 - 120*x - 63. Let c be b(-38). Let l = -205 - -310. Calculate the highest common factor of l and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 8846*m + 7807. Let v(r) = -11*r + 6. Let o(t) = -s(t) + 6*v(t). Differentiate o(p) with respect to p.\nAnswer: -8912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-1)\/11)\/(164\/(-1804))*(-6)\/(-9).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -11, 155, 489, 1045, 1877?\nAnswer: 3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8798 or 1\/4?\nAnswer: 8798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/m**13*m**(-6\/17) assuming m is positive.\nAnswer: m**(-193\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyye when four letters picked without replacement from eyeeyeyyyeyeyyyyyey.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 57*m**2 + 246*m - 106. Let h be f(61). Let d = 5 + -2. Sort d, 0.1, h.\nAnswer: 0.1, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.04289 + -7?\nAnswer: -7.04289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4023164 and 2152.\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**2 + 3 - 3)*(-3*h - h - 2*h) - 4*h**2 + 0*h**3 + 6*h**2 + h**3 + 6*h**3 + 9*h**2 - 9*h**2 in the form b*h**2 + x*h**3 + f + n*h and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113849 - 113803. Suppose -5*w + 2124 + 61 = 0. Calculate the greatest common divisor of h and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 63\/10 (b) -0.4 (c) -2\/7 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (344\/((-64)\/(-8)))\/(0 - -1). Calculate the greatest common divisor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1502420830 is divided by 108.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4 + (-2 - -3) + 2513\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2535484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24.069 + -24. Let u = -0.751 - q. What is u rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**3 - l**2 - 57 + l**2 + 3*l - 3*l**4 + 2*l**2 + 62 in the form a*l**4 + m*l + f + v*l**3 + p*l**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*((v**(-1\/3)\/v)\/v)\/v*v*v**(1\/2) assuming v is positive.\nAnswer: v**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3198 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -754 = -61*d + 3*d. What is the remainder when 396 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 - 2\/(-2)*1. Let c(i) = -i - 5. What is the units digit of c(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 13*j**2 + 23*j + 25. Does 38 divide s(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39\/122 in 5, -1\/3, -87\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17632?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330692 + 330692 - 1732*v**3.\nAnswer: -1732*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -12*u. Let x(c) = -c. What is q(n) + 10*x(n)?\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t**2 + 16*t**2 + 209*t - 209*t.\nAnswer: 31*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 575*o**2 - 9903*o wrt o?\nAnswer: 1150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 s, and 1 p when three letters picked without replacement from {s: 1, o: 3, g: 8, p: 6}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 216, 423, 696, 1035?\nAnswer: 1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 30 = -16*u + 3*u + 12*u, -4*c + 9*c = -17*u - 3 + 2 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(4\/5))**(-32\/9))**21 assuming c is positive.\nAnswer: c**(-896\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35931 by 177.\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 11:42 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 20.18. Let p = 9.82 - h. Let j = -9.9 + p. Which is the closest to j? (a) 1\/6 (b) -2\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1200 - -3?\nAnswer: -1186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 485*v - 485*v - 25*v**2.\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -25*(24\/(-15) + 1) is divided by 2\/10 + (-78)\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -21*c + 3. Let b(p) = -p. Determine 3*b(k) + t(k).\nAnswer: -24*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 0*v = -3*v - 10, -2*y - 35 = -5*v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*y = 4. What is the remainder when 65*(6\/(-10) + y) is divided by (12\/(-8))\/(12\/(-56))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 44 - 9 = b, -4*p = 16. Let x be ((-1)\/((-2)\/(-6)))\/(-1). Suppose x*d = 7 + 17. What is the remainder when b is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*(sqrt(72) + ((sqrt(72) - 1*sqrt(72) - sqrt(72) - sqrt(72))*4 - sqrt(72))))\/(sqrt(99)\/(sqrt(11)*3) - (-1*sqrt(99))\/sqrt(11)).\nAnswer: 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 444 (base 6) to base 5\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -547 - -101. Let o = q - -447.186. Round o to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1 (c) 2 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cd1 + bb39c?\nAnswer: ba5bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 16*n + 23 = -12*n + 15, 0 = -2*q + 3*n - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121\/3 + -40. Let x = 3\/17441 + -69791\/156969. Which is the closest to l? (a) x (b) -3 (c) 94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43772+20758840\nAnswer: 20802612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7738 = 109*y - 10029. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 64 = 2*z. Suppose 102 = -4*a + c, -4*a + 3*c - 94 = -2*c. Let b = a + z. Put 5, -3, b in descending order.\nAnswer: b, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 18*d - 1258 = -1328 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3831 divided by 95.\nAnswer: -3831\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.4 + -1.4. Let a = -2.483 - 635.717. Let u = -638 - a. What is the smallest value in p, 2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*m**3 - 81*m**2 + 2*m wrt m?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/19439 and 29\/102207485.\nAnswer: 715452395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(2))\/sqrt(3))\/((sqrt(70)\/sqrt(2))\/sqrt(7)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, a: 3}. Give prob of picking 2 y.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -542 divided by -415\nAnswer: 542\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(54)\/sqrt(3) - -3*sqrt(8)\/sqrt(4).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9 + 9 - 19. Let w be 2*((-22)\/(-33) - (-470)\/6). Let l = -157 + w. Let n(p) = -p**2 + 2*p + 3. Calculate l*n(y) + 2*s(y).\nAnswer: -y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*q = -157 + 127 + 1022 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 425, 837, 1235, 1613, 1965, 2285, 2567, 2805?\n\"Answer: -h**3 - h**2 + 422*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*r + 35151 - 41501 = 0 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106\/135 - 2\/135. Let i be (-18)\/(-4)*2 + (-27 - 518\/(-42)) + 6. What is the biggest value in i, -29.3, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.22 + -0.02. Which is bigger: j or -3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 9. Suppose 5*n + l + 3*l = -12, 0 = -n + l + 3. Let x be i(n). What is the highest common divisor of x and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + 18\/(-4))*8 + 586. Let l(h) = -2 + 1 + 12*h**3 - o*h + 584*h - h**2. Determine l(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 - 77 = -41*d + 146. Solve s = -2*w + 4*w + 3, 0 = 5*w + 3*s + d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 27 = 203*m - 201*m, 5*m + 0*y = 2*y + 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -1\/12*g**3 + 0 + 1\/40*g**5 + 0*g**2 + 8*g + 0*g**4. Let a(s) = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**4 + 11161*m**3 + 18*m**2 - 5399*m.\nAnswer: 96*m + 66966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2.7 (b) -5 (c) 12.5 (d) 1\/72\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (418\/8)\/((-27)\/846). Let g = o + 1652. Find the common denominator of g and ((-2835)\/700)\/((-24)\/(-10)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7296*c**3 + 13*c**2 + 7303*c**3 + 3355 - 11*c**2 + 365.\nAnswer: 7*c**3 + 2*c**2 + 3720","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 7091 and -139015 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 281 = -5*f. Calculate the remainder when f is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-300)\/75)\/(2*5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1409 - -3174. Let n = 12286\/7 - s. Is n <= -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 1037 = 1057 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 10:21 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3 = -0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 - 85. Let a(r) be the third derivative of 0*r + 0 + g*r**3 + 1\/60*r**5 + 0*r**4 + 1\/336*r**8 - 5*r**2 - 1\/210*r**7 - 1\/120*r**6. Factor a(f).\nAnswer: f**2*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 11:57 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**3 - 17*r**2 - 13*r + 9. Determine n(-7).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 h when three letters picked without replacement from nfffnjnjnjfhff.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*o + 199 + 89, o - 5*q - 55 = 0. Solve -65 = 10*y - o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2768398 equal to -2768351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 28 (b) -2 (c) 2\/9413\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -13*o**2 - 85*o - 17. Let j be l(-13). Let b = 2520 + j. List the prime factors of b.\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -355312 or -355304?\nAnswer: -355312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/662620 and 1\/72755676.\nAnswer: 363778380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4967120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.139, 0.02, -11, 0.03, -1, 1\/5, -3?\nAnswer: 0.139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, g: 2, w: 2, b: 7, h: 4, u: 4}. What is prob of picking 1 b and 2 u?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + (sqrt(17) + -1)**2 + sqrt(17) + -1*sqrt(272) + sqrt(102)\/(sqrt(6) + sqrt(54) + sqrt(162)\/sqrt(3)))*-1.\nAnswer: -25 + 34*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 12:16 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60163 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*b + 9878 - 8885 = -9657 for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1025420 (base 7) in base 6?\nAnswer: -2355452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 6 - 45. Let i = h + 20. Suppose i*c - 7*c - 12 = 0. Let q(o) = o**2 - 3. Determine q(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3900*u**3 - 1579?\nAnswer: 11700*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5910763 and 306599.\nAnswer: 3881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**6 + 2*d**5 + 4*d**2 - 2. Let p(l) = -l**5 - l**2 + 1. Let k(h) = c(h) + 2*p(h). What is the third derivative of k(o) wrt o?\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 426355800?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 62.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**4\/6 + 175*g - 11. Let r(v) be the first derivative of f(v). Let h(m) = 195*m**2 - 2. What is r(h(x))?\nAnswer: -76050*x**4 + 1560*x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**2\/2 + a. Suppose 13*v = 17*v + 4. Let g(k) = k**3 + 2*k**2 + k + 3. Let f(l) = v*g(l) + 3*s(l). Factor f(u).\nAnswer: -u*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -231 - -627. Let y = r + -3209\/8. What is the common denominator of y and 43\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49729*n**2 - 49977*n**2 - 381 + 381.\nAnswer: -248*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/3)\/(u\/u**(-2\/7))*(u*u**4)\/u**2 assuming u is positive.\nAnswer: u**(29\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 2. Suppose -5*k - 405 = -5*p, -4*k - 15 = 1. Let n = 77 - p. Suppose -19 = -i + 4*i - 5*o, n = 2*i - 3*o + 13. Give b(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 11*m + 25. Let q be c(-8). Is 1\/45 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bb67 - -b14?\nAnswer: c97b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*d - 194 + 34 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1776, 1794, 1838, 1920, 2052, 2246?\nAnswer: 2514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*-2 + (sqrt(8)\/(sqrt(4)*1))**2.\nAnswer: -6*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**3 + x**2 - 8*x - 1. Let h be d(-4). Let l = -333 - h. Solve -19*i = -21*i + l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 2:56 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35292295 or -35292298?\nAnswer: -35292298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g*y**3 + 487*g*y**2 + 13*g*y + 11*g - 2*y**2 wrt y?\nAnswer: 12*g*y + 974*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21303 is divided by 204.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47439292?\nAnswer: 2, 131, 90533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7437517819 less than 20.7?\nAnswer: -7437517798.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*x - 2340 - 3954 = 0, 0 = 2*j + 5*x + 2505. What are the prime factors of (8\/(-10))\/(3 - (-3787)\/j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/13 - 3974*v**2\/13 = 0. Calculate v.\nAnswer: -1987, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 420 and 25935?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 453 - 458, -3*f + 4*z = -25 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + ((-458)\/(-585) - -1). Let i = 2\/117 + v. Which is bigger: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 155.2941 or -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q. Let k(z) = 3*z + 3. Let n(b) = 4*d(b) - k(b). Let o = 5 + 1. List the prime factors of n(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -559.4 - -561.2. Which is the nearest to -0.13? (a) 1\/4 (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*s + 5*a - 34, -s = 5*a - 3. Let l(y) = -y**2 + 4*y + 4. Let x be l(4). Suppose -x*j + 2 = -3*j. Solve -g + s = -j*u - 0*g, 20 = -5*u + g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 9:28 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 15*i = -112 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22, 13, 66, 131, 202, 273, 338, 391?\n\"Answer: -y**3 + 15*y**2 - 3*y - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/m*m**(-7))**48*((m**(-2\/5))**(-3\/29))**45 assuming m is positive.\nAnswer: m**(-4122\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1967337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vawftgwattttwwt. Give prob of picking 1 f and 1 a.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -6a044a14?\nAnswer: 6a044a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 192189 = -3*h, 14*h - 11*h + 3*r - 192189 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w - 2*w)*(22*w**3 + 15*w**3 + 19*w**3).\nAnswer: -56*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*s + 184 - 192 = 0, 4*j + 4*s - 64 = 0. Calculate the smallest common multiple of j and 7050.\nAnswer: 28200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -270*l**2. Let j(a) = 6*a + 60. Let x(t) = 3*t + 24. Let i(n) = -2*j(n) + 5*x(n). What is u(i(s))?\nAnswer: -2430*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/32 and 57\/10680352?\nAnswer: 10680352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25\/10*(-1 + 3). What is the closest to 0.1 in 1\/4, y, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 130528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -19*j - 58. Let q = -23 + 17. Let d be l(q). Suppose -5*b + a = -32, -20 = 5*b - 3*a - d. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -95*v + 137*v**3 + 11*v**2 - 15 + 82*v - 136*v**3. Calculate n(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**4\/6 - q**2. Suppose 3*h - 4*k = -h, -3*k = h - 12. Let x(t) = -7*t. Let u(r) = h*x(r) - 5*o(r). Give u(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + 8. Suppose 0 = 3*c + c - p. Suppose -3*l + 44 = -l. What is the least common multiple of c and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580509173?\nAnswer: 47, 181, 68239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m - 10. What is the lowest common multiple of (27 + -1)\/2 + -1 and z(-5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.5043 decades in millennia?\nAnswer: 2.845043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 45*j - 41*j + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**2*l**3*z - 17*f**2*z - f**2 - 7*f*z - l**3*z - 2*l**3 + 3*l**2*z wrt f.\nAnswer: -4*l**3*z - 34*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b - 7*b + 6*b. Let r(k) = -16*k. What is r(z(y))?\nAnswer: -32*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10136201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 550 + 208. Suppose 13*m = -67 + f. Let o(q) = -9*q - 2. What is the remainder when o(-5) is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -112\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -4 (b) 0.11 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 6720?\nAnswer: -6711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.05, -2.90519 in increasing order.\nAnswer: -2.90519, 0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 1078?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.3476ns in seconds?\nAnswer: 0.0000001533476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(612) - -1*sqrt(612) - sqrt(612)) + sqrt(612) + -2 + -1*sqrt(612)*5 + ((sqrt(51)\/(sqrt(3) + sqrt(12)))**2 + -1)*3).\nAnswer: -108*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -7*n**2\/2 - 4*n - 5326. Let s(d) = -d - 1. Calculate -10*s(g) + 2*x(g).\nAnswer: -4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(931) + -2)*-2.\nAnswer: -14*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 3:49 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (11 - -137) + -6 + -1 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309238324 to the power of 1\/3, to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -12, 403 = -c - 5*f + 427 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*j**2*s**3 - 3*j**2 + 104*j*s**4 - 371*j*s**2 - 6*s**5 wrt s.\nAnswer: 54*j**2 + 2496*j*s - 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -614 (base 12) in base 6?\nAnswer: -4024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(475)*-2 - sqrt(38)\/(sqrt(2) - sqrt(2)*-2)) + -2*-4*(sqrt(19) + 0).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, g: 2, t: 4}. What is prob of sequence ttgt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -136267 + 4087907\/30. Find the common denominator of (-1 + 3)*(-346)\/120 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 3*k**4\/4 - 5*k**3\/3 - 9. Let r(g) = g**3 - 2*g**2. Calculate 5*r(h) - 2*z(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2604*o**2 + 214*o wrt o.\nAnswer: -5208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40718776 and 52352712?\nAnswer: 366468984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 32914*x**2 + 270799932*x + 541731528.\nAnswer: (x - 16458)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 329 and 1141.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68180 = -13627*b + 1120057 - 124927 + 871724 for b.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030 (base 4) in base 2?\nAnswer: 10001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252\/(-4998)*(-10)\/(-4)*(-252)\/135.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, p: 6, f: 4}. Give prob of sequence ee.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q**3 - 31*q**2 + 25*q - 21. Let l(c) = c**3 - 6*c**2 + 5*c - 4. Let o be (-18)\/(3*2\/12). Let j = o - -14. Let f(a) = j*l(a) + 4*b(a). Factor f(s).\nAnswer: -2*(s - 2)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*t = -148*t + 111 - 20 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-1\/3)\/x))**49\/(x*x**31*x*(x*x\/(x*(x*(x\/x**22*x)\/x)\/x)*x*x*x)\/x*x) assuming x is positive.\nAnswer: x**(169\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -44 (b) -2 (c) -2\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/5 + 3*i\/5 + 2\/5 = 0. What is i?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 130.95, 0.4, 0, -5, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 505.769294 to the nearest 10.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628324167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70.1 - -70. Let y = -27 - -46. Let s = y - 16. Which is the closest to n? (a) s (b) -6 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s + 31 = -59 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -26, 90, 264, 502, 810?\nAnswer: 1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*o + 15*o = -7452. What is the remainder when o is divided by 31?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -723?\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6756 - 27023\/4. Which is the nearest to 0? (a) -0.0293 (b) 0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10022 (base 3) in base 10?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h**(4\/5)\/h)\/h*h*h)**(2\/127)\/(h**(7\/6)*h*h)**(-1\/32))**(-1\/6) assuming h is positive.\nAnswer: h**(-17441\/731520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -8. Suppose 0 = 2*y - 15 - 7. Let c = y - g. Put c, 0, 3 in decreasing order.\nAnswer: 3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(110)\/sqrt(2)*4)\/sqrt(11) - (sqrt(405)*-2*4)**2).\nAnswer: -25918 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.54 + -2.0915.\nAnswer: 15.4485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y. Let w be j(0). Put 4, w, 12, -2 in descending order.\nAnswer: 12, 4, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 1:19 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 31, 3\/2, -0.3, 9\/16?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -5 (c) 8 (d) -95 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 17*d**2 - 165*d - 57. Determine k(-24).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/2 - 105*z + 1617\/2.\nAnswer: -3*(z - 7)*(z + 77)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206230?\nAnswer: 2, 5, 41, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aarggyiiiyrrrgyraarr. What is prob of sequence iyir?\nAnswer: 7\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 57\/(-132) + (-6)\/(-33). Which is the closest to p? (a) -4 (b) -1\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/9 + 89*v**2\/3 - 181*v + 273.\nAnswer: (v - 3)**2*(v + 273)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26494 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**5\/60 - 2*j**3\/3 - j**2\/2 + 2*j. Let t(w) be the first derivative of k(w). What are the prime factors of t(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*3\/42)\/(874\/152)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - y - 1. Let d be k(-1). Suppose -u = -3*j - 2 + 16, 4*j = 20. Let b = d - u. Sort b, -4, 5 in ascending order.\nAnswer: -4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + (14159 - 14238)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3512869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-5)\/r*r)\/r)\/r*r**2)\/(r**(-5\/4)\/(r*r**(1\/2)*r)) assuming r is positive.\nAnswer: r**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 90264 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - 1d?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -216427370*a**2*d**3*l**2 - 4*a**2*d**3*l + 102709*a*l - 24*d**3 - d**2 wrt l.\nAnswer: -432854740*a**2*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -151, -246, -347, -454, -567, -686?\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/115*(-30)\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/16 - (-3)\/12. Let p = 31 + w. Let k be 3\/(-12) - p\/8. Sort 5, -5, k in ascending order.\nAnswer: -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 25*y**2 - 16*y**2 + 41*y**2 + 10*y**3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49056 or 1\/30?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-472.72.\nAnswer: -236.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 59600.\nAnswer: -3\/11920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*i - 260 + 260 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 12 = 2*f + 2, -7 = -s - 2*f. Let b(v) = -v**2 - 1. Let w(r) = 7*r**2 - r + 103. Let n(t) = s*w(t) + 6*b(t). Is n(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/115, 3, -6, 1008?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3*f + 366, 371 = p + 2*p + 2*f. Let s = -119 + p. Solve v + 4*b = 4*v - 35, -s*v - 5*b = 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 7*t**2 - 11*t + 13. Let u(p) = -13*p**2 + 23*p - 26. Let c(s) = -7*b(s) - 4*u(s). List the prime factors of c(7).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405 (base 11) in base 10?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 5*k**2 - 88*k + 161*k - 83*k.\nAnswer: 5*k*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40 and 6.900573?\nAnswer: -276.02292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h**2 + 10*h**2 + 429*h**3 + 46*h**2 - 437*h**3 as o*h**3 + m + r*h**2 + u*h and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2203 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2 - 2.6. Which is the second smallest value? (a) 0.4 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.3 + 15. Let w = -2.4 - m. Let o = 0 - -0.2. What is the closest to -2\/3 in o, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**2\/9 + 169096*h\/9 - 3389120 = 0.\nAnswer: -84728, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 390 - 188 = 2*l, -2*l = -3*p - 206. Solve 2*w = -89 + l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:16 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 707355*w + 24763550.\nAnswer: -5*(w - 35)*(w + 141506)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-30 + 30 + 129*l).\nAnswer: -258*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.08 and -44378.\nAnswer: -44377.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -3\/14 (c) 1 (d) -0.037 (e) -1 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - (28 - 5)) + (5 - 4) + 46.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 52*d - 1832. Calculate n(35).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 938 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 139 + 6f?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 45, -1, -13, 121 in decreasing order.\nAnswer: 121, 45, -1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t**3 + t**2 - 1. Let x be m(-1). Let v be 0 + 0 + 2 + x. Solve -4 = -3*f + v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 226 + -218. Solve k = 5*k + t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-5) - (-2074)\/85?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 101915924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f + 37*f = 120664748. Suppose 2*z - f - 13333809 = 3*i, 4*i + 58000010 = -5*z. What is i rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 34?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41943901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -134*y - 1738. Let p be c(-13). Solve 0 = -p*b - o + 2, 0 = -2*b + 6*o - 7*o + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.1 or -224?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94998 - 4383 = -15*t. List the prime factors of t\/(-14) - 2\/4.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-850))\/((-2)\/(1*10)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**6\/840 - 13*c**5\/420 - c**4\/14 - 451*c**2. Factor g(x).\nAnswer: -x*(x + 1)*(x + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.28, -30, -3, 0.24, -2\/5?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18352965647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 + -11 + (-58)\/(-2). Solve -4*c = y - 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 20*h**2 + 2*h + 1. Let p be 0 + -4 + 3 + 4 - 4. What is l(p)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b**2. Let k(c) be the first derivative of -c**4\/24 - c**2\/2 + 3. Let g(m) be the second derivative of k(m). Calculate r(g(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 8 (b) -5 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 2. Let q(r) = -13*r + 550. Let i be q(42). Solve -4*u + 9 = -o, m*u - 4 = 2*o - i*o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -239, -482, -725?\n\"Answer: -243*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + 2 + -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -n - 143. Suppose -12*x = -169 + n. Calculate the least common multiple of x and 1\/(14\/(-15) - -1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002102 - -102?\nAnswer: -10002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 553021496?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 2)\/(0 + -1)*0. Suppose 133 = 7*i - x*i. Calculate the remainder when 92 is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177035, -177030, -177023, -177014?\nAnswer: -177003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 219707.1 days in milliseconds?\nAnswer: 18982693440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 88*u**2 - 33*u - 33. Let l(w) = 11*w**2 - 4*w - 4. What is 4*h(f) - 33*l(f)?\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/3 + 6*(-8)\/16. Suppose 80*q - 3*q**2 + 4*q**2 + f*q**2 - 8*q**2 - 140 = 0. What is q?\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 763 = k - 179, k = -3*b + 907. List the prime factors of k.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) -1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 30. Let b be a(15). Suppose c + 4*c + 5*u - 45 = b, 0 = -5*c + 4*u. Suppose -10 = 4*n - 2. Put -6, n, c in increasing order.\nAnswer: -6, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6484 from 5.\nAnswer: -6479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387256 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -18, -29, -40, -51, -62?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -184 - -203. Solve 0 = 3*a + 13 - z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5366 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.82466t to grams.\nAnswer: 47824660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**3\/8 + 303*g**2\/8 - 1149*g\/8 - 1455\/8 = 0.\nAnswer: -1, 5, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xezssssz. What is prob of sequence ssxe?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30.7 - 19.4. Let z = 12 - f. Is -1 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 0*c + 0*c**4 - 4\/7*c**7 + 0*c**6 + 0*c**5 + 0*c**2 + 4\/3*c**3 + 3. Find the third derivative of s(o) wrt o.\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0 = -8. Let x be j\/(-6) - (-13)\/3. Suppose 5*s + 4 + 1 = -2*u, -3*u + 4 = -4*s. Solve m - x = -u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*t = -16*a - 345*t - 122, -3*t - 36 = 3*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-9) - (-106)\/3. Let m = 45 + n. Let d(u) = u**2 + 4*u + 5. Let i be d(-5). Calculate the highest common factor of i and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 14 - 225. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*g - 70. Suppose -3*f = 4*k + g, 5*k - 5*f + 2 = -8. Suppose n + 0*t + 22 = -5*t, 0 = -3*n + 4*t + 10. Put -1, k, n in increasing order.\nAnswer: k, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5*v = -23, 31 = -365376*q + 365381*q - 4*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7142 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2679, 3235, 3791, 4347, 4903?\n\"Answer: 556*r + 2123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -73.344*84\nAnswer: -6160.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4 - 2. Suppose g*t + 25 = -4*d, 2*t - 1 = 2*d + 1. What is the units digit of (-28)\/t + 2\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 16*r**2. Let t(n) be the second derivative of -n**4\/12 - 76*n. Determine t(h(o)).\nAnswer: -256*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4586920 divided by -229346\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 - -68. Is 4 a factor of (-3)\/(-1) + (-46)\/y*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g + 891 = t + 9*g, -2*t + 1782 = -5*g. Is t a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22378 at least as big as 22381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 24\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, t: 1, c: 1, g: 1, i: 1}. Give prob of sequence ig.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.3 (b) 8 (c) -62 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 11*i**2 - i - 12. Calculate f(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 482041 and 275452?\nAnswer: 1928164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 358*h - 46077 + 28177 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 568\/(-12) - (-8)\/(-12). Is c\/12 - (-291)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -11, -37, -85, -161, -271, -421, -617?\nAnswer: -865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 611.7 + -119.7. Let n = d - 501. Which is the second smallest value? (a) -1 (b) -1\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, v: 2, i: 5, h: 1, r: 4, q: 2}. What is prob of sequence hqiv?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4 + 17*z**2 + 4*z + 1 + 38*z**2 - 45. Is m(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20317795584 + 20317795584 - 6*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 4)\/((-3)\/(-30)). Let l = 21 - a. Solve 3 - l = -4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**6\/120 - n**5\/20 - n**4\/6 - n**3\/3 + 26*n**2. Let y(v) = 2*v**3 - 6*v**2 - 9*v - 5. Determine 9*j(x) - 4*y(x).\nAnswer: x**3 - 3*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14280797?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**2 - 47*w - 739. Calculate s(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueueuuuuuueueu. What is prob of sequence uue?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -9 - (-38 + 51)) + 1 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101 + -10001?\nAnswer: -1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256913*p**2 + 128452*p**2 + 128459*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j - 3. Let z be k(2). Suppose l + f + 1 = 0, -z*f + 8*f + 1 = -l. What is the nearest to -0.1 in -3, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -9. Suppose 0 = d*j - 4. Let m = 3 - j. Which is smaller: m or -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = -3*k + 476. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/4)*u)**(-1\/22)*u**(-3\/8)*u\/((u\/u**(1\/6)*u*u)\/u))\/((u*(u**(1\/4)\/u)\/u)**27\/(u\/(u*u**0*u))**(-32)) assuming u is positive.\nAnswer: u**(1681\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {h: 2, i: 5, e: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6419 and 262.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 229\/22 (b) 437 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 892 bigger than 893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5834 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23880 is divided by 5967?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppv. What is prob of picking 1 v and 1 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -346, -519?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39585 is divided by 535.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6016.5*-0.9731\nAnswer: -5854.65615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -10*w**2 + 10*w. Suppose -4*x = n - 25, -2*n - x = -4 - 46. Suppose 6*h + n = h. Let d(m) = -3*m**2 + 3*m. Give h*c(v) + 16*d(v).\nAnswer: 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 10) to base 12.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-12) + 1\/(-3). What is the units digit of b*3*-2 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 203412069 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from swwwgwhgwwhgg?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 86 + 342 = 0. Suppose -6*w - 496 = -4*h - 2*w, 4*w - 16 = 0. Is k at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 82995728 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 - 41. Suppose 4*a - 4 = -m*y + 4, y + 4 = -4*a. Let t(r) be the second derivative of -2*r**3\/3 + 5*r**2\/2 + r. Determine t(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/7)*k*k*((k*k\/k**1)\/k*k)\/k*k)\/(k**(-1))**(1\/16) assuming k is positive.\nAnswer: k**(279\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222678 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2265029*c**2*v**3 + 266363*c*v - v**3 wrt c.\nAnswer: -4530058*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1401234414 (base 5) to base 7\nAnswer: 42042440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(1 - 2) - -159. Suppose -64 = z + 33. Let u = c + z. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -13*g**2 + 5*g**3 + 3*g**3 + 13 - 4*g**3. Let q = 17 - 11. Let j(z) = 4*z + q - 4*z - 6*z**2 + 2*z**3. Calculate 6*a(o) - 13*j(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, j: 3}. What is prob of sequence cc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*c + 2*x + 4, -3*x - 13 = -c. Let d be 8\/((24\/(-33))\/c). Let t = -41 - d. Solve y = t*y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -628 + 307 + 307 + i**4 - 4*i**2 + 2*i**3 to j*i**2 + s*i + t*i**4 + x + d*i**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-6*((-305)\/(-50) + -6). Suppose 20 = 3*n + n. What is the smallest value in 2\/11, n, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1086697\/150 + 36229\/5. Find the common denominator of q and 5\/14.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y + 5 = 0. Let c = 263\/4 - 65. Let q = -0.6 + -1.4. What is the nearest to 2\/3 in c, q, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 23*o**2 - 34. Let j = -39 - -41. Let l(v) = 24*v**2 - 39*v**2 - 30*v**j + 67. Let z(h) = 3*l(h) + 5*y(h). Differentiate z(p) wrt p.\nAnswer: -40*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -25*l + 39. Let f(i) = -i - 2. Let b(c) = 14*f(c) + 2*o(c). Differentiate b(d) wrt d.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.17+-2718171\nAnswer: -2718170.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/21017, 3457, -2?\nAnswer: -2\/21017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110029178?\nAnswer: 2, 7, 109, 72103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5299.\nAnswer: 7, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*n = -42*n - 582. What is the remainder when n is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/3)\/v**7*v*v\/v**(-8)*v*v\/v**(-2\/11) assuming v is positive.\nAnswer: v**(182\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + 59*o + 26. What is the tens digit of n(-36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45243 or -45244?\nAnswer: -45244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9071 is divided by 101?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 112.6 (b) 3\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lg when two letters picked without replacement from {l: 1, g: 2, s: 4, c: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 92.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(693)*2)\/sqrt(11) - sqrt(63)) + 4) + ((1*sqrt(441) + sqrt(441))*-6)\/(sqrt(567) - sqrt(567)*-2).\nAnswer: 24 + 50*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/69594 and -33\/33140.\nAnswer: 695940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 179536 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 34 + 20. Suppose 30 = 5*w - 5*b, -2*w - 5*b - u = -6*w. Solve -h + 12 = w*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -20. Let k(p) = -5*p + 1. Determine i(z) - 2*k(z).\nAnswer: 10*z - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-16)\/3)\/((-478)\/342009)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1474, 2945, 4412, 5875, 7334, 8789, 10240?\n\"Answer: -2*s**2 + 1477*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*z + 3*p - 98517 = -96*z, -2*p = -5*z + 54750. What are the prime factors of z?\nAnswer: 2, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 127265090.\nAnswer: 127265089.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*r = -7082 + 714 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00119983 rounded to five decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 3\/4*n**5 + 1\/6*n**3 + 0*n**4 + 0 + 22*n + 0*n**2. What is the second derivative of u(m) wrt m?\nAnswer: 90*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-3)\/2) - 8. Let y(u) = -13*u**2 - 47*u - 45. Let h(k) = -3*k**2 - 12*k - 11. Let r(w) = 9*h(w) - 2*y(w). Is r(d) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*q + 2*p + 10, -p = -2*q - 16. Let d be 2\/4 - q\/12. Is (d - 0) + (14 - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 136 - 69 - 68 - 3*u + 8*u. Let m be -2 + 10*-1 + -1. Let t = 18 + m. What is j(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 11 (b) 4 (c) -3 (d) -0.052 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 4*d + 2*d. Suppose d*v - 25*v + 4620 = 0. Is 23 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*s = 671 - 72, -5*o = s - 2974. Let l(g) = 424*g**2 - 813*g. Let x be l(2). What is the greatest common divisor of o and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*w**2 + 84 + 245 - 124 + (w + 3*w - 2*w)*(0*w + 0*w + w).\nAnswer: -13*w**2 + 205","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*sqrt(315) - sqrt(140)*-5)\/((sqrt(700)*-1 - sqrt(700)) + ((sqrt(7) + sqrt(63))*2 - sqrt(7))) + 0.\nAnswer: -19*sqrt(5)\/13 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 189167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 + 38 + 1 + (5 - 15) + 16)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 562 = -4*a, -3*a + 2*k + 91 = -325. Find the common denominator of ((-3)\/21)\/((-8)\/a) and 250\/(-36) + (1 - 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15569 - 5013. What are the prime factors of m?\nAnswer: 2, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 60. Let z = 20.0018 - k. Round z to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 105 - 42. Let y = 98 - n. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0095 + -61.0905. What is z rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235829 (base 14) to base 5\nAnswer: -302044341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/(-4) - (71 + (-3087)\/42).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/215343 and 27\/17.\nAnswer: 3660831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(209) + -6*(sqrt(209)*2 - sqrt(209)) - sqrt(209))\/(5*sqrt(66)\/sqrt(6))*-1)**2.\nAnswer: 684\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 100737.2404169?\nAnswer: 100738.2404169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/10)\/((-3)\/105*-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5159714 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 18*v**2 + 15*v + 3. Let w(b) = -18*b + 1. Let j be w(1). Let n be z(j). Let m = -35 + n. Solve -m*f = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 11*p**4\/12 - 7*p**2\/2 + 3*p. Find the first derivative of i(r) wrt r.\nAnswer: 22*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 3)*(0*n**3 + 0*n**3 + 4*n**3).\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from {n: 2, s: 6, f: 3, c: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1066273492 to the nearest integer?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 9. What is the remainder when 33 is divided by o(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199244, -199244, -199242, -199238, -199232, -199224?\nAnswer: -199214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 105*7\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 + -30. Let d(f) be the first derivative of 0*f + 0*f**2 - 3\/4*f**w + 2 + f**3. What is the third derivative of d(i) wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93)\/62*(-8)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75599 is divided by 25198.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 14*q + 31. Let b(x) = 2*x + 4*x + 3 + 2*x**2 + 2*x**2 - 5*x**2. What is the remainder when h(-14) is divided by b(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + -35940*(-60)\/79920?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 12:16 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*t = -0*t - 2, -2*t + 26 = -3*w. Is (-4 - 56\/w)*6 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 36 (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -29*f**4 - 31*f**3 - 21*f**2 + 19*f + 20. Let p(h) = -460*h**4 - 495*h**3 - 335*h**2 + 305*h + 320. Let u(i) = 95*m(i) - 6*p(i). Factor u(g).\nAnswer: 5*(g - 1)*(g + 1)**2*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + 50. Find the second derivative of -56*s**2 + q*s**2 - 27*s**2 + 6*s wrt s.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -43. Suppose -21*m - 4696 = -w*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 74, 105, 138?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 580, 1349, 2426, 3811, 5504?\nAnswer: 7505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 7:54 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06622808 minus 0.1219?\nAnswer: -0.05567192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**4 - 2*z**3 + 9*z**2\/2 + 48*z + 58. Is v(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -17. Let u(v) = -v + 21. What is the remainder when u(s) is divided by (-19 - -24)*(-6)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - z - 5*n = 3617, -4*z + 2*n + 3614 = 0. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.785 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98071 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 6:48 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + k + 4. Let c be v(0). Suppose -2*p + 8 - c = 0. What are the prime factors of 18 - ((-8)\/p - -2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2328598616 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 r when four letters picked without replacement from {r: 6, e: 7}.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -41*f**6\/6 + f**5\/2 - 2885*f. Find x, given that g(x) = 0.\nAnswer: 0, 2\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 17, 1008511 in ascending order.\nAnswer: -1, 17, 1008511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-1 - -2) + 7 - (-798 - (-1976 - -1024))?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 24, -2 in descending order.\nAnswer: 24, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -f - 3*f, 0 = 5*b + 3*f + 37. Let t be (-3)\/(((-15)\/(-4))\/b). Sort 1\/2, -4, t in increasing order.\nAnswer: -4, 1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 221889*n*q**4 - 5*n*q**2 - 4375*n + 2*q**4 - q**2 - 2 wrt q?\nAnswer: 5325336*n*q + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -12?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*u = 119 - 112, -m - 3*u = -m + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 40 = 2*r - 5*r, -8 = 2*r. Let c = 9 + z. Suppose 3*b - p - 125 = -0*p, -78 = -2*b - c*p. What is the remainder when b is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chkk when four letters picked without replacement from {k: 13, c: 1, h: 3}?\nAnswer: 39\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/90*1308\/(-872).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 502530211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 159. Let p(h) be the first derivative of 0*h**2 + 0*h + 2\/3*h**3 - 2. Calculate p(z(v)).\nAnswer: 2*v**2 - 636*v + 50562","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 45 = -5*w + 28, -36 = -2*w + 3*d. Is 28 a factor of ((-357)\/(-35) + 1)*w\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + v**4)*(2 - 4*v - 9 + 9) - 2*v**5 + 4*v**5 - 3*v**5.\nAnswer: -5*v**5 + 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43370 is divided by 65?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (259 + -20 - -3)*(-4)\/(-8). Suppose -57 = -3*o + 9. Calculate the highest common divisor of w and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k = 3*k - 2*a, 0 = -k - 3*a. Solve -56*l + 54*l + 6 = k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -299106*w**5 + w**4 - 8*w - 138198 wrt w?\nAnswer: -5982120*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*h + 2930392 + 631946 = 815419. List the prime factors of h.\nAnswer: 7, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 4*l**2 - 4*l**2 + 3 + 5*l**2 + 6*l. Let o be y(-6). Let q be (1 - 3)\/(4\/(-30)). Calculate the greatest common factor of q and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 281, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 20165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from kbdug.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10525*l**5 + 2*l + 2425.\nAnswer: -210500*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 875 = -896 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(66)*3 + (sqrt(66) - (sqrt(66) - 3*sqrt(66)*3)))\/(3*sqrt(486)*-2 + (sqrt(486) + -1*sqrt(486))*5).\nAnswer: -7*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, g: 2, o: 3, u: 7, r: 4}. What is prob of sequence rhru?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 619681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3590 - -7818. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1155 = 105*k - 106*k. Suppose -k = 45*n - 48*n. List the prime factors of n.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 729\/26 and 27 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 + 31 = 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44298873.\nAnswer: 3, 461, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5499999*v - 2. Let g be m(2). What is g rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 5*n**2 + 5*n + 6. Let x be f(-4). Let z = -32 + 32.3. What is the third smallest value in z, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 225 (c) -3 (d) -0.292\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.6 + 89.6. Let n = 51 - z. Let y = n - -32. Is 15 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*g**2 - 20*g - 80*g**2 - 8 + 5*g + 10*g wrt g?\nAnswer: -224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 273909766 to the nearest integer?\nAnswer: 16550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -56, -232, -526, -938, -1468, -2116, -2882?\n\"Answer: -59*p**2 + p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5*5 - (23 - 23) is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49.8626 + -0.1374. What is the third smallest value in n, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6012 divided by -6?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - q**2 - 4*q + 3*q + 1 - 5 + 1 + 4. Let i be 32\/5 - (-6)\/(-15). Suppose -i*g = -3*g. Give m(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -15*i. Let c(x) = -372*x. Give c(y(r)).\nAnswer: 5580*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 2 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c + 10. Let d be h(2). Let t be d\/6*(-3)\/10. What is the third biggest value in 1\/4, t, 0.2, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-3)\/(-1))*443\/(-886)*(-5282)\/19\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1596\/25 or 64?\nAnswer: 1596\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**5\/60 - v**4\/4 - v**3\/2 - 24*v**2. What is p(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 206 + -438. Let x = 250.7 + j. Let f = x + -18.789. Round f to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 567.3128km?\nAnswer: 56731280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13356 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -86. Let n = c - -49.000046. What is n rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 108*n - 99*n + 28, -p + 7*n = -36 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -433 (base 5) to base 10\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -11*g**3 + 2*g**2 - 5*g. Let j be (-1 - -2) + (3 - 0). Suppose j*v + 10 - 3 = 5*y, 3*y = -2*v - 31. Let s be u(v). Round s to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(1 + 2) - (-2 - -33). Let f = p + 19. Let m = 186 - f. What are the prime factors of m?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36 and 119621.\nAnswer: 4306356","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.4, 4, 8\/1415, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*((sqrt(1700) + sqrt(1700) + 2)*1 + -5)*-1)**2 + -5.\nAnswer: -1080*sqrt(17) + 61276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -11*q**2 - 3*q - 7. Calculate v(-3).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37584 - 17851. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131 (base 4) in base 15?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**2. Let w(p) = 2755*p + 3. Determine w(c(y)).\nAnswer: -11020*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u**2 + 0*u**2 + 3*u**2)*(-3*u**2 + 3 - 3) + (-u**3 - u**3 + 4*u**3)*(3*u + 0*u - u) in the form h*u**4 + j*u + c*u**2 + y*u**3 + s and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*x + 5, -4*x = 3*u + 32. Let k(o) = -o - 1. Is k(u) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767389 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11 + 4*(-14 - -10). Let a(v) = -3*v**2 - 18*v + 2. Let p(f) = -f**2 - 9*f + 1. Give n*p(u) + 2*a(u).\nAnswer: -u**2 + 9*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(-7)\/((-28)\/10). Let u be -60*((-90)\/h)\/(-9). Calculate the highest common divisor of u and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 6) in base 14?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -14)\/(-4) - -1. Which is the second smallest value? (a) -2\/7 (b) -0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38\/421 - -638771\/1263. Let u = 506 - y. Which is the closest to 4\/5? (a) -4 (b) 4 (c) u (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1180 by -236.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1266 - 65*y + 1266 to the form m + p*y and give p.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*d + 43*d = -20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 0.2 (b) -3\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + (3*-3*-5*(2 + sqrt(1053) + 3))**2).\nAnswer: -10914760 - 911250*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2276384 by 2552.\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 6:59 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 34*a**2 + 3*a. Let i be v(-8). Let h = -1461 + i. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 + -71. Suppose -d = -6*d + c - 11, -d + 2*c + v = 0. Is 36 a factor of d\/(12\/4) - -181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1*-2*(-180)\/(-60).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62536376*j**2 - 1093*j - 14090 wrt j.\nAnswer: 125072752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**6\/35 + w**5\/14 - 89*w**4\/42 - 61*w**3\/21 + 30*w**2\/7 + 1043*w. Solve z(l) = 0 for l.\nAnswer: -6, -1, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.1588 days in milliseconds?\nAnswer: 13578520320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 1040?\nAnswer: -1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1237079.6310547 + -4.\nAnswer: 1237075.6310547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**10*v**7*v**(-2\/19)*v*v*v**(-2)\/v)**(-48))**44 assuming v is positive.\nAnswer: v**(-637824\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -118 - -117. Let x(w) = 2*w**2 + w. Let o be x(1). Let h(c) = -3*c + 9*c**2 + o*c. Determine h(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7600412 is divided by 4562?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -672, -674, -686, -714, -764, -842, -954, -1106?\nAnswer: -1304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**3\/6 + 215*r**2\/6 = 0?\nAnswer: -215, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 11*x**2 + x + 2. Let h be b(17). What are the prime factors of (-1)\/(-7 - (-22380)\/h)?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6384 - 810. List the prime factors of r.\nAnswer: 2, 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123442 by 190.\nAnswer: -61721\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/13? (a) -1\/3 (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1480 - 1675 = -5*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**2 + 21*y - 20*y - 5*y**2 as h + s*y**2 + g*y and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19 + -11 - (-2 + 3). Suppose 4*i = -5*d + j*i + 6744, -3*d + 4044 = -3*i. Calculate the highest common divisor of 25 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 1:48 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-45)\/(-12))\/5*16. Suppose -5*x + 3 = -i. Suppose 62 - 79 = -17*r. What is the smallest common multiple of r and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -183, -22, 0 in decreasing order.\nAnswer: 0, -1, -22, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 32, 224, 1 in decreasing order.\nAnswer: 224, 38, 32, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, n: 2}. Give prob of sequence nnf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hk when two letters picked without replacement from pphpzzrpzhzprk?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5a111d + -b?\nAnswer: -5a1129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-20 - (-25 - -4))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4166 by 5.\nAnswer: -4166\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + 6*(sqrt(171) + (sqrt(171)*-2)**2)) - (-4*(2*sqrt(171) - sqrt(171)) + sqrt(171))\/(sqrt(729)*2 + sqrt(729) + sqrt(729)).\nAnswer: 1297*sqrt(19)\/12 + 24612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*k - g, 0 = -k - 4*g + 1 - 2. Suppose k*d - 5 = 2*d. Suppose d*u + b - 15 = -2*b, 2*b - 10 = 3*u. Solve u*c = 2*c + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006282 rounded to six decimal places?\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 9, 0.3, -0.5, 3, 73?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 279\nAnswer: 1\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -348*j*p**2 + 14789*j + 11*p**2 wrt p.\nAnswer: -696*j*p + 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39479787 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3. Calculate the remainder when w + (-118)\/6*-3 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*y - 347*y - 570 = 0 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 + -2)\/(3\/2). Let l be 2\/(2\/9) - 2. Let x(s) = 8*s + 7. Let a(q) be the third derivative of 7*q**4\/24 + q**3 - 6*q**2. Give i*x(u) + l*a(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - 13 - (133 - (155 - 129)).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -14*r - 125. Give u(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -11*l - 14. Let u be ((-96)\/135)\/8*5\/l. Which is the closest to -1\/3? (a) 0.1 (b) 0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**2 + 28*s**2 - 20*s**2. Suppose 0 = -5*c + y + 11, 14 = 5*c + 2*y - 6*y. Let x(a) = a**2 - 2*a**c - 3*a**2. Determine j(x(r)).\nAnswer: 48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -90, -80, -66, -48, -26?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 6. Let f be x(-8). Let v = 8735 - 8736. Put -3, v, f in descending order.\nAnswer: v, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9361 + -9361.009129. What is w rounded to four decimal places?\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44 - 39 - (-2)\/1. Put q, -5, -11, -4, -2 in ascending order.\nAnswer: -11, -5, -4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 75 = -0*f. Let d = f - -25. Let s(a) = 2*a - 1. Let k be s(1). Sort k, d, -2 in ascending order.\nAnswer: -2, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -45216 and -26 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r - 4. Let j(q) = -q + 10. Let z be j(8). Suppose g = -4*o + 11, 0*o = 3*o - z*g - 22. Suppose -o*x - 14 = -2. What is y(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, 3, 0, -94 in descending order.\nAnswer: 6, 3, 2, 0, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n - 37. Suppose -37 = -3*c - s - s, -3*c + 2*s + 41 = 0. Let k be f(c). Is 19\/38*1876\/k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.1 (b) -0.2 (c) -2 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 32191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12454 divided by -12454?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vppppvvvppvpvpvqvvp. Give prob of sequence vpq.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from kjuuukuekuuu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*a - 41*a + 2235 = -100*a + 39*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(13) + sqrt(65)\/sqrt(5) + -4 + sqrt(13))**2 - (-4 + -2*sqrt(13) + sqrt(13))).\nAnswer: -23*sqrt(13) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcr when three letters picked without replacement from {x: 4, r: 6, p: 1, c: 6}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*b + 2*l - 538, 3*b + 2*l - 810 = 0. Let q be (-213)\/(-13) - 416\/(-676). What is the greatest common divisor of b and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103 + -109. What is the second biggest value in q, 3, 2\/11, -1\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3192 - -6083. Let x = -2104.8 + l. What is x rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(7)*-4 + -1)*-6)**2.\nAnswer: -288*sqrt(7) + 4068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 378 = -v. Let d = -57 + v. What is the greatest common factor of d and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -5\/6*v**3 + 0 + 0*v - 13\/24*v**4 - 15*v**2. Let f be x(-1). Let w(m) = m**2 - 7*m - 10. Give w(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21138*i**2*r**2*z - 2*i**2*r*z**3 - 2*i*r**2 + 1621*i*r*z**3 - 2*r**2*z**3 wrt i?\nAnswer: 42276*r**2*z - 4*r*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115 - -9. Factor 245*q**2 - 119*q**2 + q - a*q**2 - 3*q.\nAnswer: 2*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**5 - 22*i**4 + 35*i**3 + 5673*i**2?\nAnswer: -120*i**2 - 528*i + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -112*g**3\/3 + 12422*g**2\/3 + 1583420*g\/3 + 12106562 = 0.\nAnswer: -41, 10803\/56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*j*l**3*r*t**3 + 1119*j*l**2*t**2 + 19*l**3*r**2*t**3 - l**3*r**2*t**2 - l**3*r*t**2 - l**3*r wrt t.\nAnswer: -420*j*l**3*r + 114*l**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n + 5*n - 12*n. Let s be u(-5). Let m = s + 36. What are the prime factors of m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p. Suppose p = -s + 5*s - 28. Determine g so that -s + g + 2 + 3 + g**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -2*b**5\/15 - 3*b**4\/2 - 14*b**3\/3 + 47*b**2. Suppose l(s) = 0. Calculate s.\nAnswer: -7\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/10 and 14\/(-136)*(-20)\/70?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 39*f**2 - 3*f - 39.\nAnswer: 3*(f - 1)*(f + 1)*(f + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, p: 2, f: 2, s: 5, v: 4, k: 2}. What is prob of sequence pkvf?\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -0.0709, 4, -2\/117?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1*sqrt(396)*-3)*6)**2.\nAnswer: -2592*sqrt(11) + 128448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7026, -7014, -7002, -6990, -6978, -6966?\nAnswer: -6954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25274 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 0)*(1 + 5 + 5)*(-1 + 1 - 2*d)*(-d**2 + 0*d**2 + 4*d**2) + (-4*d - d**2 + 4*d)*(1 - 2*d - 1).\nAnswer: -130*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(4)*-6*-5)\/(1*sqrt(72)*4).\nAnswer: -25*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 735151 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -2*c - 28. What is the lowest common multiple of 11 and c?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 0 - -6) + -26 - -11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(22 + 3014\/(-132)). Solve -11*t = -6*t + 3*h - 7, -2*h - 37 = -l*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*g + b - 15, -5*g = 2*b. Let i be (-2 + 1)\/(1\/(-5)). Let y(m) = -i*m + g*m + m. Let q(z) = -3*z. Determine y(q(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q + 8\/3 - 2\/3*q**2.\nAnswer: -2*(q - 2)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 15*j + 425. Let t be r(-28). Which is the closest to 0.1? (a) -0.9 (b) t (c) -2 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**3 + 2992*z**2 + 5996*z + 3000 = 0 for z.\nAnswer: -1, 750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 28*a**2 - 30*a - 14. Let q(t) = -10*t + 51. Let n be q(8). Let p be v(n). Calculate the highest common factor of 135 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 8952?\nAnswer: 8951.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nssi. What is prob of sequence ssin?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c. Let n be z(0). Suppose -2*g - 3*l + 67 = -n*g, 0 = 2*g + 2*l - 62. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-12 - -16 - (1 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 149689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5394 + 2975 - 971 = -386*u + 7418 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + -1001?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 + p)*(-2*p - p**2 + 2*p) - 4*p + 4*p - 2*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/27*(0 - -3). Differentiate 4*b**i + b**3 - b**3 - 3*b**4 - 3 with respect to b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 7682900*a**3 + 14756745785398*a**2 + 29513468522100*a + 14756730419601.\nAnswer: (a + 1)**2*(a + 3841449)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p. Let t = -2232 + 3167. Let q(k) = 11*k**2 + t - 935. Give q(r(x)).\nAnswer: 275*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113\/3 - -39. Let m = 27.101 + -22.101. What is the smallest value in m, -70, 0.1, o?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7633, 15325, 23021, 30721, 38425, 46133?\n\"Answer: 2*j**2 + 7686*j - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 + -61. Let z be 4\/6*(-22 + 7). Let o = z + a. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*p - 55*p - 12. Solve -2*v + 3*v = -p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/145 and -5\/1277827.\nAnswer: 6389135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/3)\/2*120\/192)\/((-275)\/4510).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.0043.\nAnswer: -0.00129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 26155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09 < -19\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -41*u + 1. What is d(-1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - r - 1 + (3*r - 3*r + 2*r)*(3 + 1 - 6) - 13*r + 25*r + 9*r + 46*r - 77*r - 102*r.\nAnswer: -117*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u - 124. Let o(a) = -138*a. Determine h(o(t)).\nAnswer: 276*t - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10852 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1038080 + -0.145.\nAnswer: -1038080.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or 67?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2822304?\nAnswer: 2, 3, 29399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-1)))\/(b**13*b) assuming b is positive.\nAnswer: b**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 10 - (-2 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/17, -1, -938, -1\/404?\nAnswer: -938","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1157 is divided by 166?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2437 + h**2 - h**4 - 2432 + 3*h + 11*h to n + i*h**2 + f*h + z*h**4 + k*h**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*c = 371*c + 1840 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-2520)\/219) + (-9)\/30.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10779.1 and -795070.\nAnswer: -805849.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1311, -2623, -3935, -5247, -6559?\nAnswer: -7871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 4 - 0, -2*r + 2*b = -18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 - -91. Suppose p*n - q = -0*n + 59, n - 4*q = 47. Find the second derivative of 16*s**4 + 46*s + 6*s**4 + n*s**4 wrt s.\nAnswer: 588*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*a**2 + 69*a**2 - 4*a**2.\nAnswer: 352*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(38)\/sqrt(18))**2 + (sqrt(19) - ((sqrt(38)\/sqrt(2)*-2 - sqrt(19)) + sqrt(19))) + (2*sqrt(19)*3)**2 + 1.\nAnswer: 3*sqrt(19) + 6469\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-3 + -76 - 0). Let g = 116 - b. What are the prime factors of g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*c + 8*c = -515 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73575 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 18*x - 869. Let n = -79 + x. Suppose n = -3*m - 2*m + 2*m. Solve m = h + 4*o + 11, -4*h + 11 = -o - 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) 2\/9 (c) -1\/14 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*o**4 - 1983*o**3 + 301794*o**2 wrt o.\nAnswer: 552*o - 11898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*t - 10*t - 47. Let p be t + 4\/(-2) - 33\/(-33). Solve 4*k - 4*y = 3 + 13, p = 2*k + 4*y - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.17 + -0.1635. Round l to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + 1)**2*-3 - (sqrt(176)*-1)**2*1) + 0 + (sqrt(176) - (6*(sqrt(176) - (1 + sqrt(176))))**2) + 4.\nAnswer: -739 - 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*d + 6160 = 2013 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -1. Let k = -3 + m. What is the third biggest value in k, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-1)\/(-12)*-3). Suppose 2 = i*t - 3*t. Is (t - (-1405)\/(-10))\/((-2)\/44) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4898 + 0.1898. Which is the nearest to p? (a) -15\/2 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**5\/20 + 7*u**4\/12 + 4*u**3\/3 + 9*u**2\/2 + u + 2. Let l(n) be the first derivative of y(n). What is l(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = 5*k + 12*p - 47, -189*k = -194*k - 4*p + 49 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000084876 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37890 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300)\/(((-15456)\/(-56))\/(-23)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436 (base 7) to base 3.\nAnswer: 22021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 93 - 136. Let m = 259 - 256. What is the nearest to 0 in -0.4, 0.3, m, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12566\/13 - -966. Suppose 5*z = 4*a + 7, 9*z - 5*z = 5*a + 11. Is f != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 15. Suppose 3*j - 5*w + m = 0, 0 = -4*j - 2*w + 13 + 13. Solve 4*b + 12 = -j*t, -t = -5*t + 3*b + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 535*b - 4*b**3 + 2*b**2 - 3 - 2*b**4 + 544*b - 1077*b to y*b + t*b**4 + r + w*b**2 + f*b**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 18 = z. Suppose 0 = -5*t + 4*r - 11, -5*t - 4*r + 27 = z. Solve k + t = -n + 3, -5*k + 5*n = 20 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -1087731, 1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/816875 - 1031222998\/816875. Let q = h + 1255. What is the common denominator of q and -29\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*l - 439, 509*j - 504*j - 194 = -2*l. Solve 0 = -37*d + 66*d + l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 535083.\nAnswer: 1070166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 h when three letters picked without replacement from {b: 2, f: 3, j: 2, d: 1, h: 4}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b + 20 - 68 + 1974*b**2 + 40. Is l(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-84)*3*4*5936\/1908\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 778*b**2 + 5560*b - 6336.\nAnswer: -2*(b - 396)*(b - 1)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86824626, -86824621, -86824606, -86824575, -86824522?\nAnswer: -86824441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((63\/75)\/(92\/(-460)))\/((-3)\/(-10)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1940 is divided by 47.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 2*n + 0*n + (2 - 1 + 0)*(2*n - 3 + 3) - n + 3*n + 0*n)*(-37 + 44 - 171).\nAnswer: -820*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g*g*g*g*g\/(g*g*g*g*g**(-1\/11)*g*g)*g)*g**4*g*g**7*g*g*g**(-2\/7)*((g*g\/(g*g*g*g**(2\/21)*g*g*g))\/(g*g**(-3\/4)))**(-47) assuming g is positive.\nAnswer: g**(201293\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 2*h - 4. Let z be r(4). Suppose 12 = -0*y + z*y. Suppose 3*i + 2*q - 1053 = -2*i, 4*q = -y*i + 629. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*h = -2*j - 48, 0 = -2*j - h - 51. Let r be -9 - j - 0\/1. What is the units digit of 136\/(-3)*(-27)\/r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 11*c - 784 = 0. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11837, -245, -1.\nAnswer: -11837, -245, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, 4.\nAnswer: -24, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hphphhp. What is prob of sequence ppp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r - 2. Factor -98*t + 4*t**r - 4*t**3 + 102*t - 16 + 12*t**2.\nAnswer: -4*(t - 4)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e62 (base 15) to base 9\nAnswer: -4402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 3*y**2 - 19*y - 3. What is the remainder when o(7) is divided by (-1 - (-18)\/4)*6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/68)\/(3*(-2)\/(-32))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + (2 - 15))\/(4 + -2). Sort 2, b, 11 in ascending order.\nAnswer: b, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360 = -530*i + 570*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 759. Determine h(-34).\nAnswer: 793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*(sqrt(76) + sqrt(76)*-2))\/sqrt(4) + (sqrt(2736) - (-1*sqrt(2736)*6 - sqrt(2736))))*-2*4)**2.\nAnswer: 10974400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334004?\nAnswer: 2, 11, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 3\/4, 0.2, -6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2)*q)\/(q**(-2\/51)\/q))\/(q*q**(2\/97)*q**(-2\/21)*q) assuming q is positive.\nAnswer: q**(14171\/23086)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29660 - -30504. Calculate the greatest common divisor of 28 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-12) + 19\/(-6). Let k = -29.5 - -29.3. Let j be ((-6)\/(-8))\/((-66)\/(-16)). Which is the closest to y? (a) k (b) j (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 376, 182, -8, -194?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 19. Let j(z) = z**2 - 9*z + 5. Let w be j(f). Let g be 11\/((-3)\/54*w). What is the highest common factor of g and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91886224 to the power of 1\/2, to the nearest integer?\nAnswer: 9586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Suppose 19*f - 10047 = -3150. Suppose 0 = q + f - 635. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j - 2*j - 5*j + 4*j - 6*j + j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 11*h - 36. Let s be o(11). Suppose 0 = 5*w + z - 99, 2*z + 3*z + s = 4*w. Calculate the highest common divisor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 9*k**2 - 7*k + 6. Let v be y(-8). Let d be v\/(-8) - 60\/(-16). Differentiate d*l**3 - 3 - 1 - 4*l**3 + 4*l**4 wrt l.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -252 - -374. Let u = z + -608\/5. Let v = -9\/5 - -33\/10. Which is the closest to -2? (a) u (b) v (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5495 + 5468. Sort z, 5, 8, 2 in descending order.\nAnswer: 8, 5, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131 + 138. Suppose z*g - 69 = 50. Calculate the remainder when 183 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 take away 2.747?\nAnswer: -2.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 6:17 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 5*u - 1. Let b be h(3). Solve 4*o - 4 = b*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 39377.\nAnswer: 78754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 11. What is w(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1856 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2566 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 139*y + 572.\nAnswer: -(y - 4)*(y + 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 133*a**2 + 6*a - 10. Is u(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/21, 9\/2, 3\/4, -2\/11, 31, -2\/5, -0.2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5709951?\nAnswer: 3, 13, 37, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-464)\/(-580) + 2 + 243\/15.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 433 + -432.92. Put l, 1\/5, 12 in decreasing order.\nAnswer: 12, 1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.36, 0.04, 1\/3, 1052, -22?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-12)\/904)*(-84)\/56. Solve -5*i = g - 88 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 239 = -867. Let j = i + 317. Solve 4*h - 5 = j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 divided by 212477?\nAnswer: 411\/212477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*l + 18*l - 18*l)*(-5 + 5 - 3*l**2).\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -12154 bigger than -401074\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -959*f + 9370 = 1241*f - 10430 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = s - 6478 - 21909, -2*s + 5*n + 56699 = 0. Does 163 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1897, -3268, -4563, -5782?\nAnswer: -6925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37498162\/5 or -7499631?\nAnswer: -7499631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z. Suppose z = -2*i + 5 - 3. Which is smaller: 2\/15 or i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1780 - -3646. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s**2 - 13*s - 8. Let y(g) = 7*g**2 + 14*g + 8. Let i(p) = -6*k(p) - 5*y(p). Let o be i(-7). Which is smaller: o or -1\/32?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 10, s + 2*j - 9 = -6. Solve -5*y = 3*i + 2*i, s = -2*i + 5*y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34394700, -68789402, -103184104?\nAnswer: -137578806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -18 + (-25 - -38) + -8 - -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**5 - 279*l**4 - 4233*l**3 + 10359*l**2 + 14310*l = 0.\nAnswer: -15, -1, 0, 3, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -3 + 1 + -243 + 286?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 5:41 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2))\/((-7)\/14). Let r be (-3)\/(4\/(112\/p)). What is the remainder when r*((-6)\/8 - -2) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -11*s. Let t(p) be the first derivative of 5 + 0*p**2 - 5*p - 1\/6*p**3. Let f(j) be the first derivative of t(j). Determine a(f(u)).\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 - 89. What is the closest to -14 in -2, v, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, 3, 16\/7, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2401344042 (base 5) to base 6\nAnswer: 313452004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 22850124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -94*h**2*p + 21*h**2 + 225*h*p**2 + 212*h wrt p.\nAnswer: -94*h**2 + 450*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -184041659.3 and 0.2?\nAnswer: 184041659.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**4 - 27*a - 24*a - 19*a + 80*a + 62*a**3 - 13*a as p + i*a + s*a**2 + k*a**3 + j*a**4 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/222 and -8*5\/(-240) - 23\/34?\nAnswer: 3774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78423306885 + 1103.\nAnswer: -78423305782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 5:02 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + -2 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from {b: 1, s: 3, f: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 594?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 9 = 3*s, -2*s = 2*f - 6*f - 18 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*(i\/i**1)\/i))*((i\/(i\/((i*i**(-8\/15)\/i)\/i)))\/i)\/i*i)\/(i\/i**37*i\/i**(-39)*i) assuming i is positive.\nAnswer: i**(-113\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -1d158?\nAnswer: -1d154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003735 rounded to 6 decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*v - 312 = 227 + 601 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 254331529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 16 + 30*d**3 - 54 - 17*d**3 + 15.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -5805, 3\/5, -1\/2, 38, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*q**3 - 4*q**2 + 5*q**2 - 51*q**3 - 3 - q**4 + 3*q**4 - q to the form c*q**4 + k*q + u*q**2 + h*q**3 + s and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2\/257, -17 in descending order.\nAnswer: 0.3, -2\/257, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nzqzbznnlknnl?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 6. Let w be x(4). Suppose 2 = k, -4 = -5*a - 5*k + 21. Solve -w*j + a = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.657 + -0.257. Let k be 15\/(-35) + (153\/21)\/3. What is the third biggest value in r, -2\/3, -1\/24, k?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 2*v + 5*p, -21*v = -21*v - 4*p + 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/18*(-6)\/(-20). Let g = 26 + -23. Which is the nearest to g? (a) 3\/8 (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1296 + 1301. Let h be -1*(1 - (-1 - -519)). Suppose -c*t + h + 778 = 0. List the prime factors of t.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5 - 4*r**4 + r**3 + 14*r**2 - 20*r + 8.\nAnswer: (r - 2)**2*(r - 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3215 divided by 643?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 5*a**2 - 6*a + 1. Suppose 43 = 16*l + 27. Suppose 1 + 2 = r. Let y = l + r. Calculate o(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 - (2 - (-18 - (26 - 34))).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - b**2 + 173*b**3 - 3349*b**4 - 3 + 3351*b**4 to m*b**3 + d*b**2 + y*b**4 + w + s*b and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*u - 6*u + 6, -51 = 5*g - u. Let w(c) = -2*c - 22. Let z be w(g). Let n(v) = -v**3 - v + 29. What is the tens digit of n(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29*0.21\nAnswer: -6.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 8*c = 189. Let m(t) = 2*t. Let y be m(-4). Let q = 6 - y. What is the greatest common divisor of c and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6956, -55735, -188132, -445955, -871012, -1505111, -2390060?\nAnswer: -3567667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -10 + 19*u**3 - 16*u**2 - 18*u**3 + 36*u - 3*u**2. Let n be h(17). What is the highest common divisor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -2d?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-4))\/((-52)\/104)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -207, 1, 4, -23 in decreasing order.\nAnswer: 4, 1, -23, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3355276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*t + 280. Let z = t - 16. Let q be ((-48)\/2)\/(-1)*z\/72. What is the highest common factor of 36 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/24 + (-91)\/(-147). What is the second smallest value in -0.13, -5, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-9) - (-122)\/180. Let y(g) be the second derivative of 0 + 1\/27*g**4 - u*g**5 + 0*g**2 - g - 1\/27*g**3. Suppose y(b) = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87442170 divided by 5829478.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -21*l**4\/4 + 10*l**3 - 9*l**2\/2 - 19. What is z in t(z) = 0?\nAnswer: 0, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 9:47 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4744 from -0.23.\nAnswer: 4743.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*f = -13*f + 694265. List the prime factors of f.\nAnswer: 13, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3478 - -0.0478. What is the nearest to a in 3, -0.06, 8?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) -6.94 (c) 4 (d) 3395\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 - -0.77.\nAnswer: -22.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.02 - -2. Suppose 5*k - 5*h = 0, -3 = 6*k - 3*k - 4*h. Let q be k*(-1)\/15*2. What is the closest to -2 in w, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*f = 293*f + 9306 + 12210 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1 - 2*b + 4*b + (-6 + 1 - 1)*(-15*b + 18*b + 21*b) - b + 5*b + 0*b + (1 + 2 - 1)*(-3 + 3 - 2*b) in the form t + w*b and give w.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 6:29 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -144 * 1828.6.\nAnswer: -263318.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 117 + 134 = 8*u, 4*l - 34 = -2*u. Solve -u*y + 10*t = 14*t - 15, -2*y = 2*t - 12 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 5 - (-5 + 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 3\/14*k**4 + 0*k**3 - 198 + 0*k - 4\/7*k**2 - 2\/35*k**5. Factor z(l).\nAnswer: -2*l*(l - 2)**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*n - 12 = 0, 2*f + 4*n + 2 - 16 = 0. Calculate the remainder when 41 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**34\/(k**7)**49 assuming k is positive.\nAnswer: k**(-377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.764 + -0.264. What is the nearest to -0.08 in -3\/4, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5326863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - -17. Let d = q - 44. Which is greater: d or -13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*g - 9541, 6*g - 2*g + a + 12727 = 0. Let r = -1923 - g. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 4*a - 10*v - 23, -12*v - 26 = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - (-11 - 1) - (554 + -641)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -1780 and 0.031.\nAnswer: -1779.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*u + 10 = -39*u - b, -13 = 2*u + 3*b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttiiinyyiii. What is prob of sequence ti?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 1:03 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + ((-2 - 2) + 12 + -9 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 96222 and -5.\nAnswer: 96217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12688178 and 622.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4522210405.\nAnswer: 5, 31, 29175551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 7*u**2 - 7*u - 7. Let y be g(-6). Let s = 1.9 - 1.916. Let w = -0.216 - s. What is the nearest to w in y, 5, -6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4926805 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g + 50. Let x be h(10). Suppose 0 = 4*j + 20, d - 2*d + 5*j + 25 = 0. Solve -z + 2 + x = d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 divide 10550550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 6*d - 8)*(22 - 16 + 34)*((1 - 1 - 2)*(5 - 2 - 1) + 1 - 3 + 5) as s*d + b and give s.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**5 + 8*g**4 + 2*g**3 - 2. Let x(n) = 9*n**4 + 3*n**3 - 3. Suppose l = -4 + 1. Let d(o) = l*f(o) + 2*x(o). Let d(u) = 0. What is u?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255, 999, 2233, 3951, 6147, 8815?\nAnswer: 11949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, c: 13}. Give prob of sequence cjc.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*b - 20. Let o(x) = -x**3 + 13*x**2 + 48*x + 5. Let w be o(16). Put w, -1, b in descending order.\nAnswer: w, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2854.\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*f - 19 - 26 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*z - 24, -14*j + 19*j + 4*z - 30 = 0. Solve -3*k = -k - j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/7)*n*n**8)**25*((n\/(n**(-2)*n)*n)\/(n**2\/n))\/(n**5*n*n**1) assuming n is positive.\nAnswer: n**(1465\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x - 264\/5 + 4\/5*x**2 = 0. Calculate x.\nAnswer: -1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**2\/4 + 68109*q\/4 - 68103\/2 = 0. Calculate q.\nAnswer: 2, 22701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5195 - 0.2195. Which is the closest to 0? (a) w (b) -2\/5 (c) 4.8 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12720325 divided by 5?\nAnswer: 2544065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71481555?\nAnswer: 3, 5, 283, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 443, 886, 1331, 1778, 2227, 2678?\n\"Answer: c**2 + 440*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 9 - (0 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-5)*20\/(-6). Let b be s*1\/(-2)*-1. Let h be ((-180)\/b)\/(3\/200). What is h rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 721*u - 1570. Let x be m(3). Solve -x*o = -591*o - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3))**(-2\/63)*(p*p\/p**(1\/2))**(-1\/64)*(((p*p**(-3\/4)*p)\/p)\/(p*p*p*p**(-5)*p*p*p))\/(p\/p**0)**(-3) assuming p is positive.\nAnswer: p**(53609\/24192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76) + (sqrt(76) + sqrt(76)*-2*1 - sqrt(76)) + sqrt(76) + sqrt(76) - sqrt(76))\/sqrt(4).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131572691\/3655 - -35998. Let s = -157153\/43860 + o. Find the common denominator of -17\/12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 409\/3405 + 3\/227. Let t = -560 - -559.669. Let m = t + 0.031. What is the third biggest value in s, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -616 - -56?\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2)*(11 + -12). Solve -a + d = -0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 + 67*a - 5. Let c(i) = 2*i**2 + 33*i - 3. Let g = -5971 - -5966. Calculate g*c(z) + 3*h(z).\nAnswer: -z**2 + 36*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - h = -3, -s + 2 = 4*h - 1. Suppose -s*w - 44 = w. Let p = w - -23. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 - 8*t**2 + 8. Let c be m(4). What is the second derivative of c*f**5 + 5*f**2 - 38*f**5 + 35*f + 7*f - 6*f**2 wrt f?\nAnswer: -600*f**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-220913)\/(-2233) + -99 + (-553)\/(-29) + -2)*-2?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48698 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -33996 (base 13) in base 5?\nAnswer: -11001133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 313423859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6508840 divided by -1627210.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51188 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8886\/(-532)*(-4)\/(-18). Let l = 48380\/1066527 + -2\/8019. Let g = d + l. Calculate the common denominator of g and -11\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7661116 is divided by 63.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 1:56 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/8 and -55\/19452616.\nAnswer: 19452616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1311 - -13965?\nAnswer: 15176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9131288.\nAnswer: 2, 29, 39359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/(-3))\/(-19)*2\/((-128)\/1072)?\nAnswer: -67\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1929796 and 1447347.\nAnswer: 5789388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 30 - 2 = 2*b, -3*o + 92 = 5*b. Let f = 24 - b. Calculate the least common multiple of 1 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3037385?\nAnswer: 5, 13, 83, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50141 or -50142?\nAnswer: -50141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 5*j**2 - j + 1. Let u be y(-3). Let n = -14 + u. Calculate the least common multiple of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**4\/7 - 2*a**3 + 18*a**2\/7 + 2*a - 16\/7 = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-4) - 3\/(-12). Let r(c) = -4*c**w + 12*c - 7 + 2 - 20*c - c**3. Is r(-5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + m + 176 = 0, -3*j + 5*m + 39 = 139. What is the tens digit of (-10)\/j - ((-36900)\/21)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40351 (base 8) to base 6.\nAnswer: -204533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -839466.3319853 + 839501.332. Let t = -35 + q. What is t rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1712762 + -28?\nAnswer: -1712790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6)*1\/((-105)\/(-20)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 4*k + 37. Let v(p) = -p**2 + 10*p + 74. Give 5*h(o) - 2*v(o).\nAnswer: -3*o**2 + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, e: 1, w: 4}. What is prob of picking 1 w and 1 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20445 divided by -6815\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 2573. Let r(a) = -3*a + 5147. Let z(u) = -5*d(u) - 2*r(u). Let b be z(0). Suppose -b + 207 = -4*m - 4*f, -4*m = -f - 2344. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0*s + 2*s)*(-s + 2*s + s) + 1 + 0*s - 2*s**2 + 0*s + (-14*s**2 + 3*s**2 + 6*s**2)*(-4 - 1 + 1).\nAnswer: 16*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35.64327229 - -0.53389529. Let p = -46.1093646 - m. Let t = p - -11. What is t rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 0, -4, 1, 38, 17, 52 in decreasing order.\nAnswer: 52, 38, 28, 17, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -4 - (-29 - -27)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.086168606\nAnswer: 0.0086168606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 273\/(-35)*378\/108*(-10)\/84\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(4\/7)\/z*z*z**(-1\/32)*((z**(5\/4)*z)\/z)\/z**(-2) assuming z is positive.\nAnswer: z**(849\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 49\/5 of a day?\nAnswer: 14112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 213700 or 0?\nAnswer: 213700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**2 - 6*a - 7. Let p(k) = -6*k**2 - 7*k - 8. Give 6*p(t) - 7*w(t).\nAnswer: -t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 31*z**2 - 67*z - 150. Give o(33).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**5 + 54*v**4 - 842*v**3 + 114*v**2 + 13320*v + 12312 = 0.\nAnswer: -38, -3, -1, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 57*b**2 - 60*b + 52. Give t(1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -486096 divided by -494\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from zzzmzvzzzzzvzzvzz.\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**2 - t - 13. Let z(a) = -14*a**2 + 3*a + 38. Let x(l) = 11*n(l) + 4*z(l). Determine x(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2107, -2109, -2111?\nAnswer: -2113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 72 - 3ab?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 + 1.8. Let m = g + 11.3. Is -2 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 33 (b) -1\/4 (c) -6 (d) 47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.1245kg in micrograms?\nAnswer: 19124500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072634 to the power of 1\/2, to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3710107*v**3 - 101*v**2 - 388*v - 3 wrt v.\nAnswer: 22260642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 353488111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3*u + u)*(-2*u + 4*u - u) - 303 + 30*u**2 + 303.\nAnswer: 29*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -32 + (-14 + 10 + 6 - -15 - 5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*s**3 + 17*s**3 - 12*s**3 - 2*s**3 - 5*s + 5*s + (-46 + 49 + 36)*(-3*s**3 + 3*s**3 + s**3).\nAnswer: 76*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -11 - (-1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0 (c) -2\/23 (d) -0.1 (e) 28 (f) -16 (g) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.865609 to the nearest integer.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/5)*x)\/x)\/(x*x\/x**(-21)))\/((x**(-6\/11)*x)\/(x**(-3\/5)*x)) assuming x is positive.\nAnswer: x**(-258\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -81*q**4\/16 + 57*q**3\/2 - 73*q**2\/8 + q - 129. Suppose a(d) = 0. What is d?\nAnswer: 1\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31644 and 253152.\nAnswer: 253152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 1)*-2*-2 - 1*((sqrt(3) - -2*sqrt(3)) + -1))**2.\nAnswer: 10*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*u + 0 - 1 = 0, -3*m + 3*u = -15. Suppose -4*s = -m*b + 32, 2*s - 4*s = -5*b + 34. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.687267 to two decimal places.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238452356?\nAnswer: 2, 3, 31, 3329173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(6\/1)*(-15)\/135*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3144 = 110*d - 104*d. What are the prime factors of d?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -3\/8, -5, -1\/2, 216?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 767943 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/4 + 107*m**3 - 7485*m**2\/4 + 8884*m - 7120.\nAnswer: (m - 8)**2*(m - 1)*(m + 445)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3 + 368\/124). Let i = 47 + a. 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: Simplify (((c**(-1\/9)\/c)\/c)\/((c*((c**7\/c)\/c)\/c)\/c))\/(c*c\/(c\/(c*c*c**(1\/5)\/c*c*c*c*c*c))*c*c**(-1\/7)) assuming c is positive.\nAnswer: c**(-4463\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56 or -49?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 0.3 (b) -10 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 379701668228 from 3.5.\nAnswer: -379701668224.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -11, 12 in increasing order.\nAnswer: -11, 1\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 290682 by -63.\nAnswer: -4614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -635*p**2 - 673*p**2 + 1317*p**2.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (7 - 4) - 4) + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 25 (b) -12 (c) 2\/213 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33099 is divided by 16543.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2466\/6576 + (7 - 1)*(-6)\/128. Suppose 5*t - 5 + 0 = 0. Is t less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/10 - (-72)\/(-15). Let l(p) = p**3 + 4*p**2 + 2*p + 5. Let t be l(i). Let x = -19 - t. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54920747 is divided by 54920730?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-114)\/(-9)*201*(-9)\/(-6). Let k be (32\/6)\/(134\/g). Calculate the highest common divisor of k and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1686 times -103837\nAnswer: 175069182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3) + (-124)\/(-6)*-1. Let u = r + 14. Let m = 0 - u. Solve 0*y + 2*y = 4*f - m, 15 = -5*y + 5*f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + -2. Let x = 5 + s. What is the second smallest value in x, 3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 11. Let c be (s\/2 - 1) + -2. Suppose 0 = -2*n - c*n + 224. Is n a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15 - 15)\/(2\/(-1)). Suppose -5*z + 1 = 11. Let s be 1\/(-2) - (-1)\/z. Put w, -4, s in decreasing order.\nAnswer: w, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20.405425 and 1.3.\nAnswer: -26.5270525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 - 141. Let p = d - -67. Suppose 15 = 6*u - 3*u. Solve 7 = p*g - o - 6, -g - u*o + 15 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36242735 is divided by 7248546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 442?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 5. Suppose 0 = -3*h - 4*c + 17, -5*h + 18 = -h + 3*c. Sort -5, z, h.\nAnswer: -5, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1237644 and 18.\nAnswer: 1237644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -958*d - 6 = -956*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + 1 + 42\/(-5)*-35. Let d = -1 - -1. Suppose d = 5*y - 3*v - 477, -2*y + v - x = -5*y. Is y a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5872744844?\nAnswer: 2, 6833, 214867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - v + 2*v = 12, -2*v = 2*h. Let t = h - -8. Calculate the greatest common factor of 2 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 12:53 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2. Let n(j) = j - 1. Let h(u) = -2*u**2 - 4*u + 4. Suppose 6 = -3*l - 6*a + 3*a, 0 = 5*l + 3*a + 14. Let f(x) = l*n(x) - h(x). Determine f(d(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2886576644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - m + 3. Let i be g(2). Suppose -4*d**2 - 12*d**3 - 64*d**4 - 5*d**i + d**5 + 52*d**4 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 157 + -51. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 + 2 = 4*d. Calculate the lowest common multiple of 6 and (-76)\/(-6) - 14\/d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(162) - (4 + sqrt(162) + sqrt(162) + sqrt(162) + -2))*2*-1*4)**2.\nAnswer: 165888*sqrt(2) + 1502208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - v**2 + 0*v)*((v**2 + 0*v**2 + 0*v**2)*(-2 + 2*v + 2) + (-6 - 4 + 4)*(2*v**3 + 2*v**3 - 2*v**3)).\nAnswer: 10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 - -1.05. What is the smallest value in 3, 2\/5, m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/235 and 83\/30.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 + -12 + 17 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 9*w - 1. Suppose -3 + 168 = 15*y. Let d(j) = 2*j**2 - 17*j + 2. Let u(c) = y*k(c) + 6*d(c). What is u(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 - 0.5. Let k = -3 - q. Let i be (-2)\/(-14) - (-4)\/14. Which is the biggest value? (a) k (b) -2\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 83661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13168, -12656, -12142, -11626, -11108, -10588, -10066?\nAnswer: -9542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 2*r + 6. Calculate p(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 395 = 11*v. What are the prime factors of v?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-1*(-1 - 4). Suppose 4*i = x*l - 0*l + 31, 3*i = -4*l - 31. Let b be 6\/4 - l\/2. Solve k - 4*t = -b - 12, 14 = -4*k - 2*t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) - (sqrt(220) - sqrt(220)*2)*5)\/sqrt(11))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.2 - -15. What is the nearest to q in 1\/8, -9, 2\/9?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 43 = -2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/49220 and -12\/5.\nAnswer: 49220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -21. Let i = 2 - -3. Suppose -i*c + 21 = -n. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5998 = 5993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3965157246 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 - (-10 + 1 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 970 and 89531?\nAnswer: 895310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(176) + -1 + sqrt(176))**2 + -1*sqrt(176) + 5)*-2 - (((1 + sqrt(1100))*1 + (sqrt(1100) - sqrt(1100)*-2) + 3)*5)**2.\nAnswer: -441824 - 7960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.039 greater than or equal to -4\/4499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 15 = 5*b, 0 = 5899*q - 5900*q + 5*b - 35 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-17)\/(-3))\/((-6)\/(-18)). Let k = q + -9. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2 (c) 0.2 (d) 0.5 (e) -1\/9 (f) -0.074 (g) -24\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46028 is divided by 15094?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 1. Let t(d) = -2*d**2 + 2*d + 2. Let k(i) = 2*j(i) - t(i). Let p(a) = -4*a**2. Calculate p(k(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 507 (base 14) to base 11\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r - 78*r + 5047 - 4527 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4083457011?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -3 - (18 + -17 + 9).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 88\/28 - (-2 + 5). Let t = 1 - 1.1. Let f = t + 0.2. What is the third smallest value in f, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**36*l**(1\/30))**(-12))**(-8\/3) assuming l is positive.\nAnswer: l**(17296\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*i*n*o**2 + i*n*o*t - 21*i*o**2 + 5*n*o**2 - 4*t wrt n.\nAnswer: -39*i*o**2 + i*o*t + 5*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwnbbwn. Give prob of picking 2 b and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28\/1879 - 5441\/13153. What is the fourth biggest value in 20\/9, 1\/3, 2\/77, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-3)\/45 + 65\/(-150)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 4 + 3*l - l. Let n be p(9). What is the highest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-1)\/((-6)\/4). Suppose 2*g - 614 = 4*c, 0 = -4*c - 5*g - 363 - 286. Let z = -165 - c. What is the third biggest value in 5, z, k, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760418776 minus -60.595?\nAnswer: 760418836.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1389672 is divided by 231598.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 2*s - 5 + 3*s - s - 7*s.\nAnswer: -s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.6254593 to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(-10)*m))\/m*m)\/m**(-2\/17))**27\/(m**(-3)*m**(-1)*(m*m**6)\/m**(2\/17)) assuming m is positive.\nAnswer: m**(4595\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187097444 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 - -108. What is the smallest value in k, 3\/8, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + -20. Calculate the remainder when f is divided by 5*6\/6 + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - sqrt(495)*5)\/(sqrt(11) + (sqrt(66)\/sqrt(6) + sqrt(11))*-6) + (-3*(sqrt(720) - (0 + sqrt(720) + sqrt(720))*-1)*-6)**2.\nAnswer: 14*sqrt(5)\/11 + 2099520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1581 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**2 + 0*g**2 - 7*g**2 to the form r*g + i + h*g**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 176900 rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-13)\/5)\/13)\/(((-9)\/(-3))\/3)*55.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 664*a. Let m(g) = -g**3 + 18*g + 33. Let h be m(-3). Let f(y) = -19*y. Determine h*t(b) + 208*f(b).\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -2.65654396.\nAnswer: -2.45654396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(9072))*2)**2 + (sqrt(4032) + -2)**2 + -1.\nAnswer: -672*sqrt(7) + 40339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 9 = y, -5*y - 2*l = -4*l - 99. Let a = y - 13. Suppose a = 7*v - 3*v. Solve v*s = 6*s + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2230\/253 - -96\/11. Let q = 28 - 29. Put 4, q, w in increasing order.\nAnswer: q, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + x - 2*x)*(-6*x**2 - 13*x**2 + 15*x**2) - 2*x**3 + x**3 - x**3 as k*x**3 + i*x**2 + u*x + p and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 239774 + 28167. Suppose 0 = -3*c + 6*c - 996177. Let h = l + c. Round h to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**2 - 8*r - 5. Let n(t) = -9*t**2 - 17*t - 11. Suppose 0 = 3*q - 5 - 13. What is q*n(w) - 13*c(w)?\nAnswer: -2*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.121585 litres in millilitres?\nAnswer: 3121.585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39608*j*u**3*z**3 - 24773*j*u**3*z**2 + 2*j*u**3*z - 11*j*z**3 + 6*u**3 wrt z?\nAnswer: -237648*j*u**3 - 66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/24)\/(((-5916)\/238)\/29).\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/12 + 132\/16*1. Which is the fourth smallest value? (a) 0.1 (b) -5 (c) 1\/9 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -7.\nAnswer: -7, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 24663, 98649, 221955, 394581?\n\"Answer: 24660*v**2 + 6*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 23*o = -28*o - 11, 8*o = -2*h - 20 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -1747621?\nAnswer: 1747620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259932266?\nAnswer: 2, 11, 11815103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -99*g - 16. What is the tens digit of d(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -15, -45, -95, -171, -279, -425, -615?\nAnswer: -855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -102*h + 489758 - 493634 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -16 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/3)\/o*o**7)\/((o*o*o**(-1\/7))\/(o*o\/((o\/o**(-8))\/o))))\/(o**(-1\/4)*o**(-5)\/o*o**(2\/3)*o\/o**(-5\/6)*o) assuming o is positive.\nAnswer: o**(215\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0001 - -456.0001. Let m = g + -456. Which is bigger: 241 or m?\nAnswer: 241","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3810*g + 1815. Let a(s) = -93*s + 44. Let v(x) = -165*a(x) + 4*m(x). Let o(h) = -3*h. Give v(o(u)).\nAnswer: -315*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.19, -5, -1\/8.\nAnswer: -5, -1\/8, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 437*b = -220*b - 218*b + 2, -6 = -4*b - 22 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -30073 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 6*f**2 + 83. Let s(m) = -4*m. Determine w(s(t)).\nAnswer: -48*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-28))\/(-11 - 10\/(-8)). Which is greater: 1\/4 or x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/270 and 23\/508440.\nAnswer: 4575960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20963\/19 - 1103. Find the common denominator of 1\/152 and r.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (50\/12)\/(29\/((-232)\/(-10))). Let 8\/9 + 26\/9*n + 2\/9*n**4 + g*n**2 + 14\/9*n**3 = 0. Calculate n.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 211 - 20?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7c - -670091?\nAnswer: 670140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 0*t**5 + t**2 + 0 + 0*t**7 - 1\/12*t**4 + 0*t**6 + 0*t + 1\/112*t**8 + 0*t**3. What is the second derivative of x(n) wrt n?\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**3 - 32*g**2 + 109*g + 3. Let n(z) = 2*z**3 + 16*z**2 - 55*z - 1. Let r(f) = 2*b(f) + 5*n(f). Find the second derivative of r(y) wrt y.\nAnswer: 12*y + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/18 + 22\/(-99). Let q = 356 + -354. Which is smaller: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 852513, 1705064, 2557617, 3410172, 4262729, 5115288, 5967849?\nAnswer: 6820412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 26*f + 170. Give s(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighteen fifths of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474895879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 44*f + 1204. What is r(-27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2. Let j(q) = -11*q - 1. Determine j(y(o)).\nAnswer: 22*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 396.6558ng?\nAnswer: 0.3966558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 92*l**3 + 4*l**2 - 10. Suppose -15*v - 17 = 88. Let n be z(v). Round n to the nearest one thousand.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*o - 102*o + 26*o - 97*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x - 1972. Let k(f) = -f**2. Determine w(k(q)).\nAnswer: 2*q**2 - 1972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h**2 + 3*h. Let n be m(2). Let p = 37 + n. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1001036231 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 62 = i. Let a(p) = -p**2 - 57*p + 524. Let t be a(8). Is (5\/t)\/(363\/i - 3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000581 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 1379?\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 175862775 to the power of 1\/2, to the nearest integer?\nAnswer: 13261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 i, and 1 l when three letters picked without replacement from hhiihhxhilii?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*1 - (1 - 12). Let n = s + 14. Suppose -3*m - 4*i + 149 = 0, 2*m - 187 + 65 = 3*i. Calculate the greatest common divisor of m and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**10\/5040 + g**6\/120 - g**3\/6 + g. Let a(m) be the second derivative of u(m). What is the third derivative of a(r) wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 262 - 4?\nAnswer: 25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137 + -121. Let r = 125 - 8. Suppose v = 2*j + r, -2*v - 4*j = -j - 206. What is the remainder when v is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 950 and 7.3.\nAnswer: 6935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -315*g + 1829 + 3526 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87923321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**3 + 18 - 18 - 15*x**3.\nAnswer: -23*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**6 + 5330*t**5 + 73*t**2 + 25*t?\nAnswer: 120*t**3 + 319800*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cjcjjjjjcjc.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.7 + -0.3. Let k = 1 + q. Suppose g = 3*g + 2. What is the third biggest value in 0, g, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 4:09 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 7*r**2 + 6*r + 7. Let y = -19 - -13. What is the lowest common multiple of p(y) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**3\/3 - 11*q**2 - 26*q - 11. Suppose -5*s - 31 - 44 = 0. What is the units digit of z(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/80 - 22\/(-5). Let x(n) = -n + 10. Let b be x(9). Suppose h*s + b = 9. Solve -4*t = l + 20, -4*t + s*t - 10 = 5*l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -3 (c) -2\/17 (d) -1.4 (e) -42\/4241\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57051893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0383 - 255.0383. Let j = 9541 + -9290.53. Let m = j + b. What is m rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at most -1278.8305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmbbbzbfqbbbqbmfqb. What is prob of picking 3 q and 1 m?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/5 - 268*r**2\/5 + 498*r\/5 + 792.\nAnswer: 2*(r - 132)*(r - 5)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1093497*y**4 - 4628*y**2 - 6*y + 3 wrt y.\nAnswer: -26243928*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -945 (c) -3 (d) -1\/3 (e) 0.03 (f) -116\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13947514*l**4 + l**2 + 54*l - 59577.\nAnswer: 334740336*l","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 0*m - 5*m + 30 = 0, 3*t - 2*m = -23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*m - 23 = -23. Which is the closest to 0.1? (a) -1\/7 (b) -3\/2 (c) m (d) 71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q\/(q\/(q**8\/q)))*q)\/q)\/q)\/q*q**(-5) assuming q is positive.\nAnswer: q**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*s**2 - 87*s - 36.\nAnswer: 3*(s - 4)*(8*s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9296 and 448?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*o + 6, -o + 1072*c + 2 = 1071*c. Which is smaller: o or 2\/35009?\nAnswer: 2\/35009","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 869*w - 65. Let v be u(-15). What is v rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -1\/24*t**4 - 1\/60*t**5 + t**3 + 0*t + 6 + 6*t**2. Let b(m) be the second derivative of z(m). Give b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30828?\nAnswer: 2, 3, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -24. Solve 0 = -2*w + 4*s - u - 15, -2*w - 20 = -5*s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4 = 5*x - 0, -3*x - 5*w = -10. Let a be -1*(2 - 2 - x). Solve 5*y - 15 = a, 2*y = -3*q - 0*q + 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 4*p + 46. What is the least common multiple of 8 and p?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 458.6879ml to litres.\nAnswer: 0.4586879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(306) - sqrt(306))\/sqrt(9))\/(sqrt(10)\/sqrt(5)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 260701.2 millennia?\nAnswer: 2607012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*w - 46, -3*w - 21 + 86 = 4*p. Let d(q) = -26 + w + 14 - 3*q. Let h be 0 + (-38)\/6 - 109\/(-327). Determine d(h).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1702155 divided by 1\nAnswer: -1702155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107 + 110. What is the nearest to 2\/7 in -3\/7, n, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 2*j**2 - 2*j + 1. Let z be o(0). Let w be ((2 + 948)\/z)\/((-6)\/(-156)). Round w to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 3, c: 11}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + -1?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 36575\nAnswer: 182875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 15*t**2 + 41*t - 295. What is k(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 3 + 3*b - 8*b**2 + 30*b**2 - 11*b**2 - 13*b**2 - 5. What is l(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2 - 81927924*l - 839023091368722 = 0. What is l?\nAnswer: -20481981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*1\/8)\/((-9)\/(-2))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(209) + (1*sqrt(209) - sqrt(209)))*6)\/((4*1*sqrt(110) + sqrt(110))\/sqrt(10)).\nAnswer: 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/2))**(-47)\/((t\/t**(-7)*t)\/(t*t**(-2\/5)))*((((t\/t**(-2\/9))\/t)\/t)**37)**(15\/7) assuming t is positive.\nAnswer: t**(-2807\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6729*(-2)\/(-9)*60\/40. Let f = o - 15819\/7. Which is smaller: -16 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1780131583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 12:07 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -147 - -288?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38491 divided by -78.\nAnswer: 38491\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -0.42 (c) 40 (d) 2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6 = 2*b. Suppose -60 = -2*j + b*i, -j + 42 = -i + 6*i. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-35))\/((-48)\/(-56))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqkqqqqqqqqqqqqqkq. What is prob of picking 2 q and 2 k?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**6\/240 - 9*f**5\/40 + 81*f**4\/16 + f**3 - 4*f**2 + 35. Let l(k) be the third derivative of p(k). Factor l(y).\nAnswer: 3*(y - 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15193 is divided by 5061.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374*t = 378*t + 12. What are the prime factors of (-1050)\/t + 5 + -5?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25409 - -21620. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 2:14 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m = 380. Suppose -g - 4*f = -m, 4*f + 0*f = -5*g + 491. Calculate the greatest common factor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 141 - 22?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, 5, 246, 43, 1 in increasing order.\nAnswer: -9, -4, 1, 5, 43, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**4 + 509*r**3\/4 + 31*r**2 - 381*r\/4 = 0. What is r?\nAnswer: -127, -1, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -539, -540, -541, -542, -543, -544?\n\"Answer: -f - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -1\/34*q**4 + 2\/17*q**2 + 1\/170*q**5 - 11*q + 1\/255*q**6 - 1\/51*q**3 + 0. Find n such that d(n) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-243) + 127890\/(-42282)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4b5bb2 (base 16) to base 12\nAnswer: -17a2042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d + 21. Let q be k(-11). Suppose 45*o = q*o. Let m be (o - 25)\/((-2)\/(-256000)). What is m rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1771, 5, -3, -4\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25653806?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 12 = 4. Suppose 3*s = -j + n, 0 = -3*s - 3*j + 7*j - 4. What is the units digit of 274\/s - (-2)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -51.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s - 3*s + 71*s**2 - 34*s**2 - s**3 to o*s**3 + c + i*s + p*s**2 and give p.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + o + 14. Let v(d) = d**3 - 45*d**2 - 94*d - 3. Let f be v(47). Determine t(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2131432, 2131417, 2131402?\nAnswer: 2131387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10921 = -n + 2*d, 50*d + 10929 = n + 46*d. What is the thousands digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*g**2 - 25*g**2 - 18*g**2 - 13*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1237*f**2*s**4 - 3*f**2 + 40 wrt s.\nAnswer: 4948*f**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**6\/15 + 6*x**5\/5 + 9*x**4 + 36*x**3 + 81*x**2 - 140*x + 172. Let s(v) be the first derivative of a(v). Factor s(g).\nAnswer: 2*(g + 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.24 in 5\/6, -162, 1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 2119 - 2119.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*j + 2. Let b(t) = -t**2 + 9*t - 8. Let p be b(6). Let g = j + p. Calculate the remainder when g is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5\/8, 2, 8.06607, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*u, -5*n - 4*u = 0. Suppose n = -5*s - 2*q - 530, 2*s - 3*q - 318 = 5*s. Let x = 300 + s. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3544847970 to the nearest 100000.\nAnswer: 3544800000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18928 and 44278?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 3 - -2 - 2. Let s be (-3)\/(-1) + d + 1. Find the third derivative of -3 + 4*u**5 - u**s - 2*u**5 + 3 wrt u.\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*g = -8, 3*g - 6 = -3*p - 0. Suppose -r - p = -2. Sort r, -2, 5.\nAnswer: r, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 77 and 0.8.\nAnswer: 61.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49.16 - 50. Let v = 0.26 - q. Let y = v - -2.9. Which is the closest to 0.1? (a) y (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107941?\nAnswer: 107941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6*c = 429. Calculate the least common multiple of 20 and 22\/c + 56\/26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**3 - 35*y**2 - 2*y - 266. Is i(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1128 = 7*t - 3156. What is the greatest common divisor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 416\/242351?\nAnswer: 416\/242351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -130 + 204*j**4 + 204*j**4 - 617*j**4 + 205*j**4 - 14*j**3 wrt j.\nAnswer: -16*j**3 - 42*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86*g**4 + 3*g + 27 wrt g.\nAnswer: -1032*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 0.5 (c) -4.2 (d) -0.2 (e) 14 (f) 9.1 (g) 1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-28))\/((-42)\/(-147)). Find b such that 0*b**2 + 1\/4*b**3 + 0 + 0*b + x*b**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3 + (0 - 3 + 1)*(14 + 15 - 2))*(-1 + 1 + 3*g).\nAnswer: -159*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14327877?\nAnswer: 3, 4775959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10067601.1 rounded to the nearest 100000?\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n. Let y(t) = -t + 1. Let d(k) = -7*k + 5. Let h(w) = -d(w) + 6*y(w). Let a(b) = -24*b - 20. Let g(p) = -2*a(p) - 40*h(p). What is g(x(r))?\nAnswer: 32*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 132, 158?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - 2) + (-4 - -1) + -83 + 77?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/8*(-8)\/12. Let d be (6\/10)\/((-1)\/m). Solve k - 4*s = -3*s + 1, 0 = d*k + s - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h**2 + 723*h - 156270. Give c(112).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-10) - (-10)\/4. Let m be 6*(o\/4)\/1. Let v be (-60)\/(-4) + m + -4. Solve 4*h + 4 = -3*c, -5*c = h - c + v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/9)\/(8\/9899940). Let c be (-4)\/10 - w\/(-25). Round c to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 10*r - 2*r - 13*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105038707?\nAnswer: 19, 953, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/207707 (b) -3 (c) 3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 396579.9 decades to years.\nAnswer: 3965799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400117?\nAnswer: 31, 12907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-two fifths of a microsecond?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**6\/240 - 3*o**5\/80 - o**3\/2 + 8*o. Let g(r) be the second derivative of q(r). Solve g(i) = 0 for i.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 237, 356, 483, 618, 761?\n\"Answer: 4*l**2 + 107*l + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 156 + -220. Let c = d - -64. Let s = 2.962 - -0.038. What is the biggest value in c, s, 1, 1\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 5:39 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 9:40 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 7. Suppose 2*x - 6 = -3*c, 3*x + c = h*c - 6. Suppose 4*n - 4 - 20 = x. What is the greatest common factor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87656 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -186823, -186817, -186807, -186793?\n\"Answer: 2*n**2 - 186825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3*l - 442 = -427, -5*z - l + 23 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1\/8, -441307, 4, -2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**3 + 4*j**2 + 7*j - 4. Let i(h) = 11*h**3 + 7*h**2 + 13*h - 7. Let m(y) = 7*c(y) - 4*i(y). What is the second derivative of m(z) wrt z?\nAnswer: -54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -6*n - 5 + n**2 - 10 + 6*n. Let g(p) be the first derivative of -p**2 + 5. Give g(j(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -181*k**3*p**6 - 21*k**3*p**2 + 2*k**3 - 2*k*p**2 + 2*p**6 wrt p.\nAnswer: -21720*k**3*p**3 + 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 0.3 (c) 13 (d) -0.514 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 5*n - 2. Let g be v(3). Let a = g - 4. Suppose -u = -a*u. Solve u*r + 2*r - 6 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - -91. What is the remainder when v is divided by (-2)\/(2 + (-176)\/84)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k - 3*n = -16200003, 5*n - 5 = 0. What is k rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*f + 15, -3*f + 16 = 6*i - 2*i. Calculate the remainder when f is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4\/17 - 76*h**3\/17 + 278*h**2\/17 - 12*h = 0.\nAnswer: 0, 1, 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21652 + 21714. Solve r = -m + 56 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11645568 less than or equal to 11645568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - c - 1. Let j be s(2). Let g = 291 + -281. Solve 0 = -j*u + g - 30 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u - 6. Suppose -369 = -3*y - 34*r, -27 = 33*y - 36*y + 4*r. What is the greatest common factor of y and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(637) + -2.\nAnswer: -5 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = -1. Suppose 61*p - 1 = 60*p. Solve 0 = -q*m - p - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 - 8*s + 8*s + (3*s**2 - s**2 - s**2)*(s**3 + 1 - 1) + (-2*s**4 - 5*s**4 - 6*s**4)*(-2 + 5*s + 2).\nAnswer: -66*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a hour in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 4 (b) 2 (c) 0.1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -282, -432, -582, -732, -882?\n\"Answer: -150*z - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 25*u**3 - 3*u**2 + u + 1. Suppose 5*y - 242 = 3*t - 89, 0 = 4*t - 16. Let p be (-1)\/(-6) - y\/(-18). Is c(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = -8*m + 11*c, -3*m + 2*m + 3*c = c - 27 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 4*m**2 - 3*m - 3. Let d be b(-2). Let p(s) = 2*s. Let u be p(d). Let y = -7 - u. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.1*6.82\nAnswer: -41.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 571535207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011000100000001100 - 101?\nAnswer: 10011000100000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29014)\/5705 + 14\/(-2) + 12)*-10.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.85, 2\/7, 0.4, -70, -7, 10 in descending order.\nAnswer: 10, 6.85, 0.4, 2\/7, -7, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -41. Does w = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.154 - -0.075. Let i = r - 0.129. Put -22, 4, i in descending order.\nAnswer: 4, i, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 9*j**2 + 6*j + 8. Calculate z(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2. Let p(k) = -5932*k. What is y(p(o))?\nAnswer: -35188624*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -8, -15 in ascending order.\nAnswer: -15, -8, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 39. Let w = 39 + l. Let g be (-2)\/w + (-65)\/(-105). Which is the closest to 0? (a) -2\/3 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 72*(-48)\/(-2955) + 6\/(-5). Are l and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11722 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y**2 - y**3 - 7*y - 1 + 3 - 7 + 0*y**2. Let p be c(-6). Is (10\/(-15))\/(p\/(-90)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8932 = 98118*j - 98930*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, r: 1, f: 11}. Give prob of sequence rnf.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1453634 divided by -15974\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 325262100*f**2 - 350252393 wrt f?\nAnswer: 650524200*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 15 + 0 = 5*c, 12 = -5*m - 4*c. Suppose a + 4*a - 60 = m. Suppose -2*w = 4 - a. Solve 20 = -w*u + 8*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0 (b) -0.1 (c) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0\/(((g\/(g*g*g**(-11))*g)\/g)\/g))\/((g\/(g\/g**7))\/((g*g*g\/(g*g\/g**(1\/2)*g))\/g)) assuming g is positive.\nAnswer: g**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*v = 2, 1045*v - 1049*v = -3*k + 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 6*l**2 + l - 8. Let b be a(6). Let m be (4\/(-6) - b)*9. Suppose 4*c - m = 8. Solve -c*p - 15 = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-6))\/((-2)\/6). Let t be 1\/q - 1*-1. Which is bigger: 2\/9 or t?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 at least 387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -524 by -6092.\nAnswer: 131\/1523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*p - 5*s + 121, 4*p - 59 = -5415*s + 5412*s for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(7\/((-70)\/(-135))). Suppose 2*y = 5*o - 4*o + 1, 4*o + 4 = -4*y. Which is smaller: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-25325965.4.\nAnswer: 126629827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-125 - -161) - (-35)\/468?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 374, 357, 334, 305?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4613567429, 4613567430, 4613567431, 4613567432, 4613567433?\n\"Answer: k + 4613567428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (160*g**2 - 4*g - 83*g**2 - 82*g**2)*(2*g**2 - 5*g**2 + 4*g**2).\nAnswer: -5*g**4 - 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39437\/6 - -6509. Let c = -64 - r. Is c <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -4178?\nAnswer: 4171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -857 by 1.\nAnswer: -857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40.1037 + -38.4037003. Let y = 1.7 - x. What is y rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3529849 to the nearest integer?\nAnswer: 1879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -463*v**3 - 8*v**2 - 5*v + 26. Let o be w(-14). Suppose -o = -0*d - 9*d. Round d to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/(-144) - (-58)\/18. Suppose o*w - 4*p = -15, w + p + 15 = -2*w. Let v(f) = -4*f - 3. Give v(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 3583294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3 - 85*f**2 + 33 wrt f.\nAnswer: 3*f**2 - 170*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2361.\nAnswer: 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4, 9, 18, 31, 48?\n\"Answer: 2*y**2 - y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2142 and 3638?\nAnswer: 229194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0952 - -0.0252. What is the fifth smallest value in -0.1, -4, 0, j, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26100.1 + 26100. Let h be 0 + (-2)\/4 - 2. What is the nearest to c in h, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 212357012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**3 - 25*h**4 + 2*h**4 - 2*h - 2*h**2 + 85 - 83 - 7*h**3 as j*h**2 + u*h**3 + z*h**4 + t + o*h and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 + 3*s + 1. Let y(u) = -u. Let n(h) = -i(h) - 3*y(h). Differentiate n(k) wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7956, 7872, 7476, 6558, 4908, 2316, -1428, -6534?\n\"Answer: -35*i**3 + 54*i**2 - i + 7938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111 - (-8425)\/(-50) - -58?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39759?\nAnswer: 3, 29, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 157270 to the nearest one thousand.\nAnswer: 157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 4*c - 48 = 0, 11*x - 20 = 13*x + 5*c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -138, -332, -604, -954, -1382, -1888?\nAnswer: -2472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 495856 and 2992.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.14 - -0.16. Let k = y - 5. Let t = 30.73 - 31.03. What is the nearest to 0 in t, k, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57799411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 5 (b) -180\/7 (c) 14\/75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59657322?\nAnswer: 2, 3, 191, 52057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*j + 35. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/24 and -145\/2598.\nAnswer: 10392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4431 = -2*r + 3*s, -28*r = -24*r - 5*s - 8857. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -132 - -d?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4284845314 to the nearest integer?\nAnswer: 65459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4069\/6 less than 677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -32*v**3 + 3*v**2 + v + 2. Let i = -190 + 188. Does 33 divide g(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 + -5 + -4)*(1 - 2). Which is the closest to -1? (a) v (b) 4 (c) -10 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -20*f**3 - 11*f**2 + 17*f - 11. Let x = 3 - 20. Let v(p) = 7*p**3 + 4*p**2 - 6*p + 4. Determine x*v(r) - 6*k(r).\nAnswer: r**3 - 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*s**3 - 2056*s**2 + 2056*s**2.\nAnswer: 309*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 less than -21\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -3*w**5\/40 - 225*w**4\/8 - 12987*w**3\/4 - 110889*w**2\/4 - 229*w - 2. Determine p, given that m(p) = 0.\nAnswer: -111, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 8*x - 564. Let j = -62 + x. Suppose 7*z = y + 2*z - j, 3*z = -5*y + 48. What is the remainder when y is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(720) + 3.\nAnswer: 8 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 98 + 526844582\nAnswer: 526844680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -5, -13548\/13 in decreasing order.\nAnswer: 0.1, -5, -13548\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(187)*1 - sqrt(187)) - (sqrt(187) + sqrt(187)*-1*-6 - sqrt(187)))\/(sqrt(88)\/(3*sqrt(32))).\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - -3 - (3 - 11). Let b be 42*((-14)\/(-6))\/7 + -5. What is the units digit of ((-345)\/s)\/(b\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -5, 4, -37 in increasing order.\nAnswer: -37, -17, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - (-10 + (19 - 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**4*(v*v**(-16\/3))\/v)\/(v**(-21)*v*v**(-21)\/v) assuming v is positive.\nAnswer: v**(101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 4*x + 11, -7*x = -12*x + 2*z + 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -298 and -26579.\nAnswer: 7920542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296022.\nAnswer: 2, 3, 103, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*h - 71, 7*k + h - 114 = 2*k. Let v be 907 - (4 + k\/(-5)). Let c = -900 + v. Find the common denominator of -44\/5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 (base 14) in base 16?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 18 + -16 + -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l + 4. Suppose 0 = -u - 4*t + 26, 5*u - 25 = 5*t - 4*t. Let k be g(u). What is the greatest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 13 + -26 + (5 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a + 0 - 3 + 1 - a**2 + 0*a**2. Let y be u(-5). Suppose -160 = -y*i + 20. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 4*o - 1. Let d be v(5). Solve -d*m + 8*m = 0, 3*w + 2*m = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a century?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 27*d + 18. What is v(-2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b**2 - 3*b - 88. Let p be z(6). What is the highest common factor of p and 3182?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v + 10. Let i(n) = n**2 - 3*n - 2. Does 3 divide i(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -67*u - 1. Let m be s(-1). Suppose 4*n = 12, 4*w + 3*n = n + m. What is the remainder when (-2)\/3*(-129)\/2 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11205 (base 7) to base 14.\nAnswer: -1075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017870793 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0. Let m(y) = -2*y**2 + 44*y + 4. Let w be m(22). Solve -w*h + q = 13 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1361181 + -309964. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlf when three letters picked without replacement from {d: 1, l: 2, o: 2, g: 1, f: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 3*z - 101 + 123, 5*z - 6 = -4*s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 15 and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**3\/6 + z**2 + 7*z. Let o be n(2). Suppose -39*a - 6 = -36*a. Is o at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 11 + -12 + 0 + 14 + 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 270552983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 + 0*j**2 - 2*j**2 + (1 - 1 + j)*(j - 2*j - j) + 0*j + 0*j - 2*j**2 + (-87*j + 9*j**2 + 87*j)*(-8 - 18 - 1).\nAnswer: -246*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -988.2 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20817456 and 467808.\nAnswer: 41634912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 3*z + 3 = 0, -31*b + 27*b = 3*z - 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 11 + 29. Is 98\/t - 6\/(-9) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34412, -68343, -102272, -136199, -170124, -204047?\nAnswer: -237968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/10 and -16\/969?\nAnswer: 9690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-1 - -6) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 7*j + 3*i = 0, 21 = -5*i + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3041 or 3022?\nAnswer: 3041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47259599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 46486 - -8?\nAnswer: 46494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 24*h**2 - 126*h - 138. Let g be q(15). Put 2, g, 230, 5, 4 in descending order.\nAnswer: 230, 5, 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -981.0041*0.5\nAnswer: -490.50205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7224521.\nAnswer: 7224521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/211 and 25\/89042.\nAnswer: 89042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.344 to 0 decimal places.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20252\/4*1\/(-11). Suppose 2*c - 186 = 732. Let o = b + c. Calculate the common denominator of 49\/8 and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10\/3 - 4. Suppose 0*x = -x. Which is smaller: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231225 is divided by 57796?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 2*f + 5. Let s be u(-5). Suppose 2*h - d + s = 2*d, 5*d - 43 = 2*h. Let q = -16 - h. What is the remainder when q is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -4, 9\/89971 in descending order.\nAnswer: 2\/5, 9\/89971, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - -3. Let y = -115298 + 115311.00024. Let a = y - v. What is a rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2808)\/(-624)*(-2)\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + sqrt(2057) + sqrt(2057) + sqrt(2057) - sqrt(17)) + sqrt(17) + 3*sqrt(17) + sqrt(17) + 0.\nAnswer: -6 + 37*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {b: 2, c: 1, l: 3, d: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-31)\/r)\/(r**(-5\/6)\/r) assuming r is positive.\nAnswer: r**(-169\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66.21523 - 66.15. What is y rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + q = 2 + 9, 3*u - 3 = q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377)*-2 + sqrt(1377))**2 + 0 + sqrt(1377))*-6.\nAnswer: -8262 - 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence covo when four letters picked without replacement from ctcoogv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -32.2. Let r = -1.8 - i. Let u = -5503 - -5508. Which is the nearest to 2? (a) r (b) u (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b + 72. Let v be i(-37). What are the prime factors of -8 + (382 - (6 - v))?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3924 to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)\/d*d**0*d\/((d**(4\/9)*d)\/d)*d**(-2)*(d**7*d*d)\/d**(1\/11)*d**(1\/13)*d*(d*d**7*d)\/d*d assuming d is positive.\nAnswer: d**(20002\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 x when three letters picked without replacement from {m: 1, x: 2, r: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*c + 244, 5*c + 57 + 236 = s. Let l = 63 + c. Solve -2*p = -3*v + 7*v + 10, -v + l = -p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from bbzbzxzxxrz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3994 * 0.683.\nAnswer: -2727.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - ((-9 - -2) + -10 + 5 + 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 i when four letters picked without replacement from {i: 2, g: 1, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*z + 4*z - z)*(0*z + 3*z - z) + 2*z**2 + 2*z**2 - 3*z**2)*(8*z - 4*z + 22*z).\nAnswer: 78*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 less than -132\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -9617409?\nAnswer: -9617405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 64\/12*6\/4. Solve -3*s + 12*s**4 - 3*s**5 + 9*s**3 + t*s**5 + 2*s**2 + 3*s = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 5*m**2 + 2*m - 3. Suppose 3*y - 4 - 17 = -3*p, -2*p = 4*y - 38. What is the remainder when y is divided by g(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2098 - 242. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4540320511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 bigger than 866\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 487, -7, -0.5, 2\/9, -1\/6, -503 in increasing order.\nAnswer: -503, -7, -0.5, -1\/6, 2\/9, 487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 7 = -5*z + 3*h, -4*z - 3*h + 13 = 0. Find the third derivative of -3*q**2 + 5*q**2 - z + 1 + 32*q**3 wrt q.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:58 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16840.\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 210 and -39903?\nAnswer: -8379630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7160158 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 4:50 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 10:38 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/49440 and -17\/1498032?\nAnswer: 14980320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -860*v + 849*v + 40 + 26.\nAnswer: -11*v + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-8 - ((-27 - -11) + 17))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i + 31. Let b = 51 + -47. Let c(h) = -3*h - 15. Let k(y) = b*v(y) + 9*c(y). Determine k(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97515 to the power of 1\/2, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 11. Let f be (-36)\/(n - 3)*26\/(-4). Suppose -39 = 2*u - f. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 4, -30 in decreasing order.\nAnswer: 4, 1, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 18 - (0 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3979 + 3981. Solve -t*y + 4*y = -5*s - 16, -4 = -2*y + 5*s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -106, 0.3, 63.1, -2\/15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - 3*p**2 + 6*p**2 + (-4*p + 3*p + 0*p)*(-p + 0 + 0) + p**2 + p**2 + 0*p**2 + 388*p - 28*p**2 - 388*p.\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckdiz. Give prob of picking 1 z and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2\/7 - 464*t\/7 + 12615\/7 = 0?\nAnswer: 29, 435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5382, 10752, 16084, 21360, 26562, 31672, 36672, 41544?\nAnswer: 46270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 - 5*g**2 + 6*g + 51. Suppose 0 = 33*k + 54*k + 435. Let q(w) = -2*w**3 - 4*w**2 + 5*w + 50. Give k*x(r) + 6*q(r).\nAnswer: -2*r**3 + r**2 + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 0 + 29\/6*b**3 + 17*b + 1\/24*b**4 - 2\/15*b**5 + 0*b**2. Let n(a) be the second derivative of u(a). What is n(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 6. Let z = -994089.00001 - -994095. Let u = m + z. Round u to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (4 - 6 - 3) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3208, 6563, 9884, 13153, 16352, 19463?\nAnswer: 22468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 419.83 - 437.7. Let b = 46 + -28. Let q = b + v. Round q to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -91.\nAnswer: -27.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5 + 14*t**4 - 6*t**3 - 38*t**2 + 28*t = 0. Calculate t.\nAnswer: -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -323*x + 5139735 + 20893742. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 10:12 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 186*q - 5885. Determine x(-145).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9179 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 6:23 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 137922033 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**4 - 622735*y**3 - 19389632640*y**2 + 19390255380*y = 0. Calculate y.\nAnswer: -62274, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, 3, 2, 24 in descending order.\nAnswer: 24, 3, 2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a factor of 5483115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -110, 5, 1\/364, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -3601.\nAnswer: -18005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 928 and 52512.\nAnswer: 1522848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-439429 - 430215 + 844665)*(4*n + 3*n - 5*n) to the form x*n + i and give x.\nAnswer: -49958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -2226421794.\nAnswer: -2226421799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:44 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/((-3)\/2))\/(-30 + 32). Let j be -11*((0 - 4) + (3 - o)). Calculate the greatest common divisor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 54\/55 (c) 3 (d) -2 (e) 0.5 (f) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 2\/(-4))*22. Let z(i) = 5 - 2667*i - 2660*i + 0 + 2 + 5328*i. Determine z(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2269.9 + 2270. What is the fourth smallest value in -0.08, a, -2\/15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1 + 0*x**3 - 7*x**3 + x + 2*x**3. Let k be i(-1). Solve -4*h - 16 = 4*a, k*h + 4 = -a - 0*a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/(-234) - (-134)\/(-26). Is -982*(-1 + y\/(-10))*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 + 1166 - 1166.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*f = 85, 3*f = -n + 62 - 22. What is the highest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*m, -z = -2*m + 2 - 1. Let r be 14*z\/(-6) + 83593. Round r to the nearest 1000.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342*d + 321345 - 321335 + 342*d + 3*d**2.\nAnswer: 3*d**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*o - 18 = -3*h, 2*o - 9 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/230834109 or 1?\nAnswer: -2\/230834109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ynqn when four letters picked without replacement from {n: 2, y: 3, o: 10, q: 4}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o**3 + o**2 - 1933*o. Let r(x) = 4*x**3 + 2*x**2 + x. Let k(v) = -p(v) - 2*r(v). Find the second derivative of k(g) wrt g.\nAnswer: -78*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105091673857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189539, 758024, 1705457, 3031838?\nAnswer: 4737167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 4*a + 2, -2*l = -4*a - 120 + 104 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a year in months?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.038058.\nAnswer: 0.076116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 14649420\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41768?\nAnswer: 2, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 748325996?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 547392470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 8:37 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*q = -25 + 9, 5*q - 34 = -2*g. What is the lowest common multiple of g and 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 43 + 1124*d - 1179*d.\nAnswer: -55*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*a**3 - 35*a**3 + a**3.\nAnswer: -76*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -93, -143, -217, -309?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001153 rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/2000 and 109\/68602640.\nAnswer: 1715066000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1562 is divided by 225?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**6\/135 - 16*r**5\/45 - 71*r**4\/27 + 608*r**3\/9 - 361*r**2 + 3*r - 470. Suppose c(d) = 0. Calculate d.\nAnswer: -19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 20. Let p = 80 - 55. Suppose y + p = z*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 305 + -2139\/7. Sort 3, x, -21 in decreasing order.\nAnswer: 3, x, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/(-40)*(15 + -11 + (-102)\/25).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one twentieth of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdar when four letters picked without replacement from obryodryrybrbar?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuhuuuuu.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 21*p - 210. Give s(-13).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 - 16*p**2 - p + 8. Suppose 37*z = 31*z - 48. Give w(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2682 - 442 = 5*q. Suppose -14*t + 357 = -86 + 51. What is the highest common divisor of q and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636.595906 rounded to 0 decimal places?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5127625 and 6985?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*x - x + 39 = 0, 5*q - 2*x = 50. What is the least common multiple of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121201 + -1202?\nAnswer: 112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17096 is divided by 107.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llliolocpplllcg. Give prob of picking 1 c, 1 l, and 1 i.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146630803 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371534143 to the nearest integer?\nAnswer: 19275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/3176 - 209599\/53992. Let c = s + 794\/187. Calculate the common denominator of -26 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t**2 - t. Let x(w) = 13*w**2 + 2*w - 6. Let c(v) = 2*x(v) + 5*z(v). Suppose 0 = -3*m - 0*m. What is c(m)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9609*r - 124898. Determine j(13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15931990169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4250084611 to the power of 1\/4, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*a + 84 - 10*a - 19*a to the form p*a + m and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:27 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 912\/(-9) - (8\/12 - 2). Let n = d + -204. Let g = 520 + n. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 16 = o. Let p(b) = b - 5. Let x be p(o). Calculate the remainder when 32 is divided by 9 - ((-2)\/2 + x).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k - 3*k)*(4 - 4 - 1)*(208*k + 252 - 252).\nAnswer: 416*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37790 + -0.1.\nAnswer: -37790.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 50*g + 614. Let x be z(-21). What is the smallest value in x, -965, -0.4?\nAnswer: -965","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-1848)\/143 - (-1)\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -29\/4 (b) -1\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 44, 24, -4, -40, -84, -136?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zffffafaa. Give prob of sequence fzff.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/187 + 360\/1309. What is the closest to 0.2 in d, -1\/4, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (sqrt(72)*-1*-6 + sqrt(72)))\/sqrt(2))\/(-1*6*sqrt(18)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*u + 91*u = -6 - 3. Put -452, u, 4 in descending order.\nAnswer: 4, u, -452","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y*y**22\/y*y)*y)\/y)\/y*y**(-2\/11))**(-3) assuming y is positive.\nAnswer: y**(732\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/25, -3, -2\/13, 2, -1, 6 in descending order.\nAnswer: 6, 2, -2\/13, -7\/25, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -4*d - 26*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/4*2\/138. Suppose 0 - 2 = 2*a. Let d(m) = m**2 - 1. Let s be d(a). Which is greater: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2932992, -5865987, -8798984, -11731983, -14664984, -17597987?\n\"Answer: -a**2 - 2932992*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/31306 and 123\/526510.\nAnswer: 5791610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 265*h - 66. Let y(i) = -i**2 - 7*i - 7. Let f be y(-3). Is u(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 440 by 20.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 247238.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - m**2 + 61. What are the prime factors of f(0)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 750 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 27. Suppose k*c = -0*c + 9. Factor -5 + 0 + 30*d**4 + 11*d - 7*d**5 - 4*d**3 - 14*d**2 + c - 14*d**4.\nAnswer: -(d - 1)**3*(d + 1)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555 - 157 = -200*f + 488 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(77) + sqrt(77))*-4)\/(-1*sqrt(7)*-2 - sqrt(7))*-1)**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + (-10 + 12 - 8). Which is smaller: s or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -4*u - 12, 7*u + n + 12 = 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 26014640*v**2 - 42297593395600*v.\nAnswer: -4*v*(v - 3251830)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 21. Let h(b) = -1. Determine -2*h(w) + r(w).\nAnswer: 2*w - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is e987 (base 15) in base 3?\nAnswer: 2111202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -90*374\/33 - (10 + -2). Are -1028 and b equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 18*b**2 + 65*b - 536. Give c(19).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.7 + -5.6. Which is the closest to w? (a) -0.4 (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 8:42 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-3))\/((-1)\/(-3)). Let l(q) = -q**2 + 12*q + 123. Let m be l(20). Let h = m + 34. Is h at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/24 + (-30)\/(-8). Does 2 divide 50\/15*6\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9318, -18648, -27996, -37368, -46770, -56208, -65688, -75216?\n\"Answer: -t**3 - 3*t**2 - 9314*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y = 15*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13*48\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -8. Let j = -61 - -1. Let v = j - -53. Which is smaller: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*l**3 - 6*l**4 + 5*l**4 + 3*l**2 - l - 3*l**2 as j*l + k*l**2 + n*l**3 + q + u*l**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109042 + 109048. Let x(o) be the third derivative of -o**6\/120 + o**5\/12 + o**4\/3 - 7*o**3\/6 + o**2. Give x(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19014 + 4*r + 19014.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038097948 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 0*h**3 - 7*h**3 + 3*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6472020707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -10 + (-4 + -3 - -10) - 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*f = 454, 4*f + 452 = q + 2*f. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13642 (base 7) to base 14\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.7. Let m = j - -3.5. Let l = -13\/115 - 2\/23. Which is the nearest to 0.1? (a) m (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11024\/5 smaller than 2204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - 1431\/(-63))\/((-2)\/7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 105 and -0.02812847?\nAnswer: 105.02812847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 200547678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 20 = -3*w, -4*g + 24 = g - 4*w. Let a = -5 + g. Calculate the remainder when (-2 - -1)\/((-1)\/7) is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 931 - 714 = 0. Let b(w) = -2*w**2 - 9*w + 51. Let t be b(-13). Let i = j + t. What are the prime factors of i?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 201346?\nAnswer: -201348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -94*a + 263. What is the hundreds digit of v(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, e: 5, b: 5, c: 3, w: 1}. What is prob of sequence cce?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5589 to the nearest 100.\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(-276)*-18*(-3)\/((-54)\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -68864110 to the nearest one million.\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1157 - -20828495203.2.\nAnswer: 20828496360.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*h - 10 = 6, 3*r - 5*h - 32 = 0. Let f be r\/(4\/(-160)*-2). Suppose -3*n + 12 = -0*n, -4*d + f = -4*n. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9700 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*d - d. Let j(f) be the third derivative of -7*f**4 + 0*f + 8\/3*f**3 + 49\/5*f**d + 0 - 343\/60*f**6 - f**2. What is p in j(p) = 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1182692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 - 32 = 19*t. Sort -1, 4, t, -5 in decreasing order.\nAnswer: t, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10840, -10845, -10854, -10867, -10884?\n\"Answer: -2*y**2 + y - 10839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.03, -2680, 1\/5, 18 in decreasing order.\nAnswer: 18, 4, 1\/5, -0.03, -2680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, s: 3, b: 3, l: 5, t: 3}. Give prob of picking 1 s, 2 b, and 1 l.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**4\/6 - p**2\/2 - 4*p - 3. Let l be x(1). Suppose 2*g = -g + 18. Put g, l, 2 in ascending order.\nAnswer: l, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*y + 105552, -4*l - 895*y = -897*y - 84442. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 2:05 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 8*v - 14. What is the tens digit of a(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284, 290, 298, 308, 320, 334, 350?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(4)*-1*6))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16981 + -12057. Let x = -87862\/3 - j. Let b = x + 3794\/15. Put 2, b, -5 in ascending order.\nAnswer: -5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-1))\/(4 - 95\/24) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7522 times 184\nAnswer: -1384048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10993 or 2874?\nAnswer: -10993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -213584*i**2*n**3 + 3*i*n**3 - 2*i*n**2 - 3*i*n - 3*i - 3*n wrt i?\nAnswer: -427168*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2.9, -0.1 in descending order.\nAnswer: -0.1, -0.5, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 162660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 + 5*b - 4. Let t be 150\/(-24) - (-2)\/8. What are the prime factors of w(t)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 6\/19 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w = 39. Let y be (-8)\/12*(-198)\/12. Suppose 130 = -y*h + w*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 610183037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 940 is divided by 49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -32405 divided by 2082?\nAnswer: -32405\/2082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -8 (c) -3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20695?\nAnswer: 5, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/((-189)\/(-90))*(-2)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 10*t**5 - 66178*t**4 - 609466*t**3 - 1444526*t**2 - 1060296*t - 159048 = 0.\nAnswer: -6, -2, -1, -1\/5, 6627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = -3*u + 40*a, u - 3*a = 92 - 99 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 188 - 1151. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 481680 by 53520.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211122 - 20?\nAnswer: 1211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f - 400 = -44*f. Suppose 100 = 2*m + 3*m. What is the greatest common divisor of m and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -104) + 10 + -13 + -1 + 4 + 1?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 48.725905 + 62\nAnswer: 110.725905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g + 1. Suppose 2*x = -3*x + 2*m + 15, -5*m = 25. Determine p(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 325 and 15250.\nAnswer: 198250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -5, -16 in decreasing order.\nAnswer: 4, 2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 555119679 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -88586467 divided by 37019?\nAnswer: -2393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3345, -3358, -3365, -3366?\nAnswer: -3361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, y: 1}. What is prob of sequence uu?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 367, 522, 385, -248, -1581, -3818, -7163?\nAnswer: -11820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -4, 5 in decreasing order.\nAnswer: 5, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 9*j - 5. Let x be p(-10). Let f = x + -1. Solve 3 - 11 = -t + 5*n, -f*n + 2 = -5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, 879, 2005, 3591, 5643?\nAnswer: 8167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/5 of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 6:45 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -192*h**3 + 201160*h*l + 157885*l + 41 wrt h?\nAnswer: -576*h**2 + 201160*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + v - 2*v = 5, 2*a + 2 = -4*v. What is the nearest to 1\/5 in -1, 0.06, a?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/767 + 6\/(-9) + (-5 - 2834\/(-507)).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323 = -99612*q + 99631*q for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3516 + 73837\/21. Let q(t) be the second derivative of 1\/14*t**2 + 17*t + 1\/84*t**4 + 0 + v*t**3. Factor q(g).\nAnswer: (g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -260861629 - -137855769. Let h = 123005867.0000003 + b. Let o = h + -7. What is o rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 333 by -1.\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 + -44 + (1 - -8914) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11632 (base 8) in base 11?\nAnswer: 3852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11310 and 7917?\nAnswer: 79170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.32815 times -5\nAnswer: -1.64075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6) - 0) + 140\/12 + 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aataaat. What is prob of picking 2 a and 2 t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 4*h + 22, 2470*h - 31 = -6*u + 2471*h - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 51 - 149 = 0. What is the remainder when b is divided by 30\/(-9)*6\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-10)*-2*1. Let v(x) = x**2 + 14*x + 45. Let i be v(-8). Is g <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-15))\/((-39)\/468). Suppose 3*c + 4 = 2*c. Let h be (-4 - c)\/(1 - 0). Sort j, 0.3, 0.2, h in increasing order.\nAnswer: h, 0.2, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8\/6 + (-15)\/45 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + 0. Let o(s) = -s**3 + 11*s**2 + 3*s + 13. Is o(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7119, -14145, -21171?\n\"Answer: -7026*x - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/3)\/y*y*y**(-13)*(y**(5\/3)\/y)\/(y\/(y**2*y)) assuming y is positive.\nAnswer: y**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 680 and 928?\nAnswer: 78880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 915 and 610?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 942 a factor of 3656284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a - a**2)*(a + 3*a - 6*a + 3*a - 2 + 2 + (0 - 3 + 5)*(-3*a - 4*a + 5*a) - 4 + 4 - a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*g + 27. Let z be 3\/8*g\/30. Let i be ((-8)\/100)\/(4\/(-20)). Which is the closest to i? (a) z (b) 0 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d - 6. Let m be q(4). Suppose -4*n - m + 74 = 0. What is the least common multiple of n and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177715?\nAnswer: 5, 35543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10443.2 + 10444. Is c != 115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/1)\/((-40)\/(-4)))\/(702\/130)\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**11\/v)\/(v*v\/(v*v**(2\/31))))\/((v**(-4\/3)\/v)\/((v\/((v**(-1\/2)\/v)\/v)*v)\/v)) assuming v is positive.\nAnswer: v**(2771\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/14768 and 75\/251056.\nAnswer: 251056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-21) - (-1 - 2504389965\/49). Round n to the nearest one million.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*h + 25. Let l = 795 + -793. Let q(x) = 3 + 2*x + 3*x - 2 - 78*x**2 - 88*x**2 + 165*x**l. What is q(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21132, -42300, -63466, -84630, -105792, -126952, -148110?\nAnswer: -169266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 7*k - 4. Let j be z(6). Let g be (1 - (-1)\/(-4))*(53 - (-7021)\/(-177)). Solve 0*t + j*t + g = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 2. Let y be t(-6). Solve -19 - 1 = y*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*c + c + c)*(-c - 3*c + 5*c) - 5*c**2 + 3*c**2 + 3*c**2)*(-1 - 1 + 3) + (-4*c**2 + 6*c**2 + c**2)*(202 + 160 + 257).\nAnswer: 1856*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 509055046?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7\/j**(-5\/7))\/((j**(-2\/11)*j)\/(j*(j\/((j**(-2)*j)\/j))\/j*j)) assuming j is positive.\nAnswer: j**(839\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 7*j - 3*j)*(-5*j + 4*j + 4*j) + 2*j**2 + 5*j**2 - 5*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*-6*114\/(-18). Does 7 divide (-52)\/(-65) - n\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -7 - 1\/6*p**3 + 0*p**2 + p. Let o(b) = 92*b. What is o(x(l))?\nAnswer: -92*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let k be (-2)\/5 + (-17)\/(-5). Let m(y) be the first derivative of -2*y**2 - 1 - k - 1 + 3. Determine m(j(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74626, -74633, -74640, -74647, -74654?\nAnswer: -74661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3330, 3328, 3326, 3324, 3322, 3320?\nAnswer: 3318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 3\/10, -0.8136?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 2. Let f(m) = -m - 5. Calculate 6*f(o) + 10*j(o).\nAnswer: 4*o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 462302 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 2*v + 18, 6*s - 9 = 10*s - v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3084 - 2) + (-5 - 6). What is the highest common divisor of r and 249?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 10887?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*b - 196*b = -134*b - 630 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5}. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 49626 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 80*w - 261*w + 4 + 87*w + 88*w. Give x(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 288?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003546301962 to 5 dps.\nAnswer: -0.00355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202022121002021 + -121?\nAnswer: -202022121002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25710871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 118535 and 651.28?\nAnswer: 117883.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.76*-3.4.\nAnswer: 2.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1. Let n(r) = r**2 + 7*r. Let t(u) = -n(u) + 3*x(u). What is t(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 374 = 2*w, -5*c = -2*w + 4*w - 935. Let s(l) = -13*l + 303. Let x be s(22). Calculate the highest common factor of c and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -5, 36?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-7))\/(7\/(-84)*3).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2170*j - 40 = -2160*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8\/19, -0.2, 5, -133 in descending order.\nAnswer: 5, 4, 8\/19, -0.2, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -619*x - 2 + 757*x + 3 to the form j*x + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5391 = x + 5*z, 3*x = 8*x - z - 26903. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 5:17 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 2540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*i**2 - 1259*i**4 + 1237*i**4 + 5*i**3 - 2 - 3*i**3 + 0 - 3*i**2 in the form h + x*i**2 + c*i + k*i**4 + r*i**3 and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -171437\/22 + 7791. Let s be 6\/(-15)*(-815)\/7. Let k = 1087\/28 - s. What is the common denominator of p and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*n - 4. Suppose -n*r + 12 = 4. Let h be r\/(-60)*-6*-5. Which is greater: h or -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a56 - 2?\nAnswer: a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.01 (b) 2 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2747, -27920, -69881, -128636, -204191?\nAnswer: -296552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, e: 3, g: 5, l: 1, n: 1}. What is prob of sequence le?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 81798247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3*806\/52)\/(1\/(6\/9))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-20)*(-5)\/2. Suppose 3*z - a*m = -12, 0 = 5*z + 2*m - 3*m + 20. Let g be (-3)\/2*(-12)\/9. Sort 3, z, g in increasing order.\nAnswer: z, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1022 + 161 - v + 1029)*(11*v**3 - 11*v**3 + 16*v**3) + (-1 + 4 - 2)*(3*v**4 - 4*v**4 + 3*v**4) + v**2 - v**4 - v**2.\nAnswer: -15*v**4 + 35392*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -2*u**5\/65 + 7*u**4\/13 + 10*u**3\/13 - 500*u**2\/13 - 1000*u\/13 - 1372. Find w, given that m(w) = 0.\nAnswer: -5, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19571, -4\/3, -3 in ascending order.\nAnswer: -3, -4\/3, 19571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 301698*u**5 - 2*u**2 - 411*u - 47.\nAnswer: 18101880*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 11304*g - 361843. Calculate h(32).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 6*q + 4*j = -36, 0 = -2*q + 5*j + 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**3 + 11*x**2 + x - 13. Let o(k) = 2*k**3 + 6*k**2 - 7. Let v(l) = 5*o(l) - 3*u(l). Calculate v(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from cccgcccc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 52 (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 - 4*u**5 + 0*u**5 + (3059 - 3059 - 30*u)*(-u**3 + u**3 + u**4).\nAnswer: -33*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - d - 3*d = 1059, 0 = 2*v - 5*d - 706. Suppose -4*o = 0, 0 = z - 4*o + 94 - v. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/2*1\/((-21)\/(-12)). Let a(p) = 1. Let t(z) = z - 2. Determine g*a(q) + t(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51831037?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -17*u + 75. Determine v(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17, 17, -87, -379, -943?\n\"Answer: -14*m**3 + 32*m**2 + 2*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/35)*p**(-2))\/((p*p\/(p\/(p\/p**(9\/5)))*p)\/p**(-2)))**(-3\/4) assuming p is positive.\nAnswer: p**(138\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a - 36*a + 2103 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/14976 and -157\/6694272.\nAnswer: 6694272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.68 + -27.18. Round m to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-8))\/((-18)\/656). Let p = z - 896\/33. Sort 5, -0.1, p, -3\/13 in ascending order.\nAnswer: -3\/13, -0.1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1609470 <= -1609505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 0*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-9))\/(2\/6). Let b be (4 + 0 - -1)\/k. Solve 5*p + 3*n - 21 = 6, p - 23 = -b*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*m**3 - 9 + 9)*(-m - 5*m + m) - 2*m**3 + m**4 + 3*m**3 + m**4.\nAnswer: -68*m**4 + m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.7646*3.\nAnswer: 41.2938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(24\/11)*t\/(t**(2\/3)*t)*t**(-2\/5)*t*(t\/(t\/(t*t**(-1\/2)))*(t**(-1\/9)\/t*t)\/t)**(-5\/8) assuming t is positive.\nAnswer: t**(-14783\/7920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*h - 4 = 0, p = -4*p - h + 43. Let b be 22\/p - 4\/(-16). Solve -2*c + c + b = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 14\/9, -5\/3, -0.2, 6, -537, 0.4, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297 + 654*l**2 + 1455*l**2 - 297.\nAnswer: 2109*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 51419094.3 seconds?\nAnswer: 85.01834375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 2:35 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*v - 3*s - 6, -5*v + 15 = -2*s. Let p be -2 - (-2 + 2\/(-10)). Let i = 945 - 948. What is the closest to p in 3\/4, v, i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 - 21*h**2 - 4*h**2 + h**2.\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.672 rounded to one dp?\nAnswer: -50.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6*u + 3 = 5*u, -2*n - 2*u = 6. Solve o + 4*x = 5*x - 6, n = 2*o + 4*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 2 + 4)\/(1 - 0). Calculate the common denominator of d\/10 - (-16)\/(14 + -6) and (-2)\/(16\/(-81)*2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -39. Let n = 9.4 + -6.4. Which is the closest to 2? (a) 5 (b) v (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -75, -5, -73, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 1\/4, 2\/273, 1, 0.06, -68?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.7 - 8. Let p be 4\/(-6) + (-23)\/(-18). Let k = p + -5\/6. What is the nearest to 0.1 in f, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 868107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k = -29 + 146. Let d(z) = 0*z - 3*z - 5*z + z**2 + 17. Does 13 divide d(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/7 - -23\/21. Let j = 0.437 + 0.063. What is the nearest to -2 in -4\/7, p, j?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 67. What is l(-20)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 87462308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f - 2. Let p(l) = 28*l - 6. Let o = 8 + -3. Let u(y) = o*p(y) - 16*x(y). Find the first derivative of u(s) wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.937 + 1.237. What is the biggest value in -3\/2, a, -744?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 31, -0.4, 9\/5, -1\/6.\nAnswer: -0.4, -1\/6, 0, 9\/5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2613270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -429 - -429.03616. Round o to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 41*t**2 - 49*t + 5. What is v(40)?\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35300246 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 3. Let a(m) = m - 2. Let c(v) = -6*a(v) + 4*p(v). Let k(u) be the first derivative of -271*u**3\/3 - 1523. Give c(k(i)).\nAnswer: 542*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6\/(-4) - (31 - 7334\/228)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j - 740 = -28*j - 158*j. Suppose -2*m + m - 1 = 0. Let z(i) = -7*i**3 + i**2 + i + 1. Let f be z(m). Solve -j*w + w = -f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g - 6. Let b(m) = m. Suppose l - 3*d - 2 = -l, l - 1 = -5*d. Let t(w) = l*h(w) + 4*b(w). Determine t(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 7:23 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.5 - 10.3. Let n = -19.1 + p. What is n rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0*o + 0*o)*(o**2 - 2*o + 2*o + (o + 3*o - 5*o)*(-2*o - 2*o + 3*o) - 34*o**2 + 260*o**2 - 14*o**2).\nAnswer: 214*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38857197 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2730 and 2310.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8924848 is divided by 56?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 + -73. Let x = 55.11 - 55.21. Sort -1\/2, x, w, -2.\nAnswer: -2, w, -1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 - 4) + 6 - (-6 - -1)) + 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - k**2 - k. Let d(j) = -7*j**3 + 4*j**2 - 7*j + 13. Let w(v) = d(v) - 6*i(v). What is w(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.0119, -2\/11, -54, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4\/8 - 575*z**3\/2 - 1365189*z**2\/8 - 24385491*z\/4 - 11512449 = 0.\nAnswer: -1131, -36, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.24273057 to 3 dps.\nAnswer: -32.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 g, and 1 m when four letters picked without replacement from {m: 3, e: 4, d: 8, g: 2}?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 13*r + 1404 = 92*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.306462 * 0.3.\nAnswer: -0.9919386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 - 23*t - 8. Determine q(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 0 + 3 + 4 - s**3 - 6*s**2 + s**2 + 6*s. Suppose 4*z - 5*z - 6 = 0. Is t(z) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 + 0*o**2 - 2*o**2)*(o**3 + 0*o**3 + 0*o**3).\nAnswer: 2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 12:59 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 939540?\nAnswer: 939540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p + v + 328, -680 = -4*p - 4*v. Let i = p + -123. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344554 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 7*d**2 + 10*d + 5. Determine v(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/9 - 80\/(-45). Let d(a) = a**3 - 4*a**2 - 4*a. Let g be d(5). Suppose t*b - b = -5*o + 13, -5*b = g*o - 105. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 0.00893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1216 - 1214. Let c(w) be the first derivative of j - 2*w - 7\/3*w**3 + 0*w**2 + 1\/4*w**4. What is c(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u. What is k(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31371159193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923223 is divided by 460925?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99742.\nAnswer: 2, 49871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m - 60 = 0. Let j be ((-2)\/(-4))\/(9\/m). Let l = -448\/2097 + -2\/233. Which is the second biggest value? (a) j (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16 + 4\/(-8)*-2. Suppose -8 = -5*u + i. Suppose -5*y + 2*g + 2*g + 27 = 0, -5*y - u*g = 0. Which is bigger: y or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + sqrt(5) + -4))**2 - (2*sqrt(1960))\/sqrt(8).\nAnswer: -518*sqrt(5) + 1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 - 48*t + 1197. Give j(-48).\nAnswer: -1107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/42 and 25\/147.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((n + 3 - 3)*(0 + 3 - 1) - 3*n + 4 - 4)*(3*n**3 - 3*n**3 - n**3)*(0*n - 2*n + n).\nAnswer: -n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 169*v + 0*v**3 + 0 + 0*v**2 + 5\/12*v**4. Let q(f) be the second derivative of 3*f**4\/2 - f. Determine q(u(s)).\nAnswer: 450*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + -11 + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(3130*u**2 + 2132*u**2 + 1290*u**2).\nAnswer: 6552*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from {f: 1, w: 2, h: 1, o: 2, z: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 + 5 - (0 + -7). Suppose 31 = -h*w - 5*f + 1, 3*w - 4*f - 10 = 0. Let u(g) = 0*g**2 - g + g**2 + 10266 - 10265 + g**3. Calculate u(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 23*u**2 + 11*u**2.\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 51516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 39\/6*-4 - 6. Let p be 24\/u*2*-318. What is the highest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 13*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 3\/2*z**2 + 0 + 2\/3*z**3 + 1\/6*z**4 + 5*z. Let d = 23 - 25. Give f(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19587 + 19591. Let z = -0.2 - 0. Which is the closest to z? (a) 4\/3 (b) -3\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 0*r**2 + 16*r**3 + 11*r**2 - 6*r**3 - 13*r**2 - 7*r + 2*r**4 = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3 = -2*m. Let c be (0 - (-372)\/8)*2\/m. What is the highest common factor of 31 and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvb when three letters picked without replacement from bvvbvvhvh?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6323 (base 7) in base 5?\nAnswer: -32342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 14*t - 11. Let o be -2 - (-3 + 3 + 0). Let d be (15\/(-2))\/3*o. What is the tens digit of c(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -3*z + 2*o, z - 546*o + 64 = -542*o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/4)\/((-1)\/4). Suppose m - 8 = -q*m. Let v(i) = 2*i + 0*i**2 + i**m + 2 + 0. What is v(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d0 + 6?\nAnswer: 3d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3356818753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 45953739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 7 = 96*o - 96*o, -6*o + 3 = 3*j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of ((1094940\/(-24))\/11)\/((-18)\/96)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, t: 1, y: 1, f: 1, q: 4}. Give prob of sequence tfxy.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 0*w = -5*w + 4*y, -y = -2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*y = -3*r + 200, r - y - 64 = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571623 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16, -5, -1371204 in ascending order.\nAnswer: -1371204, -5, -3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Let l(p) = -4*p - 1. Give l(d) + 6*x(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6312259 is divided by 1578043?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 18 = 2*r, -4*p + 5*r = -14 - 7. Suppose 2*o - 27 = -3*k + 1, -5*k + 42 = o. What is the smallest common multiple of p and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3382123.\nAnswer: 3382123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**7\/14 - 23*m**6\/30 + 16*m**5\/5 - 6*m**4 + 8*m**3\/3 + 8*m**2 + 8*m. Determine c so that a(c) = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 61*g + 269. Determine i(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 11 = 4*s, 2*s + 86*o - 82*o = 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (1 - 1) - -10. What is the first derivative of u*h**2 - 5*h**2 - 3 + 2*h**2 wrt h?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 2*y + 14, -5*y + 4*v = 56 - 27 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -69*o**4 - 21*o**3 + 165*o. Let d(i) = -14*i**4 - 4*i**3 + 33*i. Let m(r) = 21*d(r) - 4*h(r). Find the second derivative of m(f) wrt f.\nAnswer: -216*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2177389 - 4354783 + 2177391 + 10441*c**2)*(-2*c - 4*c + 4*c) to b*c + h + i*c**3 + k*c**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19109 - 11794. What is the smallest common multiple of g and 7315?\nAnswer: 7315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 s, 1 t, and 1 z when four letters picked without replacement from {p: 2, n: 4, t: 2, s: 1, z: 2, o: 3}.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-3838)\/(-432) - 52\/13. Let r = w - 196\/27. What is the common denominator of -111\/98 and r?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 265670, 265891, 266250, 266741, 267358?\n\"Answer: -t**3 + 75*t**2 + 3*t + 265593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22139 and 598.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + f = 0, 3*x - f = -0*f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**5 - 7533*m**4 + 95*m**2 + 1774319*m + 2.\nAnswer: -40*m**3 - 90396*m**2 + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38991948 and 2652.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -9*u - 10. Let v(n) = -14*n - 15. Calculate -8*q(h) + 5*v(h).\nAnswer: 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -383 times 0.06\nAnswer: -22.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*b**2 + 24*b - 24*b - 30 + 30 - 3*b**2 + (0*b + 0*b + b)*(-2 + 2 - b) as s*b + u + x*b**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.3 or 490\/11?\nAnswer: 490\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78.627 - -79. Round j to 2 decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 54*b - 119. Let v be r(29). Sort v, -20, -5 in decreasing order.\nAnswer: v, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -2*v - 15, 15*k + 20 = 20*k - v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from mmmmmmmmmmammmmmmmm?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 656788803 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25171, -50356, -75545, -100738, -125935?\nAnswer: -151136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1662*o**2. Let p(z) = -199*z. What is x(p(g))?\nAnswer: -65816862*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 122963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(704) + -2 + ((-2*sqrt(77))\/sqrt(7))**2 + (1*sqrt(22))\/sqrt(2))*-1*1.\nAnswer: -42 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*j + 31, 5*w + 0*j + 2*j + 23 = 0. Let r be (1 + w\/2)\/((-12)\/(-24)). Which is the third biggest value? (a) r (b) 0.5 (c) 5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 15 - 164. Let v(u) = 4*u**2 + 0*u**2 - d*u + 146*u. Let j = -39 - -28. Let a(w) = -21*w**2 + 15*w. Determine j*v(z) - 2*a(z).\nAnswer: -2*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*k**5 - 2660*k**4 + 74284*k**3 + 129812*k**2 + 26912*k - 26112 = 0 for k.\nAnswer: -408\/13, -1, 1\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (47581 - 47581 + 538*k)*(-4 - 4 - 2) - 4*k - 2*k + 4*k to b + d*k and give d.\nAnswer: -5382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81256 by -14.\nAnswer: 5804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from {a: 2, h: 11, g: 4, o: 1, r: 1}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1824\/(-840))\/((-1)\/(-5)) - -10.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t**2 + 8*t - 6. Let p(x) = -x**2 - x + 1. Let a(j) = -n(j) - 5*p(j). What is a(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 280 + -393. Let m be (21 - 122) + 60\/(-4). Let d = j - m. Solve o = -d*o - 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -80?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (3 - 3) - (9 + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + u + 379 = 1594, l - 252 = -2*u. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 27*b**2 - 25*b + 32. Let x be a(-26). Solve -x*w = -24 - 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -139 + 125. Let w(t) = t**3 + 16*t**2 + 15*t + 19. List the prime factors of w(p).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 16*t - 65 = 0. Suppose -3*d - t*g + 0*g + 709 = 0, -d + 253 = 5*g. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + 4*p**2 + 0*p**2 + (24*p**2 - 348*p + 348*p)*(1 - 1 + 1).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4\/5 + 3567*p**3\/5 - 21321*p**2\/5 + 31953*p\/5 - 14196\/5 = 0. Calculate p.\nAnswer: 1, 4, 1183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6977 + 6401. Which is the second smallest value? (a) t (b) 2\/9 (c) 0.1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 4639*w**6\/15 - 8701*w**3\/6 + 2*w. Find the second derivative of c(g) wrt g.\nAnswer: 111336*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 2*n**2 + 2*n. List the prime factors of a(-3).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -4. Does -16 = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 12. Let s be 2\/h - (-175)\/10. Let q = s + -11. Solve u + q = -2*n, 5*n + 0*u + 17 = -2*u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**3 + 147*a**2 - 285*a + 141 = 0.\nAnswer: 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14*((-475)\/10)\/(-5). Suppose 3*h - 4*v = 0, v = -0*v. Suppose h = 3*g - 3 - 54. Calculate the highest common divisor of g and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/((q**(1\/5)*q)\/q))\/(q*q**(-1\/2))**(14\/9) assuming q is positive.\nAnswer: q**(-44\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 4*i + i + i - 4*i + i + (-3 + 1 - 5)*(-3*i + i + 0*i) + 2*i - 3*i + 2*i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*m = -2*x + 8, -4*m = -5*x + 14. Suppose -x*h + 88 = -2*h. Let n be (-1 - -2) + 53 - -1. Calculate the greatest common divisor of n and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 4)*(3*x + 8*x + 2*x).\nAnswer: -39*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0094727732 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrreerverrereeer. What is prob of picking 1 v and 1 e?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Divide 31610 by -3.\nAnswer: -31610\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + n + 11. What is t(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 881627 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 - 87*z - 836. Calculate n(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 2*a**2 - 2*a + 4. Let j = 1198 - 1180. Calculate the remainder when j is divided by s(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*2\/(-4)*29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -5*m + 18, 125*m = 130*m - 2*t - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 16*f + 43. Let k be n(18). Let t be (-3 + k + -3 - 6)*-1. Solve t = 5*u - 0*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*n - 51*n = -5*u, -10 = 5*u - 4*n. Find d such that 82\/15*d + 2\/15*d**3 + 52\/15 + 32\/15*d**u = 0.\nAnswer: -13, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*k + 4*u, -2 - 4 = k - 4*u. Does 7 divide (192\/(-72))\/(k\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.1 (c) -0.5 (d) -12\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from nhttahhahhha.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.224 + 53.924. Let g = q - 52.6. Which is the closest to -1? (a) 0 (b) g (c) 13 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*v - 17*v - 20. Calculate the least common multiple of v and 44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*z**4 - 23*z**2 + 262?\nAnswer: 8*z**3 - 46*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12589, -25203, -37827, -50467, -63129, -75819?\n\"Answer: -m**3 + m**2 - 12610*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 7:33 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z**3 - 26*z**2 + 3*z + 2. Let k(n) = 2*n**3 - 9*n**2 + n + 1. Calculate -5*k(l) + 2*s(l).\nAnswer: 6*l**3 - 7*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -508, -4098, -13820, -32740, -63924?\n\"Answer: -511*t**3 - 13*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.879786 grams to tonnes.\nAnswer: 0.000006879786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u - 4528 = -4*q - 12*u, -2*u = 2*q - 2240. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a factor of 621742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -24. Let i be (-24 + x)\/5*6\/(-5). Let h be (34\/(-14) - -2)\/(i\/36). Is h greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*b = 376903 + 6422507. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -101.5679705 to 2 decimal places.\nAnswer: -101.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 212457 and 128975?\nAnswer: 58425675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = 2*x + b + 49, 4*x - b + 5670 = -2*x + 5324 for x.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -777*z = -815*z + 7545698. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371265 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-20 + 14 - -1) + 21 + -2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39675644, -79351273, -119026902?\n\"Answer: -39675629*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.932 + 0.068. Let p = h - 24. Which is smaller: 5\/31 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 3:40 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1754*a - 1246. Is h(-40) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 h, and 1 z when four letters picked without replacement from zhaanahannnazah.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0419 + 0.3419. Let v = 2\/23 + 24\/253. What is the closest to -1 in b, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from {r: 2, b: 2, y: 1, w: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from nnnntnnonntno?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/202325 and -17\/375?\nAnswer: 3034875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 - -5 - -3 - -1620. Suppose 12 = 4*l, -l - s = -4*g + 181. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 10, -5*p + 24 = -3*p + 5*d. Let k(h) = -175*h**2 - 8*h + 326*h**2 - 5*h + 10 - 150*h**2 - 3. Let y(g) = g**2 - 9*g + 5. What is p*y(c) - 5*k(c)?\nAnswer: 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -273*m**2 - 309*m + 1513410 wrt m.\nAnswer: -546*m - 309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 854*y - 29 + 94 - 31 - 32.\nAnswer: 854*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1030*l**2 - 11327*l + 13. Give w(-11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -142*h**2 + 4*h + 16*h + 66*h**2 - 101*h**2. Let m be a(20). What is m rounded to the nearest one thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grji when four letters picked without replacement from cjrgrjjjjiicjijrjjj?\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 1\/24, 9 in ascending order.\nAnswer: 0.03, 1\/24, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 43 + 348 = 5*f, -2*f = 14*d - 0*d - 198 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w. Let o be q(-1). Solve -2*y - 8 = o*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56792 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 + 6*v - 5. Let q(r) = r**2 - r**2 + r**2 + r - 1. Let w = -1 + 3. Suppose 0 = -2*x + w*m - 12, 3 = 4*m - 1. What is x*q(n) + i(n)?\nAnswer: -2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 8:59 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + 5*s + 8*s + (4 + 2 - 5)*(-5*s + 4*s + 3*s) to l + r*s and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g - 2. Solve 0*i + 6 = -g*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 10 + 17 + -18.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3 + 3060*r**2 - 1170450*r = 0. Calculate r.\nAnswer: 0, 765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 475, 941, 1419, 1915, 2435?\n\"Answer: a**3 + 459*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11610 and -0.132.\nAnswer: -11610.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7969957ml?\nAnswer: 0.0007969957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21211 (base 3) to base 10\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.021 (c) -4.1 (d) -6 (e) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2010102 + 111202?\nAnswer: -1232300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7452556 a multiple of 977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2394816?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 3*r**2 - r + 3. Let j be i(3). Suppose j*h - 4 = 4*h. Let v = -333120 - -333117. Sort v, h, -2 in increasing order.\nAnswer: v, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/2 of a hour?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/603? (a) -0.1 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 46. Let d be 5 + -1 + t\/5 + -3. What is the units digit of (620\/15 + 2)\/((-2)\/d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -16. Suppose 4*k = -j - 10, -4*j - h = 4*k - 5*k. Let q = 3 + -2.5. Which is the nearest to -1? (a) q (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3555 - -b0?\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*j - 2)*(2*j - j**4 - 2*j) + (j - j + j**3)*(j**2 - 2*j**2 - 2*j**2) + j**5 - j**3 + j**3.\nAnswer: -5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 3*z + 9, 2 = -3*j - 4*z - 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -118460 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 9703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - l**2. Let h be k(0). Let i(p) = -p**2 - p + 16. Let n be i(h). Suppose 3*u = -u + n. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-572*p + 19*p**2 + 572*p)*(-4 - p - 6 + 5) + (p - 3*p + p)*(0*p + p**2 + 0*p) + p**3 - 10*p**3 + 0*p**3.\nAnswer: -29*p**3 - 95*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -155 + 111. Let q = 47 + n. Solve g + q*g = 4*d, -2*d + 12 = -5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqxqxxxxqqqqqx. What is prob of sequence xqq?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.2, -2.292, 0, -3\/2, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0554287g in kilograms?\nAnswer: 0.0000554287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3039*p**3 + 2 - 3053*p**3.\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*1\/4 + 1. Solve s = -6*q + 7*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (3 + -46 + 4). Suppose -10*t = -11*t + r. Find the third derivative of 45*b**2 + 0*b**5 - b**5 - t*b**2 wrt b.\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -405267371*h**6 - 57424116*h**2.\nAnswer: -48632084520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 12, x - 5*v + 18 = -0. What is the least common multiple of x\/4*14 + -3 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -9578697.\nAnswer: -4\/9578697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 653 + 2092. Suppose -2*j - j = -r. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0734349 to 3 dps.\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18\/1027 - -85025\/12324. Find the common denominator of ((-189)\/50)\/(2820\/(-1175)) and z.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - z - 2*z - 4 + 7*z - 2*z**2. Let r be j(5). What are the prime factors of 66\/r*3\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/6327504 and 75\/16?\nAnswer: 6327504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 0)\/(1 - 0). Let m(o) = -o**3 - 4*o**2 - 4*o + 5. Let w be m(a). Let c = w - 13. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8931006 by 9.\nAnswer: -992334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**3 - 2*h**2. Let c(t) = -t**3. Let n(k) = 10*c(k) + 2*l(k). Factor n(v).\nAnswer: -4*v**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(38\/(-57)) - (-119)\/51*24\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 11*d - 14. Let f be h(6). Suppose -3*l + f = 2*q, -5 = -4*l + 3. Suppose -88 = -q*s + s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 11\/2*h**3 + 3\/4*h**4 - 3*h**2 + 0 - 2*h - 5\/4*h**5 = 0.\nAnswer: -2, -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -188*j**2. Let z(s) = 169*s. What is z(m(q))?\nAnswer: -31772*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5131819 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*-12)\/((-4)\/2). Suppose -s*l = -l - 25. Suppose 0 = 3*t - 2*h - 2, l*t = t - h - 1. Solve t = -2*x + x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3452315449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**3 + 2*u**3 + 5*u - u**4 + 4*u**4 - u**4 to the form k*u + q + c*u**2 + p*u**4 + y*u**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 20 + 595*b**2 + 1657*b**2.\nAnswer: 2252*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*v**3 - 463*v**2 + 64*v**3 + 463*v**2.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1867 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -18 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3529*v - 1882*v - 178563 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-24) - ((-14)\/(-4))\/(2574\/(-66))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 389, 1691, 3865, 6911, 10829, 15619?\n\"Answer: 436*h**2 - 6*h - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14038962*w**4 + 39099854?\nAnswer: -56155848*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-6\/13)*y**(-6\/7))**(-2\/3))**(-2\/97))**26 assuming y is positive.\nAnswer: y**(-320\/679)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -365220 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 0)*(-15 - -2). Suppose -2*a + p = 3. Suppose l - a*l = -4. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**5\/10 - 16*p**2. Let m(v) = -7*v**2. What is x(m(h))?\nAnswer: -294*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-5) + (-9563)\/2190 - -15*(-6)\/20?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)\/(c**(1\/3)\/c))**(-1\/28)\/(c**5*(((c\/c**(-6))\/c)\/c)\/c*c*c*c**0*c*c*c*((c\/(c**(-3\/5)\/c))\/c)\/c) assuming c is positive.\nAnswer: c**(-3041\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-6))\/((-5)\/(-15)). Let p be (-1)\/(o - (-94)\/48). What is the units digit of -5*(p\/(-5))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 995*k**2 - 14*k - 23. What are the prime factors of g(-1)?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -145, -293, -441?\n\"Answer: -148*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1391429 to three dps.\nAnswer: 1.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 2*n**2 + 2. Let a be q(-2). Let i be 12\/(-15) - 5\/(-25)*14. Suppose -4*t + 40 = -i*w, -4*t - 5*w + 22 + 4 = 0. Solve a*p + p = t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 5*c = 2*z + 8, 0 = -3*z + 4*c - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 177*a**2 - 2*a + 9. Let f(q) = 3*q**2 - 2. Determine -5*f(s) - x(s).\nAnswer: -192*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w - 10. Let s be p(-7). Suppose -2*h - 4 = 2*h, -2*u = -h - s. Suppose -2*d + u*d - 51 = 0. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -183 * 6\nAnswer: -1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-22) - 40\/(-22). Let j(f) = 9*f - 2. What is j(q)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/73? (a) -5 (b) 23 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (24 + -15) - (-8 - -1) - 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 4*g + 81. Let i = 54 - 44. Calculate the least common multiple of i and p(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18346720 is divided by 163810.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i**6 - 12*i**2 + 0*i**6 + 9*i**2 wrt i.\nAnswer: -480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 79 - 11 = 0. Let v be o\/(-8)*1*4. Let n = -4 - v. Solve 4*b = n*m + 8, -2*m + 2*b = -2*b - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/29)\/((i*i**(-1\/13)*i)\/i)*i**(-2\/9)*i\/i**(-2)*i assuming i is positive.\nAnswer: i**(9920\/3393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 5*j**2 + 3*j - 3. Give a(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*r**4 + 16*r**3 - 11509*r**2 + 323146*r + 8 wrt r?\nAnswer: 132*r**2 + 96*r - 23018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 29 + (6 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 a factor of 3043251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002567 to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 18 (c) -0.2 (d) -85 (e) 8 (f) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from queybou. Give prob of picking 1 e and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**(-10))**41\/(c**(2\/11)*c*c\/((c\/((c*c\/c**(-4)*c)\/c))\/c*c)*c)**(-5\/3) assuming c is positive.\nAnswer: c**(150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -4 + (3 - -2) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(7\/2)*h*h**5)**12 assuming h is positive.\nAnswer: h**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/128246 and 33\/14.\nAnswer: 897722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.013 + 6.813. Let t = r - 7. Let z = -34.8 + 22.8. Which is the second biggest value? (a) t (b) 2\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -105 + 116 + s + 0*s. What are the prime factors of q(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/5))\/(m*m**(-2))*(m**(-1))**(-6\/5)*(m**(4\/11)\/(m\/m**(2\/13)))**(-27) assuming m is positive.\nAnswer: m**(2292\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o + 20. Let u(q) = -q + 16. Let n be u(11). Let g(b) = b**2 - 2*b + 7. Calculate the least common multiple of g(n) and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/((-9)\/54). Suppose -2*h = z*h - 160. Solve 3*a = 4*b + 5, -5*a - h = 3*b - 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18030 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 175, 1223, 3981, 9277, 17939, 30795, 48673, 72401?\n\"Answer: 138*k**3 + 27*k**2 + k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530411.\nAnswer: 7, 75773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 34*m**2 + 184*m + 464. Determine f(-28).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(425) + (sqrt(425) - (sqrt(425) + 0)))*-6 - (5 + sqrt(425) + sqrt(425) + -1*sqrt(425) + sqrt(425) + 4 + sqrt(425)))**2 + 0.\nAnswer: 1260*sqrt(17) + 34621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17621349 - -7851349. What is w rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -131\/2674 - -23\/191. Suppose 0 = -i + 1 + 4. What is the biggest value in r, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95542335 and 324?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -8*n + 15. Suppose 47 = 16*c - n. Solve 4*y + 10 = 2*g, -2*g + c*g = 4*y + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2023*z - 9319. Let y be s(18). What is y rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 91, 93, 95?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**4 - 40*s**3 + 30*s**2 + 200*s + 125 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 145.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80173?\nAnswer: 80173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 8*z**2 + 9*z + 6. Let h be y(9). Suppose 0 = 4*m - 9*m. What is the smallest common multiple of 1 and 8 + 2\/h*m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-9 - -8) - 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22265.\nAnswer: 5, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 5*q - 8, 4*q + 32 = 2*v. Let k(f) = -f**3 + 7*f**2 + 5*f - 33. Let i be k(v). Do -57 and i have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**9*a)\/a)\/(a*a\/(a*a*a**(1\/3)*a)*a))**(-1\/7) assuming a is positive.\nAnswer: a**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v + 24. Let f(j) = j - 6. Let b be f(-4). Let i be g(b). Let n(z) = z**3 + 7*z**2 + 7*z. Calculate n(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from wwfwwwowwbwbo?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + b + 1 - 1 - 1)*(3 - 3 + b**3).\nAnswer: 2*b**5 + b**4 - b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**4\/12 - y**3\/6 - y**2 - y. Let m(p) be the first derivative of p**3\/3 - 2*p**2 - 8*p + 2. Let c be m(5). What is b(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25270*f + 25293*f = 184 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.70369 years in millennia?\nAnswer: 0.06070369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 437, 981, 1751, 2753, 3993, 5477, 7211?\nAnswer: 9201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2))**(6\/13)*z\/z**(-11)*z**(2\/7))**(2\/7) assuming z is positive.\nAnswer: z**(2068\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11100 - 4500. Calculate the greatest common factor of t and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 959235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 764*t - 4554. What is s(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*x = 492. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 964572 divided by 172?\nAnswer: 241143\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9864 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 15*d - 2. Let m be x(16). Is m bigger than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l - 2. Let z(i) = -i**3 - 8*i**2 - 9*i - 7. Let r be z(-7). Let g = -5 + r. Let s be u(g). Solve -4*q - 4 = -5*j, -s*j + 4*q - q = -3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, 26, 114, 290, 584, 1026?\n\"Answer: 5*f**3 - f**2 - 2*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z + 57*z - 4186 = -72*z. Calculate the greatest common divisor of z and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, q: 2, o: 3, p: 2, x: 2, k: 1}. Give prob of picking 1 k and 2 x.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3 + b**2*q**2 + 83*b**2*q + 7*b**2 - 58*b*q + 11*b + q**2 wrt b?\nAnswer: -6*b + 2*q**2 + 166*q + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-4)\/28*9. Sort h, -1, 3\/7.\nAnswer: -1, h, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + sqrt(300) + (sqrt(300) - -3*sqrt(300)))**2 + -1*(sqrt(12)\/(sqrt(4) - sqrt(196)) + 3).\nAnswer: 1201*sqrt(3)\/6 + 7501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 23*i**2 - 23*i + 18. Let h be b(22). What is the common denominator of -39\/14 and 8\/((-9856)\/(-7256)) + h\/(-22)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen halves of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32649817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 4. Suppose 7171*f - 7362*f + 1528 = 0. Solve w*b + 5 = f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 118297, 236587, 354877, 473167?\n\"Answer: 118290*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18032.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 2527b?\nAnswer: 2527a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 4778*a**2 - 7957*a + 3182.\nAnswer: -(a - 1591)*(a - 1)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10398 = 786*w - 166*w + 11083 + 30315 for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-770)\/(-84) - (-2)\/(-12). Suppose 0 = -d*h + 84 + 60. Calculate the remainder when 62 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -302.\nAnswer: -1208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9*z + 2. Let k(i) = -133*i - 117*i - 126*i - 4 + 358*i. What is 3*k(f) + 7*s(f)?\nAnswer: 9*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 710?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -15. Let u be 2\/k - (-1)\/3. Factor 0*h**2 + 2\/5*h**3 + 0 + u*h - 4\/5*h**5 + 2\/5*h**4.\nAnswer: -2*h**3*(h - 1)*(2*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 - 14*y**3 - 58 + 58 + y**2 in the form k*y**3 + i*y**2 + c + x*y and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + 0 + 2*k**2 + 1 + (-2*k**2 + 2*k**2 + 4*k**2)*(37 + 14 + 55).\nAnswer: 425*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -37, -97, -201, -361?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*q - 13410. Let i = q - 1548. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2. Let a(j) = 2863*j**2. Give a(z(y)).\nAnswer: 2863*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 21*t - 50. Let d = 159 - 184. Is r(d) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*w**2 - 12727461*w + 12727461*w.\nAnswer: -107*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -213 - -213.5. Let s = 216\/11 + -214\/11. Sort s, o, -2\/3.\nAnswer: -2\/3, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 0.5, -2, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**2 + 4*f - 8*f + f to the form a*f**2 + c*f + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162*f**6 + 7*f**4 - 31698*f**2 wrt f?\nAnswer: -19440*f**3 + 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(68)\/sqrt(4) - sqrt(17)) - (4 + 1*sqrt(17)))**2 + 5.\nAnswer: 8*sqrt(17) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5\/13 - 71104*d**4\/13 + 213286*d**3\/13 + 284416*d**2\/13 - 853176*d\/13 = 0.\nAnswer: -2, 0, 2, 3, 35549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 2*x + 16 = 0, 3*x - x = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/57951 and 149\/193170.\nAnswer: 579510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 204 + -2. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -78*v + 4523. What is x(58)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.4028 and 166?\nAnswer: 2390.8648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1171890 divided by -13\nAnswer: -1171890\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1843.142 days?\nAnswer: 263.306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 957934828567475.\nAnswer: 957934828567476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, 9, 106 in increasing order.\nAnswer: -75, 9, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3047 (base 8) to base 6\nAnswer: 11143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f - 10*f - 6930 = 93*f + 44*f for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2)\/8 - (-4 + 108\/8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 + 0 + 0 + (-2*b**4 - 2*b**4 + 2*b**4)*(1 - 2 + 0) + 6*b**4 + 2*b**4 - 4*b**4.\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = h - 30, -7*h + 2*h = -8*g - 136. Solve h*r = 13*r - 55 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48025 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186288 is divided by 46561?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.00040309 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*u**2 + 2)*(-2 + 5 - 1)*(0*u - 2*u - u) to w*u**3 + o*u + v*u**2 + y and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(2736) + 1)**2 + -4) - (-2*(-3 + (sqrt(2736) - (sqrt(2736) - (sqrt(2736) + 3)))))**2) + -1 + 1.\nAnswer: 144*sqrt(19) + 5454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 496002 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*j = 5*j + 5, -4*v + 5*j + 2 = 0. Let t be 3 - (18\/1 - 1*v). Let c = t + 252. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000000011011001001 (base 2) to base 11\nAnswer: -170292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {k: 3, y: 3, p: 1, u: 2, v: 5, s: 6}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8109, -8111, -8113, -8115, -8117, -8119?\n\"Answer: -2*u - 8107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14205 + -12571. What is the greatest common divisor of v and 1376?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392427150?\nAnswer: 2, 3, 5, 17, 23, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 1:49 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l**2. Suppose -18 = -5*k + 22. Let g(a) = -3*a**2 + k*a**2 - 3*a**2. What is g(z(d))?\nAnswer: 162*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86745*n**2 + 5080*n**2 + 50930*n**2.\nAnswer: 142755*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 344, 391, 466, 575, 724, 919, 1166, 1471?\n\"Answer: v**3 + 8*v**2 + 16*v + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 742680926 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 3)*(6*d - 4*d + 0*d) + d - 29*d + 2*d to the form a*d + z and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83473166?\nAnswer: 2, 7, 17383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 4:43 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -242087, -241787, -241487, -241187?\n\"Answer: 300*j - 242387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, 4, 1, 3269665 in decreasing order.\nAnswer: 3269665, 5, 4, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 546 divided by -3\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**5\/30 + 43*x**4\/3 + 340*x**3\/3 - 1012*x**2. Let l(m) = 0. Calculate m.\nAnswer: -170, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 3*q + 72. Let v be f(0). Let s = -164 + 245. Let h = s - v. Is 11 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + u**5 + 2*u + (5*u**4 - 16*u**4 - 2*u**2 + 12*u**4 + 8*u**3)*(5 - 5 - 3*u).\nAnswer: -2*u**5 - 24*u**4 + 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 899915183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -45, -1, 1 in descending order.\nAnswer: 4, 1, -1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3993850471?\nAnswer: 13, 281, 1093307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 6*s + 4 - 9 - 2*s.\nAnswer: 4*s - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/180 and 123\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3)**(-6)*m**16*m**2)**33 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3593*i - i**2 + 1 - 1197*i - 1198*i - 1198*i.\nAnswer: -i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - u**2 + 4*u - 6. Let g be p(-3). Solve g = -3*d + 5 + 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53340.\nAnswer: 2, 3, 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4129340138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - o + 28 = 0, 0 = -3*j - 4*o - 5138 + 5096 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49254.\nAnswer: 2, 3, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1614915*p**3 - 1047693 wrt p.\nAnswer: -4844745*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.79 * 34.5742\nAnswer: 61.887818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/2)*d)\/d*d)**(-12)*d**(-1\/5)*d*d\/d**(-3\/4)*d assuming d is positive.\nAnswer: d**(-49\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 250, 255, 240, 199, 126, 15, -140?\n\"Answer: -s**3 - 4*s**2 + 24*s + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (610 + -8 + -13)*10 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -338 - -337.8. What is the nearest to s in -4, -5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) -2 (b) 11.869 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*v + 11*v = -396 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 260 + -254. Solve c*m = 34 - 22 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 8 = -4*a, -5*r + 2*a - a = 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 26, 78, 162, 284, 450, 666, 938?\nAnswer: 1272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 + a**3 - a**3 + (2*a**2 + 3*a**2 - 6*a**2)*(-1 + 1 + 9*a).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 588.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5769\/6*(2\/(-6) - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/6 + (-7)\/21. Let z be (-13 + 13)\/(1\/j). Which is smaller: -1\/28 or z?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 1592?\nAnswer: -1590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v + 2931 - 3254 = 0 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 116. Let f = -23 + q. Suppose -4*a - j + f = 0, -j + 12 = a + 3*j. Calculate the highest common divisor of 84 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24537901 and 423.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5067710 rounded to the nearest 100000?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 308709?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**3 + 33*n**2\/2 - 9*n. What are the prime factors of p(16)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-171*u - 46*u**2 + 171*u)*(u - 4*u + 2*u - 4*u - 3*u + 5*u + (-3 + 4 + 0)*(-6*u + 3*u + u) + 3*u - 3*u - 2*u).\nAnswer: 322*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 27*p**2 + 10*p - 3. Let b be k(-4). Suppose -5*g - 3*n = -5*n - 643, -b = -3*g - 2*n. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18179, -1, 0.25, 0.3?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**7\/105 - c**6\/20 + 32*c**5\/15 + 19*c**4 - 96*c**3 - 2533*c**2. Determine s so that b(s) = 0.\nAnswer: -6, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5218 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 1. Let o be d(2). Let a be -5 + 10\/5 - -1. Let z be (-6 - 58\/(-12)) + (-2)\/(-3). What is the closest to o in a, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 36*v**2 + 9*v - 1393. Determine k(37).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/350 and 87\/40.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a = -10*a + 16*a. Suppose a = 24*q + 4*q - 15876. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**33)**(10\/13)*((y\/(y*((((y**3\/y)\/y)\/y)\/y)\/y*y))\/((y*y*y**(-4\/9))\/y))**(-19) assuming y is positive.\nAnswer: y**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1331) + 0 - sqrt(1331))**2 + sqrt(1331) + 1 + sqrt(1331) + 3.\nAnswer: 29 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5103) + sqrt(5103) + 3 + sqrt(5103))**2.\nAnswer: 486*sqrt(7) + 45936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 517959583*l*u**4 + 3886400*l*u**2 + 53*u**2 wrt u?\nAnswer: 12431029992*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9.3 * 12\nAnswer: 111.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -3474.\nAnswer: -1\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -145.841 plus 144?\nAnswer: -1.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 129 = 2*n, -441*n + 126 = 4*r - 436*n. What is the remainder when 45 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/482?\nAnswer: -1\/482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198862.\nAnswer: 2, 99431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -138814c6 - 2?\nAnswer: -138814c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from rujkm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(((-605)\/121)\/(22\/6))?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvj when three letters picked without replacement from vjjvvvgvgvjjvjggjjgj.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (1 + 1 - (-9 + 10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1001200212210111 (base 3) to base 8\nAnswer: 72135025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10325421 (base 6) in base 9?\nAnswer: -517224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115107723 is divided by 145338.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**4 + 16468218*s + 51984 + 48551*s**2 - 16571274*s + 1613*s**2 + 904*s**3 = 0 for s.\nAnswer: -114, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/5)\/(-1) + 28\/(-70). Let w be 7 + -9 + (f\/(-1) - 5). Let y = -4 - w. Solve 5*h + y = -5*r - 2, -3*h + r + 9 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 242*p**2\/7 + 1442760*p\/7 + 2150368200\/7 = 0. Calculate p.\nAnswer: -32790\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 623\/(-28) - (-2)\/8. Suppose -3*l - 5*r - 36 = -l, -90 = 5*l - 3*r. Let y = l - o. Solve 0 = -4*d + y, 2*d = -i - 0 + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (148575\/(-16980))\/((-15)\/2)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10\/11 (b) 0.5 (c) 1\/4 (d) -1\/7 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/21 and -107\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 6*c + 44 = 0. Let u = -22 + c. Suppose 5*r = -u + 10. Solve -9 = r*q + 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 43\/4 of a microsecond?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 4)*(-7378)\/(-18972). Solve -o*l + 4\/3 + 2\/9*l**2 = 0 for l.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22.497, 5, -9\/7, -10, 0.4, 0.2.\nAnswer: -10, -9\/7, 0.2, 0.4, 5, 22.497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17127 - 17111. Solve -21*t = -5*t + r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118 + 63. Let h = -55.15 - r. Which is the closest to -1? (a) -5 (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 394 = y - 446, 2*y = -6*o + 76 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4*91\/(-28))\/5 + 1*-1. Determine o, given that -2\/5*o**3 - a - 16\/5*o - 2*o**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**21\/j)*(j\/j**(-10))\/j)**(1\/4) assuming j is positive.\nAnswer: j**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464352153.\nAnswer: 3, 19, 8146529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002717001 rounded to four decimal places?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.5, 3\/8 in descending order.\nAnswer: 3\/8, 1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850983579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**0*c\/(c*c*c**(-7\/3)*c))\/((c*c*c*c**(-1)*c)\/((c**5*c*c*c*c*c)\/c)))**14)**(-2\/21) assuming c is positive.\nAnswer: c**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 79? (a) -5\/3 (b) 2 (c) -1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 12 = 2*g. Let b be ((-190)\/g)\/(20\/1380). Let o = -134 - b. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -656, -1272, -1886, -2498?\nAnswer: -3108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -1. Suppose -p*a = -2*a, -2*o = -a. Suppose 0*w - w + 8 = o. What is the highest common factor of 88 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 2:01 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 8:31 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/148 and 17\/327?\nAnswer: 48396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -1\/3*s**3 + 4*s + 1\/2*s**2 - 17. What is a(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 23.000017. Round a to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173 - 54. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 1141, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 5, 76, 1, 4 in decreasing order.\nAnswer: 76, 5, 4, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*h + 104. Let j = h + -16. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (504\/324)\/(24\/162*3)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 45 = -4*r, -4*k - k + 3*r = -10. Suppose -5*d = 3*g + 6, -4*g + 4*d = 2*d + 8. Let b(t) = -t**2 - 3*t + 1. Let p be b(g). Sort k, p, 2.\nAnswer: 2, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*s**2 - 16*s - 19*s + 39*s**4 + 37*s + 1 - 23*s**2 as c*s**3 + h*s**2 + o + f*s + a*s**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 9) to base 7\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 8*v - 3*v - 2*v - 1. Let o be c(-4). Sort -4, o, 0 in descending order.\nAnswer: o, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 + 470 - 470 - 7*f**3.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.0427*1.31.\nAnswer: 13.155937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - x - 313495 = 0, 0 = -3*z + x - 1126981 + 186476. Round z to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 13*y + 9. Let w(z) = -z**2 + 6*z - 5. Let q(h) = 3*h**3 + 204*h**2 - h - 63. Let a be q(-68). Determine a*w(o) + 3*l(o).\nAnswer: o**2 - 9*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 90?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.63 - 0.07. Let j = -843 + 850.62. Let d = 3.62 - j. Which is the nearest to -1? (a) -1\/4 (b) d (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 1224*q**3 - 5*q + 3*q + 1504*q**3.\nAnswer: 280*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9998866 divided by -10.\nAnswer: 4999433\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 3:03 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*v + k, 4*k - 6 + 32 = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three quarters of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 1690 - 1693. Let h(j) = -2*j**3 - 11*j**2 - 5*j - 5. Let q(u) = 2*u**3 + 12*u**2 + 5*u + 6. Let o(n) = 6*h(n) + 5*q(n). What is the tens digit of o(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -10. Let z = -1 + u. Suppose 2*p + z*a - 56 - 46 = 0, 5*a + 174 = 4*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/607 + 35833\/12140. Calculate the common denominator of 107\/14 and g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 13. Let p be d(-11). Let s = 4 - p. What is the second derivative of -3*u + 4*u - 3*u**s + 0*u**2 + 2*u**2 wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -230.53 to 0 decimal places.\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.3661 and -1035.\nAnswer: 5553.9135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and 0.003723?\nAnswer: 0.0040953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -3*s - 9, -7*i + 5*i + s = -9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j - 1. Let b be 22\/(-18) + ((-120)\/(-54) - 2). Let h be n(b). Suppose -h*g + 429 - 105 = 0. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*n - 152. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**3 + 3*v - 3. Let n(q) be the first derivative of 3*q**4\/2 + 5*q**2\/2 - 5*q + 7. Determine -3*n(f) + 5*t(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7786472 divided by 7786472\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9526077 months in centuries?\nAnswer: 0.00079383975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228705, -457410, -686115, -914820, -1143525?\nAnswer: -1372230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -36 + (-17 - -26) + 34\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 35. Suppose 0 = 45*k - 48*k - 15. Let n be (-3 - -1) + 16\/10. Sort k, n, s.\nAnswer: k, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2. Suppose -1 - 3 = -2*t. Suppose 0 = -2*x + 4 + 6. Let v(a) = x*a + t*a - 5*a. Determine p(v(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, 1, 11958?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6187 - 6181. Solve 2*t - 2 = 4*v, 4 = -2*t - 5*v + w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 463, 1801, 4031, 7153, 11167, 16073?\n\"Answer: 446*v**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + 2 + -4 + 0. Let p be 3*4\/(-14)*h. Find the third derivative of 4*c**2 + 0*c**2 + 3*c**p - c**2 wrt c.\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 163?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 22936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 8*p**2 + 7*p - 13. Let a be t(-9). Suppose 5*k - 23 + 3 = 0. Solve 3*g = f + a, 2 + 4 = 5*g - k*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 + -129. Suppose w + r*g = 242, -3*w = 5*g - 1097 + 401. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -40*o**2 + 11*o + 9. Let k(m) = 40*m**2 - 13*m - 11. Let a(s) = -5*i(s) - 4*k(s). Let g(y) = -2*y. Determine a(g(x)).\nAnswer: 160*x**2 + 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**8\/13440 - s**7\/2520 + s**6\/1440 + 5*s**4\/12 + 5*s. Let g(i) be the third derivative of q(i). Solve g(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 s, and 2 u when four letters picked without replacement from skuksuuukgussugsgss.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3462 = -5*q - 1574, -5076 = -4*v - 5*q. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 0, 0 = 5*r - 2*j - 14 + 494. Let u = r + 96. Let n be 2*(-2 + 174\/86). Is u < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y + 12 = -2*t, 5*t = 0. Is y at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 7) + (5 - (2 + -2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -183631.63 to the nearest one thousand.\nAnswer: -184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, t: 7, w: 3}. What is prob of sequence xtw?\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -583*w + 9469. Is a(7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/5224 and -81\/2?\nAnswer: 5224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 7, 1\/3, -6, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 <= -249\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 19*z + 134. Let f(x) = 9*x**2 + 3*x - 18. What are the prime factors of f(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*v + 5 = 0, -b = -2*v - 0*v + 6. Suppose b*k = 29 + 815. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7759*h - 6201 = 7642*h for h.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, o: 7}. Give prob of picking 4 o.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12222 - 10210010020102?\nAnswer: -10210010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*(0 + sqrt(1053)) - 6*(sqrt(1053) + 2)**2).\nAnswer: 486*sqrt(13) + 19026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7964615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.2 + 2. Round g to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13660 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 l(h) = 7*h - 266. What is the remainder when 382 is divided by l(57)?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 8 = 4*m, n - 4*m + 2 = -6. Suppose s + 4*s - 40 = n. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2.7. Let i = s + -3.3. Let a = 1232 - 2465\/2. What is the second smallest value in i, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7427696623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4433053759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 20. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.9228 times -160.3?\nAnswer: 1109.72484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154\/(-44)*(0 + -4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*w = -13, 4*o - 17 = -5*w - 0. Suppose 3*f + 3*j = 66, o*j = 2*f + 3*f - 94. Calculate the highest common factor of 30 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 3398046?\nAnswer: 40776552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) + (sqrt(448) - 5*(0 + sqrt(448)) - sqrt(448))**2 - (-3 + 2*sqrt(7) - (sqrt(63) + 1)).\nAnswer: 9*sqrt(7) + 11204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 0.2, -0.02935, -0.3, 7, -0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165 and 0\/(-1 - -2) - -75?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 8. Let f be v(11). Solve 2*g = 3*g + z + 4, 4*g + 16 = f*z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q**3 + 2*q**2 + 2*q + 1. Let h be i(-1). Let f be (-6)\/(-10)*(-10)\/(-2). Let u = f + h. What is the greatest common factor of u and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1842, 2972, 4102, 5232, 6362?\nAnswer: 7492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1035 and 12330.\nAnswer: 283590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3626 + 86987. Suppose -41*r = -10*r - z. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(135\/(-18) - -6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbq when three letters picked without replacement from {j: 5, q: 2, g: 4, l: 1, b: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/13*(-390)\/(-60). Are i and 10\/313 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**(2\/25)\/g)*g\/(g*g**(-12))*((g*g**(-14))\/g*g)\/g**(-6\/5) assuming g is positive.\nAnswer: g**(53\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2856 + 905*c**3 + 2856 - 3928*c**3.\nAnswer: -3023*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 13. Which is the second smallest value? (a) z (b) 1\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + 3411?\nAnswer: 3365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-35)*(-170)\/(-51) - 19?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 927856328 a multiple of 1598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -17217, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35412 divided by 97.\nAnswer: -35412\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-9) - (-14 - 58830\/18). What is the greatest common divisor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -55*k**2 - 167*k - 75. Give j(-3).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 326 + 91 + 181.\nAnswer: 4*f - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 + 15616*z + 1450366\/3.\nAnswer: 2*(z + 31)*(z + 23393)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -381 (base 12) to base 15.\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*n*s**2 + c**3*n - 2*c**2*n**3*s**2 + 2*n**3*s + 8*n*s wrt s.\nAnswer: -4*c**3*n - 4*c**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60074?\nAnswer: 2, 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 16 + 8 - 5 + l. Let v(t) be the third derivative of -t**4\/12 - 6372*t**2. Give v(w(q)).\nAnswer: -2*q - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5 - 1 = 0. What are the prime factors of (-2)\/h + 5 + 343?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4076814 millimeters in micrometers?\nAnswer: 407.6814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (15 - (-3 + 2)) + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s = 8*s - 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11081.5894 rounded to the nearest one hundred?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 z, and 1 g when four letters picked without replacement from qygyggbbzbyhqq?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-15)\/(-5))\/((-219)\/(-2847)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (((-133004)\/10 - 0) + 68\/170). What is the greatest common factor of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6 = 2*z, 0*z - 2*z = 2*o - 2. Solve 0 = -g + o*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*a*k*n**2*w**3 + 6*a*k*n*w**3 - 2*a*n**2*w - 12*k*n**2*w**2 + 2*k*n**2*w + 2*k*n*w**2 + 1 wrt w.\nAnswer: -54*a*k*n**2 + 36*a*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, l: 4, c: 3}. What is prob of picking 1 r and 3 l?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 p when two letters picked without replacement from {l: 4, p: 3, f: 5, c: 5, k: 2, h: 1}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (-23 - ((-35 - 9 - -13) + 14)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 5*w**2 - 8*w - 1. What is u(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 20521054.\nAnswer: -1\/20521054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 688*d - 3436. Calculate t(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 95934.\nAnswer: -13\/95934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 85*m - 105. Let c be z(9). Suppose 5*w = 15*w + c. Which is smaller: w or -64?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5, -k + 163 - 162 = -3*v. Solve 12*n - k = 15*n + q, 2 = -5*n - 4*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 2:54 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17626682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2098 = q + 2*m, 1546 = 3*q + 4*m. List the prime factors of q.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -6.4 (b) -1\/3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**3 + 2*j**2 + j. Let v be m(-1). Suppose -11 + 6 = -x. Suppose 0 = r - 0*r - x. Solve -3*w = r + v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 24 (c) 0.3 (d) -5 (e) -1194\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 2*a + 0*a + (0 - 1 - 1)*(-2*a + 4 - 4) - 4*a + 2*a - a + 3*a - 3*a + 2*a)*(218 - 327 + 206).\nAnswer: 582*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13883392 and 2048.\nAnswer: 2048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20, -43, -66, -89, -112, -135?\n\"Answer: -23*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -2\/7, 0.5, -260, 0.1?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((2\/(-2))\/1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1192, -4687, -10482, -18577, -28972?\nAnswer: -41667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 + t**2 + 4*t**2 + (-2*t - t + t)*(-t + 6*t - 2*t) in the form o*t + g + q*t**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1183 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -14.2. Let t = -0.81 + u. Let m(p) = p**2 - 50*p + 298. Let h be m(7). Which is the nearest to -5\/3? (a) h (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 4*x - 1. Let s be k(-3). Suppose 0 = -v + 5*y + 6, 2*y - 27 = -s*v + 33. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2310 + 858*t - 2312 - 172*t)*(-11*t**2 + 3*t**2 - 19*t**2).\nAnswer: -18522*t**3 + 54*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = m - 5*p + 46 + 37, -4*m + 3*p - 2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1782596864280322.80000006 - -1782596881799264. Let t = q - 17518941. Let d = t + -0.2. Round d to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10472 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: Product of -0.062 and 13.\nAnswer: -0.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 - x**3 + x**3 + (0*x - 5*x + 3*x)*(2 + 2*x**2 + 1 - 6).\nAnswer: -2*x**3 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - z + 5*z - z + 9 - 1 = 0, -780*z + 4 = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 2) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -13?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3065283554 - 80.\nAnswer: 3065283474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*o - 26*o**2 + 12*o**2 + 29*o**2 + 10*o wrt o.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10963*g**4*r - g**3*j - 93*g**3 + 16*g**2*j*r - 2*g**2*j + 31*j*r - 39*r wrt g?\nAnswer: 263112*g*r - 6*j - 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-6 + 4 - (4 + -8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 254\/(-9) - 12\/(-54). Let d = -16 - y. Calculate the remainder when d is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00716 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -971 - -967. What is the second biggest value in -11, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*(q*q**10\/q)\/q*q*q)))\/(q*q**3\/q))\/(q**4*q**(2\/3)) assuming q is positive.\nAnswer: q**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(252)*2 - sqrt(252))*-4 - sqrt(252)) + sqrt(252) + (sqrt(252) - (sqrt(252) - -1*-2*sqrt(252))))\/(sqrt(64)\/(6*sqrt(28)\/sqrt(7))))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**6\/6 + 3*q**2 + 6*q. Differentiate h(k) with respect to k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -865319*s**2 + 8*s + 17. Let r be k(-3). Let l = r + -3112122. What is l rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52271005 to the nearest integer?\nAnswer: 7230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222783 (base 10) in base 8?\nAnswer: 10365277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2162132401 - -5?\nAnswer: -2162132363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 8. Let y be p(6). Suppose -3*b - 2*v + 8 = 0, y = -5*b + 2*v - 6. Is b - (-10 - 2) - 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3278 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w - 2*w)*(-4*w**3 + 0*w**3 + w**3) - 6*w**4 + 4*w**4 + 0*w**4 + 15*w**4 - 8*w**4 - 8*w**4 + 19*w**4 - 222*w**2 + 222*w**2.\nAnswer: 22*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -51753176, -207012720, -465778628, -828050900?\n\"Answer: -51753182*b**2 + 2*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1155768767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 10:41 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2841 + 2862 - (21 + (-2 - -1))) + (-6 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**4 + 1685*o**3 + 11625*o**2 + 24795*o + 14850 = 0. What is o?\nAnswer: -330, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 38*w - 223. Calculate k(-28).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 11 - 3 + (-1 + 2 + 0)*(1 - 5 + 1) - 1 + 3 + 1)*(-2*r**3 + r**3 + 5*r**3)*(-1 + 3 + 0 - 2*r) to j*r**4 + p*r + c*r**2 + u*r**3 + n and give j.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 + -1100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 87226069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/76338138 and -21\/8.\nAnswer: 305352552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 18 - 63. Suppose 0 = -3*q - t, 0 = -5*d - 5*q + 609 + 646. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqqraaqrqqqrraaaqqa. Give prob of picking 1 a and 1 q.\nAnswer: 56\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (100 - (17 + -16)) - (7 + 11)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64499934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-2)*(-137 - 130032\/(-945)).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1799 in 2, 2\/3, -1\/4, -13\/3, 6\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*f**3 - 13 + 13)*(-3*f + 2*f - 5*f) - 2 + 2 + 2*f**4)*(2 - 1 + 0).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4169308 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*(4*(sqrt(175) + 1)*2)**2*3*6 + -5.\nAnswer: 276480*sqrt(7) + 4866043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 119?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + r + 3*r - 28 = -3*k, 84 = -32*k + 11*k + 5*r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/20 and (68409\/(-12312))\/11 - 2\/(-9).\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 6:31 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 92025?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*r + 360*r = -148*r + 754 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 445*z - 69 + 46 + 10.\nAnswer: 445*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -10411700 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/21 and 53\/18142775?\nAnswer: 54428325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 + 39*c**2 + 3*c + 1258. Determine d(21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(5\/5))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 35*p + 59. Let w be -37 - 10\/(-20)*(-12 + 2). What are the prime factors of k(w)?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 + 8*l**2 - 6*l - 3. Let p be k(2). Solve 8 = -p*v + 25*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 3 + 16\/(-8). Calculate the greatest common divisor of 5 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 270 in 0, 4\/45, 5\/4, -14?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 116257 to the power of 1\/2, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -3*v - 6. Suppose -5*h + 119 = v. Solve 0*c - 3*c + 3*i = -12, h*c - 2 = -i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356*(46355\/508 + -91)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 8:18 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -17. Let h(n) = -n**3 - 2*n**2 + n + 4. What is the hundreds digit of h(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -25. Let c be s - 6 - (1 - 107). Is (-3)\/(-2)*c\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1964 and 1918828?\nAnswer: 1964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (133 - 44 - 19)*(5*n + 6 - 6) + (-1 + 22 - 13)*(3 - 3 + n) to h + d*n and give d.\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 281560000 rounded to the nearest 100000?\nAnswer: 281600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*d + 24*d - 84. What is the remainder when d is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*z - 13. Suppose 4 = 2*x - z*u + 6, -x = u - 6. Suppose 5*h - r + x*r - 55 = 0, 3*h - 3*r - 57 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -269, -700, -1305, -2078, -3013, -4104, -5345?\nAnswer: -6730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 12 = -4*v, 1 = -5*v + 4*q + 17. Let w = -148\/153 + 36853\/612. Let t = w + -59. What is the nearest to 0.1 in t, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*j*p**2 - 3*j*p*v + j*p + 18*p**2*v - 2*p**2 - 50*v + 104 wrt v?\nAnswer: -3*j*p + 18*p**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 10) to base 12\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5301, -10826, -16423, -22104, -27881, -33766, -39771?\nAnswer: -45908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + 4 + 6*-3*(sqrt(2112) + -2*sqrt(2112) - sqrt(2112))\/(-1*sqrt(300)))**2.\nAnswer: -2016*sqrt(11)\/5 + 229321\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152389757?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - 88\/(-28) - 1. Which is the third biggest value? (a) -2\/3 (b) -2\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhhhhhhbbbhh.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 741 = -4*j, 2*n - n = 5*j - 912. What are the prime factors of (-1 - 1)*(-2 + j)\/(-1)?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9975115, 9975113, 9975111, 9975109, 9975107?\nAnswer: 9975105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.7167049 days?\nAnswer: 1032.055056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42673.\nAnswer: 139, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2864308 and 72976?\nAnswer: 11457232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from ycfcfycf.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16529.\nAnswer: 16529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 529 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -p - 1. Suppose -133 = -4*k - 1. Let z = -29 + k. Solve -7*i + z*i = -p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + 2*(-1*sqrt(180) + sqrt(180)))\/sqrt(9))**2 + 0 + 5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*s**3 - 2564 + 241*s**3 + 3421 - 857.\nAnswer: 184*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122897 is divided by 2564.\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42417943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 32, 58, 92?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**3 - 2*m**2 - 75*m + 9. Calculate k(5).\nAnswer: -1041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7009069571?\nAnswer: 7, 1001295653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Let i be a(-2). Is ((-287)\/(-14))\/(i\/20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73644 = 289*a - 122587. Which is bigger: a or 2036\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + j**3 + 0*j**3 + (4*j - 4*j + 2*j)*(5*j**2 + 0*j**2 - 3*j**2) - 5*j**3 + 4*j**3 + 2*j**3 - 3*j**3 - 2*j**3 + 6*j**3)*(0*j**2 - 2*j**2 + 4*j**2).\nAnswer: 16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + -1 + (-59 - -21 - (-59 - -24))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -47*z + 390. Let h be o(7). What is the highest common factor of 61 and h?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 1)*(-1 + 0 + 0)*(2 + 1 - 2)*(-t + 5*t - 3*t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 8:14 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1029) - (sqrt(1029) - sqrt(1029)*-1)) - 5*(sqrt(1029) - (sqrt(1029) + (-1*sqrt(1029) - sqrt(1029)))))\/(1*sqrt(12) - sqrt(3) - -1*sqrt(3)*-5).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 792773071.\nAnswer: 792773071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -7*z**5\/60 + 2*z**3\/3 + 127*z**2. Let a(p) be the first derivative of y(p). Let h(f) = 3*f**2. What is a(h(x))?\nAnswer: -42*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 256099320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-three tenths of a millimeter?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 42 + 18. Let k be -4*(w\/8 + 1). Let d(q) = -5*q**2 - 2*q**2 + 6*q**k. Let g(r) = 3*r**2. Determine g(d(a)).\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 6:26 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -26951185?\nAnswer: 80853555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 30 and 883\/29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**2 + 12*v + 3. Let j(g) = 4*g**2 + 12*g + 4. Let q(z) = -6*j(z) + 5*o(z). Let r be q(13). Solve -2 = r*i - 18, t + 10 = 3*i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -283 + 407. Let i = r - 124.066. Let g = -0.066 - i. Which is greater: 19 or g?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -574 + 210 - 2*z**2 + 9*z**2 + 6*z**2 - 15*z**4 wrt z.\nAnswer: -60*z**3 + 26*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 16*g + a = 17, 0 = 2*g - 2*a + 6. Suppose 5*o - f = 19, o + 3*f - 9 = -2*f. Let r(k) = -1 - 3*k + 9 + o*k. Calculate r(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020039456.\nAnswer: 2, 3, 83, 313, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 116 + 257*b - 49 - 55.\nAnswer: 257*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (73 - 52 - -6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 618670+-7777588\nAnswer: -7158918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -928503 and -928505 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4353\/4 - 1087. Let v(p) be the first derivative of f*p**4 - p**3 + 8 - 5\/2*p**2 + 4\/5*p**5 - p. Determine i so that v(i) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -122658 and -0.164.\nAnswer: -122658.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 - 5*b**5 + 5*b**5 + (2*b**2 + 4*b**2 - 5*b**2)*(0*b**3 + 0*b**3 - 2*b**3) + (-10*b**2 - 9*b**3 + 10*b**2)*(b**2 + 2*b**2 - 2*b**2).\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -21. Let f = 18 - i. Suppose -10 = 2*k, -5*h + 0*k - k + f = 0. Solve 5*b + h = -2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 409936125 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g*g**(-3\/7))))\/(g*g**(3\/4))*(g\/(g*g**(-2\/3))*g)\/(g*g**(3\/2)) assuming g is positive.\nAnswer: g**(-85\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 24*f - 328. Give v(17).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 512, 1043, 1584, 2141, 2720, 3327, 3968?\n\"Answer: y**3 - y**2 + 527*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/9 + 50*s + 2200\/9.\nAnswer: 2*(s + 5)*(s + 220)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3 - 7295*u**2\/4 - 237868*u - 59353 = 0. What is u?\nAnswer: -122, -1\/4, 1946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45490 - -45586. What is the closest to 0 in -0.4, 2\/7, 1\/5, g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3726289 - 51?\nAnswer: -3726340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22\/17 + 20\/17. Sort c, 0.2, -1.7, 3, -4 in increasing order.\nAnswer: -4, -1.7, c, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78542 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*a - 1)*(3 - 2 + 1)*(-3 + 6 - 2)*(-1 + 0 - 4).\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312779958 by 2.\nAnswer: -156389979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -43989137 + 720\nAnswer: -43988417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5 + 5 + 3*s - 10. Let c be m(2). Suppose -7*o + 65 = -c*o. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.1 + 0.1. Let r = -43 + -15. Let z = r - -57. Is w at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/15 + -2)\/((-11)\/15). Let r = 29\/33 - h. Which is the third biggest value? (a) r (b) -0.5 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwhh when four letters picked without replacement from {t: 2, w: 1, i: 3, h: 3, x: 2, p: 3}?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-26))\/(44\/(-176)). Which is the closest to 11? (a) -6 (b) s (c) 4 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*m**3 - 6 - 515*m**3 + 5 + 1.\nAnswer: -585*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 6*b + 6. Let w be i(-5). Let y be 0\/3 - (w - 197). Let g = -3527\/18 + y. Find the common denominator of g and -19\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1798, 1813, 1828, 1843, 1858?\n\"Answer: 15*q + 1783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79 + -77. Differentiate -346*f**p - 23 - 32 + 283*f**2 wrt f.\nAnswer: -126*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 4:00 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 3, -10 in increasing order.\nAnswer: -10, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2329475.\nAnswer: 5, 93179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**3 - 16*c**2 + 5*c - 3. Calculate the remainder when t(5) is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 5*r**2 + 7*r + 1. Let q be k(-6). Let d = -19 - 38. Let t = 60 + d. Which is the closest to q? (a) 2 (b) t (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 10*c - 10.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 8 + 17 = -3*i + d - 3*d, -5*i - 37 = 6*d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, -9, 457, 2, 3 in decreasing order.\nAnswer: 457, 9, 3, 2, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/((d\/(d*d**(-2\/25)))\/d)))\/d*d)\/d)\/(d**(1\/9)\/d*d)*(d**(-3)\/d)**(2\/65) assuming d is positive.\nAnswer: d**(-6301\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 63.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 36. Let y = -2\/5 - -9\/10. Suppose -i + w = 8 - 2, 0 = -4*w - 20. What is the second smallest value in y, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1960116 - 1960116 + 12878*c.\nAnswer: 12878*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94250.\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/7*(-1316)\/(-846)*45\/(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvzvzvzvzz. Give prob of sequence fvz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 3*o - 11, -2*l - 424*o + 428*o = -10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + x**2 - x + 28. Is 7 a factor of m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.7 rounded to the nearest integer?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 321841843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 + 53*p + 541. What is h(35)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6051, -12102, -18153, -24204, -30255?\nAnswer: -36306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30300092 - -4289092. Round p to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38142 - -38142. Suppose 4*l - 20 = l - 2*u, -4*l + 3*u = -21. Sort c, l, -3, -2 in descending order.\nAnswer: l, c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2580ba + 3?\nAnswer: 2580bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32627, 32629, 32631, 32633?\n\"Answer: 2*y + 32625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from {f: 1, p: 1, e: 2, q: 1, s: 2, t: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + -0.1. What is the third smallest value in 1\/8, y, -2\/15?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 12:41 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 229*v**2 - 1625*v + 1377. Determine r(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v + v**3 - v - 7*v + 12*v**2.\nAnswer: v**3 + 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 18*i**4 + 7*i**3 - 15*i**2 + 7. Let t(c) = -9*c**4 - 3*c**3 + 7*c**2 - 3. Let k(x) = 3*l(x) + 7*t(x). Find the third derivative of k(f) wrt f.\nAnswer: -216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 11:22 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3958906ml?\nAnswer: 0.0003958906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to 4\/211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00170448425 to seven decimal places.\nAnswer: -0.0017045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/(-6) + (-10)\/(-30). Let z be 4 - (b - (-2 - -58)). What is z rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161 + 12 + (-7920)\/(-90)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491903.\nAnswer: 89, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 104*c**2 + 20*c + 56. Does 23 divide q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 12*v**2 - v - 7. Let j be y(-12). Solve 10*c + 15 = j*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifi when three letters picked without replacement from fffffifffifffffiifi.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011111 - -10110?\nAnswer: 10110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -92 times 5\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 458.5 - 17.\nAnswer: 441.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -563 + b2?\nAnswer: -4b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 94 = -4*n - 12, 2*n + 394 + 1164 = -36*v - 0*n for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 4*u = -135. Solve -5*v = f + 18, u = -2*f - f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*z + 69 - 12, 278 = 4*w + 5*z. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 2:04 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 19*o - 13*o. Let v(t) = 18*t**2 + 11*t**o - 25*t**2. Let w(r) = -6*r**2. Determine v(w(f)).\nAnswer: 144*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5+0.2806\nAnswer: 5.2806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48542619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -8. Suppose -2 = 4*j - l*k, -k = -3*j - 3*k + 10. Solve z = -j + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3635916 and 327560?\nAnswer: 36359160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 5:57 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19678523218 - 61*i + 19678523218 + 50*i.\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96661, 96591, 96385, 95971, 95277, 94231, 92761?\nAnswer: 90795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-5)\/(-3)))\/((-30)\/(-100))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/(-252) - (-3 - (-1 + 129\/21)). Sort -5, 5, -3, 31, o in ascending order.\nAnswer: -5, -3, 5, o, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -1 in ascending order.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 265?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141*n**2*s*y**3 - 9*n**2*s*y**2 - n**2*s + 2*n*s**2*y + 1376*s**2*y**3 - 135*s**2*y - y**3 - 32*y**2 wrt y.\nAnswer: -846*n**2*s + 8256*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -11, -2, 2891 in increasing order.\nAnswer: -11, -2, 7, 2891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (339*i + 317*i - 5696*i)*(0*i**4 + 2*i**4 - i**4).\nAnswer: -5040*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 116 = -384. Let j = -350 - s. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17172 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 2*v**3 + 4*v - 8 - 4*v - v**2 + 2*v as d + g*v + j*v**3 + r*v**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105 + -106.19. Let v = -1.1899857 - h. Round v to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46254 divided by 6?\nAnswer: 7709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8556 at least as big as 111210\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -15712.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*w + 42 = 156 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -52*o**2 - 9*o + 12. Let q(x) = -105*x**2 - 19*x + 24. Let j(z) = -3*q(z) + 5*v(z). Is j(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*o = -0*o + 60, -2*o - 69 = -5*p. Suppose -p*f - 64 = -17*f. Differentiate 5 - 7 + f*u**2 - 8 wrt u.\nAnswer: 32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 577, 1159, 1781, 2479, 3289?\nAnswer: 4247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 o, and 1 j when three letters picked without replacement from usnzoosuosjooos.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**3\/30 - 341*r**2\/20 + 6560. Factor b(t).\nAnswer: t*(t - 341)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/48 + 1 - 6\/56.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/10 + (-45)\/162. Let z be (-2)\/2*(-2)\/(-2). Is t <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 3:09 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/8458305 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u + 4. Suppose -4*s = 20, 5*s + 19 = -3*x - 18. Suppose -3*l = l. Let v = l + x. Let k(j) = -3*j - 5. Give v*m(n) - 3*k(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3841 divided by -39.\nAnswer: -3841\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 7*q**2 + 8*q - 11. Let p be j(-5). List the prime factors of (-7 - (-4865)\/20) + p\/4.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9398 by 363.\nAnswer: -9398\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/(h*h*(((h**(-1)\/h*h*h*h)\/h)\/h*h)\/h)))**31)**(-4\/5)\/(h**(-5)*h**(-4\/9)*h**(-2\/23)*h*h**(2\/3)) assuming h is positive.\nAnswer: h**(800\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 2. Let r = -4 - h. Suppose -4*y + 0*y + 8 = 0. Solve 4*p = y - r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 7:45 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*16\/((-256)\/5103344) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(288))\/sqrt(9).\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/134 (b) -1\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -69*3\/27*3. Let v = w + 33. What are the prime factors of 2\/4*3*v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39*3*(-147)\/1274*8\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w + 3656 = 0. Let g = -1004 - w. Suppose 2*p + l = 276 + 552, 0 = 2*p + 3*l - g. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7225\/66 - -1206\/11. Sort 111, -1\/4, -0.4, c in increasing order.\nAnswer: -0.4, -1\/4, c, 111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/27 and -28\/45?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 60 = 184. Let u = y + 245. Let k(b) = 11*b**3 - b. What is k(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1386700357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1560516.901 to the nearest ten thousand.\nAnswer: 1560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.051 - 1.245. Let r = -0.704 + v. Which is the closest to 1? (a) 2\/63 (b) r (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101 + -87. Suppose -w*j + 634 = 130. Calculate the remainder when 105 is divided by j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5 + 1 + 5*x + 0. Let g(c) = 2*c + 2. Let n(j) = -8*g(j) + 3*o(j). Calculate n(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*p = -48, -l + p = -3*l + 16. Let j(i) = -4*i - 3 + 9*i - 3 - l*i. Determine j(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603045 (base 8) in base 4?\nAnswer: 300120211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) 1\/6 (b) -3\/8 (c) 1\/5 (d) 1.9 (e) 2035 (f) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9331725 and 1272?\nAnswer: 3956651400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*z - 19. Let m = 23 + z. Solve m = -0*k - 2*k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1211*w**4 + 12*w**2 + 7*w**2 - 3*w**2 - 35 - 30*w - 16*w**2 wrt w?\nAnswer: -14532*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2255 - 2280 = -5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**4\/5 - 392*c**3\/5 - 7997*c**2\/5 + 6821678*c\/5 - 13608216\/5 = 0.\nAnswer: -251, 2, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (12447\/810*20)\/(2\/21) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -200 + 1798\/9. Which is bigger: z or 0.42?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3027 != 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 19089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14895.\nAnswer: 3, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/8))\/(g\/((g*g*g**(-22))\/g))*(g*g**6)\/g*g\/(g*g**(9\/5)*g*g*g) assuming g is positive.\nAnswer: g**(-797\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttttytygttygttg. What is prob of sequence gyg?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -79 (base 12) to base 7\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w + 8. Let a be b(-2). Let p be 3 + (144 - (-6)\/2). Suppose -a*c - p = -9*c. What is c rounded to 0 dps?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 2 = -6*u - 3*d, 8*d - 7*d - 92 = 4*u - 21*d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43938 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -14663*x + 1950179. Calculate q(133).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/4)\/(393\/(-524)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suy when three letters picked without replacement from {n: 1, y: 1, u: 2, o: 1, s: 2, c: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a gram in milligrams?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 840\/462 + -1 + -1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4.1. Suppose 2*r = r, 0 = 3*u - 2*r + 9. What is the third smallest value in u, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1028 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -2)\/((-3)\/5). Let g(i) = i**3 + v*i - 2*i**3 + 6 + 8*i**2 - 12*i**2. Give g(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001111 - 0?\nAnswer: -10001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -231, -1\/33, -0.2 in descending order.\nAnswer: -1\/33, -0.2, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 13*k. Let u(c) = -66*c. Suppose -2*m = -4*p, p + m = -p + 8. Let x(b) = p*u(b) + 11*d(b). Let i(o) = -o. What is i(x(s))?\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 407\/624 + 3\/208. What is the closest to c in -3\/4, -1, 11, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 4. Let d = o + 5.9. What is the biggest value in -12, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15987 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 428 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -180 - 110. Let u = -52 - a. Suppose -40 = -9*p - p. Solve 5*h + 5*t = 45, h + u*t - 13 = p*t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5070 divided by 39\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 28. Let q be t(12). Let s be -2 - (1 - 6)*q\/(-20). Let o(k) = -k**2 + 5*k - 3. Let m be o(2). Solve -5*p + m*p + s = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssms when four letters picked without replacement from {m: 4, k: 1, s: 8, u: 1, t: 2}?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-16)*(-16)\/(-140)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -157*y**5\/20 + y**4\/12 - y**3 + 13*y**2 - 12. What is the second derivative of j(n) wrt n?\nAnswer: -942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdw when three letters picked without replacement from {d: 1, w: 1, h: 1, s: 1, c: 2, e: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5143.33 + 4.2899191.\nAnswer: -5139.0400809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1923*h**2 + 2 - 1 + 493*h**2 + 3*h.\nAnswer: 2416*h**2 + 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 3. Let t = f - 4.8. Round t to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 6. Let r be ((-3)\/(-5))\/(1\/15). Let p = 9 - r. Determine j(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -0.011?\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2743 is divided by 37?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -113324 or -2153164\/19?\nAnswer: -113324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11220*r**3*u**3 - 37*r**2*u**3 - 27*r**2*u**2 wrt r.\nAnswer: -67320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9570)\/(-232) - 41)*76?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10049511139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3496 + 3498. Suppose 3*l - 2*l - 3 = 0. Suppose l*k = k + 5*y + 129, -c*k = y - 111. What are the prime factors of k?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 863822.6 micrometers?\nAnswer: 863.8226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 44\/(-16) - (-35)\/20. Let v(l) = 4*l**2 + 2*l**b - 4*l**2 + 0*l**2. Let o(c) = -3*c + 2*c + 3*c. Determine o(v(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 10*a**2 - a - 9. Suppose -3*z - 12 = 0, 27 - 1 = -w - 3*z. Let n be 20\/(-9)*63\/w. Determine i(n).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -219.5 times 1.338\nAnswer: -293.691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/65, -0.4, 6\/649, 0.5, 2\/43 in increasing order.\nAnswer: -0.4, 6\/649, 2\/65, 2\/43, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/22 and 293\/60 - (-4)\/(-12).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2262328 minus -6.3?\nAnswer: 2262334.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 + 11*b + 70\/3.\nAnswer: -(b - 35)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-189)\/(-891)*-11)\/(7\/96).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**2*q**2*x + m**2*x**3 + m**2*x - 27*q**3*x**2 - q**3*x - 3*q**3 - 2*x**2 wrt x.\nAnswer: 6*m**2*x - 54*q**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + 3661*t**2 - 3661*t**2.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q**3 - 8*q**2 - 2*q + 16?\nAnswer: 18*q - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5.65 (b) 153\/5 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.18 - -13.82. Let i = r - 13.43. What is i rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2295 and 270513?\nAnswer: 22993605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/9849 and -11\/14070?\nAnswer: 98490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s + 13. Let w be a(6). Let l = 10 + w. Suppose -l*q = -14 - 36. Calculate the remainder when 27 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**3\/6 - 3*z**2\/2 + z. Let p be -75*5\/(-30)*2. Suppose 4*i + 37 - p = 0. Determine f(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233363 (base 10) to base 16\nAnswer: -38f93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.006 + 6.006. Which is the second biggest value? (a) -4\/3 (b) 0 (c) y (d) 3 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4807 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -3793.7?\nAnswer: 3793.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*((-532)\/(-105))\/(-19))\/(((-4)\/42)\/(-2)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6*s**(5\/3)\/s)\/((s*(s**(6\/5)\/s)\/s)\/((s*s*s*s**(2\/17))\/s)) assuming s is positive.\nAnswer: s**(2189\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 5:42 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 7*r**2 + 5*r - 8. Let j be a(7). Calculate the highest common divisor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*l - 5 = 3, 0 = -5*l. Let q be (y\/3*-2)\/(4\/18). What is the greatest common factor of q and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -56*q**2 + 2*q - 444. Let l(a) = -84*a**2 + 4*a - 665. Let h(i) = 5*l(i) - 8*s(i). Differentiate h(k) wrt k.\nAnswer: 56*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47970.775 rounded to the nearest 1000?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**2\/2 - 28*o + 532. Let t(v) = v - 14. Let s(b) = -2. Let g(a) = -14*s(a) + 2*t(a). Calculate g(q(f)).\nAnswer: -2*f - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*i + 150. Let n be i*(-2 - 5105\/(-3)). Suppose -4*q - 50992 = z, -z - 4*q = q + n. Round z to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(1*((-16)\/4)\/1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*p = 65, -2*x + 15 = -p - 9. Let j = x + -7. Suppose a = j*h - 53, 3*a = 3*h + 2*a - 41. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16 (b) 3 (c) -0.16 (d) 9\/5 (e) -2010\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 j, and 1 l when four letters picked without replacement from {y: 1, v: 1, p: 4, j: 2, l: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 47 (c) -2 (d) 5 (e) 16602\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 497074200 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 7*k - 2*k - 31, -2*d + 5*k = 13. Suppose 0 = -5*j - 4*l + 29, l - 8 = -2*j + 3. Suppose b = 3*b + 4, 22 = 4*h - j*b. Solve d*n - h*n = 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1779011298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 38*b = 0. Is (6 - 8) + (4117 - b) - 6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*k - l + 1, -5*k - 4*l = -6. Suppose 40*f - 1284 - 156 = 0. Let m = f - k. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**4 + 85*n**3 + 90*n**2 = 0. Calculate n.\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 376.89 + 0.11. Let p = -377.0000199 + s. Round p to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 4 + 21 + 34 + 2*o - 77.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgdjjigeddhjj. What is prob of picking 1 g and 1 e?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from cgrvvg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56342.026139 + 56342. Round r to four decimal places.\nAnswer: -0.0261","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24424 is divided by 24418.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {v: 7, q: 4, f: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvd when three letters picked without replacement from {v: 6, d: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*s + 3*s. Let x(p) = -p**2 + 9*p - 2. What is the lowest common multiple of 18 and x(s)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:25 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (4\/30 - 9960\/1575 - 4).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-13 - 2) - (-5 - -7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*f - 2. Let g be 8\/(-30) - f\/(-5). Let b = -5 + 3. What is the nearest to 0.1 in g, b, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.859118mg?\nAnswer: 0.000001859118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, l: 1}. Give prob of sequence li.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 603828 = 108*t + 607932 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1876033657.\nAnswer: 17, 103, 1071407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*(-3)\/4*40.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -30*a. Suppose -7*c - 12 = -13*c. Let l(q) = 1 - 5*q**c + 3*q**2 - 1. Give l(n(v)).\nAnswer: -1800*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3450336 divided by 762?\nAnswer: -4528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 381862239*j**3 + 485047499*j?\nAnswer: 2291173434*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**4 + 104*w**3 - 672*w**2 - 104*w + 676 = 0.\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((3 - 2) + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*g**2 + 6*g**2 - 10 + 4*g**2 wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*u**4 - 100541332*u**3 - 18*u**2 - 61*u + 61866.\nAnswer: -72*u - 603247992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyuunl. Give prob of picking 1 y and 1 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**5\/20 + p. Let s be -2*2\/4*-1. Let l be j(s). Solve c + 3 - l = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4108 and 18960.\nAnswer: 246480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 39 = -3*l. Let w = 10 + l. Is (0 + (-14)\/2)*w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -97*q + 96*q. Let o = -2.05 - -1.95. Which is the biggest value? (a) 1 (b) -1\/2 (c) o (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q = -3*b + 407 - 364, 3*b - 14 = 2*q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*c = 6302 + 80668. What is the lowest common multiple of c and 35?\nAnswer: 15610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*s**3 - 171*s**2 - 1365*s - 1335428.\nAnswer: -24*s**2 - 342*s - 1365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 275 and 50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1171 + 1081 - (0 - 4 - (-18 - -21))\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 90 = -3*z + 22, 4*g + 218 = -3*z. What is the second smallest value in g, 2\/3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14613 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 30*s**5 - 1737*s**4 + 16656*s**3 - 10077*s**2 - 31536*s - 3036 = 0.\nAnswer: -1, -1\/10, 2, 11, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 572 and 890968?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**3\/6 - a. Let g(f) = 58*f + 8. Let u(b) = 7*b + 1. Let o(p) = -3*g(p) + 24*u(p). Determine o(t(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-636047)\/(-5) - ((-70)\/(-25))\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from deeideedfeede.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 6:21 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w + 24*w - 5*w. Let a(r) = 2*r**2 + 6*r + 2. Let z(d) = 6*d**2 + 15*d + 5. Let y(c) = -5*a(c) + 2*z(c). Determine m(y(b)).\nAnswer: 46*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118212 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1788 - -3671\/2. Let n = x - 46. Is 3 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -261834, -261833, -261832, -261831, -261830?\n\"Answer: p - 261835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -40*n - 4515. Determine l(-146).\nAnswer: 1325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = 2*t - 3*f, 181 = 5*t - 3*t - f. Suppose -150*c + 119*c + 744 = 0. Calculate the remainder when t is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 11771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3802050 and 12240?\nAnswer: 30416400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5507 = -6139. What is the units digit of f\/(-5) - (-16)\/(-40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12743809589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10413 - 145881\/14. Calculate the common denominator of -71\/16 and x.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - y - 1. Let m = -2 + 1. Let a be x(m). Suppose 0 = -f - a*f. Solve f = -n + 2 - 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81\/2 of a litre?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -2*f, 5*f - 5506 = -5*u - 5491 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 10*y**2 + 9*y + 8. Let t be (-9)\/15*1 - (-210)\/(-25). Give x(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 39 = 11*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tiiilliltlti. What is prob of sequence tll?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 21285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 859 is divided by 859?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**2. Let v(i) = -3*i + 7. Let d(b) = -b + 2. Let p(m) = 7*d(m) - 2*v(m). Determine p(h(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 6. Let i be w(10). Let o(g) = g**2 + 5*g + 1. Let n be o(-4). Let x = 2 + n. Sort -2, i, x in ascending order.\nAnswer: i, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 9:22 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16737327, -2\/7, -4 in decreasing order.\nAnswer: 16737327, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -46. Let l = 14 - y. Are l and 0.6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.32018 decades in centuries?\nAnswer: 6.632018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(275))**2 + sqrt(11) + (-1 + sqrt(11) + 0)**2.\nAnswer: -sqrt(11) + 1112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2822.5 rounded to the nearest 10?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 7. Solve 2*v - p*l + 20 = 0, -3*l = -0*l - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36344\/32)\/(-59))\/(238\/816)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*p - 8. Let w(r) = 27*r + 42 - 47 - 26*r. Determine w(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 117 + 37*o - 71.\nAnswer: 37*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/7)*(n*((n**39\/n)\/n)\/n)\/n assuming n is positive.\nAnswer: n**(250\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 98*h**2 - 11*h - 1. Let j be q(-6). Suppose 3*t = -3*k + 2157, 5*t - 3*k - j = -6*k. What are the prime factors of t?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(-14)\/((i\/(i\/i**(-4)*i*i))\/(i\/i**5)))\/((i**(2\/5)\/i*i*i)\/(((i*i*(i\/(i**(2\/7)*i))\/i)\/i)\/i)*i**(2\/11)*i**(-1\/5)) assuming i is positive.\nAnswer: i**(-257\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -884*m**2. Let r(l) = -946*l - 946*l + 2842*l - 951*l. Give r(v(i)).\nAnswer: 884*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -332 in 21\/55, 0.1, -3\/4, 0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 5:39 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1020 - -134. What are the prime factors of c?\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 z when three letters picked without replacement from {z: 6, b: 1, v: 1, l: 5, o: 1, a: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 3\/(9\/6)) + 2. Solve 0 = -2*v + w*f, -5*v + 3*f + f = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74*-4.\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -81, -87, -93, -99?\n\"Answer: -6*b - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u - 22. Determine y(-8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53104 + -1061747\/20. Let l = 82\/5 - r. Let p = 118\/111 - -10\/37. Put p, -1, l in increasing order.\nAnswer: -1, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9455623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*r - 29. Find the second derivative of -8*t**4 - 10*t + 2*t + r*t wrt t.\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 12) in base 11?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * -5278272\nAnswer: 580609.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v. Let q = 70 + -58. Suppose f - 2 = -3*w - 6, -2*f = -4*w - q. Let x(t) = 2*t**2 - 17*t**2 - f*t**2 - 4*t**2. Calculate x(z(a)).\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60962.36 microseconds to milliseconds.\nAnswer: 60.96236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27545 is divided by 6883?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33467, -66731, -99997, -133265?\n\"Answer: -q**2 - 33261*q - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (63 + -63 + 2 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63115720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1219401 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -2. Let c(g) = -g - 3. List the prime factors of c(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.128378837 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26786 and 236?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -29. Let o be 4\/(100\/f)*5. Suppose 15 = o*a, 2*z + 3 = 3*z - 5*a. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*c = -3807 - 1111, 0 = -4*n - 4*c + 9836. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49855667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55201453 or 55201460?\nAnswer: 55201460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}